4*p. Let r(l) be the third derivative of d(l). Factor r(o).
2*o*(o + 2)/5
Suppose 9*t - 6*t = 12. Let 4*x**t - 6*x**2 + 9*x**4 - 2*x - 6*x**3 - 15*x**4 = 0. What is x?
-1, 0
Let j be ((-2)/(-3))/((-29 - -39) + -8). Factor -5/3*g**3 + 4/3*g**4 + 5/3*g - j - g**2.
(g - 1)**2*(g + 1)*(4*g - 1)/3
Let u(j) be the third derivative of -j**8/840 + j**7/105 - 2*j**6/75 + 2*j**5/75 - 47*j**2 - 2. Factor u(k).
-2*k**2*(k - 2)**2*(k - 1)/5
Let g(r) be the third derivative of -r**7/126 - r**6/36 + r**5/36 + 5*r**4/36 + 99*r**2. Solve g(m) = 0.
-2, -1, 0, 1
Let g be (-10)/15*-3*1. Factor -4*q**2 - 19*q + 5 - 18*q**g + 18*q**2.
-(q + 5)*(4*q - 1)
Let b(s) = -5*s - 65. Let o(m) = -2*m - 5. Let l be o(4). Let i be b(l). Find v such that 4/5 + 8/5*v + i*v**2 - 4/5*v**4 - 8/5*v**3 = 0.
-1, 1
Let f(y) be the third derivative of y**6/240 - y**5/60 - y**4/48 + y**3/6 + 201*y**2 + 2. Factor f(l).
(l - 2)*(l - 1)*(l + 1)/2
Let h(s) = s**3 - 10*s**2 + 8*s + 11. Let x be h(9). Factor -20*i + 0*i**2 - 5*i**x + 9*i**2 + 16 + 0.
4*(i - 4)*(i - 1)
Let f(j) = 2*j**2 + 52*j - 48. Let b(a) = -6*a**2 - 106*a + 97. Let s(m) = 4*b(m) + 10*f(m). Factor s(h).
-4*(h - 23)*(h - 1)
Factor -171*h - 7*h**3 - 3 + 0 - h**2 + 5*h**4 + 179*h - h**5 - 1.
-(h - 2)**2*(h - 1)**2*(h + 1)
Let j = 61 - 64. Let n = 5 + j. Factor 0*u**3 + 2/15*u**5 - 2/5*u**4 + 0*u**n + 0 + 0*u.
2*u**4*(u - 3)/15
Let h(g) be the third derivative of -5/24*g**4 + 7/60*g**5 + 0 + 1/6*g**3 - 1/40*g**6 + 0*g + 5*g**2. Solve h(o) = 0.
1/3, 1
Let w be 5 + (-836)/24 + (-2)/3. Let r = w + 31. Solve -r*n + 1/3 + 1/6*n**2 = 0.
1, 2
Let z(j) be the first derivative of -2*j**5/5 + 6*j**4 - 24*j**3 - 39. Factor z(l).
-2*l**2*(l - 6)**2
Suppose -12 = 4*z + 3*x, -z + 3*x - 1 + 13 = 0. Let w(v) be the first derivative of 1/6*v**4 - 3 + z*v**2 + 0*v + 1/15*v**5 + 1/9*v**3. Factor w(t).
t**2*(t + 1)**2/3
Let n be (-81)/360 + 4/16. Let h(r) be the second derivative of 6*r + 0*r**5 + 0*r**2 + 0 + 1/16*r**4 - n*r**6 + 0*r**3. Factor h(m).
-3*m**2*(m - 1)*(m + 1)/4
Let x(u) be the first derivative of -4 - 2/13*u + 0*u**2 + 2/39*u**3. Suppose x(a) = 0. What is a?
-1, 1
Let n(y) be the third derivative of y**7/7560 - y**6/720 + y**4/2 - 16*y**2. Let b(w) be the second derivative of n(w). Suppose b(u) = 0. What is u?
0, 3
Let h(n) = -161*n - 3056. Let w be h(-19). Factor 4/5*y**w - 12/5*y**2 + 12/5*y - 4/5.
4*(y - 1)**3/5
Let h(z) be the third derivative of z**5/210 + 127*z**4/84 + 6*z**3 + 5*z**2 + 14. Determine v so that h(v) = 0.
-126, -1
Suppose d = 3*a - 2, -4 = 8*a - 298*d + 294*d. Factor 2/9*i**2 + 1/9*i**5 - 4/9*i**a + 1/3*i + 0 - 2/9*i**4.
i*(i - 3)*(i - 1)*(i + 1)**2/9
Let p(s) be the third derivative of 0 + 0*s + 0*s**3 - 1/60*s**6 - 1/15*s**5 - 1/12*s**4 + 4*s**2. Let p(c) = 0. What is c?
