 a**6/60 + 7*a**5/30 + 11*a**4/12 + 5*a**3/3 - 12*a**2. Let o(c) = 0. Calculate c.
-5, -1
Let q(o) = -o**2 + 9*o - 5. Let x be q(8). Let w(f) be the first derivative of -3/16*f**4 + 1 + 3/8*f**2 - 1/2*f + 1/6*f**x. Factor w(c).
-(c - 1)*(c + 1)*(3*c - 2)/4
Let g(u) be the second derivative of u**4/48 - u**2/8 - 7*u. Suppose g(z) = 0. What is z?
-1, 1
Let a = -13 - -18. Suppose -6 + 4 + a*n**2 - 3*n**2 = 0. Calculate n.
-1, 1
Let u(f) = -f - 3 - 2 - 4*f - 4*f**2 - f**2 + 2*f**3 + 2*f**4. Let g(z) = z**4 + z**3 - 2*z**2 - 2*z - 2. Let k(i) = -5*g(i) + 2*u(i). Solve k(y) = 0 for y.
-1, 0
Suppose -5*p - b + 15 = 0, -3*p = -8*p + 5*b + 15. Suppose -p + 11 = 2*c. Suppose 0*x + 24*x**3 - 6*x**2 - x - 14*x**c - x - 2*x = 0. Calculate x.
-2/7, 0, 1
Suppose s = -2*z - 8, 0 = -s - 4*s + 2*z - 52. Let g be (-5)/s + 14/4. What is n in -1/4 - 1/4*n**5 + 3/4*n**g - 1/2*n**2 + 3/4*n - 1/2*n**3 = 0?
-1, 1
Let i(j) = 4*j**4 + 2*j**3 - 4*j - 2. Let q(x) = -x**4 - x**2 + x + 1. Let s(b) = -i(b) - 2*q(b). Suppose s(h) = 0. What is h?
-1, 0, 1
Let b(x) be the first derivative of x**6/16 + x**5/10 - 13*x**4/32 - 3*x**3/4 + x**2/4 + x - 5. Find g such that b(g) = 0.
-2, -1, 2/3, 2
Let i(r) be the first derivative of 0*r + 4 - 2/27*r**3 + 1/9*r**2. Factor i(b).
-2*b*(b - 1)/9
Let o(f) be the first derivative of -2*f - 4 + 2/3*f**2 - 2/27*f**3. What is d in o(d) = 0?
3
Factor -25/3*v**2 + 0 - 2*v - 4/3*v**3.
-v*(v + 6)*(4*v + 1)/3
Factor 24*x - x**4 + 25*x**3 + 2 - 2*x**5 + 6 - 5*x**4 - 23*x**3 + 22*x**2.
-2*(x - 2)*(x + 1)**3*(x + 2)
Let b(q) be the second derivative of -q**8/1680 + q**7/420 + q**3 - 5*q. Let i(h) be the second derivative of b(h). Factor i(u).
-u**3*(u - 2)
Suppose -k - 5*k - k + 5*k - 2*k**2 + 4 = 0. Calculate k.
-2, 1
Let -32*k + 20*k**2 + 15*k**4 + 20*k**3 - 8*k + 30*k**3 = 0. What is k?
-2, 0, 2/3
Let i(u) = 4*u**2 - 6*u - 8. Let j(c) = 20*c**2 - 31*c - 40. Let d = 18 + -7. Let w(x) = d*i(x) - 2*j(x). What is r in w(r) = 0?
-1, 2
Let t(m) be the third derivative of m**5/210 + m**4/84 - 2*m**3/21 - 7*m**2. Factor t(k).
2*(k - 1)*(k + 2)/7
Let b(g) be the first derivative of -g**5/20 + g**4/4 - g**3/2 - 4*g**2 - 8. Let z(u) be the second derivative of b(u). Solve z(c) = 0 for c.
1
Let u(o) be the first derivative of 6*o**5/5 + o**4/3 - 6*o**3 + 4*o**2 + 8*o/3 + 7. Let u(a) = 0. Calculate a.
-2, -2/9, 1
Let v be ((-3)/(-2))/(3/4). Suppose 2 + h**2 - 4*h + 0 - 2*h**2 + 3*h**v = 0. Calculate h.
1
Suppose -2*q + 4 + 6 = 2*x, -16 = -5*q - 2*x. Find b such that 0*b**3 + b**2 + q*b**2 - 3*b**3 = 0.
0, 1
Let j(n) be the first derivative of -81*n**6/2 + 378*n**5/5 - 39*n**4/4 - 28*n**3 - 6*n**2 - 19. Factor j(o).
-3*o*(o - 1)**2*(9*o + 2)**2
Suppose -y - 4 = -3*i, -4*i + 2*y + 5 = -3. Let w(b) be the third derivative of 1/180*b**5 + 0*b + i - b**2 - 1/36*b**4 + 1/18*b**3. Factor w(j).
