Suppose -24 = -7*v + v. Determine s, given that -s - 2*s - v*s**2 + 7*s + 4 - 8*s + 4*s**3 = 0.
-1, 1
Let i(f) = -f**3 - 8*f**2 + 3. Let c be i(-8). Let a = c + -1. Factor 3*j**2 + 3*j - 4*j - 2*j**a + 0*j.
j*(j - 1)
Let r(n) = -3*n**4 - n**3 + 3*n**2 - n - 2. Let p(w) be the first derivative of -w + 3 - 1/2*w**2. Let c(a) = -6*p(a) + 3*r(a). Factor c(o).
-3*o*(o - 1)*(o + 1)*(3*o + 1)
Let a(v) be the first derivative of -v**6/2 - 6*v**5/5 + 9*v**4/4 + 4*v**3 - 6*v**2 - 81. Solve a(x) = 0.
-2, 0, 1
Let v(o) be the second derivative of 5/42*o**7 + 5/6*o**3 - 1/6*o**6 - 1/2*o**5 - 5/2*o**2 + 0 + 5/6*o**4 + 11*o. Factor v(w).
5*(w - 1)**3*(w + 1)**2
Let y = 198 - 196. Let q(o) be the first derivative of -8/3*o**3 + 3 - 4*o - 5*o**y - 1/2*o**4. Factor q(d).
-2*(d + 1)**2*(d + 2)
Let q(x) be the second derivative of -3*x**5/20 + x**4/6 + x**3/2 - x**2 - 44*x. Let q(m) = 0. Calculate m.
-1, 2/3, 1
Suppose 2*y - 3*f = 17, -y + 3*y + 5*f - 25 = 0. Let a(q) be the second derivative of 0 + 1/3*q**3 + 0*q**2 + 1/12*q**4 - y*q. Suppose a(c) = 0. What is c?
-2, 0
What is c in -6/7*c + 2/7*c**2 - 108/7 = 0?
-6, 9
Let d(n) be the first derivative of 2*n**3/51 - 3*n**2/17 - 36*n/17 + 355. Solve d(c) = 0.
-3, 6
Let n = -5/462 + 4685/6006. Factor -2/13*v**3 + n*v + 6/13 + 2/13*v**2.
-2*(v - 3)*(v + 1)**2/13
Let o(a) = -25*a**2 + a. Let l be o(1). Let g be (-32)/l*5/((-70)/(-3)). Solve -2/7*c**2 + 2/7 + 2/7*c - g*c**3 = 0.
-1, 1
Find v, given that -45/2*v**3 - 3/2*v**5 - 6*v - 10*v**4 + 0 - 20*v**2 = 0.
-3, -2, -1, -2/3, 0
Let k(x) = -9*x**3 + 6*x**2 + 30*x + 54. Let s(g) = -19*g**3 + 13*g**2 + 59*g + 109. Let c(u) = -13*k(u) + 6*s(u). Solve c(a) = 0 for a.
-2, 4
Let r = 3 + 0. Suppose -8 = -r*m + m. Factor 5*j**4 + 0*j**5 - 8*j**5 - 3*j**m.
-2*j**4*(4*j - 1)
Let x(l) = -5*l**4 + 9*l**3 - 12*l**2 + 5*l + 3. Let a(z) = 11*z**4 - 19*z**3 + 26*z**2 - 11*z - 7. Let g(c) = 3*a(c) + 7*x(c). Factor g(o).
-2*o*(o - 1)**3
Suppose 2/5*z**2 + 0 + 0*z = 0. What is z?
0
Solve -10/7*j**2 - 4/7*j**5 + 4/7 + 6/7*j**4 + 10/7*j**3 - 6/7*j = 0.
-1, 1/2, 1, 2
Let v(m) = -m**2 - 8*m + 9. Let y = -92 + 83. Let a be v(y). Factor a - 2/3*f + 7/3*f**2.
f*(7*f - 2)/3
Let s(j) be the first derivative of -j**5/5 + 2*j**4 + 5*j**3 - 27*j**2 - 553. Factor s(q).
-q*(q - 9)*(q - 2)*(q + 3)
Factor 0 - 80/3*c**2 + 85/3*c - 5/3*c**3.
-5*c*(c - 1)*(c + 17)/3
Suppose -4*l - 6*f = -f - 41, l - 5*f - 29 = 0. Let x = l + -10. Let m(b) = -24*b**2 + 4*b + 4. Let z(u) = -u**2 + u - 1. Let d(h) = x*z(h) + m(h). Factor d(n).
-4*n*(7*n - 2)
Let g(b) = -1. Let x(j) = -52*j**2 - 112*j + 93. Let d(n) = -35*n**2 - 75*n + 62. Let l(q) = -7*d(q) + 5*x(q). Let f(z) = g(z) + l(z). Factor f(o).
