question stringlengths 33 165 | answer stringlengths 6 35 |
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b'Factor -12/5*c**3 + 0 - 93/5*c + 75*c**2.\n' | b'-3*c*(c - 31)*(4*c - 1)/5\n' |
b'Let o = -376/203 + 91/29. Factor 3/7*t**4 + 0 + o*t**2 + 2/7*t + 10/7*t**3.\n' | b't*(t + 1)*(t + 2)*(3*t + 1)/7\n' |
b'Let f(z) = 2*z**3 - 4*z**2 + 5*z - 12. Let u be f(3). Let j = 23 - u. Suppose 12/5*r**j - 8/5 + 4/5*r = 0. What is r?\n' | b'-1, 2/3\n' |
b'Let r = -933 + 937. Let k(w) be the second derivative of -8*w + 0 - 2/21*w**3 + 1/14*w**r - 1/105*w**6 + 0*w**5 + 0*w**2. Factor k(g).\n' | b'-2*g*(g - 1)**2*(g + 2)/7\n' |
b'Suppose 4*j = 3*j + g + 9, -4*g = -2*j + 28. Determine h so that -10*h**2 - 23*h**j + 3*h**4 + 3*h**5 - 8*h**5 - 25*h**3 = 0.\n' | b'-2, -1, 0\n' |
b'Let s(d) = d**3 - 9*d**2 - 12*d + 24. Let n be s(10). Solve -30*y**2 + 5*y + 21*y**n + 10*y**3 + 5 + 4*y**5 + 4*y**4 - 19*y**5 = 0 for y.\n' | b'-1, -1/3, 1\n' |
b'Let y(t) = t**4 - 11*t**3 - 26*t**2 + 44*t + 12. Let v(z) = 2*z**4 - 12*z**3 - 27*z**2 + 43*z + 9. Let c(o) = -4*v(o) + 3*y(o). Solve c(m) = 0.\n' | b'-2, 0, 1, 4\n' |
b'Let a(s) = -s**3 + 7*s**2 - 2*s - 18. Let g be a(6). Factor 79 - g*y + 171 - 144*y + 30*y**2 - 2*y**3.\n' | b'-2*(y - 5)**3\n' |
b'Let r(z) be the third derivative of -z**5/60 + 5*z**4/24 - 2*z**3/3 - 29*z**2. Factor r(g).\n' | b'-(g - 4)*(g - 1)\n' |
b'Let l(g) = -2*g - 42. Let p be l(-22). Let u be p + (-30)/18 - -1. Factor 2/3*f**2 + 0 - u*f.\n' | b'2*f*(f - 2)/3\n' |
b'Let x(n) = 103*n + 42*n + 115*n - 36*n**2 - 69. Let l(h) = -9*h**2 + 65*h - 17. Let a(r) = -26*l(r) + 6*x(r). Determine y so that a(y) = 0.\n' | b'2/9, 7\n' |
b'Let q(w) be the first derivative of 4*w**3/3 - 4*w**2 - 37. Factor q(a).\n' | b'4*a*(a - 2)\n' |
b'Suppose -2*p + 8 = 3*o, 5*p - 11*o = -13*o + 20. Let -4/7*g - 4/7*g**3 + 1/7*g**p + 6/7*g**2 + 1/7 = 0. What is g?\n' | b'1\n' |
b'Let a be 2*2/(-14) + 5*(-70)/(-196). Factor a*l**3 + 3/2*l**2 - l**4 - l + 0.\n' | b'-l*(l - 2)*(l + 1)*(2*l - 1)/2\n' |
b'Suppose -129*u + 6 = -134*u + 3*a, 2*u = 4*a - 8. Let -1/4*j**5 + u*j**2 + 0*j + 0 - 9/4*j**3 - 3/2*j**4 = 0. What is j?\n' | b'-3, 0\n' |
