n**3 - 6*n**2. Factor v(l).
-2*(l - 2)**2*(l + 1)**2
What is v in -159/8 + 3/8*v**2 + 39/2*v = 0?
-53, 1
Let p = -109 + 112. Factor 4 + 6*m**2 + 15*m**p - 4 - 275*m**4 + 284*m**4.
3*m**2*(m + 1)*(3*m + 2)
Factor 0*z + 0 + 212/5*z**2 + 2/5*z**3.
2*z**2*(z + 106)/5
Suppose -2*g = 4*i + 4, -3 - 11 = -3*g + 4*i. Solve -6*l**3 + 24*l**2 - 48*l**2 + 20*l**g + 2*l = 0 for l.
-1, 0, 1/3
Factor 7473*n**5 - 4*n**4 + 7466*n**5 - 14943*n**5.
-4*n**4*(n + 1)
Suppose 72 = -4*y - 2*n, 0*y - 2*y = -3*n + 20. Let z = y - -20. Factor -10*q**2 - q**3 - 2*q**z - 14*q**3 - 3*q**4.
-5*q**2*(q + 1)*(q + 2)
Let x(h) be the third derivative of -20*h**2 + 0 - 7/240*h**6 + 1/16*h**4 - 1/840*h**7 + 0*h**3 + 1/672*h**8 + 0*h - 1/48*h**5. Determine o so that x(o) = 0.
-2, -1, 0, 1/2, 3
Let n = -25 - -19. Let i(d) = 3*d**2 + 14*d. Let r(z) = z**2 + 5*z. Let m(w) = n*i(w) + 17*r(w). Solve m(f) = 0.
0, 1
Let x(i) = -240*i - 60. Let j be x(2). Let f be (-6)/39 + j/(-130). Factor -1/6*g**f + 5/6*g**3 - 4/3*g**2 + 2/3*g + 0.
-g*(g - 2)**2*(g - 1)/6
Suppose -6*p + 3 = -39. Let d(w) = 2*w - 12. Let u be d(p). Solve 0*a**3 + 4*a**3 + 2*a**3 + 8 - 6*a**2 - 8*a**u = 0.
-2/3, 1, 2
Let z(u) be the second derivative of -u + 4/15*u**3 + 1/3*u**4 - 3/25*u**5 + 0*u**2 + 0. Factor z(m).
-4*m*(m - 2)*(3*m + 1)/5
Let y(l) be the first derivative of l**3/3 - 3*l**2/2 + 2*l - 58. Find d, given that y(d) = 0.
1, 2
Suppose 5*z - 76 = -4*u, -64 = -8*z + 3*z - u. Suppose -6 = 3*x - 5*a, a - 6 = -5*x + z. Factor -10*k**2 + 4*k**2 + 3*k + x*k - 3*k**2.
-3*k*(3*k - 2)
Let h = -750 - -1513/2. Let -11*w**4 - 5/2*w**5 - 16*w**2 - 1 - 19*w**3 - h*w = 0. What is w?
-1, -2/5
Let t(n) be the second derivative of -n**9/448 + 3*n**8/1120 - n**7/1120 - 13*n**3/6 + 33*n. Let j(h) be the second derivative of t(h). Factor j(g).
-3*g**3*(3*g - 1)**2/4
Let c = 6173/7 + -881. Factor -16/7*m**2 + 2/7*m**5 - c*m + 0 + 0*m**4 - 12/7*m**3.
2*m*(m - 3)*(m + 1)**3/7
Suppose 4*t + h - 49 = 7*t, 0 = t - 4*h + 20. Let d be t/(-7) + (-3 - (-152)/56). Factor -1/7*g**d + 1/7*g**4 + 0 + 0*g**3 + 0*g.
g**2*(g - 1)*(g + 1)/7
Let i = 12051 + -12047. Factor 8/3*w + 16/3*w**2 + 10/3*w**3 + 2/3*w**i + 0.
2*w*(w + 1)*(w + 2)**2/3
Determine d, given that 290 + 0*d**2 + 2*d**2 - 278 - 3*d**2 + 4*d = 0.
-2, 6
Let u(d) be the second derivative of -1/8*d**3 + 0 + 0*d**2 - 6*d - 5/48*d**4. Solve u(l) = 0 for l.
-3/5, 0
Let p(i) = -i**3 - 4*i**2 + 5*i + 3. Let c be p(-5). Let m = -94111/9 - -10457. Factor 0*t + 2/9*t**c + 2/9*t**4 - 2/9*t**2 + 0 - m*t**5.
-2*t**2*(t - 1)**2*(t + 1)/9
Let f(m) be the third derivative of -1/135*m**5 - 1/135*m**6 + 0*m + 0 + 0*m**4 - 2/945*m**7 - 37*m**2 + 0*m**3. Determine l so that f(l) = 0.
