 z**4/40 + z**3/15 + 48. Factor c(y).
-y**2*(y - 1)*(y + 2)/10
Let v(s) be the first derivative of -2*s**5/5 - 7*s**4/2 - 10*s**3 - 9*s**2 - 7. Determine i so that v(i) = 0.
-3, -1, 0
Let a(x) = 5*x**3 - 6*x**2 - 25*x - 2. Let f(w) = 6*w**3 - 6*w**2 - 24*w - 3. Let h(u) = 3*a(u) - 4*f(u). Factor h(i).
-3*(i - 2)*(i + 1)*(3*i + 1)
Factor 8*i**2 - 3*i**3 - 2744 + 4*i**3 - 50*i**2 + 373*i + 215*i.
(i - 14)**3
Factor 0 + 0*g + 2/3*g**4 - 2/3*g**3 - 2/3*g**2 + 2/3*g**5.
2*g**2*(g - 1)*(g + 1)**2/3
Find h such that -2*h**2 - 1336 + 1332 + 0*h - 6*h = 0.
-2, -1
Let m(t) be the third derivative of -9*t**7/350 + 29*t**6/200 - 33*t**5/100 + 3*t**4/8 - t**3/5 + 14*t**2. Factor m(d).
-3*(d - 1)**3*(9*d - 2)/5
Suppose c + 7 = 9. Let t(o) be the third derivative of c*o**2 + 0*o + 0 - 1/420*o**6 + 0*o**5 + 0*o**4 + 0*o**3. Find f, given that t(f) = 0.
0
Let a(s) = s**5 + s**4 + s**3. Let k(l) = 3*l**5 + 17*l**4 - 11*l**3 - 4*l**2 + 18*l - 8. Let m(o) = -5*a(o) + k(o). Determine g so that m(g) = 0.
-1, 1, 4
Let b = 11 + -7. Let r be b/(-16) + (-2)/(-8). Find o such that 2/5 - 2/5*o**2 + r*o = 0.
-1, 1
Factor -2*w + 8*w**3 + 16*w**4 - 7*w**2 + 3*w + 0*w + 0*w**2.
w*(w + 1)*(4*w - 1)**2
Let w = 88/3 + -29. Let y = -9 + 28/3. Factor w*p + 0 - y*p**3 + 0*p**2.
-p*(p - 1)*(p + 1)/3
Let q(a) = -2*a**4 + 13*a**3 - 2*a**2 + 3*a - 3. Let n(y) = -25*y**4 + 170*y**3 - 25*y**2 + 40*y - 40. Let h(s) = 3*n(s) - 40*q(s). Find m, given that h(m) = 0.
0, 1
Suppose 15*v**3 - 1266*v + 5*v**5 + 15*v**4 + 1266*v + 5*v**2 = 0. Calculate v.
-1, 0
Suppose -5*b + 4 + 16 = 0. Suppose 0 = -2*t - x + 12, -15 - 18 = -5*t - b*x. Suppose -2/3*k**4 - 2/3 - 2/3*k + 4/3*k**3 + 4/3*k**2 - 2/3*k**t = 0. What is k?
-1, 1
Let 0*c + 0 + 1/2*c**3 - c**2 = 0. Calculate c.
0, 2
Factor 7*n**3 + 14*n**2 + 5*n**3 - 2*n**3 + 4*n.
2*n*(n + 1)*(5*n + 2)
Suppose -39*y + 40*y = 4. Determine s so that 40/7*s**y + 36/7*s**3 + 0 + 16/7*s**5 + 2*s**2 + 2/7*s = 0.
-1, -1/2, 0
Let p(a) be the third derivative of 1/12*a**5 + 1/2*a**4 + 0 + 0*a + 2/3*a**3 + 4*a**2. Determine t so that p(t) = 0.
-2, -2/5
Suppose 2*b = -2*b - 12. Let m be 6*b/(-6) + -1. Determine z so that 1/4*z**m - 1/2*z + 1/4 = 0.
1
Let y(a) be the first derivative of 3*a**5/20 - 3*a**4/4 - a**3/2 + 9*a**2/2 + 27*a/4 + 27. Factor y(z).
3*(z - 3)**2*(z + 1)**2/4
Let i(g) be the second derivative of -3*g**5/20 - 15*g**4/4 - 24*g**3 + 96*g**2 - 16*g. Suppose i(s) = 0. Calculate s.
-8, 1
Suppose 3*w - 7 = -2*a, -4*w + 2*w - 6 = 4*a. Factor 2/7 + 4/7*y**3 - 2/7*y**w - 2/7*y - 4/7*y**2 + 2/7*y**4.
-2*(y - 1)**3*(y + 1)**2/7
Find j such that -3 - 3*j + 3*j**3 + j**5 + 6*j**2 - 4*j**5 - 2*j**3 - 3*j**4 + 5*j**3 = 0.
