
3*(s - 1)*(3*s + 8)/5
Suppose 194 = 5*l - 471. What is t in -3*t**5 - 65 - 6*t**2 + 9*t - 71 + l - 6*t**3 + 9*t**4 = 0?
-1, 1
Let o(t) be the third derivative of -t**6/120 + 7*t**5/4 - 1225*t**4/8 + 42875*t**3/6 - 2*t**2 - 32*t. Find g such that o(g) = 0.
35
Let o(y) be the first derivative of -2*y**3/15 - 6*y**2/5 + 32*y/5 - 68. Factor o(m).
-2*(m - 2)*(m + 8)/5
Suppose -8/5 - 726/5*o**2 + 1331/5*o**3 + 132/5*o = 0. Calculate o.
2/11
Suppose -5*y = -2*j - 21, -4*j = -4*y - 0*j + 12. Factor -24*k**3 + 69*k**4 - 3*k**y + 12*k**2 - 24*k**4 - 30*k**4.
-3*k**2*(k - 2)**2*(k - 1)
Suppose 11 = -3*x - 25. Let r = x + 13. Factor r + 6*b**2 - 3*b**2 - 4.
3*(b - 1)*(b + 1)
Let s(l) be the second derivative of -1/48*l**4 + 0 + 6*l + 1/6*l**3 - 3/8*l**2. Factor s(v).
-(v - 3)*(v - 1)/4
Let c(w) be the third derivative of -w**7/280 - 19*w**6/540 - 11*w**5/90 - w**4/9 + 19*w**3/6 + 9*w**2. Let o(x) be the first derivative of c(x). Factor o(n).
-(n + 2)**2*(9*n + 2)/3
Let y = 13/6 + -115/54. Let b(a) be the third derivative of y*a**3 + 0 + 0*a + 1/54*a**4 + 3*a**2 + 1/270*a**5. Factor b(o).
2*(o + 1)**2/9
Let z(q) be the second derivative of q**7/1680 + q**6/720 + 11*q**3/6 + 5*q. Let p(u) be the second derivative of z(u). Determine k so that p(k) = 0.
-1, 0
Let i(o) = 10*o**4 - 12*o**3 - o**2 + 3. Let u(b) = 8 + 6*b**3 - 20 + 2*b**2 + 6*b**3 - 10*b**4 + 8. Let d(j) = -4*i(j) - 3*u(j). Factor d(g).
-2*g**2*(g - 1)*(5*g - 1)
Let d = 911/15 - 151/3. Let c = d + -532/55. Suppose -2/11*n**2 - c - 8/11*n = 0. What is n?
-2
Suppose 97*a + 111*a - 510 = -47*a. Suppose 3/4 + 1/4*m**a - m = 0. Calculate m.
1, 3
Let j = -6542/3 + 2181. Solve j - 1/2*f + 1/6*f**2 = 0.
1, 2
Factor -46/5*l + 48/5*l**2 - 2/5*l**3 + 0.
-2*l*(l - 23)*(l - 1)/5
Find s, given that 90*s + 2/3*s**5 + 80*s**3 + 0 + 44/3*s**4 + 156*s**2 = 0.
-15, -3, -1, 0
Suppose -18*j + 23*j - 20 = 0. Factor -32*y**2 + 4*y**3 - 755*y**4 - 25*y**3 + 751*y**j + y**3 - 16*y.
-4*y*(y + 1)*(y + 2)**2
Let c(w) be the second derivative of w**6/30 + 7*w**5/20 - 19*w**4/12 - 7*w**3/6 + 9*w**2 - 462*w. What is u in c(u) = 0?
-9, -1, 1, 2
Factor -429/4*h - 3/4*h**3 - 363/4 - 69/4*h**2.
-3*(h + 1)*(h + 11)**2/4
Let d(q) = -90*q**2 - 79*q - 155. Let x(g) = 13*g**2 - 1. Let l(t) = 2*d(t) + 14*x(t). Let l(n) = 0. What is n?
-2, 81
Let n = -53 - -52. Let c(l) = 3*l**3 - 3*l**2 + 3*l + 3. Let s(d) = d**2 + d + 1. Let f(p) = n*c(p) + 3*s(p). What is g in f(g) = 0?
0, 2
Factor -4 + 71*y + 56*y - 121*y - 2*y**2.
-2*(y - 2)*(y - 1)
Let a(v) be the second derivative of -3/20*v**6 - 6*v + 1/28*v**7 + 3/20*v**5 + 0 + 3/4*v**2 - 3/4*v**3 + 1/4*v**4. What is f in a(f) = 0?
-1, 1
Let l(c) be the third derivative of -c**7/56 + c**6/60 - 7*c**3/6 - 14*c**2. Let a(q) be the first derivative of l(q). Factor a(n).
