Let q(b) be the third derivative of 0*b**4 - 3*b**2 + 0*b**3 + 0*b - 1/60*b**5 + i + 1/120*b**6. Factor q(w).
w**2*(w - 1)
Find p such that 0 - 2/9*p**3 - 2/3*p + 8/9*p**2 = 0.
0, 1, 3
Suppose 4*h = 5*n, 9*n = 13*n. Let f(x) be the second derivative of h - x + 1/30*x**4 + 4/5*x**2 - 4/15*x**3. Factor f(p).
2*(p - 2)**2/5
Let k(l) = l**3 - l. Let d(j) = -10*j**5 + 12*j**4 + 67*j**3 + 20*j**2 - 57*j - 32. Let b(p) = 2*d(p) - 6*k(p). Let b(v) = 0. What is v?
-1, 1, 16/5
Let t = 26 + -23. Suppose 12 + t = 3*w. Solve -18*z**4 - 13*z**5 - 4*z**3 - 5*z**w + 0*z**5 = 0 for z.
-2/3, -1/3, 0
Let f(u) be the third derivative of -u**6/360 + 2*u**5/45 - 7*u**4/24 + u**3 - 9*u**2 - 2. Factor f(g).
-(g - 3)**2*(g - 2)/3
Find a such that 6/7 + 2/7*a**2 - 8/7*a = 0.
1, 3
Let o = -7852/471 - -2/471. Let b = o + 18. Factor 0 + 2/3*u + 2/3*u**3 - b*u**2.
2*u*(u - 1)**2/3
Suppose 2*a - 15 = -3*y, -4*y - 5*a = -38 + 11. Find u, given that 7*u**y + 18 - 14*u**3 - 30*u + 14*u**2 + 5*u**3 = 0.
1, 3
Let y = 12 + -8. Find q such that 0*q**5 + 24*q**3 + 12*q**2 + 4*q**5 + 4*q**2 - 2*q + 6*q + 16*q**y = 0.
-1, 0
Suppose -17*d - 4*d**2 - 7412 - d**3 + 58*d + 7376 = 0. What is d?
-9, 1, 4
Let d(s) = -s**3 + 7*s**2 - 6*s + 2. Let x be d(6). Let q = -3727 + 3727. Factor -1/4*p**4 + 3/4*p**x + 1/2*p + q*p**3 + 0.
-p*(p - 2)*(p + 1)**2/4
Let d(f) be the third derivative of 1/570*f**5 + 0 - 1/38*f**4 + 5/57*f**3 + 0*f - 7*f**2. What is g in d(g) = 0?
1, 5
Let v be -10 - -4*98/38. Factor 4/19 + 2/19*a**3 - v*a + 0*a**2.
2*(a - 1)**2*(a + 2)/19
Let t(f) be the second derivative of 2*f**7/21 - 14*f**6/15 + 3*f**5 - 13*f**4/3 + 8*f**3/3 - 258*f. Solve t(m) = 0 for m.
0, 1, 4
Let w(o) be the first derivative of 8 - 5/9*o**3 + 5/6*o**2 + 10/3*o. Suppose w(u) = 0. What is u?
-1, 2
Suppose 19*t = 13*t. Let z(s) be the second derivative of -1/2*s**3 + s - 1/24*s**4 - 9/4*s**2 + t. Factor z(g).
-(g + 3)**2/2
Let z = -553 + 4425/8. Let b(s) be the first derivative of 1 + 0*s + 1/2*s**2 - z*s**4 - 1/6*s**3. Suppose b(r) = 0. What is r?
-2, 0, 1
Let v(d) be the second derivative of 5*d**6/6 + 19*d**5/2 + 55*d**4/3 - 20*d**3 - 6*d - 6. Factor v(g).
5*g*(g + 2)*(g + 6)*(5*g - 2)
Suppose -12*q = 10*q + 10*q + 15*q. Determine x so that q + 4/9*x**4 - 4/9*x**2 + 2/9*x + 0*x**3 - 2/9*x**5 = 0.
-1, 0, 1
Suppose -y**2 + y - 1/4*y**5 + y**4 - 3/4*y**3 + 0 = 0. Calculate y.
-1, 0, 1, 2
Let n(w) = 178*w**5 + 1264*w**4 + 2650*w**3 + 1756*w**2 + 448*w + 31. Let k(q) = 2*q**5 + 2*q**2 - 1. Let g(d) = -18*k(d) + 2*n(d). Find v such that g(v) = 0.
-5, -2, -2/5, -1/4
Let d be (9 + -5 - -5)/(-14). Let n = d + 8/7. Factor 1/4*y**2 + 0 - n*y.
y*(y - 2)/4
Let n be (6/(-126))/((-6)/36). Let z(v) be the first derivative of n*v + 4 + 0*v**2 - 2/21*v**3. Factor z(s).