-5*(o + 3)*(3*o - 2)
Let a be 24/(-66)*11/(-2). Let p(i) be the third derivative of 1/300*i**5 + 0 + 0*i - 1/40*i**4 + 1/15*i**3 - 4*i**a. Solve p(s) = 0 for s.
1, 2
Let c(x) be the first derivative of 3*x**4/20 - 4*x**3/5 - 3*x**2/2 - 276. Factor c(t).
3*t*(t - 5)*(t + 1)/5
Let n(g) be the second derivative of 2/21*g**4 - 1/7*g**3 + 0 + 0*g**2 + 7*g - 1/70*g**5. Factor n(b).
-2*b*(b - 3)*(b - 1)/7
Let j(h) be the third derivative of -h**5/360 + h**4/24 - 5*h**3/36 + h**2 + 92. Factor j(v).
-(v - 5)*(v - 1)/6
Let b(g) be the second derivative of -g**4/10 - 18*g**3/5 - 51*g**2/5 - 2*g + 5. Factor b(r).
-6*(r + 1)*(r + 17)/5
Let o(k) = 19*k - 34. Let h(f) = 2*f**2 - f - 2. Let i(m) = -2*h(m) + 2*o(m). Factor i(u).
-4*(u - 8)*(u - 2)
Let r(v) = -334*v + 672. Let u be r(2). Find c such that 3/4*c + 39/8*c**u - 15/8*c**5 - 3/8*c**2 - 27/8*c**3 + 0 = 0.
-2/5, 0, 1
Let o(c) = 35*c**2 + 147*c + 37. Suppose 4*i + y = -17, 1 + 11 = i - 3*y. Let l(a) = 35*a**2 + 146*a + 36. Let r(g) = i*l(g) + 4*o(g). Solve r(k) = 0 for k.
-4, -2/7
Let o(y) be the second derivative of -y**4/132 + 8*y**3/33 + 17*y**2/22 + 141*y. Factor o(a).
-(a - 17)*(a + 1)/11
Let q(n) be the first derivative of 3*n**4/4 - 2*n**3 - 9*n**2/2 - 245. Factor q(u).
3*u*(u - 3)*(u + 1)
Let q be (-13)/(39/62)*6/(-8). Let v = -14 + q. Factor 1 + 1/2*i**2 - v*i.
(i - 2)*(i - 1)/2
Let n(k) be the second derivative of -k**5/5 + 11*k**4/3 - 38*k**3/3 + 18*k**2 + 3*k. Determine v, given that n(v) = 0.
1, 9
Let a = -49 + 59. Solve -9 + a + 0*q**2 - 3*q + 3*q**3 + 8 - 9*q**2 = 0 for q.
-1, 1, 3
Let l(s) = -s - 1. Let h be l(-9). Suppose -5*d + h = -22. Factor -9*i**2 + d*i**2 - 2 + 5*i**2.
2*(i - 1)*(i + 1)
Let p(s) be the third derivative of 0*s - 3/100*s**5 - 1/40*s**4 + 1/200*s**6 + 12*s**2 + 1/5*s**3 + 1/350*s**7 + 0. Find g such that p(g) = 0.
-2, -1, 1
Let o = -611 - -612. Factor -1/4*v**3 + 5/4*v**2 - 2*v + o.
-(v - 2)**2*(v - 1)/4
Let k(p) = -66*p**2 + 172*p - 55. Let f(v) = -64*v**2 + 172*v - 54. Let x(c) = 7*f(c) - 6*k(c). Factor x(h).
-4*(h - 3)*(13*h - 4)
Let z(q) be the second derivative of q**7/126 - q**5/10 + 2*q**4/9 - q**3/6 + 8*q + 6. Factor z(f).
f*(f - 1)**3*(f + 3)/3
Let y(u) be the first derivative of 2*u**6/3 + 24*u**5/5 + 11*u**4 + 8*u**3/3 - 24*u**2 - 32*u - 34. Factor y(a).
4*(a - 1)*(a + 1)*(a + 2)**3
Let y(a) = -a**3 - 2*a**2 - 6*a + 1. Let w be y(0). Let n(q) be the first derivative of q**2 - 8/15*q**3 - 2/5*q - w. Determine h, given that n(h) = 0.
1/4, 1
Suppose 8 = -20941*w + 20943*w. Let h be 81/48*8/6. Find v, given that 3/2*v**4 - h*v - 7/2*v**3 + w*v**2 + 1/2 - 1/4*v**5 = 0.
1, 2
Factor 0 - 1/3*b**3 - 5/3*b - 2*b**2.
-b*(b + 1)*(b + 5)/3
Let x(m) be the first derivative of 4*m**5/5 - 5*m**4 + 4*m**3 + 10*m**2 - 16*m - 17. Factor x(s).
