-u**2. Let g(v) = v**4 - v**2. Suppose 3*x = -0*x - 3. Let p(r) = x*g(r) + b(r). Factor p(y).
-y**4
Suppose 4*x = -29 + 101. Suppose 3*q + 2*j = q - 4, -5*j = q + x. Factor 2/7*s**q + 0 + 0*s.
2*s**2/7
Let o(s) = -s**3 + 3*s**2 + 5*s. Let a be o(4). Let -3*v**3 + 9*v**2 - a + 7 + 6*v**3 + 9*v = 0. What is v?
-1
Let i(w) be the third derivative of 0*w - 10*w**2 + 1/40*w**6 - 1/6*w**4 + 0 + 0*w**3 + 1/15*w**5. Factor i(v).
v*(v + 2)*(3*v - 2)
Let k(f) = f**5 + 5*f**4 + 17*f**3 - 3*f**2 + 5*f - 5. Let c(q) = -2*q**5 - 6*q**4 - 18*q**3 + 2*q**2 - 6*q + 6. Let x(n) = -5*c(n) - 6*k(n). Factor x(y).
4*y**2*(y - 1)**2*(y + 2)
Let t = 30 + -6. Suppose 4 = 2*w + 2*h - 8, -2*w - 5*h = -t. Find z, given that -z - 1/3*z**3 + 1/3 + z**w = 0.
1
Let o be ((-2)/(-3))/(1 + (-44)/(-12)). Let y(h) be the second derivative of -o*h**2 + 1/42*h**4 + 0 + 0*h**3 - 3*h. Factor y(n).
2*(n - 1)*(n + 1)/7
Let f = 13 + -10. Factor 10*u - 2*u - 2*u + f*u**2 - u**3 - 8*u.
-u*(u - 2)*(u - 1)
Let u(t) = -t**2. Let i(k) = 2*k**4 + 8*k**3 + 2*k**2. Let n(y) = -i(y) + 6*u(y). Solve n(p) = 0.
-2, 0
Let n(k) be the third derivative of k**6/180 + k**5/30 + k**4/12 + k**3/6 + k**2. Let s(o) be the first derivative of n(o). Factor s(p).
2*(p + 1)**2
Let o be (-1)/((-32)/(-12))*12/(-9). Factor 1/4*f**4 + o + 1/4*f**3 - 1/4*f - 3/4*f**2.
(f - 1)**2*(f + 1)*(f + 2)/4
Suppose 34*q = 38*q - 8. Let t = -5 + 9. Let 21/2*w**q + 11/2*w + 1 + 5/2*w**t + 17/2*w**3 = 0. What is w?
-1, -2/5
Let m(t) = -7*t**2 + 2*t + 5. Let s(y) = 5*y**2 + 7*y + 5. Let f(q) = q + 1. Let c(x) = 24*f(x) - 3*s(x). Let u(r) = -4*c(r) + 9*m(r). Factor u(o).
-3*(o - 3)*(o + 1)
Let u(x) be the third derivative of -x**7/210 - x**6/40 - x**5/30 + 10*x**2. Solve u(o) = 0 for o.
-2, -1, 0
Let y(r) be the third derivative of 0*r**3 + 0*r + 2*r**2 + 0 - 1/240*r**6 + 1/24*r**4 - 1/120*r**5. Factor y(x).
-x*(x - 1)*(x + 2)/2
Suppose 8/7*s - 10/7 + 2/7*s**2 = 0. What is s?
-5, 1
Let u = -2 - -8. Let x be u*(18/4 + -4). Solve -9/4*g**4 + x - 21/4*g**2 + 3*g - 15/2*g**3 = 0 for g.
-2, -1, 2/3
Let i(q) = q + 19. Let p be i(-14). Let v(f) be the second derivative of 0*f**3 + 0*f**p - 1/2*f**2 + 1/6*f**4 + 3*f - 1/30*f**6 + 0. Factor v(x).
-(x - 1)**2*(x + 1)**2
Let r(c) = -c**2 - 26*c + 39. Let v(p) = 25*p - 40. Let g(z) = 5*r(z) + 4*v(z). Solve g(u) = 0 for u.
-7, 1
Factor 45 + 29*m**3 + 35*m**4 - 4*m**3 - 25*m - 35 - 45*m**2.
5*(m - 1)*(m + 1)**2*(7*m - 2)
Suppose 0 = -22*g + 13*g + 18. Factor 1/2*q**g + 2 - 2*q.
(q - 2)**2/2
Let r(n) = n**2 + 6*n + 1. Let a be r(-6). Suppose 3*l + 0*l**2 - 3*l**2 + 7 - a + 0*l**2 = 0. Calculate l.
