(s + 2)**2
Let c(h) = -2*h**3 + 6*h**2 + 5*h - 4. Let a be c(-3). Suppose a*q = 118*q. Factor f**2 - f**4 + 0 + 1/2*f**5 - 1/2*f**3 + q*f.
f**2*(f - 2)*(f - 1)*(f + 1)/2
Let o(g) be the third derivative of -1/210*g**7 + 0*g**4 + 0 + 1/150*g**6 + 0*g - 1/300*g**5 + 105*g**2 + 1/840*g**8 + 0*g**3. Find s such that o(s) = 0.
0, 1/2, 1
Suppose -w - 2*u = -28, w = 2*w - 4*u + 2. Let y be w/15*35/14. Factor 0 + 0*g**2 + 1/7*g**5 + 4/7*g**4 + 3/7*g**y + 0*g.
g**3*(g + 1)*(g + 3)/7
Let 37/2*p**2 - 1/2*p**3 + 0 - 51*p = 0. Calculate p.
0, 3, 34
Let h be (-18)/55*16815/(-10089). What is f in h - 1/11*f**5 + 8/11*f**3 - 6/11*f**2 + 0*f**4 - 7/11*f = 0?
-3, -1, 1, 2
Suppose 5*c + b = 34, -5*c - 4*b - 10970 + 11061 = 0. Determine p, given that -200/3 + 2/3*p**c + 130/3*p - 28/3*p**2 = 0.
4, 5
Let v(a) = -a - 8. Let y be v(-15). Let m = y + -4. Factor -11 + 13 + 9*x + 5*x**m + x**4 + 9*x**2 - 2*x.
(x + 1)**3*(x + 2)
Factor 6/7*u**4 - 45/7*u**3 + 0 + 72/7*u**2 + 48/7*u.
3*u*(u - 4)**2*(2*u + 1)/7
Let f(q) be the third derivative of 0 + 1/12*q**4 + 21*q**2 - 1/90*q**5 + 0*q + 4/9*q**3. Determine p, given that f(p) = 0.
-1, 4
Let v be (11074/27685)/((-1 - (-2)/10)*12/(-16)). Let -v*u**2 + 8 - 16/3*u + 2/3*u**3 = 0. What is u?
-3, 2
Suppose -5*x - 5710 = -3*a - 1212, -5*x - 4494 = -4*a. Let u = 6326/7 + x. Factor -2/7*m**2 - 2/7*m + u.
-2*(m - 2)*(m + 3)/7
Let u(p) = -4*p**2 + 20*p - 14. Let n = -288 + 292. Let l be u(n). Let 1/4*i**l + 3/4*i + 0 = 0. Calculate i.
-3, 0
Let h(q) be the third derivative of q**5/160 - 981*q**4/32 + 962361*q**3/16 + 3635*q**2. Factor h(n).
3*(n - 981)**2/8
Let k(t) = 10*t**4 - 25*t**3 - 10*t**2 + 15*t + 20. Let q(o) = -3*o**4 + o**3 - o**2 + o. Let p(b) = k(b) + 5*q(b). Factor p(m).
-5*(m - 1)*(m + 1)*(m + 2)**2
Let y(k) be the first derivative of k**6/1440 + k**5/120 - 7*k**4/32 + 74*k**3/3 - k + 34. Let h(p) be the third derivative of y(p). Factor h(x).
(x - 3)*(x + 7)/4
Let f = 6126 - 3843. Let 57*o**2 + 103*o**3 + 18 - 21*o - 2274*o**5 + f*o**5 - 93*o**4 - 91*o + 18 = 0. What is o?
-1, 2/3, 1, 9
Let x(n) be the second derivative of -4/39*n**3 - 1/78*n**4 - 60*n + 0 - 4/13*n**2. Solve x(b) = 0.
-2
Let s(u) be the first derivative of u**6/3 - 4674. Determine a so that s(a) = 0.
0
Let r(b) be the second derivative of b**6/60 - 7*b**5/4 - 37*b**4/2 - 226*b**3/3 - 152*b**2 + 2578*b. Factor r(a).
(a - 76)*(a + 2)**3/2
Suppose 3*m + 123 = 3*a, -3*m - 123 = -5*a - 0*a. Let c = m + 44. Find o such that 19*o**c + 25*o**4 - 42*o**2 - 35*o - 154*o**3 - 5*o + 192*o**2 = 0.
0, 2/5, 1, 4
Find b such that 21*b**5 - 153*b**4 + 80*b**3 - 437*b**3 + 32*b**5 + 945*b - 294 + 1023*b**2 - 65*b**5 = 0.
-7, -1, 1/4, 2
Let l(c) = c. Let w(g) = 7*g - 9. Let z(u) = 18*l(u) - 2*w(u). Let o be z(18). Let o*r - 126*r - r**2 + 21*r**2 + 16 = 0. What is r?
