ive of -3*b**4/8 + 2*b**3 - 3*b**2 + 14. Factor y(q).
-3*q*(q - 2)**2/2
Let 3*m**3 - 13*m + 9*m - 3 + 13*m - 9*m**2 = 0. What is m?
1
Let w = 63937/72 - 888. Let a(i) be the third derivative of -2*i**2 - w*i**4 + 0 - 1/60*i**6 + 0*i - 1/1008*i**8 - 2/315*i**7 - 1/45*i**5 + 0*i**3. Factor a(u).
-u*(u + 1)**4/3
Let n(b) = 5*b**2 - 7*b - 2. Let g(h) = -11*h**2 + 15*h + 5. Let s(x) = -4*g(x) - 9*n(x). Let s(a) = 0. What is a?
1, 2
Let y = 3 - 2. Suppose 14 + y = 5*t. Suppose 0 + 2/9*w + 2/9*w**t + 4/9*w**2 = 0. Calculate w.
-1, 0
Let p(y) = y + 1. Let s(u) = u - 1. Let x(n) = -2*n**2 - 16*n - 24. Let f(l) = 4*s(l) - x(l). Let g(c) = -f(c) + 12*p(c). Find d such that g(d) = 0.
-2
Let c be 4/3 + 7/(-21). Let g = c - -9. Determine z so that -g*z + 14*z**3 - 2*z**4 + 3 + 4*z**2 - 7*z**5 + 3*z + 0 - 5 = 0.
-1, -2/7, 1
Find d such that 33 - 63*d**2 - 212*d - 273 + 572*d + 3*d**3 - 60 = 0.
1, 10
Let k(s) be the third derivative of 3*s**7/70 - s**6/10 - s**5/4 + s**4/4 + 2*s**2 - 7. Determine j so that k(j) = 0.
-1, 0, 1/3, 2
Determine k, given that 0 + 0*k**2 - 4/3*k**4 + 4/3*k**3 + 1/3*k**5 + 0*k = 0.
0, 2
Factor 5*v**3 - 10*v**4 + 0*v**4 + 20*v**5 - 15*v**4 + 0*v**4.
5*v**3*(v - 1)*(4*v - 1)
Let w = 98/5 - 94/5. Determine j so that -6/5*j + 4/5 - w*j**2 = 0.
-2, 1/2
Let o be (4/(-36))/((-2)/6). Suppose -16 = -2*g - 3*f, g + 3*g = -2*f + 16. Determine v, given that 2/3*v + 0 + o*v**g = 0.
-2, 0
Let w(r) be the second derivative of r**5/210 - r**4/42 - r**3/7 - r**2 + 3*r. Let a(v) be the first derivative of w(v). Factor a(b).
2*(b - 3)*(b + 1)/7
Let m(j) = j**2 - 9*j + 10. Let f be m(8). Let w(a) = -2*a. Let v be w(0). Determine o so that 2*o**3 + 2/3*o**2 + 2/3*o**5 + v*o + 0 + f*o**4 = 0.
-1, 0
Suppose 2*t = -2*t + 8. Suppose 2*v + w - t = 0, 0*w + 2*w = 0. Determine k, given that -v + 1 - 7*k**3 + 5*k**3 = 0.
0
Let o(r) be the first derivative of -r - 1/2*r**2 + 1/2*r**4 - 1/6*r**6 + 2/3*r**3 - 1/5*r**5 - 2. What is y in o(y) = 0?
-1, 1
Let x = 42611/5 - 8486. Let t = 1307/35 - x. Factor 0 - t*g**4 - 12/7*g**3 - 2/7*g - 2/7*g**5 - 8/7*g**2.
-2*g*(g + 1)**4/7
Factor -9/5 + 3*a + 1/5*a**3 - 7/5*a**2.
(a - 3)**2*(a - 1)/5
Let n(u) be the first derivative of -21*u**4/4 - 5*u**3 + 3*u**2 + 11. Solve n(q) = 0.
-1, 0, 2/7
Let s(j) = j**2 - 10*j - 7. Let t be s(11). Factor 11*d + 16 + 5*d**2 - t*d**2 - d - 2*d.
(d + 4)**2
Let d(u) be the second derivative of 0*u**3 + 1/15*u**6 + 3*u + 1/21*u**7 - 1/5*u**5 + 0*u**2 + 0 + 0*u**4. Determine v so that d(v) = 0.
-2, 0, 1
Let q(l) = l**3 - 2*l**2 + 3*l - 1. Suppose -20 = -4*r - 4*b, 5*r - 5 - 11 = -2*b. Let f be q(r). Factor 2 + 5*m - 3*m**2 + f*m**2 - m.