(j - 1)**2/3
Let k(b) = -347*b - 1. Let h be k(5). Let l = 12172/7 + h. Determine w so that -l*w**3 - 2/7*w**5 - 20/7*w**2 - 10/7*w - 10/7*w**4 - 2/7 = 0.
-1
Let z(q) be the third derivative of q**5/390 - q**4/26 + 3*q**3/13 + 4*q**2. Solve z(h) = 0.
3
Suppose -4 = -5*j + 6. Let g be (4 - 160/44)/j. Factor 0*x + 0 - g*x**4 + 6/11*x**3 - 4/11*x**2.
-2*x**2*(x - 2)*(x - 1)/11
Let y(h) = -h + 6. Let k be y(3). Suppose 0 = -x - 1 + k. Factor -1/4*g + 1/2*g**x - 1/4*g**3 + 0.
-g*(g - 1)**2/4
Let k(f) be the third derivative of 0*f - 2/27*f**3 - 1/36*f**4 + 0 - 1/270*f**5 - 9*f**2. Determine u, given that k(u) = 0.
-2, -1
Let h(s) = -s**3 + 2*s**2 + 3*s + 5. Let y be h(0). Suppose -17 = -3*u + 4*c, 5*u + 3*c - 25 = 8*c. Factor 0 + 2/5*w + 0*w**u + 4/5*w**2 - 2/5*w**y - 4/5*w**4.
-2*w*(w - 1)*(w + 1)**3/5
Let m(y) = y**3 - y + 1. Let l(z) = -7*z**3 - 6*z**2 - z - 7. Let v = 9 - 8. Let d(q) = v*l(q) + 5*m(q). Determine h so that d(h) = 0.
-1
Let 4*l**3 + 2*l**2 + 12*l**3 - 12*l**3 + 2*l**4 = 0. Calculate l.
-1, 0
Factor -21/4*m - 3/2 + 27/4*m**2.
3*(m - 1)*(9*m + 2)/4
Suppose -3 = -3*p + 9. Let j(b) be the second derivative of 1/2*b**2 + 0 - b - 1/12*b**p + 0*b**3. Solve j(a) = 0.
-1, 1
Factor -y**3 - y**2 + 4 - 2*y**3 - 4*y + 3*y**3 + y**3.
(y - 2)*(y - 1)*(y + 2)
Let u = -9/14 + 73/70. Let y(w) be the first derivative of u*w**4 + 6/5*w**3 + 2/5*w - 2 + 6/5*w**2. What is t in y(t) = 0?
-1, -1/4
Let u(y) be the first derivative of -2 + 0*y - 1/6*y**3 + 0*y**4 + 1/10*y**5 + 0*y**2. Determine m, given that u(m) = 0.
-1, 0, 1
Let q(i) be the third derivative of 3*i**7/70 + i**6/5 + 3*i**5/10 - i**3/2 - 8*i**2. Let q(v) = 0. Calculate v.
-1, 1/3
Suppose 15*w - 8 - 8 - 1350*w**2 - 3375*w**3 + 8 - 195*w = 0. What is w?
-2/15
Let y(h) = 3*h**2 - 3*h - 5. Let r be y(-2). Suppose -l + o + r = 2*l, -2*o - 11 = -l. Factor -1/3*t**l - 1/3*t**4 + 0 + 1/3*t + 1/3*t**2.
-t*(t - 1)*(t + 1)**2/3
Let n be 8/5 + (-54)/(-135). Factor -7/5*d**3 - 2/5*d**n + 0*d + 0.
-d**2*(7*d + 2)/5
Suppose 3*k = -7 + 43. Let y be -2*-2*1/k. Determine u, given that y*u**2 + 1/3*u**3 + 0 - 1/3*u**5 - 1/3*u**4 + 0*u = 0.
-1, 0, 1
Let i(j) = -3*j**3. Let n be i(-1). Suppose n*b = -2*b + 40. Factor b - 4 - 3 - q**2.
-(q - 1)*(q + 1)
Let n be (-6)/(-27) - (1 - (-34)/(-9)). Let f(r) be the first derivative of 1/14*r**4 + 2 + 0*r + 8/21*r**n + 4/7*r**2. Solve f(l) = 0.
-2, 0
Let j(r) = -5*r**4 + 55*r**3 - 35*r**2 + 15*r - 10. Let s(o) = 2*o**4 - 18*o**3 + 12*o**2 - 5*o + 3. Let i(t) = -3*j(t) - 10*s(t). Factor i(n).
-5*n*(n - 1)**3
Let n = 878/3 - 290. Let m = 617/3 + -203. Factor n*r + 2/3*r**2 + m.
2*(r + 2)**2/3
Let v = -36/11 + 202/55. Factor 4/5 + 2*i - 2/5*i**3 + 6/5*i**2 - v*i**4.
