e r + 5 = x, o*x - 4*x - r + 19 = 0. Factor 3*a**3 + 18*a + 6*a**2 - 13*a - x*a - 6.
3*(a - 1)*(a + 1)*(a + 2)
Let -6*g + g**4 - 7*g**4 + 5*g**3 + 3*g**2 + 7*g**4 - 3*g = 0. What is g?
-3, 0, 1
Let p(n) = -3*n**2 - 15*n + 3. Let k be p(-5). Factor -m**3 - m**k - 308 - 8*m**2 + 344 + 6*m.
-2*(m - 2)*(m + 3)**2
Let p(z) be the second derivative of -3*z**5/40 - 9*z**4/4 - 81*z**3/4 + z - 196. Factor p(q).
-3*q*(q + 9)**2/2
Determine o, given that -18/5*o**3 + 0*o + 0 + 0*o**2 + 1/5*o**4 = 0.
0, 18
Let p be ((-1)/(1/13))/((-28)/(-84)). Let m = p + 43. What is k in 3/2*k**2 - 3/2*k**5 + 0 + 0*k - 3/2*k**m + 3/2*k**3 = 0?
-1, 0, 1
Suppose 3*g + 30 = 13*g. Let o be 16 - 15 - (-5)/g. Suppose 10*a**2 + 25/3*a**3 + o - 12*a = 0. What is a?
-2, 2/5
Let z be 1*(-9)/12*120/(-99). Let w = z + 13/22. Find x such that 3/2*x**4 - 1/2*x**5 - w*x**3 + 0*x + 1/2*x**2 + 0 = 0.
0, 1
Suppose -3*q + 19 = -2. Let w(b) be the second derivative of q*b + 0*b**2 - 1/24*b**4 + 1/3*b**3 + 0. Factor w(y).
-y*(y - 4)/2
Let m = 13/161 - -457/322. Find i, given that 3*i - 9/2*i**2 + 0 + m*i**3 = 0.
0, 1, 2
Let n(z) be the first derivative of z**5/20 - 5*z**4/16 + z**3/4 + 5*z**2/8 - z - 296. Determine g so that n(g) = 0.
-1, 1, 4
Let y be 16 - 13 - 171/133. Solve 26/7*l + y - 6/7*l**3 + 8/7*l**2 = 0.
-1, -2/3, 3
Let c be 5 + 4/((-8)/(-6)). Let a = 20 - c. Determine q so that -21*q**5 - 6*q**4 + 40*q**3 - 6 - 17*q**3 - 21*q + a*q**2 + 19*q**3 + 0 = 0.
-1, -2/7, 1
Factor 0*g**2 + 48 + 51 - 96 + g**2 + 4*g.
(g + 1)*(g + 3)
Let s(w) be the first derivative of 0*w - 5 + 0*w**3 - 1/8*w**4 + 0*w**2. Factor s(b).
-b**3/2
Suppose -18*c + 13*c = 3*j + 3, -1 = 4*c + j. Let -18/13*x + 2/13*x**3 + c + 16/13*x**2 = 0. Calculate x.
-9, 0, 1
Let h(w) be the first derivative of 176/21*w**3 - 136/7*w**2 - 30 - w**4 + 64/7*w. Determine x so that h(x) = 0.
2/7, 2, 4
Find a, given that -1/10*a**2 - 9/10 - 3/5*a = 0.
-3
Let d = -321 - -323. Let l(t) be the second derivative of -11*t + 2/15*t**6 - 8/3*t**3 - t**4 + 0 + 8*t**d + 2/5*t**5. Determine r, given that l(r) = 0.
-2, 1
Let b(t) be the third derivative of 0*t**6 + 0*t + 4/945*t**7 + 1/756*t**8 + 0 + 27*t**2 + 0*t**3 - 2/135*t**5 - 1/54*t**4. Factor b(k).
4*k*(k - 1)*(k + 1)**3/9
Suppose -196*k + 182*k = -98. Let y(w) be the first derivative of -3/4*w**4 + 2*w**3 + k - 3/2*w**2 + 0*w. Solve y(j) = 0.
0, 1
Let i(p) = p**3 + 4*p**2 + 4*p + 3. Let x be i(-3). Let n = x - -2. Suppose 2/9*v**n - 4/3*v + 2 = 0. Calculate v.
3
Let z(w) be the first derivative of 2*w**5/35 + w**4/14 - 4*w**3/21 - 26. Let z(m) = 0. Calculate m.
-2, 0, 1
Let j(w) be the first derivative of w**7/5880 + w**6/504 + w**5/140 + 10*w**3 - 41. Let x(k) be the third derivative of j(k). Factor x(d).
d*(d + 2)*(d + 3)/7
Let f be ((-5)/(-3))/((-85)/(-306)). Let b(n) be the second derivative of -1/21*n**7 + 7*n + 1/3*n**4 + 1/3*n**3 + 0*n**2 + 0 - 2/15*n**f + 0*n**5. Factor b(g).
