 + 1)*(u + 2)
Let n(c) = c**2 + c - 1. Let g be n(-4). Let j(d) = 15*d**2 - 3*d + 11. Let q(f) = -8*f**2 + 2*f - 6. Let w(y) = g*q(y) + 6*j(y). Factor w(m).
2*m*(m + 2)
Factor -41*s + 24*s - 2*s**3 + 17*s + 2*s**2.
-2*s**2*(s - 1)
Factor -2/7*v**2 + 2/7*v**3 - 2/7*v + 2/7.
2*(v - 1)**2*(v + 1)/7
Find g, given that 4*g**5 - 1 - 4*g + 18*g - 7*g - 16*g**4 + 25*g**3 - 19*g**2 = 0.
1/2, 1
Factor 0 + 3/2*c**2 + 3/2*c**4 + 0*c + 3*c**3.
3*c**2*(c + 1)**2/2
Suppose 0 = -3*j + 9 - 9. Suppose -1/4*z**2 + 1/4 + j*z = 0. Calculate z.
-1, 1
Let x(c) be the first derivative of 4*c**5/5 + 5*c**4 + 12*c**3 + 14*c**2 + 8*c + 31. Factor x(m).
4*(m + 1)**3*(m + 2)
Suppose -4 - 2 = -2*z. Find n, given that -5/4*n**2 + 0 - n**z - 1/4*n**4 - 1/2*n = 0.
-2, -1, 0
What is v in -4/3*v - 1/3*v**2 - 1 = 0?
-3, -1
Let q(z) = -4*z**2 - 12*z**2 + 21*z**3 + 3*z**2 + 4*z - 13*z**4 + z**5. Let p(m) = -13*m**4 + 22*m**3 - 14*m**2 + 5*m. Let i(w) = -2*p(w) + 3*q(w). Factor i(o).
o*(o - 2)*(o - 1)**2*(3*o - 1)
Factor 12/11*l**3 - 20/11*l + 6/11*l**2 + 0 + 2/11*l**4.
2*l*(l - 1)*(l + 2)*(l + 5)/11
Let f = 39/4 - 113/12. Suppose 0 = 2*y - 2*c + 6, y - 3*c + 9 = -y. Find v such that -1/3*v + y - f*v**2 = 0.
-1, 0
Let b(n) be the third derivative of 2/27*n**3 + 1/108*n**4 + n**2 + 0 - 1/54*n**5 + 0*n + 1/270*n**6. Factor b(j).
2*(j - 2)*(j - 1)*(2*j + 1)/9
Suppose -5*q - 5*d = -10, 4*q + 3*d - 8 = 5. Suppose 0*c = -q*c. Factor 0 - 1/4*p**3 + c*p + 1/4*p**2.
-p**2*(p - 1)/4
Let i(o) be the first derivative of 4*o**3/3 + 8*o**2 - 9. Factor i(z).
4*z*(z + 4)
Factor -11/3*v**2 + 28/9*v**3 - 5/9*v**4 - 2*v + 0.
-v*(v - 3)**2*(5*v + 2)/9
Solve -2/13*u**2 - 8/13 + 8/13*u = 0 for u.
2
Solve -8/19*f**2 + 8/19*f - 6/19*f**3 + 0 = 0.
-2, 0, 2/3
Let y be -2 - (-3)/(6/28). Let p be 10/y + (-2)/6. Factor -p*j**3 - 1/2*j**4 + 1/2*j + 1/2*j**2 + 0.
-j*(j - 1)*(j + 1)**2/2
Let x(s) = 490*s**2 + 1525*s + 505. Let u(z) = -35*z**2 - 109*z - 36. Let y(l) = 85*u(l) + 6*x(l). Solve y(c) = 0.
-3, -2/7
Let h(x) be the third derivative of x**6/200 + x**5/25 + 67*x**2. What is p in h(p) = 0?
-4, 0
Factor 18*u**2 - 29*u**2 + 15*u**2.
4*u**2
Let f(c) = c. Let v be f(2). Suppose -3*x + 4*k + 12 = 0, 3*k = x - 4 - 0. Suppose v*p + 0*p - 2*p**3 + x*p**2 - 2*p**2 - 2 = 0. What is p?
-1, 1
Let w be (-45)/(-5) + (-2 + -2)/1. Suppose 0*u + 0 + 4/7*u**w + 20/7*u**3 - 16/7*u**4 - 8/7*u**2 = 0. Calculate u.
0, 1, 2
Let k(g) = -g**4 - 3*g**3 + 2*g**2 + 2*g. Let b(m) = -2*m**4 - 7*m**3 + 4*m**2 + 5*m. Let o(w) = -4*b(w) + 10*k(w). Let o(l) = 0. Calculate l.
-2, 0, 1
Let b = 2436 - 7234/3. Let i = b - 24. Factor i*u**4 + 0 + 0*u**3 + 4/3*u - 2*u**2.
