s**3 + 186*s**2 - 173*s - 49. Let r(x) = 7*f(x) - 4*g(x). Factor r(q).
-3*q*(q - 5)*(q - 3)*(q - 2)
Let o(u) = 4*u**2 - 3*u - 4. Let r(a) = 14*a - 11. Let y(x) = -x - 38 + 42 - 4*x. Let n(t) = 4*r(t) + 11*y(t). Let s(q) = 3*n(q) + o(q). Factor s(v).
4*(v - 1)*(v + 1)
Suppose 8 = 3*b - 7. Let t(q) = q**2 + 7*q + 4. Let o be t(-7). Solve o*p - 2*p**2 + 8 - b - 10*p**3 + 6*p**5 - 3 + 2*p**4 = 0.
-1, 0, 2/3, 1
Let k be ((-1)/1)/(-5 + (-85 - 12)). Let b(x) be the second derivative of -k*x**4 - 1/17*x**3 + 4/17*x**2 - 20*x + 0. What is w in b(w) = 0?
-4, 1
Let g(a) be the second derivative of -5*a**7/42 - 7*a**6/6 - a**5/2 + 35*a**4/3 + 20*a**3 - 19*a + 20. Suppose g(f) = 0. Calculate f.
-6, -2, -1, 0, 2
Let u(z) be the first derivative of -27*z**4 - 12332*z**3 + 24688*z**2/3 - 5488*z/3 + 3525. Suppose u(h) = 0. What is h?
-343, 2/9
Let o(q) be the third derivative of q**7/3780 + q**6/270 - 7*q**5/540 + 53*q**3/6 + 95*q**2. Let g(z) be the first derivative of o(z). Factor g(t).
2*t*(t - 1)*(t + 7)/9
Let a be (-66)/9 + 2 + 18/(17 + -14). Factor 4/9*y**2 + 0 + a*y - 2/9*y**3.
-2*y*(y - 3)*(y + 1)/9
Let g be (-16995)/8652*5952/(-20). Factor -2232/7*h + 726/7*h**4 + 4974/7*h**2 + g*h**3 + 216/7.
6*(h + 3)**2*(11*h - 2)**2/7
Let q(c) be the first derivative of c**4/36 - 7*c**3/6 + 19*c**2/3 + 150*c - 138. Let r(s) be the first derivative of q(s). Determine d so that r(d) = 0.
2, 19
Let i = 312132 - 312130. Let m be (-4)/10 + 188/70. Factor m + 12/7*f - 4/7*f**i.
-4*(f - 4)*(f + 1)/7
Let q be ((-100)/6)/(-10)*3. Suppose 9*n - 11*n = -q*x + 21, 4*x - 24 = -2*n. What is i in 0*i + 0 - 5/3*i**3 + 10/3*i**n = 0?
0, 2
Let j(v) be the second derivative of 0*v**3 + 32/3*v**4 - 38/5*v**5 - 8*v + 0 - 16*v**2 - 5/21*v**7 + 11/5*v**6. Suppose j(a) = 0. Calculate a.
-2/5, 1, 2
Let d(h) = 2*h**2 + 9*h - 11. Let v(m) = m + 1. Let o(q) = -3*q - 6. Let x be o(-5). Suppose -x*t + 91 = 1. Let f(z) = t*v(z) - 2*d(z). What is j in f(j) = 0?
-4, 2
Factor 0 - 4054/3*s**3 + 308/9*s**4 - 2/9*s**5 + 23408/9*s**2 - 11552/9*s.
-2*s*(s - 76)**2*(s - 1)**2/9
Let t(r) be the first derivative of 131 + 9/2*r - 9/8*r**2 + 1/12*r**3. Factor t(k).
(k - 6)*(k - 3)/4
Factor 460/3 + 220/3*j - 5/3*j**2.
-5*(j - 46)*(j + 2)/3
Let m(c) be the second derivative of c**6/10 + 141*c**5/20 + 203*c**4/2 + 180*c**3 + 8632*c. Let m(g) = 0. What is g?
-36, -10, -1, 0
Let t be 612/561 - 200724/(-3311). Suppose -t*i + 4/7*i**4 + 360/7*i**2 - 864/7 - 68/7*i**3 = 0. Calculate i.
-1, 6
Let j(m) be the second derivative of m**5/80 + 7*m**4/16 + 21*m**2/2 + 246*m. Let u(f) be the first derivative of j(f). Solve u(n) = 0 for n.
-14, 0
Let f = -51 - -47. Let u(a) = -7*a**3 - 4*a**2 + 17*a - 15. Let x(v) = -8*v**3 - 4*v**2 + 16*v - 16. Let h(r) = f*u(r) + 3*x(r). Factor h(j).
