y**4/18 - 4*y**3/27 + 6. Factor u(g).
-2*g**2*(g + 1)**2*(g + 2)/9
Solve 8/3*n**2 + 0 + 1/3*n**4 + 4/3*n + 5/3*n**3 = 0.
-2, -1, 0
Let s(a) = 3*a**3 - 16*a**2 + 16*a - 4. Let h = -4 - -8. Let y(q) = q**2 - q + 1. Let u(x) = h*y(x) + s(x). Solve u(f) = 0 for f.
0, 2
Let d(h) = -36*h**2 + 28*h + 116. Suppose 2*b - 6*b + 20 = -2*m, 17 = -b - 5*m. Let i(j) = -4*j**2 + 3*j + 13. Let v(n) = b*d(n) - 28*i(n). Solve v(p) = 0.
-2, 2
Suppose -107*t + 110*t - 9 = 0. Solve 14/9*m**4 + 0*m - 4/9*m**2 + 0 - 10/9*m**t = 0 for m.
-2/7, 0, 1
Let q(n) be the third derivative of -n**10/181440 + n**9/45360 - n**8/40320 - 5*n**4/24 + n**2. Let i(x) be the second derivative of q(x). Factor i(u).
-u**3*(u - 1)**2/6
Suppose -w + 10 = w + 5*s, 5*w + s = 2. Let i = w - -1/2. Solve 1/2 - b**3 - i*b**2 + b = 0.
-1, -1/2, 1
Let d = -1/345 - -5867/690. Determine k so that -d*k**2 - 5*k + 17/4*k**3 + 4*k**4 + 2 - 7/4*k**5 = 0.
-1, 2/7, 2
Let j(b) = -b**3 + b**2 + b + 3. Let c be j(3). Let x be (-2)/c*(-6 + 10). Determine z so that x*z + 0 + 2/3*z**2 = 0.
-1, 0
Let y(t) be the first derivative of 5*t**3/3 + 5*t**2/2 + 10. Factor y(v).
5*v*(v + 1)
Suppose -9*u = -4*u - h + 45, -5*h = 5*u + 45. Let z = 9 + u. Let -1/2*w - 1/2*w**2 + z = 0. What is w?
-1, 0
Let f(n) = -2*n**5 + 2*n**4 - 5*n**3 - 3*n**2. Let c(h) = -3*h**5 + 3*h**4 - 9*h**3 - 5*h**2. Let x(y) = -3*c(y) + 5*f(y). Factor x(d).
-d**3*(d - 2)*(d + 1)
Let q(v) be the first derivative of 4*v**3/3 + 4*v**2 - 15. Suppose q(j) = 0. What is j?
-2, 0
Let z be (-8)/16*8/(-2). Let i(w) be the first derivative of 1/12*w**6 + 0*w - 1/4*w**4 + 0*w**3 + 0*w**5 + 1 + 1/4*w**z. Suppose i(c) = 0. What is c?
-1, 0, 1
Let n(l) be the second derivative of -5*l**7/42 - l**6/3 + 5*l**4/6 + 5*l**3/6 + 14*l. Determine q so that n(q) = 0.
-1, 0, 1
Determine y, given that 27/7*y**5 + 0 - 9*y**4 + 3/7*y**3 + 6/7*y + 27/7*y**2 = 0.
-1/3, 0, 1, 2
Let a be 1/(-3) - (-4)/6. Let m = -1/103 - -415/309. Find y such that a*y**2 - m*y + 4/3 = 0.
2
Let u = 85/4 - 83/4. Let 0*b - u*b**3 + 1/4*b**4 + 0 + 1/4*b**2 = 0. Calculate b.
0, 1
Let k(u) be the first derivative of u**5/2 + 4*u**4/3 + u**3/3 - 2*u**2 - u - 6. Let f(g) be the first derivative of k(g). Factor f(n).
2*(n + 1)**2*(5*n - 2)
Solve 1/4*k**2 + 17/2*k + 289/4 = 0 for k.
-17
Let p = 2 + 12. Let l be (-30)/(-14) - 2/p. Factor -s - 2/3 - 1/3*s**l.
-(s + 1)*(s + 2)/3
Let i be -4 - -14*4/8. Let f(q) be the third derivative of 0*q - 1/20*q**6 + 4*q**2 + 0 + 1/70*q**7 - 3/20*q**5 + 1/2*q**4 + 2*q**i. Factor f(a).
3*(a - 2)**2*(a + 1)**2
Suppose -12 = -3*z - a, -6*z - 3*a + 20 = -z. Factor 12*q**4 - 5*q**4 - 12*q - 15*q**3 + 24*q**2 - 4*q**z.
3*q*(q - 2)**2*(q - 1)
Let l = -7877/252 + 219/7. Let o(h) be the second derivative of -1/6*h**2 + 0*h**3 + l*h**4 + 4*h + 0. Determine t so that o(t) = 0.