-1, 2
Let p = 3 + -1. Let v(b) = -10*b**2 + b + 7. Let l(z) = 3*z**2 - 2. Let w(i) = p*v(i) + 7*l(i). Factor w(x).
x*(x + 2)
Let z be 14/70 + ((-6)/(-105))/(-1). Factor 1/7 + 2/7*k**3 - z*k**5 + 1/7*k**4 - 1/7*k - 2/7*k**2.
-(k - 1)**3*(k + 1)**2/7
Let t(b) be the second derivative of b**8/3360 - b**7/1260 + b**4/12 - 3*b. Let r(l) be the third derivative of t(l). Factor r(x).
2*x**2*(x - 1)
Let g(v) be the second derivative of v**7/105 - 2*v**6/75 - v**5/50 + v**4/15 - 32*v. Determine h so that g(h) = 0.
-1, 0, 1, 2
Let 4/15*z**2 - 2/15*z + 0 - 2/15*z**3 = 0. Calculate z.
0, 1
Factor -48*r**2 - 6*r**3 + r**4 - 15*r**4 - 54*r**3 + 16*r - 2*r**4.
-4*r*(r + 2)**2*(4*r - 1)
Suppose u + 2*d = 7, 3*u + 4 - 14 = 5*d. Factor 1/2 - 3/2*o**4 + o**2 + 3/2*o - 1/2*o**u - o**3.
-(o - 1)*(o + 1)**4/2
Factor -1/5*t**2 + 4/5 + 0*t.
-(t - 2)*(t + 2)/5
Let j(w) be the first derivative of -1/6*w**2 - 2/3*w - 6 + 1/9*w**3. Find k, given that j(k) = 0.
-1, 2
Let x = 87 - 171/2. Factor 0 + x*b + 3/2*b**2.
3*b*(b + 1)/2
Find r such that -2/7*r**2 + 0 + 4/7*r = 0.
0, 2
Let z(i) be the second derivative of -i**4/3 + 8*i**3/3 - 6*i**2 + 6*i. Find x, given that z(x) = 0.
1, 3
Let j(s) be the second derivative of s**7/420 - s**6/60 + s**5/30 - s**2 + 3*s. Let c(a) be the first derivative of j(a). Factor c(o).
o**2*(o - 2)**2/2
Let n(y) be the second derivative of -y**8/36960 - y**7/6930 - y**6/3960 + 7*y**4/12 + 3*y. Let w(k) be the third derivative of n(k). Factor w(q).
-2*q*(q + 1)**2/11
Let u = 21 - 14. Factor 15*v**3 + 4*v**2 + 12 - 13*v**2 + 0*v**4 + 6*v**4 - u*v - 17*v.
3*(v - 1)*(v + 2)**2*(2*v - 1)
Let v(u) be the first derivative of 8*u**5/5 + u**4/2 - 2*u**3/3 - 4*u**2 - 4. Let n(p) = -p**4 + p. Let w(a) = -6*n(a) - v(a). Let w(z) = 0. Calculate z.
-1, 0, 1
Suppose 2*q = 533 + 247. Let g be 320/q - 2/3. Solve 4/13*l**3 + 0 + g*l**2 + 2/13*l**4 + 0*l = 0.
-1, 0
Let p(y) be the first derivative of y**6/3 - 8*y**5/5 - 6*y**4 - 4*y**3/3 + 11*y**2 + 12*y + 13. Find r such that p(r) = 0.
-1, 1, 6
Let r(q) be the third derivative of -q**7/1680 - q**6/480 + q**5/40 - q**4/12 + 6*q**2. Let c(h) be the second derivative of r(h). Factor c(a).
-3*(a - 1)*(a + 2)/2
Factor d - 2*d**3 - d**2 + 6*d**3 - 8*d**2 + 4*d**2.
d*(d - 1)*(4*d - 1)
Let l(j) be the second derivative of j**5/4 + 5*j**4/12 - 25*j**3/6 + 15*j**2/2 - 14*j. Factor l(h).
5*(h - 1)**2*(h + 3)
Let o(l) be the second derivative of l**5/5 - 2*l**4/3 + 2*l**3/3 + 3*l. Factor o(x).
4*x*(x - 1)**2
Suppose 0 = -3*n + 5 + 1. Find g such that -5 + n - g**4 - g**3 + 3 = 0.
-1, 0
Let x(l) be the first derivative of -2 - l**3 + 2*l - l**2 - 1/3*l**4. Let a(z) be the first derivative of x(z). Factor a(b).
-2*(b + 1)*(2*b + 1)
Let z(w) be the second derivative of w**5/40 - w**4/4 + 3*w**3/4 - w. Determine y, given that z(y) = 0.
0, 3
Let w(v) be the second derivative of v**7/273 - 5*v. Let w(f) = 0. What is f?