-2*g*(g - 1)*(g + 1)**3
Let c be 5*28/35 + (-3 - -1). Determine o, given that 2*o**c + 11 - 10*o - 23 + 12 = 0.
0, 5
Let q be (-32)/80 - (-22)/5. Suppose g + 3*i = -13, -3*g = -i - q*i - 31. Factor 5/4*z - 7/4*z**g - 1/4 + 3/4*z**3.
(z - 1)**2*(3*z - 1)/4
Let y(f) be the second derivative of -87*f**4/20 - 89*f**3/10 - 3*f**2/5 - 335*f. Factor y(g).
-3*(g + 1)*(87*g + 2)/5
Let j be (0/(-9))/(-7)*2/10. Let x(y) be the third derivative of 0*y**3 - 1/16*y**4 + j - 5*y**2 - 1/10*y**5 + 0*y. Factor x(q).
-3*q*(4*q + 1)/2
Let o = -742 + 747. Let p(l) = 2*l**2 - 38*l - 16. Let g(h) = -h**2 + 25*h + 11. Suppose 0 = -4*i - 6 + 38. Let s(d) = i*g(d) + o*p(d). Factor s(k).
2*(k + 1)*(k + 4)
Let z(o) be the first derivative of -5*o**4/12 - 25*o**3/6 - 23*o + 29. Let g(y) be the first derivative of z(y). Factor g(a).
-5*a*(a + 5)
Let b = 1/4246 - -42457/12738. Factor -4/3 - 8/3*g**2 - 2/3*g**3 - b*g.
-2*(g + 1)**2*(g + 2)/3
Let w be -14*(4 + 1222/(-273)). Factor -4*i**2 - 8/3 - w*i.
-4*(i + 1)*(3*i + 2)/3
Let v(f) be the first derivative of -5*f**3/3 + 270*f**2 - 14580*f + 75. Factor v(k).
-5*(k - 54)**2
Let k be (-15)/40 - 6/(-12). Let p be (0 + -1)*0*-1. Factor -k*r**2 + 0 + p*r.
-r**2/8
Let z(o) = -5*o**3 - o**2 - 2*o - 1. Let s be z(-1). Suppose -2*g - 2*g - 22 = -2*a, 3*a = -s*g + 33. Factor -9*h - a*h**2 - 6 + 8*h**2 + 0*h**2.
-3*(h + 1)*(h + 2)
Let i = 8 - 12. Let k be (i/(84/9))/(3/(-8)). Factor 2/7*c**4 + k*c**3 + 10/7*c**2 + 4/7*c + 0.
2*c*(c + 1)**2*(c + 2)/7
Find v such that 7*v**2 - 18*v**2 + 0*v**2 - 36*v + 126 + 11*v**2 - 2*v**2 = 0.
-21, 3
Let b = -1/13 + 43/390. Let o(d) be the third derivative of 1/6*d**4 - d**2 + 0 + 0*d - d**3 + b*d**5. Factor o(u).
2*(u - 1)*(u + 3)
Let o(j) be the second derivative of -6*j + 0 + 16*j**2 - 3/5*j**5 - 4/3*j**6 - 24*j**3 + 2/7*j**7 + 38/3*j**4. Solve o(n) = 0 for n.
-2, 1/3, 1, 2
Let q = 5/3068 + 6091/27612. Factor q*o**4 + 0*o + 0 - 2/3*o**3 + 4/9*o**2.
2*o**2*(o - 2)*(o - 1)/9
Let t(i) be the second derivative of -i**5/10 - 17*i**4/6 + 20*i + 10. Factor t(g).
-2*g**2*(g + 17)
Factor 10*u - 6/13*u**2 + 44/13.
-2*(u - 22)*(3*u + 1)/13
Let w(d) = -90*d**4 + 2*d**3 + 262*d**2 + 164*d - 8. Let o(x) = -2*x**4 - x**3 + 2*x**2 + 2*x. Let u(a) = -4*o(a) + 2*w(a). Find k such that u(k) = 0.
-1, 2/43, 2
Suppose 108*m - 110*m = 0. Let g(b) be the second derivative of 1/90*b**6 + 1/30*b**5 + 0*b**3 + m + 0*b**2 + 1/36*b**4 - b. Factor g(a).
a**2*(a + 1)**2/3
Let n = 84 + -82. Suppose 0 = t + 4*i - n, -t = t + 5*i - 4. Suppose 0*m + 2/5*m**t + 0 + 2/5*m**3 = 0. Calculate m.
