 of t**6/180 + t**5/60 - t**4/72 - t**3/18 + 18*t. Factor n(j).
j*(j - 1)*(j + 1)*(j + 2)/6
Let z(t) be the first derivative of -t**5/25 - 3*t**4/20 - t**3/15 + 3*t**2/10 + 2*t/5 + 12. Suppose z(g) = 0. Calculate g.
-2, -1, 1
Suppose 0 = -n + 5*w + 10, 5*w - 2 + 12 = 0. Find a such that 0*a + 2/7*a**2 + n + 2/7*a**3 = 0.
-1, 0
Let -18 - 8*o**3 - 21*o + 16*o**3 - 5*o**3 = 0. Calculate o.
-2, -1, 3
Let m be ((-6)/(-5))/((-12)/(-20)). Find a, given that 0 + 4/3*a**4 + 2/3*a**m + 1/3*a**5 + 5/3*a**3 + 0*a = 0.
-2, -1, 0
Let c = 199/3 - 65. Suppose -2*x + 13 - 9 = 0. Let -10/3*t**3 - 4/3 + c*t**x + 10/3*t = 0. Calculate t.
-1, 2/5, 1
Suppose -5*k - 7 = -2. Let i be 1/k*(4 + -4). Factor 1/3*z**5 + 1/3*z + 4/3*z**4 + 2*z**3 + i + 4/3*z**2.
z*(z + 1)**4/3
Let c(x) be the third derivative of 0*x**4 - 5*x**2 + 0*x**3 + 0 - 1/30*x**6 + 0*x + 0*x**5 + 2/105*x**7. Determine y so that c(y) = 0.
0, 1
Let m be -1 + 90/210 + (-6)/(-7). Solve -m*l**3 + 0*l - 2/7*l**2 + 0 = 0 for l.
-1, 0
Let l(k) = -2*k**4 - 2*k + 2. Let g(c) = c**5 + 10*c**4 - c**3 + c**2 + 11*c - 11. Let a(z) = -4*g(z) - 22*l(z). Factor a(v).
-4*v**2*(v - 1)**2*(v + 1)
Let z(d) be the second derivative of d**7/336 + d**6/24 + d**5/10 - d**4/48 - 17*d**3/48 - d**2/2 - 41*d. Determine o so that z(o) = 0.
-8, -1, 1
Let c be ((-27)/90)/(18/(-5)). Let t(w) be the third derivative of 1/90*w**5 + 1/315*w**7 + 0 + w**2 + 1/60*w**6 - c*w**4 - 2/9*w**3 + 0*w. Factor t(o).
2*(o - 1)*(o + 1)**2*(o + 2)/3
Let c = -16 - -22. Factor c*v**4 - 4*v**4 + 10*v**3 + 8*v + 0*v**4 + 16*v**2.
2*v*(v + 1)*(v + 2)**2
Let t(f) be the second derivative of 0 + 1/9*f**3 + 1/6*f**2 + 1/36*f**4 - 2*f. Solve t(a) = 0 for a.
-1
Factor -7*u**2 + u**3 + u**2 + 4*u + 5*u.
u*(u - 3)**2
Let m(u) = 15*u**2 + 3*u + 11. Let h(j) = -19*j**2 + 4*j - 9. Let q(c) = 6*c**2 - c + 3. Let w(x) = -4*h(x) - 14*q(x). Let o(l) = 6*m(l) + 11*w(l). Factor o(s).
2*s*(s - 2)
Suppose 0*f = -3*f + 9. Let m be (f - 0) + (-15)/9. Let 4/3*d + 0 + 1/3*d**3 - m*d**2 = 0. What is d?
0, 2
Let b = -1/2 + 1. Let y(z) be the second derivative of z + 0 + b*z**2 + 1/3*z**4 + 5/6*z**3. Factor y(i).
(i + 1)*(4*i + 1)
Let k(z) be the third derivative of z**7/2520 - z**4/3 + 9*z**2. Let h(s) be the second derivative of k(s). Determine d, given that h(d) = 0.
0
Factor 1/3*g + 1/6 + 1/6*g**2.
(g + 1)**2/6
Factor 454*w - 12*w**3 - 454*w - 8*w**2 + 4*w**5.
4*w**2*(w - 2)*(w + 1)**2
Let y = -367/14 - -194/7. Let j = 39/28 - 8/7. Factor 1/4*s**4 + y*s**2 - s**3 + j - s.
(s - 1)**4/4
Let k(y) be the second derivative of y**7/10080 - y**6/2880 - y**5/240 + y**4/6 - 3*y. Let q(f) be the third derivative of k(f). Suppose q(d) = 0. What is d?
-1, 2
Let b = 12 + -8. Let d(t) = -t**2 - 4*t + 2. Let m be d(-4). Factor -2*q**3 + 4*q**2 + 4*q**3 + 4 + 10*q + b*q**m.
