 14/5*j**2 + 6/5*j**3 + u*j.
2*(j + 1)**2*(3*j + 1)/5
Let p(c) = -8*c**3 + 28*c**2 - 48*c + 28. Let o(s) = 23*s**3 - 83*s**2 + 143*s - 83. Let w(z) = -4*o(z) - 11*p(z). Factor w(y).
-4*(y - 3)*(y - 2)*(y - 1)
Factor -5*u - 5*u**3 + 15*u**2 + 10*u - 15*u.
-5*u*(u - 2)*(u - 1)
Let n(p) be the second derivative of p**5/180 + p**4/72 - 3*p**2/2 - p. Let r(q) be the first derivative of n(q). Let r(l) = 0. Calculate l.
-1, 0
Let w(z) = 2*z**3 + z**2 + z - 1. Let b be w(1). Let o = b + -5/2. Suppose -o - 1/2*r**2 + 5/4*r = 0. What is r?
1/2, 2
Let r(l) be the third derivative of -1/12*l**4 + 3*l**2 - 1/105*l**7 + 0*l - 1/3*l**3 + 0 + 1/30*l**6 - 1/168*l**8 + 1/15*l**5. Find z, given that r(z) = 0.
-1, 1
Let u be (-100)/(-24) - (-1)/(-6). Let h = 6 - u. Determine c, given that 0 + 0*c + 1/2*c**4 - 1/2*c**h + 0*c**3 = 0.
-1, 0, 1
Let q = -950/9 - -106. Let i(k) = k**3 - 3*k**2 + 2*k + 2. Let l be i(2). Solve -2/9 + 2/9*o**4 + 0*o**l + q*o**3 - 4/9*o = 0.
-1, 1
Let t(y) be the second derivative of -y**5/150 + y**4/90 + 2*y**3/45 + 11*y. Factor t(h).
-2*h*(h - 2)*(h + 1)/15
Let n(s) be the first derivative of s**6/2 - 3*s**5 + 6*s**4 - 4*s**3 + 34. Factor n(t).
3*t**2*(t - 2)**2*(t - 1)
Let d(n) be the second derivative of 1/30*n**6 + 1/6*n**3 + 1/2*n**2 - 1/6*n**4 + 0 - 1/10*n**5 + 1/42*n**7 - 2*n. Let d(w) = 0. What is w?
-1, 1
Let q = 14 + -12. Suppose -q*t = 4*d, 0 = 4*t + 7*d - 2*d. Let 1/3*j**4 + 0*j + 2/3*j**3 + 1/3*j**2 + t = 0. Calculate j.
-1, 0
Let q be 851/(-111) - (1 - 9). Determine v, given that 0*v**2 - 1/3*v**4 + 2/3*v - 2/3*v**3 + q = 0.
-1, 1
Solve -2*u**3 - 4*u**3 - 6*u**4 + 8*u + 4*u**4 + 0*u**4 = 0 for u.
-2, 0, 1
Let o be (4/40)/((-18)/(-24)). Let c(a) be the first derivative of 0*a**3 - o*a**5 - 4 - 1/18*a**4 + 0*a**2 + 0*a + 4/27*a**6. Factor c(r).
2*r**3*(r - 1)*(4*r + 1)/9
Let r(q) be the first derivative of -q**6/6 + q**5 - q**4 - 8. What is l in r(l) = 0?
0, 1, 4
Let i(v) be the third derivative of 0 + 1/30*v**6 - 1/6*v**4 + 1/3*v**3 - 3*v**2 - 1/105*v**7 + 0*v + 0*v**5. Factor i(l).
-2*(l - 1)**3*(l + 1)
Suppose -3 = 4*g + 5, g = 3*q - 11. Let w(x) be the second derivative of 1/15*x**q + 0*x**2 + 0 - 1/15*x**4 + 1/50*x**5 + 3*x. Factor w(v).
2*v*(v - 1)**2/5
Let t = 27 + -53/2. Let x(c) be the first derivative of -1/8*c**4 + t*c + 1/2*c**3 - 3/4*c**2 + 2. Factor x(o).
-(o - 1)**3/2
Let w(m) be the second derivative of 4*m + 0*m**3 - 1/42*m**4 + 0 + 0*m**2. Factor w(b).
-2*b**2/7
Let r be -5 + 4/(-4) + 8. Determine o so that 3/4*o + 1/4 + 1/2*o**r = 0.
-1, -1/2
Let o be ((-7)/(-12))/7*(-64)/(-6). Find p such that -o*p**3 + 0 - 2/9*p**4 - 10/9*p**2 - 4/9*p = 0.
-2, -1, 0
Let h(l) be the third derivative of -l**7/42 + l**6/24 + l**5/12 - 5*l**4/24 - 2*l**2. Factor h(z).