4/5, 1
Suppose -2*l = -3*d - 2 + 8, l - 6*l = 0. Let m(p) be the first derivative of 5/4*p**4 + 5*p**3 - 3*p**5 - 29 - 5/2*p**d + 0*p. Factor m(y).
-5*y*(y - 1)*(y + 1)*(3*y - 1)
Let x(f) be the second derivative of f**5/540 + 11*f**4/216 + 5*f**3/27 + 32*f**2 - f - 1. Let l(k) be the first derivative of x(k). Factor l(j).
(j + 1)*(j + 10)/9
Let c(v) be the second derivative of 5*v**3 - 2 + v + 20*v**2 + 5/12*v**4. Determine p so that c(p) = 0.
-4, -2
Suppose 2*c = -5*s + 206, 5*c - 5*s + 93 = 6*c. Let a = c - 87. Factor 56*p**2 + 2*p**4 - a*p**2 + 3*p**4 + 35*p**3.
5*p**2*(p + 1)*(p + 6)
Let a be 2/(-4) + -21 + -16 + (-1125)/(-30). Factor -20/9*d**3 + 2*d**4 + 0*d + 2/9*d**5 + a + 0*d**2.
2*d**3*(d - 1)*(d + 10)/9
Let r(w) be the first derivative of -3*w**5/5 - 69*w**4/4 - 132*w**3 - 102*w**2 + 672*w + 1706. Solve r(t) = 0.
-14, -8, -2, 1
Solve -162 - 295*h + 3*h**2 + 103*h + 153*h + 114*h = 0.
-27, 2
Suppose 13*p = 528*p - 7481 + 7481. Factor 0 + p*d - 2/9*d**3 + 4/9*d**2 - 2/9*d**4.
-2*d**2*(d - 1)*(d + 2)/9
Let b(s) be the second derivative of -12*s + 1/75*s**6 + 0*s**4 + 2/15*s**3 - 1/25*s**5 - 1/5*s**2 - 10. Factor b(x).
2*(x - 1)**3*(x + 1)/5
Suppose -1049 = -5*t - 1034. Factor -i + i - 42*i**2 + 0 + 3*i - 3*i**t + 42.
-3*(i - 1)*(i + 1)*(i + 14)
Let c(f) be the first derivative of -25*f**4/54 - 73*f**3/27 + 2*f**2/3 - 192*f - 224. Let m(n) be the first derivative of c(n). Factor m(l).
-2*(l + 3)*(25*l - 2)/9
Let v = 49 + -39. Suppose 2*j - 4 = 2*m - 0, -5*j + v = 5*m. Factor -15*d**2 - 4*d + 8*d**2 + 8 + 3*d**j + 0*d**2.
-4*(d - 1)*(d + 2)
Let i be ((-2)/4)/((-19)/(-2736)*-18). Solve 0 - 2/3*g**i - 2/3*g**3 + 4*g**2 + 0*g = 0 for g.
-3, 0, 2
Let d be 49 + -53 + 5 + -3*4/(-12). Factor 26/9 + 2/9*n**d + 28/9*n.
2*(n + 1)*(n + 13)/9
Let r(z) be the third derivative of -z**8/1680 + z**6/90 - 2*z**3 - 3*z**2 + 20*z. Let w(l) be the first derivative of r(l). Solve w(t) = 0.
-2, 0, 2
Let -7*t**4 + 312*t**2 + 2800/3*t + 16/3*t**3 + 784 + 1/3*t**5 = 0. Calculate t.
-3, -2, 14
Let w(f) = -131*f**3 - 99*f**2 - 21*f - 2. Let x = -152 - -149. Let k(v) = v**3 + v**2 - v. Let s(i) = x*k(i) - w(i). What is h in s(h) = 0?
-1/4
Let q be (-10)/(-8) + ((-79569)/21132)/3. Let d = q + 1189/2935. What is f in -d*f - 7/5*f**2 - 3/5*f**3 + 0 = 0?
-2, -1/3, 0
Suppose 4*r + 0*r = -5*m + 41, -2*m = -4*r + 6. Factor 399*x**m - 196*x**5 - 204*x**5.
-x**5
Let k = -62 - -65. Solve -273*t - 563*t - 7*t**k + 2*t**3 + 136*t - 1960 + 130*t**2 = 0 for t.
-2, 14
Let t = -95393 + 286189/3. Let n be 2 - (2/6 - 0). Factor 5/3*p**2 + n - t*p.
5*(p - 1)**2/3
Let w(f) be the third derivative of 0*f - 83*f**2 + 0 + 1/3*f**3 + 1/240*f**5 - 1/16*f**4. Find s, given that w(s) = 0.
