**2.
(r - 3)*(r + 1)/6
Let q = 0 - -2/5. Let k be (3/(-5))/((25/20)/(15/(-18))). Suppose k*u**2 + 2/5*u**3 - q*u - 2/5 = 0. What is u?
-1, 1
Let g(s) = -5*s**2 + 326*s - 22797. Let d(l) = -4*l**2 + 320*l - 22798. Let c(h) = 4*d(h) - 3*g(h). Factor c(m).
-(m - 151)**2
Factor -33*v**3 + 108 - 207*v + 129*v**2 + 14*v**4 + 3*v**4 - 14*v**4.
3*(v - 4)*(v - 3)**2*(v - 1)
Let p(t) be the first derivative of 0*t - 7 - 10/33*t**3 + 2/11*t**2 - 2/55*t**5 + 2/11*t**4. Suppose p(c) = 0. Calculate c.
0, 1, 2
Let n = 102 + -66. Find t such that n - 30*t + 4*t**2 - 42*t + 32*t = 0.
1, 9
Let d(z) be the third derivative of -5/9*z**4 + 1/4*z**6 + 0*z - 8/9*z**3 - 22*z**2 + 0 + 1/9*z**5 - 3/56*z**8 + 0*z**7. Suppose d(w) = 0. What is w?
-2/3, 1
Let u(t) = -8*t**3 - 70*t**2 + 280*t - 291. Let q(z) = -70*z**3 - 628*z**2 + 2520*z - 2618. Let p(w) = -6*q(w) + 52*u(w). Factor p(g).
4*(g - 2)**2*(g + 36)
Let u(v) = -v**3 + 16*v**2 - 17*v + 32. Let w be u(15). Suppose w*b**2 + 7*b - 2 - 8*b + 5*b**3 - b - 3*b**3 = 0. What is b?
-1, 1
Let y = 1004/8169 + -3/778. Let b(i) be the second derivative of 0 + i**5 - 2/3*i**6 + 4*i + y*i**7 + 0*i**3 + 0*i**2 + 0*i**4. Suppose b(k) = 0. What is k?
0, 2
Let 2/19*a**2 + 10/19 - 12/19*a = 0. Calculate a.
1, 5
Let a = 25 - -6. Solve -63*s**5 - 23*s**3 - 6*s - 38*s**4 + 72*s**5 - 13*s**4 + a*s**2 = 0.
-1, 0, 1/3, 6
Let q = 2021 - 2019. Find j such that -4/3*j**4 - 4/3*j**3 + 0*j + 4/3*j**q + 0 + 4/3*j**5 = 0.
-1, 0, 1
Let n(h) be the second derivative of -3*h**5/20 - 54*h**4 - 11877*h**3/2 - 34347*h**2 + h + 265. Suppose n(j) = 0. Calculate j.
-107, -2
Suppose -r - 9 = -2*t, -2*r + 2*t - 4 = 4. Let m be 20/(-15)*(r - 0) - -2. Factor 0*p**2 - m*p**3 + 0 + 2/3*p.
-2*p*(p - 1)*(p + 1)/3
Let o(f) = 2*f**2 + 9*f + 14. Let r be o(-4). Suppose 30 - 5*v**5 - 22*v - 17*v - 9*v + 20*v**2 - r*v**4 + 30*v**3 - 17*v = 0. Calculate v.
-3, -2, 1
Let m(q) be the first derivative of q**4/7 - 4*q**3/3 + 12*q**2/7 - 180. Find x, given that m(x) = 0.
0, 1, 6
Let t(f) be the second derivative of -40*f + f**4 + 10*f**2 + 0 + 1/5*f**5 - 6*f**3. Solve t(v) = 0 for v.
-5, 1
Let 0 - 1/2*a**4 + 0*a - a**3 + 3/2*a**2 = 0. What is a?
-3, 0, 1
Let y(g) = -g - 1. Let x be y(-4). Let j = 2 + x. Factor -z**3 + 3*z**2 - j*z**3 + z**2.
-2*z**2*(3*z - 2)
Let c(u) be the first derivative of -4*u - 7/6*u**3 + 9/2*u**2 - 3/8*u**4 + 49. Factor c(q).
-(q - 1)*(q + 4)*(3*q - 2)/2
Factor 0*s**3 + 2/7*s**5 + 0*s - 6/7*s**4 + 0 + 8/7*s**2.
2*s**2*(s - 2)**2*(s + 1)/7
Let j be (2/4)/(30*(-1 + 7)). Let b(m) be the third derivative of 1/180*m**5 + 6*m**2 + 0 + 0*m**3 - 1/36*m**4 + j*m**6 + 0*m. What is d in b(d) = 0?
-2, 0, 1
Solve -14*z + 2245*z**2 - 2249*z**2 + 120*z - 52 = 0 for z.
