**3 + 82*q**2 - 73*q**3 - 19*q**3 + 109*q. Let l(u) = -66*u**3 - 244*u**2 - 328*u - 48. Let g(d) = 16*c(d) + 5*l(d). Factor g(b).
2*(b + 2)**2*(11*b + 2)
Let m(o) = 7*o**2 + 359*o - 2218. Let d(i) = 5*i**2 + 240*i - 1480. Let k(c) = 8*d(c) - 5*m(c). Find a such that k(a) = 0.
-30, 5
Let b(r) be the second derivative of -r**6/6 + 3*r**5 - 85*r**4/12 - 25*r**3 - 3097*r. Determine c so that b(c) = 0.
-1, 0, 3, 10
Let v(d) be the third derivative of d**5/210 + 13*d**4/84 + 2*d**2 + 16. Suppose v(i) = 0. What is i?
-13, 0
Suppose 2084/7*u**2 + 0*u - 2/7*u**3 + 0 = 0. What is u?
0, 1042
Suppose 5*k - 5*p = 100, 2*k - 3*p - 12 - 29 = 0. Find g, given that -25*g**4 - 2*g**5 + g**3 - 18*g + k*g**3 + g**4 - 4*g**2 + 18*g**4 + 10 = 0.
-5, -1, 1
Let g(v) = 15*v**3 - 633*v**2 - 775*v - 132. Let j(c) = -8*c**3 + 315*c**2 + 386*c + 66. Let a(y) = -6*g(y) - 10*j(y). What is r in a(r) = 0?
-1, -1/5, 66
Let c(i) be the second derivative of -i**5/120 + i**4/16 - i**3/6 - 19*i**2/2 + i + 7. Let y(k) be the first derivative of c(k). Solve y(f) = 0.
1, 2
Suppose 0 + 0*f - 1/4*f**5 + 8*f**4 - 245/4*f**3 + 275/2*f**2 = 0. What is f?
0, 5, 22
Let z = 891211/3 - 297070. Factor -6*p + z*p**2 - 40/3.
(p - 20)*(p + 2)/3
Suppose -7*d - 205 = -9*d + 5*a, -3*a + 3 = 0. Let j be 119/d - (5 - 4). Let 2/5*w**3 - j + 2/15*w**2 - 2/5*w = 0. What is w?
-1, -1/3, 1
Suppose 2*o = 16 + 10. Let g(d) = -2*d + 29. Let b be g(o). Suppose -12 + 12*x - 3*x**b - 4*x**2 + 12*x**2 - 5*x**2 = 0. What is x?
-2, 1, 2
Let g(j) = -3724*j + 14903. Let u be g(4). Factor u*i + 23/4*i**2 + 3 + 1/4*i**4 + 2*i**3.
(i + 1)*(i + 2)**2*(i + 3)/4
Suppose -5*q + 84 - 64 = 0. Let m(i) be the third derivative of -9*i**2 + 0*i - 1/12*i**3 + 0 + 1/32*i**q - 1/240*i**5. Find o, given that m(o) = 0.
1, 2
Suppose -6*f + 2*n = -72, -2*f - 5*n = 189 - 111. Factor -3/4*i**4 + 0 - 15/4*i**2 - f*i**3 + 21/2*i.
-3*i*(i - 1)*(i + 2)*(i + 7)/4
Solve -2/3*c**2 + 658/3 - 80/3*c = 0 for c.
-47, 7
Suppose -32 = -5*s + 3*l, 4*l + 7 = -2*s - 1. Determine f, given that 24*f**s + 512*f**2 - 192*f**3 - 10 + 10 - f**5 = 0.
0, 8
Determine j so that 131/3*j**2 + 137/3*j + 2 = 0.
-1, -6/131
Suppose -4*j + 561*b = 565*b - 20, -2*b + 10 = -2*j. Let -8/3 + 2*w**2 - 2/3*w**3 + j*w = 0. What is w?
-1, 2
Solve -24 + 46/3*u**2 + 3*u**3 + 11*u = 0 for u.
-3, 8/9
Factor 0 + 1/2*a**4 - 17/2*a**2 - 7/2*a**3 - 9/2*a.
a*(a - 9)*(a + 1)**2/2
Let t(x) be the first derivative of -x**5/20 + x**4/3 + 11*x**3/6 + 3*x**2 + 75*x + 93. Let p(a) be the first derivative of t(a). Suppose p(s) = 0. What is s?
-1, 6
Let x = 2561 - 2559. Let f(d) be the second derivative of -10*d**x - 20/3*d**3 - 2*d - 25/12*d**4 - 1/4*d**5 + 0. Factor f(c).
-5*(c + 1)*(c + 2)**2
Let f(p) be the first derivative of 295 + 45*p - 15*p**2 + 5/3*p**3. Factor f(k).