2*u*(u - 1)**2*(u + 2)/3
Let i(z) = z**3 + 1. Let j(a) = -15*a**3 - 9*a**2 - 3*a - 9. Suppose 44 = -3*c - 10. Let o(r) = c*i(r) - j(r). Factor o(d).
-3*(d - 3)*(d - 1)*(d + 1)
Let r be -1*77/(-105) - 4/10. Let c(f) be the first derivative of 0*f**3 - 2 - r*f**2 + 1/18*f**4 + 4/9*f. Let c(m) = 0. What is m?
-2, 1
Let n(t) be the first derivative of 1 - 3*t**2 - 3/5*t**5 + 3/2*t**4 + 0*t + t**3. Factor n(h).
-3*h*(h - 2)*(h - 1)*(h + 1)
Suppose -5*l = 4*p - 0 - 31, 0 = -3*l + 4*p - 7. Factor 4*q**2 + q**5 + 6*q**l + 4*q**4 - q - 2*q + 4*q.
q*(q + 1)**4
Let p(z) be the first derivative of z**5/5 - z**3 + z**2 - 2. Factor p(y).
y*(y - 1)**2*(y + 2)
Let i(x) = -37*x**3 - 18*x**2 + 19*x - 7. Let f = 3 + 1. Let d(v) = 12*v**3 + 6*v**2 - 6*v + 2. Let n(b) = f*i(b) + 14*d(b). Factor n(q).
4*q*(q + 1)*(5*q - 2)
Suppose 2/9*f**2 + 2/9*f + 0 = 0. What is f?
-1, 0
Let d be -6 + -2 + -2 + 12. Let w**d + 0 - 1/2*w**3 - 1/2*w = 0. What is w?
0, 1
Let c(w) be the first derivative of -9*w**4/4 - 4*w**3 + 15*w**2/2 + 6*w + 2. Find j such that c(j) = 0.
-2, -1/3, 1
Let m(x) = -x**2 + x + 1. Let o(f) = f**2 - 3*f - 1. Let a(u) = 3*m(u) + o(u). Let a(y) = 0. Calculate y.
-1, 1
Let n = 5512/63 + -682/9. Let w = 386/21 - n. Suppose -w*k + 4/3 + 3*k**4 - 10*k**3 + 37/3*k**2 = 0. Calculate k.
2/3, 1
Suppose -5*i = i - 2*i. Let -1/3*m**4 + i - 1/3*m**2 + 0*m - 2/3*m**3 = 0. Calculate m.
-1, 0
Let v(r) be the third derivative of -r**2 - 1/168*r**8 + 0*r**3 + 0*r**7 + 0*r**4 + 0*r**6 + 0*r + 0*r**5 + 0. Determine f so that v(f) = 0.
0
Let d = 773 + -770. Factor 6/7*v - 2/7 + 2/7*v**d - 6/7*v**2.
2*(v - 1)**3/7
Let p be (16/(-12))/((-4)/6). Suppose -5*s + 0*s = 5*d + 10, 5*d + 31 = p*s. Solve 2/5*w + 0*w**4 + 0*w**2 + 2/5*w**5 - 4/5*w**s + 0 = 0.
-1, 0, 1
Let q(p) be the third derivative of 0*p**3 - 1/135*p**7 + 0 - 1/54*p**4 + 1/90*p**5 + 0*p + 8*p**2 + 1/180*p**6 + 1/504*p**8. Solve q(h) = 0.
-2/3, 0, 1
Let z(n) be the second derivative of -3*n**5/20 - n**4/4 - 6*n. Solve z(m) = 0.
-1, 0
Suppose -q = -0*q - 2. Solve -25*o + 22*o + 9*o**4 + 15*o**3 + 2*o**2 + 0*o**4 + o**q = 0 for o.
-1, 0, 1/3
Suppose -4*x + t + 5 = -0*x, 20 = 4*x + 4*t. Factor 0*z**x + 0 + 2/7*z**3 - 2/7*z.
2*z*(z - 1)*(z + 1)/7
Let n(u) be the third derivative of 5*u**5/12 - 35*u**4/24 + 5*u**3/3 - 7*u**2. Factor n(g).
5*(g - 1)*(5*g - 2)
Suppose 2*w - w = 8. Determine f, given that 2*f**2 - 8 - 4*f**2 + 3*f**2 - w*f - 3*f**2 = 0.
-2
Suppose 5*n + 3 - 8 = 0. Let t be n/4 - (-19)/4. Factor d**3 - t*d - 3*d**2 + 5*d - 8*d**3 + 2*d + 3*d**4 + 5*d**5.
d*(d - 1)*(d + 1)**2*(5*d - 2)
Let r(n) be the first derivative of 3/5*n**5 - 1/3*n**6 - 4/5*n**3 + n - 3 - 4/5*n**2 + 11/30*n**4. Let j(u) be the first derivative of r(u). Factor j(p).
