*w**3 + 0 - 1/6*w.
w*(w - 1)*(w + 1)**2/6
Suppose 18 = 3*k - c, -3*k + 0*k - 4*c + 18 = 0. Suppose k*x = 2*x + 8. Factor 5*i**x + 5*i + i - 3*i**3 - 2*i**2.
-3*i*(i - 2)*(i + 1)
Suppose 5*a - 10 = l, 4 = 5*l - 0*l + 2*a. Let h = -45 + 185/4. Let -1/2*r + l - h*r**2 = 0. Calculate r.
-2/5, 0
Let u = 15 + -12. Let -5*d**3 + 19*d**4 - 12*d**4 + d**2 - u*d**4 = 0. What is d?
0, 1/4, 1
Let i(s) be the second derivative of -5*s**4/12 - 25*s**3/6 + 62*s. Solve i(l) = 0 for l.
-5, 0
Let i(q) be the third derivative of q**6/360 + q**5/30 + q**4/6 + q**3/6 - 2*q**2. Let s(x) be the first derivative of i(x). Factor s(m).
(m + 2)**2
What is r in 0*r**3 - 76*r**4 + 72*r**4 - 4*r**5 + 0*r**3 = 0?
-1, 0
Let i(o) be the second derivative of 3*o + 1/6*o**4 + 1/30*o**5 + 0*o**3 + 0 - 3/2*o**2. Let l(a) be the first derivative of i(a). Factor l(d).
2*d*(d + 2)
Let x be 7/((-28)/(-20)) + 3/(-1). Determine a so that 2/11*a**3 - 4/11 - 6/11*a + 0*a**x = 0.
-1, 2
Let s(i) = -i**2 + 7*i. Let r be s(7). Let c be (-2)/(-10)*15/12. Factor r + c*z**2 - 1/4*z.
z*(z - 1)/4
Let n(a) = 4*a**2 - 4*a. Let c(s) = -13*s**2 + 12*s + 1. Let z(k) = 2*c(k) + 7*n(k). Suppose z(v) = 0. What is v?
1
Let d(w) = -3*w**5 - 18*w**4 - 24*w**3 - 6*w**2 - 3*w + 6. Let c(n) = 3*n**5 + 19*n**4 + 25*n**3 + 5*n**2 + 4*n - 8. Let g(o) = 3*c(o) + 4*d(o). Solve g(m) = 0.
-3, -1, 0
Factor 0*t + 3/4*t**3 + 3/2*t**2 + 0.
3*t**2*(t + 2)/4
Let q(v) be the third derivative of 3*v**6/80 + 17*v**5/40 + 21*v**4/16 - 9*v**3/4 - 31*v**2. Factor q(u).
3*(u + 3)**2*(3*u - 1)/2
Let l = 6 + -2. Factor -h**4 + 2*h - h + h**3 - 2*h**3 + l*h**2 - 3*h**2.
-h*(h - 1)*(h + 1)**2
Let -2/11*q**2 - 2/11*q**4 + 4/11*q**3 + 0*q + 0 = 0. Calculate q.
0, 1
Let k(r) be the third derivative of -r**7/4200 + r**5/600 + r**3/6 + 5*r**2. Let d(n) be the first derivative of k(n). Factor d(z).
-z*(z - 1)*(z + 1)/5
Let v(p) be the first derivative of -p**3/3 + p**2 - p + 5. Factor v(f).
-(f - 1)**2
Let c(t) be the third derivative of t**5/30 - t**3/3 - 3*t**2. Factor c(o).
2*(o - 1)*(o + 1)
Let q(y) = -y + 13. Let c be q(9). Factor -3*j**c - 3*j**3 + 6*j**2 - 12*j**4 + 10*j**3 + 2*j**3.
-3*j**2*(j - 1)*(5*j + 2)
Let p = -31 - -94/3. Let g(x) be the second derivative of 1/6*x**4 + 0*x**2 + 0 - 1/15*x**6 + 1/10*x**5 - p*x**3 + 3*x. Find j such that g(j) = 0.
-1, 0, 1
Let u(s) = -s**2 + 16*s + 59. Let o be u(19). Factor -14*m**3 - 176/7*m - 50*m**o - 24/7.
-2*(m + 3)*(7*m + 2)**2/7
Let q(u) be the second derivative of -u**5/70 + u**3/7 - 2*u**2/7 - 14*u. Factor q(f).
-2*(f - 1)**2*(f + 2)/7
Let i be (1 - 11/5)*-5. Find x, given that -2*x - 10*x**2 - 10*x**3 + i*x**2 - 12*x**2 + 4 = 0.
-1, 2/5
Let j(w) be the third derivative of w**6/30 - 2*w**4/3 - 14*w**2. Factor j(d).