5*(k - 3)**2
Let o = -34966/7 + 4996. Solve -8/7 - o*t + 2/7*t**2 = 0.
-1, 4
Let i = 10524256/13 - 809558. Factor 4/13*o**2 + 4/13*o**3 - 2/13*o**4 - 2/13*o**5 - i*o - 2/13.
-2*(o - 1)**2*(o + 1)**3/13
Let l be -2*(24 + -64 + 34). What is d in 36 - l*d**4 + 60*d**2 + 9*d**3 - 183/2*d - 3/2*d**5 = 0?
-8, -3, 1
Let d(z) be the first derivative of 2/3*z**3 - 2 - 14*z**2 - 30*z. Solve d(a) = 0.
-1, 15
Let m(a) = 11*a + 35. Let z be m(-3). Suppose -z*w = 2, 3*h + 5*w = -16 + 20. Factor -13/2*y**h + 3*y**2 - 1/2*y + 6*y**4 - 2*y**5 + 0.
-y*(y - 1)**2*(2*y - 1)**2/2
Let p(c) = -3*c - 9. Let j be -88 + 96 + (1 - 1). Let b(i) = -i**2 + 9*i + 26. Let x be 51/15 + 2/(-5). Let w(o) = j*p(o) + x*b(o). Factor w(u).
-3*(u - 2)*(u + 1)
Let h(y) = -y**2 - 9*y + 129. Let a(g) = -g**2 - 10*g + 122. Let k(f) = 6*a(f) - 4*h(f). Determine r so that k(r) = 0.
-18, 6
Let r(u) be the third derivative of -u**8/2016 - u**7/210 + 13*u**6/240 + 52*u**5/45 + 25*u**4/3 + 32*u**3 + 221*u**2 + 2*u + 6. Solve r(m) = 0 for m.
-4, -3, 8
Let x be (-12)/96 - 50/(-16). Factor 4887*y**2 - 5*y**x + 35*y - 30 - 4887*y**2.
-5*(y - 2)*(y - 1)*(y + 3)
Let m be 867/306 - (-1)/6. Factor 4*n**3 + 12 + 10*n - 6*n**2 + 2*n**2 - 6*n**m.
-2*(n - 2)*(n + 1)*(n + 3)
Let o(k) = 72*k + 5763. Let x be o(-80). Factor 2024/17*y**2 + 960/17*y + 840/17*y**x + 98/17*y**4 + 128/17.
2*(y + 4)**2*(7*y + 2)**2/17
Let p(i) be the first derivative of 3*i**6/14 - 312*i**5/35 + 201*i**4/28 + 34*i**3/7 - 1262. Let p(a) = 0. Calculate a.
-1/3, 0, 1, 34
Let u = 695 - 431. Suppose 4*y**2 + 126*y + 166*y + 15*y - u - 47*y = 0. Calculate y.
-66, 1
Let d = -1279/10 + 1331/10. Find r such that -2/5*r**5 + 4/5*r + 16/5 - d*r**2 + 2*r**4 - 2/5*r**3 = 0.
-1, 1, 2, 4
Suppose 25846*l = 25910*l - 192. Determine x, given that -1/4*x**2 - l*x - 11/4 = 0.
-11, -1
Determine i, given that -13/5*i**4 - 36/5*i**2 + 0 - 16/5*i + 48/5*i**3 = 0.
-4/13, 0, 2
Let p(z) be the second derivative of -3*z**5/20 + 31*z**3/2 - 45*z**2 - 215*z + 1. Factor p(w).
-3*(w - 5)*(w - 1)*(w + 6)
Suppose -119*k + 114*k = 2*d + 85, -4*d - k - 17 = 0. Solve -2*x**3 + 0 + d*x + 1/2*x**4 + 0*x**2 = 0.
0, 4
Let d(b) be the first derivative of -b**5/10 + 3*b**4 - 32*b**3 + 160*b**2 + 185*b + 196. Let f(a) be the first derivative of d(a). Let f(l) = 0. What is l?
4, 10
Let d(w) = -w**2 - 1. Let j be (1 + 0)*(11 - 10). Suppose 9*x = j + 8. Let i(h) = h**2 - 30*h - 39. Let c(r) = x*i(r) - 4*d(r). Let c(u) = 0. What is u?
-1, 7
Let a(q) be the first derivative of -3*q**4/8 - 7*q**3/2 - 6*q**2 + 24*q - 2351. Factor a(s).
-3*(s - 1)*(s + 4)**2/2
Let c(p) be the first derivative of p**6/6 + 63*p**5/5 - 401*p**4/4 + 295*p**3 - 412*p**2 + 276*p - 828. Factor c(h).
