/60*b**5 + b + 1/3*b**2 + 1/9*b**4 + 0 + 5/18*b**3. Factor v(d).
(d + 1)**2*(d + 2)/3
Let m(w) be the first derivative of 2/21*w**3 - 1/7*w**2 + 1/14*w**4 + 2 - 2/7*w. Factor m(v).
2*(v - 1)*(v + 1)**2/7
Let b(f) = -f**2 + f + 6. Let o(c) = -2*c**2 + 2*c + 18. Let v(a) = -7*b(a) + 2*o(a). Factor v(m).
3*(m - 2)*(m + 1)
Suppose 3 = j + j - g, -2*j - g + 5 = 0. Let s be 170/40 - (2 + j). What is o in 9/4 - 3/2*o + s*o**2 = 0?
3
Let f = 1049/178065 + 2/1319. Let y(h) be the second derivative of -3*h + 32/27*h**3 + 0 + 4/9*h**4 + f*h**6 + 4/45*h**5 + 16/9*h**2. Solve y(l) = 0 for l.
-2
Let q(a) = -a**2 + 12*a - 36. Let w be q(6). Factor w + 0*r + 2/11*r**5 + 2/11*r**4 + 0*r**3 + 0*r**2.
2*r**4*(r + 1)/11
Let q(x) be the second derivative of -x**5/10 + 5*x**4/6 - 8*x**3/3 + 4*x**2 + 2*x - 4. Find h such that q(h) = 0.
1, 2
Let z(g) = -g - 2. Let w be z(-4). Let l(b) be the second derivative of -2/15*b**4 + 0 + 0*b**w + 1/50*b**5 + 4/15*b**3 + b. Factor l(h).
2*h*(h - 2)**2/5
Let l(t) be the third derivative of t**6/660 + 2*t**5/165 - 14*t**2. Factor l(b).
2*b**2*(b + 4)/11
Let o(v) = 3*v**4 - 3*v**3 + 3*v**2 - 3*v. Let q(d) = 4*d**4 - 3*d**3 + 3*d**2 - 4*d. Let x(f) = 3*o(f) - 2*q(f). Find z, given that x(z) = 0.
0, 1
Let n(w) be the first derivative of -w**5/30 + w**3/18 - 13. Factor n(t).
-t**2*(t - 1)*(t + 1)/6
Let x = 10059/5 + -2003. What is g in 8/5 + 5*g**3 + x*g + 54/5*g**2 + 4/5*g**4 = 0?
-2, -1/4
Let w(n) be the first derivative of 2*n**3/21 + 17*n**2/7 + 32*n/7 - 51. Determine j, given that w(j) = 0.
-16, -1
Let l = -23 - -26. Factor -10*m - 5 + l*m**3 - 1 + m.
3*(m - 2)*(m + 1)**2
Let u(v) = -22*v**4 + 42*v**3 + 48*v**2 - 16*v + 8. Let p(m) = -7*m**4 + 14*m**3 + 16*m**2 - 5*m + 3. Let n(k) = 8*p(k) - 3*u(k). Factor n(f).
2*f*(f - 2)*(f + 1)*(5*f - 2)
Determine t, given that -4*t**3 + 12*t**2 + 0 - 20/3*t**4 - 4/3*t**5 + 0*t = 0.
-3, 0, 1
Let v(m) = -m**2 + 7*m - 4. Suppose d + 26 = 5*d - 2*j, -4*j + 20 = 4*d. Let b be v(d). Suppose -4*r + 2*r + r**2 - b + r = 0. What is r?
-1, 2
Let f(o) be the third derivative of o**6/90 - 7*o**4/18 - 4*o**3/3 + 5*o**2. Solve f(v) = 0.
-2, -1, 3
Let l(w) be the second derivative of 1/6*w**3 + 4*w - 1/60*w**5 + 0 + 0*w**4 + 1/3*w**2. Determine z so that l(z) = 0.
-1, 2
Let z = 14 - -3. Suppose -5*n + 3*h + 22 = 0, -4*n + h + z = 5. Factor -7 + 7*b + 3 - b - n*b**2.
-2*(b - 2)*(b - 1)
Let i = 352/3 + -117. Find v such that 0 - 1/3*v - i*v**2 = 0.
-1, 0
Solve -23/5*p**3 + 16/5*p**5 - 2/5*p + 0 - 24/5*p**4 + 3*p**2 = 0.
-1, 0, 1/4, 2
Let n(f) = -f**3 + 6*f**2 - f + 7. Let c be n(6). Suppose -2*p - 2 = -3*w + 3, w = p + c. Determine a, given that -6*a**p + a**3 - 3 + 0*a**3 - 5 + 12*a = 0.
2
Let o = 10 + -15. Let d(g) = -g**3 - 4*g**2 + 5*g - 3. Let r(l) = -2*l**3 - 7*l**2 + 9*l - 5. Let y(q) = o*d(q) + 3*r(q). Factor y(z).