-1, 1
Let g(q) be the first derivative of 2*q**3/27 - 2*q**2/9 + 12. Suppose g(f) = 0. Calculate f.
0, 2
Let u = -2911/3 + 973. Find o, given that -16/9 + 2/9*o**3 - 4/3*o**2 + u*o = 0.
2
Suppose -q + 4*b + 11 = -3, -4*q - 19 = -b. Let v be 0*(15/q - -2). Factor 6/5*x**2 + 2/5*x**4 + v - 2/5*x - 6/5*x**3.
2*x*(x - 1)**3/5
Suppose 5*l - j - 15 = 0, l + 6 - 28 = 4*j. Factor 3/2*y - 1 - 1/2*y**l.
-(y - 2)*(y - 1)/2
Let b(n) be the first derivative of -1/12*n**3 - 2 + 0*n + 1/4*n**2. Let b(d) = 0. What is d?
0, 2
Let f(a) = 3*a**4 + 7*a**3 - 3*a**2 + a. Let y(z) = -z**4 - z**3 + z**2 - z. Let d(t) = 3*f(t) + 12*y(t). Determine q so that d(q) = 0.
-1, 0, 1, 3
Let p(t) = -t**3 + 9*t**2 + 9*t + 10. Let r be p(10). Let q be -2*((-33)/(-12) - 3). Solve q*l + r + 1/2*l**2 = 0.
-1, 0
Let g = -31 + 34. Find a such that 1/4*a**2 - a**4 + 0 - 3/4*a**g + 0*a = 0.
-1, 0, 1/4
Let t(d) = -7*d**3 - 4*d**2 + 5*d - 6. Let v(f) be the first derivative of 15*f**4/4 + 3*f**3 - 11*f**2/2 + 13*f + 1. Let r(y) = -13*t(y) - 6*v(y). Factor r(b).
b*(b - 1)**2
Find p, given that -2/5*p**3 - 6/5*p - 2*p**2 + 18/5 = 0.
-3, 1
Suppose 3*z = 15 + 36. Suppose -3*h - 2*h = y + z, 5*y - 19 = h. Let 0 - c + 7/2*c**4 + 11/2*c**2 - 8*c**y = 0. Calculate c.
0, 2/7, 1
Let h be -5 - 19/(-4) - 3/(-4). Factor -1/4*k**2 - 1/4 + h*k.
-(k - 1)**2/4
Let q(j) = 1032*j**5 - 885*j**4 - 3867*j**3 + 3504*j**2 - 1005*j + 93. Let v(t) = -t**5 + t**4 + t**3 - t + 1. Let i(g) = q(g) + 3*v(g). What is d in i(d) = 0?
-2, 2/7, 2
Suppose -20*i = 37*i - 1197. Determine u, given that 3*u**2 + 0 + 147/4*u**4 - i*u**3 + 0*u = 0.
0, 2/7
Let l(u) be the third derivative of 1/168*u**8 + 0 - 1/60*u**6 + u**2 + 1/105*u**7 + 0*u**3 - 1/30*u**5 + 0*u + 0*u**4. Let l(r) = 0. Calculate r.
-1, 0, 1
Let y(z) be the first derivative of -z**5/100 - z**4/10 - 2*z**3/5 - 4*z**2/5 - z - 4. Let j(p) be the first derivative of y(p). Factor j(c).
-(c + 2)**3/5
Suppose 2*q + y = 4, y - 2 = -0*y. Factor -1/4*x**2 - q + x.
-(x - 2)**2/4
Let o(f) be the second derivative of f**6/720 - 5*f**3/3 + f. Let g(j) be the second derivative of o(j). Factor g(i).
i**2/2
Let g be -4*(2 - 2 - 1). Suppose -s + g = s. Factor s*x**2 - 1 + 2*x - 3*x**2 + 0 + 0*x.
-(x - 1)**2
Let u(v) be the second derivative of 0*v**2 + 1/60*v**6 + 1/8*v**4 + 0 - v - 3/40*v**5 - 1/12*v**3. Find r such that u(r) = 0.
0, 1
Let l(c) = -c**2 + 8*c - 9. Let h be l(6). What is j in j**2 + 3*j - 2*j**h - 3*j + j**4 = 0?
0, 1
Let j = -45 + 48. Let 4/3*i**j - i**4 + 1/3*i**2 - 2/3*i + 0 = 0. Calculate i.
-2/3, 0, 1
Factor -27/2*c + 15*c**2 + 11/6*c**4 - 1/6*c**5 - 23/3*c**3 + 9/2.
-(c - 3)**3*(c - 1)**2/6
Let k(d) = -d**2 - 5*d + 8. Let z be k(-6). Let x(t) be the first derivative of -z + 1/4*t**2 - 1/4*t - 1/12*t**3. Factor x(i).
