j) = -27*d(j) + 4*k(j). Factor z(y).
3*(y - 1)**2*(y + 2)
Let m be 7 - (-5)/((-10)/6). Suppose -4*j - 2*g = -2, -3*g = j + m + 8. Factor -2/3*h**j + 0 - 2/3*h - 4/3*h**2.
-2*h*(h + 1)**2/3
Let w(f) be the first derivative of f**4/20 + f**3/15 - 2*f**2/5 - 4*f/5 - 8. Factor w(x).
(x - 2)*(x + 1)*(x + 2)/5
Let p(j) = 6*j**2 - 4*j + 1. Let q be p(1). Solve 1/7*v**4 - 3/7*v**2 + 0 + 0*v**q + 2/7*v = 0.
-2, 0, 1
Let u(n) be the third derivative of n**8/70560 + n**7/8820 + n**6/2520 + n**5/60 - 2*n**2. Let y(c) be the third derivative of u(c). Factor y(h).
2*(h + 1)**2/7
Suppose -35 = -d - 6*d. Let n be 28/(-42) - (-32)/30. Factor -2/5*v**2 + n*v**4 + 0*v + 2/5*v**d + 0 - 2/5*v**3.
2*v**2*(v - 1)*(v + 1)**2/5
Factor 4*j + 5*j**2 - 2*j**2 + 2*j + 0*j**2.
3*j*(j + 2)
Let a(b) be the third derivative of -b**8/2800 + b**6/300 - b**4/40 + b**3/2 - 2*b**2. Let o(l) be the first derivative of a(l). Factor o(i).
-3*(i - 1)**2*(i + 1)**2/5
Let m(w) be the second derivative of -5*w**7/84 - w**6/16 + 3*w**5/40 - w**4/48 - 2*w**2 - 6*w. Let h(n) be the first derivative of m(n). Solve h(f) = 0 for f.
-1, 0, 1/5
Let g(a) be the third derivative of a**8/10920 - a**7/4680 + a**6/4680 + a**5/15 + 2*a**2. Let d(w) be the third derivative of g(w). Let d(n) = 0. Calculate n.
1/4, 1/3
Suppose -h - 4*h + 20 = -5*i, 4*h = -2*i + 40. Let y be 2/(-8)*h/(-6). Factor -y*v**4 + 0*v + 1/3*v**3 + 1/3*v**2 + 0 - 1/3*v**5.
-v**2*(v - 1)*(v + 1)**2/3
Suppose 72 - 20 = -2*k. Let a = k - -53/2. Factor 0 - v + a*v**2.
v*(v - 2)/2
Suppose 6*t - 17*t = -33. Determine a, given that -1/2 + 1/2*a**2 - 7/4*a**t + 7/4*a = 0.
-1, 2/7, 1
Let k(i) = 3*i - 6*i**5 + i**2 + 3*i**5 + i**4 + 5 - 2*i**2. Let s(q) = -10*q**5 + 4*q**4 - 4*q**2 + 10*q + 16. Let m(o) = -16*k(o) + 5*s(o). Factor m(g).
-2*g*(g - 1)**3*(g + 1)
Let b(p) be the third derivative of -1/420*p**6 + 0*p**5 - 3*p**2 + 0 - 2/21*p**3 + 0*p + 1/28*p**4. Factor b(c).
-2*(c - 1)**2*(c + 2)/7
Let l(s) be the first derivative of s**5/30 + 17. Suppose l(m) = 0. What is m?
0
What is p in 2/7*p**2 + 8/7 - 8/7*p = 0?
2
Let f(t) be the first derivative of -9*t**5 + 5*t**4/2 + 15*t**3 - 5*t**2 + 15. Suppose f(k) = 0. Calculate k.
-1, 0, 2/9, 1
Let c = 4618/5 - 922. Determine f, given that 4*f**3 + 0*f + 0 + c*f**2 - 8/5*f**4 - 4*f**5 = 0.
-1, -2/5, 0, 1
Let u(p) = 2*p - 8. Let t be u(4). Find c, given that -3 + 4*c**2 - 3*c**4 + 2*c**5 + 3*c + c**5 + t*c**2 - 6*c**3 + 2*c**2 = 0.
-1, 1
Suppose -j + 1 + 3 = 0. Let h = j - 2. Suppose -2*q**2 - h*q - 4*q + 4*q**2 + 4*q - 4 = 0. What is q?
-1, 2
Let n = -38165/9 + 4245. Determine z so that n*z + 14/9*z**3 - 8/9 - 46/9*z**2 = 0.
2/7, 1, 2
Suppose 0 + 3/2*r**4 + 0*r**2 + 1/2*r**5 + r**3 + 0*r = 0. Calculate r.