-2*(s - 1)*(s + 1)/7
Let l = 90 - 56. Suppose -29*h + l*h = 15. Determine d so that -3*d**5 - 2*d**2 + 0*d**3 + 0*d**h + 3*d**3 + 5*d**2 - 3*d**4 = 0.
-1, 0, 1
Let a(h) be the third derivative of 1/4*h**4 + 4/3*h**3 + 0*h - 19*h**2 + 1/60*h**5 + 0. Determine r, given that a(r) = 0.
-4, -2
Suppose 30120*g - 30143*g + 207 = 0. Let 51/2*o - g - 15/2*o**2 = 0. Calculate o.
2/5, 3
Suppose -1024 - b**2 + 8*b + 41*b - 7*b + 22*b = 0. Calculate b.
32
Let x(g) be the third derivative of -g**6/30 + 7*g**5/15 + g**4/6 - 14*g**3/3 - 66*g**2. Factor x(y).
-4*(y - 7)*(y - 1)*(y + 1)
Let q(j) be the second derivative of -1/9*j**3 + 1/30*j**5 - 1/12*j**4 + 0*j**2 + 15*j + 0. Factor q(o).
o*(o - 2)*(2*o + 1)/3
Suppose 2*w - w - 25 = 5*p, 3*w - 3*p - 15 = 0. Suppose -2/5*i**3 + w - 8/5*i**2 - 6/5*i = 0. What is i?
-3, -1, 0
Let z(n) be the third derivative of -n**8/1848 - n**7/105 + 5*n**6/132 - 13*n**5/330 + 4*n**2 - 4*n. Solve z(o) = 0 for o.
-13, 0, 1
Suppose -1/4*j + 0 - 5/8*j**2 + 3/8*j**3 = 0. Calculate j.
-1/3, 0, 2
Let d(z) be the second derivative of -1/8*z**2 + 0 + 0*z**3 + 2*z + 1/48*z**4. Find g, given that d(g) = 0.
-1, 1
Suppose -5*k + 0 = -i - 38, 5 = 2*k + 3*i. Suppose 12*v = k*v. Solve 2/7*r**2 + v - 2/7*r = 0 for r.
0, 1
Let s(y) = 48 + 20 + 6*y + 35 - 23. Let d be s(-13). Let -108/5*g**d - 24/5*g**3 - 162/5 - 2/5*g**4 - 216/5*g = 0. Calculate g.
-3
Let l = 72 + -67. Suppose -6 - 6*v**2 + 4*v**4 - 58*v**3 + 3*v**l + 20*v + 45*v**3 - 2 = 0. Calculate v.
-2, 2/3, 1
Let t(d) be the third derivative of -d**8/1344 + d**7/840 + d**6/160 - d**5/48 + d**4/48 + 2*d**2 + 34*d. Factor t(a).
-a*(a - 1)**3*(a + 2)/4
Let c(x) be the third derivative of -x**6/30 - 14*x**5/5 - 41*x**4/6 + x**2 + 83. Determine j so that c(j) = 0.
-41, -1, 0
Suppose 0 = -5*t - 4*t. Suppose t = -7*v + 10 + 4. Factor 0 - 1/2*q + 1/2*q**v.
q*(q - 1)/2
Let s(x) be the first derivative of -x**3/12 - 5*x**2/4 + 11. Factor s(p).
-p*(p + 10)/4
Suppose -116*f = -112*f + x - 8, 3*f = -x + 5. Find k such that 0*k**2 - 1/3*k**f + 0 + 1/3*k = 0.
-1, 0, 1
Let i be -7 + 2841/(-15)*2. Let z = 387 + i. Let z*t - 4/5 - 2/5*t**2 = 0. What is t?
1, 2
Let c(z) = -z**3 + 13*z**2 - 4*z - 29. Let j be c(12). Let g = j + -64. Determine y so that 32/3*y**2 + 4/3 + 22/3*y + 14/3*y**g = 0.
-1, -2/7
Let g(a) be the third derivative of 1/4*a**3 - 10*a**2 + 0 - 21/80*a**5 - 19/32*a**4 + 0*a. Factor g(x).
-3*(x + 1)*(21*x - 2)/4
Let d be 11 + 665/(-60) - 2/(-24). Let p(x) be the second derivative of 0 + 1/4*x**3 - 4*x + d*x**2 - 1/8*x**4. Factor p(j).
-3*j*(j - 1)/2
Let s = -7 + 9. Let m(x) be the first derivative of 1 - 2/9*x**3 - 8/3*x**s - 32/3*x. Solve m(g) = 0.