4*d*(d - 2)*(d + 2)
Suppose 5*z + 0*s - 5*s = -5, 5*z - 25 = -s. Determine m so that 4 - 2*m**z - 2*m**3 - 4 = 0.
-1, 0
Let r(f) = -f**2 - 20*f. Let l be r(-20). Suppose 2/3*h - 2/3*h**2 + l = 0. What is h?
0, 1
Suppose -4/3*k**2 - 88/3*k - 484/3 = 0. What is k?
-11
Suppose -9*q + 24 = -3*q. Let r(n) be the first derivative of 0*n**2 + 0*n - 1/3*n**3 + 1/4*n**q + 2. Factor r(v).
v**2*(v - 1)
Suppose -2*t + 3 = -1. Factor -a**4 - 3*a + 3*a**3 + t + 2*a**2 + 0*a**2 - 3*a**2.
-(a - 2)*(a - 1)**2*(a + 1)
Let d(r) = r**2 - 5*r. Let v(q) = -11*q - 5*q - 2*q + 4*q**2 - 3*q - 1. Let y(g) = 9*d(g) - 2*v(g). Let y(l) = 0. Calculate l.
1, 2
Let q(w) = w**2 - 10*w. Let g be q(10). Suppose -5*l + 5 = -g. Determine y, given that -5/2*y - l - y**2 = 0.
-2, -1/2
Find g such that -1 - 52*g**3 - 2*g**5 + 1 + 62*g**3 - 8*g = 0.
-2, -1, 0, 1, 2
Let b(d) = 14*d + 6. Let x(l) = 9*l + 4. Let t(p) = 5*b(p) - 8*x(p). Let h be t(-2). Factor 3*v**2 - v**h + 3*v - v.
2*v*(v + 1)
Let t(s) be the second derivative of -s**4/48 - s**3/12 - s**2/8 + 6*s. Solve t(l) = 0 for l.
-1
Find a, given that 12 + 4*a**2 - 2*a**3 - 2*a - 12 = 0.
0, 1
Find u, given that 0 + 15/4*u**2 - 3*u**3 + 3/4*u**4 - 3/2*u = 0.
0, 1, 2
Let v(t) be the first derivative of -2*t**2 - 2/3*t**3 + 0*t - 3. Factor v(i).
-2*i*(i + 2)
Let q(z) = z**2 + 14*z - 23. Let y(r) = -14*r + 22. Let f(g) = 2*q(g) + 3*y(g). Factor f(j).
2*(j - 5)*(j - 2)
Let f(b) = -b**2 - b + 1. Let v(w) = -5*w**2 + 22*w - 46. Let c(o) = -2*f(o) + v(o). Suppose c(p) = 0. Calculate p.
4
Let p be 32/6*(-9)/6. Let g be 4*(1 - (-4)/p). Suppose -2/3*v**g - 2/3 - 4/3*v = 0. What is v?
-1
Let c(y) be the third derivative of -2/165*y**5 + 0*y - 3*y**2 + 1/660*y**6 + 0 - 2/33*y**3 + 5/132*y**4. Factor c(k).
2*(k - 2)*(k - 1)**2/11
Let b(p) = -p**3 + 2*p**2 + 5*p - 4. Let w be b(3). Let -3*o**5 - 21*o**3 + 2*o**2 + 3*o**w + 18*o**4 + 31*o**2 - 12*o - 18*o**3 = 0. Calculate o.
0, 1, 2
Let a(x) be the second derivative of -x**4/30 + 2*x**3/15 - x**2/5 + 2*x. Solve a(f) = 0 for f.
1
Let t(b) = b**3 - b + 1. Let o(g) = -9*g**3 + 3*g - 18. Let j(a) = o(a) + 12*t(a). Determine p so that j(p) = 0.
-1, 2
Let x = -1 + 2. Let n be ((-11)/88)/(x/(-4)). Solve 0*o - 1/2*o**3 + n*o**4 + 0*o**2 + 0 = 0.
0, 1
Let r(w) be the third derivative of -1/240*w**6 - 1/420*w**7 + 0*w + 0*w**3 - 4*w**2 + 0 + 1/120*w**5 + 1/48*w**4. Factor r(z).
-z*(z - 1)*(z + 1)**2/2
Let m(t) be the first derivative of t**4/20 - t**3/5 + 4*t/5 + 2. Factor m(j).
(j - 2)**2*(j + 1)/5
Let g(j) be the first derivative of -2/21*j**3 + 0*j**2 + 0*j + 1 + 1/14*j**4. Factor g(b).
2*b**2*(b - 1)/7
Let o(y) = 9*y**3 + 9*y**2 - 2*y - 16. Let m(n) = 0*n + n - 3*n**3 - 3*n**2 + 2 + 3. Let v(g) = 7*m(g) + 2*o(g). Factor v(b).
