**4 - 13*i**3 = 0.
0, 1, 5
Suppose -296*r = -72*r - 4480. Factor r + 405/4*d**2 + 90*d.
5*(9*d + 4)**2/4
Let f(u) be the first derivative of -64*u**5 - 740*u**4 - 8845*u**3/3 - 4205*u**2 + 693. Let f(o) = 0. Calculate o.
-29/8, -2, 0
Suppose 21*t = 4*t + 34. Suppose 0*f = -t*f + 4. Find x such that 6*x - 3*x**4 - 5*x**5 - 3*x**5 + 3*x**f + 7*x**5 - 9*x**3 + 4*x**5 = 0.
-1, 0, 1, 2
Let q(n) = 1534*n + n**2 - 1533*n - n**3 + 2*n**3. Suppose 0 = -l - l + 8. Let r(f) = f**3 - 23*f**2 - 68*f - 60. Let w(j) = l*q(j) - r(j). Factor w(i).
3*(i + 2)**2*(i + 5)
Let p = 397 - 387. Let l be p/(-20)*(-9 + 2 - -1). Suppose 3/4*t**2 + 3/4*t**l - 3/4*t + 0 - 3/4*t**4 = 0. Calculate t.
-1, 0, 1
Let c(x) = -6*x**3 - 130*x**2 - 240*x - 80. Let k(l) = 6*l**3 + 130*l**2 + 249*l + 80. Let w(h) = -5*c(h) - 4*k(h). Factor w(m).
2*(m + 1)*(m + 20)*(3*m + 2)
Let r(x) be the second derivative of -x**6/120 + 327*x**5/40 - 35643*x**4/16 + x + 197. What is a in r(a) = 0?
0, 327
Let s be 16/4 - 0 - (0 + 5). Let r be (-6 + 8)*6/4 + s. Factor -1/2*l**4 + r*l**3 - 9/2 - 6*l + l**2.
-(l - 3)**2*(l + 1)**2/2
Suppose -33*n + 65 + 199 = 0. Let g be (2/n)/((-25)/(-80)). Solve -g + 3/5*p**2 - 1/5*p**3 + 0*p = 0.
-1, 2
Let s(c) be the third derivative of c**9/3024 - 11*c**8/6720 - c**7/1120 + 39*c**3/2 - 4*c**2 + 1. Let p(m) be the first derivative of s(m). Factor p(u).
u**3*(u - 3)*(4*u + 1)/4
Determine l so that l**2 + 6*l**2 - l**2 + 3*l**2 - 4*l**2 + 125*l = 0.
-25, 0
Let a(b) = 4*b**3 + b**2 + 4*b + 3. Let d(x) = x**3 - x**2 + 1. Let n be (-4)/2*(-19)/38. Let h(r) = n*a(r) - 3*d(r). Determine y so that h(y) = 0.
-2, 0
Suppose -361584 = 13*w - 16876. Let j be w/(-10) - 28/(-70). Solve -5*r**3 - j + 2652 - 180*r - 60*r**2 = 0 for r.
-6, 0
Let g(d) be the first derivative of d**4/8 - 10*d**3/3 + 107*d**2/4 - 44*d + 467. Let g(k) = 0. What is k?
1, 8, 11
Determine u so that -268 + 92*u - 300 - 32*u**2 + 184 + u**3 + 116*u = 0.
4, 24
Let w(c) be the first derivative of c**4/4 - 3*c**3 - 15*c**2 - 32*c + 23. Let n(o) = -o**3 - o**2 - o + 2. Let k(r) = -2*n(r) - w(r). Factor k(y).
(y + 2)**2*(y + 7)
Let r(m) = -2*m**2 + 53*m - 16. Let j be r(24). Find z, given that -60*z**3 - 49*z**2 - 77 - 65*z**2 - 36*z - 9*z**4 + j = 0.
-3, -1, 1/3
Let l(n) = -71*n**2 - 920*n - 813. Let x be l(-12). Determine f, given that -2/9*f**4 + 8/9*f**2 - 4/9*f**x - 2/3 + 4/9*f = 0.
-3, -1, 1
Let t(q) = q**3 + 4*q**2. Let o(k) = 4*k**3 + 12*k**2. Suppose -10*n - 22 = -2. Let h be (n - 0)/(4/(-20)). Let a(r) = h*t(r) - 3*o(r). Factor a(j).
-2*j**2*(j - 2)
Find a such that -15*a**4 - 2160*a + 1088 + 7*a**4 - 252*a**3 - 16*a**4 + 20*a**4 + 1328*a**2 = 0.
-68, 1, 2
Let o(x) = 8*x**4 - 213*x**3 + 205*x**2 - 5*x. Let n(k) = -4*k**4 + 106*k**3 - 102*k**2 + 2*k. Let t(h) = 5*n(h) + 2*o(h). Find z such that t(z) = 0.