2, 4
Determine i, given that 1914/7*i**2 + 132*i**4 - 684/7*i + 24/7 - 2025/7*i**3 - 153/7*i**5 = 0.
2/51, 1, 2
Suppose 6024 = 2475*g - 3167 + 1766. Factor 176/5*n + 36/5 - 5*n**g + 41*n**2.
-(n - 9)*(5*n + 2)**2/5
Find q such that -24*q**5 + 40*q**4 + 35/2*q**3 - 5/2*q**2 + 0 - q = 0.
-1/3, -1/4, 0, 1/4, 2
Let g be (-2)/(-4)*(21 + 240/(-16)). Let m(z) be the second derivative of 0 - 2/15*z**6 + 0*z**5 + 2*z**4 - 5*z - 16/3*z**g + 6*z**2. Solve m(t) = 0.
-3, 1
Let x(u) be the third derivative of -u**6/3240 + u**5/1080 - u**3/3 + 2*u**2 + 4. Let l(z) be the first derivative of x(z). Factor l(d).
-d*(d - 1)/9
Suppose 77*z + 30 = 78*z. Factor 9*n + 11*n + z*n**3 - 45*n**2 - 3603*n**4 + 3598*n**4.
-5*n*(n - 4)*(n - 1)**2
Factor 4*g**3 - 6122*g + 11236*g + 724*g**2 - 5842*g.
4*g*(g - 1)*(g + 182)
What is m in -1/3*m**4 - 1/6*m**5 - 5/2*m + 19/3*m**2 + 8/3*m**3 - 6 = 0?
-3, -1, 1, 4
Let x(r) = r**3 - 4*r**2 + r - 2. Let l be x(4). Let q be ((-12)/60)/((4/80)/(3/(-9))). Factor -6*k + q + 20/3*k**l - 2*k**3.
-2*(k - 2)*(k - 1)*(3*k - 1)/3
Let f(a) = -4*a**2 - 57*a + 48. Let z(y) = y**3 - 10*y**2 - 5*y + 111. Let b be z(9). Let r be f(b). Factor 1/2*i**r - i - 1/2*i**2 + 0.
i*(i - 2)*(i + 1)/2
Suppose m = -5*d - 0*m + 40, 5*m + 10 = 5*d. Let y(t) be the second derivative of 0 - 1/9*t**4 + 0*t**2 - 1/18*t**3 + d*t. Factor y(u).
-u*(4*u + 1)/3
Determine g so that -588*g - 73*g**3 + 255*g**4 - 89 + 158*g**3 + 1068*g**2 - 6*g**5 + 206 - 931*g**3 = 0.
1/2, 1, 39
Let c be (-15)/(-9)*(-585)/(-15). Let x(w) be the first derivative of -29 + 15/4*w**4 - c*w**2 + 25/3*w**3 + 40*w. Let x(m) = 0. What is m?
-4, 1/3, 2
Let h be -2*25/20*6. Let p be (h/(-5))/(3/2). Factor 12 - 4*s**2 - 7*s**2 - 48 - 42*s - 2*s**3 - 5*s**p.
-2*(s + 2)*(s + 3)**2
Let i = -3645 - -18227/5. Let s(k) be the first derivative of 0*k**2 + 0*k + 0*k**3 + 13 + 3/2*k**4 + i*k**5. Find c, given that s(c) = 0.
-3, 0
Let t be (-111 - -116) + (208/(-24))/2. Let 20/3 - 26/3*j - 4/3*j**4 + 28/3*j**3 - 16/3*j**2 - t*j**5 = 0. Calculate j.
-5, -1, 1, 2
Suppose -3*q - 4*c - 1851 = 0, 4*q + 4*c - 150 = -2622. Let d = q - -625. Factor -2/13*g**5 - 8/13*g**d + 0*g - 4/13*g**2 + 0 - 10/13*g**3.
-2*g**2*(g + 1)**2*(g + 2)/13
Let l be (-1596)/(-2660) + (4/10 - -2). Factor 0*k + 4/7*k**4 + 0 - 24/7*k**l + 20/7*k**2.
4*k**2*(k - 5)*(k - 1)/7
Let l(g) be the first derivative of -15*g - 1/4*g**2 + 1/8*g**4 + 318 + 5*g**3. Determine t so that l(t) = 0.
-30, -1, 1
Let s(p) be the third derivative of 0*p + 4/5*p**3 + 1/30*p**5 - 17/60*p**4 - 4*p**2 + 35. Factor s(t).
2*(t - 1)*(5*t - 12)/5
Factor 1/7*t**2 + 0 + 208/7*t.
t*(t + 208)/7
Let r(b) = -4*b**2 + 94*b + 50. Let z be r(24). Solve -96 + 8*f**z - f**2 - 4*f**2 + 30 + 29*f - 2*f = 0 