39*p**3 - 1/195*p**6 - 28*p + 9/130*p**5 + 0*p**2. Let b(m) = 0. Calculate m.
-4, 0, 1
Solve 0 - u**3 - 1/4*u + 5/4*u**2 = 0 for u.
0, 1/4, 1
Let f be 4 - (-2 - -4) - -1. Factor -6*n**3 - 9*n**2 + 0*n**3 - f*n + 9 + 9*n**3.
3*(n - 3)*(n - 1)*(n + 1)
Let p(d) be the first derivative of -12*d - 33/2*d**2 + 4 + 3*d**3. Let p(z) = 0. Calculate z.
-1/3, 4
Solve 75 - 27*v + 3*v**2 - 27 - 3*v = 0 for v.
2, 8
Suppose 3*m + 18 = -42. Let g be ((-3)/m*-1)/((-1)/4). Factor 18/5*o**3 + 3/5*o - 12/5*o**4 + g*o**5 + 0 - 12/5*o**2.
3*o*(o - 1)**4/5
Suppose -96*c**2 - 72*c - 8*c**4 - 1/2*c**5 + 0 - 44*c**3 = 0. What is c?
-6, -2, 0
Let t(u) be the second derivative of u**6/60 - 11*u**5/40 + 31*u**4/24 - 7*u**3/4 - 399*u. Determine z so that t(z) = 0.
0, 1, 3, 7
Let g(l) = 4*l**3 + 43*l**2 + 74*l + 38. Let j(f) = 15*f**3 + 171*f**2 + 297*f + 152. Let i(p) = -11*g(p) + 3*j(p). Suppose i(d) = 0. Calculate d.
-38, -1
Let v(m) = 6*m - 32 - 4*m**2 - 8*m**2 + 13*m**2 + 9*m. Let r be v(-17). Factor 3*k + 3/2*k**r + 3/2.
3*(k + 1)**2/2
Let t(p) = p**3 - p**2 - 2*p + 3. Let o be 3*(-4)/24*-2. Let u(a) = a**3 + a**2 + 1. Let v(f) = o*t(f) - 3*u(f). What is j in v(j) = 0?
-1, 0
Suppose t + t = 12. Let 0*z**2 - 4 - 69*z - 8*z**3 + t*z**2 + 74*z + 2 - 4*z**4 + 3*z**5 = 0. What is z?
-1, 1/3, 1, 2
Let j(z) = -28*z**2 + 709*z - 155. Let x(v) = -19*v**2 + 472*v - 104. Let r(t) = -5*j(t) + 8*x(t). Factor r(g).
-3*(g - 19)*(4*g - 1)
Let t(y) be the second derivative of 0 + 3/4*y**5 + 1/6*y**6 + 6*y + 5/12*y**4 - 5/2*y**3 - 5*y**2. Factor t(o).
5*(o - 1)*(o + 1)**2*(o + 2)
Let r be 38/14 + 10/35. Factor -3*w**3 - 15*w**r + 21*w**2 - 5*w + 14*w**2 - 12*w**3.
-5*w*(w - 1)*(6*w - 1)
Let b = 2042/2035 - 152/185. Let 0*j + 7/11*j**3 + b*j**2 + 0 + 5/11*j**4 = 0. What is j?
-1, -2/5, 0
Factor -6/5*w**3 + 3*w**2 + 18/5*w + 0 - 3/5*w**4.
-3*w*(w - 2)*(w + 1)*(w + 3)/5
Let y be 0/(-2) - (-758)/2653. Factor -40/7*s + 48/7 + y*s**3 + 4/7*s**2.
2*(s - 2)**2*(s + 6)/7
Let q = 11810 + -35429/3. Factor 2/3*r**3 - 1/6*r**5 + q*r**2 + 0*r**4 - 1/3 - 1/2*r.
-(r - 2)*(r - 1)*(r + 1)**3/6
Let q(d) be the first derivative of -d**6/180 - 2*d**5/15 - 4*d**4/3 + 4*d**3/3 - 1. Let z(h) be the third derivative of q(h). Let z(v) = 0. What is v?
-4
Let y(u) be the first derivative of 5*u**9/1008 - 13*u**7/504 + u**5/18 + 18*u**3 - 23. Let m(r) be the third derivative of y(r). Let m(h) = 0. What is h?
-1, -2/3, 0, 2/3, 1
Let l(o) be the first derivative of 0*o - 4*o**3 + 4/5*o**5 - 42 - 4*o**2 + 0*o**4. Factor l(v).
4*v*(v - 2)*(v + 1)**2
Let v(w) = -w**2 - w**3 - 2 - 1 + 17*w - 16*w. Let l(n) = -n**3 - n**2 + n - 1. Let k(x) = 2*l(x) - v(x). Factor k(d).