-3*(b - 1)*(b + 1)**2
Let o(f) = -8*f**4 + 15*f**3 - 2*f**2 - 18*f + 10. Let n(c) = 15*c**4 - 30*c**3 + 5*c**2 + 35*c - 20. Let s(q) = -3*n(q) - 5*o(q). Find i, given that s(i) = 0.
-1, 1, 2
Let n(r) = -r + 6. Let z be n(2). Let m(h) be the first derivative of -3/2*h**3 + 1/2*h**z - 1 + 3/2*h**2 - 1/2*h. Factor m(u).
(u - 1)**2*(4*u - 1)/2
Let s(p) be the third derivative of -p**7/210 + p**6/40 - p**5/20 + p**4/24 + p**2. Find u, given that s(u) = 0.
0, 1
Let l(p) be the third derivative of -p**9/1008 + p**8/280 - p**6/60 + p**5/40 + p**3/2 + p**2. Let j(c) be the first derivative of l(c). Factor j(r).
-3*r*(r - 1)**3*(r + 1)
Let j be 13/(83/(-5) - 2). Let p = -1/31 - j. Factor 2/3*q**2 + 0 - p*q.
2*q*(q - 1)/3
Let k(x) be the second derivative of -6561*x**7/7 - 1458*x**6 - 972*x**5 - 360*x**4 - 80*x**3 - 32*x**2/3 + 5*x. Let k(i) = 0. Calculate i.
-2/9
Let n be (2/(-12))/(3/(-9)). Let b(r) be the second derivative of r**2 + n*r**4 - r - r**3 + 0 - 1/10*r**5. Factor b(j).
-2*(j - 1)**3
Let a = -6 - -8. Let l(s) be the second derivative of 0*s**a + 4*s + 0 - 1/60*s**5 + 0*s**4 + 1/18*s**3. Determine v so that l(v) = 0.
-1, 0, 1
Let w(o) be the second derivative of o**7/126 + o**6/45 - o**5/30 - o**4/9 + o**3/18 + o**2/3 + 5*o. Determine a, given that w(a) = 0.
-2, -1, 1
Let p(w) = w. Let i be p(2). Let -9*y**3 - 5 - 21*y**i + 0 + 2 - 16*y + y = 0. What is y?
-1, -1/3
Let x be (-11)/5 - (-1)/5. Let u be ((-20)/(-75))/(x/(-5)). Factor 4/3*r**2 + 0 + u*r.
2*r*(2*r + 1)/3
Let w(o) be the third derivative of o**8/4200 - o**6/900 + o**3/6 - 3*o**2. Let g(h) be the first derivative of w(h). Determine r so that g(r) = 0.
-1, 0, 1
Let t be 1/10*20/40. Let q(n) be the first derivative of -1/8*n**4 + 1/2*n**2 - 2 + t*n**5 - 1/4*n**3 + n. Factor q(l).
(l - 2)**2*(l + 1)**2/4
Let v(p) = -10*p**2 - 9*p - 10. Let q(m) = -m**2 - m - 1. Let t(z) = -22*q(z) + 2*v(z). Factor t(n).
2*(n + 1)**2
Let f(a) = 2*a**3 - 2*a**2 + 2*a + 3. Let p(u) = 11*u**3 - 11*u**2 + 13*u + 18. Let h(y) = 34*f(y) - 6*p(y). Factor h(m).
2*(m - 3)*(m + 1)**2
Let a(r) be the first derivative of r**3/3 + 3*r**2/2 + 2*r + 19. Factor a(f).
(f + 1)*(f + 2)
Suppose 2*x - 6*x = -8. Let 252*z**5 + 12*z - 660*z**4 - z + 3*z + 616*z**3 + 18*z - 240*z**x = 0. What is z?
0, 2/7, 2/3, 1
Let r be (-1)/(8/6 - 2). Let l be 153/68*(15/9 - 1). Find p, given that -r*p**4 + 1/2*p - 1/2*p**3 + l*p**2 + 0 = 0.
-1, -1/3, 0, 1
Let z(q) be the second derivative of 0*q**5 + 1/11*q**2 + 0 + 1/165*q**6 + 0*q**3 - 1/33*q**4 - q. Factor z(o).
2*(o - 1)**2*(o + 1)**2/11
Suppose -4*o + 23 = -25. Let f(x) = -9*x**2 + 5*x. Let m(u) = 22*u**2 - 12*u. Let d(a) = o*f(a) + 5*m(a). Factor d(l).
2*l**2
Factor -9*a**3 + 4977*a**2 - 2*a**5 + 2*a**5 + 9*a**4 - 4974*a**2 - 3*a**5.
-3*a**2*(