2*(m + 1)**2
Let g(k) be the second derivative of k**7/1540 + k**6/330 + k**5/165 + k**4/3 - 3*k. Let l(v) be the third derivative of g(v). Factor l(u).
2*(3*u + 2)**2/11
Suppose -3*p + 13 = 4*w - 2*p, -2*w = 3*p - 9. Suppose a - 50 = w*j - 6*j, 2*a = 5*j - 76. Factor -4*g**3 + 24*g + 2*g**4 + j*g**3 + 13*g**2 + 13*g**2 + 8.
2*(g + 1)**2*(g + 2)**2
Let h(g) be the third derivative of g**5/210 - g**4/84 - 2*g**3/21 + 7*g**2. Determine t, given that h(t) = 0.
-1, 2
Suppose 26 = 13*p - 0*p. Factor -4/7 + 2/7*v + 2/7*v**p.
2*(v - 1)*(v + 2)/7
Let p(v) be the first derivative of v**3/2 + 3. Factor p(n).
3*n**2/2
Let z(y) be the second derivative of 2*y**6/35 + y**5/5 + 2*y**4/21 - 3*y - 6. Let z(f) = 0. Calculate f.
-2, -1/3, 0
Let 14/9*b + 4/9 + 2*b**2 + 2/9*b**4 + 10/9*b**3 = 0. Calculate b.
-2, -1
Let h(z) be the third derivative of z**6/210 + 9*z**2. Factor h(o).
4*o**3/7
Let z(m) be the third derivative of m**5/150 - m**4/30 + m**3/15 - 14*m**2. Let z(a) = 0. Calculate a.
1
Let s = 1121/3948 + 1/564. Find d, given that -2/7*d**3 + 4/7 + s*d + 2/7*d**4 - 6/7*d**2 = 0.
-1, 1, 2
Let b(g) = -g**3 - 5*g**2 + 6*g - 1. Let s be b(-6). Let u = s - -3. Let -4*d**u + d**2 + d**2 = 0. What is d?
0
Let -12*w**2 + 3*w**2 - 2*w**3 - 6*w + w**3 - 3*w**3 - 1 = 0. Calculate w.
-1, -1/4
Let i(d) be the first derivative of -d**4/6 + 2*d**3/27 + 2*d**2/9 + 4. Factor i(j).
-2*j*(j - 1)*(3*j + 2)/9
Suppose 76 = -5*i + l, 2*i - 5*l = -4*l - 31. Let w be 3/i*(-5)/2. Solve w*u**2 + 1/2 + u = 0 for u.
-1
Let o(i) be the second derivative of -2*i**2 + i**3 - 1/6*i**4 + 0 + i. Let o(q) = 0. Calculate q.
1, 2
Let l(o) be the third derivative of -o**5/330 + o**4/132 + 2*o**3/33 - 7*o**2. Determine u, given that l(u) = 0.
-1, 2
Find f such that -f**2 - 11*f**2 + 4*f + 7*f**4 - 4*f**3 - 5*f**3 = 0.
-1, 0, 2/7, 2
Let u = -39 - -41. Solve 2/5*m - 2/5*m**3 + 2/5 - 2/5*m**u = 0 for m.
-1, 1
Let c(k) be the third derivative of k**6/80 - k**5/60 - k**4/16 + k**3/6 + 3*k**2. Factor c(t).
(t - 1)*(t + 1)*(3*t - 2)/2
Let h(q) be the third derivative of 0*q**4 - 1/1008*q**8 + 1/180*q**6 - 1/630*q**7 - q**2 + 0*q**3 + 0*q + 0*q**5 + 0. Factor h(g).
-g**3*(g - 1)*(g + 2)/3
Let y(i) be the first derivative of -i**5/20 + i**4/6 - i**3/6 + i - 3. Let u(s) be the first derivative of y(s). Determine x, given that u(x) = 0.
0, 1
Let o(v) = -6*v**2 + 122*v + 44. Let d(j) = -19*j**2 + 367*j + 132. Let y(z) = -6*d(z) + 17*o(z). Factor y(w).
4*(w - 11)*(3*w + 1)
Suppose -4*y + 71 + 85 = 0. Let v(u) = -u**2 + 3*u + 2. Let k(m) = -7*m**2 + 19*m + 13. Let p(i) = y*v(i) - 6*k(i). Factor p(c).
3*c*(c + 1)
Find s, given that 9*s**2 - 4*s**2 + 16*s - 12 - 9*s**2 = 0.
1, 3
Find l such that 6*l - 4*l + l**3 + 0*l - 3*l**2 = 0.
0, 1, 2
Let v = -71 + 73. Factor 4/7 - 2/7*h - 2/7*h**v.
-2*(h - 1)*(h + 2)/7
Factor 0*i + 3*i**2 - 5*i + 6 + 5*i - 9*i.