-2, -1, 0
Let z(w) be the first derivative of 2*w**5/15 - w**4/2 + 2*w**3/9 + w**2 - 4*w/3 + 12. Factor z(s).
2*(s - 2)*(s - 1)**2*(s + 1)/3
Let r be (-4 - -1)*(-4)/6. Suppose -14*l**4 + r - 10*l**4 - 12*l**5 - 15*l + 31*l**3 - 4*l**5 + 22*l**2 = 0. Calculate l.
-2, -1, 1/4, 1
Suppose t - 2 = -0*t. Let p be (7 - 290/40)/(-1*1). Factor p*r**5 + 3*r**3 + 0*r + 2*r**t + 0 + 3/2*r**4.
r**2*(r + 2)**3/4
Let -6*q**2 + 50 + 4*q**2 + 4*q**2 - 20*q = 0. Calculate q.
5
Let i(g) be the third derivative of -g**6/1020 + g**5/102 + g**4/204 - 5*g**3/51 - 22*g**2. Factor i(f).
-2*(f - 5)*(f - 1)*(f + 1)/17
Suppose -5*q - 4*o = -18, -4*q + 3*q - 5*o + 12 = 0. What is f in 0*f**2 - 4*f**q + 2 + 2*f**2 = 0?
-1, 1
Let f = 3 + -3. Let c(r) be the first derivative of -1/4*r**4 + 1/2*r**2 + f*r**3 + 1 + 0*r. Determine s, given that c(s) = 0.
-1, 0, 1
Factor 6*v - 2*v + 12 - 4 + 8*v - 4*v**3.
-4*(v - 2)*(v + 1)**2
Let g be (1 + 0)/(-1 - -9). Let k(i) be the first derivative of -g*i**2 - 1 + 0*i - 1/16*i**4 + 1/6*i**3. What is m in k(m) = 0?
0, 1
Let r(x) = x**2 - 9*x - 8. Let g be r(10). Let i(m) be the first derivative of 2/3*m**3 - 1/5*m**5 + 0*m**g - m + 0*m**4 + 2. Determine s, given that i(s) = 0.
-1, 1
Suppose 92/5*v + 17*v**2 - 10*v**3 + 4 = 0. Calculate v.
-2/5, 5/2
Let p(z) be the first derivative of z**4 + 8*z**3/3 + 2*z**2 - 27. Find h, given that p(h) = 0.
-1, 0
What is d in -8*d**4 + 5*d**4 + 0*d**4 - 3*d**5 = 0?
-1, 0
Factor 64/17*x + 2/17*x**2 + 512/17.
2*(x + 16)**2/17
Let d(v) = v**2 + 10*v + 45. Let q(n) = -n**2 - 11*n - 46. Let k(f) = -3*d(f) - 4*q(f). Suppose k(z) = 0. What is z?
-7
Let f be ((-1)/2)/(7 - 8). Let v(c) be the first derivative of f*c**4 + 2/3*c**3 - 2*c - 2 - c**2. Factor v(m).
2*(m - 1)*(m + 1)**2
Let o(t) = t**2 - 7*t + 2. Let r be o(7). Suppose r = -2*g + 3*g. Factor 0*y + 1/2 - 1/2*y**g.
-(y - 1)*(y + 1)/2
Let p(c) = -c**3 + 5*c**2 + 5*c + 6. Let z be p(6). Suppose z = -0*y - 3*y + 12, -y = -4*s - 4. Factor s - 1/2*n**2 + 0*n.
-n**2/2
Let j(m) be the second derivative of 2*m**6/15 + m**5 + 2*m**4 - 22*m. Find d such that j(d) = 0.
-3, -2, 0
Let h be (-10)/(-48)*13/10. Let q = h + 1/16. Factor -4/3 - q*x**2 - 4/3*x.
-(x + 2)**2/3
Let t be 1/(1 + 10/4 - 0). Solve 0 + 0*v**2 - 4/7*v**3 + t*v**4 + 0*v = 0.
0, 2
Let y = 43/76 - 6/19. Suppose -b + 2 = -0*b. What is o in -1/4*o**b - y + 1/2*o = 0?
1
Let o(b) be the second derivative of b**6/10 - 3*b**4/4 - b**3 + b. Factor o(d).
3*d*(d - 2)*(d + 1)**2
Let j(d) be the first derivative of -5*d**4/12 + 2*d**3/9 - 9. Suppose j(a) = 0. What is a?
0, 2/5
Determine m so that -2/3*m + 0 + 8/3*m**4 + 2/3*m**3 - 8/3*m**2 = 0.
-1, -1/4, 0, 1
Let z(t) be the third derivative of -5*t**8/672 + t**7/14 - 13*t**6/48 + t**5/2 - 5*t**4/12 + 10*t**2. Solve z(q) = 0 for q.