-2*(p - 1)**2*(5*p + 2)**2/5
Suppose -4*w = -6*w + 5*v, 0 = 4*w + 5*v. Let y(u) be the first derivative of w*u**2 + 0*u - 2 - 1/2*u**4 - 2/3*u**3. Solve y(h) = 0.
-1, 0
Find l, given that -4*l**2 - 4*l + 4 + 6*l + l**2 - 2*l**3 - l**2 = 0.
-2, -1, 1
Let y(p) = p**5 - p**4 - p**2 + p - 1. Let a(o) = -o**5 + 13*o**4 + 4*o**3 + 5*o**2 - 5*o + 5. Let b(f) = a(f) + 5*y(f). Factor b(l).
4*l**3*(l + 1)**2
Let t = -116 + 352/3. Solve 2/3 - 8/3*m - t*m**3 + 10/3*m**2 = 0 for m.
1/2, 1
Let i(t) = t**5 - t**4 + t**3 + t**2. Let s(z) = z**5 - 12*z**3 - 3*z**2 + 10*z**4 + 3 - 9*z**2 + 3*z - z**4 - 4*z**5. Let f(n) = 6*i(n) + s(n). Factor f(w).
3*(w - 1)**2*(w + 1)**3
Let d be -11 + 15 + 2/(-1). Factor 4*o**4 + 26*o**d - 26*o**2 + 13*o - 4 - 8*o**3 - 5*o.
4*(o - 1)**3*(o + 1)
Let u(a) be the first derivative of 2/27*a**3 + 1/9*a**2 + 4 + 1/54*a**4 + a. Let t(c) be the first derivative of u(c). Factor t(f).
2*(f + 1)**2/9
Suppose -5*t - 25 = -4*g - 3, -3*t = -4*g + 18. Let d = t - -5/2. Factor 0 + 0*n + 0*n**3 - 1/2*n**4 + d*n**2.
-n**2*(n - 1)*(n + 1)/2
Let w(v) = -9*v**2 - v + 26. Let y(a) = -8*a**2 - 2*a + 27. Let x(j) = -3*w(j) + 4*y(j). Solve x(r) = 0.
-3, 2
Suppose 5*w = -3*y + 33, -3*w - w + 12 = 0. Let x(p) be the third derivative of 0*p**5 + 0*p - p**2 + 0 + 0*p**3 - 1/12*p**4 + 1/60*p**y. Factor x(o).
2*o*(o - 1)*(o + 1)
Factor 520/9*o - 52/3*o**3 + 200/9 + 2*o**4 + 218/9*o**2.
2*(o - 5)**2*(3*o + 2)**2/9
Let q(a) be the third derivative of 0*a**4 - 1/90*a**5 + 0 + 1/315*a**7 + 0*a + 1/180*a**6 + 0*a**3 - 1/504*a**8 - 3*a**2. Solve q(l) = 0 for l.
-1, 0, 1
Let i = -383 - -407. Determine z, given that -21/2*z**3 + 15/2*z**2 + 6 + i*z = 0.
-1, -2/7, 2
Let r(z) be the first derivative of 0*z + 0*z**2 + 3 - 21/8*z**4 - z**3 - 3/2*z**5. Determine x, given that r(x) = 0.
-1, -2/5, 0
Suppose 3*m = -0*m. Let n(i) be the first derivative of -2 + 1/2*i**4 + m*i + 4/3*i**3 + i**2. Factor n(v).
2*v*(v + 1)**2
Let l = 3/746 + -66403/2238. Let o = 32 + l. Find p, given that 2/3 + 8/3*p**2 + o*p + p**3 = 0.
-1, -2/3
Suppose 3*l - 4 - 5 = 0. Let w(q) be the second derivative of 1/3*q**l - 3*q - 1/10*q**5 + 0*q**2 + 0*q**4 + 0. Factor w(i).
-2*i*(i - 1)*(i + 1)
Let g be 64/30 - 18/135. Factor 8*m - 12*m - 6*m**2 + 2*m**3 + g*m**4 - 2*m**3.
2*m*(m - 2)*(m + 1)**2
Let 3*a**2 - 383 - a**4 + 2*a + 383 = 0. Calculate a.
-1, 0, 2
Let s be (-1 - -3) + 2 + -1. Find b such that -3*b**s - 2 + 0*b**2 + 6*b + 2*b**3 - 6*b**2 + 3*b**3 = 0.
1
Let z(c) be the third derivative of -c**6/40 - c**5/10 - c**4/8 - 7*c**2. Factor z(y).
-3*y*(y + 1)**2
Let y = -464 - -3252/7. Let b(m) = m**2 - 6*m + 2. Let t be b(6). Find z such that -y*z + 2/7*z**t + 2/7 = 0.
1
Let c(v) be the first derivative of -v**4 - 4*v**3 + 16*v + 17. Factor c(o).
-4*(o - 1)*(o + 2)**2
Let z(g) be the third derivative of g**7/735 + g**6/210 + g**5/210 + 2*g**2. Factor z(q).
2*