-1, 1
Let p(w) be the second derivative of w**6/10 - 3*w**5/10 + w**4/4 + 11*w. What is s in p(s) = 0?
0, 1
Let w(i) be the second derivative of i**6/220 - 2*i**5/165 - i**4/132 + 2*i**3/33 - 3*i**2/2 + i. Let p(u) be the first derivative of w(u). Factor p(y).
2*(y - 1)**2*(3*y + 2)/11
Suppose -g - h + 120 = -0*h, 445 = 4*g - 3*h. Factor g*u**2 + 4 - 9*u**2 + 56*u + 4 + 40*u**3.
2*(u + 2)*(4*u + 1)*(5*u + 2)
Let g(m) be the first derivative of 2*m**5/15 + m**4/6 - 2*m**3/3 - 5*m**2/3 - 4*m/3 - 2. Factor g(p).
2*(p - 2)*(p + 1)**3/3
Suppose -5*g = -g. Suppose -r - 2*r + 75 = g. Factor 65/2*t**2 + 2 - 14*t - r*t**3.
-(2*t - 1)*(5*t - 2)**2/2
Find m, given that 5*m**4 + 4*m**3 + 2*m**5 + 8 - 8 + m**2 = 0.
-1, -1/2, 0
Let g = -5 - -16. Let h = 16 - g. Factor -4*l**4 - 12*l + 2 - 5*l**4 + 12*l**3 + h*l**2 + 2 + 0.
-(l - 1)*(l + 1)*(3*l - 2)**2
Solve 6*b**4 - 4*b**4 + 3*b**4 - 24*b**3 + 9*b**3 = 0 for b.
0, 3
Let y(s) = 12*s**2 + 57*s - 18. Let r(n) = -24*n**2 - 114*n + 35. Let p(i) = 3*r(i) + 5*y(i). Factor p(t).
-3*(t + 5)*(4*t - 1)
Factor -24/7*y + 2/7*y**5 - 22/7*y**2 - 8/7 + 6/7*y**4 - 2/7*y**3.
2*(y - 2)*(y + 1)**3*(y + 2)/7
Let x(h) = -h**3 - h**2 - h - 1. Let p(m) = 0*m**2 - 6*m**2 - 3 - 9*m - 5*m**3 - 1. Let w be 8/(-4) - (1 - 0)*-3. Let f(u) = w*p(u) - 6*x(u). Factor f(y).
(y - 1)**2*(y + 2)
Suppose 0 = 5*b - 0*b - 15. What is k in b*k**3 + 3*k**4 + 2*k**5 + 0*k**4 + 3*k**3 - 2*k**2 - 9*k**4 = 0?
0, 1
Suppose -2*h - 4 = -3*j + 8, -j - 4*h - 10 = 0. Determine l so that 2*l**4 - 1/4*l + 0 + 3/2*l**3 + 3/4*l**5 + 0*l**j = 0.
-1, 0, 1/3
Let p(t) be the third derivative of 1/3*t**4 - 2/35*t**7 + 0 + 1/5*t**5 - 1/15*t**6 + 0*t - 7*t**2 + 0*t**3. Factor p(l).
-4*l*(l - 1)*(l + 1)*(3*l + 2)
Let s(c) = c**4 + c**3 + c**2 - c - 1. Let g = -6 + 4. Let w = -1 + 2. Let q(p) = -3*p**4 + 14*p**3 - 7*p**2 - 2. Let m(x) = g*s(x) + w*q(x). Factor m(o).
-o*(o - 1)**2*(5*o - 2)
Let w = 341 + -1699/5. Let 3/5*s - 3/5*s**2 + w = 0. What is s?
-1, 2
Suppose 4*n = 2*c + 3*c - 41, 5*n = -4*c. Let j(y) = -25*y**2 + 12*y + 13. Let a(b) = -12*b**2 + 6*b + 6. Let u(r) = c*a(r) - 2*j(r). Factor u(s).
-2*(s - 1)*(5*s + 2)
Let p be (-54)/(-8) - (-6)/24. Determine u so that -3*u**3 + p*u**2 + 3*u - 7*u**2 = 0.
-1, 0, 1
Let w(t) = -3*t**4 - 5*t**3 - 10*t**2 - 4*t - 4. Let j(s) = 6*s**4 + 9*s**3 + 21*s**2 + 9*s + 9. Let l(p) = 4*j(p) + 9*w(p). Factor l(c).
-3*c**2*(c + 1)*(c + 2)
Suppose f + 2*f - 21 = -3*q, 0 = -3*q - 2*f + 16. Suppose q*l + 12 = -4*a, -l = -2*a - 3*a - 22. Factor 4*v**2 - 4*v**l + v**3 + v + 2*v**2 + 0*v.
v*(v + 1)**2
Let c be (8/6)/((-20)/150). Let q = -8 - c. Determine p so that 0 - 2/7*p + 2/7*p**q = 0.
