**5 + 3/2*j + 21/8*j**2 + 9/4*j**3 - 6. Solve i(m) = 0.
-2, -1
Let r = 49 + -44. Factor -r - 8*c - 20 + 53*c - 5*c**3 - 15*c**2.
-5*(c - 1)**2*(c + 5)
Let r be (10/(-8))/5 - 41/(-20). Let b = -13/10 + r. Factor -g**3 + 0*g + 0 - 1/2*g**2 - b*g**4.
-g**2*(g + 1)**2/2
Suppose 26*g + 32*g = -4*g + 62. Factor g - 3/2*x + 1/2*x**2.
(x - 2)*(x - 1)/2
Let n be ((-2)/(-4))/(2/56). Suppose -n*c = -8*c - 12. Let 2/5*l + 4/5 - 2/5*l**c = 0. What is l?
-1, 2
Factor -4/9 + 0*y + 1/9*y**3 + 1/3*y**2.
(y - 1)*(y + 2)**2/9
Let u(s) be the first derivative of s**7/231 - s**6/55 + s**5/55 - 13*s + 2. Let g(y) be the first derivative of u(y). Factor g(x).
2*x**3*(x - 2)*(x - 1)/11
Let q = 2/23535 + 70597/94140. Factor 1/2 + q*i - 2*i**2 + 3/4*i**3.
(i - 2)*(i - 1)*(3*i + 1)/4
Let j be (915/8052)/((-1)/(-8)). Determine x, given that -6/11*x**2 - 4/11 - j*x = 0.
-1, -2/3
Let h(l) = l**2 + l - 1. Let u(g) = -7*g**2 - 9*g + 8. Suppose -168 = 5*y - 12*y. Let z(c) = y*h(c) + 3*u(c). Find t, given that z(t) = 0.
0, 1
Let h(v) be the third derivative of v**6/90 - 4*v**5/15 + 8*v**4/3 + v**3/3 - 3*v**2. Let u(i) be the first derivative of h(i). Factor u(w).
4*(w - 4)**2
Let u(i) be the first derivative of -21*i**4/8 + 11*i**3/3 + i**2/4 - i + 44. Factor u(v).
-(v - 1)*(3*v - 1)*(7*v + 2)/2
Let j = -188 - -325. Let b = j + -541/4. Factor -b*n**2 - 4*n - 1.
-(n + 2)*(7*n + 2)/4
Let y(d) = 32*d - 64. Let b be y(2). Let z(x) be the third derivative of 0 + 1/240*x**6 + 0*x**3 + 1/60*x**5 + 1/48*x**4 + b*x - 2*x**2. Factor z(o).
o*(o + 1)**2/2
Find c, given that -2/25*c + 2/25*c**3 + 28/25*c**2 - 28/25 = 0.
-14, -1, 1
Factor -6*b - 9/4*b**2 + 3/8*b**3 + 0.
3*b*(b - 8)*(b + 2)/8
Let w(q) = -64*q**3 + q**2 + q. Let y be w(-1). Factor 29*t + y - 10*t**2 - 2*t**2 + 3*t + 16*t**2.
4*(t + 4)**2
Let x(g) be the first derivative of g**3 + 162*g**2 - 411. Factor x(j).
3*j*(j + 108)
Let t(f) be the third derivative of f**6/105 - 17*f**5/420 + f**4/14 + f**3/3 + 3*f**2. Let q(o) be the first derivative of t(o). Factor q(i).
2*(3*i - 2)*(4*i - 3)/7
Determine t so that 19*t**3 - 225*t + 10*t**3 + 77*t**2 + 118*t**2 + t**4 = 0.
-15, 0, 1
Let b(s) be the first derivative of -s**6/24 + s**5 - 13*s**4/4 + 7*s**3/6 + 53*s**2/8 - 17*s/2 - 170. Suppose b(i) = 0. What is i?
-1, 1, 2, 17
Let v(m) = -m**3 - 9*m**2 - 12*m + 19. Let w be v(-7). Let l be (-2)/(-3 - (w + -7)). What is r in 4*r + 1/2*r**2 + l - 3/2*r**3 = 0?
-1, -2/3, 2
Let k(i) = 15*i**2 + 10*i - 20. Let s(p) = p**2 + 7*p - 7. Let o(u) = 2*u**2 + 15*u - 15. Let y(b) = -6*o(b) + 13*s(b). Let t(m) = -k(m) + 20*y(m). Factor t(q).
5*q*(q + 2)
Let u = -47 + 51. Factor 3 - 2*n**2 + 0*n**3 + n - n**2 + 3*n**3 - u*n.