-5*z*(z - 1)**2*(z + 1)
Let t(r) be the first derivative of -r**4/12 - r**3/9 + r**2/3 - 40. Factor t(k).
-k*(k - 1)*(k + 2)/3
Let y = -107 - -107. Factor 0 + 1/4*n**2 + y*n.
n**2/4
Let f = -20 + 19. Let i be 3*-4*f/18. Suppose 32*w**5 - i*w + 16/3*w**4 + 20/3*w**2 - 58/3*w**3 + 0 = 0. Calculate w.
-1, 0, 1/4, 1/3
What is j in -3*j**3 - 3/2*j**2 + 3*j**4 - 3/2 - 3/4*j**5 + 15/4*j = 0?
-1, 1, 2
Let s(z) = z**2 + 5*z + 6. Let q be s(-4). Factor 2*n**5 + 2*n**4 + 0*n**3 + 2*n**4 + q*n**3.
2*n**3*(n + 1)**2
Suppose 5*t + 7 - 22 = 0. Suppose 4*i + 10*i**2 + 3*i**2 - 11*i**2 - 2*i**t = 0. What is i?
-1, 0, 2
Factor -22*v**2 + 31*v**2 + 12 + 10*v - 34*v.
3*(v - 2)*(3*v - 2)
Let x(q) be the second derivative of q**6/60 - q**5/40 + 7*q. Solve x(k) = 0.
0, 1
Let u(o) be the first derivative of 2/27*o**3 + 0*o - 2/45*o**5 - 1/9*o**4 + 2 + 2/9*o**2. Factor u(z).
-2*z*(z - 1)*(z + 1)*(z + 2)/9
Let u(n) be the third derivative of -5*n**2 + 1/240*n**5 - 1/96*n**4 - 1/12*n**3 + 0*n + 0. Find c, given that u(c) = 0.
-1, 2
Let o(f) be the first derivative of -1/9*f**2 - 4/27*f**3 + 4/9*f + 1/18*f**4 - 3. Suppose o(i) = 0. Calculate i.
-1, 1, 2
Let x = -2714 - -89581/33. Let i = x - -1/11. Suppose -i*w**2 + 0 + 2/3*w = 0. Calculate w.
0, 1
Let c(r) = r**2 + 5*r - 4. Let m be c(-6). Suppose 5*b + 4*s = 0, -5*s = 2*b - 0*s. Let 1/5*a**m + b*a - 1/5 = 0. Calculate a.
-1, 1
Let v be 2 + -3 + -3 + 12/3. Let -1/2*l**2 + v + 1/2*l = 0. Calculate l.
0, 1
Let r be 14/21*2/4. Let t(d) be the second derivative of r*d**3 + d**2 + 0 - 1/10*d**5 - 1/6*d**4 - 2*d. Factor t(s).
-2*(s - 1)*(s + 1)**2
Let m(f) = f**2 + 5*f - 5. Let u be m(-6). Let x be (u - 2)/1*-2. Find w such that -5*w + 5*w - w**x - w**4 + 2*w**3 = 0.
0, 1
Factor -152*k**3 - 2*k + 2*k**2 + 6*k + 150*k**3.
-2*k*(k - 2)*(k + 1)
Suppose 10 = -5*k, 2*a + 4 = -3*k - 2. Suppose -2*r - 3*z = 5, -3*r = z + z. Factor 2/3*h**r + a - 4/3*h.
2*h*(h - 2)/3
Let y(r) be the third derivative of -r**5/60 + 5*r**4/24 - 2*r**3/3 + r**2 - 6*r. Factor y(z).
-(z - 4)*(z - 1)
Suppose 0 = 2*v - 3*v. Let k(m) be the third derivative of 0*m + 0*m**4 + 1/120*m**6 - m**2 + 0*m**5 + 0*m**3 - 1/210*m**7 + v. Let k(f) = 0. What is f?
0, 1
Let r(m) = m + 9. Let t be r(-7). Suppose -16*i**t - 3 - 11*i - 7*i**3 + 2 - 1 = 0. Calculate i.
-1, -2/7
Let v = -15 + 15. Let y(b) be the first derivative of 1/16*b**4 + 0*b**3 - 1 - 1/8*b**2 + v*b. Factor y(c).
c*(c - 1)*(c + 1)/4
Let r(t) = -44*t**2 - 24. Let o(c) = 9*c**2 + 5. Let w(b) = 24*o(b) + 5*r(b). Factor w(i).
-4*i**2
Let g be (-44)/(-12) - (-1)/3. Suppose 0*d = -g*d. Suppose 2*w**3 + 0*w**2 - 2/3*w**4 + d - 8/3*w = 0. Calculate w.