-3*n**2*(5*n - 2)
Let q be 110/70 + (-3)/(-7). Let r**2 - q*r**2 + 9*r**3 + 2*r**2 - 8*r**3 = 0. What is r?
-1, 0
Suppose 7*v - 32 = 4*v - 2*r, 0 = -3*v + 2*r + 40. Let t = -9 + v. Find u such that 3*u**2 - t + 5*u**3 - u**3 - 3*u - u**3 = 0.
-1, 1
Let i(p) be the third derivative of 5*p**8/84 - 46*p**7/105 + p**6/3 + 8*p**5/15 - 100*p**2. Let i(c) = 0. Calculate c.
-2/5, 0, 1, 4
Let g(u) be the third derivative of u**6/2880 + u**5/240 + u**4/48 - u**3/2 - 15*u**2. Let o(x) be the first derivative of g(x). Find a such that o(a) = 0.
-2
Let o(t) = t**2 - 39*t - 70. Let z(b) = -b**2 + 79*b + 140. Let s(q) = 11*o(q) + 6*z(q). Factor s(v).
5*(v + 2)*(v + 7)
Let q = -26 + 18. Let b = -5 - q. Determine p so that p**2 - 16 + b*p**2 - 15*p - 4*p + 7*p = 0.
-1, 4
Let z(b) be the third derivative of -25*b**2 - 5/276*b**4 + 0*b + 2/69*b**3 - 1/1380*b**6 + 2/345*b**5 + 0. Factor z(w).
-2*(w - 2)*(w - 1)**2/23
Let g(n) = -1034*n - 7238. Let s be g(-7). Factor -3/8*j**4 + 3/8*j**5 + 0*j**2 + s + 0*j - 3/4*j**3.
3*j**3*(j - 2)*(j + 1)/8
Let n(s) = 4*s**3 - 4*s**2 + 2*s - 2. Let w be (16/(-20))/((-2)/5). Let t(g) = g**4 + 11*g**3 - 11*g**2 + 6*g - 7. Let r(x) = w*t(x) - 7*n(x). Factor r(y).
2*y*(y - 1)**3
Factor 73*p**4 - 10 - 144*p**4 + 9*p**2 - 12*p + 6*p**2 - 7*p**2 + 73*p**4 + 12*p**3.
2*(p - 1)*(p + 1)**2*(p + 5)
Factor -225/4 - 25*t**2 + 5/4*t**4 + 5/2*t**3 - 165/2*t.
5*(t - 5)*(t + 1)*(t + 3)**2/4
Let x = -49 - -26. Let i = 23 + x. Find b such that 4*b**2 - 5 - 8*b + i - 2 - 5 = 0.
-1, 3
Factor -2/11*v**3 + 40/11*v**2 + 0 - 200/11*v.
-2*v*(v - 10)**2/11
Let j(y) be the first derivative of -27/2*y + 29 + 261/8*y**2 - 149/4*y**3 + 315/16*y**4 - 15/4*y**5. Find s such that j(s) = 0.
3/5, 1, 2
Let z = -204 - -204. Let p(x) be the first derivative of 4/3*x**3 + z*x + 6 + 4*x**2. Suppose p(q) = 0. What is q?
-2, 0
Solve -2*r**2 + 2/7 - 4/7*r**3 - 3/7*r + 12/7*r**4 + r**5 = 0 for r.
-1, 2/7, 1
Let j(x) be the second derivative of -x**5/30 + x**4/18 + x**3/9 - x**2/3 + 38*x - 2. Suppose j(a) = 0. What is a?
-1, 1
Let s(n) be the third derivative of -n**8/112 + 2*n**7/175 + n**6/200 - 125*n**2. Factor s(h).
-3*h**3*(h - 1)*(5*h + 1)/5
Let h = -19 - -24. Factor 7*j**4 - 2*j**4 - j**3 - h*j**2 + 0*j**5 - 5*j**5 + 6*j**3.
-5*j**2*(j - 1)**2*(j + 1)
Suppose -4*n - 8 = -3*u - 5*n, 0 = 2*u + n - 4. Let y(g) be the second derivative of 3*g**2 - 2*g + 0 + 4/3*g**3 + 1/6*g**u. Factor y(q).
2*(q + 1)*(q + 3)
Let n(l) be the second derivative of -3*l**5/80 + 5*l**4/8 - 33*l**3/8 + 27*l**2/2 + 2*l - 4. Suppose n(b) = 0. Calculate b.
3, 4
Let u = 21/152 + -1/76. Factor 1/4 + u*q**2 + 3/8*q.
(q + 1)*(q + 2)/8
Let z(d) be the second derivative of d**7/336 + d**6/80 - d**5/160 - d**4/32 - 31*d. Suppose z(y) = 0. What is y?
