+ 1/27*b**3 + 0. Factor u(q).
2*q*(q + 1)**2/9
Let k(u) be the second derivative of -u**4/6 - 36*u**3 - 2916*u**2 - 57*u. Let k(o) = 0. What is o?
-54
Let f(o) = -4*o + 42. Let a be f(9). Let y = -11 + 21. Factor -5*l + y*l**3 - 4*l**3 + 3*l**2 - 10*l + a.
3*(l - 1)*(l + 2)*(2*l - 1)
Let a be (-1 - (0 - 2))*(-67)/2. Let u = -33 - a. Factor 0 + u*x**3 + 2*x - 2*x**2.
x*(x - 2)**2/2
Determine z, given that -1456/3*z**3 - 2/3*z**5 + 106/3*z**4 + 1352/3*z**2 + 0 + 0*z = 0.
0, 1, 26
Let p(i) be the first derivative of -4*i**3/3 + i**2/2 + 5*i - 3. Let o(u) = -4*u**2 + 4. Let a(t) = 3*o(t) - 4*p(t). Find j such that a(j) = 0.
-1, 2
Factor 12*i - 49*i**2 + 21*i - i**4 - 14*i**3 - 33*i.
-i**2*(i + 7)**2
Let v(k) = -k**5 + k**4 + k**3 + k**2 - k + 1. Let l(r) = -4*r**5 - 8*r**4 + 26*r**3 + 10*r**2 - 28*r + 16. Let j(o) = l(o) - 6*v(o). Factor j(b).
2*(b - 5)*(b - 1)**3*(b + 1)
Let d(u) = 5*u**2 - 226*u + 208. Let x(h) = -2*h**2 + 112*h - 104. Let v(s) = 6*d(s) + 13*x(s). Solve v(o) = 0 for o.
-26, 1
Suppose 612*b + 18 = 618*b. Let c(z) be the third derivative of -10*z**2 + 1/15*z**5 - 2/3*z**b + 0*z - 1/6*z**4 + 1/30*z**6 + 0. Factor c(o).
4*(o - 1)*(o + 1)**2
Let a(t) be the second derivative of 0*t**4 + 0*t**2 + 2/75*t**6 + 0*t**3 + 20*t + 0 + 1/25*t**5. Factor a(j).
4*j**3*(j + 1)/5
Suppose 7*n + 42 = 2*z + 78, 5*n - 21 = 3*z. Solve 0 + 1/11*t**z - 1/11*t**2 + 0*t = 0 for t.
0, 1
Solve -4*p**2 + 12*p**2 - 31*p**3 - 29*p**3 + 3*p - 11*p + 58*p**3 = 0 for p.
0, 2
Suppose 13/7*p - 36/7 - 1/7*p**2 = 0. Calculate p.
4, 9
Suppose 3*c - 3*v - 5 = 4, 0 = -5*c + 4*v + 14. Let k(g) be the second derivative of 3/20*g**5 + 0*g**c - 10*g + 0 + 0*g**4 - 1/2*g**3. Factor k(n).
3*n*(n - 1)*(n + 1)
Factor -11/3*z**2 - 10/3*z - 1/3*z**3 + 0.
-z*(z + 1)*(z + 10)/3
Let w(l) = -l**2 - l. Let n(a) = -3*a**2 + 6*a + 5. Let s(z) = n(z) - 4*w(z). Let d(k) = 15*k**2 + 140*k + 70. Let t(b) = 4*d(b) - 55*s(b). Factor t(v).
5*(v + 1)**2
Let i(g) = 2*g**5 - g**4 + g**2 - g. Let h(v) = 21*v**5 + 78*v**4 + 864*v**3 + 2697*v**2 - 6153*v - 36864. Let d(x) = -h(x) + 9*i(x). What is w in d(w) = 0?
-8, 3
Suppose -14*u - 6*u = -0*u. Let n(x) be the first derivative of 1/6*x**2 - 1/12*x**4 + u*x + 1/9*x**3 - 5 - 1/15*x**5. Let n(d) = 0. Calculate d.
-1, 0, 1
Let f(v) be the third derivative of -v**5/60 + 5*v**4/12 - 25*v**3/6 - 4*v**2. Let f(o) = 0. Calculate o.
5
Let h(w) be the second derivative of -w**7/189 - 2*w**6/135 + 2*w**5/45 + 4*w**4/27 - w + 66. Find m, given that h(m) = 0.
-2, 0, 2
Suppose -2*m + 1 = -g, 5*m - g + 1 = 2. Let k = 3518/4385 - 2/877. Factor 1/5*v**2 + m*v - k.
(v - 2)*(v + 2)/5
Let t(m) be the third derivative of -2*m**7/105 - m**6/10 - m**5/5 - m**4/6 - 74*m**2 + 1. Factor t(o).
