1, 11
Suppose 15*x - 80 = -20. Let d(p) be the third derivative of 0 + 2/105*p**7 + 0*p**4 + 0*p**5 + x*p**2 - 1/336*p**8 + 0*p**3 + 0*p - 1/30*p**6. Factor d(l).
-l**3*(l - 2)**2
Suppose -3*p = -8*p + 20, 0 = 2*g + 3*p - 16. Let d be g/5 - 21/(-60). Solve 3/2*f - 3/4 - d*f**2 = 0 for f.
1
Let j = -2 + -5. Let c(r) = -23*r**2 - 47*r - 7. Let z(s) = -s**2 + 13*s**2 + 23*s**2 + 11 + 70*s - s**2. Let k(x) = j*c(x) - 5*z(x). Factor k(g).
-3*(g + 2)*(3*g + 1)
Let g(l) = 15*l**3 + 490*l**2 - 965*l + 715. Let v(d) = -d**3 - 35*d**2 + 69*d - 51. Let n be (-6)/(3 + -8 + 4). Let c(r) = n*g(r) + 85*v(r). Factor c(z).
5*(z - 3)**2*(z - 1)
Let b be (16/24)/((-16)/(-3)). Let y(j) be the second derivative of 0*j**3 - b*j**2 + 0 + 1/48*j**4 + 2*j. Factor y(u).
(u - 1)*(u + 1)/4
Suppose y = -4*y + 20. Suppose -n - 40 = -4*n - y*q, n - 3*q = 9. Determine u, given that -1 + 18*u**2 + 6*u**5 - 3*u - n*u**3 - 5 + 6*u + 3*u**5 - 12*u**4 = 0.
-1, -2/3, 1
Let v(a) be the first derivative of 4*a**5/35 + 4*a**4/7 - 36*a**3/7 + 76*a**2/7 - 64*a/7 + 147. Factor v(x).
4*(x - 2)*(x - 1)**2*(x + 8)/7
Let k = -937 + 937. Let b(s) be the second derivative of 0*s**3 + 1/5*s**5 + 0 + 4*s + k*s**2 + 1/3*s**4. Factor b(u).
4*u**2*(u + 1)
Let 8/3*s + 8/3 - 2/3*s**3 - 2/3*s**2 = 0. Calculate s.
-2, -1, 2
Let j be 132/(-1155)*60/(-24). Solve -j*w**3 - 6/7*w**2 + 6/7 + 2/7*w = 0.
-3, -1, 1
Let z(j) be the second derivative of 5*j**7/42 - j**6/2 - 15*j**5/4 - 85*j**4/12 - 5*j**3 - 3*j + 40. Factor z(s).
5*s*(s - 6)*(s + 1)**3
Let k(w) be the third derivative of -3*w**7/35 + w**6/15 - w**5/60 + 8*w**3/3 - 8*w**2. Let q(i) be the first derivative of k(i). Factor q(m).
-2*m*(6*m - 1)**2
Factor 2/7*o**3 + 22/7*o**2 + 0 - 24/7*o.
2*o*(o - 1)*(o + 12)/7
Suppose -30*h = -3*h + 31*h + 5*h. Determine g, given that h + 0*g**3 + 0*g + 0*g**2 + 2/5*g**4 = 0.
0
Let r be 21 - 17 - 15/4. Let s(b) be the second derivative of 0 - b**3 + 0*b**2 - r*b**4 + 2*b. Factor s(y).
-3*y*(y + 2)
Let x(g) be the first derivative of -g**9/1728 + 3*g**8/2240 - g**7/1680 + 13*g**3/3 + 31. Let d(y) be the third derivative of x(y). What is h in d(h) = 0?
0, 2/7, 1
Factor 12/13*k**2 + 0*k + 0 - 2/13*k**3.
-2*k**2*(k - 6)/13
Let i(z) = 15 + z**2 - 6 + z**3 - 8. Let g(u) = 3*u**5 + 3*u**4 - 12*u**3 - 12*u**2 - 9. Let l(f) = g(f) + 9*i(f). Factor l(q).
3*q**2*(q - 1)*(q + 1)**2
Let l = 15 - 14. Factor 5*p - 9 - l - 51*p**2 + 56*p**2.
5*(p - 1)*(p + 2)
Let d be 63/7 + -15 + 8. Solve 8/7*v + 16/7*v**d + 10/7*v**3 + 0 + 2/7*v**4 = 0.
-2, -1, 0
Let y(f) be the third derivative of -f**8/784 + 12*f**7/245 + 3*f**6/280 - f**5/2 - 6*f**4/7 + 99*f**2 - 1. Suppose y(l) = 0. Calculate l.
-1, 0, 2, 24
Suppose -4*t = -3*n - 15, 42*t + 4*n + 20 = 39*t. Solve 1/3*a**3 + 0*a - 2/3*a**2 + t = 0.
