28/5*a**3 = 0. What is a?
-1, -2/7, 1
Let d(p) = -2*p + 50. Let l be d(0). Factor -120*m + 6*m**4 + 140*m**2 - m**4 + 1 - 1 - l*m**3.
5*m*(m - 6)*(m - 2)**2
Suppose 0 = -4*a + 3*c + 5, -37*c + 14 = 5*a - 33*c. Factor 0*r + 2/11*r**3 - 4/11*r**a + 0.
2*r**2*(r - 2)/11
Let z = 12021 - 12017. Factor 1/4*h**5 - 1/2 - 7/4*h - 1/2*h**3 + 1/2*h**z - 2*h**2.
(h - 2)*(h + 1)**4/4
Let n(j) = 4*j**5 - 4*j**4 + 18*j**3 + 34*j**2 + 38*j. Let x(i) = 9*i**5 - 7*i**4 + 39*i**3 + 67*i**2 + 77*i. Let k(m) = -13*n(m) + 6*x(m). Solve k(r) = 0.
-4, -2, -1, 0, 2
Let d(i) = -25*i**2 + 502*i + 7. Let u(v) = 21*v**2 - 504*v - 6. Let m(x) = -6*d(x) - 7*u(x). Factor m(o).
3*o*(o + 172)
Suppose 0*x + 2*f - 8 = x, -3*x = -3*f + 30. Let d be x/(-35)*(-140)/(-40). Solve d*c**4 - 6/5*c**2 + 3/5*c**5 + 0*c**3 + 0 - 3/5*c = 0 for c.
-1, 0, 1
Determine j so that 240*j - 5*j**2 - 3 - 21 + 24 = 0.
0, 48
Let v(c) be the third derivative of c**7/210 + c**6/8 + 9*c**5/20 + 13*c**4/24 + 314*c**2 - c. What is t in v(t) = 0?
-13, -1, 0
Let g(n) = -6*n**2 + 112*n - 1800. Let l(q) = q**2 + 2*q. Let t(d) = g(d) + 4*l(d). Let t(s) = 0. Calculate s.
30
Let c(v) = -v**2 - 7*v + 48. Let u be c(-11). Let 6 - 1 - u*i**2 + 2 + 3*i**2 - 6*i = 0. What is i?
-7, 1
Suppose -162 = -177*x + 179*x. Let b be 18/x + (-3 - 2116/(-612)). Determine v, given that 6/17*v**4 - 2/17 - 2/17*v**5 - 4/17*v**3 + 6/17*v - b*v**2 = 0.
-1, 1
Let g(c) be the second derivative of 17*c**4/12 - 2*c**3 - c**2 - 6*c. Let b(s) = 16*s**2 - 12*s - 1. Let d(m) = -5*b(m) + 4*g(m). Factor d(r).
-3*(2*r - 1)**2
Let i be -3*((-39)/9 + (0 - -3)). Factor 2*y**3 + y**3 + 6*y**4 - 2*y**2 - 4*y + y**3 - 4*y**i.
2*y*(y - 1)*(y + 1)*(y + 2)
Let n(c) = -c**3 + 2*c**2 + 2*c + 1. Let q(z) = z**2 + 5*z - 15. Let p be q(-7). Let u be n(p). Factor 0*b**2 + b**2 + 4*b**3 - 4*b**u - b**3.
3*b**2*(b - 1)
Let d(b) = -199*b**3 + 249*b**2 - 57*b + 7. Let g(v) = 2188*v**3 - 2740*v**2 + 628*v - 76. Let r(o) = 32*d(o) + 3*g(o). Factor r(c).
4*(c - 1)*(7*c - 1)**2
Let u(b) = b**2 - 9*b + 11. Let y be u(8). Suppose 25 = y*p + 2*p - 2*q, -4*p - 2*q = -20. Determine a so that -a - 1 + p*a - 3*a**2 - 5 + 5*a = 0.
1, 2
Let t = -64 + 42. Let r be ((-22)/t)/((-2)/(-4)). Factor -1/4*g**4 + g**3 - 1/4 - 3/2*g**r + g.
-(g - 1)**4/4
Suppose -7*j - 26 + 5 = 0. Let z be 4 - (-5 - j) - (-12)/(-3). Find y, given that 4/5 + 98/5*y**5 - 28/5*y - 203/5*y**4 + 92/5*y**3 + 37/5*y**z = 0.
-1/2, 2/7, 1
Let r = 129 - 1933/15. Let x(n) be the first derivative of 2/5*n**2 + 5 - r*n**3 + 0*n. Factor x(k).
-2*k*(k - 2)/5
Let c be 84/50*(-620)/(-186). Factor 4/5 - 8/5*j - c*j**2 - 16/5*j**3.
-4*(j + 1)**2*(4*j - 1)/5
Let n(o) be the second derivative of 1/360*o**6 - 8*o + 1/9*o**3 + 1/45*o**5 + 5/72*o**4 + 4*o**2 + 0. Let w(l) be the first derivative of n(l). Factor w(i).