-4*o*(o + 1)**3
Find d, given that 7*d**4 + 3639*d**5 - 25*d**2 - 16 + d**2 - 56*d**3 - 3630*d**5 + 80*d = 0.
-2, 2/9, 1, 2
Let p(o) be the second derivative of 3*o**5/5 + 8*o**4/3 - 38*o**3 + 36*o**2 - o - 587. Find k such that p(k) = 0.
-6, 1/3, 3
Let o(q) be the third derivative of q**7/42 + 3*q**6/4 + 113*q**5/12 + 115*q**4/2 + 150*q**3 + 100*q**2 - q. Let o(s) = 0. Calculate s.
-6, -5, -1
Let i be 3 + 44/8 - 1. Let u = 8 - i. Let -3/2*n**4 - u - 6*n**2 - 5*n**3 - 3*n = 0. What is n?
-1, -1/3
Let q(m) be the second derivative of -4*m**7/35 - 73*m**6/75 - 93*m**5/50 + 22*m**4/15 + 4*m**3 - 16*m**2/5 - 10*m + 8. What is u in q(u) = 0?
-4, -2, -1, 1/4, 2/3
Let o(t) be the second derivative of t**7/147 - 2*t**6/105 - 2*t**5/35 + 4*t**4/21 + 74*t. Factor o(q).
2*q**2*(q - 2)**2*(q + 2)/7
What is f in f**5 - f**2 + 14 - 41*f**2 + 6*f**3 - 3*f - 4*f**5 + 7 + 21*f**4 = 0?
-1, 1, 7
Let o(d) = d**3 + 4*d**2 + 3*d + 3. Let l be o(-3). Determine u so that 6261*u - 6261*u - 5*u**l = 0.
0
Suppose -2*m + q + 3*q - 16 = 0, -25 = -5*q. Suppose 5*r + y - 5 = m*y, 2*r + 5*y = -25. Factor 0*t + r + 2/5*t**4 + 0*t**2 + 2/5*t**3.
2*t**3*(t + 1)/5
Let q be 3 + (2 - (2 + 2))/2. Let t be q/(-7) - 230/(-70). Factor 6*k**t + 3/2*k + 15/2*k**2 + 0.
3*k*(k + 1)*(4*k + 1)/2
Let g(h) be the first derivative of 2*h**5/15 - 8*h**3/3 + 16*h**2/3 + 176. Let g(b) = 0. Calculate b.
-4, 0, 2
Let o(p) = -28*p**2 - 24*p + 24. Let f(i) = -i**2 - 5*i + 1. Let k(m) = -24*f(m) + o(m). Suppose k(z) = 0. What is z?
0, 24
Let t be (14 - 1807/65) + 15. What is c in -3/5*c**4 + t + 3/5*c**3 + 9/5*c**2 - 3*c = 0?
-2, 1
Let d(f) = -2*f**2 - 1. Let w(p) = p**2 + 375*p - 367. Let h(o) = 3*d(o) + w(o). Solve h(i) = 0.
1, 74
Suppose -6 - 8*f**4 + 31*f**4 - 14*f + 4 - 18*f**2 - 3*f**4 + 14*f**3 = 0. Calculate f.
-1, -1/2, -1/5, 1
Let c(s) be the second derivative of s**7/42 + s**6/2 + 27*s**5/20 + 13*s**4/12 + 2*s + 13. Factor c(p).
p**2*(p + 1)**2*(p + 13)
Let q(u) be the first derivative of -7/15*u**6 + 0*u + 2/5*u**2 + 18/25*u**5 + 1/2*u**4 - 15 - 6/5*u**3. Determine c, given that q(c) = 0.
-1, 0, 2/7, 1
Let n(q) = -3*q - 147. Let u be n(-49). What is x in 6/7*x**3 + u + 0*x**2 - 3/7*x**5 - 3/7*x + 0*x**4 = 0?
-1, 0, 1
Factor 5*o**4 - 420*o - 10 + 205*o**2 - 70*o**3 + 190 + 100*o**2.
5*(o - 6)**2*(o - 1)**2
Suppose 0 = -4*o - 5*f, 2 = 2*o - f + 16. Let i be (-4)/12*(o - 1). Factor d - 8*d**i + 12*d**2 - 2*d**3 - 3*d.
-2*d*(d - 1)**2
Suppose 4/3*s**4 + 2/3*s**5 - 16/3*s**2 + 10/3*s + 4 - 4*s**3 = 0. Calculate s.
-3, -1, 1, 2
Let i(y) be the first derivative of 2*y**5/35 - y**4/14 - 2*y**3/7 + 5*y**2/7 - 4*y/7 + 22. Factor i(m).