0, 1, 2
Let s(o) be the second derivative of -5*o + 0*o**2 - o**3 - 1/4*o**4 + 0. Determine q so that s(q) = 0.
-2, 0
Let d be (-308)/(-165)*18/8. Find z such that -6/5*z - 3*z**5 + 0 + 9/5*z**4 + d*z**3 - 9/5*z**2 = 0.
-1, -2/5, 0, 1
Solve -4/3*d**3 + 1/3*d**5 + 2/3*d**4 - 2/3*d**2 + d + 0 = 0 for d.
-3, -1, 0, 1
Let j(q) = -q**3 - q**2 + q. Let v(z) = 10*z**3 + 30*z**2 - 25*z. Let a(i) = -15*j(i) - v(i). Let a(x) = 0. Calculate x.
0, 1, 2
Let y(d) be the first derivative of d**4/2 - 4*d**3/3 + d**2 - 9. Factor y(h).
2*h*(h - 1)**2
Let m(i) = -13*i**3 - 3*i**2 + 13*i + 13. Let f(a) = 32*a**3 + 8*a**2 - 32*a - 32. Let s(t) = 5*f(t) + 12*m(t). Factor s(l).
4*(l - 1)*(l + 1)**2
Let r(w) be the third derivative of 0 + 0*w**3 - 2/15*w**5 - 1/12*w**4 + 0*w + 2*w**2 - 1/20*w**6. Factor r(p).
-2*p*(p + 1)*(3*p + 1)
Suppose 0 = -3*i + 5*n - 5, -4*i + 2*n + 4 = 6*n. Factor 2*t - 2/3*t**3 - 4/3 + i*t**2.
-2*(t - 1)**2*(t + 2)/3
Let q be (5 - 15)/(-2) - 5. Factor -1/2*k**2 + q - k.
-k*(k + 2)/2
Let p = 34/349 + -506918/1745. Let g = p - -292. Suppose 2/5*l + 6/5*l**3 - g*l**2 + 0 = 0. Calculate l.
0, 1/3, 1
Suppose 3*w + 3*r = -3, 2*w - 3*r = -3*w + 3. Factor 1/3*u**4 + 1/3*u**2 + w + 0*u - 2/3*u**3.
u**2*(u - 1)**2/3
Let m be ((15/(-10))/1)/(-60). Let n(v) be the second derivative of -3*v + 1/4*v**3 - 1/8*v**4 + m*v**5 + 0 - 1/4*v**2. Determine o so that n(o) = 0.
1
Suppose -6*a = -a - 15. Factor 3*z - 4*z**2 + 9*z**4 - 5*z**2 - 12*z**4 + 9*z**a.
-3*z*(z - 1)**3
Let g(b) = -20*b**2 - 32*b + 28. Let o(l) = 59*l**2 - 67*l**2 - 6*l - 7*l + 11. Let r(y) = 5*g(y) - 12*o(y). Suppose r(u) = 0. Calculate u.
-2, 1
Solve -4/9 - 10/9*o - 2/3*o**2 + 2/9*o**3 + 2/9*o**4 = 0 for o.
-1, 2
Suppose -b + 5*b + 5 = -s, 5*s - 59 = b. Let u = s + -7. Factor 5*l**2 + 0*l + l**2 + u*l.
2*l*(3*l + 2)
Let d be (-6)/5*(-35)/14. Let z(o) be the second derivative of -1/2*o**2 - 3*o + 0*o**d + 1/12*o**4 + 0. Determine h so that z(h) = 0.
-1, 1
Let g(s) be the second derivative of 7*s**7/27 + 119*s**6/135 - 8*s**5/9 + 2*s**4/9 + 12*s - 3. Factor g(w).
2*w**2*(w + 3)*(7*w - 2)**2/9
Let z(i) be the first derivative of -i**4/2 - 4*i**3/3 - 3. Factor z(p).
-2*p**2*(p + 2)
Let q = -1766 + 5452/3. Let k = q + -50. Determine x, given that -2/3*x**3 - k*x**2 + 4/3 + 2/3*x = 0.
-2, -1, 1
Let d(l) = 25*l - 321. Let u be d(13). Solve -14/5*g - 2/5*g**u - 2*g**3 - 18/5*g**2 - 4/5 = 0.
-2, -1
Let n(s) be the third derivative of s**6/60 + 7*s**5/60 + 19*s**4/64 + 3*s**3/8 + 49*s**2. Find x, given that n(x) = 0.
-2, -3/4
Let 5/2*o**2 - 1 - 3/2*o = 0. Calculate o.
-2/5, 1
Let h(s) be the third derivative of -s**6/30 - 4*s**5/15 - 5*s**4/6 - 4*s**3/3 - 8*s**2. Factor h(u).
-4*(u + 1)**2*(u + 2)
Let d be (-86)/(-27)*3/30. Let v = 2/135 + 