3*(n - 1)**2*(n + 1)
Let t(x) be the third derivative of x**9/3024 + x**8/840 - x**7/840 - x**6/180 + 6*x**3 - 18*x**2. Let l(o) be the first derivative of t(o). Factor l(d).
d**2*(d - 1)*(d + 1)*(d + 2)
Let g be 6/21 + 132/28. Find a such that 7*a**3 + 24*a**4 - 14*a**4 - 16*a**g + 13*a**3 + 12*a**2 - 22*a**4 - 4*a = 0.
-1, 0, 1/4, 1
Let f(x) = -17*x**3 + 13*x**2 - 3*x - 14. Let i(j) = -9*j**3 + 6*j**2 - j - 8. Let l(s) = 4*f(s) - 7*i(s). Factor l(z).
-5*z*(z - 1)**2
Let j = -1477 + 1479. Let w(g) be the first derivative of -21/5*g**4 + 51/25*g**5 + 22/5*g**3 - 12/5*g**2 + j - 2/5*g**6 + 3/5*g. Factor w(z).
-3*(z - 1)**4*(4*z - 1)/5
Suppose -8*w + 7*w = -5, 0 = 3*r - w - 1. Factor 0 + 0*m + 3*m**r + 3/4*m**4 - 3*m**3.
3*m**2*(m - 2)**2/4
Suppose 5*r - 5*z = 65, -2*r + 4*z - 3*z = -27. Suppose -4*i + 20 = -3*h - 7, h = 3*i - r. Determine q, given that -1/5 - 1/5*q + 1/5*q**2 + 1/5*q**i = 0.
-1, 1
Suppose -2*n = -12*n + 20. Factor -482 + 354*r - 18 - 60*r**n + 4*r**3 - 54*r.
4*(r - 5)**3
Let f(t) be the second derivative of 1/45*t**5 + 0*t**3 + 1/135*t**6 + 0 + 0*t**2 + 0*t**4 + 2*t. Determine n, given that f(n) = 0.
-2, 0
Let l(s) be the third derivative of s**7/3360 - s**5/160 + s**4/48 + 5*s**3/6 + 3*s**2. Let m(o) be the first derivative of l(o). Factor m(d).
(d - 1)**2*(d + 2)/4
Find r such that 4*r**4 + 0 - 16*r**2 - 4/5*r**5 + 0*r**3 + 64/5*r = 0.
-2, 0, 1, 2, 4
Determine l, given that 3694*l**5 - 3589*l**5 - 214*l**4 + 1827*l**3 + 2008*l**4 + 42*l**2 - 96*l = 0.
-16, -1, -2/7, 0, 1/5
Suppose 740 = -5*l - 5*t, 3*l + 2*t = -l - 590. Let n = l + 741/5. Find u, given that n*u + 1/5*u**2 + 9/5 = 0.
-3
Let b(m) = -5*m**3 - 3*m**2 + 9*m + 1. Let t(i) = 4*i - 3. Let k be t(5). Let c(s) = -14*s**3 - 8*s**2 + 26*s + 3. Let u(l) = k*b(l) - 6*c(l). Factor u(n).
-(n + 1)**3
Let m(g) = -3*g**2 + 93*g. Let r(l) = -2*l**2 + 3*l**2 + 0*l**2 - 37*l. Let j(h) = -5*m(h) - 12*r(h). Let j(c) = 0. Calculate c.
0, 7
Factor 0*g + 1/5*g**3 - 2/5*g**2 + 0 + 1/5*g**4.
g**2*(g - 1)*(g + 2)/5
Suppose -t - 8 - 18 = 0. Let m = 29 + t. Suppose -105*h + 19*h**4 - 8*h**m - 4*h**2 - 7*h**5 + 105*h = 0. What is h?
-2/7, 0, 1, 2
Let f be (-63)/(-15) + (-2)/10. Factor 8*p**2 + 2*p**5 - 6*p**f + 5476*p**3 - 5476*p**3.
2*p**2*(p - 2)**2*(p + 1)
Let s be (23 + -35 + 8)/((-5)/((-15)/(-114))). Factor -s*z**2 + 0*z + 2/19*z**4 + 0 + 0*z**3.
2*z**2*(z - 1)*(z + 1)/19
Let i(g) be the third derivative of -g**6/180 + g**4/3 + 8*g**3/3 - g**2. Let k(q) be the first derivative of i(q). Let k(l) = 0. Calculate l.
-2, 2
Suppose 68/3*y**3 + 0 + 64/3*y + 2/3*y**4 + 130/3*y**2 = 0. What is y?
-32, -1, 0
Suppose -5*d + 2*o + 2*o + 88 = 0, -o = -5*d + 82. Suppose 4*h = 16 + d. Factor -12*j**3 + 4*j + h*j**4 - 2*j**4 - 10*j**2 + 4*j**3.
