*3 - 8/7*a = 0?
-2, 2
Let v(g) = 2*g - 1. Let y be v(1). Let t(a) = a**2 + a - 1. Let q(h) = 6*h**2 + 27*h + 45. Let x(i) = y*q(i) - 3*t(i). Factor x(c).
3*(c + 4)**2
Let a(n) be the first derivative of -n**7/1680 + n**6/240 + 12*n**2 + 56. Let d(c) be the second derivative of a(c). Determine x so that d(x) = 0.
0, 4
Suppose 2*r + 5*m - 39 = -r, 6 = 2*m. Let -r*h**2 - 31 - 27 + 2*h + 58 = 0. Calculate h.
0, 1/4
Let x(n) be the third derivative of -1/42*n**8 + 2/35*n**7 + 0*n + 0*n**6 + 0*n**4 + 24*n**2 - 1/15*n**5 + 0*n**3 + 0. Factor x(l).
-4*l**2*(l - 1)**2*(2*l + 1)
Let q be -3 - -9 - (-8 - (-3 - 4)). Let s(x) be the first derivative of -2/9*x**3 - q - 1/12*x**4 + 0*x**2 + 0*x. Factor s(d).
-d**2*(d + 2)/3
Factor 4/3*j**4 - 4*j**2 - 16/3 + 32/3*j - 8/3*j**3.
4*(j - 2)*(j - 1)**2*(j + 2)/3
Let o(p) be the third derivative of p**5/90 + 65*p**4/9 + 16900*p**3/9 - 74*p**2. Factor o(i).
2*(i + 130)**2/3
Let q(c) be the second derivative of c**6/15 - 19*c**5/5 + 214*c**4/3 - 1258*c**3/3 + 867*c**2 + 8*c - 3. Determine h, given that q(h) = 0.
1, 3, 17
Let n(i) be the second derivative of i**5/10 + 7*i**4/3 + 8*i**3 - 183*i. Factor n(b).
2*b*(b + 2)*(b + 12)
Determine b so that -b**4 - 14/3*b**3 - 13/3*b**2 + 0 + 2*b = 0.
-3, -2, 0, 1/3
Let v(t) = 1 - 6*t + 3*t - 3*t + 5*t. Let j(w) = 3*w**2 - 14*w + 11. Let q(g) = j(g) - 2*v(g). What is u in q(u) = 0?
1, 3
Let u(j) be the second derivative of -j**4/6 + j**3 + 10*j**2 + 152*j + 1. Determine d, given that u(d) = 0.
-2, 5
Let y(x) be the third derivative of 7/48*x**4 + 49/24*x**3 + 1/240*x**5 + 0 + 0*x + 19*x**2. Factor y(u).
(u + 7)**2/4
Let j(p) be the second derivative of p**8/2240 - p**6/240 - 5*p**4/3 + 10*p. Let h(b) be the third derivative of j(b). Factor h(c).
3*c*(c - 1)*(c + 1)
Find a such that 2/15*a**5 + 0 - 34/15*a**2 - 32/15*a + 2*a**3 + 34/15*a**4 = 0.
-16, -1, 0, 1
Let z(h) = h**4 + 27*h**3 - 123*h**2 + 101*h + 6. Let f(b) = 8*b**4 + 188*b**3 - 860*b**2 + 708*b + 44. Let a(w) = 6*f(w) - 44*z(w). Solve a(r) = 0.
0, 1, 7
Find q such that 199*q**2 + 215*q - 81*q**2 - 128*q**2 + 110 = 0.
-1/2, 22
Factor -124*f**3 + 27*f**4 + 16 + 9*f**4 - 102*f + 156*f**2 + 0*f**3 + 18*f.
4*(f - 1)**3*(9*f - 4)
Let a = 25 + -45. Let p = a - -22. Factor 2*c - 4*c + 3*c**4 - c**2 - 4*c - 8*c**p.
3*c*(c - 2)*(c + 1)**2
Let m be 477/10 - (-22)/(-110). Let v = m + -653/14. Find i such that 4/7*i + 0 - 16/7*i**3 + 6/7*i**4 + v*i**2 = 0.
-1/3, 0, 1, 2
Let d(t) be the third derivative of 0*t**3 + 0*t**7 - 1/1680*t**8 + 0 + 0*t**4 + 0*t + 0*t**5 - 17*t**2 + 1/600*t**6. Let d(k) = 0. Calculate k.
-1, 0, 1
Let -130/23*h - 58/23*h**2 - 6/23*h**3 + 50/23 = 0. What is h?
-5, 1/3
Let t(y) be the first derivative of 4*y**6/3 - 24*y**5/5 - 15*y**4/2 - 8*y**3/3 + 201. Factor t(w).