-(d - 1)*(d + 1)**2
Let p(y) = -y**3 + 41*y**2 + 74*y + 518. Let g be p(43). Let -3*d - 1/2*d**g - 5/2 = 0. What is d?
-5, -1
Let h(i) = -21*i + 2. Let a be h(0). Factor 1/2*c - 1/2*c**a + 1.
-(c - 2)*(c + 1)/2
Let m(l) = l**2 + 15*l + 5. Let t be m(-15). Suppose -8*x = -11*x + 4*y, -t*y = 4*x. Determine p so that 0*p + x + 1/2*p**3 + 1/2*p**2 = 0.
-1, 0
Let c(r) be the first derivative of -r**4/4 + 5*r**3 - 75*r**2/2 + 125*r + 95. Factor c(p).
-(p - 5)**3
Let q be 483/414*(-9)/(-14). Let b(c) be the second derivative of -1/60*c**6 + 3/20*c**5 - q*c**2 + 0 - 1/2*c**4 - 7*c + 5/6*c**3. Let b(i) = 0. What is i?
1, 3
Let v(s) = 2*s. Let g(z) = -63*z**3 - 74*z**2 - 3*z + 2. Let m(a) = -g(a) + 3*v(a). Factor m(u).
(u + 1)*(7*u + 2)*(9*u - 1)
Let z = -24611/9 + 2735. Factor -4/9*c + 2/9*c**4 + z*c**3 - 2/9 + 0*c**2.
2*(c - 1)*(c + 1)**3/9
Let n = 17/49 - -1091/245. Let w = 238 + -235. Factor 2/5*i**w + 12/5*i**2 + n*i + 16/5.
2*(i + 2)**3/5
Let u(x) = -7*x**3 - 56*x**2 - 37*x - 293. Let r be u(-8). Factor -3/5*m**2 + r*m + 0.
-3*m*(m - 5)/5
Let z(k) be the third derivative of -k**5/300 - k**4/15 - 2*k**3/5 - 12*k**2 - 21*k. Let z(o) = 0. What is o?
-6, -2
Let z(f) = f**3 - 14*f**2 - 15*f + 7. Let w be z(15). Factor 4*s**4 + 16*s**3 + 8*s + 20*s**2 + 7*s - w*s.
4*s*(s + 1)**2*(s + 2)
Let q(v) be the second derivative of -v**7/840 - v**6/120 - v**5/40 + 25*v**4/12 + 29*v. Let j(t) be the third derivative of q(t). Solve j(c) = 0.
-1
Let r(w) = w**2 + 10*w - 7. Let o(v) be the second derivative of 3*v**3/2 - 3*v**2 - 15*v. Let i(q) = 4*o(q) - 3*r(q). Factor i(l).
-3*(l - 1)**2
Let m(j) be the third derivative of -j**5/30 + 2*j**4 + 52*j**3/3 - 7*j**2 - 1. Factor m(k).
-2*(k - 26)*(k + 2)
Suppose 0*t = -t + 56. Factor -34*l - 42*l - 36*l**3 - 24 - 28*l**2 - 4*l**4 - t*l**2.
-4*(l + 1)**3*(l + 6)
Let p(d) be the third derivative of d**8/33600 - d**6/300 - 7*d**5/30 + 15*d**2. Let i(w) be the third derivative of p(w). Solve i(l) = 0.
-2, 2
Let g be 134/(-210) - (-15)/(-25). Let x = -11/21 - g. Let 1/7*j**3 + x*j**2 + 4/7 + 8/7*j = 0. Calculate j.
-2, -1
Solve -3/4*t**2 - 3/8*t**5 + 9/8*t + 9/8*t**4 - 3/8 - 3/4*t**3 = 0.
-1, 1
Let v = -24 + 26. Let 94*n + 4*n**2 + 5*n**3 + n**2 - 89*n + 5*n**v = 0. Calculate n.
-1, 0
Let q(t) be the second derivative of -3*t**5/16 - t**4/16 + 3*t**3/4 - 131*t. What is s in q(s) = 0?
-6/5, 0, 1
Suppose 10 - 4 = 3*d, -5*u = -3*d + 26. Let q be 6/(-1 - u)*6/8. Factor 0 - 3/2*r**3 + 0*r + 1/2*r**2 + q*r**4 - 1/2*r**5.
-r**2*(r - 1)**3/2
Let k = 849/4495 + 10/899. What is i in k*i**2 + i + 3/5 - 1/5*i**3 = 0?
-1, 3
Let q(b) be the third derivative of b**7/105 - 9*b**6/20 + 44*b**5/5 - 272*b**4/3 + 512*b**3 + 2*b**2 - 51. Factor q(f).
2*(f - 8)**3*(f - 3)
Suppose 0 + 34/9*w**2 + 2/3*w - 4/3*w**3 = 0. What is w?
