*2 + 2 - 6*d**i + 0*d**3. What is r in x(r) = 0?
0, 2/5
Let v(g) be the third derivative of g**8/336 + 2*g**7/105 - 19*g**6/120 - 11*g**5/30 + 9*g**4/2 - 12*g**3 + g**2 + 107. Solve v(r) = 0 for r.
-6, -3, 1, 2
Let 96 + 29*k**2 - 2904*k**4 + 33*k**3 + 2901*k**4 - 101*k**2 - 12*k = 0. What is k?
-1, 2, 8
Let s(o) be the second derivative of -3*o**5/100 - 3*o**4/10 - 6*o**3/5 - 12*o**2/5 - 80*o + 1. Factor s(w).
-3*(w + 2)**3/5
Let v(i) be the first derivative of i**5/30 + 7*i**4/12 + 5*i**3/2 + 13*i**2/3 + 10*i/3 + 55. Factor v(g).
(g + 1)**2*(g + 2)*(g + 10)/6
Let l(v) be the third derivative of -1/2*v**3 - 1/20*v**5 + 1/4*v**4 + 0*v + 22*v**2 + 0. Factor l(b).
-3*(b - 1)**2
Factor -99/5*p - 20 + 1/5*p**2.
(p - 100)*(p + 1)/5
Suppose 0 = 15*r + 41 - 401. Suppose -r*b = 8*b - 128. Factor 25/2*y**3 + b*y**4 + 4 + 14*y + 1/2*y**5 + 19*y**2.
(y + 1)**2*(y + 2)**3/2
Suppose 5*i + 2*i = 14. Factor 10*r**i + 9*r**2 - 17*r**2.
2*r**2
Factor -11 - 23 + 66 - 22 + 2*o**2 - 12*o.
2*(o - 5)*(o - 1)
Let h be (-13 - 20/(-30)) + 14. Determine q, given that 0 + h*q**2 + 0*q = 0.
0
Let x(q) be the second derivative of -1/10*q**6 - 36*q + 0*q**2 - 4/3*q**3 + 0 + 17/9*q**4 - 7/10*q**5. Factor x(i).
-i*(i + 6)*(3*i - 2)**2/3
Let h(f) be the second derivative of 0*f**2 - 1/6*f**5 - 44*f + 5/36*f**4 + 0 - 1/18*f**6 + 5/9*f**3. What is i in h(i) = 0?
-2, -1, 0, 1
Find r such that 76/7*r + 1/7*r**2 - 11 = 0.
-77, 1
Let d(i) be the first derivative of 24 + 1/4*i**4 + 1/3*i**3 - i - 1/2*i**2. Let d(k) = 0. What is k?
-1, 1
Let f(h) = 12. Let z(c) = c - 25. Let d(j) = 5*f(j) + 3*z(j). Let u be d(6). Find w, given that 2*w**2 + w**u + 3*w**2 - 3*w**4 - w - 2 + 0*w**4 = 0.
-1, -2/3, 1
Suppose 5*q + 43 - 13 = 0. Let w(p) = 16*p**2 - 16*p - 41. Let v(r) = 3*r**2 - 3*r - 8. Let c(x) = q*w(x) + 33*v(x). Suppose c(m) = 0. What is m?
-2, 3
Let s(z) be the first derivative of z**3/3 + 5*z**2/2 - 36*z - 185. Factor s(p).
(p - 4)*(p + 9)
Let q(c) be the second derivative of -c**7/14 - 2*c**6/5 - 3*c**5/20 + 7*c**4/2 + 10*c**3 + 12*c**2 - 7*c + 15. What is p in q(p) = 0?
-2, -1, 2
Suppose 4*l = 2*l + 8. Suppose 0 = 4*y - l*y - 8*y. Suppose z**3 + 1/3*z**5 + 0*z + y - z**4 - 1/3*z**2 = 0. What is z?
0, 1
Let y be (78/(-117))/(1/(-2)). Let k = 8/23 + -26/207. Factor 2/9*v**5 + 8/9*v**4 + 8/9*v**2 + k*v + 0 + y*v**3.
2*v*(v + 1)**4/9
Let q(a) be the first derivative of 27/4*a - 6 + 27/8*a**2 + 3/4*a**3 + 1/16*a**4. Find d such that q(d) = 0.
-3
Solve l**3 + 46*l + 2*l**2 - 74*l + 28*l = 0.
-2, 0
Factor -2*h + 6*h**2 - 7*h - 3*h**2 + 6.
3*(h - 2)*(h - 1)
Let -20*t**3 + 4/3*t**5 + 16/3*t**4 - 24*t**2 + 0 + 0*t = 0. Calculate t.
-6, -1, 0, 3
Let c(l) be the third derivative of -l**10/378000 + l**8/50400 - l**5/60 + 3*l**2. Let u(v) be the third derivative of c(v). Factor u(j).
