1/300*g**5 - 1/15*g**3. Suppose i(x) = 0. Calculate x.
-2, -1
Factor 0*a**2 + 2/9*a**3 + 0*a + 0.
2*a**3/9
Let n be 5/1 + (-2)/1. Suppose -4*c = 3*o + 12, -n*o - 3 + 0 = c. Solve -2/5*j**3 - 2/5*j**4 + 0 + 2/5*j**5 + 2/5*j**2 + o*j = 0.
-1, 0, 1
Let r(p) be the second derivative of p**5/5 + p**4/4 - p**3 + 5*p**2/2 - 2*p. Let m(t) = -3*t**3 - 2*t**2 + 5*t - 4. Let y(g) = 5*m(g) + 4*r(g). Factor y(a).
a*(a + 1)**2
Let g(b) be the third derivative of -b**7/1260 - b**6/90 - b**5/15 - b**4/8 + 3*b**2. Let c(q) be the second derivative of g(q). Let c(k) = 0. Calculate k.
-2
Suppose s = -3*s + 12. Factor m - m**s - 2*m + 2*m.
-m*(m - 1)*(m + 1)
Suppose 3*w - v = 4, 5*w - v = -4*v + 16. Determine u so that -2/5*u - 1/5*u**w + 0 = 0.
-2, 0
Let w(k) be the first derivative of k**2 + 0*k + 1 + 0*k**3 - 1/60*k**5 + 0*k**4. Let d(c) be the second derivative of w(c). Find j such that d(j) = 0.
0
Let j(x) = -x**2 - 11*x + 10. Let a be j(-12). Let r be -1 + (a - (-22)/6). Determine z so that 1/3*z**2 + 0*z - r*z**3 + 0 + 1/3*z**4 = 0.
0, 1
Find v such that -v - 4*v**4 + 2*v**3 + v**2 + v**2 + 2*v**4 - v = 0.
-1, 0, 1
Let z(g) be the third derivative of -1/300*g**5 - 1/600*g**6 + 0*g**4 + 3*g**2 + 0 + 0*g + 0*g**3. Solve z(f) = 0.
-1, 0
Determine d, given that 9/7*d**3 + 0*d - 6/7*d**2 + 0 - 3/7*d**4 = 0.
0, 1, 2
Let l(y) = -19*y**3 + 49*y**2 - 41*y + 11. Let f(c) = 9*c**3 - 24*c**2 + 21*c - 6. Let x(d) = -5*f(d) - 3*l(d). Suppose x(p) = 0. What is p?
1/4, 1
Suppose -23*j = -18*j. Factor j - 1/2*d - 1/2*d**4 - 3/2*d**3 - 3/2*d**2.
-d*(d + 1)**3/2
Let q be (8 - (-102)/(-15))/(6/20). Solve -3/2*r**2 + 3/2*r**3 - 3/2*r + 0 + 3/2*r**q = 0.
-1, 0, 1
Suppose -2*v - 5*w = -2*w - 3, 0 = -3*w - 3. Let d(j) be the first derivative of -2/3*j**5 + 0*j**v + 1/3*j**4 + 0*j + 0*j**2 - 7/9*j**6 - 2. Factor d(f).
-2*f**3*(f + 1)*(7*f - 2)/3
Let q(l) be the second derivative of -1/6*l**3 + 4*l + 1/120*l**6 + 1/8*l**4 + 0 + 1/8*l**2 - 1/20*l**5. Let q(r) = 0. Calculate r.
1
Let b = 0 - -1. Factor z**3 + b - 3*z + 2 - 1.
(z - 1)**2*(z + 2)
Let u(q) be the third derivative of -q**9/7560 + q**8/1680 - q**6/180 + q**5/60 + q**4/8 + q**2. Let s(v) be the second derivative of u(v). Factor s(f).
-2*(f - 1)**3*(f + 1)
Let g(a) be the third derivative of -a**8/336 + a**6/40 + a**5/30 - 5*a**2. Solve g(h) = 0 for h.
-1, 0, 2
Let z be (-8)/(-32) - 28/(-16). Factor -3/4 + 3*k**3 + 9/2*k - 27/4*k**z.
3*(k - 1)**2*(4*k - 1)/4
Let j(l) be the first derivative of l**7/21 - l**6/15 - 3*l + 1. Let n(x) be the first derivative of j(x). Factor n(y).
2*y**4*(y - 1)
Factor 0 + 2/7*m - 2/7*m**2.
-2*m*(m - 1)/7
Let o be (1/(-6))/(14/78). Let a = o - -10/7. Suppose 0 + a*y**3 + y - 3/2*y**2 = 0. What is y?
0, 1, 2
Let -14/9*q**2 - 4/9*q - 8/9*q**3 + 2/9 = 0. Calculate q.