1/2, 26
Suppose -4*r - 4*l = 4, -2*r - 5*l - 11 + 0 = 0. Factor 3*h**2 + r*h**2 + 5*h - 5*h**2 - 5*h**3.
-5*h*(h - 1)*(h + 1)
Let t(p) be the third derivative of -1/150*p**5 - 1/15*p**3 + 0*p + 0 - 1/30*p**4 + 3*p**2. Factor t(w).
-2*(w + 1)**2/5
Let g(i) be the second derivative of 0 - 6*i**2 - 1/3*i**4 - 8/3*i**3 + i. Factor g(p).
-4*(p + 1)*(p + 3)
Let k(b) = 4*b**2 + b - 2. Let w be k(1). Factor -y**4 + 2*y**5 + 5*y**4 - 16*y + 4*y**4 + 2*y**5 - 32*y**2 - 12*y**w.
4*y*(y - 2)*(y + 1)**2*(y + 2)
Let d(g) be the first derivative of -g**5/40 - g**4/48 + g**3/12 + g**2/8 - 6*g - 15. Let p(a) be the first derivative of d(a). What is j in p(j) = 0?
-1, -1/2, 1
Let y(w) be the first derivative of w**4/10 + 13*w**3/15 + 5*w**2/2 + 14*w/5 - 246. Let y(r) = 0. Calculate r.
-7/2, -2, -1
Suppose -y + 7 + 11 = 0. Let w be (2 - (-12)/(-8))*y. Find p, given that -9*p - 2*p**3 + p**4 + w*p = 0.
0, 2
Let w(v) be the first derivative of -v**6/57 - 32*v**5/95 - 50*v**4/19 - 32*v**3/3 - 448*v**2/19 - 512*v/19 - 193. Determine r, given that w(r) = 0.
-4, -2
Let z(o) be the first derivative of -o**6/3 + 2*o**5/5 + o**4 - 4*o**3/3 - o**2 + 2*o - 97. Factor z(q).
-2*(q - 1)**3*(q + 1)**2
Let y(b) be the first derivative of 3*b**8/280 + 2*b**7/175 - b**6/15 + 4*b**5/75 + 7*b**2/2 - 30. Let l(z) be the second derivative of y(z). Solve l(i) = 0.
-2, 0, 2/3
Let -39*j + 231/4*j**3 + 147/4*j**4 - 6 - 99/2*j**2 = 0. What is j?
-2, -2/7, 1
Factor 17*c**3 + 45 + 776*c - 115*c**3 + 1316*c**2 - 31 + 98.
-2*(c - 14)*(7*c + 2)**2
Suppose 0 = -5*t - 4*v + 60, -t + v + 11 = t. Find m, given that 55 - 40 + 5*m**4 + t*m - 10*m**3 + 2*m - 20*m**2 = 0.
-1, 1, 3
Let y(i) = 2*i**3 + i**2 - 1. Let s be y(1). Suppose 22*d**3 + 13*d**3 - 7*d**4 - 13*d**4 + 4*d**s + 6*d**2 = 0. What is d?
-1/4, 0, 2
Let x(k) be the second derivative of k**5/130 + 22*k**4/13 + 1936*k**3/13 + 85184*k**2/13 + 2*k + 7. Factor x(l).
2*(l + 44)**3/13
Let l(k) = -10*k**3 - 10*k**2 + 10. Suppose -10 - 2 = 2*f. Let d(v) = -11*v**3 - 11*v**2 - v + 11. Let r(j) = f*l(j) + 5*d(j). Factor r(z).
5*(z - 1)*(z + 1)**2
Solve 2/3*c**2 + 6272/3 + 224/3*c = 0.
-56
Let k(j) be the third derivative of -j**7/7560 - j**6/1080 - j**5/360 - j**4/12 + 19*j**2. Let u(n) be the second derivative of k(n). Factor u(c).
-(c + 1)**2/3
Let y = -97 + 101. Solve 13 + 3*i**y + 14 - 3*i**3 - 3 + 12*i - 18*i**2 = 0.
-2, -1, 2
Let w = 135/977 - -13877/12701. Let h = 24350/39611 + 2/3047. Factor -10/13*r**4 + 0*r - h*r**2 - w*r**3 + 0 - 2/13*r**5.
-2*r**2*(r + 1)*(r + 2)**2/13
Let o(q) be the third derivative of -5*q**8/112 - 71*q**7/210 - 121*q**6/120 - 31*q**5/20 - 4*q**4/3 - 2*q**3/3 + 84*q**2. Determine d so that o(d) = 0.
-2, -1, -2/5, -1/3
Suppose -392*l**2 - 476*l**2 - 724*l + 183*l**2 - 31*l**2 - 1 - 7 = 0. What is l?