0, 1, 25
Let f(j) = 18*j + 5. Let t be f(0). Factor -5*l - 38*l**3 - 40*l**2 - 15*l - 35*l**4 - 7*l**t - 25*l**2 + 2*l**5 - 37*l**3.
-5*l*(l + 1)**3*(l + 4)
Let b(t) be the first derivative of -2*t**5/25 - 38*t**4/5 - 236*t**3/15 + 50388*t**2/5 - 879138*t/5 - 4043. What is d in b(d) = 0?
-51, 13
Let b(l) be the first derivative of 3*l**4/4 + 3*l**3 + 3*l**2 + 712. Let b(i) = 0. Calculate i.
-2, -1, 0
Suppose -5*u = 15*q - 17*q + 6, q = 3. Let m(x) = -x**3 + x**2 + x. Let o be m(0). Suppose o*r - 4/3*r**2 + u - 14/3*r**3 = 0. Calculate r.
-2/7, 0
Suppose 0 = -5*n - 5*v - 5, 4*n - 23 = -0*n + 5*v. Suppose -4*t = -0*t - 4*y, n*y = -3*t + 20. Factor -10*o**4 + 74*o**t + o**4 + 10*o**3.
5*o**3*(13*o + 2)
Let a(i) = -57*i**2 + 8668*i - 8749. Let l(u) = -5*u**2 + 788*u - 795. Let v(j) = 10*a(j) - 115*l(j). Factor v(p).
5*(p - 787)*(p - 1)
Let h(k) be the third derivative of 44*k**2 + 32/33*k**3 + 1/330*k**5 + 0*k + 0 + 1/4*k**4. Factor h(x).
2*(x + 1)*(x + 32)/11
Let c(h) be the second derivative of -3*h**5/40 + 5*h**4/8 + 3*h**3/2 + 1187*h. Factor c(z).
-3*z*(z - 6)*(z + 1)/2
Suppose 39*d - 133*d + 10152 = 0. Suppose -53*y - d = -373. Determine l, given that -l**y + 11/4*l**3 + 13/4*l + 5/4*l**4 - 1/2 - 23/4*l**2 = 0.
-2, 1/4, 1
Let o(f) be the second derivative of -1/120*f**6 + 7*f - 1/48*f**4 + 0*f**2 - 1/4*f**3 + 0 + 1/20*f**5. Solve o(a) = 0.
-1, 0, 2, 3
Let o = 179 + -179. Let u(x) be the first derivative of 2/21*x**3 + 0*x**2 - 17 + o*x. Let u(c) = 0. What is c?
0
Suppose 202 = 59*t - 74 + 40. Factor -3/4*n**t - 33/4*n**3 - 18*n**2 + 0 + 27*n.
-3*n*(n - 1)*(n + 6)**2/4
Let s be 0*(5 - 6) - -4. Factor -32*l**2 + 185*l - 185*l - s*l**3.
-4*l**2*(l + 8)
Let h = -575 + 1440. Let r = h + -863. Determine t, given that 16/5*t**4 - 4/5*t**5 + 12/5*t - 16/5*t**r + 0 - 8/5*t**3 = 0.
-1, 0, 1, 3
Let x(b) be the third derivative of 1/510*b**5 + 0 + 1/17*b**3 + 0*b + 35*b**2 - 1/51*b**4. Factor x(q).
2*(q - 3)*(q - 1)/17
Let q(u) be the first derivative of -u**5/35 + 5*u**4/14 - 1391. Suppose q(p) = 0. Calculate p.
0, 10
Factor 0 + 1/3*n**2 - 1/3*n**4 + 2/3*n - 2/3*n**3.
-n*(n - 1)*(n + 1)*(n + 2)/3
Let u = 1412 - 1409. Factor 8/21*s + 6/7*s**u - 2/21*s**4 + 0 - 2/21*s**5 - 22/21*s**2.
-2*s*(s - 1)**3*(s + 4)/21
Suppose 0 = -5*v + 2*v + 96. Suppose -q + 17 = 4*w, -3*w + q = -3*q - 27. Solve d**2 + 17 - 38 - w*d**2 + v*d - 43 = 0 for d.
4
Let h be 2/(-3)*(-28)/(-308) - (-614328)/74052. Find x, given that -h*x**4 + 32*x**2 - 352/17*x + 50/17*x**5 - 112/17*x**3 + 64/17 = 0.
-2, 2/5, 2
Let a(g) be the second derivative of g**7/42 - 73*g**6/30 - 313*g**5/10 - 293*g**4/2 - 645*g**3/2 - 729*g**2/2 + 867*g - 4. Let a(l) = 0. What is l?
