
-1, 0
Determine b so that 38*b**2 - 22*b + 51*b**3 + 5*b - 27*b**4 - 41*b**2 - 37*b + 30*b**2 + 3*b**5 = 0.
-1, 0, 1, 3, 6
Factor -201*r + 7*r**2 - 3*r**4 + 108*r**2 - 15*r**3 + 14*r**2 + 90.
-3*(r - 3)*(r - 1)**2*(r + 10)
Let l(i) be the first derivative of -i**4/6 + 50*i**3/3 - 481*i**2 + 2738*i/3 + 259. Solve l(t) = 0.
1, 37
Let t(m) be the first derivative of -160*m + 18 - 50/3*m**3 - 5/4*m**4 - 80*m**2. Factor t(a).
-5*(a + 2)*(a + 4)**2
Suppose -6*x = -7*x - 20. Let w = 23 + x. What is h in 25*h**3 + h**w + 0*h**3 - 4*h**2 = 0?
0, 2/13
Let w(o) = -o**2 - 8*o - 4. Let a(j) = -j - 1. Let k(s) = 6*a(s) - w(s). Let p(r) = 2*r**2 + 4*r - 5. Let v(u) = 7*k(u) - 3*p(u). Factor v(h).
(h + 1)**2
Let t(f) be the first derivative of f**6/45 - f**5/6 + f**4/2 - 7*f**3/9 + 2*f**2/3 + 12*f - 7. Let o(p) be the first derivative of t(p). Factor o(g).
2*(g - 2)*(g - 1)**3/3
Let s = -141509/10 + 14151. Factor 9/5*l**2 - 54/5*l - s*l**3 + 108/5.
-(l - 6)**3/10
Suppose 2/5*l + 8/5*l**2 + 2/5*l**3 - 12/5 = 0. What is l?
-3, -2, 1
Let m(a) be the first derivative of a**3 - 321*a**2 + 34347*a + 318. Factor m(v).
3*(v - 107)**2
Let a(n) be the second derivative of -18*n - 1/48*n**4 + 0*n**2 + 0 + 0*n**3 - 3/160*n**5 - 1/240*n**6. Let a(f) = 0. What is f?
-2, -1, 0
Let z = 60 - 58. Solve 5*m**3 - 3*m - 8 + z*m**4 - m + 2*m**2 - m**4 + 4*m**2 = 0.
-2, 1
Suppose -27*h = -76*h. Let f(g) be the first derivative of g**3 + 0*g**2 + h*g + 3/5*g**5 - 3/2*g**4 - 4. Determine i, given that f(i) = 0.
0, 1
Let d = 101/232 - -49/29. Let z = d - 13/8. Suppose -r**4 + z*r**2 + 0 + 0*r - 3/4*r**5 + 5/4*r**3 = 0. Calculate r.
-2, -1/3, 0, 1
Let h = 5226 - 26123/5. Let -h*l**2 + 3*l + 1/5*l**3 - 9/5 = 0. Calculate l.
1, 3
Let 2047*b - 2335*b - 119 + 36*b**3 + 332*b**2 + 39 = 0. Calculate b.
-10, -2/9, 1
Let j = -67 - 40. Let a = j - -537/5. Factor -2/5*d**3 + 4/5*d + a*d**2 + 0.
-2*d*(d - 2)*(d + 1)/5
Let a = -3566 + 3566. Find u, given that a*u - 8/3 + 2*u**2 + 2/3*u**3 = 0.
-2, 1
Let q be 0/(1/(1/(-3))). Let s(x) be the third derivative of q*x + 1/6*x**4 + 0 + 1/30*x**5 + 2*x**2 + 0*x**3. Factor s(f).
2*f*(f + 2)
Let v(h) = -3*h**2 + 35*h + 66. Let k(u) = -u**2 + 12*u + 21. Let j(g) = 7*k(g) - 2*v(g). Factor j(o).
-(o - 15)*(o + 1)
Let f be 0*(-3 + (-184)/(-64))*4. Determine x so that 0 + 1/2*x**4 - 1/2*x**2 - 1/4*x + 1/4*x**5 + f*x**3 = 0.
-1, 0, 1
Let h(r) be the second derivative of -3/140*r**5 - r + 1/14*r**3 - 1/28*r**4 + 0 + 3/14*r**2. Solve h(s) = 0.
-1, 1
Let q = 131 + -647/5. Let j be 19 + -10 - (0 - (2 + -7)). Factor 0*p + 0 - 28/5*p**j + 0*p**2 + q*p**3 + 4*p**5.
4*p**3*(p - 1)*(5*p - 2)/5
Let r(u) = -5*u**4 - 29*u**3 + 116*u**2 - 24*u - 160. Let y(o) = 20*o**4 + 115*o**3 - 465*o**2 + 95*o + 640. Let c(z) = -15*r(z) - 4*y(z). Factor c(w).