b'Let c(h) be the third derivative of 0 + 1/120*h**5 + 0*h - 1/6*h**4 + 7/12*h**3 + 4*h**2. Solve c(z) = 0 for z.\n' | b'1, 7\n' |
b'Let u(v) = 5*v**3 + 41*v**2 - 516*v - 576. Let i(t) = -t**3 + t**2 - 2*t. Let m(j) = 6*i(j) + u(j). Find c such that m(c) = 0.\n' | b'-1, 24\n' |
b'Let i(b) be the second derivative of -b**6/45 + b**4/3 - 8*b**3/9 + b**2 + 602*b - 2. Factor i(c).\n' | b'-2*(c - 1)**3*(c + 3)/3\n' |
b'Let c = 53/12 - 155/84. Factor c*v**4 - 22/7*v**3 + 0*v + 4/7*v**2 + 0.\n' | b'2*v**2*(v - 1)*(9*v - 2)/7\n' |
b'Let o be (35/(-6))/(-35) + (-2)/(-6). What is w in -1/4*w**3 - 1/4*w + o*w**2 + 0 = 0?\n' | b'0, 1\n' |
b'Let z(y) = y**2 + 4*y - 8. Let h = -25 + 19. Let w be z(h). Let 2*p**3 - 4*p**w + 4*p**2 - 2*p**5 + 21*p - 21*p = 0. What is p?\n' | b'-2, -1, 0, 1\n' |
b'Factor 5*i**3 + 45*i - 20*i - 30*i.\n' | b'5*i*(i - 1)*(i + 1)\n' |
b'Suppose -2*y + 0*y + 24 = 0. Let u be -8*((-3)/y + 0). Let 2*l - 2*l**u - 1 - 4*l**2 + 5*l**2 = 0. Calculate l.\n' | b'1\n' |
b'Factor 3/4*t**2 + 183/2 - 189/4*t.\n' | b'3*(t - 61)*(t - 2)/4\n' |
b'Factor 3/4*w**2 + 0 + 459/4*w.\n' | b'3*w*(w + 153)/4\n' |
b'Let p(w) be the first derivative of 10*w**4 + 110*w**3/3 - 35*w**2/2 - 15*w + 6. Factor p(t).\n' | b'5*(t + 3)*(2*t - 1)*(4*t + 1)\n' |
b'Let t(u) be the second derivative of 5/42*u**7 + 0*u**6 - 8*u + 0*u**3 + 0*u**2 - 1/4*u**5 + 0*u**4 + 0. Let t(o) = 0. What is o?\n' | b'-1, 0, 1\n' |
b'Let n(p) = p**2 + 7*p - 2. Let k be n(-7). Let l be k*((-6)/(-16))/(12/(-8)). Let 1/2*i**4 + 1/2*i**3 + 0 - 1/2*i**2 - l*i = 0. What is i?\n' | b'-1, 0, 1\n' |
b'Let s = -490/3 - -164. Factor -4/3 + s*f**2 + 2/3*f.\n' | b'2*(f - 1)*(f + 2)/3\n' |
b'Factor 0*y + 1/3*y**3 - 17/3*y**2 + 0.\n' | b'y**2*(y - 17)/3\n' |
b'Let p(q) be the third derivative of -q**6/90 - 13*q**5/45 - 2*q**4/3 - q**2 - 73. Determine y, given that p(y) = 0.\n' | b'-12, -1, 0\n' |
b'Suppose 0 = 5*z - 4*v - 122, -3*v + 35 = 2*z - 0*v. Suppose z = f + 19. What is q in -9*q**3 + 9*q + f*q**4 + 6*q - 3*q = 0?\n' | b'-1, 0, 2\n' |
b'Let b be (58 + 5)/(-7) + 2192/240. Factor b*i**2 + 0 - 2/15*i**3 + 4/5*i.\n' | b'-2*i*(i - 3)*(i + 2)/15\n' |