-z*(z - 1)*(z + 2)
Let g be -2 - ((-212)/(-8) + -1). Let v = g + 28. Find p such that 0 + v*p + 1/2*p**2 = 0.
-1, 0
Let l(p) be the second derivative of -p**5/70 - p**4/21 + 4*p**3/21 + 8*p**2/7 + 67*p. Factor l(y).
-2*(y - 2)*(y + 2)**2/7
Let h(n) be the first derivative of -3/2*n**4 + 3/2*n**2 - 8 + 0*n**3 + 0*n + 1/2*n**6 + 0*n**5. Solve h(g) = 0 for g.
-1, 0, 1
Let t(a) be the second derivative of a + 8/3*a**3 - 343/15*a**6 - 14*a**4 + 0 + 147/5*a**5 + 0*a**2. Suppose t(i) = 0. Calculate i.
0, 2/7
Let f(i) be the third derivative of 11/120*i**5 + 8*i**2 - 1/24*i**4 + 0*i + 0*i**3 + 0. Factor f(w).
w*(11*w - 2)/2
Let h be ((-2)/12)/(1/(-8)). Suppose f + 2 = 5*o - 3, -o + 4*f = 18. What is p in -o*p + h*p**2 - 4/3 = 0?
-1/2, 2
Let z(u) = 11*u**2 + 5*u + 15. Let s(n) = 6*n**2 + 2*n + 8. Let f(i) = -7*s(i) + 4*z(i). What is x in f(x) = 0?
-2, -1
Let k = 1 - -4. Suppose -k*h = -2*h - 9. Let -2*w - w**2 + 4*w - h + 3 = 0. What is w?
0, 2
Let j(b) = -2 + 0*b - 5*b + 0*b + 1. Let u be j(-1). Solve 8*a - 9*a**3 + 6*a**2 - 5 - u*a - 1 + 5*a = 0.
-1, 2/3, 1
Suppose 2*h - 3*a = 1, -a - 2 + 3 = 0. Factor 0 + 2/7*x**4 - 2/7*x**h - 2/7*x**3 + 0*x + 2/7*x**5.
2*x**2*(x - 1)*(x + 1)**2/7
Let a(q) = -2*q**3 + 2*q. Let b be a(-2). Let l(f) = f**3 - f**2 + f + 1. Let h(z) = -11*z**3 + 9*z**2 + 12*z. Let o(m) = b*l(m) + 3*h(m). Factor o(k).
-3*(k - 2)*(k + 1)*(7*k + 2)
Suppose 3*m + 16 = 5*o, o + 2*m = -3 + 1. Factor 4*l - o + l**2 + 0*l + l**4 - 3*l**3 - l.
(l - 2)*(l - 1)**2*(l + 1)
Suppose 8 = -4*w - 4*x, -2*w + 0*x + 26 = -4*x. Factor -5/2*s - 1/2*s**w - 2*s**2 - 1.
-(s + 1)**2*(s + 2)/2
Let t be -1 - 3*(-20)/12. Suppose 0 = -5*v + 6 + t. Factor 1/2*l**3 + 1/4 - 1/2*l - 1/4*l**4 + 0*l**v.
-(l - 1)**3*(l + 1)/4
Suppose 2*v - v + 5*r = 6, -6 = -5*v - r. Let f(y) be the first derivative of 2/3*y**3 - v - y**2 + 1/2*y**4 - 2*y. Factor f(n).
2*(n - 1)*(n + 1)**2
Determine y, given that 6*y**3 - 2*y**4 - y**2 + 0*y**3 - 6*y - y**2 + 0*y**4 + 4 = 0.
-1, 1, 2
Let q be (1 + 3)/((-2)/(-1)). Suppose 0 = q*f + f. Suppose f + 8*r**3 + 8/3*r**2 + 6*r**4 + 0*r = 0. Calculate r.
-2/3, 0
Solve -12/5 - 6/5*w**2 + 22/5*w = 0.
2/3, 3
Let k(l) be the second derivative of -2*l + 2/3*l**3 + 1/20*l**5 + 0*l**2 + 1/3*l**4 + 0. Factor k(u).
u*(u + 2)**2
Let v(t) = 3*t**2 - t. Let a(u) = 4*u**2 - u. Let r = -9 - -7. Let j(p) = r*a(p) + 3*v(p). What is g in j(g) = 0?
0, 1
Suppose u + 6*r - r = -5, 5*u + 25 = 4*r. Let i(y) = 2 + y**2 + 0*y**2 - 3 + y**3. Let f(j) = 3*j**3 + 3*j**2 - 5. Let n(w) = u*i(w) + f(w). Factor n(d).
-2*d**2*(d + 1)
Suppose -3*i - 3*i + 18 = 0. Let g(v) be the first derivative of -2 + 0*v + 0*v**2 - 1/6*v**i. Determine q, given that g(q) = 0.
