24*o**2 + 15*o - 5*o**3 - 70*o = 0.
-5, -1
Suppose 1368 = 480*o - 552. Determine y so that 8/23*y**o - 10/23*y**3 + 2/23*y**2 + 0*y + 0 = 0.
0, 1/4, 1
Let f(v) = -v**4 - 10*v**3 - 23*v**2 - 16*v + 2. Let s(w) = -3*w**4 - 31*w**3 - 70*w**2 - 47*w + 7. Let k(a) = -7*f(a) + 2*s(a). Factor k(i).
i*(i + 2)*(i + 3)**2
Let u(s) = 2*s. Let j be u(3). Suppose j*m = m + 15. Let -1/4*l**4 - 1/4*l + 0 - 3/4*l**2 - 3/4*l**m = 0. What is l?
-1, 0
Find u such that -72 - 3/2*u**2 - 3/8*u**3 + 30*u = 0.
-12, 4
Let b(u) be the first derivative of 2*u**3/15 - 11*u**2/5 - 52*u/5 - 57. What is a in b(a) = 0?
-2, 13
Suppose 4*w - 25 = -s + 2, 4*w = -4*s + 36. Let b = w + -2. Solve -5*x + 20 - 12*x**2 - 3*x - 8*x - b = 0 for x.
-2, 2/3
Let d(l) be the second derivative of -15/2*l**2 + 1/4*l**4 - 2*l**3 + 0 - 5*l. Factor d(t).
3*(t - 5)*(t + 1)
Let l = 1024 + -2047/2. Let h(t) be the third derivative of 0*t - 6*t**2 + 0 - l*t**4 - 1/30*t**6 - 2/3*t**3 - 1/5*t**5. Factor h(r).
-4*(r + 1)**3
Suppose 0*u = 4*u - 8. Suppose d = 2*a - 4*a, -u*a = -4*d + 10. Factor g**d + 3*g - g - 2*g.
g**2
Let k be ((-2)/6*-1)/(7/42). Suppose -3*s**k + 10*s**3 - 17*s**2 - 5*s**5 + 10*s**4 - 1 + 11 - 5*s = 0. What is s?
-1, 1, 2
Let x(r) be the first derivative of -3*r**5/5 - 27*r**4/4 + 21*r**3 + 735*r**2/2 + 59. Factor x(i).
-3*i*(i - 5)*(i + 7)**2
Let o(x) be the first derivative of 23 - 6/5*x**2 + 12/5*x + 1/5*x**3. Factor o(y).
3*(y - 2)**2/5
Determine p so that p**2 + 2264*p - 2273*p + 30 - 4*p**2 = 0.
-5, 2
Factor -1 + 5/4*m + 1/4*m**4 - 5/4*m**3 + 3/4*m**2.
(m - 4)*(m - 1)**2*(m + 1)/4
Suppose 38*a - 33 - 43 = 38. Suppose 8/3*j**2 + 16/3*j + 0 - 2/3*j**4 - 4/3*j**a = 0. What is j?
-2, 0, 2
Let n(s) = -16*s**2 - 128. Let w(x) = -6*x**2 - 42. Let j(k) = -4*n(k) + 11*w(k). Factor j(p).
-2*(p - 5)*(p + 5)
Let y(z) be the second derivative of -z**6/40 + 3*z**5/40 + 36*z - 7. Factor y(n).
-3*n**3*(n - 2)/4
Suppose 136 = 2*o + 3*h, 0*o - 5*o - 4*h = -333. Let x be -1 - (250/o - 5). Let 4/13*u - x*u**3 + 2/13*u**2 + 0 = 0. What is u?
-1, 0, 2
Let x(n) = 8*n**2 + 24*n + 23. Let j(i) be the first derivative of 4*i**3/3 + 6*i**2 + 11*i - 43. Let o(g) = -7*j(g) + 3*x(g). Determine d, given that o(d) = 0.
-2, -1
Factor -9/7*z**2 - 18/7*z + 3/7*z**3 + 24/7.
3*(z - 4)*(z - 1)*(z + 2)/7
Let j = 66 + -62. Suppose 4*g - 4 - 20 = -j*q, 10 = -3*g + 4*q. Factor -6/5*t - 9/5 - 1/5*t**g.
-(t + 3)**2/5
Let j(o) be the first derivative of -o**4/7 - 8*o**3/3 - 10*o**2 - 88*o/7 + 539. Factor j(w).
-4*(w + 1)*(w + 2)*(w + 11)/7
Let o(i) = 2*i**3 - 46*i**2 + 123*i - 58. Let b be o(20). Factor -2/13*n**3 + 4/13*n**b + 16/13*n + 0.
-2*n*(n - 4)*(n + 2)/13
Let s(i) = i**3 + 67*i**2 - 96*i - 1900. Let j be s(-68). Determine t, given that -8/5*t**2 + 4/5*t**j + 4/5*t**3 + 0 + 0*t = 0.