-1, 0
Let d(h) = -h**2 - 78*h - 80. Let k(i) = i**2 + 156*i + 160. Let q(c) = -5*d(c) - 3*k(c). Factor q(x).
2*(x - 40)*(x + 1)
Let c(u) = -17*u**2 + 17. Suppose 0 = -15*y + 13*y - 6. Let n(a) = -6*a**2 + 6. Let p(i) = y*c(i) + 8*n(i). Find o such that p(o) = 0.
-1, 1
Suppose t = -0*t + 5. Suppose 2*g + 0*b - 2*b - 22 = 0, -3*g + 1 = t*b. Suppose -q**4 + 21*q**2 + 8*q**3 - 2*q**4 - 8*q - 8 - g*q**2 - 3*q**4 = 0. What is q?
-1, -2/3, 1, 2
Solve 3*q**4 + 1/2*q**5 - 35/2*q**3 + 24*q**2 - 10*q + 0 = 0 for q.
-10, 0, 1, 2
Let l(m) = -m**3 - 1. Let t(u) = -5*u**3 - 30*u**2 - 300*u - 1004. Let x(z) = 4*l(z) - t(z). Solve x(q) = 0.
-10
Suppose -4*m = r, 2*r + 2*m - 10 = 4*m. Let -2/5*o - 4/5*o**2 + 2/5*o**3 + 1/5 + 3/5*o**r = 0. What is o?
-1, 1/3, 1
Let b = -38 - -39. Let f be 11/(-55)*(-1)/b. Factor 0 + f*h + 1/5*h**2.
h*(h + 1)/5
Let v be 2/4*(-470)/75. Let z = -14/5 - v. Factor -l**3 + 4/3 + 8/3*l + z*l**2.
-(l - 2)*(l + 1)*(3*l + 2)/3
Let x = 1014 + -1012. Let i(p) be the third derivative of 0*p - 5*p**x - 1/2*p**3 + 1/20*p**5 + 0 + 0*p**4. Factor i(w).
3*(w - 1)*(w + 1)
Suppose 4*q - 2*t + t = 7, -4*q - 2*t + 10 = 0. Determine x so that q*x**3 + x - x**3 - 2*x = 0.
-1, 0, 1
Let w(t) be the first derivative of 9 - 17 - 13 - t**2 - 14 - 2*t**3. Find v such that w(v) = 0.
-1/3, 0
Suppose 2 + 15*z + 21/4*z**3 + 61/2*z**2 - 49/4*z**4 = 0. What is z?
-1, -2/7, 2
Let w(k) be the third derivative of 0 + 0*k**3 - 1/45*k**5 - 37*k**2 + 0*k - 1/18*k**4 - 1/360*k**6. Factor w(r).
-r*(r + 2)**2/3
Factor 4*f**5 - 28*f**3 + 76824*f**2 - 76744*f**2 - 8*f**4 - 3*f - 9*f - 36*f.
4*f*(f - 2)**2*(f - 1)*(f + 3)
Let i(v) be the third derivative of 0 + 0*v - 1/10*v**4 + 0*v**5 + 3/200*v**6 - 1/350*v**7 + 0*v**3 - 6*v**2. Suppose i(u) = 0. Calculate u.
-1, 0, 2
Let p(d) be the second derivative of 4*d**3 + 0 - 6*d**2 - 21/20*d**5 + 3/4*d**4 + 1/5*d**6 + 44*d. Let p(z) = 0. What is z?
-1, 1/2, 2
Let i(q) = -q**4 - 3*q**3 - 7*q**2 - 3*q. Let v(w) = w**4 + w**3 + w**2. Suppose 15*m - 10*m = 30. Let r(c) = m*v(c) + 3*i(c). Factor r(g).
3*g*(g - 3)*(g + 1)**2
Let g(s) be the third derivative of s**7/70 - s**6/20 + s**4/4 - s**3/2 - 2*s**2 + 88*s. Determine c, given that g(c) = 0.
-1, 1
Let r = 3441 + -3439. Factor 1/4*x**3 + 1/4*x + 0 - 1/2*x**r.
x*(x - 1)**2/4
Let i(c) be the first derivative of -1/15*c**5 + 1/9*c**3 - 1/3*c**2 + 0*c + 1/6*c**4 - 13. Solve i(o) = 0.
-1, 0, 1, 2
Let p(s) be the first derivative of 0*s**2 + 0*s + 1/18*s**3 + 26 - 1/36*s**6 + 1/24*s**4 - 1/30*s**5. Factor p(z).
-z**2*(z - 1)*(z + 1)**2/6
Let x(f) be the first derivative of 5*f**6/2 - 8*f**5 + 15*f**4/4 + 10*f**3/3 + 99. Let x(w) = 0. Calculate w.
-1/3, 0, 1, 2
Let v be 14/(-3) + 14/(15 - 13). Let 3*i**3 - v*i**4 + 11/3*i + 11*i**2 - 2 = 0. Calculate i.
