**5/5 + 9*j**4/2 - 224*j**3/9 - 92*j**2 - 96*j + 580. What is c in z(c) = 0?
-4, -1, 6
Suppose 4*k - 17 = -5. Solve 4 + k*c - 20*c**2 + 7*c**3 + c**2 + 5*c + 0*c**2 = 0 for c.
-2/7, 1, 2
Factor -o + 11*o + 5*o**5 - 35*o**2 - 80*o**4 + 55*o**4 + 54*o**3 - 9*o**3.
5*o*(o - 2)*(o - 1)**3
Let g be (-9 - (-12 + 15))*(-1)/20. Let b(v) = v**3 - 2*v**2 - 2*v. Let d be b(3). Let 3/5 - 3/5*u**2 + g*u**d - 3/5*u = 0. What is u?
-1, 1
Let q be ((-8)/(-3))/(6/9). Let o(k) be the first derivative of q*k**3 - 11 - 15*k**2 + 8*k**3 - 16*k**3 + 5*k**3 + 75*k. Factor o(z).
3*(z - 5)**2
Let n(w) be the second derivative of 7*w**6/15 + 13*w**5/5 - 55*w**4/42 + 4*w**3/21 + w + 94. Let n(x) = 0. Calculate x.
-4, 0, 1/7
Let o(m) be the second derivative of -m**7/525 + m**5/50 - m**4/30 - 31*m**2/2 + 19*m. Let h(c) be the first derivative of o(c). Suppose h(y) = 0. What is y?
-2, 0, 1
Let i(o) be the first derivative of 121*o**5 - 385*o**4/4 - 200*o**3/3 - 10*o**2 + 192. Determine t so that i(t) = 0.
-2/11, 0, 1
Let s be (-3)/(-12) + 19/4. Suppose 4*k = -5*c + 15, -5*c - 3*k + 15 = -s*k. Factor 8*d - 7*d**2 + 4 + 14*d**2 - c*d**2.
4*(d + 1)**2
Let n(j) = -j**3 + 6*j**2 + 8*j - 6. Let h be n(7). Let m = 3 + h. Solve -2*v**m + 3*v**4 - v**2 + 0*v + 0*v = 0 for v.
-1, 0, 1
Let h be 228/42 + 9/(-21). Factor -4*x**3 - 5*x**2 + h*x**2 - 18*x**4.
-2*x**3*(9*x + 2)
Let k = -70463/6 - -11744. Factor -k*f - 1/3*f**2 + 1/2.
-(f - 1)*(2*f + 3)/6
Suppose -2058 = 155*n - 161*n. Let m = -339 + n. Determine u so that 0*u**3 - 4/5*u**2 - 2/5*u**5 + 4/5*u**m + 0 + 2/5*u = 0.
-1, 0, 1
Let o(y) = -y**3 - 54*y**2 + 181*y + 573. Let s be o(-57). Let 2/7 - 2/7*h**2 + 2/7*h**s - 2/7*h = 0. What is h?
-1, 1
Let j(y) be the third derivative of y**7/420 + y**6/180 - y**5/30 + 5*y**3/6 - 9*y**2. Let s(q) be the first derivative of j(q). Let s(b) = 0. Calculate b.
-2, 0, 1
Let n = -500 + 500. Let z(a) be the first derivative of 1/5*a**5 + 1 - 1/6*a**6 + 0*a + 0*a**4 + n*a**2 + 0*a**3. Suppose z(o) = 0. What is o?
0, 1
Let k(b) = b**2 + 11*b - 23. Let i be k(-13). Suppose 0 = i*w + 9 - 21. Let 1/2*u**2 + 1/2*u + 0 - 1/2*u**w - 1/2*u**3 = 0. What is u?
-1, 0, 1
Let t be ((-6)/15)/(1/(-10)*2). Suppose 0 = -4*g + k - 1, 0 = 3*k + t - 5. Determine l, given that -2/5*l**3 + g*l - 2/5*l**2 + 0 = 0.
-1, 0
Let u(c) be the third derivative of 0 - 3*c**2 + 0*c + 1/6*c**5 + 1/72*c**6 + 20/9*c**3 + 5/6*c**4. Factor u(b).
5*(b + 2)**3/3
Let u(h) = -30*h**3 - 21*h**2 + 27*h + 24. Let k(o) = -o**4 - o**2 + o + 1. Let p(l) = 3*k(l) + u(l). Determine c, given that p(c) = 0.
-9, -1, 1
Let z(o) = -12*o**3 + 9*o**2 - 9. Let h(g) = 11*g**3 - 8*g**2 - g + 8. Let p be (-4)/(-14) - 297/(-63). Let u(w) = p*z(w) + 6*h(w). Factor u(k).