4*(s - 4)*(s - 1)**2*(s + 1)
Let q(u) be the second derivative of -u**4/4 - 35*u**3 - 3675*u**2/2 + 121*u. Suppose q(t) = 0. Calculate t.
-35
Suppose 0 = 2*x - 6. Solve 2*j + 236 - 4*j**2 - 2*j**x - 115 - 117 = 0.
-2, -1, 1
Let 108*c**2 + 22*c**2 - 16 + 7 + 5*c**3 + 9 = 0. Calculate c.
-26, 0
Let s(g) = -g**3 + 10*g + 3. Let m(d) = -8*d - 4. Let t(x) = -3*m(x) - 4*s(x). Suppose t(l) = 0. What is l?
-2, 0, 2
Let k(f) be the third derivative of f**7/126 + f**6/90 - f**5/45 + 5*f**3/2 + 6*f**2. Let q(o) be the first derivative of k(o). Factor q(g).
4*g*(g + 1)*(5*g - 2)/3
Factor 26/3 - 8*v - 2/3*v**2.
-2*(v - 1)*(v + 13)/3
Let r(v) be the first derivative of -v**7/168 - v**6/18 - 5*v**5/24 - 5*v**4/12 - 2*v**3 - 12. Let k(x) be the third derivative of r(x). Factor k(s).
-5*(s + 1)**2*(s + 2)
Suppose 0 = 2*o + 2*o + 2*n - 404, 507 = 5*o + 3*n. Factor 2 - o*c**3 + 98*c**3 - 2 - c**2.
-c**2*(c + 1)
Let u(m) be the second derivative of -m**6/150 - m**5/50 + 8*m - 4. Let u(c) = 0. What is c?
-2, 0
Let q(l) = 291*l - 8. Let p be q(1). Determine o so that 5*o**4 - 23*o**3 + 405 + 32*o**3 - p*o + 51*o**3 + 823*o + 270*o**2 = 0.
-3
Factor 27/5*n + 6/5 + 21/5*n**2.
3*(n + 1)*(7*n + 2)/5
Solve -222*g**2 - 9351*g + 9505*g - 24*g**3 + 6*g**3 - 26 = 0 for g.
-13, 1/3
Let j(f) be the first derivative of -f**8/2240 - f**7/1120 + f**6/240 - 6*f**3 - 9. Let x(s) be the third derivative of j(s). Let x(m) = 0. What is m?
-2, 0, 1
Suppose 6*l - 11841 + 11817 = 0. Find y, given that 12 - 20/3*y**2 - l*y - 4/3*y**3 = 0.
-3, 1
Factor 2*b**2 - b**4 + 6*b**3 + 2*b - 16 - 26*b - 3*b**2 + 0*b**2.
-(b - 4)**2*(b + 1)**2
Suppose x - 15 = -4*x. Let w(n) be the second derivative of 3/2*n**2 + 1/4*n**x + 2*n + 9/160*n**5 + 0 - 5/16*n**4. Solve w(z) = 0.
-2/3, 2
Let p be ((-5)/(-2))/((-15)/(-60)). Suppose 5*k**5 - 19*k**2 + 5*k + 19*k**2 - p*k**3 = 0. What is k?
-1, 0, 1
Suppose 4*x - 5*i + 3 = 0, 10 = 5*i - 5. Let w(y) = -83 + y**3 + 45 + 39. Let d(q) = q**4 + 3*q**3 - 2*q**2 + 4. Let a(b) = x*w(b) - d(b). Factor a(u).
-(u - 1)**2*(u + 1)**2
Let q(u) = u**3 + 3*u**2 - 8*u + 12. Let f be q(-5). Factor -16*y - 425 - 4*y**f + 419 - 6*y**2.
-2*(y + 1)*(5*y + 3)
Let t(h) be the second derivative of h**6/75 + h**5/10 - h**4/15 - 8*h**3/5 + 6*h - 6. Determine o so that t(o) = 0.
-4, -3, 0, 2
Let k(n) be the first derivative of -2/3*n**6 + 3*n**4 + 0*n + 0*n**2 - 7 + 0*n**5 + 8/3*n**3. Determine a so that k(a) = 0.
-1, 0, 2
Suppose -2/7*x**2 - 20/7 + 2*x = 0. What is x?
2, 5
Factor -101*z**2 + 26*z**4 - 68*z**3 - 48*z - 8*z**4 - 19*z**2 - 17*z**4 + 32 - 13*z**4.
-4*(z + 2)**3*(3*z - 1)
Let x = 281/91 - 42/13. Let w = 3/77 - x. Suppose 2/11*f**3 + 2/11*f**2 - 2/11*f - w = 0. What is f?
-1, 1
Suppose 1/2*h + 3 - 1/2*h**2 = 0. What is h?
-2, 3
Let x(f) be the 