0, 2
Factor 84 - 9*w**2 + 0*w**2 + 22*w + w**2 + 6*w**2.
-2*(w - 14)*(w + 3)
Let i(p) be the first derivative of -p**5/15 + p**4/4 - 2*p**2/3 + 176. Solve i(n) = 0 for n.
-1, 0, 2
Let k(i) be the first derivative of -33*i**4/4 - 119*i**3 + 33*i**2 - 87. Solve k(o) = 0 for o.
-11, 0, 2/11
Suppose 4 = 6*l + 4. Suppose l = 5*v + 10, 4*c - 2 = 2*v - v. Factor 0 + c*g + 0*g**2 + 3/5*g**3.
3*g**3/5
Let n = -43 + 45. Factor -9*a**2 - 9*a**2 + 15*a**2 - n*a**4 + 6*a**3 - 3*a**2 + 2*a.
-2*a*(a - 1)**3
Suppose -128 = 32*v - 36*v. Find m, given that -36*m**3 - 1728*m - 144*m**2 - 1507 + v*m**3 - 5405 = 0.
-12
Let c(u) be the third derivative of 17*u**2 + 1/60*u**6 + 0 - 1/105*u**7 + 0*u**3 - 1/12*u**4 + 1/30*u**5 + 0*u. Factor c(o).
-2*o*(o - 1)**2*(o + 1)
Let r(c) be the third derivative of -c**8/42 + c**7/7 - c**6/3 + c**5/3 - c**3/3 + 94*c**2 + 2. Factor r(m).
-2*(m - 1)**4*(4*m + 1)
Suppose -21*i = -67*i. Let w(h) be the second derivative of -2*h**3 + 0*h**2 + 3/20*h**5 + i - 5*h + 0*h**4. Determine v so that w(v) = 0.
-2, 0, 2
Let w(q) be the third derivative of 0*q - 1/90*q**5 + 0 + q**2 + 1/360*q**6 + 0*q**3 + 0*q**4. Factor w(k).
k**2*(k - 2)/3
Let o(m) be the third derivative of m**6/240 - m**5/24 - 17*m**4/48 + 7*m**3/4 + 351*m**2. Solve o(g) = 0 for g.
-3, 1, 7
Let g be 54/4*18/27. Suppose 4*y - 2 = -3*i - 5, 5*i - g = -2*y. Find w such that 0*w**3 - w**2 - 3*w**4 + w**i - 4*w**3 + 0*w**3 - w**5 = 0.
-1, 0
Suppose x + 3*k + 1 = 0, 0*k + 8 = 3*x - 2*k. What is l in 7*l**3 - 2*l + 4*l**2 - x*l**2 - 2 - 5*l**3 = 0?
-1, 1
Let d(i) be the second derivative of -1/150*i**6 + 2/15*i**3 + 0*i**2 - 2/15*i**4 - 25*i + 0 + 1/20*i**5. Let d(q) = 0. What is q?
0, 1, 2
Suppose -5 = -2*u - 7. Let x(l) = -2*l**4 - 4*l**3 + 12*l**2 + 8*l - 18. Let a(b) = -b**3 - 1. Let y(z) = u*x(z) + 2*a(z). Factor y(d).
2*(d - 2)*(d - 1)*(d + 2)**2
Factor 7*l**2 - l**3 + 135 + 5*l + 161 - 371.
-(l - 5)**2*(l + 3)
Find g, given that -7*g**3 + 22*g**5 + 4*g**4 + 9*g**3 - 23*g**5 - 48*g + 11*g**3 - 40*g**2 = 0.
-3, -1, 0, 4
Find h such that -2*h**2 + 4*h**2 - 4*h**2 + 10*h**4 - 16*h + 2*h**5 + 0*h**5 - 8 + 14*h**3 = 0.
-2, -1, 1
Let m(q) = -q**5 - 20*q**4 + 21*q**3 + 2*q. Let s(w) = 9*w**5 + 201*w**4 - 210*w**3 - 21*w. Let d(n) = 21*m(n) + 2*s(n). Factor d(x).
-3*x**3*(x - 1)*(x + 7)
Let a(b) be the first derivative of 4 - 1/7*b**4 - 4/7*b**3 + 10/7*b**2 + 4/35*b**5 - 8/7*b. Let a(v) = 0. What is v?
-2, 1
Let i(k) be the first derivative of -4*k**5/5 + 4*k**4 + 24*k**3 + 40*k**2 + 28*k + 114. Factor i(g).
-4*(g - 7)*(g + 1)**3
Let v(o) be the third derivative of 0 - 1/18*o**4 - 28*o**2 + 0*o - 1/90*o**5 + 0*o**3. Factor v(r).