3*(k - 1)*(k + 1)*(2*k - 1)
Factor 81/5 + 3/5*x**2 + 36/5*x.
3*(x + 3)*(x + 9)/5
Let w(t) be the third derivative of t**8/840 - 2*t**7/175 + 16*t**5/75 - 2*t**2 - 76*t. Suppose w(q) = 0. What is q?
-2, 0, 4
Factor 9/5 + 3/5*y + 1/5*y**3 - y**2.
(y - 3)**2*(y + 1)/5
Let z(q) be the third derivative of q**5/30 - q**4/4 + q**3/6 - 7*q**2. Let s be z(5). Solve 4*o**3 + 4 + 11*o - s*o + 2*o**3 - 8*o**2 = 0 for o.
-1, 1/3, 2
Let g = -93 - -95. Suppose g = 5*b - 3, -3*c + 3 = -3*b. Solve -c*h**3 + 0*h + 4/5*h**2 + 8/5*h**4 + 0 - 2/5*h**5 = 0 for h.
0, 1, 2
Let m(o) = o**2 - 9*o + 8. Let z be m(8). Suppose 10*r + 24 = x + 5*r, -5*x + r = -24. Solve -3/2*t**x + z*t**3 + 0 + 0*t + 3/2*t**2 = 0 for t.
-1, 0, 1
Let j(l) be the second derivative of -l**4/3 + 38*l**3/3 - 180*l**2 + 784*l. Factor j(h).
-4*(h - 10)*(h - 9)
Let m(r) = -3*r**3 - 14*r**2 - 2*r**3 + 17*r**2 + 2*r. Let n(d) = -51*d**3 + 30*d**2 + 21*d. Let l(f) = 21*m(f) - 2*n(f). Find s such that l(s) = 0.
0, 1
Let h = -71 + 191. Let k be h/25 - 3/(-15). Find c, given that 4*c**3 - 4*c + k*c**3 + 4*c**2 - 10*c**3 = 0.
0, 2
Let t(h) be the first derivative of h**3/15 - h**2/2 + 48. Factor t(d).
d*(d - 5)/5
Suppose 459*p - 464*p + 21 = 4*a, -3*a + 5*p + 7 = 0. What is s in 1/4*s + 1/4 + 1/4*s**5 - 1/2*s**3 - 1/2*s**2 + 1/4*s**a = 0?
-1, 1
Let k = -168 - 80/3. Let c = -192 - k. Let -c*u + 2/3*u**2 + 8/3 = 0. What is u?
2
Let v(l) be the second derivative of -l**4/72 + 17*l**3/18 - 265*l. Factor v(g).
-g*(g - 34)/6
Let y(p) be the first derivative of 2*p**3/15 - 8*p/5 + 94. Let y(n) = 0. What is n?
-2, 2
Let r(g) be the second derivative of g**6/90 - 47*g**5/15 + 2209*g**4/6 - 207646*g**3/9 + 4879681*g**2/6 - 125*g + 2. Find n, given that r(n) = 0.
47
Let d(y) be the third derivative of y**8/2240 - y**7/840 + 2*y**4/3 + 12*y**2. Let o(k) be the second derivative of d(k). Factor o(v).
3*v**2*(v - 1)
Let q(o) be the first derivative of 0*o - 5/4*o**2 + 2 - 5/12*o**3. Factor q(j).
-5*j*(j + 2)/4
Let y(v) = -46*v**3 + 156*v**2 + 362*v + 182. Let t(j) = -2*j**3 + 2*j + 1. Let c(u) = -44*t(u) + 2*y(u). Factor c(d).
-4*(d - 80)*(d + 1)**2
Let g(r) be the first derivative of 8/33*r**3 + 4/11*r**2 + 8 + 1/22*r**4 + 0*r. Suppose g(s) = 0. Calculate s.
-2, 0
Let z be 15/140 + 12/84. Factor 0 - 3/4*y + 1/4*y**2 - z*y**4 + 3/4*y**3.
-y*(y - 3)*(y - 1)*(y + 1)/4
Let b(l) be the first derivative of 4*l**4 - 8*l + 8 + 10*l**2 + 44/3*l**3. Factor b(o).
4*(o + 1)*(o + 2)*(4*o - 1)
Determine r, given that -1/2*r - 1 + 1/2*r**2 = 0.
-1, 2
Let d(o) be the first derivative of -o**7/105 - 2*o**6/75 - o**5/50 - 15*o - 2. Let g(p) be the first derivative of d(p). Factor g(b).
-2*b**3*(b + 1)**2/5
Let r(d) be the first derivative of -d**3/3 + 16*d**2 - 256*d + 84. Factor r(m).