-1, 1/4
Let q = 33581/265 + 354/53. Let d = q - 133. Determine n, given that -d + 0*n + 2/5*n**2 = 0.
-1, 1
Let i(k) be the third derivative of 0 + 3*k**2 + 4/15*k**3 - 1/150*k**6 - 1/50*k**5 + 1/525*k**7 + 0*k + 1/15*k**4. Factor i(v).
2*(v - 2)**2*(v + 1)**2/5
Let n(v) be the third derivative of -1/36*v**4 + 0*v - 1/630*v**7 + 0*v**3 - 5*v**2 - 1/90*v**6 - 1/36*v**5 + 0. Factor n(s).
-s*(s + 1)**2*(s + 2)/3
Determine u, given that 1/2*u**5 + 8 + 10*u - 4*u**2 + u**4 - 11/2*u**3 = 0.
-4, -1, 2
Suppose 14*t - 16 = 10*t. Factor -5*n**t - 4*n**4 - 4*n**2 - n**5 + 3*n**4 - n + 2*n**4 - 6*n**3.
-n*(n + 1)**4
Let z(w) be the third derivative of -1/12*w**4 - 1/168*w**8 + 0*w**3 + 0 + 1/30*w**6 + 5*w**2 + 0*w**7 + 0*w + 0*w**5. Factor z(t).
-2*t*(t - 1)**2*(t + 1)**2
Suppose 3*p = -0*p + 6. Find y such that -8*y**2 + 2*y**4 - 3*y**3 - y**5 + 0*y**2 + 5*y**3 - 2 + 0*y**p + 7*y = 0.
-2, 1
Let u(t) be the first derivative of -4*t**3/15 - 2*t**2/5 + 8*t/5 - 17. Factor u(o).
-4*(o - 1)*(o + 2)/5
Let 3/8*s**4 - 1/4*s**2 - 1/8*s**5 - 1/8 - 1/4*s**3 + 3/8*s = 0. Calculate s.
-1, 1
Let h(p) be the third derivative of -1/33*p**3 + 0*p + 0 - 1/55*p**5 + 1/165*p**6 + p**2 + 1/33*p**4 - 1/1155*p**7. Factor h(j).
-2*(j - 1)**4/11
Let h(w) be the first derivative of w**9/6048 - w**8/1120 + w**7/560 - w**6/720 + w**3 - 2. Let z(o) be the third derivative of h(o). Factor z(b).
b**2*(b - 1)**3/2
Let s(q) = -q**3 + 5*q**2 - 3*q - 4. Let z be s(3). Solve -1 + 3*f - 9/4*f**4 + 7/4*f**z + 13/4*f**2 - 19/4*f**3 = 0.
-1, 2/7, 1, 2
Suppose -5*l**4 + 3*l**4 - l**4 - 48 - 59*l**2 - 24*l**3 - 13*l**2 - 96*l = 0. What is l?
-2
Factor 9*m + 10*m**3 - 22*m**3 + 2*m**5 + m**5 + 6 - 6*m**2.
3*(m - 2)*(m - 1)*(m + 1)**3
Let c(f) be the first derivative of -f**6/24 - 3*f**5/20 - 3*f**4/16 - f**3/12 - 1. Solve c(r) = 0.
-1, 0
Let g(i) be the third derivative of 0 - i**2 + 0*i + 2/15*i**3 - 1/60*i**4 - 1/150*i**5. Solve g(u) = 0.
-2, 1
Let v(c) be the third derivative of c**5/60 - c**4/8 - 2*c**2. Let y(h) = -2*h**2 + 6*h + 1. Let r(f) = -5*v(f) - 2*y(f). Let r(k) = 0. What is k?
1, 2
Let s = 1018/319 + -24/29. Find k, given that -4/11*k**4 - 56/11*k - s*k**3 - 16/11 - 60/11*k**2 = 0.
-2, -1/2
Factor -8/5*x**4 - 2/5*x - 8/5*x**2 + 0 - 2/5*x**5 - 12/5*x**3.
-2*x*(x + 1)**4/5
Let f be -6*2/8*4/(-24). Solve f*y**2 + 0 - 1/2*y = 0 for y.
0, 2
Let w be -22*(-11)/48 + -4. Let p(x) be the first derivative of 5/18*x**3 - 4/3*x**2 + w*x**4 + 3 + 2/3*x. Suppose p(l) = 0. What is l?
-1, 2/5
Factor -38*q - 5*q**2 - 45 + 13*q - 25*q.
-5*(q + 1)*(q + 9)
Suppose 6 = 3*h - 3. Suppose -5*l + 11 = -4. Factor -s**2 + h*s - l*s + s.
-s*(s - 1)
Let j(b) be the second derivative of b**4/96 + b**3/24 + b**2/16 - 2*b. Solve j(d) = 0 for d.
