 + 0 + 2*m**3 - 2*m**2 = 0. What is m?
0, 1
Let s(r) = -3*r**3 + 5*r**2 - r + 3. Let g(o) = o**3 - o**2 - o - 1. Let v(p) = -2*g(p) - s(p). Let v(z) = 0. What is z?
1
Let u(s) be the second derivative of -s**4/4 - 2*s**3 - 6*s**2 - s. Find w, given that u(w) = 0.
-2
Suppose 0 = -3*r + 12 - 6. Let a(n) be the first derivative of 0*n - 2 + 1/4*n**r - 1/8*n**4 + 0*n**3. Factor a(o).
-o*(o - 1)*(o + 1)/2
Let a be -9*(120/(-54) - -2). Let q(z) be the first derivative of 0*z - 4 - 1/3*z**a + 2/9*z**3. Factor q(f).
2*f*(f - 1)/3
Let j(m) = -m**3 - m**2 + 7*m + 3. Let f be j(-3). Factor 5/4*h**5 + 0*h + 0*h**2 + f + 3*h**4 + h**3.
h**3*(h + 2)*(5*h + 2)/4
Suppose 4*g = -4*b, g + 3*b = 6*g - 24. Let y(u) be the third derivative of -5/12*u**4 + 2/3*u**g + 0*u + 1/10*u**5 + 0 - 3*u**2. Suppose y(v) = 0. Calculate v.
2/3, 1
Let b(x) = -x - 10. Let u be b(-13). Find t such that 6*t**3 - 4*t**5 - t**u - 8*t**4 - 9*t**3 = 0.
-1, 0
Let o(i) = -8*i**3 + 2*i**2 - 14*i. Let p(h) = -3*h**2 - 6*h**2 + 31*h + 15*h**3 + 4*h**2 - 4*h. Let u(f) = -11*o(f) - 6*p(f). Solve u(k) = 0 for k.
0, 2
Let p(s) be the third derivative of -s**9/37800 - s**8/16800 + s**4/24 + 3*s**2. Let f(z) be the second derivative of p(z). Factor f(u).
-2*u**3*(u + 1)/5
Let q(o) = 96*o**4 - 236*o**2 + 164*o - 56. Let h(m) = 19*m**4 - 47*m**2 + 33*m - 11. Let x(t) = 16*h(t) - 3*q(t). What is y in x(y) = 0?
-2, 1/2, 1
Let p be -3 - (-3 - (-3)/(-36)). Let h(x) be the first derivative of -1/9*x**3 + 1/6*x**2 + 0*x + 1 - p*x**4 + 1/15*x**5. Factor h(c).
c*(c - 1)**2*(c + 1)/3
Let j be 10/(0 - (-2 + 0)). Suppose 0*x - x = -j. Determine z, given that -2*z - 2*z + 3*z**2 - x*z**2 = 0.
-2, 0
Let s(n) be the third derivative of n**5/150 - 7*n**4/30 + 49*n**3/15 - 22*n**2 + 2. Find z, given that s(z) = 0.
7
Let d = -808/9 + 90. Factor 4/9*y + d*y**2 + 0.
2*y*(y + 2)/9
Let t = 14 + -9. What is o in 6 - 2 + 5*o - t*o + 14*o**3 + 6*o - 24*o**2 = 0?
-2/7, 1
Suppose -3*o + 5*c - 6*c = 36, 0 = 4*o - c + 48. Let r be (-3)/o - 11/(-4). Determine g, given that 0*g**2 - 2*g + 4*g**2 + r*g = 0.
-1/4, 0
Let o(c) be the third derivative of -c**5/270 + c**4/108 + 3*c**2. Suppose o(r) = 0. Calculate r.
0, 1
Let a(g) be the second derivative of -3/20*g**5 + 0*g**2 + 1/2*g**3 + 1/10*g**6 - 2*g + 0 - 1/4*g**4. Let a(w) = 0. What is w?
-1, 0, 1
Suppose -4*g + 5*x = -57, -13 = -5*g - 5*x + 47. Suppose 2*q - 4*f = 3 - g, -q - 2*f + 11 = 0. Determine a so that 0*a**5 - 5*a**3 + 2*a**3 + 2*a**q + a**5 = 0.
-1, 0, 1
Suppose 3*o = -2*o - 15, -3*g - 4*o = 0. Find j such that 0 + 2/5*j**2 - 2/5*j - 2/5*j**g + 2/5*j**3 = 0.
-1, 0, 1
Let u(j) be the second derivative of -j**6/120 - j**5/30 + j**2 + 4*j. Let b(a) be the first derivative of u(a). Determine h so that b(h) = 0.
-2, 0
Let k(b) be the second derivative of b**4/24 - b**3/4 - 7*b. Find n such that k(n) = 0.