-3, -1, 0, 1
Suppose 3*l - 56 = -29. Let m be l/6*228/81. Solve -14/9*t**4 - 50/9*t**2 + m*t**3 + 2/9*t**5 - 8/9 + 32/9*t = 0.
1, 2
Let l = 9 - -1. Suppose 10*m**4 - l*m**2 + 7*m**5 - 6*m**3 + m + m**5 - m - 2*m = 0. What is m?
-1, -1/4, 0, 1
Let 2/3*f**4 - 4 + 14/3*f**3 + 10/3*f**2 - 14/3*f = 0. Calculate f.
-6, -1, 1
Let w(v) = -3*v**4 - v**3 - v + 1. Let k(h) = 5*h**4 - 69*h**3 - 1295*h**2 - 1223*h - 2. Let d(m) = 3*k(m) + 6*w(m). Factor d(s).
-3*s*(s + 1)*(s + 35)**2
Let d be 1169/(-334) - (2 + -8). Factor -d*b**2 - 5/2*b + 0 + 5/2*b**3 + 5/2*b**4.
5*b*(b - 1)*(b + 1)**2/2
Suppose -4*k = -0*d - 4*d - 8, 0 = -4*k - 3*d + 22. Let p(l) be the third derivative of 1/240*l**5 - 1/12*l**3 + 0 + 7*l**2 + 0*l + 1/96*l**k. Factor p(i).
(i - 1)*(i + 2)/4
Factor -2912*w + 419/3*w**2 - 588 - 5/3*w**3.
-(w - 42)**2*(5*w + 1)/3
Suppose z = -5*x - 68, -2*z + 63 - 210 = -x. Let w = -71 - z. Let 0*i + 1/2*i**w + i**3 + 1/2*i**4 + 0 = 0. Calculate i.
-1, 0
Let i be 3*1/((-9)/(-15)). Determine v so that 4*v**5 - 3*v + 4*v**2 + 2*v**i - 4*v**4 - 4*v**5 + v = 0.
-1, 0, 1
Factor 2 - 11*n**2 + 21*n**2 + n - 11*n**2.
-(n - 2)*(n + 1)
Let w(m) be the first derivative of 1/3*m**3 + 4/3*m - 7 + 4/3*m**2. Solve w(g) = 0 for g.
-2, -2/3
Let v = 28893 - 57785/2. Determine x, given that 0 - 1/2*x**3 + v*x**4 - x**2 + 0*x = 0.
-1, 0, 2
Let p = 361 - 358. Let o(s) be the second derivative of -3/2*s**2 + 7/2*s**p - 3/2*s**4 + 0 + 2*s. Solve o(d) = 0.
1/6, 1
Let m(p) be the first derivative of -7 + 1/5*p**4 - 2/15*p**3 + 1/30*p**6 + 4/25*p**5 - 1/2*p**2 - 2/5*p. Determine u, given that m(u) = 0.
-2, -1, 1
Factor 22*w**2 - 80/3*w + 32/3 - 20/3*w**3 + 2/3*w**4.
2*(w - 4)**2*(w - 1)**2/3
Let w(n) be the third derivative of -n**6/180 - 53*n**5/30 - 2809*n**4/12 - 148877*n**3/9 + 24*n**2. Factor w(j).
-2*(j + 53)**3/3
Let v(y) be the third derivative of -1/40*y**5 + 5/16*y**4 + 0 + 0*y**3 + 0*y + 44*y**2. Factor v(j).
-3*j*(j - 5)/2
Factor 16/5*m - 22/15*m**2 + 0 + 2/15*m**3.
2*m*(m - 8)*(m - 3)/15
Let 0 + 11/4*j**3 + 2*j - 1/4*j**5 + 9/2*j**2 + 0*j**4 = 0. What is j?
-2, -1, 0, 4
Let m = -7 - 6. Let k(p) = p**2 + 12*p - 9. Let g be k(m). Factor 6*n**g - 2*n**5 + 0*n**2 + n**2 - 9*n**2.
-2*n**2*(n - 2)**2*(n + 1)
Let n(z) be the third derivative of -z**6/200 + 2*z**5/25 - 7*z**4/40 - 234*z**2. Factor n(w).
-3*w*(w - 7)*(w - 1)/5
Let h(g) be the second derivative of g**6/165 - g**5/11 + 2*g**4/11 + 24*g**3/11 - 94*g. Factor h(c).
2*c*(c - 6)**2*(c + 2)/11
Suppose 3*p + 246 + 81 = 4*v, -3*v + p = -239. Let m = v - 73. Suppose 0*g + 3/2*g**3 - 3*g**4 + 3/2*g**m + 0 + 0*g**2 = 0. Calculate g.
0, 1
Let v(i) be the first derivative of -1/120*i**5 + 0*i**2 + 4/3*i**3 + 7 - 1/360*i**6 