 + 3*u**2/2 - 22*u. Factor f(m).
-3*(m - 1)*(m + 1)*(7*m + 1)
Let s(a) be the third derivative of a**6/480 - a**5/120 - 7*a**4/96 - a**3/6 - 10*a**2. Factor s(g).
(g - 4)*(g + 1)**2/4
Let h = 36 - 34. What is j in 1/5*j - 2/5 + 1/5*j**h = 0?
-2, 1
Let p(d) = 24*d + 96. Let u be p(-4). Factor 3/5*q**4 + 8/5*q + 4*q**2 + u + 14/5*q**3.
q*(q + 2)**2*(3*q + 2)/5
Let o(b) be the second derivative of b**9/9072 + b**8/2520 - b**6/540 - b**5/360 - 2*b**3/3 + 2*b. Let l(j) be the second derivative of o(j). Factor l(p).
p*(p - 1)*(p + 1)**3/3
Let m(t) be the first derivative of 0*t**3 - 3 - 1/21*t**6 + 0*t + 1/14*t**4 + 0*t**2 + 0*t**5. Factor m(l).
-2*l**3*(l - 1)*(l + 1)/7
Let q(k) = -3*k**3 + 5*k**2 + 2. Let j(s) = s**3 - s**2 - s - 1. Let p(u) = 10*j(u) + 5*q(u). Factor p(z).
-5*z*(z - 2)*(z - 1)
Let a(o) = o**2 + 9*o - 8. Let w be a(-8). Let v be w/(-7) - (3 + -1). Solve -v*f**3 + 0*f + 0*f**2 + 2/7*f**4 + 0 = 0 for f.
0, 1
Let t(p) be the second derivative of 0 - p**2 - 1/2*p**4 - 1/10*p**5 - p**3 - p. Let t(y) = 0. What is y?
-1
Let c(u) be the second derivative of u**8/640 - 3*u**7/560 + u**6/240 + u**4/4 - 3*u. Let k(j) be the third derivative of c(j). Factor k(d).
3*d*(d - 1)*(7*d - 2)/2
Let v(h) be the first derivative of 3*h**5/5 - 9*h**4/16 - h**3/4 - 4. Factor v(p).
3*p**2*(p - 1)*(4*p + 1)/4
Let s(v) = -v**3 - 3*v**2 - 2*v - 2. Suppose y + 2 = -1. Let d be (-3 + 2)*-1 + 2/1. Let r(f) = f - 1. Let h(c) = d*r(c) + y*s(c). Factor h(t).
3*(t + 1)**3
Suppose g + 2*m - 2 = 0, 0 = 5*g - m - 17 - 26. Factor 2*l**4 - 8 - l**5 + l - 2*l**2 + g.
-l*(l - 1)**3*(l + 1)
Let l(b) = -8*b**3 - 16*b**2 - 20*b. Let h(z) = 7*z**3 + 15*z**2 + 19*z + 1. Let i(k) = 6*h(k) + 5*l(k). Find p such that i(p) = 0.
-3, -1
Let n(y) = 4*y**2 + 11*y. Let l(g) = -g**2 - g. Let d(m) = 3*l(m) + n(m). Solve d(p) = 0.
-8, 0
Let s(r) be the first derivative of -14*r**3/15 + 9*r**2/5 - 4*r/5 - 5. Factor s(p).
-2*(p - 1)*(7*p - 2)/5
Solve 5*n**2 + 6*n**3 - 10*n + 3*n**3 - 4*n**3 = 0.
-2, 0, 1
Let u(y) be the third derivative of -y**8/672 + y**7/420 + y**6/180 - y**4/8 + 3*y**2. Let t(a) be the second derivative of u(a). Suppose t(g) = 0. What is g?
-2/5, 0, 1
Let d(h) be the third derivative of -h**8/112 + h**7/70 + h**6/20 - h**5/10 - h**4/8 + h**3/2 - 2*h**2. Determine r so that d(r) = 0.
-1, 1
Let j(y) be the first derivative of -y**6/24 + y**5/10 - y**4/16 + 22. Factor j(i).
-i**3*(i - 1)**2/4
Let b = 37/6 + -6. Let i(x) be the first derivative of 1/18*x**6 + 0*x - 1/6*x**4 + 0*x**3 + 2 + b*x**2 + 0*x**5. What is u in i(u) = 0?
-1, 0, 1
Suppose 5*w - 5*w + 3*w + w**2 - 2*w = 0. Calculate w.
-1, 0
Let 1/5 - 3/5*o - 4/5*o**2 = 0. What is o?
-1, 1/4
Solve -1/6*n**2 + 1/2 - 1/3*n = 0 for n.
-3, 1
Let p(r) be the first derivative of -r**4/4 - 3*r**3 + 3*r + 4. Let b be p(-9). Solve 0 - 16/7*d**2 - 8/7*d - 6/7*d**b = 0.