4*(j - 1)**2*(j + 3)
Let m be 4/(-5)*(-90)/36. Let z(v) = -v**3 + 4*v**2 - 4*v + 2. Let g be z(m). Solve g - u + u**2 + 0*u**2 - 2 = 0 for u.
0, 1
Let h(f) = 9*f**2 + 16*f - 8. Let g(u) = -66*u**2 - 111*u + 60. Let x(d) = -2*g(d) - 15*h(d). Factor x(q).
-3*q*(q + 6)
Let l(y) be the third derivative of 1/16*y**4 + 5*y + 1/240*y**5 + 0 + 3/8*y**3 - 4*y**2. Factor l(q).
(q + 3)**2/4
Let w = -205 - -207. Factor -5*a**4 - a**2 + 21*a**w + a**4 + 4*a**2 - 20*a**3.
-4*a**2*(a - 1)*(a + 6)
Let z be ((12/10)/(-3))/(0 + 8/(-80)). Let f(s) be the second derivative of 3/8*s**2 + 5/16*s**z - 11/24*s**3 + 0 + 1/60*s**6 - 9/80*s**5 - 8*s. Factor f(b).
(b - 1)**3*(2*b - 3)/4
Suppose 34*v - 185 = 33*v. Let u = 188 - v. Find r such that 0*r + 0*r**2 - 3/4*r**u + 0 = 0.
0
Let y(w) = -14*w**2 - 2*w + 147. Let d(g) = -27*g**2 - 4*g + 284. Let q(j) = -15*d(j) + 29*y(j). Factor q(s).
-(s - 3)*(s + 1)
Let k(v) be the second derivative of -33*v**5/10 + 403*v**4/4 + 283*v**3/2 + 57*v**2 - 9574*v. Let k(d) = 0. What is d?
-1/2, -2/11, 19
Suppose -5056/5 + 4/5*z**3 + 2592/5*z - 348/5*z**2 = 0. What is z?
4, 79
Suppose 21*u + 39 = 24*u. Suppose -u*j + 13637 = -0*j. Factor 5*g**2 + 1049 - j.
5*g**2
Suppose 533 = -366*t + 712 + 381 + 538. Determine x so that 93/2*x**t + 3/2*x**4 + 300 + 243*x**2 + 462*x = 0.
-25, -2
Let l(g) = -2*g**3 + 60*g**2 - 421*g + 675. Let r(a) = 20*a**3 - 540*a**2 + 3772*a - 6076. Let z(i) = 28*l(i) + 3*r(i). Let z(x) = 0. Calculate x.
-21, 2, 4
Let n(h) be the second derivative of 0 - 1/30*h**6 + 5/12*h**4 + 66*h + 1/20*h**5 + 1/2*h**3 + 0*h**2. Factor n(u).
-u*(u - 3)*(u + 1)**2
Let o = -216 - -769. Suppose 3*l = o - 37. Factor -8*k**3 + 136*k - l*k + k**3 + 27*k**3 + 4*k**4 + 12*k**2.
4*k*(k - 1)*(k + 3)**2
Let c(s) be the first derivative of -13*s**6/2 + 147*s**5 - 1251*s**4/4 + 151*s**3 + 51*s**2 + 1927. Let c(a) = 0. What is a?
-2/13, 0, 1, 17
Factor 16/3 + 1/9*p**2 + 50/9*p - 1/9*p**3.
-(p - 8)*(p + 1)*(p + 6)/9
Suppose 5*o + 2068 = s + 3*o, 0 = 4*s - 3*o - 8262. Suppose 2*l = -3*v + 6232, v - l - l - s = 0. Factor -5*f**4 - 10*f**3 + 35*f**2 - 2074 - 20*f + v.
-5*f*(f - 1)**2*(f + 4)
Let u be (-4)/3*1126/(-2815)*(-15)/(-4). Factor -123/4*j - 15/4*j**u - 6.
-3*(j + 8)*(5*j + 1)/4
Let l(h) = -7*h**3 - 94*h**2 + 51*h + 132. Let p(b) = b**3 - 3*b**2 - 3*b - 1. Let k(u) = -l(u) + 3*p(u). Suppose k(r) = 0. Calculate r.
-9, -1, 3/2
Let j = 766357/287385 + 1/95795. Suppose 92/9*w + 80/9*w**2 + j - 16/9*w**3 = 0. What is w?
-1/2, 6
Determine x so that -37*x**2 + 100*x**2 + 65*x**2 + 242*x - 2*x**3 + 112*x**2 = 0.
-1, 0, 121
Suppose 12*y + 21 = -15. Let q(r) = r**3 + 2*r**2. Let s(k) = -6*k**3 - 5*k**2. Let x(g) = y*s(g) - 21*q(g). Factor x(z).