-1/6, 0, 3
Let p(t) be the second derivative of -t**4/54 - 2*t**3/9 + 8*t + 1. Factor p(k).
-2*k*(k + 6)/9
Let j(z) be the second derivative of z**8/336 - z**7/84 + z**6/72 + z**3/6 + 3*z**2 - 11*z. Let o(g) be the second derivative of j(g). Factor o(b).
5*b**2*(b - 1)**2
Let q(h) = 4*h**5 - 2*h**4 + 21*h**3 - 47*h**2 - 11*h + 42. Let d(k) = 2*k**5 - 2*k**4 + k**3 - k**2 - k - 2. Let t(l) = -6*d(l) + 2*q(l). Factor t(n).
-4*(n - 2)**3*(n + 1)*(n + 3)
Let d(i) be the first derivative of i**3 + 6*i**2 - 15*i - 444. Suppose d(s) = 0. What is s?
-5, 1
Let a be (-168)/(-196) - (-40)/(-63). Let t(j) be the first derivative of 0*j + a*j**5 - 1/6*j**4 - 4/27*j**3 + 0*j**2 + 4. Factor t(m).
2*m**2*(m - 1)*(5*m + 2)/9
Suppose -4*m = -3*g + 12, 4*m = 4*g + 2*m - 26. Let o = 10 - g. Factor 0*n**2 + 3 - n**o + n + 0*n + n.
-(n - 3)*(n + 1)
Suppose -r - 4*m = 2, 0 = r - m - 129 + 126. Factor -6/5 + 1/5*b**r - 1/5*b.
(b - 3)*(b + 2)/5
Let g(s) be the first derivative of -s**6/60 - s**5/30 + s**4/6 - 37*s**2/2 - 29. Let l(m) be the second derivative of g(m). Factor l(a).
-2*a*(a - 1)*(a + 2)
Let a(l) = l**3 - 2*l - 1. Let r(u) = 4*u**3 + 12*u**2 - 6*u - 3. Let k(t) = 6*a(t) - 2*r(t). Solve k(d) = 0 for d.
-12, 0
Let c(r) be the first derivative of 2*r**5/25 + 2*r**4/5 + 2*r**3/15 - 6*r**2/5 + 65. Factor c(j).
2*j*(j - 1)*(j + 2)*(j + 3)/5
Let s = 461 - 4141/9. Find w such that s*w**2 - 4 + 2/3*w - 2/9*w**3 = 0.
-2, 3
Let v(l) be the third derivative of 5*l**8/336 + 4*l**7/21 + 2*l**6/3 - 3*l**5/2 - 135*l**4/8 - 45*l**3 + l**2 - 10*l. Factor v(r).
5*(r - 2)*(r + 1)*(r + 3)**3
Let c(p) = p**2 + p. Let y(d) = -12*d**2 - 15*d - 4. Let i(t) = -22*c(t) - 2*y(t). Let z be i(-1). Determine v, given that 4/9*v**z + 2/9*v**3 + 0 + 0*v = 0.
-2, 0
Let g(c) = 7*c + 48. Let f be g(-7). Let s be (f/(-9) - 0)/(58/261). What is k in 1/4 - 3/4*k + s*k**2 = 0?
1/2, 1
Let x be (-165)/(-10) - 7/(-14). Factor 2 - 12*d + 6 - x - 4 + d**2.
(d - 13)*(d + 1)
Let a = -18 - -42. What is n in -8*n + 15*n + a + 21*n - 12*n**2 = 0?
-2/3, 3
Suppose -102 + 112 = 2*x. Let c(j) be the third derivative of 0*j + 1/60*j**x + 1/12*j**4 + 1/6*j**3 - 2*j**2 + 0. Factor c(g).
(g + 1)**2
Let r(m) be the first derivative of -3*m**4/4 - m**3/3 + m**2/2 - m + 11. Let z(u) = -10*u**3 - 4*u**2 + 3*u - 3. Let x(i) = 7*r(i) - 2*z(i). Factor x(c).
-(c - 1)**2*(c + 1)
Let s be (0 - 12/30)/((-12)/90). Suppose -v - 2/3 + 0*v**4 + 4/3*v**s - 1/3*v**5 + 2/3*v**2 = 0. Calculate v.
-1, 1, 2
Let -361/4 - 19/2*a - 1/4*a**2 = 0. Calculate a.
-19
Let u(k) be the first derivative of 3*k**4/4 + 5*k**3 + 12*k**2 + 12*k + 167. Factor u(c).
3*(c + 1)*(c + 2)**2
Let t(r) be the third derivative of -r**7/5040 + r**6/360 - r**5/60 + 7*r**4/24 - 5*r**2. Let b(n) be the second derivative of t(n). Factor b(m).
-(m - 2