= 3*y**3 - 6*y - 24. Let n(z) = -13*q(z) + 6*t(z). Let n(d) = 0. What is d?
-2, 2
Let r = -1027/4 + 257. Let t(q) be the first derivative of -r*q**3 + 5 - 3/16*q**4 + 3/20*q**5 + 3/8*q**2 + 0*q. Determine f so that t(f) = 0.
-1, 0, 1
Factor -w**3 - 22*w + 0*w**3 + 0*w**3 + 36*w**2 - 18*w + 5*w**3.
4*w*(w - 1)*(w + 10)
Let k = -2/267 + 2146/1335. Let w(j) be the first derivative of k*j + 2/15*j**3 + 4/5*j**2 + 5. Factor w(i).
2*(i + 2)**2/5
Let c be 0 + 171/18 + (-2)/4. Let w be 18/(-4)*(-4)/c. Factor -1/2 + 1/2*l**w - 1/2*l**3 + 1/2*l.
-(l - 1)**2*(l + 1)/2
Let z(k) be the third derivative of k**8/1344 + k**7/280 - k**6/480 - 7*k**5/240 + k**3/6 - 55*k**2. Find f, given that z(f) = 0.
-2, -1, 1
Suppose 4*r - 4 = 4*g, -94*g = -97*g - r + 1. Factor -1/5*f**3 - 1/5*f**2 + g + 0*f.
-f**2*(f + 1)/5
Let g(j) be the second derivative of j**5/240 + 7*j**4/48 + 49*j**3/24 + j**2/2 - 8*j. Let x(u) be the first derivative of g(u). Factor x(v).
(v + 7)**2/4
Let w = -251 + 526. Let s = 277 - w. Factor 0*n - 2/3*n**s + 0.
-2*n**2/3
Suppose -2*u - 5 = 3*c, -3*u + c + 15 = -2*c. Factor -5*o**2 - 13*o - 4*o + 10*o**u + 20 - 3*o.
5*(o - 2)**2
Let g(c) = -c**2 + 4*c. Let d(k) = -4*k**3 - 4*k**2 + 8*k + 288. Let w(t) = -d(t) - 24*g(t). Factor w(a).
4*(a - 4)*(a + 2)*(a + 9)
Let g(a) be the third derivative of a**8/112 - a**7/14 + 3*a**6/20 + a**5/10 - 7*a**4/8 + 3*a**3/2 - 32*a**2 - 14. What is y in g(y) = 0?
-1, 1, 3
Let f be (54/990)/(-5 - 202/(-40)). Factor 0 + 6/11*h**2 - 6/11*h**3 + f*h.
-6*h*(h - 2)*(h + 1)/11
Suppose -m - 14 = -5*z - 6, z = 2*m - 2. Solve -4/7*c - 6/7*c**3 + 0 + 2/7*c**5 - 10/7*c**m + 2/7*c**4 = 0.
-1, 0, 2
Suppose -33 + 5/2*y + 1/2*y**2 = 0. What is y?
-11, 6
Let h(a) be the second derivative of a**7/14 - 2*a**6/5 + 3*a**5/20 + 5*a**4/2 - 2*a**3 - 12*a**2 - 141*a. Let h(z) = 0. Calculate z.
-1, 2
Solve 16/7*v**2 - 1/7*v**4 + 48/7*v + 0 - 3/7*v**3 = 0.
-4, -3, 0, 4
Let d(u) be the second derivative of -u**6/180 - u**5/10 - 3*u**4/4 - 4*u**3/3 + u. Let z(l) be the second derivative of d(l). Let z(m) = 0. What is m?
-3
Let d be 1*((-426)/781 + 12/22)*1. Factor d - l**4 - 4/3*l + 5/3*l**3 + 4/3*l**2.
-l*(l - 2)*(l + 1)*(3*l - 2)/3
Let q(l) be the second derivative of -l**5/90 + l**4/12 - 2*l**3/9 + 3*l**2/2 - 11*l. Let d(w) be the first derivative of q(w). Factor d(j).
-2*(j - 2)*(j - 1)/3
Suppose -2*c = -7*c + 35. Find z, given that 3*z - c*z**2 - 2*z**2 - 3*z**2 + z = 0.
0, 1/3
Let a be (-266)/(-5) + 21/35. Let p = 54 - a. Determine m so that 0*m + 0 + p*m**4 + 1/5*m**2 - 2/5*m**3 = 0.
0, 1
Let m(l) = -34*l - 3*l**3 + 8*l - 36*l**2 - 7*l**3 - 4. Suppose -33 = 17*r + 35. Let b(p) = p**3 - p**2 - p. Let v(c) = r*b(c) + m(c). Factor v(x).