-4
Let b(i) = 2*i**4 - 9*i**3 + 2*i**2 + 11*i. Let h(n) = n**3 + n. Let c = -18 + 16. Let p(r) = c*h(r) - 2*b(r). Factor p(f).
-4*f*(f - 3)*(f - 2)*(f + 1)
Suppose -21*y + 20 = -16*y. Let p be ((-20)/(-16))/(4/4). Factor -1/2*i**2 - p*i - 1/2 + i**y + 1/4*i**5 + i**3.
(i - 1)*(i + 1)**3*(i + 2)/4
Let z = 3793/9 - 421. Let k = z - -1/18. Find x such that 0 - 1/2*x + k*x**2 = 0.
0, 1
Let c(r) be the first derivative of r**4/34 - 8*r**3/51 + 4*r**2/17 + 106. Factor c(h).
2*h*(h - 2)**2/17
Let g(w) be the first derivative of w**6/3 - 128*w**5/5 + 768*w**4 - 32768*w**3/3 + 65536*w**2 - 57. Solve g(f) = 0 for f.
0, 16
Let r = 4673/3732 - 2/933. Let x(z) be the second derivative of 0*z**2 + 8*z + 1/10*z**6 - 3/5*z**5 + 0 + r*z**4 - z**3. Factor x(t).
3*t*(t - 2)*(t - 1)**2
Let l(n) = -3*n**2 - 121 + 3*n**3 + 57 + 60 + 2*n. Let w(x) = -2*x**3 + 3*x**2 - x + 3. Let b(t) = 3*l(t) + 4*w(t). Find c, given that b(c) = 0.
-2, -1, 0
Suppose -3*g = -3*u - 21, -25 = -5*g + 4*u + 5. Factor g*h**2 + 10*h + 8 + 0*h - 2*h.
2*(h + 2)**2
Let 131*d - d**2 - 68*d + 21*d + 5*d**2 = 0. Calculate d.
-21, 0
Let g(p) be the first derivative of -p**3 + 123*p**2 + 504*p - 653. Factor g(r).
-3*(r - 84)*(r + 2)
Let i(k) be the first derivative of k**4/16 - 7*k**3/3 + 77*k**2/8 - 25*k/2 - 739. Suppose i(q) = 0. What is q?
1, 2, 25
Suppose -3*s = -22*s + 6*s + 39. Factor 10/3*f**s + 0*f**4 + 5*f + 4/3 + 20/3*f**2 - 1/3*f**5.
-(f - 4)*(f + 1)**4/3
Let u(s) be the first derivative of s**7/105 + s**6/18 - s**5/10 - 2*s**3 - 3. Let w(o) be the third derivative of u(o). Factor w(t).
4*t*(t + 3)*(2*t - 1)
Let g(r) be the third derivative of -r**8/10080 + r**7/420 - r**5/6 - 17*r**2. Let n(t) be the third derivative of g(t). Factor n(b).
-2*b*(b - 6)
What is x in 0*x + 15/8*x**2 - 3/8*x**3 + 0 = 0?
0, 5
Let o(n) be the third derivative of 0 - 2/9*n**4 + 2/315*n**7 - 2*n - 1/18*n**6 + 17*n**2 + 0*n**3 + 8/45*n**5. Factor o(a).
4*a*(a - 2)**2*(a - 1)/3
Let v(l) be the second derivative of 17*l**7/42 - 10*l**6/9 + 47*l**5/60 + l**4/18 - 2*l - 26. Factor v(o).
o**2*(o - 1)**2*(51*o + 2)/3
Suppose 5*u + 18 = 3*u. Let o = u - -12. Factor -k**o - 3*k**4 - k**3 - k**3.
-3*k**3*(k + 1)
Factor 1/3*o**2 + 0 + 1/3*o**3 + 0*o.
o**2*(o + 1)/3
Let c = -2/5 + 9/20. Let l(v) be the second derivative of 0 - 3/8*v**4 + 0*v**2 + 1/2*v**3 + 0*v**5 + 10*v + c*v**6. Solve l(i) = 0.
-2, 0, 1
Find r, given that -288/11*r - 290/11 + 2/11*r**2 = 0.
-1, 145
Let p(x) be the first derivative of -x**6/1020 + x**5/204 + x**4/102 - 13*x**3/3 + 29. Let z(w) be the third derivative of p(w). What is l in z(l) = 0?
-1/3, 2
Solve 20/7*s**3 + 243/7 - 1/7*s**4 - 114/7*s**2 + 108/7*s = 0 for s.
-1, 3, 9
Let c(n) = n**3 - 11*n**2 + 14*n + 36. Let l be c(9). Solve l*p + 0 - 10/3*p**4 + 8*p**3 - 8/3*p**2 = 0 for p.
0, 2/5, 2
Let u(r) be 