0, 1
Let b(v) be the third derivative of 0*v**6 + 4*v**2 + 0*v + 1/36*v**4 + 0*v**3 - 1/60*v**5 + 1/630*v**7 + 0. Factor b(z).
z*(z - 1)**2*(z + 2)/3
Factor 18 - 4*q**3 - 2 + 2*q**2 - 18*q**2 + 4*q**2.
-4*(q - 1)*(q + 2)**2
Let n(t) be the first derivative of -2*t**5/25 + t**4/2 - 6*t**3/5 + 7*t**2/5 - 4*t/5 - 11. Factor n(k).
-2*(k - 2)*(k - 1)**3/5
Let v(t) be the second derivative of t**6/240 - t**4/96 + 9*t. Factor v(d).
d**2*(d - 1)*(d + 1)/8
Factor 3/4*x**2 + 0*x - 1/4*x**3 + 0.
-x**2*(x - 3)/4
Determine d, given that -4*d - 2*d + 6*d**4 + d**4 - 3*d**2 + 6*d**3 - 4*d**4 = 0.
-2, -1, 0, 1
Let a = -328/5 - -66. Factor 4/5*h - a - 2/5*h**2.
-2*(h - 1)**2/5
Let h be (-20)/(-25)*(-5)/(-2). Let w(g) be the second derivative of -1/21*g**3 + h*g + 0*g**2 + 0 - 1/42*g**4. Let w(t) = 0. Calculate t.
-1, 0
Let b be ((-1)/2)/(21/(-63)). Suppose -3*h**4 + 3*h**2 + b*h**3 - 3/2*h + 0 = 0. Calculate h.
-1, 0, 1/2, 1
Factor 30*c**3 + 3*c**4 - 57*c - 8*c**4 - 103*c.
-5*c*(c - 4)**2*(c + 2)
Let j(l) be the second derivative of l**8/16800 + l**7/1575 + l**6/360 + l**5/150 - l**4/4 + 3*l. Let m(k) be the third derivative of j(k). Factor m(p).
2*(p + 1)**2*(p + 2)/5
Suppose 5*v - 13 = 2*p, 2*p - p = 4*v - 11. Suppose 45*w**3 - 6 + 2*w + w - 3*w - v*w + 48*w**2 = 0. Calculate w.
-1, -2/5, 1/3
Let i(w) be the first derivative of w**6/9 - 2*w**5/15 - 2*w**4 - 8*w**3/9 + 16*w**2/3 - 40. Let i(y) = 0. Calculate y.
-2, 0, 1, 4
Let w(d) = -3*d**3 + d**2 - 11*d - 4. Let m(b) = 7*b**3 - b**2 + 23*b + 8. Let a(u) = 4*m(u) + 9*w(u). Let r be a(-6). Factor -r*j - j - 2*j**2 - 2 - j.
-2*(j + 1)**2
Let y = 169/3 - 56. Factor 2/3 + y*j**2 + j.
(j + 1)*(j + 2)/3
Let q(u) be the first derivative of -9/80*u**6 - 13/40*u**5 - 1/6*u**4 + u**2 + 0*u + 1/3*u**3 + 2. Let z(h) be the second derivative of q(h). Factor z(k).
-(k + 1)*(3*k + 2)*(9*k - 2)/2
Let h be (-228)/(-133)*3/(-1 - -13). Factor -3/7*q**2 + h + 0*q.
-3*(q - 1)*(q + 1)/7
Factor 3/5*t**2 + 9/5*t + 6/5.
3*(t + 1)*(t + 2)/5
Let f(m) be the third derivative of m**5/20 - 11*m**4/8 + 5*m**3 + 20*m**2. Solve f(x) = 0.
1, 10
Let i = 1 - -4. Let g(t) be the third derivative of -t**2 + 1/105*t**i + 0*t - 2/21*t**3 - 1/84*t**4 + 1/420*t**6 + 0. Determine k so that g(k) = 0.
-2, -1, 1
Solve 0 + 4/9*o + 2/9*o**2 = 0.
-2, 0
Let s be 4/30 - (-2)/(-15). Let p be s/((1 + -5)/(-2)). Determine a so that -4/5*a**2 + p - 2/5*a**3 - 2/5*a = 0.
-1, 0
Let s(l) = -21*l**3 + 6*l**2 + 21*l - 6. Let i = -3 + 7. Let m(g) = -3*g**3 + g**2 + 3*g - 1. Let n(r) = i*s(r) - 27*m(r). Factor n(p).
-3*(p - 1)*(p + 1)**2
Let c = -11 + 10. Let n be ((-2)/3)/(c - 1). What is v in 1/3*v**4 + 0 + v**3 + v**2 + n*v = 0?
-1, 0
Suppose 1/2 - 7/8*y**3 + 7/8*y - 1/2*y**2 = 0. What is y?
-1, -4/7, 1
Determine s so that -244/3*s -