/3 - 29*c**5 - 150*c**4 - 360*c**3 - 432*c**2 - 2*c - 43. Factor f(n).
-4*(n + 1)**2*(n + 6)**3
Let m(f) be the third derivative of f**6/2 - 61*f**5/12 - 335*f**4/24 + 5*f**3 - 16*f**2 + 8*f. Suppose m(c) = 0. Calculate c.
-1, 1/12, 6
Let f(l) be the third derivative of -1/15*l**5 - 16/3*l**3 + l**4 + 0*l + 0 - 4*l**2. Factor f(y).
-4*(y - 4)*(y - 2)
Let c(f) be the first derivative of f**4/2 - 8*f**3/3 - 5*f**2 - 47. Suppose c(z) = 0. Calculate z.
-1, 0, 5
Let h(x) be the first derivative of x**6/360 + x**5/60 + x**4/24 + x**3/3 - 22. Let f(a) be the third derivative of h(a). Determine j so that f(j) = 0.
-1
Let a(n) be the second derivative of 2*n**4/21 - 29*n**3/7 - 22*n**2/7 - 625*n. Factor a(f).
2*(f - 22)*(4*f + 1)/7
Let v(n) = -7*n**3 - 10*n**2 + 101*n + 306. Let a(s) = -15*s**3 - 22*s**2 + 203*s + 613. Let r(i) = 6*a(i) - 13*v(i). Solve r(k) = 0.
-5, 12
Let k(l) be the second derivative of 1/720*l**6 + 0*l**4 + 0*l**5 + 0*l**2 - 7/6*l**3 + 7*l + 0. Let a(f) be the second derivative of k(f). Factor a(v).
v**2/2
Let s(q) be the second derivative of q**6/10 - 3*q**5/4 + 7*q**4/4 - 3*q**3/2 - 614*q. Let s(x) = 0. Calculate x.
0, 1, 3
Suppose 3 = -t + 6. Let f = t + -1. Factor 10*n**2 - 3*n**f + 3 - 24*n + 3*n**2 + 5.
2*(n - 2)*(5*n - 2)
Suppose 7*z + 369 = 397. Let v(a) be the second derivative of 11*a + 0 + 5*a**2 + 5/2*a**3 + 5/12*a**z. Solve v(j) = 0.
-2, -1
Let f = 444 - 787/2. Let g = f - 50. Determine h, given that g*h**4 + 0*h**2 - h**3 + h - 1/2 = 0.
-1, 1
Factor 12321/5 + 1/5*s**2 + 222/5*s.
(s + 111)**2/5
Factor -1/10*l - 3/10*l**2 - 3/10*l**3 + 0 - 1/10*l**4.
-l*(l + 1)**3/10
Let b(f) = 8*f**4 + 115*f**3 + 106*f**2 - 217*f + 3. Let k(r) = -105*r**4 - 1495*r**3 - 1380*r**2 + 2820*r - 40. Let u(l) = -40*b(l) - 3*k(l). Factor u(i).
-5*i*(i - 1)*(i + 2)*(i + 22)
Let a(h) be the third derivative of -h**6/120 - h**5/12 - 5*h**4/24 - h**3/3 + 3*h**2. Let q be a(-4). Factor 2*r**2 + q*r**2 + 31*r + 16 - 51*r.
4*(r - 4)*(r - 1)
Let o(v) be the first derivative of v**7/84 - v**5/40 - 7*v - 3. Let k(q) be the first derivative of o(q). Determine f so that k(f) = 0.
-1, 0, 1
Let y(i) be the third derivative of i**6/30 + 16*i**5/15 - 356*i**2 + i. Determine g, given that y(g) = 0.
-16, 0
Let r = 212335/20222 - 2/10111. What is b in -15/2*b**2 - 3/2*b**4 + 9 - 21/2*b + r*b**3 = 0?
-1, 1, 6
Let d(o) be the second derivative of -o**6/180 - 2*o**5/45 - 5*o**4/36 - 2*o**3/9 + o**2 - 15*o. Let k(j) be the first derivative of d(j). Factor k(p).
-2*(p + 1)**2*(p + 2)/3
Let g(z) be the third derivative of -z**6/30 - 2*z**5/5 - 11*z**4/6 - 4*z**3 - 16*z**2 + 5*z. Suppose g(l) = 0. What is l?
-3, -2, -1
Let o(q) be the first derivative of -3/4*q + 31/16*q**2 - 32 - 7/16*q**4 - 31/24*q**3. Factor o(b).
-(b + 3)*(2*b - 1)*(7*b - 2)/8
Let r(m) = m**2 + m + 1. Let a(u) be the second derivative of 0*u**3 + 0 - 1/12*u**4 - 3*u - 1/2*u**2. Let k(l) = 3*a(l) + 6*r(l). Factor k(i).
