c(o) be the second derivative of 0 + 1/6*o**4 - 4/3*o**3 + 0*o**2 + 18*o. Suppose c(d) = 0. What is d?
0, 4
Let g = -2999 - -11999/4. Factor 0 + 3/4*k - g*k**2.
-3*k*(k - 1)/4
Let l = -3376 + 10132/3. Factor 4*x**4 + l*x**2 - 4/3*x**5 + 0*x + 0 - 4*x**3.
-4*x**2*(x - 1)**3/3
Let z(i) be the third derivative of -i**5/105 + i**4/6 - 317*i**2. Factor z(x).
-4*x*(x - 7)/7
Let i = 178 + -178. Let h(c) be the first derivative of 1/3*c**3 - c - 11 + i*c**2. Find b such that h(b) = 0.
-1, 1
Let b = -231 - -233. Let a(d) be the first derivative of -2/15*d**3 + 6/25*d**5 - 2/5*d**4 + 2/5*d**b + 0*d + 5. Factor a(k).
2*k*(k - 1)**2*(3*k + 2)/5
Suppose 112*t - 5*g = 115*t - 8, -4*g + 7 = 3*t. Factor 1/2*b**3 + 5/2*b - 2*b**2 - t.
(b - 2)*(b - 1)**2/2
Determine d so that 0 + 4/13*d**2 + 0*d + 2/13*d**4 + 6/13*d**3 = 0.
-2, -1, 0
Let k(r) = -8*r**3 + 6*r**2 - 18*r - 6. Suppose 16 = 4*x - 8. Let d(g) = -g**3 - g**2 - 1. Let s(w) = x*d(w) - k(w). Factor s(b).
2*b*(b - 3)**2
Factor 180*o**4 - 25*o**5 - 608 + 608 + 32*o**2 + 156*o**3.
-o**2*(o - 8)*(5*o + 2)**2
Let z(u) be the third derivative of -u**8/6720 + u**7/3360 + 5*u**3/3 - 6*u**2. Let f(v) be the first derivative of z(v). Factor f(i).
-i**3*(i - 1)/4
Let o(i) be the first derivative of 0*i + 0*i**3 + 1/21*i**6 - 13 + 1/7*i**2 - 1/7*i**4 + 0*i**5. Factor o(l).
2*l*(l - 1)**2*(l + 1)**2/7
Let q(w) be the second derivative of -5*w**4/3 + 145*w**3/2 + 55*w**2 + 21*w + 1. Factor q(s).
-5*(s - 22)*(4*s + 1)
Suppose 0 - 2/5*w**2 - 12/5*w = 0. Calculate w.
-6, 0
Let j(a) = 5*a**3. Let h(t) = -4*t - 4. Let q(d) = d**3 + 9*d + 9. Let m(u) = -9*h(u) - 4*q(u). Let x(n) = -3*j(n) - 4*m(n). Factor x(f).
f**3
Let d(i) be the second derivative of 0*i**2 - 1/40*i**5 + 0 + 0*i**4 + 3/2*i**3 + 5*i - 1/360*i**6. Let x(v) be the second derivative of d(v). Solve x(g) = 0.
-3, 0
Let x(h) be the third derivative of -16*h**2 + 1/112*h**8 + 0*h - 1/35*h**7 + 0 + 0*h**3 + 1/10*h**5 - 1/40*h**6 + 0*h**4. Factor x(f).
3*f**2*(f - 2)*(f - 1)*(f + 1)
Let u(a) be the first derivative of a**4/16 - a**3/3 - 3*a**2/8 + 9*a/2 - 248. Factor u(x).
(x - 3)**2*(x + 2)/4
Let n = -11643 - -34933/3. Factor 2/3*i**5 + 8/3*i**4 - 4/3*i**2 - n + 8/3*i**3 - 10/3*i.
2*(i - 1)*(i + 1)**3*(i + 2)/3
Let q = 253676/9 - 28186. Let 4/3 - q*w**2 + 2/9*w = 0. Calculate w.
-2, 3
Let c be (-2)/24 - ((-56408)/1824 - -30). Factor 32/19*t**5 - 14/19*t**3 - 2/19*t**2 + 0 - c*t**4 + 0*t.
2*t**2*(t - 1)*(4*t + 1)**2/19
Let v(d) be the third derivative of -d**8/2352 - d**7/490 + d**6/140 + 2*d**5/105 + 168*d**2. Determine f, given that v(f) = 0.
-4, -1, 0, 2
Find o, given that 10*o**3 - 17*o**2 + 47*o**3 + 96*o + 104*o**2 + 3*o**4 + 36 - 27*o**3 = 0.
-6, -2, -1
Let d(v) = -8*v**3 + 10*v**2 - 2*v. Let s(n) = 33*n**3 - 41*n**2 + 8*n. Suppose -2*p - 6 = -p. Let i(y) = p*s(y) - 26*d(y). Suppose i(g) = 0. Calculate g.