-(i - 1)**2/4
Factor 16*b - 100 - 8*b**2 + 100 + b**3.
b*(b - 4)**2
Let g be 14/4 - 2/4. Solve -2*a**2 + 2*a**2 + g*a**2 - 6*a - 4 - 5*a**2 = 0.
-2, -1
Let h(i) = -i**2 + 1. Let t(f) = -20*f**2 + 12*f + 40. Let s(n) = 44*h(n) - 2*t(n). Find v such that s(v) = 0.
-3
Let r be (-1)/((-52)/16 + 3). Let 2*i**4 + 4*i + 12*i**2 + 3*i**4 + 12*i**3 - i**r = 0. What is i?
-1, 0
Let w(o) be the first derivative of 2*o**3/39 + 4*o**2/13 + 6*o/13 + 8. Factor w(h).
2*(h + 1)*(h + 3)/13
Let d be ((-14)/(-4))/((-1)/(-30)). Let v be (-58)/(-6) + (-2)/(-6). Let -4 + v*q + d*q**2 + 2*q - 4 - 4 = 0. Calculate q.
-2/5, 2/7
Suppose -10 = -2*v - 0*v. Factor 2*k + 0*k + 3*k**4 + k**4 + 4*k**5 - 4*k**2 - 6*k**v.
-2*k*(k - 1)**3*(k + 1)
Let m be -3 + 2/(2/(-1)). Let l be ((-3)/m)/(-3 + 6). Factor -l*o**2 + 0 + 1/2*o - 1/4*o**3.
-o*(o - 1)*(o + 2)/4
Factor 19/2*a**2 + 1/4*a**5 + 2 + 2*a**4 + 7*a + 25/4*a**3.
(a + 1)**2*(a + 2)**3/4
Let z(g) = g**3 - 5*g**2 + g - 2. Let r be z(5). Suppose 4*a - 5 = r. Determine n, given that 0*n**a - 2/7*n**3 + 0 + 0*n = 0.
0
Let q(d) = 1. Let i(f) = 4*f**2 - 104*f + 672. Let o(u) = -i(u) - 4*q(u). Find b, given that o(b) = 0.
13
Let u(k) be the second derivative of -k**9/1890 - k**8/336 - k**7/315 - 3*k**4/4 + 4*k. Let c(p) be the third derivative of u(p). What is t in c(t) = 0?
-2, -1/2, 0
Let m = 4 - 8. Let d be -1*((m - -2) + -11). Suppose z**2 + 3*z**2 - 18*z**4 + 8*z - d*z**3 - 2 - 11*z**3 = 0. What is z?
-1, 1/3
Let h(j) be the third derivative of 0 + 0*j - 2*j**2 + 0*j**4 - 1/120*j**6 - 1/60*j**5 + 0*j**3. Factor h(m).
-m**2*(m + 1)
Let m(j) be the third derivative of 2*j**7/105 + j**6/60 - j**5/15 - j**4/12 - 2*j**2. Factor m(v).
2*v*(v - 1)*(v + 1)*(2*v + 1)
Let x(z) = -z**2 - 12*z + 17. Let l be x(-13). Let v(s) be the first derivative of -7/8*s**l - 1/3*s**3 - 1 + 1/4*s**2 - 2/5*s**5 + 0*s. Solve v(o) = 0 for o.
-1, 0, 1/4
Let u be 4/6 + 30/9. Suppose 4*p - 5 - 3 = 0. Factor -4*h**3 + h - 3*h + 2*h**u + p*h.
2*h**3*(h - 2)
Determine p, given that 4/5*p**2 + 8/5 - 12/5*p = 0.
1, 2
Factor -3*x**2 - 3*x + 2*x + x.
-3*x**2
Let w(o) be the first derivative of o**5/20 - o**4/16 + 5. Find k, given that w(k) = 0.
0, 1
Let z(w) be the third derivative of 0 + 1/9*w**3 + 0*w + 6*w**2 + 1/180*w**6 + 1/12*w**4 + 1/30*w**5. Suppose z(t) = 0. What is t?
-1
Let i(h) be the third derivative of 3/8*h**4 + 1/2*h**3 + 3/20*h**5 + 0*h + 0 + 1/40*h**6 - 4*h**2. Factor i(q).
3*(q + 1)**3
Factor 1/6*h**4 + 2/3*h + 5/6*h**3 + 0 + 4/3*h**2.
h*(h + 1)*(h + 2)**2/6
Let g be 27/18*(-4)/(-2). Factor -6*y**2 + 4*y**g + 2*y**4 + 8*y**2 + 1 - 1.
2*y**2*(y + 1)**2
Let q(l) = l - 1. Let u be q(5). Suppose 5*v = -3*x - 10, x - u*x + 2*v = -4. Factor 0*n + 1/5*n**3 + x + 0*n**2.
n**3/5
Let k(p) be the first derivative of p**6/180 - 9*p**2/2 - 2. Let o(n) be the 