3*(i + 1)**2
Let i(p) be the second derivative of p**6/15 + p**5/10 - 19*p**4/6 + 11*p**3/3 + 30*p**2 + 817*p. Suppose i(k) = 0. Calculate k.
-5, -1, 2, 3
Let f(b) = 4*b**3 + 21*b**2 + 7*b. Let m(n) = -6*n**3 - 32*n**2 - 10*n. Let c be (-78)/(-15) + 5/(-25). Let q(t) = c*m(t) + 8*f(t). Factor q(v).
2*v*(v + 1)*(v + 3)
Let a(c) be the third derivative of 14*c**2 - 16/3*c**3 + 0*c - 1/15*c**5 + c**4 + 0. Factor a(g).
-4*(g - 4)*(g - 2)
Let a(o) be the second derivative of -30*o + 0*o**2 + 14/5*o**5 - 20/3*o**4 + 0 - 2/5*o**6 + 16/3*o**3. Factor a(w).
-4*w*(w - 2)**2*(3*w - 2)
Let x = -56 + 59. Factor -7*n**2 + 12*n - 22*n**3 - 8*n**2 - 3 + 28*n**x.
3*(n - 1)**2*(2*n - 1)
Suppose 5/4*o**3 - 2/3*o**4 + 0 + 2/3*o**2 - 4/3*o**5 + 1/12*o = 0. What is o?
-1, -1/4, 0, 1
Let r(a) = 2*a**3 - 4*a**2 - a + 4. Let h be r(2). Factor 5*l**2 + 12*l - 5 - 3*l**h - 3 - 6*l**2.
-4*(l - 2)*(l - 1)
Let y be (-81)/(-63)*(-3)/6*140/(-24). What is p in -5/2*p + y*p**2 - 5/4 = 0?
-1/3, 1
Let t(a) = -4*a**3 - 7*a**2 + 5*a + 5. Let w = 56 + -36. Let c(n) = n**3 + n**2 - n - 1. Let i(f) = w*c(f) + 4*t(f). Factor i(x).
4*x**2*(x - 2)
Suppose -136*h = -130*h - 30. Let q(x) be the second derivative of 0*x**2 - 7/90*x**h + 5/54*x**4 + 0 + 2/27*x**3 - 3*x. Factor q(v).
-2*v*(v - 1)*(7*v + 2)/9
Let f(q) = -5*q**4 + 10*q**3 + 10*q**2 - 6. Let r(x) = -x**4 + x**3 + x**2 - 1. Let v = 18 + -24. Let d(j) = v*r(j) + f(j). Factor d(k).
k**2*(k + 2)**2
Let s = 613 + -14711/24. Let t(z) be the second derivative of 0*z**2 - z + 0 + 3/40*z**5 + 0*z**3 + s*z**4 + 1/20*z**6 + 1/84*z**7. Factor t(l).
l**2*(l + 1)**3/2
What is s in 106/7*s**3 - 6/7*s**4 - 446/7*s**2 + 324/7 - 234/7*s = 0?
-1, 2/3, 9
Let w(q) = -2*q**3 - q**2 + q + 2. Let o(t) = 11*t**3 - 8*t**2 - 37*t - 26. Let z(c) = -o(c) - 4*w(c). Factor z(x).
-3*(x - 6)*(x + 1)**2
Factor -5*b - 36 - 14*b**2 + 173*b + 3*b**2 - 41*b**2.
-4*(b - 3)*(13*b - 3)
Let k = -98/17 - -409/68. Find d such that 1/2*d**2 + 0 + 1/4*d + k*d**3 = 0.
-1, 0
Let n(q) = -q**3 - 46*q**2 - 205*q + 4. Let d be n(-41). Let k(b) be the first derivative of 11 + 5/4*b**d - 5*b**3 + 15/2*b**2 - 5*b. Factor k(a).
5*(a - 1)**3
Let w be ((-1)/3)/((-17)/204). Factor -18*v**3 + 2 + 4*v**3 + 4*v**w + 7*v**3 - 11*v - 9*v**3 + 21*v**2.
(v - 2)*(v - 1)*(2*v - 1)**2
Let x(s) be the second derivative of -s**8/168 + s**7/105 + s**6/60 - s**5/30 + s**2/2 + 13*s. Let j(z) be the first derivative of x(z). What is y in j(y) = 0?
-1, 0, 1
Let h(k) be the third derivative of k**6/15 + k**5/3 - 2*k**4/3 - 2*k**3 - 45*k**2 - 2. Factor h(f).