b'Determine a, given that -6 + 25 - 12*a + 13 + 3*a**2 + 6*a**2 - 11*a**2 = 0.\n' | b'-8, 2\n' |
b'Factor 9 + 135*j**2 + 16*j**3 - 4*j**3 - 42*j - 114*j**2.\n' | b'3*(j - 1)*(j + 3)*(4*j - 1)\n' |
b'Let v be (9/(-15))/((-18)/10). Let o(q) be the first derivative of -1/4*q**4 + 0*q + 5 - v*q**3 + 0*q**2. Factor o(a).\n' | b'-a**2*(a + 1)\n' |
b'Let r(o) be the third derivative of o**6/720 + o**5/360 - o**4/18 - o**3/3 + 68*o**2. Factor r(j).\n' | b'(j - 3)*(j + 2)**2/6\n' |
b'Let -20/3*w - 2*w**5 - 50*w**3 + 34*w**2 + 74/3*w**4 + 0 = 0. Calculate w.\n' | b'0, 1/3, 1, 10\n' |
b'Let f(u) be the second derivative of u**6/90 + 7*u**5/30 + 159*u. Determine y so that f(y) = 0.\n' | b'-14, 0\n' |
b'Let i(f) be the second derivative of 2/5*f**6 - f**4 + 0 - 2/21*f**7 - 1/5*f**5 + 4/3*f**3 + 0*f**2 - 34*f. Find x such that i(x) = 0.\n' | b'-1, 0, 1, 2\n' |
b'Suppose -3*w + n + 13 + 4 = 0, -3*n + 9 = 3*w. Factor 1 + r + 0*r**2 + 0*r**w - 2*r**3 + 9*r**4 + r**5 - 8*r**4 - 2*r**2.\n' | b'(r - 1)**2*(r + 1)**3\n' |
b'Let r(b) be the first derivative of 2*b**3 + 23*b**2 - 16*b - 122. Factor r(k).\n' | b'2*(k + 8)*(3*k - 1)\n' |
b'Let h(i) = -32*i + 11 + 25*i + 2*i**2 - 3. Let a be h(7). Solve 32*f**2 - a - 1024*f**3 + 7 - 868*f**4 - 14 - 196*f**5 + 320*f = 0 for f.\n' | b'-2, -1, 2/7\n' |
b'Let z be ((-116)/(-87))/(4/6). Let w(a) = -a**4 - a**2. Let r(t) = 0*t**4 - 2*t**4 + t**4. Let o(g) = z*r(g) - w(g). Factor o(p).\n' | b'-p**2*(p - 1)*(p + 1)\n' |
b'Suppose 1 + 1 = h. Suppose i + 2*w - 2 = 0, -2*i - h*i + 11 = 5*w. Factor 5*m**4 + 4*m - 3*m**4 + m**3 + 9*m**3 + 16*m**2 + i*m.\n' | b'2*m*(m + 1)*(m + 2)**2\n' |
b'Let g(k) be the second derivative of -k**5/70 - k**4/14 + 4*k**2/7 - 168*k. Factor g(y).\n' | b'-2*(y - 1)*(y + 2)**2/7\n' |
b'Suppose -10 + 4 = -2*j. Let i(g) = 3*g - 3. Let n be i(j). Factor -4*q**3 - q**3 + 3*q**2 + 2*q**3 + n*q.\n' | b'-3*q*(q - 2)*(q + 1)\n' |
b'Let c(i) be the first derivative of -4*i**3/9 + 16*i**2/3 - 28*i/3 - 50. Solve c(q) = 0.\n' | b'1, 7\n' |
b'Let l(m) be the second derivative of m**6/165 - 3*m**5/110 + m**4/22 - m**3/33 + 147*m. Factor l(b).\n' | b'2*b*(b - 1)**3/11\n' |