-1, 0
Let u(h) = h**4 - h**3 - h - 1. Let v(q) = 6*q**4 + 6 + 5*q**3 - 15 + q**3 - 21*q**2. Let d(t) = -9*u(t) + v(t). Factor d(n).
-3*n*(n - 3)*(n - 1)**2
Suppose -32/9 + 416/9*s**3 - 592/9*s**2 - 10*s**4 + 256/9*s = 0. Calculate s.
2/9, 2/5, 2
Suppose z = -2*p + 8, p + 0*z - 9 = -3*z. Suppose f**4 - 1/6*f**5 - 4/3 + 2*f - 11/6*f**p + 1/3*f**2 = 0. What is f?
-1, 1, 2
Let d(h) be the second derivative of -8/15*h**3 - 4*h - 8/5*h**2 + 0 - 1/15*h**4. Factor d(g).
-4*(g + 2)**2/5
Let u(t) be the second derivative of t**5/5 + 5*t**4 - 2*t**3/3 - 30*t**2 + 16*t + 18. Factor u(x).
4*(x - 1)*(x + 1)*(x + 15)
Factor 3/4*u - 1/4*u**2 + 5/2.
-(u - 5)*(u + 2)/4
Let i = -132 - -144. Suppose 3*o + 6 - i = 0. Find q such that 0 + 1/4*q**3 + 0*q**o - 1/4*q = 0.
-1, 0, 1
Factor -8*y**2 - 18*y + 16*y + 4*y**3 - 10*y.
4*y*(y - 3)*(y + 1)
Let q be 2 + 0 + (4 - (-11)/(-2)). Let w(b) = b**3 - 13*b**2 - 15*b + 18. Let d be w(14). Factor 1/6*k**d + 0 + 1/2*k**2 + q*k**3 + 1/6*k.
k*(k + 1)**3/6
Let c(i) be the first derivative of 1/30*i**6 + 0*i - 3/5*i**2 + 1/4*i**4 + 7/25*i**5 + 18 - 7/15*i**3. Factor c(q).
q*(q - 1)*(q + 1)**2*(q + 6)/5
Let t(u) be the third derivative of u**5/270 - u**3/27 + 70*u**2 + 2*u. Let t(g) = 0. Calculate g.
-1, 1
Let n(x) be the third derivative of -x**6/160 - 3*x**5/80 + x**4/32 + 3*x**3/8 - 2*x**2 - 35*x. Solve n(g) = 0.
-3, -1, 1
Let k(g) be the second derivative of -g**8/20160 - g**7/7560 + g**6/2160 + g**5/360 + g**4/2 - 7*g. Let i(b) be the third derivative of k(b). Factor i(m).
-(m - 1)*(m + 1)**2/3
Let t(a) be the first derivative of 9/2*a**2 + 18 - 3/4*a**4 + 0*a - 2*a**3. Solve t(d) = 0 for d.
-3, 0, 1
Let a(s) = -s - 4. Suppose -5*z = -463 + 493. Let i be a(z). Factor 2/13*m**3 - 16/13 - 12/13*m**i + 24/13*m.
2*(m - 2)**3/13
Suppose 0 = -5*f + 9*f - 16. Factor -1 + 6*z**2 - 16*z**4 - 15*z**3 + 1 + 25*z**f.
3*z**2*(z - 1)*(3*z - 2)
Suppose 2/7*i**3 - 44/7*i**2 + 40*i - 400/7 = 0. What is i?
2, 10
Factor -3/4*f**2 + f - 1/2*f**3 + 1/4*f**4 + 1.
(f - 2)**2*(f + 1)**2/4
Let d(j) = -j**3 - 6*j**2 - 4*j + 9. Suppose -3*s - 35 = 3*q + 2*s, 5*s = -20. Let g be d(q). Determine t so that 2*t - 3*t**2 - t**g + 3*t**4 - 4*t - t**4 = 0.
-1, 0, 2
Determine n, given that 6*n**3 + 14*n**5 + 254*n**2 - 16*n**5 - 258*n**2 + 3*n**4 - 3*n**4 = 0.
-2, 0, 1
Let s be (-2)/(-48) + (-4)/(-32). Solve 1/6*a**4 + 0*a - 1/3*a**2 + 0 + s*a**3 = 0 for a.
-2, 0, 1
Let y(a) be the third derivative of -7/6*a**3 + 0*a**4 + 0*a**5 + 0*a + 0 - 1/180*a**6 + 8*a**2. Let l(c) be the first derivative of y(c). Factor l(n).
-2*n**2
Suppose 2*d + 5 = 3*a, -5*a + 33 - 3 = d. Let t(i) be the first derivative of 0*i**2 - i**4 - 2 + 2/5*i**a + 0*i**3 + 0*i + i**6. Factor t(p).
2*p**3*(p + 1)*(3*p - 2)
Let n(r) be the second derivative of 3/10*r**5 + 1/3*r**4 + 0*r**2 + 0 - 13*r - 1/3*r**3. Factor n(w).