2*(q + 1)**2*(q + 2)
Let k(q) be the third derivative of -1/600*q**6 + 1/30*q**3 + 0 + 1/120*q**4 - 1/300*q**5 + 0*q + 4*q**2. What is d in k(d) = 0?
-1, 1
Factor -2/5*c + 0 - 2/5*c**4 + 2/5*c**2 + 2/5*c**3.
-2*c*(c - 1)**2*(c + 1)/5
Let n(f) = 4 - 2 + 8 - f. Let g be n(8). Solve 2*a + 0*a**5 + g*a**3 - 6*a**3 + 2*a**5 = 0 for a.
-1, 0, 1
Let c be ((-54)/(-42))/((-4)/(-28)). What is u in -21/5*u**2 - c*u - 3/5*u**3 - 27/5 = 0?
-3, -1
Let x(y) be the second derivative of 0 + 5*y + 1/4*y**4 + 3/20*y**5 - 3/2*y**2 - 1/2*y**3. Solve x(d) = 0.
-1, 1
Let g(u) be the first derivative of -u**4 + 8*u**3/3 + 1. Factor g(l).
-4*l**2*(l - 2)
Let w(p) be the first derivative of -1 - 8*p**3 + 9*p**3 - p + 4*p**2 - 3*p**2. Factor w(f).
(f + 1)*(3*f - 1)
Suppose -s + m + 5 = 0, 0*s = s + 5*m - 29. Let t(k) = -3*k**2 + 63*k - 99. Let d(u) = -u**2 + 16*u - 25. Let i(g) = s*d(g) - 2*t(g). Factor i(x).
-3*(x - 3)**2
Let y(t) be the third derivative of -1/525*t**7 + 0*t - 1/20*t**4 - t**2 + 2/15*t**3 - 1/150*t**5 + 0 + 1/100*t**6. What is g in y(g) = 0?
-1, 1, 2
Let x(h) = 8*h**2 - 20*h - 27. Let u(l) = -11*l**2 + 30*l + 41. Let b(m) = -5*u(m) - 7*x(m). Factor b(j).
-(j + 2)*(j + 8)
Suppose -i - 15 = -3*t, -5*i + 0*t = -t + 5. Factor q**2 + 4*q + q**2 - 4*q**2 - 2 + i*q.
-2*(q - 1)**2
Let j(m) be the second derivative of m**6/30 - m**4/6 + m**2/2 - 15*m. Suppose j(d) = 0. Calculate d.
-1, 1
Suppose 0 = -m + 4*m - 15. Factor -m*s + 2 - s - s**2 + 5*s.
-(s - 1)*(s + 2)
Factor 8*j - 3*j + 0*j**2 - j**3 - 6*j - 2*j**2.
-j*(j + 1)**2
Suppose -4*l - 12 = 4*r, -17 - 12 = -2*r + 5*l. Suppose -3*g + 19 = -2*o, 3*o - 4 = r*g - 25. Factor 3*f**5 - 6*f**3 + 0 + 3*f**g + 0.
3*f**3*(f - 1)*(f + 1)
Let h(k) = k**3. Let p(n) = 10*n**3 + 12*n**2 + 3*n - 2. Let d(y) = 12*h(y) - 4*p(y). Determine a, given that d(a) = 0.
-1, 2/7
Let n = 457/4 + -114. Factor 1/4*m**2 + n*m + 0.
m*(m + 1)/4
Let c(h) be the second derivative of 3*h**5/80 + h**4/48 - h**3/12 + 14*h. Factor c(t).
t*(t + 1)*(3*t - 2)/4
Let x(b) be the first derivative of -16/7*b**3 - 32/7*b**2 - 4/7*b**4 - 32/7*b - 2 - 2/35*b**5. Solve x(h) = 0 for h.
-2
Let u(q) be the first derivative of -7*q**6/40 + q**5/10 + 7*q**4/8 - q**3 + q**2/2 - 3. Let f(t) be the second derivative of u(t). Suppose f(w) = 0. What is w?
-1, 2/7, 1
Let l(o) be the third derivative of -2*o**7/315 - o**6/90 + 19*o**5/180 - 7*o**4/36 + o**3/6 + 8*o**2. Determine r, given that l(r) = 0.
-3, 1/2, 1
Let v(w) be the first derivative of -w**5/480 + 3*w**2/2 + 5. Let i(u) be the second derivative of v(u). Factor i(p).
-p**2/8
Let i be 1/(8/(12/3) - 0). Factor 0 - 1/4*b**3 - 3/4*b**2 - i*b.