0, 3
Factor -7*b + 7*b**3 + 0 + 3 + 2*b**4 - b - 7 + 3*b**2.
(b - 1)*(b + 2)**2*(2*b + 1)
Factor -2*d**4 - 6*d**4 + 4*d**4.
-4*d**4
Let o be 9 + (4/(-2))/2. Let d be 10*(o/(-5) + 2). Factor 0*u + 9/2*u**d - 3/2*u**5 + 0 + 0*u**3 - 6*u**2.
-3*u**2*(u - 2)**2*(u + 1)/2
Solve -12 - 27/4*n**2 + 18*n + 3/4*n**3 = 0 for n.
1, 4
Find o such that -2/5*o**2 - 4/5*o + 0 + 2/5*o**3 = 0.
-1, 0, 2
Let y = 4 + -1. Let d(m) be the first derivative of 1/2*m**4 - m**2 + 2*m - 1 - 2/3*m**y. Suppose d(b) = 0. Calculate b.
-1, 1
Let l(k) = k + 2. Let f be l(2). Suppose -3*m + m - 13 = -5*b, -3*b = f*m - 13. Find c, given that -c**b + c - 3*c**4 + 6*c**4 + 3*c**2 + 4*c**3 - 2*c**4 = 0.
-1, 0
Let g(o) be the second derivative of 1/30*o**6 - 1/10*o**5 + 1/6*o**3 - 3*o + 1/2*o**2 + 1/42*o**7 - 1/6*o**4 + 0. Factor g(p).
(p - 1)**2*(p + 1)**3
Let 1/4*q**4 + 8*q + 4 + 2*q**3 + 6*q**2 = 0. What is q?
-2
Let r(x) be the first derivative of x**3 + 9/2*x**2 + 6*x - 1. Factor r(y).
3*(y + 1)*(y + 2)
Let d = -28 + 28. Let v(i) be the third derivative of 0*i**3 + 0*i**4 + i**2 + 1/315*i**7 + 1/45*i**5 + 0 + 1/60*i**6 + d*i. Factor v(r).
2*r**2*(r + 1)*(r + 2)/3
What is a in 2/3*a**5 - 8/3*a**2 + 0 + 2/3*a - 8/3*a**4 + 4*a**3 = 0?
0, 1
Let d**2 - 7/5*d - 1/5*d**3 + 3/5 = 0. Calculate d.
1, 3
Let f(n) be the third derivative of n**6/180 - n**5/60 - n**3/3 - n**2. Let s(i) be the first derivative of f(i). Find d, given that s(d) = 0.
0, 1
Let r(o) be the first derivative of -2*o**3 + o**2 - 16. Let r(h) = 0. What is h?
0, 1/3
Let c(i) be the first derivative of 0*i - 1/10*i**5 - 2 + 0*i**3 + 1/8*i**4 + 0*i**2. Factor c(k).
-k**3*(k - 1)/2
Let q(s) = -2*s**2 - 4*s + 2. Let t(l) = -l**3 - l. Let i(h) = q(h) - 2*t(h). Find k such that i(k) = 0.
-1, 1
Let 14 - j - j**2 - 4*j - 10 - 8 = 0. Calculate j.
-4, -1
Factor -2/11*d**2 + 0 + 1/11*d**4 + 0*d - 1/11*d**3.
d**2*(d - 2)*(d + 1)/11
Let u = 9 + 19. Suppose 5*i + 5 = 5*r, 0 = -2*i + 3*r - 7*r + u. Let -4/3*b**2 + 2/3*b**i + 2/3*b**5 - 4/3*b**3 + 2/3*b + 2/3 = 0. Calculate b.
-1, 1
Suppose 6 - 24*f + 52 + 3*f**2 + 14 - f**2 = 0. What is f?
6
Let l(g) be the third derivative of g**6/40 - g**5/10 + g**4/8 - 13*g**2. Let l(f) = 0. What is f?
0, 1
Let y = -13 + 16. Let n(o) be the third derivative of 0*o + 0 + 2*o**2 + 0*o**y - 1/105*o**7 + 0*o**4 + 1/180*o**6 + 1/45*o**5. Factor n(p).
-2*p**2*(p - 1)*(3*p + 2)/3
Let l(d) = -56*d**5 + 77*d**4 - 16*d**3 - 5*d + 5. Let w(r) = 364*r**5 - 500*r**4 + 104*r**3 + 32*r - 32. Let g(j) = 32*l(j) + 5*w(j). Let g(x) = 0. What is x?
0, 2/7, 1
Let s(j) be the third derivative of j**7/42 + j**6/12 + j**5/12 + 17*j**2. Find a, given that s(a) = 0.
-1, 0
Let m be 14/35 + (-98)/(-5). Suppose m = 5*q - 5*i, -q - 2*i + 2 - 4 = 0. Factor -1/3*n**5 + 0*n**q - 1/3*n**3 + 0*n - 2/3*n**4 + 0.
