*2 + 2/3*v**3.
-2*v**2*(v - 6)*(v + 3)/9
Suppose -494*i + 506*i = 0. Let t(h) be the third derivative of 8*h**3 + 13*h**2 + 0*h + 1/20*h**5 - h**4 + i. Factor t(z).
3*(z - 4)**2
Let n = -658 + 668. Let g(h) be the first derivative of n*h**2 + 16*h + 1 + 4/3*h**3. Factor g(i).
4*(i + 1)*(i + 4)
Suppose -3/7 - 3/7*s**2 + 6/7*s = 0. Calculate s.
1
Let q(i) be the first derivative of -i**6/60 + i**5/6 - 7*i**4/12 + i**3 - 23*i**2/2 + 44. Let c(j) be the second derivative of q(j). Factor c(x).
-2*(x - 3)*(x - 1)**2
Let a = -30 + 11. Let o = a + 22. Determine c, given that -8*c**4 + 5*c**5 + 5*c**2 + o*c**4 + 4 - 4 - 5*c**3 = 0.
-1, 0, 1
Let j = -2/19595 - -4087519/19595. Let m = j + -208. Solve -4/5 - m*q + 1/5*q**2 = 0 for q.
-1, 4
Let a(o) be the third derivative of -o**5/120 - o**4/12 + 77*o**3/12 - o**2 + 3*o. Factor a(r).
-(r - 7)*(r + 11)/2
Let v(t) be the third derivative of -t**8/12 - 788*t**7/105 + 287*t**6/30 + 38*t**5/5 + 6*t**2 - 11*t. Solve v(g) = 0.
-57, -2/7, 0, 1
Let k be ((-386)/6)/((-7)/21). Let j = k - 193. Find u, given that -2/7*u**3 + 6/7*u**5 - 10/7*u**4 + 10/7*u**2 - 4/7*u + j = 0.
-1, 0, 2/3, 1
Factor 0 + 3/4*p**5 + 0*p - 15/4*p**4 + 0*p**2 + 9/2*p**3.
3*p**3*(p - 3)*(p - 2)/4
Factor -39/2*w + 3/2*w**2 + 18.
3*(w - 12)*(w - 1)/2
Let y(o) be the third derivative of 6 + 3*o**2 + 0*o**3 - 4/105*o**7 + 0*o - 1/6*o**6 - 1/15*o**5 + 1/3*o**4. Suppose y(u) = 0. What is u?
-2, -1, 0, 1/2
Let o(v) be the first derivative of -205*v**6/3 + 226*v**5/5 + 293*v**4/2 - 218*v**3/3 - 88*v**2 - 8*v + 229. Find a, given that o(a) = 0.
-1, -2/5, -2/41, 1
Factor 64*u**3 + 3*u**4 - 3*u**2 - 21*u**4 - 112957*u - 109*u**2 - 32 + 113053*u + 2*u**5.
2*(u - 2)**4*(u - 1)
Let o(s) be the first derivative of -s**6/8 - 12*s**5/5 - 219*s**4/16 - 9*s**3/2 + 243*s**2/2 - 162*s + 7. Solve o(g) = 0 for g.
-6, 1
Let -3*r**2 - 12/5 - 3/5*r**3 - 24/5*r = 0. What is r?
-2, -1
Factor -3/4*y**3 - 165/4*y**2 - 171/4 + 339/4*y.
-3*(y - 1)**2*(y + 57)/4
Let w = -900 - -6301/7. What is t in w*t + 2/7 - 3/7*t**2 = 0?
-2/3, 1
Suppose -3*q - 2*q - g = -24, -5*q = -4*g - 4. Factor -3/2*a**2 - 1/2*a**q + 2*a**3 + 0*a + 0.
-a**2*(a - 3)*(a - 1)/2
Let n = 27 - 42. Let j be ((-14)/35)/(9/n). Determine s, given that -4*s - j*s**2 - 6 = 0.
-3
Let r(k) be the first derivative of -3/2*k**2 + 0*k - 3/4*k**3 - 12 + 3/16*k**4. Solve r(w) = 0.
-1, 0, 4
Let y(p) be the first derivative of p**3/15 + 28*p**2/5 + 784*p/5 - 21. Factor y(h).
(h + 28)**2/5
Let k = 1086 - 1086. Let m(n) be the third derivative of -1/570*n**5 + 0*n + 1/114*n**4 - 1/57*n**3 + k - 8*n**2. Factor m(o).
-2*(o - 1)**2/19
Let m be (-2)/((18/3420)/(2/(-8))). Let r = m - 91. Factor 4/3*c**3 + 0*c**2 + 0*c - 2*c**r + 0 + 2/3*c**5.