-5*(w - 2)**2*(w + 1)*(w + 8)
Let x(g) be the second derivative of g**8/3360 + g**7/252 - g**6/60 - g**4/4 - 10*g. Let i(y) be the third derivative of x(y). Factor i(n).
2*n*(n - 1)*(n + 6)
Factor 5 - 1/6*l**3 - 13/6*l - 8/3*l**2.
-(l - 1)*(l + 2)*(l + 15)/6
Let t(w) be the second derivative of 0 + 0*w**3 - 39*w + 0*w**2 + 3/16*w**4 - 3/32*w**5 + 1/80*w**6. Suppose t(c) = 0. What is c?
0, 2, 3
Factor 12*x**2 - 12 + 4/5*x - 4/5*x**3.
-4*(x - 15)*(x - 1)*(x + 1)/5
Suppose g = z - 2, -z = -4*z + 2*g + 8. Let j(c) be the first derivative of 0*c**2 - 3/4*c**z + 0*c - 5 + 0*c**3. Determine i, given that j(i) = 0.
0
Suppose 2*r + d = 4*r + 11, -2*d = 6. Let o be r/12 - 24/(-18). Find z such that 6*z**2 + o*z**4 + 3*z + 15/4*z**3 + 0 = 0.
-2, -1, 0
Let k(p) be the third derivative of -p**7/1260 + p**6/720 + p**5/180 + 313*p**2. Find y, given that k(y) = 0.
-1, 0, 2
Let l(f) = f**4 + f**3 + f**2 + f + 3. Let o(c) = 39*c**3 - 114*c**2 + 15*c - 45. Let i(r) = 15*l(r) + o(r). Factor i(a).
3*a*(a - 1)*(a + 5)*(5*a - 2)
Let 0*r + 1/2*r**3 + 1/3*r**2 + 0 + 1/6*r**4 = 0. What is r?
-2, -1, 0
Factor -10*n + 0*n - 6*n + 3*n**2 + n**2.
4*n*(n - 4)
Suppose -12 = -3*r, -77*r + 12 = -2*n - 73*r. Let l(s) be the second derivative of 3/5*s**n + 4/15*s**3 + 7*s + 1/30*s**4 + 0. Factor l(i).
2*(i + 1)*(i + 3)/5
Let v be 5 - (7 + -3 + -8). Factor 3*f**2 - 15*f + 13*f - 6 - v*f**3 + 11*f + 3*f**4.
3*(f - 2)*(f - 1)**2*(f + 1)
Let j(i) be the first derivative of -i**3 - 45*i**2/2 - 732. Factor j(s).
-3*s*(s + 15)
Let g(n) be the first derivative of -n**4/12 + n**3/18 + 17*n**2/12 + 7*n/3 + 109. Factor g(l).
-(l + 1)*(l + 2)*(2*l - 7)/6
Let g be (-65*(-36)/(-4212))/(1 - 34/24). Find j, given that g*j**2 - 2/3*j**3 + 2/3*j - 4/3 = 0.
-1, 1, 2
Solve 9/2*r**3 + 12*r - 18 + 39/2*r**2 = 0.
-3, -2, 2/3
Let d(u) = u**3 - 7*u**2 - 6*u - 14. Let q be d(8). Suppose 3*t + s - 17 + 6 = 0, 0 = 2*t - 4*s + q. Factor -18/5*f - 6/5*f**t + 4/5 + 4*f**2.
-2*(f - 2)*(f - 1)*(3*f - 1)/5
Let t = 35659/20 + -1778. Let v(p) be the third derivative of t*p**6 + 0 + 1/3*p**4 + 81/14*p**7 + 243/112*p**8 - p**2 + 0*p + 29/15*p**5 + 0*p**3. Factor v(o).
o*(o + 1)*(9*o + 2)**3
Let n be (-6)/(-51)*(53 + -19). Find f, given that 3/2*f**2 + 2*f - f**3 - 1/2*f**n - 2 = 0.
-2, 1
Let h(w) = w**3 - 5*w**2 + 6*w - 6. Let m be h(4). Let t be (-9 - -8) + 6/m. Factor -19*i**4 - 7*i**4 - 3 + 36*i**3 - 12*i + 6*i**t - i**4.
-3*(i - 1)**2*(3*i + 1)**2
Let t(f) be the third derivative of 0 + 7/15*f**5 + 1/15*f**6 + 4/3*f**3 + 14*f**2 + 0*f + 7/6*f**4. Factor t(h).
4*(h + 1)*(h + 2)*(2*h + 1)
Let i(v) be the second derivative of 2*v**7/189 - 163*v**6/135 + 99*v**5/2 - 1539*v**4/2 + 729*v**3 - 9*v. What is w in i(w) = 0?