-2*r*(r + 2)/3
Let v = 13 + -9. What is p in 6*p**4 - 48*p**2 + 20*p**3 - 20*p**5 + 43*p**2 - v*p**4 + 3*p**4 = 0?
-1, 0, 1/4, 1
Suppose 2*m + 3*r = 0, -7*m + 2*m + 25 = -5*r. Factor m*x + 17 + x + x**2 - 14.
(x + 1)*(x + 3)
Let l(f) be the first derivative of f**5/20 + f**4/4 + f**3/2 - f**2 + 15. Let g(a) be the second derivative of l(a). Let g(q) = 0. Calculate q.
-1
Suppose 38*t = -94 + 322. Let a(i) be the third derivative of 0 - 13/90*i**5 - 1/3*i**4 - 1/315*i**7 - 1/30*i**t - 4/9*i**3 + 0*i - 2*i**2. Factor a(y).
-2*(y + 1)**2*(y + 2)**2/3
Let o(c) be the third derivative of -c**5/480 - 97*c**4/192 + 33*c**3/8 + 507*c**2. Factor o(z).
-(z - 2)*(z + 99)/8
Factor 1/7*c**4 + 0 - 47/7*c**3 + 576/7*c + 528/7*c**2.
c*(c - 24)**2*(c + 1)/7
Suppose -32*s + 13*s + 64 = -3*s. Determine g so that -1/2*g**5 - g**2 + g - 1/4 + 5/4*g**s - 1/2*g**3 = 0.
-1, 1/2, 1
Solve -200/3*b**3 + 0 - 250/9*b**2 - 160/3*b**4 + 0*b - 128/9*b**5 = 0.
-5/4, 0
Let z(v) be the second derivative of v + 4/27*v**3 + 0 + 1/30*v**5 + 4/3*v**2 - 19/54*v**4. Factor z(s).
2*(s - 6)*(s - 1)*(3*s + 2)/9
Let t(x) be the first derivative of -5*x**3/3 - 65*x**2/2 + 17. Factor t(g).
-5*g*(g + 13)
Suppose 464*z = 454*z + 30. Find m, given that -6*m + z*m**4 - 9/2*m**3 + 3/2*m**5 + 0 - 12*m**2 = 0.
-2, -1, 0, 2
Let i(m) be the first derivative of -m**4/48 + m**3/8 + m**2/2 - 2*m - 2. Let k(r) be the first derivative of i(r). Factor k(l).
-(l - 4)*(l + 1)/4
Let l = 4 + -5. Let i be (24/60)/(l/(-70)). Factor 4 - 27*s + 51*s**2 - i*s**3 - s**2 + s.
-2*(s - 1)*(2*s - 1)*(7*s - 2)
Let y be 2/(-7)*(-2)/(-40)*-28. Solve -2/5*d**3 + y*d - 2/5*d**2 + 2/5*d**4 + 0 = 0 for d.
-1, 0, 1
Let o(g) be the second derivative of -g**8/504 - g**7/189 + g**6/270 + 5*g**2/2 + 13*g. Let c(y) be the first derivative of o(y). What is l in c(l) = 0?
-2, 0, 1/3
Let l(t) be the second derivative of -4/3*t**3 + 0*t**2 - 1/6*t**4 + 3*t + 0. Suppose l(f) = 0. What is f?
-4, 0
Suppose 22/3 - 50/3*i + 26/3*i**3 - 16/3*i**4 + 6*i**2 = 0. Calculate i.
-11/8, 1
Let r be (8/10)/((-4)/(-50)). Let n = r - 10. Factor 3*v**2 - 4*v**2 - 2 + n*v**2 + 3*v**2.
2*(v - 1)*(v + 1)
Factor -144*y + 3/2*y**3 - 150 - 63/2*y**2.
3*(y - 25)*(y + 2)**2/2
Determine f, given that -32*f**3 - f**5 + 88*f**3 - 33*f**3 - 56*f**3 - 20*f + 44*f**2 + 10*f**4 = 0.
0, 1, 2, 5
Let k(d) be the first derivative of d**4/16 + d**3/6 + d**2/8 - 176. Factor k(r).
r*(r + 1)**2/4
Let x(d) = 33*d**2 + 6*d - 210. Let m(p) = -89*p**2 - 19*p + 630. Let h(n) = 3*m(n) + 8*x(n). Solve h(z) = 0 for z.
-10, 7
Find b such that 11979000 + 48454/3*b**4 + 98/3*b**5 - 83635200*b + 145219470*b**2 + 7976438/3*b**3 = 0.
-165, 2/7
Factor 440/3*g + 41/3*g**2 + 400/3 + 1/3*g**3.
(g + 1)*(g + 20)**2/3
Let o be (-4)/(-14) - 1749/(-5565). Factor o*l**2 + 4/5*l - 4/5 - 1/5*l**4 - 2/5*l**3.
-(l -