-2, -2/3, 0
Solve 28/3*f**4 + 0 + 10/3*f**5 + 4/3*f**2 + 8*f**3 - 2/3*f = 0.
-1, 0, 1/5
Let l = -30 + 33. Suppose -4*c = 5*t - t, -l = c + 2*t. Determine b, given that 1/6*b**c - 1/6 + 1/6*b**2 - 1/6*b = 0.
-1, 1
Let y(q) = q**2 + 3*q + 2. Let k be y(-5). Let h be (-16)/k*3/(-8). Factor h*a**3 + 1/4 - 1/4*a - 1/2*a**2 - 1/4*a**5 + 1/4*a**4.
-(a - 1)**3*(a + 1)**2/4
Suppose -15*k**3 - 13*k**3 - 16*k**3 - 72*k**4 - 28*k**5 + 8*k**4 - 8*k**2 = 0. What is k?
-1, -2/7, 0
Let s(i) = 49*i + 53. Let u be s(-1). Determine k, given that 1/2 + 13/8*k**3 + 13/8*k**2 + 1/2*k**5 - 2*k - 2*k**u = 0.
-1, 1/2, 2
Let j be (4/12)/(14/63). Factor -j*b**2 - 1/4 - 1/4*b**4 - b**3 - b.
-(b + 1)**4/4
Find x such that 0 - 9/4*x**5 + 27/4*x**3 - 3/2*x**4 + 3*x + 9*x**2 = 0.
-1, -2/3, 0, 2
Factor 1/7*m**3 - 1/7*m - 3/7 + 3/7*m**2.
(m - 1)*(m + 1)*(m + 3)/7
Suppose 2*b + 26 = 4*v - b, -5 = -3*v - 5*b. Let m = v - 5. Factor -5*h**4 - h**2 + m*h**3 + 2*h**3 + 7*h**5 - 3*h**5 + 12*h**4.
h**2*(h + 1)**2*(4*h - 1)
Let n(k) = -2*k - 2. Let s be n(-4). Let t = s - 4. Factor -2/3*b**t + 0 + 0*b.
-2*b**2/3
Let w(b) be the third derivative of b**8/80640 + b**7/20160 + b**5/30 - 3*b**2. Let t(o) be the third derivative of w(o). What is j in t(j) = 0?
-1, 0
Suppose -2*n = 2*f - 2, -5*f = -7*n + 3*n + 22. Determine r, given that 3/2*r**4 + 0 - 3/2*r**2 - 11/2*r**n + 9/2*r**5 + r = 0.
-1, -2/3, 0, 1/3, 1
Suppose -2*f = 8, -3*f + 7*f - 8 = -2*d. Suppose -5*k + 0*k + 10 = -5*n, n + d = 3*k. Find t, given that t**n - 2*t**5 + t**4 + t**5 - t**2 + 0*t**2 = 0.
-1, 0, 1
Suppose 2*n = 3*p + 5, 2*n = -0*p + 4*p + 4. Suppose 0 = -3*r + r + n. Determine z so that 0 + 1/2*z + 1/4*z**r = 0.
-2, 0
Suppose 5 = 14*u - 13*u. Solve 3*b**3 + 4*b**4 - 4*b**5 - 4*b - 1 + 5 - 8*b**2 + u*b**3 = 0 for b.
-1, 1
Let x = -1047 + 11521/11. Factor -10/11*j + 4/11*j**2 + x.
2*(j - 2)*(2*j - 1)/11
Let q(w) = w + 24. Let j be q(-19). Factor -1/2*n + 0 - 1/2*n**j - 2*n**2 - 3*n**3 - 2*n**4.
-n*(n + 1)**4/2
Factor 8*o + 3*o - 2*o**2 - 6 + 4*o - 2*o**3 - 5*o.
-2*(o - 1)**2*(o + 3)
Let v(x) be the second derivative of x**6/1080 - x**3/2 - 2*x. Let j(k) be the second derivative of v(k). Factor j(t).
t**2/3
Let n(r) = r**3 + 3*r**2 - 4*r. Let b(l) = -l**3 - 4*l**2 + 5*l. Let z(u) = -3*b(u) - 4*n(u). Factor z(h).
-h*(h - 1)*(h + 1)
Suppose m - 5*z - 13 = 0, -2*z - z - 18 = -4*m. Suppose 0*k + 4*k - 4 = 2*i, -m*k + 10 = -5*i. Solve k + 0*v + v**2 - 1/2*v**3 = 0.
0, 2
Let a(t) be the second derivative of t**4/54 - t**3/9 + 2*t**2/9 - 11*t. Factor a(w).