2*w**2*(w - 4)*(2*w + 1)**2
Factor 7/2*j**3 + 0 + 0*j + 1/2*j**5 + 3/2*j**2 + 5/2*j**4.
j**2*(j + 1)**2*(j + 3)/2
Suppose 12 = 192*m - 189*m. Suppose i - 8 = z, m*z + 30 = 5*i + z. Factor -1/3*q**i + 1/3*q**2 + 2/3*q + 0.
-q*(q - 2)*(q + 1)/3
Factor 4/3 - 1/3*l**3 + 4/3*l - 1/3*l**2.
-(l - 2)*(l + 1)*(l + 2)/3
Let k(p) = 7*p**4 - 7*p**3 + 3*p**2 + 2*p + 5. Let w(u) = 4*u**4 - 4*u**3 + 2*u**2 + u + 3. Let o = -15 + 18. Let a(l) = o*k(l) - 5*w(l). Factor a(h).
h*(h - 1)**2*(h + 1)
Let x(n) = 7*n**2 + 58*n + 117. Let j be x(-5). Find i, given that 176/3*i**j - 140*i**3 - 8*i + 100*i**4 + 125/6*i**5 + 0 = 0.
-6, 0, 2/5
Find i, given that 58740*i**2 + 2*i - 58740*i**2 - 4*i**3 + 2*i**5 = 0.
-1, 0, 1
Let i(t) be the second derivative of -1/2*t**5 + 12*t + 0 - 2*t**2 - 7/3*t**3 - 3/2*t**4 - 1/15*t**6. Factor i(b).
-2*(b + 1)**3*(b + 2)
Let r(s) be the first derivative of 1 - 27/10*s**2 - 1/20*s**4 - 3/5*s**3 - 12*s. Let k(n) be the first derivative of r(n). What is o in k(o) = 0?
-3
Let l = -1335 + 1337. Factor 3/4*f**3 + 1/4*f - 1/4*f**4 + 0 - 3/4*f**l.
-f*(f - 1)**3/4
Factor 7/4*a + 0 - 1/4*a**2.
-a*(a - 7)/4
Let q(i) = i**3 + 2*i**2 + i. Let v be q(-1). Suppose -6 = -v*x + 3*x, -5*x = -5*a + 20. Factor 1/5 + 1/5*p**a - 2/5*p.
(p - 1)**2/5
Let -2/3*i**2 + 0 - 6*i = 0. Calculate i.
-9, 0
Let j(s) be the first derivative of -s**3/12 - s**2/8 - 972. Determine d, given that j(d) = 0.
-1, 0
Suppose 0 = x + 3*x - 3*c - 10, -c + 2 = 0. Factor -4*i**2 - x*i - 8 + 4*i - 12*i.
-4*(i + 1)*(i + 2)
Factor -15*k**3 - 248*k**5 + 20*k**4 + 490*k**5 - 247*k**5.
-5*k**3*(k - 3)*(k - 1)
Let q(p) = p**2 - 2*p - 1. Suppose -19 = 3*n - 4*b, -2*n + 4*b - 14 = -4*n. Let y be q(n). Factor -3*d**y - 6 - 1 + 7 - 6*d + 9.
-3*(d - 1)*(d + 3)
Let s(c) = c**2 + 3*c + 7. Let x be s(-5). Let -465*k - 345*k**3 + 90 + 228*k**2 + 33*k**4 + 502*k**2 + x*k**4 = 0. What is k?
2/5, 1/2, 3
Suppose 3*u = -4*w - 12, -4*w + 4*u + 16 = -2*w. Suppose w = -4*y - 1 + 9. Find t such that -6*t**2 + y*t**3 - 3*t + t**3 + 8*t - 2*t = 0.
0, 1
Suppose -69 = o - 0*r + 3*r, -2*r = -8. Let j = o + 89. Find m, given that 7/2*m**5 + m**2 + 0*m + 11/2*m**3 + 0 + j*m**4 = 0.
-1, -2/7, 0
Find x such that 1/5*x**3 + 224/5*x - 128 - 26/5*x**2 = 0.
8, 10
Let m(n) = n**2 - n - 5. Let w be m(6). Let d = w + -20. Find x, given that -x**4 - 4*x + 0*x**4 + 0*x**4 + 3*x**4 + 2*x**d - 6*x**3 - 10*x**2 = 0.
-1, 0, 2
Let z(w) = -22*w**3 - 102*w**2 + 214*w - 48. Let c(d) = -5*d**3 - 2*d**2. Let f(m) = -6*c(m) + z(m). Factor f(y).
2*(y - 8)*(y - 3)*(4*y - 1)
Determine q so that -40/3*q - 38/3 - 2/3*q**2 = 0.
-19, -1
Let w(g) be the second derivative of g**6/10 - 4*g**5/5 + 22*g**4/9 - 32*g**3/9 + 8*g**2/3 - 61*g. Factor w(o).