b'Let f be (-5)/((-1575)/282) + (-112)/140. Solve -2/7*u**3 - 2/7*u**2 - f*u + 0 - 2/21*u**4 = 0 for u.\n' | b'-1, 0\n' |
b'Let d(f) = 7*f + 2 - 7*f + 3*f. Let y be d(3). Suppose -2 - 8*n**2 + 61*n**3 - 49*n**3 + y*n - 33*n**3 = 0. What is n?\n' | b'-1, 2/7, 1/3\n' |
b'Let a(k) = k**2 - 71*k + 710. Let c be a(59). Let 8/19*j**c + 0 - 2/19*j = 0. Calculate j.\n' | b'0, 1/4\n' |
b'Factor 38/3 - 9*m + 4/3*m**2.\n' | b'(m - 2)*(4*m - 19)/3\n' |
b'Find t, given that -3*t - 3/2*t**4 + 3/2*t**2 + 9/2*t**3 + 0 - 3/2*t**5 = 0.\n' | b'-2, -1, 0, 1\n' |
b'Let i(g) be the first derivative of g**4/2 + 26*g**3/3 + 35*g**2 - 98*g - 2. Factor i(b).\n' | b'2*(b - 1)*(b + 7)**2\n' |
b'Suppose -5*m = 3*p - 4, 4*p = 4*m - 0*m + 48. Factor p + 0*l + 76*l**2 - 4*l - 80*l**2.\n' | b'-4*(l - 1)*(l + 2)\n' |
b'Suppose -4*q = -15 + 7. Find m such that -7 - 4*m**2 - q*m - 14*m + 27 = 0.\n' | b'-5, 1\n' |
b'Determine f, given that -3*f + 3*f - 2*f**4 - 9*f**3 + 382*f**2 - 380*f**2 + f**5 + 0*f**5 + 8*f = 0.\n' | b'-2, -1, 0, 1, 4\n' |
b'Let z(c) be the second derivative of 5/18*c**3 - 1/18*c**6 + 0*c**2 + 1/4*c**5 + 0 - 5/12*c**4 + 7*c. Factor z(r).\n' | b'-5*r*(r - 1)**3/3\n' |
b'Let s = -3 + 9. Suppose 16*l - 30 = s*l. Factor -10/3*a**4 + 6*a**l + 2/3*a**5 + 0 - 14/3*a**2 + 4/3*a.\n' | b'2*a*(a - 2)*(a - 1)**3/3\n' |
b'Let v be (-1)/(3/(-15)*1). Let a be v/3 + 2/6. Solve 16*y**5 + 2*y**2 - 4*y + 60*y**3 - 18*y**3 - 4*y**a + 21*y**4 - 73*y**4 = 0.\n' | b'-1/4, 0, 1/2, 1, 2\n' |
b'Let d(l) = -l**4 + l**3 + l**2 + 2*l + 1. Let x(n) = 6*n**4 - 118*n**3 - 1066*n**2 - 4372*n - 6154. Let q(p) = 10*d(p) + x(p). Solve q(o) = 0 for o.\n' | b'-8, -3\n' |
b'Suppose 2/11*y**2 - 4/11*y - 6/11 = 0. What is y?\n' | b'-1, 3\n' |
b'Let 41*c**2 + 68*c**4 + 18*c**3 - 8*c**2 - 95*c**4 - 12 - 12*c = 0. What is c?\n' | b'-2/3, 1\n' |
b'Let q(d) be the first derivative of -d**4/34 + 2*d**3/51 + 6*d**2/17 - 591. Factor q(g).\n' | b'-2*g*(g - 3)*(g + 2)/17\n' |
b'Determine b so that 1/4*b**2 - 3/2 + 1/4*b = 0.\n' | b'-3, 2\n' |
b'Let n be ((-7)/(-420)*-1)/((-18)/75). Let f(c) be the third derivative of 0*c + 1/90*c**5 - n*c**4 + 4*c**2 + 0 - 1/6*c**3. Factor f(h).\n' | b'(h - 3)*(2*h + 1)/3\n' |