-2*(x + 1)**2*(7*x + 2)
Let l(j) be the first derivative of 135*j**7/14 + 21*j**6 + 13*j**5/4 - 35*j**4/3 + 10*j**3/3 + 15*j + 6. Let p(d) be the first derivative of l(d). Factor p(i).
5*i*(i + 1)**2*(9*i - 2)**2
Suppose 4*y = -2*a + 2, -a + 199 = -2*y + 210. Factor -7/5*w - 1/5*w**4 - 2/5 - 9/5*w**2 - w**y.
-(w + 1)**3*(w + 2)/5
Let s(v) = -v**2 - 4*v - 1. Let h be s(-2). Let r(b) be the third derivative of 0*b**h + 1/420*b**5 + 0 - 1/168*b**4 + 0*b - 2*b**2. Factor r(w).
w*(w - 1)/7
Let o(h) be the first derivative of -h**6/21 - 18*h**5/35 - 27*h**4/14 - 18*h**3/7 + 46. Determine i so that o(i) = 0.
-3, 0
Suppose -3*m + 13 = 1. Suppose 4*b + m*t - 3*t = 11, -5*b + 4 = -2*t. Suppose b*v - 2 + 6*v**2 - 7*v**2 - 3*v - 2*v = 0. What is v?
-2, -1
Let z(a) be the third derivative of a**2 - 1/12*a**5 + 0*a - 5/24*a**4 + 0 + 0*a**3. Factor z(m).
-5*m*(m + 1)
Let f(d) be the first derivative of d**4/18 - 16*d**3/27 + 13*d**2/9 - 4*d/3 + 528. Let f(c) = 0. What is c?
1, 6
Let w = 551/648 + 2/81. Factor 3/8*u + w*u**3 - 1/4 + 3/2*u**2.
(u + 1)**2*(7*u - 2)/8
Let g(t) be the second derivative of -t**7/84 + t**6/30 + 3*t**5/40 - t**4/3 + t**3/3 + t - 1. What is d in g(d) = 0?
-2, 0, 1, 2
Suppose -26*c = -34*c + 16. Solve 24*p**2 + 26*p + 13*p + p**3 + 18 + c*p**3 = 0 for p.
-6, -1
Let j = -3854 + 3854. Suppose -10/11*s**2 - 2/11*s + 12/11*s**3 + j = 0. Calculate s.
-1/6, 0, 1
Suppose 9 = -9*d + 27. Factor -4*q**3 - 65*q**d + 26*q - 97*q + 9*q**2 - 125*q.
-4*q*(q + 7)**2
Suppose -4*f = 8*f - 336. Suppose 13*i - f = 6*i. Factor 0 + 0*k - 2/15*k**5 - 2/15*k**2 - 2/5*k**i - 2/5*k**3.
-2*k**2*(k + 1)**3/15
Let l(k) be the third derivative of -k**6/780 - k**5/13 - 75*k**4/52 + 55*k**2. Suppose l(v) = 0. Calculate v.
-15, 0
Let w(g) be the second derivative of -g**5/140 + 3*g**4/28 - 9*g**3/14 - 11*g**2/2 - 7*g. Let t(a) be the first derivative of w(a). Factor t(r).
-3*(r - 3)**2/7
Find a such that 0 - 2/11*a**2 + 0*a + 2/11*a**5 + 2/11*a**4 - 2/11*a**3 = 0.
-1, 0, 1
Factor -34/11*v - 2/11*v**3 - 16/11 - 20/11*v**2.
-2*(v + 1)**2*(v + 8)/11
Let p(s) be the first derivative of -6*s**5/35 + 15*s**4/7 - 74*s**3/7 + 180*s**2/7 - 216*s/7 - 200. Factor p(c).
-6*(c - 3)**2*(c - 2)**2/7
Let u(b) be the third derivative of b**8/378 - b**7/63 - 8*b**6/135 + 11*b**5/90 + 5*b**4/54 + 206*b**2. Solve u(q) = 0 for q.
-2, -1/4, 0, 1, 5
Let r(q) be the third derivative of 0*q - 1/24*q**5 - 4*q**2 - 125/12*q**3 + 0 + 25/24*q**4. Find d, given that r(d) = 0.
5
Let h be (6/12)/((-2)/(-68)). Suppose h*d - 23*d = 0. Let -8/3*g**5 + 2/3*g**3 + 0 + d*g**2 + 2*g**4 + 0*g = 0. What is g?
-1/4, 0, 1
Let x(p) be the third derivative of 8*p**7/105 - 26*p**6/15 + 47*p**5/5 + 91*p**4/3 + 98*p**3/3 + 56*p**2. Factor x(m).
4*(m - 7)**2*(2*m + 1)**2
Suppose -1520 + 660*c - 468*c**2 + 636*c - 4*c**4 + 224 + 72*c**3 = 0. What is c?