0
Let z = -19 - -16. Let y(a) = -9*a**3 - 7*a**2 + 9*a - 1. Let h(k) = k**3 + k**2 - k. Let l(r) = z*y(r) - 24*h(r). Factor l(t).
3*(t - 1)**2*(t + 1)
Let d(r) = -r**3 - 5*r**2 - 4*r + 2. Suppose 3*m = h + h - 4, 0 = -4*h - 4*m - 32. Let o be d(h). Solve 2*b - 5*b**2 + 2*b**o + 5*b**2 = 0 for b.
-1, 0
Suppose -2*d + 3*d - 2*v + 12 = 0, 28 = -2*d + 5*v. Let n be ((-1)/d)/(9/24). Factor -2/3*m**3 - n*m**4 + 2*m**2 + 10/3*m + 4/3.
-2*(m - 2)*(m + 1)**3/3
Let w(v) be the first derivative of -1/2*v - 1 + 1/4*v**2 - 1/8*v**4 + 1/6*v**3. Solve w(u) = 0.
-1, 1
Suppose 0*y = -4*y. Factor y*i**5 - i**5 - i**3 + 3*i**4 - i**4.
-i**3*(i - 1)**2
Let x(y) = -y**4 + y**2 - y - 1. Let b be -1 + (4 - 6 - 15). Let n(q) = 19*q**4 + 4*q**3 - 19*q**2 + 5*q + 9. Let m(d) = b*x(d) - 2*n(d). Solve m(l) = 0 for l.
-1, -2/5, 0, 1
Let b(g) be the third derivative of -g**8/504 + g**6/90 - g**4/36 - 15*g**2. Solve b(q) = 0.
-1, 0, 1
Let o(p) be the third derivative of -p**5/150 - p**4/30 + p**3/5 - 4*p**2. Factor o(h).
-2*(h - 1)*(h + 3)/5
Let n(y) be the first derivative of -4/3*y + 2 + 2/9*y**3 + 1/3*y**2. Suppose n(g) = 0. What is g?
-2, 1
Suppose -11*g + 37 + 7 = 0. Factor -4/7*w**2 + 4/7*w**3 - 2/7*w + 2/7*w**g - 2/7*w**5 + 2/7.
-2*(w - 1)**3*(w + 1)**2/7
Let g = 3/2 - 11/10. Let t(y) be the second derivative of -2*y + y**2 - 7/6*y**4 + 0 + g*y**5 + 2/3*y**3. Find m such that t(m) = 0.
-1/4, 1
Let d = -24 - -17. Let o(g) = g**2 + 7*g. Let k be o(d). Suppose 1/4*f**5 + 1/2*f**4 + 0*f**3 - 1/4*f + k - 1/2*f**2 = 0. What is f?
-1, 0, 1
Suppose 0 = 5*a + 20, 2*f + a = 4*f - 10. What is t in -1/3*t**f + 2/3*t**2 + 0 + 0*t = 0?
0, 2
Let m(y) be the third derivative of y**7/315 + y**6/540 - y**5/135 + 7*y**2. Suppose m(k) = 0. Calculate k.
-1, 0, 2/3
Let x(f) = -f**2 + 6*f - 4. Let r be x(4). Suppose 2*z + 4 = r*z. Let -2 + 0 - 18*l**2 + 20*l**z = 0. Calculate l.
-1, 1
Let w(z) be the second derivative of -z**5/70 + z**4/42 + z**3/21 - z**2/7 - 26*z. Suppose w(s) = 0. Calculate s.
-1, 1
Let s be -9 + 9 + (4 - 1). Factor -6*j - 3*j**s - 3/2 - 15/2*j**2.
-3*(j + 1)**2*(2*j + 1)/2
Let m(h) = -h**2 - 18*h + 43. Let s be m(-20). Solve 3/2*i**s - i**2 - 1/2*i**5 + 0 + 0*i**4 + 0*i = 0 for i.
-2, 0, 1
Let p = -4 + 6. Factor c - c**2 - 3*c - c**p + 0*c**2.
-2*c*(c + 1)
Suppose -5 = 5*s - 5*y, -s - y = -4 - 5. Factor -3/2*c**4 - 7/2*c**2 + c + 0 + s*c**3.
-c*(c - 1)**2*(3*c - 2)/2
Let j(z) be the first derivative of z**3/3 + 5*z**2/8 + z/4 - 5. Factor j(o).
(o + 1)*(4*o + 1)/4
Let g(m) be the second derivative of m**6/15 + 2*m**5/5 + 5*m**4/6 + 2*m**3/3 + 7*m. Solve g(f) = 0 for f.
-2, -1, 0
Factor 35*p**4 - 18*p + 42*p**3 - 17*p**4 + 1 + 3 + 2*p**2.
2*(p + 1)*(p + 2)*(3*p - 1)**2
Let t(h) = -16*h**3 