-(m - 16)**2
Let s(u) = -u**2 - u + 27. Let f be s(0). Let c = -27 + f. Factor c - 2/5*n - 2/5*n**3 + 4/5*n**2.
-2*n*(n - 1)**2/5
Let b(i) be the second derivative of 4/21*i**3 + 3/7*i**2 + 1/42*i**4 + 0 + 15*i. Factor b(d).
2*(d + 1)*(d + 3)/7
Suppose -h - l = 3*l - 10, -3*h - l = -8. Let t = 992/21 - 140/3. Solve 2/7*q**4 - 2/7*q**3 + 0 + 0*q - t*q**h = 0 for q.
-1, 0, 2
Let i(f) = -f**2 + f. Let l(a) = -a**2 - 1. Let q(m) = 55*m**2 - 16*m + 5. Let t(o) = 4*l(o) + q(o). Let h(z) = -2*i(z) - t(z). Factor h(d).
-(7*d - 1)**2
Let x = 69/196 - 5/49. Let w(v) be the second derivative of 1/24*v**4 - x*v**3 - 5*v + 1/2*v**2 + 0. Factor w(d).
(d - 2)*(d - 1)/2
Let t(v) be the first derivative of -v**5/15 + v**4/3 - 2*v**3/3 + 2*v**2/3 - 3*v - 4. Let m(c) be the first derivative of t(c). Factor m(l).
-4*(l - 1)**3/3
Let n(c) be the third derivative of 5*c**2 + 0*c + 0*c**5 - 1/6*c**3 - 1/16*c**4 + 0 + 1/240*c**6. Solve n(x) = 0 for x.
-1, 2
Let k be ((-1)/(-14))/((-2*22/77)/(-6)). Let k*g**2 + 3*g + 3 = 0. Calculate g.
-2
Let v(r) = -3*r**2 + 16*r + 14. Let l(c) = -12*c**2 + 66*c + 57. Let s(o) = 5*l(o) - 21*v(o). Determine q so that s(q) = 0.
-1, 3
Suppose -10 - 2/5*f**2 - 52/5*f = 0. Calculate f.
-25, -1
Let n(t) = 14*t**2 - 6*t - 2. Let v(m) = 12*m**2 - 6*m - 3. Let x(b) = -5*n(b) + 6*v(b). Determine c, given that x(c) = 0.
-1, 4
Let t(d) = d - 1. Let s be t(5). Find z, given that -z**3 + 23*z**2 + 5*z**3 + z**5 + 2*z**3 - 19*z**2 + z + s*z**4 = 0.
-1, 0
Let v(p) be the first derivative of p**6/6 + 2*p**5 - p**4 - 40*p**3/3 + 165. Find o such that v(o) = 0.
-10, -2, 0, 2
Suppose -4*c - 5*k = 2 + 2, 3*k = c - 16. Let a = c + 1. Factor 7 - a*f**2 + 3 - 7 + 2*f**2.
-3*(f - 1)*(f + 1)
Let h(f) = 8*f**2 - 8*f - 18. Let s(c) = 9*c**2 - 9*c - 18. Let m(i) = 6*h(i) - 5*s(i). Factor m(j).
3*(j - 3)*(j + 2)
Let r(w) = 6*w + 8. Let a be r(9). Let u be (-6)/(-33) - a/(-22). Let -4*h**3 + h**3 + 0*h**u = 0. Calculate h.
0
Let p(f) be the second derivative of f**6/75 - 7*f**5/50 - f**4/10 + 23*f**3/15 - 14*f**2/5 + 2*f - 93. Factor p(s).
2*(s - 7)*(s - 1)**2*(s + 2)/5
Let h(k) be the second derivative of k**7/105 - 2*k**6/25 - k**5/25 + 2*k**4/5 + k**3/15 - 6*k**2/5 - 9*k - 7. Suppose h(g) = 0. What is g?
-1, 1, 6
Let x be 2 - 12/992*(-4204)/(-27). Let l = -1/186 + x. Factor 1/9*w**4 + 0 - 2/9*w**3 + 2/9*w - l*w**2.
w*(w - 2)*(w - 1)*(w + 1)/9
Let c(f) be the second derivative of -1/6*f**5 - 13*f + 5/36*f**4 + 5/9*f**3 - 1/18*f**6 + 0*f**2 + 0. Factor c(g).
-5*g*(g - 1)*(g + 1)*(g + 2)/3
Factor 4*l**3 - 22*l + 2*l**4 + 18*l - 4*l**2 - 49*l**5 + 48*l**5 - l**3.
-l*(l - 2)**2*(l + 1)**2
Suppose -2 = 32*g - 2. Let q(s) be the second derivative of -s + g + 0*s**2 - s**3 - 1/4*s**4. Factor q(i).
-3*i*(i + 2)
Let a(x) =