0, 2/5, 1
Let 128*z**3 + 30 + 5*z**5 - 90 + 17*z**2 - 53*z**3 + 8*z**2 + 35*z**4 - 80*z = 0. What is z?
-3, -2, -1, 1
Suppose f - 3 = -3*m + 4, 3*f = -m + 5. Let a(n) be the third derivative of 0 - 1/80*n**6 + 0*n - 27/4*n**3 - 27/16*n**4 - 3*n**m - 9/40*n**5. Factor a(w).
-3*(w + 3)**3/2
Let c(o) be the third derivative of -o**9/1512 - o**3/6 - 2*o**2. Let q(f) be the first derivative of c(f). Factor q(a).
-2*a**5
Let v(t) = t**2 - 6*t - 5. Let n = 9 - 0. Let k(g) = -10 + 4*g**2 - 10*g - n*g - 5 - 1. Let o(c) = 4*k(c) - 14*v(c). Factor o(a).
2*(a + 1)*(a + 3)
Suppose 6 = -i + 10. Suppose 14 = i*a + 2. Factor 0*l**a + 0*l + 2/9*l**4 - 2/9*l**2 + 0.
2*l**2*(l - 1)*(l + 1)/9
Let l(r) be the second derivative of -r**7/63 - r**6/15 + r**5/30 + 7*r**4/18 - 4*r**2/3 - 226*r. Suppose l(h) = 0. What is h?
-2, -1, 1
Let k(m) be the first derivative of m**4/18 + 10*m**3/27 - 22*m**2/9 + 32*m/9 + 312. Solve k(f) = 0.
-8, 1, 2
Suppose 35*w = 16*w. Let i(l) be the second derivative of 0*l**2 - 5/14*l**5 + 10/21*l**4 + 3*l + w - 4/21*l**3. Factor i(z).
-2*z*(5*z - 2)**2/7
Let v = 1677 - 301859/180. Let k(j) be the third derivative of 0*j + 0*j**3 - 1/360*j**6 + 0 + v*j**5 + 9*j**2 + 1/36*j**4. Factor k(o).
-o*(o - 2)*(o + 1)/3
Factor 19*y + 2*y - y**3 - 28*y**2 + 8*y + 60 + 5*y**3 - y.
4*(y - 5)*(y - 3)*(y + 1)
Suppose -2*c + c = 1. Let i be ((c + -13)/(-2) - 3)*1. Factor -10/9*w**i - 22/9*w - 4/9 - 34/9*w**3 - 14/3*w**2.
-2*(w + 1)**3*(5*w + 2)/9
Let t(a) = -a + 3. Let d be t(-3). Suppose g - 4*g + d = 0. Factor g*b + 3*b + b**2 + 2*b - 6*b - 2*b**3.
-b*(b - 1)*(2*b + 1)
Let x(f) = -28*f**5 - 288*f**4 - 388*f**3 - 132*f**2 - 28*f - 12. Let w(t) = -3*t**5 - t**2 + t + 1. Let d(v) = 12*w(v) + x(v). Factor d(h).
-4*h*(h + 2)**2*(4*h + 1)**2
Let v(d) be the first derivative of -d**6/7 + 18*d**5/35 - 3*d**4/14 - 6*d**3/7 + 6*d**2/7 - 156. Find l such that v(l) = 0.
-1, 0, 1, 2
Suppose 0 = 396*y - 412*y + 64. Factor -4/3 - 4/3*k**3 - 4*k**2 - y*k.
-4*(k + 1)**3/3
Suppose x = -4*i + 1, -i = 4*x - 33 - 46. Solve 5*s**3 - 4*s**3 + 9 - x - 4*s**3 + 9*s**2 = 0.
-1, 2
Let m = 16 - 10. Suppose -2*b = b - m. Factor 29 + 2*r**b - r - r**3 - 29.
-r*(r - 1)**2
Let f(p) = 4*p**2 + 10*p. Let z be f(-3). Determine n so that -n**2 + 0*n + n - 2 - 3*n**2 - n**3 + z*n**2 = 0.
-1, 1, 2
Factor -5/3*h - 1/2*h**3 + 1/6*h**5 - 5/6*h**4 + 17/6*h**2 + 0.
h*(h - 5)*(h - 1)**2*(h + 2)/6
Let d(y) = 5*y**2 + 15*y - 5. Let p(q) = q. Suppose 0 = 2*s + 13 + 17. Let x(o) = s*p(o) + d(o). Factor x(c).
5*(c - 1)*(c + 1)
Let k(l) = -2*l**2 - l. Let t(b) = -2*b**2 + 122*b + 1922. Let o(f) = -2*k(f) + t(f). Factor o(y).
