**3 - 1/2*o**f + 0*o**2 + 1/2 + o = 0. Calculate o.
-1, 1
Let v(h) be the second derivative of -15*h - 1/12*h**4 + 0*h**2 + 1/3*h**3 + 0 - 1/20*h**5. Solve v(r) = 0 for r.
-2, 0, 1
Let b(q) be the second derivative of -2/5*q**5 + 0*q**3 + 0*q**4 + 0*q**2 + 2/3*q**6 + 0 + 11*q. Factor b(y).
4*y**3*(5*y - 2)
Let a(b) = -4*b + 20. Let v be a(4). Suppose 0 = 2*i + 2*u, 4*i + 2 = i - v*u. Find s, given that 1/3*s**i - 2/3*s + 0 = 0.
0, 2
Let f(l) be the second derivative of -l**7/840 - l**6/160 + l**5/240 + l**4/32 - 15*l**2 + 28*l. Let q(y) be the first derivative of f(y). Factor q(o).
-o*(o - 1)*(o + 1)*(o + 3)/4
Let 41*t**2 - 171*t**2 + 5*t**4 + 250 + 74*t - 115*t**3 - 42*t**2 - 83*t**2 + 41*t = 0. What is t?
-2, -1, 1, 25
Let u = 20345 + -20345. Determine v so that -1/5*v + 1/5*v**2 + u = 0.
0, 1
Let p(g) be the first derivative of -1/30*g**5 + 0*g - 3*g**2 + 1 - 1/6*g**4 + 0*g**3. Let t(a) be the second derivative of p(a). Suppose t(z) = 0. Calculate z.
-2, 0
Let a(k) = -5*k - 56. Let q be a(-12). Let i be (-10*7/(-308))/(1/q). Find t, given that i + 8/11*t**2 + 42/11*t = 0.
-5, -1/4
Suppose 4*d = -0 + 28. Suppose d*j = 6*j + 16. Factor 1 - 4*g - 24*g**3 - 6*g**4 - j*g**2 - 4*g**5 - 1 - 10*g**4.
-4*g*(g + 1)**4
Let c = 309/140 + 39/28. Factor 6*h**2 + 22/5*h**3 + 6/5*h**4 + 4/5 + c*h.
2*(h + 1)**3*(3*h + 2)/5
Let y(l) be the first derivative of 88*l**2 + 21 + 152/9*l**3 + 96*l + l**4. Suppose y(c) = 0. What is c?
-6, -2/3
Let h(n) = 7*n**2 + 77*n - 44. Let g(v) = 6*v**2 + 76*v - 50. Let w(o) = 5*g(o) - 4*h(o). Solve w(y) = 0 for y.
-37, 1
Let x(b) be the third derivative of 0*b**3 + 0*b + 0 + 0*b**6 - 21*b**2 - 3/280*b**7 + 0*b**4 + 1/448*b**8 + 1/20*b**5. Let x(g) = 0. What is g?
-1, 0, 2
Factor 2/9*x**2 - 424/9*x + 22472/9.
2*(x - 106)**2/9
Let v(x) be the second derivative of -12*x + 1/36*x**4 - 5/18*x**3 + 2/3*x**2 + 0. Find i, given that v(i) = 0.
1, 4
Let l be (-5360)/(-44) + -1 - -2. Let a = 123 - l. What is p in 30/11*p + 18/11 + 14/11*p**2 + a*p**3 = 0?
-3, -1
Let j be (-6)/(-9)*(105/20)/7. Let z = 77/26 + -6/13. Factor -3/2 - 1/2*v**3 + z*v - j*v**2.
-(v - 1)**2*(v + 3)/2
Suppose 1 + 4 = o. Let l = 65/31 + -99/62. Suppose -l*h**3 - 2*h + 5/2*h**o + 0 + 6*h**4 - 6*h**2 = 0. Calculate h.
-2, -1, -2/5, 0, 1
Suppose 3*s + 2*l - 68 = 0, 3*l - 3 = -9. Let h = 17543/18 - 8758/9. Factor -12*u - h*u**2 - s.
-3*(u + 4)**2/2
Let h = 9322/27 - 6130/27. Let o = h - 118. Determine d, given that 2/9*d**2 - o*d**3 + 4/9*d + 0 = 0.
-1, 0, 2
Let c(u) be the second derivative of u**6/15 + u**5/2 - u**4/2 - 13*u**3/3 + 10*u**2 - 86*u. Factor c(z).
2*(z - 1)**2*(z + 2)*(z + 5)
Let s(y) be the first derivative of 2*y**3/27 + 112*y**2/9 + 6272*y/9 + 70. Suppose s(b) = 0. Calculate b.
-56
Factor -88*h**2 - 125*h**3 - 5*h**5 - 80*h + 5*h**3 + 35*h**2 - 40*h**4 - 107*h**2.
