**3/3 - 138*w**2 + 3*w. Find o such that s(o) = 0.
-19, -1
Suppose -3*t + x + 21 = 0, 0 = t - 0*t + 2*x. Suppose 5*k - 5*w = 15, -w = -3*k + 4*w + 11. Determine d so that 0 + 3 + 0 - 6*d + t*d**2 - 1 - k*d**3 = 0.
1
Let i(t) be the second derivative of 0 + 1/14*t**3 - 1/28*t**4 + 0*t**2 - 3/140*t**5 + 1/70*t**6 + 7*t. Find j such that i(j) = 0.
-1, 0, 1
Suppose -3*z + 5*w = -9, -z + 1 = -0*z - w. Let l be -4*(z/(-12) - 2/3). Factor -l + 2*p - 1/2*p**2.
-(p - 2)**2/2
Let j(r) = 8*r**2 + 2*r + 6. Let x be j(4). Suppose 96 = 4*g - 2*f - x, 3*g + 2*f = 175. Factor -4*i + g - 59 + 4*i**2.
4*i*(i - 1)
Let k be 2 + 0 + (7 - 3). Let i(j) = 6*j + 19. Let a be i(k). Factor 2*u**2 - 2*u**4 + 55 - a.
-2*u**2*(u - 1)*(u + 1)
Let w(y) = -3*y**3 + 2*y**2 - 3*y. Let m(b) = 3*b**3 - 3*b**2 + 3*b. Let x(o) = -o**2 - 14*o - 30. Let z be x(-11). Let j(d) = z*w(d) + 4*m(d). Factor j(s).
3*s*(s - 1)**2
Let c = -5069/6 + 2539/3. Factor 0 - 3/2*h - c*h**2.
-3*h*(h + 1)/2
Let t be -1 - 26/(-22) - 1030/(-22). Determine r, given that 3*r**3 - 52*r + 12 + 45*r**2 - 24*r**2 + t*r**2 - 31*r**3 = 0.
3/7, 1
Let j(a) be the second derivative of 7/540*a**6 + 5*a + 0*a**2 + 0 - 7/6*a**3 - 1/18*a**4 - 1/36*a**5. Let g(r) be the second derivative of j(r). Factor g(d).
2*(d - 1)*(7*d + 2)/3
Suppose -5*f + 26 + 9 = 0. Let p(w) be the third derivative of 1/630*w**7 + 0*w**3 - 1/180*w**5 + 0*w + 0*w**6 + f*w**2 + 0*w**4 + 0. Factor p(z).
z**2*(z - 1)*(z + 1)/3
Let j(o) be the first derivative of 1/7*o**3 + 48/7*o + 12/7*o**2 - 3. Find t such that j(t) = 0.
-4
Let m be (-906)/(-72) - (-4)/(-16). Let j = m - 71/6. Find w, given that 1/2*w**3 - j*w**4 + 3/2*w**2 - 1 - 1/2*w = 0.
-1, 1, 2
Let s = 79 + -55. Suppose 4*q = 2*k - 2 + s, -34 = -3*q + 5*k. Let -q*i + 3*i**3 + 6*i**2 + 3*i = 0. What is i?
-2, 0
Let w = -339 - -344. Let l(x) be the second derivative of 0*x**2 + 0*x**5 - w*x - 1/42*x**7 + 0 + 0*x**3 + 0*x**4 + 0*x**6. Factor l(v).
-v**5
Let f(p) = -p**4 + p**2 - p + 1. Let o(x) = 10 - 4 + 10*x**2 + 10*x**3 - 2*x - 4*x. Let l(j) = -12*f(j) + 2*o(j). Determine h so that l(h) = 0.
-1, -2/3, 0
Let g(q) = -q + 1. Let v be g(-6). Suppose -19 - 17 = -3*s. Determine h so that -2*h - 3*h**3 + 24 + s*h**2 + v*h - 41*h + 6*h**2 = 0.
2
Let h(y) be the first derivative of -18 - 1/23*y**2 + 1/46*y**4 + 0*y + 0*y**3. Solve h(q) = 0 for q.
-1, 0, 1
Let x(k) be the second derivative of k**10/45360 - k**8/3360 - k**7/1890 + 2*k**4 - k. Let b(o) be the third derivative of x(o). Factor b(u).
2*u**2*(u - 2)*(u + 1)**2/3
Factor 3*t - t**2 - 3*t**4 + 5*t**2 - t**2 + 12*t**3 - 15*t + 0*t.
-3*t*(t - 4)*(t - 1)*(t + 1)
Factor 7*o - 9*o**2 + 20*o + 170 - 6*o**3 - 89 + 3*o**3.
-3*(o - 3)*(o + 3)**2
Let c = -2/3223 - -9679/16115. Find k, given that -7/5*k**2 - 8/5*k**3 + 0 - c*k**4 - 2/5*k = 0.