-3*z**2*(z + 9)
Let u(n) = 4*n**2 + 37*n + 46. Let z be u(-8). Factor 54/5*f + 2/5*f**3 - z*f**2 - 26/5.
2*(f - 13)*(f - 1)**2/5
Let l(p) be the first derivative of -3/4*p**2 + 0*p - 1/6*p**3 - 200 + 3/8*p**4 + 1/10*p**5. Factor l(s).
s*(s - 1)*(s + 1)*(s + 3)/2
Suppose -306 = -4*j + 5*h + 56, 3*j - 2*h = 296. What is o in 0 - 68/3*o**4 + 84*o**3 + j*o**2 + 4/3*o**5 + 0*o = 0?
-1, 0, 9
Find d, given that 639*d**3 - 2020*d**3 + 542*d**3 + 644*d**3 + 185*d**2 + 10*d = 0.
-2/39, 0, 1
Factor 74 - 77/3*z + 1/3*z**2.
(z - 74)*(z - 3)/3
Suppose -161*s + 2*f - 14 = -166*s, 5*s - 5*f - 35 = 0. Suppose 2*w = 18 - 2. Determine z, given that w + 5 + 5 - s*z**2 - 2 = 0.
-2, 2
Let t(s) be the third derivative of -s**6/480 + s**5/24 + 23*s**4/96 + s**3/2 + 2466*s**2. Factor t(u).
-(u - 12)*(u + 1)**2/4
Factor -v**5 - 8*v**4 - 58*v**3 - 38*v**2 + 23*v**4 + 203*v + 54*v**2 - 34*v**2 + 147.
-(v - 7)**2*(v - 3)*(v + 1)**2
Suppose 5*d - 9*d = 36. Let f be (d/(-12))/(3/12). Factor -4*t**3 + 4*t**3 + 0*t**3 + t**3 + f*t**2.
t**2*(t + 3)
Suppose 1 = -2*l - 11. Let s be l/(-9) - (-6)/(-27). Factor 4/3*r + 0 - s*r**2.
-4*r*(r - 3)/9
What is y in -144/5 - 13*y**2 + 9/5*y**4 - 216/5*y + 3*y**3 + 1/5*y**5 = 0?
-4, -3, -1, 3
Determine t, given that 0 + 18*t**2 + 8/7*t = 0.
-4/63, 0
Let b = -167 + 196. Factor -1 + 55 - 30*i + 12*i**2 - 7*i**2 - b.
5*(i - 5)*(i - 1)
What is u in 5*u**2 + 495*u + 371 - 265 + 384 = 0?
-98, -1
Let q(m) = 4*m**3 - 18*m**2 + 8*m + 48. Let d be ((-1)/1)/((-1)/5). Let z(g) = -4*g**3 + 19*g**2 - 10*g - 48. Let u(c) = d*q(c) + 6*z(c). Factor u(a).
-4*(a - 4)*(a - 3)*(a + 1)
Let x(z) be the third derivative of 2*z**7/945 - 299*z**6/135 + 5960*z**5/9 + 299*z**4/27 - 178802*z**3/27 + 5*z**2 - 114*z. Solve x(n) = 0.
-1, 1, 299
Solve 4/5*p**4 + 0 + 0*p - 88/5*p**2 - 84/5*p**3 = 0 for p.
-1, 0, 22
Let h(f) be the third derivative of f**8/315 + 2*f**7/35 + 9*f**6/20 - 197*f**5/60 - 83*f**2. Let t(c) be the third derivative of h(c). Factor t(a).
4*(4*a + 9)**2
Let j(t) = -t**3 - 10*t**2 - 24*t + 20. Let g be j(-8). Find v such that 8*v**3 + 4*v - 42 + 28*v**4 - g*v**2 - 84*v + 26 = 0.
-1, -2/7, 2
Let v(p) be the third derivative of -p**8/13440 + p**7/2240 - p**5/240 - 19*p**3/2 + 15*p**2 + 2. Let a(m) be the first derivative of v(m). Solve a(d) = 0.
-1, 0, 2
Let x(r) be the first derivative of 3*r**5/5 - 363*r**4 + 57588*r**3 + 354288*r**2 + 714432*r - 5379. Factor x(j).
3*(j - 244)**2*(j + 2)**2
Let p = 67304/5 + -13460. Let b(x) be the first derivative of -3*x**4 + 8/3*x**3 + 0*x**2 - 12 + p*x**5 + 0*x. Factor b(k).
4*k**2*(k - 2)*(k - 1)
Let h = -274 + 279. Determine b so that -16*b**4 - 44*b**3 + 3*b + 1 + 22*b**2 - 10*b**4 + 3 + 19*b - 8*b**h + 30*b**3 = 0.
-2, -1, -1/4, 1
Let c = -4204/303 - -3253/101. What is n 