2*c**3*(c - 2)*(c - 1)/3
Let h(j) = 13*j**3 - 13*j**2 - 8*j + 3. Let t(z) = -19*z**3 + 19*z**2 + 12*z - 5. Let d(a) = -7*h(a) - 5*t(a). Factor d(b).
4*(b - 1)**2*(b + 1)
Let f be (-10)/15 - (-4)/6. Suppose f = 4*q - 9*q + 10. Find w such that w**3 + 0*w**q - w**2 + 3*w**2 - w**5 - 2*w**4 = 0.
-2, -1, 0, 1
Let w(v) = 500*v**3 + 1900*v**2 - 388*v + 27. Let x(f) = -500*f**3 - 1900*f**2 + 389*f - 26. Let g(d) = -6*w(d) - 7*x(d). What is r in g(r) = 0?
-4, 1/10
Let n = 9/16 - 5/16. Let z = -14 + 15. Factor n*l**2 - l + z.
(l - 2)**2/4
Suppose 6 + 14 + 11*j**2 + 12*j**2 - 14*j - 21*j**2 + 0 = 0. Calculate j.
2, 5
Let x(g) be the third derivative of -g**8/12960 - g**7/1260 + g**6/360 + 8*g**5/15 - 35*g**2. Let c(y) be the third derivative of x(y). Solve c(t) = 0 for t.
-3, 3/7
Let j = 1005/806 + -1/62. Find h, given that -j*h + 112/13*h**4 + 114/13*h**2 + 284/13*h**3 - 8/13 = 0.
-2, -1/2, -2/7, 1/4
Let x(d) be the third derivative of -d**6/1020 - d**5/170 + 4*d**3/51 - d**2 - 56. Factor x(w).
-2*(w - 1)*(w + 2)**2/17
Factor 2/5*y**4 + 2*y + 22/5*y**3 - 20 + 66/5*y**2.
2*(y - 1)*(y + 2)*(y + 5)**2/5
Let b(t) be the third derivative of -t**7/300 + 2*t**6/225 - t**5/300 + 13*t**3/3 - 16*t**2. Let l(n) be the first derivative of b(n). Factor l(a).
-2*a*(a - 1)*(7*a - 1)/5
Let q(s) be the first derivative of -2*s**5/55 + 3*s**4/22 + 6*s**3/11 + 5*s**2/11 - 130. Factor q(k).
-2*k*(k - 5)*(k + 1)**2/11
Factor -3/4*b**4 + 105/4*b**3 - 216*b**2 + 0 - 243*b.
-3*b*(b - 18)**2*(b + 1)/4
Solve -11*w**2 + 12 + 0*w**2 + 9*w**2 - 9*w - w**2 = 0 for w.
-4, 1
What is o in 12/5*o**2 + 8/5*o + 12/5*o**5 - 36/5*o**3 + 4/5*o**4 + 0 = 0?
-2, -1/3, 0, 1
Suppose j + 14 = 5*h, -2*h - 3*j - 2 = -11. Determine c so that 3*c**4 - c**5 + h + 2*c**5 + 20*c - 2*c**3 - 19*c - 9*c**2 + 3*c**2 = 0.
-3, -1, 1
Let l(b) = -32*b**2 - 566*b - 1140. Let m(y) = -11*y**2 - 188*y - 380. Let x(t) = 6*l(t) - 17*m(t). Factor x(i).
-5*(i + 2)*(i + 38)
Let h(l) be the second derivative of -12*l**5/35 + 2*l**4/7 + 39*l**3/14 + 27*l**2/7 + 70*l. Factor h(r).
-3*(r - 2)*(4*r + 3)**2/7
Let b(a) be the second derivative of a**5/70 + a**4/21 - 5*a**3/21 - 6*a**2/7 - 39*a + 1. Factor b(w).
2*(w - 2)*(w + 1)*(w + 3)/7
Let -1/6*c**4 - 4/3*c**3 - 1/6*c**2 + 7*c + 0 = 0. What is c?
-7, -3, 0, 2
Suppose 3*h + 3*h = 0. Let x(w) = -w + 1 + 0*w + 0 + h*w. Let p(b) = -2*b**2 - 3*b + 5. Let r(d) = p(d) - 5*x(d). Solve r(j) = 0.
0, 1
Let i = 19 - 15. Factor -2*q**i + 441 - 441 + 6*q**3 - 5*q**5 + 4*q + 10*q**2 + 3*q**5.
-2*q*(q - 2)*(q + 1)**3
Let s = 535 - 530. Let z(n) be the second derivative of 1/9*n**4 + 0 + 0*n**3 + 0*n**2 + 1/45*n**6 - 1/10*n**s - n. Let z(l) = 0. What is l?
0, 1, 2
Determine p, given that 5*p**3 + 5*p**3 - 43*p**2 + 35*p**2 + 0*p**4 - 2*p**4 = 0.