-2*j**2*(j - 1)*(j + 1)/5
Let l(v) be the third derivative of v**7/140 - 9*v**6/40 + 61*v**5/40 + 45*v**4/4 + 25*v**3 + 88*v**2. Suppose l(f) = 0. Calculate f.
-1, 10
Let w be (-5)/2*36/(-30). Let q(p) = -w - p**3 - 2*p - 2*p**2 + p + p**2 + 4. Let l(v) = -5*v**3 - 9*v**2 - 7*v + 9. Let o(n) = -l(n) + 6*q(n). Factor o(x).
-(x - 3)*(x - 1)*(x + 1)
Let s = 17 - 16. Determine r so that 7 + 45*r**2 + s + 405*r**2 - 120*r = 0.
2/15
Let d(l) be the third derivative of -l**5/72 + 25*l**4/48 - 5*l**3 + 17*l**2 + l. Factor d(b).
-5*(b - 12)*(b - 3)/6
Let w be (6/49)/(9 + (-1992)/224). Factor 0*y - 4/7*y**3 - 10/7*y**4 - 3/7*y**5 + 0 + w*y**2.
-y**2*(y + 2)**2*(3*y - 2)/7
Let d(f) be the first derivative of 2*f**3/33 + 13*f**2/11 + 317. Determine p so that d(p) = 0.
-13, 0
Factor -2*i**3 - 2*i**5 - 22*i**2 + 22*i + 2*i - i**3 + 6*i**4 + 10 - 18 + 5*i**3.
-2*(i - 2)*(i - 1)**3*(i + 2)
Let z = 43842 + -217929/5. Let g = -253 + z. Let -12/5 - g*t - 4/5*t**2 = 0. Calculate t.
-3, -1
Let v(w) = -11*w**3 - 2*w**2 + 11*w - 2. Let r be 3 - -1*(-3 + -3). Let p(z) = 10*z**3 + z**2 - 10*z + 2. Let o(t) = r*v(t) - 4*p(t). What is g in o(g) = 0?
-1, 2/7, 1
Let h(y) be the first derivative of -62*y**3/3 - 249*y**2/4 - y + 678. Determine j so that h(j) = 0.
-2, -1/124
Suppose 3*z + 5*g = 277 + 325, -1 = -g. Let y = z - 787/4. Factor 0 - 1/4*w**3 + 3/2*w**2 - y*w.
-w*(w - 3)**2/4
Let b(r) = 3*r. Let s(k) = k**2 - k. Let j = -7 - -16. Suppose 0 = 3*w - 2*w - 2*d + 1, -2*w - 3*d = j. Let i(l) = w*s(l) - b(l). Factor i(z).
-3*z**2
Let i(d) = 135*d**3 - 1190*d**2 + 2835*d - 2375. Let z(o) = 5*o**3 - 44*o**2 + 105*o - 88. Let q(r) = -2*i(r) + 55*z(r). Factor q(a).
5*(a - 3)**2*(a - 2)
Find w, given that -7*w**4 - 67*w + 54*w - 52*w**2 + 37*w + 2*w**5 - 58*w**3 + w**5 = 0.
-2, 0, 1/3, 6
Suppose 3/7*u**4 - 18/7*u - 3*u**2 + 0*u**3 + 0 = 0. Calculate u.
-2, -1, 0, 3
Suppose -17*w - 23 + 108 = 0. Let m(v) be the second derivative of 1/12*v**4 + 1/18*v**3 + w*v + 0*v**2 + 1/20*v**5 + 0 + 1/90*v**6. Factor m(d).
d*(d + 1)**3/3
Suppose -r = -0*r + 5, 0 = 4*c + r - 147. Factor -38 - 17*s**2 - 4*s**5 - 16*s**4 - 24*s**3 - 4*s + c + s**2.
-4*s*(s + 1)**4
Let a(w) be the second derivative of -1/30*w**5 + 0*w**2 - 1/18*w**4 - 9*w + 0 + 2/9*w**3. What is d in a(d) = 0?
-2, 0, 1
Let a(k) be the third derivative of 0 + 1/12*k**3 + 1/120*k**6 + 7*k**2 - 1/140*k**7 - 1/16*k**4 + 1/60*k**5 + 0*k + 1/672*k**8. Factor a(o).
(o - 1)**4*(o + 1)/2
Factor 1/2*n**4 - 1/6*n**5 - 5/6 + 5/3*n**3 - 3/2*n + 1/3*n**2.
-(n - 5)*(n - 1)*(n + 1)**3/6
Let l = 355 + -348. Let b(i) be the third derivative of 1/180*i**6 + 0 + 5*i**2 + 2/315*i**l + 0*i**4 + 0*i**3 + 0*i + 0*i**5 + 1/504*i**8. Factor b(t).