-1, -2/3, 0
Factor -6/5*a - 4/5*a**2 + 0 + 2*a**3.
2*a*(a - 1)*(5*a + 3)/5
Find a, given that -28*a**2 - 31*a**2 - 10 + 84*a**2 - 166 + 86*a - 24*a**2 = 0.
-88, 2
Let s = 22 + -17. Let x(a) = -5*a**2 - 18*a. Let o(i) = -10*i**2 - 35*i. Let f(r) = s*x(r) - 3*o(r). Factor f(n).
5*n*(n + 3)
Let c(v) be the second derivative of 2*v**7/21 + 4*v**6/15 - 3*v**5 - 8*v**4/3 + 136*v**3/3 - 96*v**2 - v + 5. Solve c(g) = 0.
-4, -3, 1, 2
Let k(s) be the first derivative of -40/3*s**3 + 22*s**2 + 0*s - s**4 + 45. Factor k(i).
-4*i*(i - 1)*(i + 11)
Find h, given that 2*h**3 + 25*h**2 + 10*h + 36*h**2 - 102*h**2 + 25*h**2 + 100 = 0.
-2, 5
Let o(a) = -34*a**4 - 8*a**3 - 14*a - 14. Let b(j) = 12*j**4 + 3*j**3 + 5*j + 5. Let z(c) = 14*b(c) + 5*o(c). Factor z(t).
-2*t**3*(t - 1)
Let x(i) be the third derivative of -1/588*i**8 + 1/105*i**6 + 0*i + 48*i**2 + 0 + 0*i**3 + 1/70*i**5 - 1/42*i**4 - 1/245*i**7. Find f, given that x(f) = 0.
-2, -1, 0, 1/2, 1
Find n such that -20632*n + 54814*n - 28729*n + 98447*n + 5314683 + 3*n**3 + 27869*n + 1089*n**2 = 0.
-121
Let j(r) be the third derivative of -r**6/300 - r**5/3 + 103*r**4/60 - 52*r**3/15 + r**2 + 8. Factor j(o).
-2*(o - 1)**2*(o + 52)/5
Let o(p) be the second derivative of p**5/20 - 3*p**4/4 + 10*p**3/3 - 6*p**2 + 3*p + 3. Find f, given that o(f) = 0.
1, 2, 6
Let v(r) be the third derivative of r**7/210 - r**6/120 - 2*r**5/5 - 3*r**4/2 + 21*r**2 - 3. Factor v(k).
k*(k - 6)*(k + 2)*(k + 3)
Let h be 0/4 + 1 - (2 + 7). Let n be 99/60 - h/(-20). Find p, given that 0*p**2 + n*p**5 - 9/2*p**4 - p + 0 + 17/4*p**3 = 0.
-2/5, 0, 1, 2
Let c = -92 - -94. Suppose 2*m - c = -q, q + 4 = m - 0*m. Factor -28/3*n**3 + 64/3*n**m + 8/3 - 44/3*n.
-4*(n - 1)**2*(7*n - 2)/3
Let g(a) be the second derivative of -5*a**4/12 + 35*a**3/2 - 56*a - 2. Determine h, given that g(h) = 0.
0, 21
Let m(f) be the first derivative of -2*f**5/65 - 9*f**4/26 - 18*f**3/13 - 27*f**2/13 - 98. Suppose m(z) = 0. What is z?
-3, 0
Suppose -u + 7 = l, 3*l + 4 + 3 = 4*u. Let j(z) = z**4 + 1. Let o(w) = 2*w**5 - 3*w**4 - 2*w**3 - w**2 - 4. Let s(n) = u*j(n) + o(n). Factor s(f).
f**2*(f - 1)*(f + 1)*(2*f + 1)
Let k = -32 + 57. Suppose 2*d = 3*z + k, -6*d = -d - 4*z - 45. Factor 2*r**d + 2*r**2 - r - r**5 - 2*r**4 + 0*r**5.
r*(r - 1)**3*(r + 1)
Let d be (3 - 3)*(-8)/(-8). Let n(y) = y**3 - y**2 - 2*y + 4. Let g be n(d). Factor 5/2*x**2 + 0 - x + 1/2*x**g - 2*x**3.
x*(x - 2)*(x - 1)**2/2
Determine q so that -11*q**2 - 52*q + 34*q - 2*q**4 + q**5 + 10*q**3 + 13*q**4 + 7*q**3 = 0.
-9, -2, -1, 0, 1
Let a(m) be the first derivative of -4/21*m**3 - 2/7*m + 6/35*m**5 - 7 + 4/7*m**2 - 2/7*m**4. Find b such that a(b) = 0.