b'Suppose d - 6 = -d, -d + 93 = 5*v. Suppose f = x - 2*x + v, -3*x + 4*f + 68 = 0. Factor 8*q - 4/5 - x*q**2.\n' | b'-4*(5*q - 1)**2/5\n' |
b'Let p(l) be the second derivative of -1/72*l**4 - 9*l + 0*l**3 + 0 + 1/3*l**2. Solve p(i) = 0 for i.\n' | b'-2, 2\n' |
b'Let f(w) be the second derivative of -w**4/12 - 23*w**3/3 - 529*w**2/2 + 25*w. Factor f(u).\n' | b'-(u + 23)**2\n' |
b'Factor -9*p - 8*p**3 + 64*p - 6*p**2 - 4*p**3 - 23*p + 24 + 2*p**4.\n' | b'2*(p - 6)*(p - 2)*(p + 1)**2\n' |
b'Suppose 0 = -0*d - 11*d + 33. Suppose 3*m - 12 = -d. Determine y, given that 0 + 0*y**m - 2/5*y**4 + 4/5*y + 6/5*y**2 = 0.\n' | b'-1, 0, 2\n' |
b'Factor -1/5*d**5 + 0*d**2 + 0*d + 0 - 3/5*d**3 + 4/5*d**4.\n' | b'-d**3*(d - 3)*(d - 1)/5\n' |
b'Suppose 14*q - 10*q - 8 = 0. Find o, given that 1/7*o + 0*o**q + 0 - 1/7*o**3 = 0.\n' | b'-1, 0, 1\n' |
b'Let n be (0 - 3/(-11))/(129/172). Find i, given that -14/11*i - n*i**2 - 8/11 + 2/11*i**3 = 0.\n' | b'-1, 4\n' |
b'Suppose m + 3 = 0, -4*x + 4*m = 3*m - 3. Determine r so that x + 1/7*r**3 + 0*r - 1/7*r**2 = 0.\n' | b'0, 1\n' |
b'Let c be 16 + -29 - 74/(-3). Factor 20/3 + 5/2*l**2 - c*l.\n' | b'5*(l - 4)*(3*l - 2)/6\n' |
b'Let s(b) be the third derivative of 0*b + 3/20*b**6 + 1/168*b**8 + 3*b**2 - 7/30*b**5 + 1/6*b**4 - 1/21*b**7 + 0*b**3 + 0. Determine y so that s(y) = 0.\n' | b'0, 1, 2\n' |
b'Suppose -14*p = -33*p + 57. Factor -13*g + 5*g**4 + 0*g**4 + 73*g - 60*g**p + 175*g**2 - 180.\n' | b'5*(g - 6)**2*(g - 1)*(g + 1)\n' |
b'What is g in 4/5*g**4 + 68/5*g**3 + 160 + 168/5*g**2 - 208*g = 0?\n' | b'-10, 1, 2\n' |
b'Let c(j) be the second derivative of -2*j**5/5 + 5*j**4/3 + 46*j**3/3 + 20*j**2 + j + 27. Solve c(l) = 0.\n' | b'-2, -1/2, 5\n' |
b'Let d = -56871/7 - -8125. Factor 20/7 + d*o**2 + 24/7*o.\n' | b'4*(o + 1)*(o + 5)/7\n' |
b'Let t(n) = 86*n + 346. Let m be t(-4). Factor 0 - 1/4*x - 1/4*x**m.\n' | b'-x*(x + 1)/4\n' |
b'Suppose -3*p - 29 = -2*r, -3*r + 3*p = -18 - 21. Let m = 8 + r. Factor m*c - 2*c**2 - c**2 - 13*c - 8*c + 6.\n' | b'-3*(c - 1)*(c + 2)\n' |
b'Let j(i) be the first derivative of i**3/4 - 33*i**2/8 - 63*i/2 + 591. What is g in j(g) = 0?\n' | b'-3, 14\n' |