(h - 2)**2*(h - 1)**2*(h + 69)
Let y(k) be the first derivative of -4*k**3/15 + 212*k**2/5 - 1632*k/5 + 2374. Factor y(p).
-4*(p - 102)*(p - 4)/5
Suppose z = -5*q + 20 + 4, 2 = q. Suppose -8 = -2*a, 0*l = -l - 3*a + z. What is r in 6*r**3 + 0*r**2 - 5*r**l + 2*r**4 + 5*r**2 + 2*r + 6*r**2 = 0?
-1, 0
Let g(w) = 2*w**2 - 590*w + 1752. Let x be g(3). Factor 1/2*o**2 + 0 - 1/2*o**3 - 1/8*o**4 + 1/8*o**5 + x*o.
o**2*(o - 2)*(o - 1)*(o + 2)/8
Suppose 3*a - 4*r = 64, 4*a + 14*r - 9*r - 44 = 0. Suppose 84 = 20*y - a. Factor 2/3*f**4 - 1/3*f**3 + 0 + 1/3*f**y + 0*f - 2/3*f**2.
f**2*(f - 1)*(f + 1)*(f + 2)/3
Determine p, given that 4*p**2 + 3*p**2 - 53*p - 648*p - 4*p**2 - 625*p = 0.
0, 442
Suppose -v = -2*s + 62 - 14, v + 72 = 3*s. Factor 2*p**5 + 183*p - s*p**4 - 183*p - 26*p**3.
2*p**3*(p - 13)*(p + 1)
Let m(b) be the third derivative of -b**6/120 + b**5/20 + b**3/3 + 32*b**2. Let d be m(3). Factor 22*p**2 + p**4 - 5*p**2 - 20*p**2 - d*p.
p*(p - 2)*(p + 1)**2
Let a be 21/(-7) + 0*(0 - -1). Let y(t) = -3*t**2 - 4*t - 6 + 2*t**2 - 2*t**2 + 2*t**2. Let u(s) = s. Let k(g) = a*u(g) + y(g). Factor k(h).
-(h + 1)*(h + 6)
Let l(x) be the second derivative of -x**5/50 + 13*x**4/10 - 74*x**3/15 - x + 225. Factor l(j).
-2*j*(j - 37)*(j - 2)/5
Let 0 - 103785/2*j**2 - 3/2*j**4 - 1113/2*j**3 - 102675/2*j = 0. Calculate j.
-185, -1, 0
Let w(d) be the second derivative of 2*d**7/21 - 8*d**6/15 - 26*d**5/5 + 20*d**4 + 150*d**3 + 37*d + 1. Factor w(k).
4*k*(k - 5)**2*(k + 3)**2
Factor -18609*x**2 + 0*x**3 - 4*x**3 + 18729*x**2 + 396*x.
-4*x*(x - 33)*(x + 3)
Suppose 166 - 122 = 11*b. Let m(g) be the third derivative of g**2 - 1/36*g**b + 0*g + 1/180*g**6 + 1/90*g**5 + 0*g**3 + 0 - 1/315*g**7. Factor m(c).
-2*c*(c - 1)**2*(c + 1)/3
Factor 354/7*p**2 + 330 + 2661/7*p + 3/7*p**3.
3*(p + 1)*(p + 7)*(p + 110)/7
Let g(o) be the second derivative of o**7/252 + o**6/15 + 11*o**5/60 - 2*o**4/3 - 23*o**3/36 + 3*o**2 + 591*o. Solve g(q) = 0.
-9, -4, -1, 1
Let v be ((-266)/42 + 7)*4/3. Let i(a) be the first derivative of 4/27*a**3 + 30 - 2/3*a**2 + v*a. Solve i(r) = 0.
1, 2
Let r(h) be the second derivative of -9/10*h**5 - 1/42*h**7 + 0*h**2 - 4/15*h**6 + 0 - 5/6*h**3 - h - 4/3*h**4. Factor r(t).
-t*(t + 1)**3*(t + 5)
Suppose -3*c = 4*q - 69, -4*c - 32 = 8*q - 132. Factor -16*p - 152/9 + 2/9*p**q - 10/3*p**2.
2*(p - 19)*(p + 2)**2/9
Let g(z) be the third derivative of -11/3*z**3 - 1/15*z**5 + 0 + 0*z + 26*z**2 - 1/90*z**6 - 1/6*z**4. Let m(p) be the first derivative of g(p). Factor m(c).
-4*(c + 1)**2
Let b(i) be the second derivative of -i**4/20 - 7*i**3/10 - 3*i**2 - 959*i. Factor b(y).
-3*(y + 2)*(y + 5)/5
Factor -192/7 - 3/7*g**3 - 15*g**2 - 42*g.
-3*(g + 1)*(g + 2)*(g + 32)/7
Let w = -153 + 168. Factor -w*g**2 - 36 -