-1, 0, 2
Let r(z) = -2 - 4*z + 3*z - 3. Let u be r(-6). Solve u - k**4 - 1 = 0.
0
Let c be (36/(-100))/(1 - 65/50). Factor 6/5*t**2 + 2/5*t**3 - 2/5*t - c.
2*(t - 1)*(t + 1)*(t + 3)/5
Factor 4*u - u + 3*u**3 + 30*u**2 - 40*u**2.
u*(u - 3)*(3*u - 1)
Let u(j) be the second derivative of -j**6/15 + j**4/3 - j**2 - j. Determine s so that u(s) = 0.
-1, 1
Let r be (-1)/(-42)*((-6)/9)/(-1). Let f(o) be the second derivative of 0*o**2 + 0*o**3 + 0 + 3*o + 0*o**4 + 0*o**6 - 1/30*o**5 + r*o**7. Factor f(m).
2*m**3*(m - 1)*(m + 1)/3
Suppose 7 = g - 0. Suppose -5*n - 6 = -g*n. Solve -3/5*r**4 + 0*r - 1/5*r**2 - 1/5*r**5 + 0 - 3/5*r**n = 0 for r.
-1, 0
Let m(w) be the second derivative of w**9/15120 - w**8/6720 + w**4/12 - 2*w. Let p(s) be the third derivative of m(s). Factor p(u).
u**3*(u - 1)
Let g(q) = q - 8. Let m be g(4). Let x be (3/(-3))/(1/m). Factor -2*t**3 - 2*t**2 + x*t**3 + 0*t**2.
2*t**2*(t - 1)
Let u(h) be the first derivative of h**7/1260 - h**6/540 - h**3 + 3. Let n(i) be the third derivative of u(i). Factor n(y).
2*y**2*(y - 1)/3
Let c(q) be the first derivative of 3*q**4/4 - q**3 - 3*q**2/2 + 3*q + 35. Factor c(m).
3*(m - 1)**2*(m + 1)
Suppose -2*s + 7 = -s - c, 4*s = 2*c + 18. Suppose 3*v**4 - v**s + 2*v**4 - 2*v**4 - 2*v**3 = 0. Calculate v.
-1/3, 0, 1
Let s = -86/7 + 12. Let j = 11/14 + s. Let 1 - 3/2*g + j*g**2 = 0. What is g?
1, 2
Let i = -3/23 - -35/92. Let o be ((-6)/36)/((-4)/6). Find j, given that -1/2*j**3 - o*j**4 + 1/4*j - 1/4 + 1/2*j**2 + i*j**5 = 0.
-1, 1
Let b(q) be the third derivative of -1/108*q**4 - 1/540*q**6 + 0*q + 1/135*q**5 + 0 + 10*q**2 + 0*q**3. Determine p, given that b(p) = 0.
0, 1
Let h(d) = -d**2. Let s(t) = 20*t**2 - 85*t + 30. Let x(u) = -15*h(u) + s(u). Let x(a) = 0. What is a?
3/7, 2
Let d(p) be the second derivative of p**7/49 + 4*p**6/105 - p**5/70 - p**4/21 + 3*p. Factor d(v).
2*v**2*(v + 1)**2*(3*v - 2)/7
Let q(x) be the third derivative of x**8/420 + 2*x**7/525 - x**6/50 - x**5/15 - x**4/15 + 14*x**2. Determine f, given that q(f) = 0.
-1, 0, 2
Let b(j) be the third derivative of -j**8/30240 - j**7/3780 - j**6/1080 - j**5/540 + j**4/24 + 2*j**2. Let i(q) be the second derivative of b(q). Factor i(g).
-2*(g + 1)**3/9
Factor -3*a**3 + 9*a**2 - 4*a**2 - 5*a**2.
-3*a**3
Let b(w) = -w**3 - 3*w**2 - 4*w - 2. Let m be b(-2). Factor -d**2 - d**2 + 2*d**3 + 0*d**3 - 2*d**m.
2*d**2*(d - 2)
Let z(x) be the first derivative of -x**4/2 - 2*x**3/3 + x**2 + 2*x + 2. Factor z(m).
-2*(m - 1)*(m + 1)**2
Let y = 1401/3980 - 2/995. Let p(v) be the second derivative of -1/4*v**4 + 1/3*v**3 + 5/42*v**7 + v + 0 - y*v**5 + 0*v**2 + 1/10*v**6. Factor p(g).
g*(g - 1)*(g + 1)**2*(5*g - 2)
Factor -1/4*i**2 - 1 + 5/4*i.
-(i - 4)*(i - 1)/4
Factor -59*n**2 - n**2 - 4*n**4 + 13*n**4 - 5*n**4 + 24*n**3 + 32*n.
4*n*(n - 1)**2*(n + 8)
Let c = 11 - 9. Let q(m) be the first 