b'Let k(f) = -8*f**4 + 17*f**3 - 53*f + 48. Let a(x) = -48 + 7*x**4 - 8*x**2 + 52*x - 16*x**3 - 4*x**2 + 12*x**2. Let v(y) = 5*a(y) + 4*k(y). Factor v(c).\n' | b'3*(c - 2)**3*(c + 2)\n' |
b'Let b(f) be the second derivative of 0 + 0*f**2 + 4/3*f**3 + 42*f + 9/5*f**5 - 2/3*f**6 - 7/3*f**4 + 2/21*f**7. Solve b(r) = 0 for r.\n' | b'0, 1, 2\n' |
b'Let a(o) = -o**2 + 12*o. Let j be a(12). Determine g so that 4 + 24*g**2 + 30*g**4 - 16*g**3 - 26*g**4 + j*g**2 - 16*g = 0.\n' | b'1\n' |
b'Let n(h) be the second derivative of h**4 - 1/15*h**5 - 1/2*h**2 + 0 - 2*h - 6*h**3. Let v(w) be the first derivative of n(w). Find b, given that v(b) = 0.\n' | b'3\n' |
b'Let c = 2623/6 + -437. Let d(v) be the first derivative of c*v**4 - 4 + 0*v + 0*v**2 - 2/3*v**3. Solve d(x) = 0.\n' | b'0, 3\n' |
b'Let i be ((-8)/(-12))/((-2)/(-11)). Let w be ((-3)/(-4))/((-294)/(-56) - 3). Suppose i*y**3 + 1/3 - 3*y**2 + w*y - 4/3*y**4 = 0. What is y?\n' | b'-1/4, 1\n' |
b'Suppose 8*j = 3*j + 295. Suppose 0 = 4*y + 5*q - 0*q - j, -5*q = 5. Factor -18*m**2 - 4 + 0 - 6*m + y*m**2.\n' | b'-2*(m + 1)*(m + 2)\n' |
b'Determine d so that 3/2*d**5 - 39/2*d**4 - 60*d + 111/2*d**2 - 66 + 57/2*d**3 = 0.\n' | b'-1, 2, 11\n' |
b'Let h(b) be the second derivative of -22*b - 9/100*b**5 + 1/50*b**6 + 0 - 3/5*b**2 + 3/10*b**3 + 1/20*b**4. Find f, given that h(f) = 0.\n' | b'-1, 1, 2\n' |
b'Suppose -2*x - 81*y + 87*y - 8 = 0, x - 4*y = -7. Find n such that 11/2*n - 11/2*n**3 - x + 9/2*n**2 + 1/2*n**4 = 0.\n' | b'-1, 1, 10\n' |
b'Let h be (3/(-2))/((-2)/7). Let d(w) be the first derivative of 9*w**3 + 6/5*w**5 + 3*w + 3 - h*w**4 - 15/2*w**2. Determine x, given that d(x) = 0.\n' | b'1/2, 1\n' |
b'Determine t so that -24/7 - 4/7*t + 4/7*t**2 = 0.\n' | b'-2, 3\n' |
b'Suppose 0 = 3*u + u - 108. Suppose 4*k + 20 = 0, -u = -5*c + 5*k + 8. Let 0 + 2/9*f**c + 8/9*f**3 + 0*f = 0. Calculate f.\n' | b'-1/4, 0\n' |
b'Let p(w) = -55*w**2 + 120*w - 90. Let z(n) = -5*n**2 + 11*n - 8. Let v(u) = -4*p(u) + 45*z(u). Find t, given that v(t) = 0.\n' | b'0, 3\n' |
b'What is p in -22/3*p**2 - 2/3*p**3 + 8/3*p + 88/3 = 0?\n' | b'-11, -2, 2\n' |
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