2*w*(w + 1)*(3*w - 1)
Factor 11/4 + 3*o + 1/4*o**2.
(o + 1)*(o + 11)/4
Let x = -163/14 + 99/7. Let j = -79 - -79. Suppose 0 - m**2 + j*m + x*m**3 = 0. Calculate m.
0, 2/5
Let s(c) be the first derivative of c**3/3 + 2*c**2 - 5*c + 54. Factor s(n).
(n - 1)*(n + 5)
Let j(x) be the third derivative of 0*x - 1/420*x**5 - 15*x**2 + 0 + 1/840*x**6 + 0*x**4 + 0*x**3. Factor j(t).
t**2*(t - 1)/7
Suppose 8/5*j**2 - 4/5*j**4 + 0 - 4/5*j**3 + 0*j = 0. What is j?
-2, 0, 1
Let l be 102/30 - (-4)/(-10). Let v be 3/2*6/l. Factor -f - 3*f + 4*f - 3*f**3 + v*f**2.
-3*f**2*(f - 1)
Suppose 0 = 2*q + 3*t + 6 + 9, 3*t + 15 = -3*q. Let m = q - 0. Let 1 - o + m*o**2 - o**2 + 1 = 0. What is o?
-2, 1
Let z = -155 + 160. Let a(k) be the first derivative of 2/5*k**z - 2*k**2 + 0*k + 1/3*k**6 - 2 - 10/3*k**3 - 3/2*k**4. Factor a(l).
2*l*(l - 2)*(l + 1)**3
Let u(f) be the third derivative of 0*f - 54*f**2 + 4/39*f**3 - 1/780*f**6 - 1/130*f**5 + 0*f**4 + 0. Factor u(z).
-2*(z - 1)*(z + 2)**2/13
Let q(n) be the second derivative of 0 - 1/70*n**5 + 1/21*n**3 - 1/105*n**6 + 0*n**2 + 1/42*n**4 - 8*n. Factor q(i).
-2*i*(i - 1)*(i + 1)**2/7
Let x(s) be the third derivative of -s**7/1155 - 7*s**6/330 - 13*s**5/330 - 103*s**2 - 3*s. Factor x(k).
-2*k**2*(k + 1)*(k + 13)/11
Factor -6*o - o**2 - 6*o + 7 - 37 - 5*o.
-(o + 2)*(o + 15)
Let s(r) = -22*r**2 + 45*r - 2. Let z be s(2). Factor -2/5*f**2 + z - 2/5*f.
-2*f*(f + 1)/5
Let n be -1*4 - (258/(-66) + 3). Let y = -126/55 - n. Factor 0 + 0*c + 0*c**2 - y*c**4 + 2/5*c**5 + 2/5*c**3.
2*c**3*(c - 1)**2/5
Let b(k) = k**2 - 38*k + 2. Let h be b(0). What is t in 5/3*t**h + 8/3*t + 4/3 + 1/3*t**3 = 0?
-2, -1
Factor -68/5*j - 21/5*j**3 - 72/5*j**2 + 0 - 1/5*j**4.
-j*(j + 2)**2*(j + 17)/5
Suppose -60*z**4 + 3 - 22*z + 27*z**2 + 63*z**4 + z - 18*z**3 + 3*z**3 + 3 = 0. Calculate z.
1, 2
Factor 0*a - 2/3*a**3 + 0 - 1/3*a**4 + a**2.
-a**2*(a - 1)*(a + 3)/3
Suppose -4*h - 2*d - 8 = -6*d, -2*h - 5*d = -10. Suppose h = -3*t + 3 + 6. What is p in 0*p - 11*p**3 - 6*p - 4*p**t - 21*p**2 = 0?
-1, -2/5, 0
Let o = 23 + -32. Let h be 33/45 - (-3)/o. What is c in 1/5*c**3 - h*c**2 + 0 + 1/5*c = 0?
0, 1
Factor 0 - 8/3*s**2 - 4/3*s - s**3.
-s*(s + 2)*(3*s + 2)/3
Suppose -3*y = -4*y + 3, 34 = -2*v + 4*y. Let f(m) = -m**3 - 10*m**2 + 11*m + 3. Let s be f(v). Factor -4 + 2*d + 7 - 5*d - 3*d**2 + 3*d**s.
3*(d - 1)**2*(d + 1)
Let m(b) be the second derivative of 17*b + 1/3*b**4 - 4*b**2 - 2/3*b**3 + 0. Factor m(l).
4*(l - 2)*(l + 1)
Let n(z) be the second derivative of -2/5*z**3 + 0 + 3*z - 13/60*z**4 - 1/150*z**6 - 2/5*z**2 - 3/50*z**5. Factor n(m).
-(m + 1)**2*(m + 2)**2/5
Let g(o) be the