0, 1, 4
Solve -1/3*i**5 + 4/3*i**3 + 0*i + 0*i**2 - i**4 + 0 = 0.
-4, 0, 1
Let k(b) be the third derivative of b**5/450 + 23*b**4/45 + 2116*b**3/45 + 11*b**2 + 14*b. Factor k(i).
2*(i + 46)**2/15
Let a(k) be the first derivative of 21 + 23/12*k**2 + 7/18*k**3 + k. Let a(q) = 0. Calculate q.
-3, -2/7
Suppose -19 = 3*l - 1. Let s be ((-1 + 2)/l)/(14/(-42)). Determine g so that -g**3 + g + 0 - s*g**4 + 1/2*g**2 = 0.
-2, -1, 0, 1
Let o(c) be the third derivative of c**6/120 - 7*c**5/30 + 25*c**4/24 - 2*c**3 + 31*c**2. Determine p so that o(p) = 0.
1, 12
Suppose 0 + 9/2*n**3 - 21/4*n**4 + 3/2*n**5 + 3/4*n**2 - 3/2*n = 0. Calculate n.
-1/2, 0, 1, 2
Let w(a) be the third derivative of a**6/24 + 43*a**5/4 + 9245*a**4/8 + 397535*a**3/6 + 105*a**2. Factor w(d).
5*(d + 43)**3
Let y(f) be the second derivative of -9*f**5 + 125*f**4 - 485*f**3/6 + 20*f**2 + 21*f. Factor y(q).
-5*(q - 8)*(6*q - 1)**2
Suppose -36 + 13*k**2 - 16*k**2 + 33*k + 6*k**2 - 21*k = 0. Calculate k.
-6, 2
Factor -4/7*i + 0 - 1/7*i**2.
-i*(i + 4)/7
Let m(o) be the second derivative of 5*o**7/7 - 41*o**6/6 + 95*o**5/4 - 425*o**4/12 + 95*o**3/6 + 15*o**2 + 8*o + 4. Solve m(p) = 0.
-1/6, 1, 2, 3
Let g(p) be the first derivative of -4*p**4 + 76*p**3/3 - 38*p**2 - 24*p - 79. Solve g(k) = 0.
-1/4, 2, 3
Let v = -10112/13 - -778. Find m, given that 2/13*m**3 - v*m - 2/13*m**2 + 2/13 = 0.
-1, 1
Let z(k) = 2*k**2 + 21*k + 15. Let a be z(-10). Determine p, given that -13 + 26 - 2*p**3 - 13 + 2*p**a = 0.
-1, 0, 1
Let b(h) be the first derivative of -2*h**5/25 + 7*h**4/5 - 48*h**3/5 + 162*h**2/5 - 54*h - 55. Solve b(c) = 0 for c.
3, 5
Let z be (7/42)/(2/12). Let d(v) = 4*v**2 + 1. Let r be d(z). Suppose 8*s + s**2 + r*s**2 - 2*s**2 = 0. Calculate s.
-2, 0
Let t(r) be the first derivative of -r**4/8 - r**3/3 + 3*r**2/4 + 67. Factor t(m).
-m*(m - 1)*(m + 3)/2
Let r(v) be the first derivative of -9*v**5 - 51*v**4/4 + 238*v**3 - 402*v**2 - 120*v + 388. Find f, given that r(f) = 0.
-5, -2/15, 2
Let g be (3 + 4/(-1) - (-48)/40)*2. Factor 1/5*s - 2/5 - 1/5*s**3 + g*s**2.
-(s - 2)*(s - 1)*(s + 1)/5
Let h = 2257 - 2253. Let 10/9*c**h + 0 + 14/9*c**2 + 2/9*c**5 + 2*c**3 + 4/9*c = 0. Calculate c.
-2, -1, 0
Let t(d) be the third derivative of -d**6/30 - 4*d**5/15 + 35*d**4/6 + 100*d**3 + d**2 - 34. Solve t(n) = 0.
-5, 6
Let d(x) = 2*x. Let u be d(3). Suppose 3*j = -0*j + u. Determine k so that -3*k**5 + 9*k**3 + 2 + 6*k**j - 2 - 9*k + 3*k**3 - 6 = 0.
-1, 1, 2
Let z(x) be the third derivative of 0*x - 12/35*x**7 + 0*x**3 - 13/21*x**8 - 9/20*x**5 + 1/12*x**4 + 107/120*x**6 - 40*x**2 + 0. Determine w so that z(w) = 0.
-1, 0, 2/13, 1/4
Suppose f - 5 + 1 = 0. Suppose -2*q - o = -25, 0 = -3*q + 5*q - 4*o - 30. Factor 40*w**2 - w**2 + 38*w**3 - 9*w**2 - f + q*w**4 +