2*(w - 2)*(w - 1)/9
Suppose -4*h + 7*c - 9 = 2*c, 2*c = 5*h - 10. Let m(v) be the second derivative of -3*v + 1/40*v**5 + 0 + 1/48*v**h + 0*v**2 - 1/24*v**3. Factor m(o).
o*(o + 1)*(2*o - 1)/4
Let k(v) be the first derivative of -v**8/8400 + v**7/2100 - v**6/1800 - 8*v**3/3 + 1. Let x(t) be the third derivative of k(t). Determine m so that x(m) = 0.
0, 1
Determine p, given that 12 + 23/3*p**4 + 5/3*p**5 - 5/3*p**3 - 107/3*p**2 - 16*p = 0.
-3, -1, 2/5, 2
Let i(c) = 3*c + 33. Let o be i(-9). Determine a so that 12*a - 147*a**3 - 135/2*a**2 + o - 147/2*a**4 = 0.
-1, -2/7, 2/7
Let o(a) = -a - 2. Let h be o(-4). Suppose -h = -j - 6. Let k(g) = -5*g**2 + 2*g + 3. Let n(x) = 9*x**2 - 3*x - 5. Let r(s) = j*n(s) - 7*k(s). Factor r(p).
-(p + 1)**2
Suppose 149 = 3*i + 2. Find f such that -16*f - 4 - i*f**2 + 0*f**2 - 12*f = 0.
-2/7
Let p(d) be the second derivative of -d**4/12 - d**3/6 + 3*d**2/2 - 7*d. Let i(v) = -3*v**2 - 3*v + 7. Let t(o) = -3*i(o) + 7*p(o). What is c in t(c) = 0?
-1, 0
Factor 2/7 - 9/7*v**2 + v.
-(v - 1)*(9*v + 2)/7
Suppose 0*s + 3*s - 29 = -4*y, 3*y = 3*s + 6. Factor p**2 - 7*p + 11*p - s*p**2.
-2*p*(p - 2)
Let p(u) be the first derivative of -7*u**4/8 + 3*u**3 + 13*u**2/4 - 6*u - 19. Factor p(l).
-(l - 3)*(l + 1)*(7*l - 4)/2
Let q(h) be the second derivative of h**8/168 + 2*h**7/105 - h**5/15 - h**4/12 - 3*h**2/2 + h. Let o(g) be the first derivative of q(g). Factor o(l).
2*l*(l - 1)*(l + 1)**3
Let n(a) be the third derivative of -1/120*a**5 - 3/160*a**6 + 0*a**3 + 0*a**4 + 0*a + 0 - a**2. Factor n(m).
-m**2*(9*m + 2)/4
Let j(n) be the third derivative of n**10/12960 + n**9/9072 - n**8/10080 - n**4/4 - 6*n**2. Let m(r) be the second derivative of j(r). Factor m(g).
g**3*(g + 1)*(7*g - 2)/3
Suppose 5*x = -4*n - 20, 5*x - n = n + 10. Factor 0 - 1/2*d**2 + x*d - 1/2*d**3.
-d**2*(d + 1)/2
Let b(a) = -26*a**4 + 2*a**3 + 20*a**2 - 2*a - 6. Let d(v) = 25*v**4 - 3*v**3 - 20*v**2 + 3*v + 5. Let p(r) = -5*b(r) - 6*d(r). Factor p(q).
-4*q*(q - 1)*(q + 1)*(5*q - 2)
Suppose 0 = -2*v + 6 + 2. Let k = v + -2. Factor 2*n + 2*n**3 + 0*n**5 + k*n**5 - 6*n**3.
2*n*(n - 1)**2*(n + 1)**2
Let m(u) = -12*u + 86. Let g be m(7). Determine x so that 0 + 4/3*x**g + 2/3*x = 0.
-1/2, 0
Let z be 2/21 - (-15410)/15477. Factor -2/11*x**2 - 18/11 + z*x.
-2*(x - 3)**2/11
Suppose 11*r + 10 - 10 = 0. Factor 3/2*z**3 + r*z + 1/2*z**2 + 0.
z**2*(3*z + 1)/2
Suppose -5*p - a = 9, 5*a = -4*p - 23 - 1. Let i be 3 + p + 1 + -1. Find k such that 0*k**2 - 2*k - 2*k**3 - 5*k**2 - 2*k**i + 3*k**2 = 0.
-1, 0
Let w(f) be the second derivative of f**6/30 + 2*f**5/5 + f**4/4 + 2*f. Let o(s) = 12*s**4 + 105*s**3 + 39*s**2. Let c(g) = -2*o(g) + 27*w(g). Factor c(r).
3*r**2*(r + 1)**2
Solve -4/3*l - 4/3*l**2 + 0 = 0 for l.
-1, 0
Suppose -6*y**2 + 0*y - 2*y + 2*y**2 + 6*y = 0. What is y?
0, 1
Let x(r) be the third derivative of -r**8/