-1
Let c(x) be the first derivative of -16*x**6/3 - 24*x**5/5 + 79*x**4/8 + 47*x**3/6 - 15*x**2/4 + x/2 - 11. Find g, given that c(g) = 0.
-1, 1/8, 1
Suppose 3*f - 5*g = 5, -5*f - 4*g + 31 = -g. Factor 0*a**3 + 0*a**3 + f*a**3 + 24*a - 15*a**2 - 12 - 2*a**3.
3*(a - 2)**2*(a - 1)
Let g = 4 - 2. Factor -g*f - 4 + 0*f - 2*f - f**2.
-(f + 2)**2
Let o(w) be the third derivative of -w**5/60 + w**4/2 - 6*w**3 + 23*w**2. Factor o(b).
-(b - 6)**2
Let i(q) be the third derivative of -q**8/84 - 2*q**7/15 - 19*q**6/30 - 5*q**5/3 - 8*q**4/3 - 8*q**3/3 + 10*q**2. Factor i(u).
-4*(u + 1)**3*(u + 2)**2
Suppose -3*q = -2 - 7. Suppose 0 = 5*l + 20, 0 = -0*c - 2*c - 5*l - 16. Factor -2 + 2*u**3 - q*u**2 - 5*u**3 + 5*u**c + u**3 + 2*u.
-2*(u - 1)**2*(u + 1)
Let x(o) = o**5 - o**2. Let k(y) = -13*y**5 + 16*y**4 - 25*y**3 + 28*y**2 - 7*y + 1. Let r(u) = 4*k(u) + 36*x(u). Suppose r(q) = 0. Calculate q.
1/2, 1
Let z(h) = h**3 + 6*h**2 - 2*h - 4. Let j be z(-6). Suppose 0*q - 4*q = -j. Determine c, given that 6*c**3 + 0*c + q*c**3 - 2*c + 6*c**2 = 0.
-1, 0, 1/4
Suppose -9*w - 36*w**3 + 80*w**3 - 41*w**3 + 6 = 0. Calculate w.
-2, 1
Let q(i) be the third derivative of -i**6/360 - 2*i**5/45 - i**4/6 + 12*i**2 - 2. What is n in q(n) = 0?
-6, -2, 0
Suppose j - 6*j = 3*b - 1, -4*b = 4*j + 4. Let l be (-3 + 5)*(-6)/(-4). Factor -d**2 - j + 2*d**l - 4*d**3 - 6*d - 5*d**2.
-2*(d + 1)**3
Suppose 0 = -5*v - 5*b + 15, -v + 6*b - 3*b = -3. Suppose -14*z**v - 12*z**4 + 2*z**4 + 17*z**2 - 21*z**2 = 0. What is z?
-1, -2/5, 0
Let m(u) be the third derivative of 0*u - 1/18*u**5 - 1/180*u**6 + 0 - 4/9*u**3 - 2/9*u**4 + u**2. Factor m(j).
-2*(j + 1)*(j + 2)**2/3
Factor -2 - x**2 + 4*x + 0*x**2 - 7 + 2*x.
-(x - 3)**2
Solve -3 + b - 4*b**3 - 21*b - 2 - 3 - 16*b**2 = 0 for b.
-2, -1
Determine o, given that 36/5*o - 8*o**2 + 48/5*o**4 + 16/5 + 16/5*o**5 - 76/5*o**3 = 0.
-4, -1/2, 1
Let w be ((-3)/(-9))/(2/30). What is n in -38*n**2 + 185*n**2 + 42*n + 8 - w = 0?
-1/7
Let g be 138*(-6)/(-1080) - (-1)/(-10). Let g - w - 5/3*w**2 = 0. What is w?
-1, 2/5
Let n(m) be the third derivative of 0*m + 3*m**2 - 1/150*m**5 + 1/15*m**3 + 0*m**4 + 0. Suppose n(l) = 0. What is l?
-1, 1
Let t = -15 - -20. Let v(a) = -a**4 - 15*a**3 - 9*a**2 + 8*a + 8. Let i(g) = -3*g**4 - 60*g**3 - 36*g**2 + 33*g + 33. Let z(j) = t*i(j) - 21*v(j). Factor z(m).
3*(m + 1)**3*(2*m - 1)
Suppose -2*v = -j, 3*j - 7*v = -2*v + 1. Factor -1/3 - 2/3*i - 1/3*i**j.
-(i + 1)**2/3
Let p(n) be the second derivative of n**6/40 - 3*n**5/40 - n**4/4 + n**3 - 58*n. Let p(h) = 0. What is h?
-2, 0, 2
What is n in 0 + n**3 - 1/4*n**4 + 1/2*n - 5/4*n**2 = 0?
0, 1, 2
Let -18 + 13*a**3 - a**4 + 2*a**4 - 33*a + a**2 - 4*a**4 = 0. Calculate a.
-1, -2/3, 3
Solve 0*x + 