2*(y + 31)**2
Suppose 2/7*n**3 - 2/7*n + 60/7 - 60/7*n**2 = 0. What is n?
-1, 1, 30
Let j(d) be the third derivative of -d**6/160 + 3*d**5/80 - d**4/16 + 62*d**2. Factor j(c).
-3*c*(c - 2)*(c - 1)/4
Find v, given that 0*v**2 - 27044*v + 27624*v - 5*v**2 - 16820 = 0.
58
Let l(i) be the third derivative of 0*i - 2/15*i**5 + 4/3*i**3 - 2/15*i**6 + 36*i**2 + 0 + 0*i**7 + 1/2*i**4 + 1/84*i**8. Determine r so that l(r) = 0.
-1, 1, 2
Let s = -2008/3 - -674. Factor -s*w**3 - 1/3*w**5 - 2/3 - 3*w - 16/3*w**2 - 2*w**4.
-(w + 1)**4*(w + 2)/3
Determine y so that 0 + 0*y + 1/5*y**3 + 9/5*y**2 = 0.
-9, 0
Let l = 17210/15071 + 2/2153. Solve l + 12/7*c**2 + 20/7*c = 0 for c.
-1, -2/3
Let z(d) be the first derivative of d**4/2 + 4*d**3/3 + 577. What is c in z(c) = 0?
-2, 0
Solve -25*v + 0*v - 550*v**2 + v**4 - 9 + 542*v**2 + 4*v**3 + 7*v - 2*v**3 = 0 for v.
-3, -1, 3
Suppose 2*a + 2*k = -0*a + 14, 0 = 3*a - 4*k - 35. Suppose 0 = -3*l - a + 30. Let 2*c - 8 - 2*c**2 - 6*c - l*c + 3*c = 0. Calculate c.
-2
Suppose 0 = 3*t - s - 71, 4*s - 6*s = 4*t - 98. Determine p, given that 14*p**3 - 52*p**2 + t*p - 52*p**3 + 18*p**3 = 0.
-3, 0, 2/5
Let b(k) be the first derivative of k**4/18 + 32*k**3/27 + 52*k**2/9 + 32*k/3 + 302. Factor b(m).
2*(m + 2)**2*(m + 12)/9
Let b(a) = -a**3 + a**2 - a - 3. Let r(o) = 4*o**3 - 2*o**2 + 3*o + 9. Let t(w) = -7*b(w) - 2*r(w). Suppose t(n) = 0. What is n?
-3, -1, 1
Let u = 5092 + -15274/3. Suppose 0 - 1/3*b**2 + u*b = 0. Calculate b.
0, 2
Let t = 44 + -32. Factor t*s**3 + 20*s**4 - 3*s**2 + 3*s**3 + s**2 - 3*s**2.
5*s**2*(s + 1)*(4*s - 1)
Let a(l) be the second derivative of 0 + 0*l**2 + 1/6*l**3 - 42*l - 1/80*l**5 + 0*l**4. Factor a(x).
-x*(x - 2)*(x + 2)/4
Let y(u) = -5 + u**2 + 2*u - 5*u + 8. Let p be y(3). Determine s, given that -37*s**3 + 2*s + 5*s**p + 8*s**2 + 2*s = 0.
-1/4, 0, 1/2
Let s = -57809/31 + 1865. Let k = 55/124 - s. Let -3/4*n**4 - 3/4*n**3 - k*n**2 - 1/4*n**5 + 0*n + 0 = 0. What is n?
-1, 0
Let v = 26211 - 183427/7. Factor -v + 20/7*g - 2/7*g**2.
-2*(g - 5)**2/7
Let l(k) be the third derivative of k**10/16800 - k**9/20160 - k**8/2520 + k**7/1260 - 11*k**5/60 - k**2. Let o(f) be the third derivative of l(f). Factor o(y).
y*(y + 1)*(3*y - 2)**2
Let x(i) = i**2 - i - 8. Let d be x(4). Determine z, given that -40*z - 20 - 7*z**3 - 5*z**2 + 10*z**d + 15*z**4 + 42*z**3 + 5*z**5 = 0.
-2, -1, 1
Let j = 22 + -17. Find y, given that 63*y**4 + 7*y**5 + 27*y**3 - 9*y - 6*y**j + 29*y**5 - 15*y**2 = 0.
-1, -3/5, 0, 1/2
Let u(i) be the second derivative of -15*i + 0 - 25/7*i**2 - 1/42*i**4 + 10/21*i**3. Find w such that u(w) = 0.
5
Let i(w) be the second derivative of -w**4/30 - 23*w**3/5 + 14*w**2 + 138*w - 1. Factor i(k).
-2*(k - 1)*(k + 70)/5
Let a = -10422 - -10426. Solve 0 + 