-1, 2/7, 3
Let h(g) be the first derivative of -g**6/150 + g**4/60 + 11*g - 15. Let z(x) be the first derivative of h(x). Factor z(o).
-o**2*(o - 1)*(o + 1)/5
Let n(z) be the second derivative of z**6/80 + 3*z**5/40 + z**4/16 - z**3/4 - 9*z**2/16 - 122*z. Factor n(x).
3*(x - 1)*(x + 1)**2*(x + 3)/8
Suppose -14*y + a = -13*y - 3, -y - 2*a = 6. Determine m, given that -4/5*m**4 + y*m + 0*m**3 + 16/5*m**2 + 0 = 0.
-2, 0, 2
Let u(x) = 3*x**5 - 13*x**4 + 2*x**3 + 6*x**2 - 5*x - 1. Let d(k) = -21*k**5 + 90*k**4 - 15*k**3 - 42*k**2 + 36*k + 6. Let f(n) = 4*d(n) + 27*u(n). Factor f(q).
-3*(q - 1)**4*(q + 1)
Let a(k) be the second derivative of -k**5/5 + 4*k**4 - 24*k**3 + 38*k. Find u, given that a(u) = 0.
0, 6
Let u = 678 - 393. Solve -25*x**2 - 135*x**2 - 130 + 40 + 25*x**3 + u*x = 0 for x.
2/5, 3
Let o(u) be the second derivative of -u**4/48 + 2*u**3 + u + 3. Factor o(s).
-s*(s - 48)/4
Let h = 15343 - 15339. Solve 82/7*n**2 - 8/7 - 40/7*n + 176/7*n**h + 514/7*n**3 - 32*n**5 = 0 for n.
-1, -1/4, 2/7, 2
Let p = 155 - 155. Let w be 15/(-25) - (-1)/1. Let -2/5*y**4 - w*y**3 + p + 2/5*y + 2/5*y**2 = 0. Calculate y.
-1, 0, 1
Suppose -47*z + 45 = -32*z. Let b be 3*(2/(-6) + 1). Let -9*w**b - z*w - 2 + 1 + 1 = 0. What is w?
-1/3, 0
Let a = -77/846 - 14/47. Let u = a + 11/18. Factor 0 + 4/9*t - u*t**2.
-2*t*(t - 2)/9
Let i(a) = -a**3 + a**2 - 7*a + 3. Suppose -3*w = 15 - 3. Let f(c) = -c**3 - 6*c + 2. Let v(m) = w*f(m) + 3*i(m). Factor v(z).
(z + 1)**3
Suppose 8*n - 44 + 4 = 0. Factor -66/7*j**3 + 30/7*j**2 - 18/7*j**n - 4/7*j + 58/7*j**4 + 0.
-2*j*(j - 1)**3*(9*j - 2)/7
Let k = -22 - -58. Let w be -3*(-4)/k + (-2)/(-30). Factor -w*h**4 - 1/5*h + 2/5*h**2 + 1/5*h**3 + 0.
-h*(h - 1)*(h + 1)*(2*h - 1)/5
Let -24*x**4 + 22*x + 16/3*x**5 + 139/3*x**2 - 7/3*x**3 + 8/3 = 0. What is x?
-1, -1/4, 2, 4
Let a(t) = -2*t**3 - 5*t**2 - 7*t - 8. Let c be a(-4). Suppose 71*r = c*r + 6. Find p such that -4/5 + 14/5*p - 2/5*p**4 + 2*p**3 - 18/5*p**r = 0.
1, 2
Let t(d) = -d**3 - 9*d**2 - d - 7. Let r be t(-9). Find f such that 6*f**2 - 3*f**r + 328 + 12*f + 0*f**2 - 343 = 0.
-5, 1
Let y be 2/((-29)/148 - 5/(-20)). Suppose -31 = 3*o - y. Suppose 4/3*w + 4/3 + 1/3*w**o = 0. What is w?
-2
Let j = 2444 - 2442. What is d in 2*d**3 + 0 - 2/3*d**4 + 0*d**j - 8/3*d = 0?
-1, 0, 2
Let z(w) be the third derivative of -w**5/120 + 11*w**4/48 - 203*w**2. Factor z(y).
-y*(y - 11)/2
Suppose -15 + 3 = -3*p. Suppose 2*t = -2*g + 6, g - 15 = t - p*t. What is r in 27*r**3 - t*r**4 + 17*r**2 - 15*r**4 - 23*r**2 = 0?
0, 2/7, 1
Let u(r) be the third derivative of r**5/12 - 5*r**4/8 - 10*r**3/3 - 194*r**2. Factor u(z).
5*(z - 4)*(z + 1)
Let u(l) be the second derivative of 2*l**6/45 - l**5/60 - l**4/3 - 5*l**3/18 + l**2/3 + l + 33. Factor u(h).
(h - 2)*(h + 1)**2*(4*h - 1)/3