-1, 0
Let x(k) be the second derivative of 1/3*k**2 + 7*k + 0 + 0*k**3 - 1/24*k**4 - 1/120*k**5. Factor x(d).
-(d - 1)*(d + 2)**2/6
Let g(m) = m**2 - 57*m + 113. Let f(r) = -8*r**2 + 400*r - 790. Let i(u) = 6*f(u) + 44*g(u). Find d, given that i(d) = 0.
-29, 2
Suppose 9*n - 25 = 2. Let z(k) be the second derivative of 9/7*k**2 - n*k + 1/42*k**4 + 2/7*k**3 + 0. Suppose z(r) = 0. Calculate r.
-3
Let j(i) be the first derivative of -i**6/48 + i**5/24 + 5*i**4/24 - 11*i**2/2 - 7. Let c(q) be the second derivative of j(q). Factor c(u).
-5*u*(u - 2)*(u + 1)/2
Suppose -6*o + 188 = -244. Let t = 1 + 1. Factor 32*r**4 + 42*r**3 + 4*r - 32*r + o*r**t - 50*r**3 + 4 - 72*r**3.
4*(r - 1)*(2*r - 1)**3
Suppose t - 274 = -4*f + 3*t, -3*t = 5*f - 315. Determine c so that -48*c**2 - f*c + 36 + 33*c**2 - 41*c**2 - 12*c**3 + 2*c**3 = 0.
-3, 2/5
Let t(o) be the third derivative of o**8/5040 - o**7/2520 - o**6/2160 + 19*o**4/24 - 6*o**2. Let x(i) be the second derivative of t(i). Factor x(a).
a*(a - 1)*(4*a + 1)/3
Let y(i) = -17*i**2 + 230*i - 2639. Let u(m) = 155*m**2 - 2070*m + 23750. Let r(o) = 6*u(o) + 55*y(o). What is v in r(v) = 0?
23
Let i(k) = -9*k + 23. Let x be i(-10). Let d = 115 - x. Solve 0 - 2/3*q - 2/9*q**3 + 8/9*q**d = 0 for q.
0, 1, 3
Let v(c) = 6*c**3 + 230*c**2 + 452*c + 238. Let p(y) = -2*y**3 - 77*y**2 - 151*y - 79. Let w(h) = -10*p(h) - 3*v(h). Factor w(t).
2*(t + 1)**2*(t + 38)
Suppose -5*f + 5 = 4*i - i, -4*f - 2*i = -6. Suppose 0 = -5*s - 2*b, -2*s - 2*b + 5*b = -19. Factor -p**3 - s*p**2 + 8*p**3 + f*p**3 - 15*p**3.
-2*p**2*(2*p + 1)
Let v(k) = -6*k**5 + 87*k**3 - 159*k**2 + 3*k - 3. Let m(q) = -5*q**5 + 85*q**3 - 160*q**2 + 2*q - 2. Let r(n) = 3*m(n) - 2*v(n). Find h, given that r(h) = 0.
-6, 0, 3
Suppose 4/3 - 7/3*b + 1/3*b**3 + 2/3*b**2 = 0. What is b?
-4, 1
Let m(k) be the third derivative of 0*k**3 - 11*k**2 + 1/1155*k**7 + 0*k - 1/330*k**5 + 1/660*k**6 - 1/132*k**4 + 0. Factor m(o).
2*o*(o - 1)*(o + 1)**2/11
Let c(f) be the first derivative of -f**6/150 - 3*f**5/100 + f**4/60 + f**3/10 + 13*f - 6. Let z(l) be the first derivative of c(l). Factor z(d).
-d*(d - 1)*(d + 1)*(d + 3)/5
Suppose -89*x = -94*x + 15. Let f(d) be the first derivative of 7 + 4/17*d - 7/17*d**2 + 7/34*d**4 + 2/17*d**x - 2/17*d**5. Let f(y) = 0. Calculate y.
-1, 2/5, 1
Let q(m) = -m**2 - m. Let h(s) = s + 1. Let j = -13 + 23. Let a = j - 8. Let x(u) = a*h(u) - q(u). Factor x(n).
(n + 1)*(n + 2)
Let x(j) be the third derivative of -3*j**6/220 + j**5/11 - 25*j**4/132 + 71*j**2. Find g such that x(g) = 0.
0, 5/3
Let a(v) = -25*v**4 - 737*v**3 - 7688*v**2 - 14*v. Let q(f) = 12*f**4 + 369*f**3 + 3844*f**2 + 6*f. Let z(b) = -3*a(b) - 7*q(b). Determine n so that z(n) = 0.
-62/3, 0
Let k = -121 + 123. Let y be (-1 - -1) + -1 - -3. Let