-5*h*(h + 2)**4
Let u(b) be the second derivative of -7*b**4/6 - 3*b**2 - 15*b. Let h(o) = -o**2 - 1. Let n(y) = 10*h(y) - u(y). Solve n(m) = 0.
-1, 1
Let 56/17 - 58/17*h + 2/17*h**2 = 0. Calculate h.
1, 28
What is b in b**4 - 36*b**3 + 240*b**2 - 17*b**4 - 2*b**5 + 576*b - b**5 - 8*b**4 - 3*b**4 = 0?
-4, 0, 3
Determine c, given that 6*c - 32/5 + 2/5*c**2 = 0.
-16, 1
Let z(p) be the third derivative of -p**7/150 - 11*p**6/150 + 31*p**5/100 - 13*p**4/60 - 8*p**3/15 + 2*p**2 - 2. Suppose z(d) = 0. Calculate d.
-8, -2/7, 1
Find m, given that 2/15*m**2 - 76/5*m + 2166/5 = 0.
57
Factor -4*q - 2*q**2 - 14*q + 4*q + 14 + 2*q.
-2*(q - 1)*(q + 7)
Solve -1/7*t**3 + 0 + 2/7*t**2 + 24/7*t = 0 for t.
-4, 0, 6
Let d(g) be the second derivative of 1/66*g**4 + 0*g**2 - 3*g + 1/33*g**3 - 1/165*g**6 + 0 - 1/110*g**5. Factor d(x).
-2*x*(x - 1)*(x + 1)**2/11
Let 3/5*i**3 - 63/5*i**2 + 54/5*i + 24 = 0. What is i?
-1, 2, 20
Let 2/17*n**3 - 10/17*n + 12/17 - 4/17*n**2 = 0. Calculate n.
-2, 1, 3
Let i(r) be the third derivative of 1/140*r**5 + 8/7*r**3 + 0*r - 5/28*r**4 - 21*r**2 + 0. Factor i(y).
3*(y - 8)*(y - 2)/7
Let l(t) be the first derivative of t**6/9 + t**5/6 - t**4/8 - 5*t**3/18 - t**2/12 - 351. Solve l(f) = 0 for f.
-1, -1/4, 0, 1
Solve -18/5*w**4 + 58/5*w - 8/5 + 102/5*w**3 - 134/5*w**2 = 0 for w.
1/3, 1, 4
Determine h, given that -2/5*h**2 + 196/5 - 14/5*h = 0.
-14, 7
Suppose -4*m + 5*j + 23 = 0, -2*m - 4*j - j - 11 = 0. Let b(n) be the third derivative of 1/30*n**4 + 1/150*n**5 + 0 + 5*n**m + 0*n + 0*n**3. Factor b(a).
2*a*(a + 2)/5
Suppose 0*i + 0 + 11/4*i**3 - 1/4*i**2 + 13/2*i**4 = 0. Calculate i.
-1/2, 0, 1/13
Let o(r) be the second derivative of -2*r**5/5 - r**4/3 + 10*r**3/3 - 4*r**2 + 4*r - 2. What is b in o(b) = 0?
-2, 1/2, 1
Let c(z) be the first derivative of -18/13*z + 0*z**2 + 28 + 2/39*z**3. Factor c(m).
2*(m - 3)*(m + 3)/13
Let m = 36729 - 36725. Factor -11/3 - 4*z + 10/3*z**2 + 1/3*z**4 + m*z**3.
(z - 1)*(z + 1)**2*(z + 11)/3
Determine o so that 35/3*o**5 - 24*o - 41*o**4 - 32/3 + 46/3*o**3 + 164/3*o**2 = 0.
-1, -2/7, 4/5, 2
Let f(t) be the second derivative of t**6/10 + 33*t**5/20 + 6*t**4 - 18*t**3 + 96*t - 1. Let f(v) = 0. Calculate v.
-6, 0, 1
Let d(n) be the third derivative of 0 + 0*n - 1/480*n**6 - 1/6*n**3 + 1/240*n**5 - n**2 + 1/24*n**4. Factor d(i).
-(i - 2)*(i - 1)*(i + 2)/4
Suppose 0 = 5*t - b + 33, -4*b - 7 = -3*t - 20. Let s be (-7 + (-405)/(-63))*t/6. Solve 10/9*l**2 - 4/9 + s*l = 0 for l.
-1, 2/5
Factor 10*t**3 - 11*t + 5*t**2 - 36*t + 5*t**2 - 25*t - 8*t**3.
2*t*(t - 4)*(t + 9)
Let b(s) be the second derivative of -1/3*s**4 - 1/5*s**5 - 2/9*s**3 + 0 - 9*s + 0*s**2 - 2/45*s**6. Factor b(q).