2*j*(j - 2)*(j + 1)*(3*j - 1)
Let x(r) be the second derivative of r**7/4200 + r**6/180 + r**5/24 - 4*r**3/3 + 17*r. Let u(m) be the second derivative of x(m). Factor u(z).
z*(z + 5)**2/5
Determine k, given that -2/7*k**3 - 1458/7*k**2 - 354294/7*k - 28697814/7 = 0.
-243
Let q be -1 + (3 - 7) + 17/((-748)/(-231)). Suppose 0 - 3/4*w**4 + 3/4*w**2 + q*w**3 - 1/2*w + 1/4*w**5 = 0. What is w?
-1, 0, 1, 2
Let t(y) be the second derivative of -y**8/20160 + y**7/3780 - 5*y**4/4 - 18*y. Let p(f) be the third derivative of t(f). Let p(x) = 0. Calculate x.
0, 2
Let s(x) be the third derivative of x**10/12096 + x**9/2016 + x**8/896 + x**7/1008 + 11*x**4/12 + x**2. Let f(m) be the second derivative of s(m). Factor f(w).
5*w**2*(w + 1)**3/2
Let f(b) be the third derivative of b**7/280 - 3*b**6/80 - 7*b**5/80 + 9*b**4/8 + 9*b**3/2 - 191*b**2. What is n in f(n) = 0?
-2, -1, 3, 6
Let b(o) be the third derivative of o**8/241920 + o**7/6720 + o**6/1080 - o**5/2 + o**3/6 - 4*o**2 - 2. Let a(c) be the third derivative of b(c). Factor a(d).
(d + 1)*(d + 8)/12
Let n(g) = g + 1. Let d(k) = 3 + 2*k**2 - 159*k + 167*k + 3*k**2. Let w(u) = -d(u) - 2*n(u). Factor w(j).
-5*(j + 1)**2
Let f(n) = 7*n**3 - 14*n**2 - n + 14. Let m(r) = -15*r**3 + 30*r**2 + 2*r - 30. Let q(w) = 13*f(w) + 6*m(w). Factor q(u).
(u - 2)*(u - 1)*(u + 1)
Let s(n) be the first derivative of 5*n**6/6 - n**5 - 15*n**4/4 + 25*n**3/3 - 5*n**2 - 297. Factor s(r).
5*r*(r - 1)**3*(r + 2)
Let b(c) be the second derivative of -1/16*c**4 + 0*c**3 + 0 + 1/80*c**5 + 1/2*c**2 - 13*c. Factor b(m).
(m - 2)**2*(m + 1)/4
Let k(c) be the second derivative of c**6/75 - 4*c**5/25 + 7*c**4/10 - 22*c**3/15 + 8*c**2/5 - 57*c. Factor k(x).
2*(x - 4)*(x - 2)*(x - 1)**2/5
Let c(a) be the first derivative of 2*a**5/15 + 5*a**4/6 + 16*a**3/9 + 4*a**2/3 + 188. Factor c(s).
2*s*(s + 1)*(s + 2)**2/3
Let h(m) be the first derivative of 1/12*m**3 - 3/4*m**2 - 1/4*m + 2 + 3/8*m**4. Factor h(u).
(u - 1)*(u + 1)*(6*u + 1)/4
Let q(b) be the third derivative of -b**6/30 + b**5 - 28*b**4/3 + 113*b**2 + 1. Determine k, given that q(k) = 0.
0, 7, 8
Suppose 27*n - 1232 = -50*n. Let v(r) be the first derivative of 0*r**2 + 6 + 4/3*r**3 - n*r. Factor v(q).
4*(q - 2)*(q + 2)
Solve -2*m**2 + 0 + 2/7*m + 12/7*m**3 = 0.
0, 1/6, 1
Suppose 25*w + 31*w = 67*w. Let l(s) be the second derivative of -1/18*s**4 + w*s**3 - 7*s + 0*s**5 + 1/45*s**6 + 0 + 0*s**2. Factor l(v).
2*v**2*(v - 1)*(v + 1)/3
Let y be 9844/2889 - 4/54. Factor -y*s**2 - 2*s**3 - 4/3*s + 0.
-2*s*(s + 1)*(3*s + 2)/3
Let s = -43970 + 43973. Factor 0*r + 6/5*r**4 + 24*r**s + 0 + 120*r**2.
6*r**2*(r + 10)**2/5
Let y(z) be the third derivative of -8*z**7/105 + 3*z**6/10 + 2*z**5/3 - z**4/2 + 45*z**2. Solve y(u) = 0 for u.
-1, 0, 1/4, 3
Let r(a) be the first derivative of a**6/2 - 12*a**5/5 