(o - 2)**2*(3*o - 2)**2/3
Let q(v) be the second derivative of v**7/5040 + v**6/720 + v**4 - 36*v. Let t(c) be the third derivative of q(c). Suppose t(i) = 0. What is i?
-2, 0
Suppose -209*t = -204*t - 4*y - 10, 3*t + y = 6. Let 3/4 + 3/2*u + 3/4*u**t = 0. What is u?
-1
What is f in -24*f**2 + 123/5*f - 3/5*f**3 + 0 = 0?
-41, 0, 1
Let r(n) be the first derivative of 4*n**5/15 - 47*n**4/4 + 19*n**3 - 17*n**2/3 + 478. Let r(g) = 0. What is g?
0, 1/4, 1, 34
Let h(b) be the first derivative of 1/9*b**3 + 0*b + b**2 - 21. Factor h(r).
r*(r + 6)/3
Let m(i) be the third derivative of -i**5/20 - 7*i**4 - 392*i**3 + 8*i**2 + 8. Determine b so that m(b) = 0.
-28
Suppose -690*r**3 - 296 - 105*r**4 - 828*r**2 - 5*r**5 - 662*r**2 - 109 - 1305*r = 0. Calculate r.
-9, -1
Let s(v) = -4*v**2 - 45*v - 1. Let y(m) = 2*m - 2. Let u(z) = -s(z) - 4*y(z). Determine o so that u(o) = 0.
-9, -1/4
Factor -2*p**2 - 170*p**3 + 3*p + 171*p**3 - p + 2 - 3*p.
(p - 2)*(p - 1)*(p + 1)
Find a such that 0*a - 8*a**3 + 0 + 2/3*a**4 - 26/3*a**2 = 0.
-1, 0, 13
Let a = 5 + -3. Let j(o) = o - o**4 - 9*o**a + 8*o**2 - 5 + 4. Let b(s) = -5*s**4 + 4*s**2 + 2*s - 5. Let d(c) = -b(c) + 2*j(c). Factor d(p).
3*(p - 1)**2*(p + 1)**2
Suppose 72*t - 64*t**3 - 35*t**4 + 80*t**2 + 3*t**5 + 26*t**4 - 62*t**3 + 12*t**5 + 52*t**2 = 0. What is t?
-3, -2/5, 0, 2
Find k such that 1/3*k**2 - 10*k + 75 = 0.
15
Let l = 5 - 32. Let f = 29 + l. Suppose -1/4*n**4 + 1/2*n + 0 - 5/4*n**f - 3*n**3 + n**5 = 0. Calculate n.
-1, 0, 1/4, 2
Let y(n) = -n**2 - 7*n + 690. Let m be y(-30). Suppose -1/3*o + m - 5/3*o**2 - o**3 + 3*o**4 = 0. Calculate o.
-1/3, 0, 1
Factor 13*n**3 + 0 + 29/5*n**2 - 5*n**4 + 3/5*n.
-n*(n - 3)*(5*n + 1)**2/5
Let x(b) be the third derivative of -b**5/630 - 8*b**4/63 + 11*b**3/21 + 16*b**2 + 2. Find z, given that x(z) = 0.
-33, 1
Let a(h) = h. Let r(b) = -3*b**2 - 41*b - 108. Let s(p) = 5*a(p) + r(p). Suppose s(f) = 0. Calculate f.
-6
Let n(m) be the first derivative of 0*m**2 - 1/3*m**4 + 0*m - 1/180*m**6 - 8 - 2*m**3 + 1/15*m**5. Let l(h) be the third derivative of n(h). Factor l(q).
-2*(q - 2)**2
Let x(g) be the first derivative of -g**4/20 - 17*g**3/15 - 21*g**2/5 - 223. What is n in x(n) = 0?
-14, -3, 0
Let k be ((-2)/(-2))/(5/5). Suppose q + k - 4 = 0. Suppose 4*n + q*n**2 - 3*n**2 + 8 + 4*n + 2*n**2 = 0. What is n?
-2
Let t = -148 - -97. Let p be t/(-42) + (-2)/(-7). Factor -3*g + 3/2*g**2 + p.
3*(g - 1)**2/2
Let g(t) = -t**3 - 6*t**2 + 7*t + 4. Suppose 3*x - c = -26, x + 2*c + 27 = 6*c. Let u be g(x). Factor -2*b**4 + 14*b**5 + b**4 - b**3 - 15*b**5 + 3*b**u.
-b**3*(b - 1)**2
Let s(j) be the third derivative of -1/14*j**7 + 5/6*j**3 - 5/336*j**8 - 2*j**2 + 5/8*j**4 + 0 + 0*j - 1/12*j**6 + 1/6*j**5. Factor s(b).
-5*(b - 1)*(b + 1)**4
Let g 