-n**3*(n + 1)**2/3
Let u(k) = k**2 + k + 2. Let a be ((-5)/10)/((-1)/(-4)). Let r be u(a). Solve -q**r + 0*q**4 - 3*q**3 + 2*q**3 = 0 for q.
-1, 0
Suppose 2*t + 0*t + 12 = 0. Let m be 2 + 4/((-8)/t). Factor z**2 + 2*z**2 - 5 + m - 6 + 3*z.
3*(z - 1)*(z + 2)
Let t be (51*(-12)/90 - -5) + 3. Factor -3/5*m + t - 3/5*m**2.
-3*(m - 1)*(m + 2)/5
Factor -21*d + 8*d + 3*d**2 + 7*d.
3*d*(d - 2)
Let d(n) be the second derivative of n**4/6 - n**3/3 + 8*n. Factor d(u).
2*u*(u - 1)
Let v be (-3)/2*(-1)/2. Factor 1/2*g - 7/4*g**4 + 3/4*g**2 - 3/4*g**3 - v*g**5 + 0.
-g*(g + 1)**3*(3*g - 2)/4
Let o(z) = 0*z - z + 3*z**2 + z**2 - z**3 - 4. Let r be o(3). Factor -1/2 + 5/4*b + 1/4*b**3 - b**r.
(b - 2)*(b - 1)**2/4
Suppose 309 = -7*k + 8*k. Let w = k + -1539/5. Factor 2/5*t**2 + 0 + 6/5*t**3 + 0*t + w*t**4 + 2/5*t**5.
2*t**2*(t + 1)**3/5
Let d(o) = -3*o + 19. Let t(i) = i - 1. Let j(n) = d(n) + 4*t(n). Let h be j(-12). Factor 0*p - 2/7*p**4 - 4/7*p**h - 2/7*p**2 + 0.
-2*p**2*(p + 1)**2/7
Let q(v) be the second derivative of v**10/5040 + 11*v**9/30240 + v**8/6720 - v**4/3 + 6*v. Let d(c) be the third derivative of q(c). Let d(a) = 0. What is a?
-2/3, -1/4, 0
Let p(h) be the first derivative of -h**6/24 + h**5/10 - h**3/6 + h**2/8 + 6. Factor p(i).
-i*(i - 1)**3*(i + 1)/4
Let l(m) be the third derivative of 0*m + 1/20*m**5 - 4*m**2 - 1/2*m**3 + 0 + 0*m**4. Solve l(y) = 0 for y.
-1, 1
Let s(i) be the second derivative of -i**5/2 - 11*i**4/6 - 7*i**3/3 - i**2 + 17*i. Let s(l) = 0. What is l?
-1, -1/5
Let -1/3*u**3 + 0*u + 0*u**2 + 0 + 1/3*u**4 = 0. What is u?
0, 1
Suppose 8 = 3*c - c. Factor -3*w - 26*w**3 + 24*w**2 - 5*w + 12*w**c - 3*w**5 + w**5.
-2*w*(w - 2)**2*(w - 1)**2
Suppose -2*z + 3 = -j + 2, 4*j = -12. Let r = 5 + z. Factor 1/2 - 11/4*c**2 + 9/4*c**r + 7/4*c**3 - 7/4*c.
(c - 1)*(c + 1)**2*(9*c - 2)/4
Let x(w) = -2*w**3 - w**2 - 7*w - 5. Let b(h) = 2*h**3 + 2*h**2 + 8*h + 6. Let f(c) = -5*b(c) - 6*x(c). Factor f(d).
2*d*(d - 1)**2
Let u = 5846/27 - 433/2. Let v(k) be the second derivative of 0*k**2 - 1/27*k**3 + 1/135*k**6 + 0 + 1/90*k**5 - 2*k - u*k**4. Factor v(h).
2*h*(h - 1)*(h + 1)**2/9
Find f, given that -12*f**4 - 8*f + 10*f**2 + 12*f**2 - 10 + 2 - 6*f**4 + 12*f**3 = 0.
-2/3, 1
Let -i**5 + 5*i**3 - 37*i - i**2 + 33*i + i**2 = 0. Calculate i.
-2, -1, 0, 1, 2
Let k be 28/6 - 2/(-6). Suppose -2*n + k + 3 = 0. Solve 3*c**3 - c**3 - 6*c**3 - 2*c**2 - 2*c**n = 0.
-1, 0
Factor -11*j**4 + j**2 + 7*j**4 + 7*j**2 - 4*j**3.
-4*j**2*(j - 1)*(j + 2)
Let x(n) be the third derivative of n**2 + 0 - 1/420*n**6 + 1/210*n**5 + 0*n**3 + 1/1176*n**8 + 0*n + 0*n**4 - 1/735*n*