2*t**3*(t + 1)**2/3
Let d = -394/25 + 16. Let j(i) be the third derivative of -d*i**5 + 0*i - 1/30*i**3 + 0 + 6*i**2 - 7/60*i**4 - 4/15*i**6 - 64/525*i**7. Let j(z) = 0. What is z?
-1/2, -1/4
Let y(q) = -4*q**4 - 2*q**3 - 20*q**2 + 8*q + 6. Let a(r) = -3*r**4 - 2*r**3 - 19*r**2 + 7*r + 7. Let s(o) = -6*a(o) + 5*y(o). Let s(x) = 0. What is x?
-2, -1, 1, 3
Let s(l) be the third derivative of -l**6/120 - l**5/60 + l**4/12 + l**3/3 - 8*l**2. Let r be s(0). Factor 0*p**3 - 2*p**3 + 5*p**3 + 3*p**r.
3*p**2*(p + 1)
Solve 40*v**4 + 363*v**3 - 443*v**3 + 342*v**3 + 2*v**5 + 0*v**5 + 384*v + 608*v**2 = 0 for v.
-8, -3, -1, 0
Let n(a) = -4*a**2 + a. Let i be n(2). Let p = i - -19. Suppose 2*c**5 - 2*c**p - c**5 = 0. What is c?
0
Let a(j) = -11*j + 2. Let r be a(-2). Suppose r = 4*d + 2*d. Suppose 34*w**3 - 3*w**5 - 48*w**d - 8*w**2 + 23*w**5 + 7*w**3 - 5*w**3 = 0. Calculate w.
0, 2/5, 1
Let r be (-10)/85 + (-2)/(-17). Let z(p) be the third derivative of r - p**2 + 0*p**3 + 0*p - 1/24*p**4 + 1/120*p**5. Let z(g) = 0. What is g?
0, 2
Let r(l) be the first derivative of -l**3/15 - l**2 + 24*l/5 + 240. Let r(a) = 0. What is a?
-12, 2
Let b = 18 + -15. Suppose 0*v + v = -2*w + 171, 15 = 5*v. Determine f so that -f**b - 2*f**3 + 81*f**2 - w*f**2 + f + 5*f = 0.
-2, 0, 1
Factor -4/5*v + 0 - 3/5*v**3 + 8/5*v**2 + 1/5*v**5 - 2/5*v**4.
v*(v - 2)*(v - 1)**2*(v + 2)/5
Let c(j) be the second derivative of j**8/10920 - j**7/5460 - j**6/1170 + 11*j**3/3 - 14*j. Let l(f) be the second derivative of c(f). Factor l(z).
2*z**2*(z - 2)*(z + 1)/13
Let w be 120/(-80)*4/(-3). Let p(o) be the first derivative of -1 - w*o**2 + 0*o - 2/3*o**3 + 1/2*o**4. Factor p(v).
2*v*(v - 2)*(v + 1)
Suppose -4*s + s = s. Let k**2 + 5*k + s*k - 4 - 2 = 0. Calculate k.
-6, 1
Let s(u) = -u**5 + 2*u**4 + u**2 - u + 1. Let h(z) = -3*z**5 + 19*z**4 - 75*z**3 + 147*z**2 - 122*z + 38. Let o(g) = h(g) - 2*s(g). Find c, given that o(c) = 0.
1, 6
Let t be -1 - -1*(4 - -889). Let 2*o**2 + t*o - 892*o + 2*o**3 = 0. What is o?
-1, 0
Determine r so that -10/7*r - 1/7*r**2 - 9/7 = 0.
-9, -1
Let d(g) be the first derivative of 0*g**2 + 2/5*g**5 - 1 - 2/9*g**3 - 1/3*g**4 + 0*g. Suppose d(v) = 0. Calculate v.
-1/3, 0, 1
Let j(i) be the second derivative of 10*i + 0*i**5 + 1/168*i**7 + 0*i**2 + 0 - 1/60*i**6 - 1/24*i**3 + 1/24*i**4. Solve j(h) = 0.
-1, 0, 1
Factor 148 + 217*q - 65*q + 50*q**2 - 46*q**2.
4*(q + 1)*(q + 37)
Let h(x) be the third derivative of 1/12*x**5 - 5/6*x**3 + 0*x + 0 + 0*x**4 + 32*x**2. Determine g so that h(g) = 0.
-1, 1
Let n(k) = 4*k - 18. Let o be n(3). Let j(t) = t - 1. Let z(p) = 2*p**2 + 5*p + 9. Let c(u) = o*j(u) - 2*z(u). Factor c(v).
-4*(v + 1)*(v + 3)
Suppose -50*g - 8 = -54*g. Find n such that 6 + 3*n**3 - 6*n**2 - 