-4*q*(q + 1)**3/3
Suppose a + 4*h = -150 - 246, -2*a + 4*h = 804. Let w be a/(-1152) - ((-24)/27)/(-4). Factor -1/8*k**2 + 0 - w*k.
-k*(k + 1)/8
Let p be -6*((-15)/20)/(12/314). Let w = p - 115. Find c, given that 11/4*c - w*c**3 - 1/2 + 1/2*c**2 = 0.
-1, 2/11, 1
Suppose 84 = 4*f - f. Factor 31 - f + 3*p**2 + 0*p**2 - 2*p**2 + 4*p.
(p + 1)*(p + 3)
Let v = 554 - 550. Let y(w) be the third derivative of 0 - 1/330*w**5 - 1/132*w**4 + 0*w - v*w**2 + 0*w**3. Factor y(g).
-2*g*(g + 1)/11
Let d(v) = 34*v - v**2 - 1 - 16*v - 20*v. Let w = 0 + 3. Let a(s) = -6*s**2 - 10*s - 4. Let m(y) = w*a(y) - 16*d(y). Factor m(f).
-2*(f - 2)*(f + 1)
Let f(z) be the third derivative of z**5/300 + z**4/15 + 8*z**3/15 - 2*z**2 - 22. Find l such that f(l) = 0.
-4
Let o(j) be the third derivative of j**6/40 + 11*j**5/10 + 41*j**4/8 + 10*j**3 + 342*j**2. Factor o(u).
3*(u + 1)**2*(u + 20)
Factor -8*f**3 - 12*f**2 + 12*f**3 - 10*f - 9*f**3 - 3*f**2.
-5*f*(f + 1)*(f + 2)
Let h(n) = n**2 - 7. Let s be h(3). Let a(f) be the second derivative of -2*f + 1/4*f**4 + 0 + s*f**3 + 6*f**2. Factor a(k).
3*(k + 2)**2
Let i be 7 - (1 - 50/(-20))/((-1)/(-2)). Factor i + 0*l**2 - 4/3*l**4 - 2*l**5 - 2/9*l**3 + 0*l.
-2*l**3*(3*l + 1)**2/9
Let r(m) = m**2 - 5*m. Suppose 0 = -5*j + n - 10, j + 2*j + 6 = -4*n. Let z(v) = -2*v. Let i(c) = j*r(c) + 5*z(c). Factor i(k).
-2*k**2
Suppose 15*d = 85 - 55. Let h(f) be the second derivative of -3*f + 0 - 4/39*f**3 + 1/13*f**d + 1/13*f**4 + 1/195*f**6 - 2/65*f**5. Factor h(m).
2*(m - 1)**4/13
Let s(i) be the first derivative of -4*i**3/3 + 34*i**2 + 72*i + 130. Factor s(z).
-4*(z - 18)*(z + 1)
Let h(b) be the first derivative of 3*b**4/8 + 31*b**3/3 + 73*b**2 + 84*b - 917. Factor h(r).
(r + 6)*(r + 14)*(3*r + 2)/2
Let f(l) = 9*l**4 - 44*l**3 + 60*l**2 + 5*l + 5. Let c(z) = 14*z**4 - 64*z**3 + 90*z**2 + 8*z + 8. Let j(o) = 5*c(o) - 8*f(o). Determine h, given that j(h) = 0.
0, 1, 15
Let o(p) be the second derivative of p**4/12 - 2*p**3/3 + 2*p**2 + 121*p. Factor o(x).
(x - 2)**2
Let y(n) be the third derivative of 1/24*n**6 + 5/3*n**3 + 5*n**2 + 0 - 5/8*n**4 + 0*n**5 + 0*n. Let y(j) = 0. Calculate j.
-2, 1
Let j(r) be the third derivative of 1/112*r**8 + 0*r + 13/40*r**6 + 0*r**3 + 53*r**2 + 0 + 9/2*r**4 - 1/7*r**7 + 3*r**5. Let j(o) = 0. Calculate o.
-1, 0, 6
Let o(m) = -m**3 - m**2. Let h(z) = -z**3 - 4*z**2 - 8*z + 4. Let w = 42 + -39. Let j(y) = w*o(y) - h(y). Suppose j(n) = 0. What is n?
-2, 1/2, 2
Let l(k) = 16*k**4 - 16*k**3 - 9*k**2 - 2*k - 11. Let r(i) = 3*i**4 - 3*i**3 - 2*i**2 - 2. Let j(n) = -2*l(n) + 11*r(n). Factor j(z).
z*(z - 2)*(z - 1)*(z + 2)
Let c = 625/3 + -208. Determine b, given that 2/3 - 1/3*b + 2/3*b**3 - 4/3*b**2 - c*b**5 + 2/3*b**4 = 0.
-1, 1, 2
Let g(w) be the