-1, -2/179
Let -1/7*z**2 - 66/7*z - 1089/7 = 0. What is z?
-33
Suppose -1/6*u**4 - 2963/3*u**2 - 26*u**3 - 6241/6 + 2054*u = 0. Calculate u.
-79, 1
Let z(r) = -2*r**3 + 119*r**2 - 1582*r. Let x(o) = 2*o**3 - 118*o**2 + 1580*o. Let g(i) = 7*x(i) + 6*z(i). Determine m so that g(m) = 0.
0, 28
Suppose -160/9*g**3 - 188/9*g**2 - 2 - 32/3*g - 50/9*g**4 = 0. What is g?
-1, -3/5
Suppose l + 2*l - 12 = 0. Let k = -1 - -3. Find j, given that -2*j**k + 6*j**4 + 0*j**4 + 1 - 5*j**l = 0.
-1, 1
Let k be (-3 - 4 - -9)*2/60. Let a(y) be the third derivative of 0 + 0*y - 1/3*y**5 - 1/6*y**4 - k*y**6 + 4/3*y**3 - 7*y**2. Factor a(s).
-4*(s + 1)*(s + 2)*(2*s - 1)
Let u(s) = 22*s**3 + 67*s**2 - 205*s - 34. Let o(z) = -198*z**3 - 604*z**2 + 1846*z + 308. Let g(m) = 6*o(m) + 52*u(m). What is t in g(t) = 0?
-5, -2/11, 2
Let d(r) be the second derivative of -1/12*r**4 + 0*r**3 + 22*r + 0 + 2*r**2. Factor d(q).
-(q - 2)*(q + 2)
Let i(u) be the second derivative of 18*u + 0*u**3 - 5/18*u**4 - 5/126*u**7 + 0*u**2 + 0 + 1/12*u**5 + 1/9*u**6. Determine f so that i(f) = 0.
-1, 0, 1, 2
Let m = -196795/9 + 21867. Let -2/9*w**2 - 2/9*w**3 + 8/9*w + m = 0. Calculate w.
-2, -1, 2
Let f(g) be the second derivative of 3*g**5/4 + 29*g**4/4 + 39*g**3/2 - 27*g**2/2 + 111*g. Find c, given that f(c) = 0.
-3, 1/5
Let o(y) be the first derivative of 4*y**5/35 - 4*y**4/7 - 20*y**3/21 - 452. Factor o(v).
4*v**2*(v - 5)*(v + 1)/7
Suppose -6*k = -20*k. Let f(w) be the first derivative of -2/35*w**5 + k*w**2 + 0*w + 3 - 2/7*w**4 - 8/21*w**3. Suppose f(b) = 0. Calculate b.
-2, 0
Let k(s) be the third derivative of 0 - 2*s**3 + 2/15*s**5 - 23/12*s**4 + 0*s - 42*s**2. Solve k(b) = 0 for b.
-1/4, 6
Let q(m) be the third derivative of m**8/3360 - m**7/560 - 5*m**3/3 + 53*m**2. Let n(a) be the first derivative of q(a). Factor n(v).
v**3*(v - 3)/2
Let u(k) = -4*k**2 - 16*k - 1. Let z be u(-4). Let s be z*(-5)/30*3. Solve -1/4*i - 1/4*i**3 - s*i**2 + 0 = 0.
-1, 0
Let n be (-256)/1536 + 26/48. Factor 6*q - 3/2*q**3 + 0*q**2 - 6 + n*q**4.
3*(q - 2)**3*(q + 2)/8
Let 1/3*g**4 + 5*g**2 - 4/3*g - 20/3 + 8/3*g**3 = 0. Calculate g.
-5, -2, 1
Let s = 495 - 495. Let z(d) be the second derivative of -1/30*d**4 - d - 2/15*d**3 + s + 0*d**2. Let z(o) = 0. Calculate o.
-2, 0
Suppose 5*s = s - 3*n + 24, 3*n - 12 = 0. Suppose 2*f = s*f - 13. Factor -6*j**2 - 3*j**2 + 2 + j + 2*j - 2*j - f*j**3 - 5*j**4.
-(j + 1)**3*(5*j - 2)
Let w = 23 + -15. Factor 2 + 2 + 11*b**2 - 23*b**2 + w*b.
-4*(b - 1)*(3*b + 1)
Let l(p) = 2*p**3 + 35*p**2 - 20*p - 33. Let w be l(-18). Let r(s) be the first derivative of 0*s - 1/20*s**4 + 0*s**2 + 2/15*s**w - 2. Factor r(v).
-v**2*(v - 2)/5
Let z(o) be the third derivative of -o**6/60 + 51*o**5/10 - 2601*o**4/4 + 44217*o*