-1, 1/3, 1
Suppose -4*n + 0 + 72 = 0. Suppose 27*q**3 + 3*q**5 - n*q**4 - 54*q**2 + 54*q**2 = 0. What is q?
0, 3
Let h = 9442 - 9438. Factor 4/7*t**h + 48/7*t**2 - 40/7*t + 12/7 - 24/7*t**3.
4*(t - 3)*(t - 1)**3/7
Let l(t) be the first derivative of 5*t**3 - 288*t**2 + 228*t - 222. Factor l(g).
3*(g - 38)*(5*g - 2)
Suppose 456/7*d - 132/7 - 507/7*d**2 + 9/7*d**4 + 174/7*d**3 = 0. Calculate d.
-22, 2/3, 1
Let f(r) = 45*r**2 + 5*r - 6. Let c(m) = -90*m**2 - 10*m + 11. Let l(k) = 6*c(k) + 11*f(k). Let l(s) = 0. Calculate s.
-1/9, 0
Let k = 5 + 7. Suppose -5*o - 15 = 0, 0 = 3*t + 8*o - 3*o + k. What is y in -21*y**2 + 0 - t + 15*y + 7 = 0?
-2/7, 1
Let v(z) be the third derivative of -z**5/80 - 13*z**4/8 + 165*z**3/8 + 9*z**2 + 10. Determine y, given that v(y) = 0.
-55, 3
Let g(i) be the first derivative of 9*i**6/80 - 3*i**5/20 - i**4/4 + 2*i**3/3 - 4*i**2 + 6. Let h(y) be the second derivative of g(y). Factor h(c).
(3*c - 2)**2*(3*c + 2)/2
Let h(s) be the first derivative of -5*s**3/3 - 90*s**2 - 1620*s + 154. Factor h(c).
-5*(c + 18)**2
Let k(d) = 31*d**2 + 17*d - 11. Let f(b) = b - 1. Let h be f(-2). Let u(i) = 32*i**2 + 16*i - 12. Let m(x) = h*u(x) + 4*k(x). Determine y so that m(y) = 0.
-1, 2/7
Let j(m) be the first derivative of -2*m**6/11 + 31*m**5/55 - 15*m**4/44 + 2*m**3/33 + 27. Suppose j(p) = 0. What is p?
0, 1/4, 1/3, 2
Let s(i) be the second derivative of 169*i**4/30 - 104*i**3/15 + 16*i**2/5 + 16*i. Factor s(o).
2*(13*o - 4)**2/5
Let a(z) = -z**3 - z**2 - 8*z - 12. Suppose 4*x - 8*x + 16 = 0. Let h(d) = d**3 + d**2 + 17*d + 24. Let g(o) = x*h(o) + 7*a(o). Factor g(n).
-3*(n - 2)*(n + 1)*(n + 2)
Let u(j) be the second derivative of j**7/147 - j**6/105 - j**5/14 + j**4/42 + 8*j**3/21 + 4*j**2/7 + 28*j - 1. Factor u(x).
2*(x - 2)**2*(x + 1)**3/7
Determine i, given that -12*i**3 - 20*i**3 - 577*i**4 + 5 + 40*i + 323*i**4 - 8*i**5 - 76*i**2 + 9 + 316*i**4 = 0.
-1, -1/4, 1, 7
Let s(l) be the second derivative of -l**6/1020 - l**5/510 - 4*l**3/3 - l**2 - l - 23. Let g(u) be the second derivative of s(u). Find o such that g(o) = 0.
-2/3, 0
Let h be (1/2)/(-5*(-6)/360). Determine v, given that -23*v**4 + 21*v**3 + h*v**2 + 8*v**4 - v**5 - 11*v**5 = 0.
-2, -1/4, 0, 1
Let p be 0/8*1/2. Factor -27*d**2 + d + 55*d**2 - 27*d**2 + p*d.
d*(d + 1)
Factor -6 + 6*b**4 - 7 + 12*b**2 - 2*b**4 + 7 + 16*b - 16*b**3 - 10.
4*(b - 2)**2*(b - 1)*(b + 1)
Let q(d) be the first derivative of 26 + 0*d**4 + 0*d**3 - 1/20*d**5 + 0*d**2 + 0*d. Factor q(n).
-n**4/4
Let o be ((-15)/(-10))/((-6)/(-8)). Factor -3*v**o - 4*v**3 + 10*v**2 + 6*v**2 - v**2.
-4*v**2*(v - 3)
Suppose 0 - 2/5*r**4 + 8/5*r**2 + 8/5*r**3 + 0*r - 2/5*r**5 = 0. Calculate r.
-2, -1, 0, 2
Let g(m) be the first derivative of -4*m**6/3 - 4*m**5 + 17*m**4 + 92*m**3/3 - 102*m**2 + 72*m +