3*(i - 2)*(i - 1)
Let m(h) be the first derivative of -h**5/180 + h**4/24 - h**3/9 + h**2 - 3. Let k(p) be the second derivative of m(p). Factor k(f).
-(f - 2)*(f - 1)/3
Let c(v) be the second derivative of 10*v**7/21 + v**6/2 - 9*v**5/4 + 5*v**4/6 - 24*v. Solve c(g) = 0 for g.
-2, 0, 1/4, 1
What is h in h**2 + 2/7*h**3 - h**4 - 2/7*h + 0 = 0?
-1, 0, 2/7, 1
Let w = -9 - -11. Let r be w/3 - (-4)/(-15). Solve r*u**4 - 2/5*u - 6/5*u**3 + 0 + 6/5*u**2 = 0.
0, 1
Let q(s) = -6*s**2 + 15*s. Let n(y) = 5*y**2 - 14*y. Let d(o) = -3*n(o) - 2*q(o). Factor d(k).
-3*k*(k - 4)
Let z(q) be the third derivative of q**5/135 + q**4/27 + 2*q**3/27 + 12*q**2. Factor z(u).
4*(u + 1)**2/9
Let v be 15/(-6) + 3 + 0. What is c in 0 + 1/2*c + v*c**3 + c**2 = 0?
-1, 0
Let f(n) be the third derivative of -n**5/75 + 2*n**4/15 - 8*n**3/15 + 8*n**2. Suppose f(g) = 0. What is g?
2
Let t be (-2 - -3)*0/(-3). Suppose 0 = p - t*p. Factor -2/9*w**3 + 0*w**2 + 2/9*w + p.
-2*w*(w - 1)*(w + 1)/9
Let h(b) = -b**2 - b. Let c(k) = -k**2 - 36*k. Let p(j) = c(j) - 6*h(j). Suppose p(t) = 0. What is t?
0, 6
Suppose -158 = -3*n - 2*r, 3*n - 5*r - 118 = n. Determine f so that 2 - n*f**2 - 112*f**3 + 2*f + 2*f + 4*f + 160*f**4 - 4*f = 0.
-1/4, 1/5, 1
Suppose 0 = -3*a + 6*a + 6. Let x be 0 + a + (1 - -1). Factor -6/7*m**2 - 2/7*m**3 + x - 4/7*m.
-2*m*(m + 1)*(m + 2)/7
Let m = 40 - 26. Let -15*r**2 + 3*r**2 + 4*r**2 - m*r + 4 = 0. Calculate r.
-2, 1/4
Let u(t) = -6*t**5 - 5*t**4 + 12*t**3 + 7*t**2 - 17*t - 8. Let y(s) = -s**5 - s**4 + s**3 + s**2 - s. Let x(n) = u(n) - 5*y(n). Factor x(k).
-(k - 2)**2*(k + 1)**2*(k + 2)
Factor -2*h**4 - 292*h**3 + 145*h**3 + 2*h**2 + 151*h**3 - 4*h.
-2*h*(h - 2)*(h - 1)*(h + 1)
Let n(o) be the first derivative of o**7/840 - o**6/240 + o**5/240 + 2*o**2 + 4. Let v(i) be the second derivative of n(i). Factor v(c).
c**2*(c - 1)**2/4
Suppose 4*r - 2*m = 14, 0*r - 3*m - 5 = -2*r. Let n(z) be the second derivative of -2/3*z**3 + 0*z**r - 1/15*z**6 - z + 0 + 1/5*z**5 + z**2. Factor n(i).
-2*(i - 1)**3*(i + 1)
Let z(g) = 2*g**2 + 7*g - 8. Let s(w) = -w**2 - 3*w + 4. Let c(t) = 7*s(t) + 3*z(t). Factor c(y).
-(y - 2)*(y + 2)
Find a, given that 0 + 5/4*a**3 + 0*a + 3/2*a**2 + 1/4*a**4 = 0.
-3, -2, 0
Let p(i) be the third derivative of i**8/168 + i**7/105 - i**6/30 - i**5/15 + i**4/12 + i**3/3 - 25*i**2. Factor p(q).
2*(q - 1)**2*(q + 1)**3
Let v(k) be the first derivative of -k**5/20 - k**4/8 - k**3/12 + 2. Determine a, given that v(a) = 0.
-1, 0
Let p(s) be the second derivative of -s**4/12 + 4*s**3/3 - 2*s**2 - 6*s. Let y be p(7). Factor i**y + 1/2*i**4 + 0*i + 1/2*i**2 + 0.
i**2*(i + 1)**2/2
Suppose p = 4*t - p - 14, p = 5*t - 13. Suppose -2*b - 2*x = 0, b + t*x = -4 + 3. Factor 26 + 18*z + 2*z**2 + b +