-3, -1, 81
Let g(c) = -4*c**3 - 512*c**2 + 2180*c - 2196. Let o(n) = 4*n**3 + 517*n**2 - 2179*n + 2195. Let w(k) = 3*g(k) + 4*o(k). Factor w(z).
4*(z - 2)**2*(z + 137)
Let b = -2089764/7 - -298538. Solve b*l**2 + 24/7 - 2*l = 0 for l.
3, 4
Solve -7578/7*t**2 + 2*t**3 - 2160/7 + 9724/7*t = 0.
2/7, 1, 540
Suppose 2*i - 3*m = -i + 15, -5*m = 3*i - 7. Determine j so that -20*j - 15*j**2 - i*j**3 + 14*j**3 + 10*j + 15*j**4 = 0.
-1, -2/3, 0, 1
Let n(y) be the first derivative of 4*y**3/3 + 356*y**2 + 2100*y + 413. Factor n(r).
4*(r + 3)*(r + 175)
Let v(o) = 5*o**3 + 312*o**2 + 304*o + 11165. Let d be v(-62). Suppose 14/3*x**4 + 0*x**2 - 1/3*x**d + 0 + 0*x - 49/3*x**3 = 0. Calculate x.
0, 7
Let z(a) be the second derivative of 2 + 1/120*a**6 - 58*a + 3/8*a**3 + 0*a**2 + 1/16*a**4 - 1/16*a**5. Suppose z(h) = 0. Calculate h.
-1, 0, 3
Let l be (15/315)/((44/(-33))/((-7)/3)). Let f(a) be the third derivative of -41*a**2 + 0*a + 0*a**3 - 5/24*a**4 + 0 - l*a**5. Factor f(g).
-5*g*(g + 1)
Let n(d) be the third derivative of d**6/12 - 25*d**5/12 + 5*d**4 + 165*d**3/2 + 5*d**2 - 37*d. What is c in n(c) = 0?
-3/2, 3, 11
Factor 836*x**3 - 2451 - 840*x**3 - 3021 + 1680*x - 104*x**2.
-4*(x - 6)**2*(x + 38)
Suppose 2*r - 185 = 7*r + 4*x, 0 = 4*r - 5*x + 148. Let b = r + 118/3. Determine h so that -5*h + 1/3*h**5 + 14/3*h**3 + 3 - b*h**4 - 2/3*h**2 = 0.
-1, 1, 3
Let k be (77/7 + -8)/(-7 + 18 - 2). Find y such that -3*y**2 + 11/3*y + 7 + k*y**3 = 0.
-1, 3, 7
Let c(z) be the third derivative of z**5/20 + 49*z**4 - 394*z**3 - 3457*z**2. Find x such that c(x) = 0.
-394, 2
Let b(d) = -d**3 - 4*d**2 - 5*d - 48. Let y be b(-5). Factor 15*l + 22*l**2 - 10*l**3 - 5 - 15*l**y - 8*l**2 - 5*l**2 + 15*l**4 - 4*l**2 - 5*l**5.
-5*(l - 1)**4*(l + 1)
Let x(l) be the first derivative of -7 + 0*l**2 + 1/80*l**5 + 1/720*l**6 + 1/24*l**4 - 13/3*l**3 + 0*l. Let f(a) be the third derivative of x(a). Factor f(p).
(p + 1)*(p + 2)/2
Let j(s) = -s**2 + s - 1. Let k = -64 - -63. Let b(h) = h - 2*h - 3*h**2 + 4*h + 1 - h. Let i(p) = k*j(p) - b(p). Factor i(x).
x*(4*x - 3)
Solve -29 - 114*b**2 - 2*b**3 + 231/2*b = 0.
-58, 1/2
Let v(s) = -s**3 - s**2 + s + 6. Let w be v(0). Let p be -1 + -5 - (0/(-1) + -8). Factor 8*h**3 + 3 + 4 - 3*h**4 - w*h - 4 - p*h**3.
-3*(h - 1)**3*(h + 1)
Suppose -5*x + 3*q - 4 = 0, -x = 2*x - q. Suppose j = u, 6*j - 4*j + 5*u - 28 = 0. What is p in -1 + 3*p**4 - 8*p**2 - p**j + x = 0?
-2, 0, 2
Let o(l) = 124*l + 9. Let q be o(5). Let v = 1414 - q. Determine h, given that 5*h**3 - 5*h**4 - 785 + v = 0.
0, 1
Let l be (-1 - 0) + (-60)/(-5). Factor -13*v**2 - 37*v - 8*v**2 - 14 - v**4 - l*v**3 - 12*v**2.
-(v + 1)**2*(v + 2)*(v + 7)
Determine l so that 0*l - 574/3*l**3 - 142*l**2 + 0 - 50*l**4 - 2/3*l**5 = 0.
-71, -3, -1,