3, 6
Let v(t) = -2*t**2 - t + 2. Let b(i) = -3*i**2 - 18*i + 68. Let u(g) = 2*b(g) - 4*v(g). Factor u(p).
2*(p - 8)**2
Let c = -5831/20 - -1459/5. Factor 1/8*o**5 + 0 + 0*o + 1/4*o**2 - c*o**4 - 1/8*o**3.
o**2*(o - 2)*(o - 1)*(o + 1)/8
Let g(h) be the first derivative of 4*h**3/9 - 46*h**2/3 - 32*h - 18. Factor g(r).
4*(r - 24)*(r + 1)/3
Let x(h) be the third derivative of h**7/525 - 7*h**6/75 + h**5/6 + 9*h**4/10 - 5*h**2 + 9*h. Suppose x(i) = 0. Calculate i.
-1, 0, 2, 27
Let a = 0 + 0. Suppose -403*m + 386*m = -68. What is y in 8/5*y**3 + 1/5*y**5 + 0*y - 4/5*y**2 + a - y**m = 0?
0, 1, 2
Let c(f) = 16*f**3 + 11*f**2 - 5*f + 4. Let z(a) = -15*a**3 - 11*a**2 + 4*a - 3. Let b(r) = -3*c(r) - 4*z(r). Determine m so that b(m) = 0.
-1, 0, 1/12
Factor 1/4*n**4 + 7/2*n**2 + 11*n - 18 - 11/4*n**3.
(n - 9)*(n - 2)**2*(n + 2)/4
Factor 78 + 27*q**2 + 3/2*q**3 + 207/2*q.
3*(q + 1)*(q + 4)*(q + 13)/2
Let x(j) be the first derivative of -j**4/60 - j**3/30 + 3*j**2/5 + 25*j - 35. Let c(q) be the first derivative of x(q). Find r such that c(r) = 0.
-3, 2
Let x(o) be the second derivative of o**5/20 - 23*o**4/12 - o**3/6 + 25*o**2/2 + 6*o + 2. Let y be x(23). Factor 1/2*m**3 - 1/2*m + 1/2 - 1/2*m**y.
(m - 1)**2*(m + 1)/2
What is i in 0*i**3 - 32*i - 108*i + 27*i**3 - 2*i**3 - 340*i**2 = 0?
-2/5, 0, 14
Factor -15*o**4 - 3*o**2 + 11*o + 6*o**3 - 17*o + 18*o**4.
3*o*(o - 1)*(o + 1)*(o + 2)
Let k be (((-144)/(-20))/6)/(6/15). Suppose -k*c + 4*r = 5, c = 2*c - r. Solve -28/3*w**3 - 32/3*w**2 - 2/3*w**c - 4/3 - 6*w - 4*w**4 = 0.
-2, -1
Let d = 61 + -57. Factor 3*s**3 - d*s**3 - 2*s**5 - 2*s**4 - 5*s**2 + 7*s**2 + 3*s**3.
-2*s**2*(s - 1)*(s + 1)**2
Let j = -2993 - -2995. Factor -1/5*c**2 - 5 - j*c.
-(c + 5)**2/5
Let m be ((-425)/(-35) + -1)*-7. Let i be 4/(-6) - m/63. Find v such that 36/7 + i*v**2 + 24/7*v = 0.
-3
Let p be 165/(-77) - -2 - (-35)/49. What is v in 0*v + 0 + 10/7*v**3 - 6/7*v**4 + p*v**2 = 0?
-1/3, 0, 2
Let p be 432/(-2484)*(-46)/4. Let -1/5*j**3 - 4/5*j**p - j - 2/5 = 0. Calculate j.
-2, -1
Let z = -4602 + 87454/19. Factor -2*r + 12/19 + 10/19*r**3 + z*r**2.
2*(r - 1)*(r + 3)*(5*r - 2)/19
Let y(m) be the second derivative of 1/273*m**7 - 1/39*m**4 + 1/195*m**6 - 1/65*m**5 - 2*m + 1/13*m**2 + 0 + 1/39*m**3. Factor y(h).
2*(h - 1)**2*(h + 1)**3/13
Solve -8/7*s**2 - 12/7*s**3 + 0 + 10/7*s + 2/7*s**5 + 8/7*s**4 = 0.
-5, -1, 0, 1
Let s be 3/(-12)*2 - (-10)/4. Let b = 811/45 - 89/5. Let -b*k**4 + 0 + 0*k**3 + 2/9*k**s + 0*k = 0. What is k?
-1, 0, 1
Let z(d) = 4*d**2 - d + 1. Let i(u) = 6*u**2 + 18*u + 114. Let t(x) = -2*i(x) + 4*z(x). Solve t(q) = 0 for q.
-4, 14
Let w(s) be the third derivative of s**6/60 - 2*s**5/5 + 3*s**2 + 12*s. Factor w