(i + 1)**2*(i + 2)/3
Let f(a) be the third derivative of -13*a**5/24 + 245*a**4/18 - 25*a**3/9 - 69*a**2 + 1. Determine i, given that f(i) = 0.
2/39, 10
Factor -17*c**3 - 21*c**3 + c**4 + 4*c**5 + 4 + 3*c**4 + 4*c - 8*c**2 + 30*c**3.
4*(c - 1)**2*(c + 1)**3
Let a(c) = -2*c**5 - c**3 - c**2 + c. Let i(h) = 12*h**5 - 45*h**4 - 24*h**3 + 387*h**2 + 759*h + 288. Let y(p) = -9*a(p) - i(p). Determine d so that y(d) = 0.
-4, -2, -1/2, 3
Suppose 7*m = 39 + 52. Let 24 + 15*u**3 - m + 6*u**2 - 11 - 21*u**4 = 0. Calculate u.
-2/7, 0, 1
Factor 2/7*i**4 - 6/7*i - 2/7*i**3 + 0 - 10/7*i**2.
2*i*(i - 3)*(i + 1)**2/7
Suppose 0 = -4*q - 3*m + 5, 2*m - 3 = -3*q + 1. Factor 8/7*k**q + 4/7 - 10/7*k - 2/7*k**3.
-2*(k - 2)*(k - 1)**2/7
Let v(h) be the third derivative of -h**7/840 + 13*h**6/480 + 29*h**5/240 + 5*h**4/32 + 543*h**2. Factor v(z).
-z*(z - 15)*(z + 1)**2/4
Let f(h) be the third derivative of -h**8/336 + 2*h**6/15 + 19*h**5/30 + 11*h**4/8 + 5*h**3/3 - 400*h**2. Factor f(z).
-(z - 5)*(z + 1)**3*(z + 2)
Let r(d) = -7*d**3 + 101*d**2 - 119*d - 61. Let p(m) = 4*m**3 - 50*m**2 + 59*m + 29. Let j(k) = -14*p(k) - 6*r(k). Factor j(f).
-2*(f - 5)*(f - 2)*(7*f + 2)
Let f(z) be the third derivative of -2/35*z**6 - 4/245*z**7 + 0*z**4 - 1/588*z**8 + 7*z**2 + 0*z + 0*z**3 - 8/105*z**5 + 0. Factor f(r).
-4*r**2*(r + 2)**3/7
Let r(b) = 9*b - 5. Let s be r(-7). Let n = -65 - s. Factor -3*j**2 + 0*j + 0 - 3/4*j**4 - n*j**3.
-3*j**2*(j + 2)**2/4
Suppose -2*c = -c - 2*f - 13, 0 = c - 4*f - 9. Suppose -5*g + 112 = c. Let g*m + 2*m - 15*m**2 - 12*m**3 + 6 + 0 + 0*m = 0. What is m?
-2, -1/4, 1
Let p(m) = 2*m**2 - 24*m + 64. Let j(s) = 2*s**2 - 24*s + 62. Let u(x) = -4*j(x) + 5*p(x). Let u(k) = 0. What is k?
6
Let k(a) = 5*a**3 + 4*a**2 - 2*a - 2. Let j(y) = -16*y**3 - 11*y**2 + 7*y + 7. Let q(z) = 2*j(z) + 7*k(z). Factor q(g).
3*g**2*(g + 2)
Let m(n) = 2*n**2 + 6*n - 3. Let y be m(-5). Suppose -4*h + 9*h = 50. Factor -8*t**2 + 6*t**3 - 2 - h + y*t - 43*t.
2*(t - 3)*(t + 1)*(3*t + 2)
Let t(j) be the first derivative of 3*j**4/10 - 13*j**3/5 + 36*j**2/5 - 27*j/5 - 142. Factor t(a).
3*(a - 3)**2*(2*a - 1)/5
Let j = -4/21 + 26/63. What is x in -16/9*x**3 + 10/9*x**4 + 4/9*x + 0 + j*x**2 = 0?
-2/5, 0, 1
Let u(y) be the second derivative of 1/30*y**6 + 1/20*y**5 - 5/6*y**3 - 1/4*y**4 - y**2 + 0 - 12*y. Suppose u(f) = 0. Calculate f.
-1, 2
What is k in -74 + k**5 + 3*k**4 + 74 - 3*k**2 - k**3 = 0?
-3, -1, 0, 1
Let d(l) be the first derivative of l**5/25 - l**4/4 + 54. Factor d(f).
f**3*(f - 5)/5
Let h(l) = -11*l**3 - 27*l**2 - 53*l - 13. Let q(s) = -22*s**2 - 7*s**3 + 4*s**2 - 6 + 6 - 35*s - 9. Let o(g) = 5*h(g) - 8*q(g). Factor o(b).