0, 1/2, 27
Let y = 38954 - 1402247/36. Let n = y - -32/9. Factor -1/4 + 5/4*v - n*v**3 + 5/4*v**2 - 10*v**4 - 4*v**5.
-(v + 1)**3*(4*v - 1)**2/4
Let t(g) = 3*g**3 + 142*g**2 - 3*g - 149. Let a(m) = -m**3 + m + 7. Let i(l) = 2*a(l) + 2*t(l). Determine q, given that i(q) = 0.
-71, -1, 1
Let g(c) = -4*c**3 + 196*c**2 + 3068*c + 16384. Let t(y) = -2770*y - 195*y**2 + 2*y**3 - 3420 - 2984 - 9980 - 299*y. Let i(h) = -3*g(h) - 4*t(h). Factor i(d).
4*(d + 16)**3
Let v = -11 - -21. Factor 10 + 14*b**2 + v*b - 4 + 6*b**3 - 4.
2*(b + 1)**2*(3*b + 1)
Factor 2/11*z**2 - 84/11*z + 882/11.
2*(z - 21)**2/11
Let f(z) = -z**2 + 4*z - 1. Let n be f(3). Factor -1 - 1/2*y**4 - 1/2*y**3 + 3/2*y**n + 1/2*y.
-(y - 1)**2*(y + 1)*(y + 2)/2
Suppose l - 6*l = -10. Factor 2*v**5 - 25*v + 56*v**3 - 20*v**l + 13*v**4 + 7*v**4 - 8*v**3 - 25*v.
2*v*(v - 1)*(v + 1)*(v + 5)**2
Let f = -1382409/2 + 255751589/370. Let b = 118/37 + f. Factor 8/5 + 558/5*q**4 - b*q + 402/5*q**2 - 142*q**3 - 162/5*q**5.
-2*(q - 1)**3*(9*q - 2)**2/5
Let g(a) be the first derivative of -a**3/15 + 4*a/5 + 110. What is z in g(z) = 0?
-2, 2
Let u(q) = q**3 - q**2. Let p(a) be the first derivative of -15*a**4/4 + 40*a**3/3 + 15*a**2/2 - 37. Let t(n) = -p(n) - 20*u(n). Determine v so that t(v) = 0.
-3, -1, 0
Let r(n) be the second derivative of 7*n**6/50 + 9*n**5/25 + 3*n**4/20 - n**3/5 + n + 18. Find z, given that r(z) = 0.
-1, 0, 2/7
Let m = 126 + -81. Factor -5*j**5 + 15*j**3 + 20*j**2 - 33*j**4 - 22*j**4 + m*j**4 - 20*j.
-5*j*(j - 1)**2*(j + 2)**2
Let u(z) be the second derivative of -3/14*z**7 + 0 - 2*z**2 - 13/10*z**6 - 43/20*z**5 - 6*z + 7/12*z**4 + 8/3*z**3. Suppose u(q) = 0. What is q?
-2, -1, 1/3
Let u(w) be the first derivative of -w**8/420 + 4*w**7/105 - w**6/5 + 9*w**4/2 + 4*w**3/3 + 17. Let x(z) be the third derivative of u(z). Factor x(g).
-4*(g - 3)**3*(g + 1)
Determine v, given that 25/3*v - 5/3*v**2 - 20/3 = 0.
1, 4
Let n be 6/8*40/15. Suppose 20*b + 0 - 9*b**n + 2 - 6 + 0*b = 0. Calculate b.
2/9, 2
Let o be -3 - (-4 + 9/(-3)). Suppose -o*j = -0 - 16. Solve j*q**2 - 11*q + 16 + 3*q + 2*q - 10*q = 0 for q.
2
Let l = 1201/4 - 1195/4. Solve -9/2*o**2 - 3*o**3 + 12*o - 6 + l*o**4 = 0.
-2, 1, 2
Solve -23*w**2 + 147*w + 2688 + 113*w**2 + 339*w + 3*w**3 + 378*w = 0 for w.
-14, -8
Let y be 3 + -6*(-3)/2. Let c(b) = -6*b**2 + 295*b - 46. Let g be c(49). Factor -40/3*i + y*i**2 + 2/3*i**4 + 16/3 - 14/3*i**g.
2*(i - 2)**3*(i - 1)/3
Let u(r) be the second derivative of 0 - 10/3*r**3 - 7*r + 12*r**2 + 1/3*r**4. Solve u(o) = 0.
2, 3
Let -37*y**3 - 5776 - 29*y**2 + 180*y**2 + 5624*y - 26*y**3 + 64*y**3 = 0. Calculate y.
-76, 1
Let h(u) be the third derivative of u**7/70 + u**6/40 - 7*u**2 - 2*u. Factor h(f).
3*f**3*(f + 1)
Let w(o) be the first 