0
Let h = -323/12741 - -2/137. Let p = h - -127/279. Determine m so that 0*m**2 + 0*m + 0 + 2/9*m**5 - p*m**4 + 2/9*m**3 = 0.
0, 1
Let z(u) be the second derivative of -1/16*u**4 - 1/12*u**3 + 0 + u**2 - 1/40*u**5 - u - 1/240*u**6. Let i(a) be the first derivative of z(a). Factor i(q).
-(q + 1)**3/2
Let z(y) be the third derivative of 1/3*y**3 + 0*y**5 + 0 - 1/120*y**6 + y**2 + 0*y + 1/8*y**4. Factor z(g).
-(g - 2)*(g + 1)**2
Suppose -5*z = -4*z - 32. Let y be z/30 + 20/(-30). Solve y*a + 4/5*a**2 + 0 = 0 for a.
-1/2, 0
Let n(u) = -3*u**2 + 3*u. Suppose -g - 5 = -0, -18 = -f + 3*g. Let t(z) = -4*z**2 + 4*z. Let p(w) = f*n(w) - 2*t(w). Determine j so that p(j) = 0.
0, 1
Let q(l) be the second derivative of -l**7/4620 + l**6/1980 - l**3/3 + l. Let w(x) be the second derivative of q(x). Factor w(t).
-2*t**2*(t - 1)/11
Suppose 0 = 3*j - 12, 4*v - j = -5*j + 20. Let u(p) = 3*p**3 + 2*p - 1. Let w be u(v). Factor -4/3*n**2 - 2*n**3 - 2/3*n**w + 0*n + 0.
-2*n**2*(n + 1)*(n + 2)/3
Let r(l) = 7*l + 1. Let y(u) = -4*u - 1. Let w(d) = -3*r(d) - 5*y(d). Let j be w(0). Factor -p**3 - p + p**4 - 4*p**j + p**5 + p + 3*p**2.
p**2*(p - 1)*(p + 1)**2
Let t(i) be the second derivative of -i**3/3 - 9*i**2/2 + 8*i. Let y be t(-6). Factor 0 + 0*d**2 - 2/9*d**y + 2/9*d.
-2*d*(d - 1)*(d + 1)/9
Suppose -q + 9 = 2*q. Solve 3*k + 4*k**4 - k**3 + 5*k**3 - q*k = 0.
-1, 0
Let c(x) = 2*x**2 + 1. Suppose -7*t = -3*t. Suppose -9*w + 4*w - 5 = t. Let f(q) = q**2 + q + 1. Let z(k) = w*c(k) + f(k). Factor z(l).
-l*(l - 1)
Let l(f) be the third derivative of 0*f**3 - 2*f**2 + 0*f + 1/240*f**6 + 0 + 0*f**4 + 1/60*f**5 - 1/420*f**7. Factor l(t).
-t**2*(t - 2)*(t + 1)/2
Let t(l) be the second derivative of -l**5/30 - l**4/6 + 4*l**3/9 - 2*l + 3. Factor t(d).
-2*d*(d - 1)*(d + 4)/3
Suppose -20 = n - 3*n. Suppose 2*c = 3*r - r + n, -4*r + 5*c - 25 = 0. Factor 0 + 0*p + 8/7*p**2 + 2/7*p**5 - 6/7*p**4 + r*p**3.
2*p**2*(p - 2)**2*(p + 1)/7
Let c be (-520)/(-117) + (-8)/2. Find x such that 2/3*x**4 - 2/3*x**2 + 4/9*x + 0 - c*x**3 = 0.
-1, 0, 2/3, 1
Let i(c) be the third derivative of -1/420*c**7 + 1/672*c**8 + 0*c**3 - 1/240*c**6 + 0 - 3*c**2 + 1/120*c**5 + 0*c**4 + 0*c. Solve i(j) = 0 for j.
-1, 0, 1
Let u be (-3)/2*50/(-60). Let r(q) be the first derivative of 2/3*q**3 + 1/8*q**4 + 2 + q + u*q**2. Determine c, given that r(c) = 0.
-2, -1
Let n = 7 + -14. Let y be (-3)/n + (-2)/70. Suppose 6*t**3 - y*t + 0 + 32/5*t**5 - 4/5*t**2 + 64/5*t**4 = 0. Calculate t.
-1, -1/4, 0, 1/4
Let b = -351 - -353. Solve -3/2*z**5 - 3*z**b - 9/2*z + 6*z**3 + 3 + 0*z**4 = 0 for z.
-2, -1, 1
Let y = -38 + 38. Determine f so that 1/2*f**3 + y + 1/4*f**4 + 0*f + 1/4*f**2 = 0.
-1, 0
Let j(o) = -o**3 - 7*o**2 + 2*o + 3. Let q be j(-7). Let r 