-2*(i - 2)*(i + 1)**3/5
Let w = -9 - -12. Let l(o) be the first derivative of 2 + 2/9*o**2 + 2/9*o + 2/27*o**w. Factor l(g).
2*(g + 1)**2/9
Let 284*n**2 - 4*n**3 - 4*n**4 - 296*n**2 + 16*n**3 + 4*n = 0. What is n?
0, 1
Suppose -10 = 5*q - 35. Suppose x - 4 = -2*t, -4*x = 4*t - 9 - 3. Determine c, given that -2/3*c**q - 4/3*c + 0 + 2/3*c**x + 2*c**3 - 2/3*c**4 = 0.
-2, -1, 0, 1
Find z such that 2/3*z**3 - 4/3*z**2 - 2/3*z + 4/3 = 0.
-1, 1, 2
Let w(t) be the second derivative of -7*t**6/285 - 3*t**5/5 - 80*t**4/19 - 128*t**3/57 - 30*t. Factor w(h).
-2*h*(h + 8)**2*(7*h + 2)/19
Let s(p) = 60*p**3 + 8*p**2 + 5. Let j(c) = -60*c**3 - 8*c**2 - 4. Let x(y) = 5*j(y) + 4*s(y). Factor x(v).
-4*v**2*(15*v + 2)
Let q(f) be the third derivative of f**7/315 - f**6/45 + 2*f**5/45 - 4*f**2. What is u in q(u) = 0?
0, 2
Let p(u) be the third derivative of u**5/90 + u**4/36 - 3*u**2. Solve p(a) = 0.
-1, 0
Let d(t) = -21*t**2 - 30*t + 6. Let s(o) = -o**2 - o + 1. Let x(m) = -d(m) + 18*s(m). Solve x(c) = 0 for c.
-2
Factor -4/7 + 2/7*k**2 - 2/7*k.
2*(k - 2)*(k + 1)/7
Suppose 15 = 4*t - o + 2*o, 5*t = o + 30. Let b(r) = -3*r**2 + 4*r + 2. Let h(p) = -p**2 + 2*p + 1. Let m(s) = t*h(s) - 2*b(s). Factor m(g).
(g + 1)**2
Let q(t) be the second derivative of t**4/114 - t**3/19 + 2*t**2/19 - 9*t. Factor q(c).
2*(c - 2)*(c - 1)/19
Let m(q) = -14*q**3 - 11*q**2 + q. Let t(p) = 15*p**3 + 12*p**2. Let b(o) = -3*m(o) - 2*t(o). Solve b(v) = 0 for v.
-1, 0, 1/4
Determine n so that 20*n + 200 + 1/2*n**2 = 0.
-20
Suppose 0 = 4*v, 5*v + 17 = i + 4. Let b be 24/i - 8/(-52). Find t, given that 2/7*t**b - 8/7*t + 8/7 = 0.
2
Let t(r) = -r**2 - 6*r + 9. Let j be t(-7). Factor 0*n**2 + j*n**3 + n**3 - 2*n + n**2 - 2*n**3.
n*(n - 1)*(n + 2)
Let o(u) = -2*u**3 - u**2 + 2*u + 1. Let k(j) = -2*j**3 - 2*j**2 + 2*j + 2. Let t(b) = 3*k(b) - 4*o(b). Factor t(d).
2*(d - 1)**2*(d + 1)
Let q(l) be the third derivative of -l**5/150 + l**4/60 + 2*l**3/15 - 3*l**2. Factor q(g).
-2*(g - 2)*(g + 1)/5
Let w be -2 + (0 - 3/1) + 11. Let o(r) be the third derivative of 0*r**3 + 0 - 1/240*r**w + 2*r**2 + 0*r**4 - 1/120*r**5 + 0*r. Determine h so that o(h) = 0.
-1, 0
Factor 36*s**3 + s**2 - 9*s**2 - 28*s**4 + 0*s**3.
-4*s**2*(s - 1)*(7*s - 2)
Let g(d) be the second derivative of d**5/80 - d**3/8 + d**2/4 - 2*d. Determine y so that g(y) = 0.
-2, 1
Let y(o) be the first derivative of -2*o**5/5 - o**4/2 + 2. Suppose y(c) = 0. Calculate c.
-1, 0
Factor -25 + 20*h**2 - 17 + 12*h + 6 + 4*h**3.
4*(h - 1)*(h + 3)**2
Let 9/2*i**2 - 1/2*i**3 - 25/2 - 15/2*i = 0. Calculate i.
-1, 5
Let m = 17 - 12. Suppose -11*f**5 - m*f**3 + 24*f**4 + f**2 - 5*f**5 - 4*f**3 = 0. What is f?
0, 1/4, 1
Let q be 3 - (-6)/(-30)*(-1 - -1