-2, 0, 1
Let t = 648 - 646. Factor -1/8*f**t - 1/8*f**3 + 0 + 0*f.
-f**2*(f + 1)/8
Let i(u) be the second derivative of 0*u**2 + 0 + 1/75*u**6 - u + 2/15*u**3 - 1/30*u**4 - 1/25*u**5. Find x, given that i(x) = 0.
-1, 0, 1, 2
Let p(o) = 17*o**4 - 6*o**3 + 10*o**2 + 14*o. Let u(d) = 12*d**4 - 4*d**3 + 7*d**2 + 10*d. Let i(t) = 5*p(t) - 7*u(t). Solve i(h) = 0 for h.
0, 1
Factor -299*w**2 + 218*w**2 - 131*w**2 + 744*w - 10*w**3 - 232*w**2 + 368.
-2*(w - 2)*(w + 46)*(5*w + 2)
Let s(n) be the third derivative of -n**6/8 + 7*n**5/15 - 11*n**4/24 - n**3/3 + 250*n**2 - n. Let s(m) = 0. What is m?
-2/15, 1
Let u(y) be the second derivative of 0 - 1/3*y**3 + 0*y**2 - 10*y - 1/3*y**4 + 0*y**5 + 1/21*y**7 + 2/15*y**6. Determine h so that u(h) = 0.
-1, 0, 1
Let z be 64/896*(-7)/(-2). Factor 0 - z*v**3 - 1/4*v + 5/8*v**2.
-v*(v - 2)*(2*v - 1)/8
Suppose 0 = 4*g - 207 - 261. Suppose -v = -4*b + g, 0 = b + v + 8 - 31. Find f such that -49*f**2 - 1 + 1 - 4 - b*f = 0.
-2/7
Factor f**2 + 1/2*f - 1/2.
(f + 1)*(2*f - 1)/2
Let o(f) be the second derivative of -f**7/126 + 11*f**6/90 - 13*f**5/20 + 5*f**4/4 - 131*f + 1. Find a such that o(a) = 0.
0, 3, 5
Let i = 14 + -9. Let f(q) = 6*q**3 + 5*q**2 - 6*q. Let u(h) = -3*h**3 - 2*h**2 + 3*h. Suppose 4*d - 5*d + 2 = 0. Let x(z) = d*f(z) + i*u(z). Factor x(o).
-3*o*(o - 1)*(o + 1)
Let g(z) be the first derivative of 10*z**3 + 74*z**3 + 8*z**5 + 604 + 7*z**5 - 24*z**2 - 577 - 90*z**4. What is b in g(b) = 0?
0, 2/5, 4
Solve -70/9*b**2 - 4/9*b**3 + 2/9*b**4 - 8 + 16*b = 0.
-6, 1, 6
Let p(v) be the second derivative of 8*v - 1/8*v**3 + 1/80*v**5 + 9/4*v**2 + 0 - 1/12*v**4. Factor p(d).
(d - 3)**2*(d + 2)/4
Let l(q) be the first derivative of 7*q**3/12 - 11*q**2/8 + q + 109. Solve l(d) = 0 for d.
4/7, 1
Let c(s) be the first derivative of s**7/210 - s**5/30 - 10*s**3/3 - 9. Let d(h) be the third derivative of c(h). Solve d(k) = 0 for k.
-1, 0, 1
Let f(n) = -3*n**5 + 8*n**4 - 7*n**3 - 6*n**2 + 2*n. Let s(v) = 15*v**5 - 39*v**4 + 35*v**3 + 31*v**2 - 9*v. Let w(d) = -11*f(d) - 2*s(d). Factor w(b).
b*(b - 2)*(b - 1)**2*(3*b + 2)
Suppose -120 = -y - 2*y. Suppose -6*m - y = -3*k - m, 0 = 3*k + m - 10. Determine h, given that 7*h**2 - 10*h**4 + k*h**3 + 0*h**4 + h**3 - 3*h**2 = 0.
-2/5, 0, 1
Suppose 4*h - 147 = -131. Find p, given that -8*p**2 - 4*p**2 - 12*p**h + 3*p**5 + 5*p - 2*p + 2*p**3 + 16*p**3 = 0.
0, 1
Let o be -4*(1 - 0/(-1)). Let q be (2 + o/3)/((-30)/(-90)). Factor 0 - 3/4*r**4 - 3/4*r**3 + 0*r + 0*r**q.
-3*r**3*(r + 1)/4
Suppose -6*v = -60 + 36. Let a(l) be the first derivative of 0*l**2 + 2/35*l**5 - 3 + 1/14*l**v + 0*l**3 + 0*l. Determine t so that a(t) = 0.