4*(f - 1)*(f + 3)*(2*f + 1)
Suppose -41*p = -46*p + 10. Suppose -12*t**3 + 6*t - 3/2 + 6*t**5 - 3/2*t**4 + 3*t**p = 0. Calculate t.
-1, 1/4, 1
Suppose -a = -2 - 3. Solve -4*k**a - 13*k - 5*k + 18*k + 12*k**4 - 8*k**3 = 0.
0, 1, 2
Let z(y) = -3*y**2 + 7. Let k(i) = 3*i**2 - 8. Let q(v) = -4*k(v) - 5*z(v). Let q(r) = 0. What is r?
-1, 1
What is m in 5*m**4 - 16*m**2 + 51*m**2 - 10*m**4 + 11*m + 19*m = 0?
-2, -1, 0, 3
Let d be (4*5/(-70))/((-15)/21). Let f be -1 - 7*3/(-15). Find p, given that -f*p**2 - d*p + 2/5*p**4 + 0 + 2/5*p**3 = 0.
-1, 0, 1
Suppose 5*f - 3*f - 2*a = 112, -3*f + 167 = -4*a. Factor -3*c**3 - c**2 - 57 + f.
-c**2*(3*c + 1)
Let b(v) be the first derivative of -v**8/6720 + v**6/1440 + 2*v**3 + 1. Let w(n) be the third derivative of b(n). Let w(i) = 0. Calculate i.
-1, 0, 1
Let h be -9 + ((-909)/(-81) - 2). Let m(o) be the first derivative of -o**2 + h*o**3 + 4/3*o + 9. Factor m(x).
2*(x - 2)*(x - 1)/3
Factor 28*j**2 + 9*j**4 + 22*j**4 + 7*j**2 - 44*j**3 - 15*j**2 - 4*j**5 - 3*j**4.
-4*j**2*(j - 5)*(j - 1)**2
Let m be (11 + -1)*((-21)/(-2))/7. Let s be 2/8*48/m. Find t, given that -2/5*t**3 - 2*t - s - 8/5*t**2 = 0.
-2, -1
Let k = -25 - -29. Suppose -14 = k*u - 22. Factor 12*w**2 - 4*w - 3*w - w - u*w**3 - 16*w + 16.
-2*(w - 2)**3
Let r(f) = -f**3 - 2*f**2 + f - 6. Let g be r(-4). Factor 80 - 2*o**5 - 159*o + 208*o**2 + g*o**4 - 55*o - 10*o + 16 - 96*o**3.
-2*(o - 3)*(o - 2)**4
Suppose -16*x + 11*x - 40 = 0. Let m be -1 + -6*4/x. Solve -7*b**2 + 3*b**3 - 3*b**4 + 4*b**m + 3*b**3 + 0*b**3 = 0 for b.
0, 1
Let l be 423/45 + 1 - 10. Let 0 + l*h - 1/5*h**2 - 1/5*h**3 = 0. What is h?
-2, 0, 1
Factor 240659*j - 3*j**4 - 240605*j + 1 + 24*j**3 - 63*j**2 - 1.
-3*j*(j - 3)**2*(j - 2)
Let l(c) be the first derivative of 32*c**6/15 + 16*c**5/25 - 39*c**4/20 + 3*c**3/5 + 458. Let l(i) = 0. What is i?
-1, 0, 3/8
Determine q, given that q**2 + 27 + 2*q**2 + 3055*q - 3037*q = 0.
-3
Let i(c) be the third derivative of -c**6/540 + 16*c**5/135 + 11*c**4/36 + 103*c**2. Solve i(k) = 0 for k.
-1, 0, 33
Let g(o) be the first derivative of -5*o**3/9 + 7*o**2/6 - 2*o/3 - 14. Factor g(q).
-(q - 1)*(5*q - 2)/3
Let k be (-1*1)/(14/(-28)). Suppose -33*w**2 - 21*w + 11*w**2 + 9*w**2 + 4*w**k - 12 = 0. What is w?
-4/3, -1
Let f(u) be the third derivative of -5/36*u**4 - 1/9*u**5 - 3*u**2 - 1/63*u**7 - 1/504*u**8 + 0*u - 1/9*u**3 + 0 - 1/18*u**6. Factor f(s).
-2*(s + 1)**5/3
Find d such that 26*d**2 - 28*d**2 + 6*d - 12 + 22*d**2 - 14*d = 0.
-3/5, 1
Find c such that 2/15*c**4 - 4/15*c**5 + 14/15*c**3 - 2/15*c - 14/15*c**2 + 4/15 = 0.
-2, -1/2, 1
Let n(x) be the first derivative of x**7/2520 + x**6/270 - 7*x**3 + 27. Let j(m) be the third derivative of n(m). Factor j(z).
z**2*(z + 4)/3
Let f(g) be the fir