2*(m - 1)**3*(m + 2)/7
Let j(u) be the third derivative of u**7/1050 + u**3/3 + 21*u**2. Let a(l) be the first derivative of j(l). Factor a(t).
4*t**3/5
Factor -3 - 2/3*g**3 - 8/3*g + 19/3*g**2.
-(g - 9)*(g - 1)*(2*g + 1)/3
Factor 2*b**4 - 2*b**3 + b**5 + 48*b + b**3 - 2*b**2 - 48*b.
b**2*(b - 1)*(b + 1)*(b + 2)
Suppose 4*y + 5*b + 4 = 0, 5*y - 16 = -2*b + b. Determine z, given that -6*z + 4*z + z - 9*z**2 + y*z = 0.
0, 1/3
Let o = -1443 + 30313/21. Let u = o + -1/7. Determine p so that -1/3 + 1/3*p**2 + u*p**3 - 1/3*p = 0.
-1, 1
Let p be 0*((-12)/(-36) - (1 - 1)). Factor 65*r**3 - 61*r**3 + 6*r - 2*r + 16*r**2 - 24 + p*r.
4*(r - 1)*(r + 2)*(r + 3)
Let -64/5*g**4 + 0 + 0*g - 24/5*g**3 + 18/5*g**2 = 0. What is g?
-3/4, 0, 3/8
Let x = 4922 + -4919. What is u in 0 + 3/2*u**2 + 1/2*u**x + u = 0?
-2, -1, 0
Let j be 12*(1 - 6/9). Let t be 14/8 + 1/j. Factor u - t*u**2 + 2*u**3 - 5 + 7 - 3*u.
2*(u - 1)**2*(u + 1)
Let x be 16/20*22/(-4)*(-15)/33. Let -9/4*u**x - 3/4*u - 5/4*u**3 + 1/4 = 0. Calculate u.
-1, 1/5
Factor -i - 15*i + 5*i**2 + 40 - 11*i - 8*i - 10*i.
5*(i - 8)*(i - 1)
Let t(j) be the third derivative of j**7/1260 + j**6/72 + j**4/12 - 17*j**2. Let n(y) be the second derivative of t(y). Factor n(z).
2*z*(z + 5)
Let o(i) be the first derivative of i**4/16 + 3*i**3/4 + 23*i**2/8 + 15*i/4 + 236. Determine x so that o(x) = 0.
-5, -3, -1
Let z(u) be the first derivative of -u**4 - 16*u**3/3 - 2*u**2 + 24*u + 54. Solve z(g) = 0 for g.
-3, -2, 1
Let t(g) be the first derivative of g**2 + 4/9*g + 7 - 1/2*g**4 - 4/27*g**3. Find o such that t(o) = 0.
-1, -2/9, 1
Let g(n) be the first derivative of n**4/20 - n**3/10 - 18*n - 6. Let i(d) be the first derivative of g(d). Factor i(q).
3*q*(q - 1)/5
Let y be (-45)/(-5) + (-3 - 0). Factor 4*q**2 - 5*q + 8*q + 3*q + y*q.
4*q*(q + 3)
Let y(o) = 5*o**2 - 274*o + 265. Let t(c) = -55*c**2 + 3015*c - 2915. Let l(x) = 4*t(x) + 45*y(x). Let l(m) = 0. What is m?
1, 53
Let u be (-92)/23 - 2/(-1). Let f(l) = 13*l**2 + 7*l - 7. Let a(w) = -4*w**2 - 2*w + 2. Let s(m) = u*f(m) - 7*a(m). Determine d so that s(d) = 0.
0
Let a(i) = i**2 - i - 15. Let d be a(5). Suppose 21 + 2*q**2 - 5*q**d - 16*q + 11*q**3 + 3*q**5 - q**3 - 13 - 2*q**4 = 0. What is q?
-2, 1
Let o(z) be the third derivative of -z**6/30 - z**5/5 - z**4/2 - 2*z**3/3 + 12*z**2 + 8. Find m such that o(m) = 0.
-1
Let i = -6 - -11. Suppose 5*q = -v + 182, i*q = 2*v - 4*v + 184. Determine d, given that q - 36 - 6*d - 3*d**2 = 0.
-2, 0
Let u(j) be the first derivative of -3/13*j**2 + 4/13*j + 2/39*j**3 + 11. Let u(r) = 0. What is r?
1, 2
Let j(d) be the first derivative of 1/42*d**4 + 1/7*d**2 - 3*d + 4 - 2/21*d**3. Let z(s) be the first derivative of j(s). Find a, given that z(a) = 0.
1
Let z = 1381/2072 + 1/6216. Let -4/3 - 4/3*t**4 + 8/3*t**2 + z*t**5 - 4/3*t**3 + 2/3*t = 0. Calculate t.
-1, 1, 2
Let v(n) = 6*n**4 + 8*n**3 + 1