-1, 0
Let u(h) = 2*h + 5. Let r be u(3). Let n(y) = y**3 - 13*y**2 + 21*y + 14. Let s be n(r). Factor -1/3 - 1/6*v**5 - 4/3*v**2 + 1/3*v**s + 7/6*v + 1/3*v**4.
-(v - 1)**4*(v + 2)/6
Let o = -4/1101 - -26452/7707. Suppose -3/7*g**4 - 27/7 - 72/7*g - 66/7*g**2 - o*g**3 = 0. Calculate g.
-3, -1
Let r(i) be the third derivative of 1/6*i**4 + 0*i + 1/5*i**5 - i**2 + 0*i**3 + 0. Determine q, given that r(q) = 0.
-1/3, 0
Let d(h) be the second derivative of -h**6/90 + h**5/10 - h**4/12 - 5*h**3/9 - 204*h. Factor d(a).
-a*(a - 5)*(a - 2)*(a + 1)/3
Factor 503*m - 310*m + 396*m**2 - 349*m - 15*m**3.
-3*m*(m - 26)*(5*m - 2)
Factor 14*l**3 + 21*l - 6*l**3 - 9*l**3 + 14*l + 8*l**2 - 166 - 128.
-(l - 7)**2*(l + 6)
Let u(a) be the second derivative of -a**5/120 - 13*a**4/72 - 23*a**3/36 - 11*a**2/12 + 74*a. Suppose u(g) = 0. What is g?
-11, -1
Suppose -17*o + 20 = -18*o. Let u be (-2)/9*30/o. Suppose 0*s - s**3 - u*s**4 - 2/3*s**2 + 0 = 0. Calculate s.
-2, -1, 0
Let k(v) be the first derivative of -5*v**4/4 + 10*v**2 + 66. Let k(t) = 0. Calculate t.
-2, 0, 2
Suppose -15*t = 15 - 75. Let w(m) be the second derivative of 0 - 4/7*m**2 - 1/42*m**t + 7*m + 4/21*m**3. Solve w(q) = 0.
2
Let j(z) be the second derivative of -2/21*z**4 - 1/70*z**5 + 0 + 18/7*z**2 - 8*z + 1/7*z**3. Find w, given that j(w) = 0.
-3, 2
Suppose -16/7*z**2 + 12/7*z + 0 + 4/7*z**3 = 0. What is z?
0, 1, 3
Suppose 5*o = 9*o - 8. Let z = -6 - -10. Find t, given that 2/11*t**3 + 4/11*t**o - 8/11*t**z + 0*t + 0 - 6/11*t**5 = 0.
-1, 0, 2/3
Suppose 3*a + g = -962, -a + 2*g = 5*g + 326. Let j be (-1)/4 - 4/(a/68). Factor 3/5*f**2 + 3/5*f - 3/5*f**3 - j.
-3*(f - 1)**2*(f + 1)/5
Let b(i) = 13*i**4 + 4*i**3 - 3*i + 3 + 2 - 2*i - 9*i**4. Let x(v) = -20*v**4 - 20*v**3 + 24*v - 24. Let z(h) = 24*b(h) + 5*x(h). Factor z(r).
-4*r**3*(r + 1)
Let 3/2*g**2 - 105*g + 3675/2 = 0. Calculate g.
35
Find y, given that 10*y**3 + 52 - 12 - 25*y**2 - 3*y**3 + 10*y - 2*y**3 = 0.
-1, 2, 4
Let o(v) be the third derivative of -v**10/37800 - v**9/3780 - v**8/1680 + 5*v**5/12 - 32*v**2. Let g(h) be the third derivative of o(h). Factor g(m).
-4*m**2*(m + 1)*(m + 3)
Let k(l) be the third derivative of l**6/320 - 9*l**5/160 - 21*l**4/64 - 11*l**3/16 + 48*l**2. Factor k(s).
3*(s - 11)*(s + 1)**2/8
Factor 0 + 4/3*f**2 + 1/3*f**3 - 5/3*f.
f*(f - 1)*(f + 5)/3
Let x = -60 + 174. Let h = 128 - x. What is k in h*k**2 - 1 + 1/2*k = 0?
-2/7, 1/4
Let s = 0 - -6. Let m be (-9)/15 + ((-156)/(-10))/s. Suppose 0*v**3 + 1/3*v**4 - 2/3*v**m + 1/3 + 0*v = 0. What is v?
-1, 1
Let n = -2398 + 2401. Let y(v) be the second derivative of 0 + 5/6*v**4 - 1/4*v**5 + 5*v - 5/6*v**n + 0*v**2. Let y(h) = 0. What is h?
0, 1
Let h(o) = -o**2 - 12*o - 12. Let d be h(-8). Let 9 + 14 - d + 3*r**2 - 6*r = 0. Calculate r.
1
Let a(y) be the first derivative of -5/3*y**5 