(b + 1)**2*(b + 7)
Let h be 1/2*-2 - 8. Let k be (-2)/(-10) - h/5. Solve 4*b - 5*b**2 + 2*b**4 + 17*b**3 - 21*b**3 + 3*b**k = 0.
-1, 0, 1, 2
Let u(l) be the second derivative of 2*l**7/49 + 38*l**6/15 + 412*l**5/7 + 592*l**4 + 5824*l**3/3 + 1568*l**2 - 231*l. Solve u(p) = 0 for p.
-14, -2, -1/3
Let l(h) be the third derivative of -h**6/280 + 11*h**5/140 - 13*h**4/28 + 8*h**3/7 + 30*h**2 - h. Solve l(s) = 0 for s.
1, 2, 8
Let a(p) be the third derivative of 2*p**7/105 - p**6/10 - p**5/5 + 7*p**4/6 + 4*p**3 - p**2 - 24. Factor a(d).
4*(d - 3)*(d - 2)*(d + 1)**2
Let w be 15/3 - (-9 - -12). Let z(h) be the first derivative of -18*h - 7 - 2/3*h**3 + 6*h**w. Determine b so that z(b) = 0.
3
Factor -40/7 - 78/7*q + 2/7*q**3 - 36/7*q**2.
2*(q - 20)*(q + 1)**2/7
Let a(y) be the second derivative of -y**4/48 - 5*y**3/3 - 39*y**2/8 + 236*y + 1. Solve a(v) = 0.
-39, -1
Factor -2/11*g**5 - 4/11*g**3 + 6/11*g**4 + 0*g + 0*g**2 + 0.
-2*g**3*(g - 2)*(g - 1)/11
Factor 0*v - 3*v**2 - 5/2*v**3 - 1/2*v**4 + 0.
-v**2*(v + 2)*(v + 3)/2
Let l(o) be the third derivative of o**8/672 + 3*o**7/140 + 29*o**6/240 + 13*o**5/40 + 3*o**4/8 + 537*o**2. Find q, given that l(q) = 0.
-3, -2, -1, 0
Solve 60*s**2 + 4*s**4 + 5*s - 35 + 19 + 19*s + 34*s**3 + 2*s**4 = 0 for s.
-2, 1/3
Let i(d) be the second derivative of -d**4/12 - 232*d**3/3 - 26912*d**2 - 660*d. Suppose i(l) = 0. What is l?
-232
Let d be ((-364)/455)/((-19)/5). Suppose 2/19*q**3 + 2/19*q**2 - d*q + 0 = 0. What is q?
-2, 0, 1
Let k(s) be the first derivative of 0*s**2 + 2/35*s**5 - 3/7*s**4 + 16/21*s**3 + 0*s - 26. Factor k(d).
2*d**2*(d - 4)*(d - 2)/7
Factor 7/9*s**3 + 1/9*s**4 - 2 - 1/3*s + 13/9*s**2.
(s - 1)*(s + 2)*(s + 3)**2/9
Find i such that 100/21 + 104/21*i**2 - 2/21*i**3 - 202/21*i = 0.
1, 50
Find j, given that 32*j + 26/7*j**3 - 120/7*j**2 - 128/7 - 2/7*j**4 = 0.
1, 4
Let s(i) be the second derivative of -25/2*i**2 + 0 + 1/4*i**5 - 30*i - 35/12*i**4 + 55/6*i**3. Let s(q) = 0. What is q?
1, 5
Let f(g) be the third derivative of -g**7/6300 - g**6/600 - g**5/150 - g**4/12 - 5*g**2. Let j(p) be the second derivative of f(p). Solve j(a) = 0.
-2, -1
Solve -62/7*f**2 - 20/7*f + 10/7*f**5 + 10/7*f**3 + 46/7*f**4 + 16/7 = 0 for f.
-4, -1, 2/5, 1
Factor 120*x**2 + 18 - 11*x**2 + 403*x**2 + 192*x.
2*(16*x + 3)**2
Let o(s) = s - 17. Let w be o(17). Let u be ((-2)/(w + 16))/(58/(-116)). Factor -1/2*z**2 + 0*z + 1/4 + u*z**4 + 0*z**3.
(z - 1)**2*(z + 1)**2/4
Determine g so that 158/5*g**2 + 156/5*g - 2/5 = 0.
-1, 1/79
Let k = 147024/19 + -7738. Factor k + 0*n - 2/19*n**2.
-2*(n - 1)*(n + 1)/19
Let t(d) be the first derivative of 3*d**5/5 + 3*d**4/2 - 7*d**3 + 6*d**2 - 83. Solve t(z) = 0 for z.
-4, 0, 1
Factor -2/9*c**5 + 0*c + 0 - 10/9*c**4 - 2/3*c**3 + 2*c**2.
-2*c**2*(c - 1)*(c + 3)**2/9
Fact