-b*(b + 1)*(b + 2)/4
Let m be (-2)/((-18)/(-3))*-27. Suppose z - 5*z = -12, s + 2*z - m = 0. What is o in -2*o - 4*o**3 + 0 + s*o**2 + o**2 + 4*o - 2 - 2*o**4 + 2*o**5 = 0?
-1, 1
Factor -18/5*s + 21/5*s**2 + 0 - 3/5*s**3.
-3*s*(s - 6)*(s - 1)/5
Let a(y) be the third derivative of y**7/1155 - y**6/220 + y**5/110 - y**4/132 + 18*y**2. Solve a(f) = 0.
0, 1
Let i(z) be the first derivative of 2*z**3/9 + 8*z**2 + 96*z + 5. Solve i(y) = 0 for y.
-12
Let u(d) be the third derivative of 0*d**3 + 0*d + 1/30*d**5 + 0*d**6 - 7*d**2 + 1/18*d**4 - 1/315*d**7 + 0. Factor u(z).
-2*z*(z - 2)*(z + 1)**2/3
Let n = 131/15 - 37/5. Let -1/3 - 1/3*h**4 + n*h**3 + 4/3*h - 2*h**2 = 0. What is h?
1
Suppose -4 = -3*d + 4*a + 4, 13 = 2*d + 5*a. Let -2*s**4 - 3*s**2 + 2*s**3 + 3*s**2 + s**2 + 3*s**d = 0. Calculate s.
-1, 0
Let m(g) be the first derivative of -1/7*g**2 - 2 + 1/21*g**6 + 0*g + 0*g**4 - 4/21*g**3 + 4/35*g**5. Determine d, given that m(d) = 0.
-1, 0, 1
Let d be 3/(-1) + (-58)/(-24). Let p = d - -5/6. Factor 1/2*j + 1/4*j**2 + p.
(j + 1)**2/4
Let w(o) = o + 2. Suppose 5*q - 4*a - 4 = 0, -q + 3 = -2*a + 1. Let z be w(q). Factor 0 + 1/2*h**3 + 1/2*h**z - h**4 + 0*h.
-h**2*(h - 1)*(2*h + 1)/2
Let p = -47 - -50. Factor 0*d + 1/6*d**5 + 2/3*d**4 + 0 + 5/6*d**p + 1/3*d**2.
d**2*(d + 1)**2*(d + 2)/6
Let t(o) be the first derivative of 14*o**3/15 - 3*o**2/5 - 46. Let t(u) = 0. Calculate u.
0, 3/7
What is n in 96/5*n - 24/5*n**2 + 2/5*n**3 - 128/5 = 0?
4
Let z(y) be the first derivative of -y**5/30 + y**4/12 - y**2/6 + y/6 - 5. Determine h so that z(h) = 0.
-1, 1
Let c(f) be the first derivative of -f**6/240 + f**5/240 + f**4/24 - f**3/3 - 8. Let a(w) be the third derivative of c(w). What is x in a(x) = 0?
-2/3, 1
Solve -4/9 - 4/9*q - 1/9*q**2 = 0.
-2
Let c(z) be the third derivative of -z**8/6720 - z**7/1680 + z**6/120 - z**5/15 - z**2. Let p(d) be the third derivative of c(d). Factor p(y).
-3*(y - 1)*(y + 2)
Let y(w) be the third derivative of 0 - 1/30*w**5 + 0*w**3 + 0*w + 1/12*w**4 - 3*w**2. Factor y(l).
-2*l*(l - 1)
Let 43*f**2 + 15*f + 5*f**3 + 15*f - 18*f**2 - 10*f = 0. Calculate f.
-4, -1, 0
Let c(g) = -g - 1. Let b(d) = -3*d**2 - 5*d + 9. Let o(u) = -5*u**2 - 7*u + 14. Let a(y) = -8*b(y) + 5*o(y). Let z(v) = -3*a(v) - 3*c(v). Factor z(m).
3*(m - 3)*(m - 1)
Let y(t) = -t + 2. Let m be y(2). Factor 0*x**2 + 0 + m*x + 2/3*x**4 + 0*x**3.
2*x**4/3
Let f(m) be the third derivative of m**6/360 + m**5/90 - 7*m**4/72 + 2*m**3/9 + 8*m**2. Factor f(l).
(l - 1)**2*(l + 4)/3
Determine a so that -1250/3 - 1000/3*a - 100*a**2 - 2/3*a**4 - 40/3*a**3 = 0.
-5
Let y = 2441/4 + -572. Let g = y - 38. Factor -1/2*h**2 + 1/2*h**4 + 0*h**3 - 1/4*h**5 + 0 + g*h.
-h*(h - 1)**3*(h + 1)/4
Let d(o) = o**3 + 7*o**2 - 8*o - 1. Let y be d(-8). Let j be y + 2 - (-6)/(-9). Suppose -1/3*u**2 + 