= -5*c(s) - 2*o(s). Let q be r(-6). Factor -x + 6 + 5*x**q - 4*x**2 - 4 - 2*x**3.
(x - 1)**2*(3*x + 2)
Suppose 10*k - 6*k = 0. Suppose f - 2 = -k. Factor -1/2*r + 1/2*r**f + 0.
r*(r - 1)/2
Suppose -5*s - 5*z - 3 = -4*z, -4*s + 4*z - 12 = 0. Let j = 3 + s. Factor x**2 + 4*x**3 + x**j - 4*x**2 - 2*x**4.
-2*x**2*(x - 1)**2
Solve 6*t - 2/3*t**3 - 10/3 - 2*t**2 = 0 for t.
-5, 1
Let g(z) = 12*z**3 + 10*z**2 + 6*z + 4. Let v(f) = 23*f**3 + 20*f**2 + 11*f + 7. Let j(r) = -7*g(r) + 4*v(r). Find h, given that j(h) = 0.
-1, -1/4, 0
Suppose a + 0 - 4 = 0. Let h(k) = -k**2 + 5*k - 1. Let p be h(a). Solve -m**2 - 2*m**5 - 2*m - m**4 + 2*m**2 + 3*m**p + m**5 = 0 for m.
-2, -1, 0, 1
Let x(h) be the third derivative of h**2 + 0*h + 1/70*h**7 + 0*h**3 - 1/672*h**8 + 0*h**4 + 0 + 1/15*h**5 - 1/20*h**6. Suppose x(p) = 0. What is p?
0, 2
Let q(w) be the third derivative of w**8/336 - w**7/105 + w**5/30 - w**4/24 + w**2. Factor q(l).
l*(l - 1)**3*(l + 1)
Let q(x) = -x**5 + 4*x**3 + x. Let h(j) = j**3 + j. Suppose 0 = -0*m - 3*m - 6. Let k(w) = m*h(w) + q(w). Solve k(d) = 0.
-1, 0, 1
Let o be (0 + (-11 - -11))/(8/2). Factor -1/4*d**3 - 3/4*d**2 - 1/2*d + o.
-d*(d + 1)*(d + 2)/4
Let q(x) be the first derivative of 0*x**2 + 0*x**3 - 1/12*x**4 - 1/18*x**6 - 2/15*x**5 + 0*x - 1. Factor q(w).
-w**3*(w + 1)**2/3
Suppose -2*u + 5 = 1. Let y(p) be the first derivative of 3*p**u - 14/9*p**3 - 4/3*p + 2. Let y(a) = 0. Calculate a.
2/7, 1
Let a(g) be the first derivative of 847*g**4/4 + 550*g**3/3 + 58*g**2 + 8*g + 5. Factor a(v).
(7*v + 2)*(11*v + 2)**2
Let -188*r**2 + 100*r**4 - 496*r - 403*r**2 - 96 - 20*r**3 - 73*r**2 = 0. Calculate r.
-2, -2/5, 3
Let s(t) be the first derivative of 3 + 2*t - 2/3*t**3 + 0*t**2. Determine n so that s(n) = 0.
-1, 1
Factor -5/3*d + 4/3*d**2 + 1/3.
(d - 1)*(4*d - 1)/3
Let d(k) be the first derivative of k**3/18 - k**2 + 11*k/6 + 35. Determine n, given that d(n) = 0.
1, 11
Let d = -2006/3 - -669. Find y, given that 5/3*y + 10/3*y**3 - 10/3*y**2 - 5/3*y**4 + 1/3*y**5 - d = 0.
1
Suppose -3*m + 6 = -9. Suppose 3*j**5 + 3*j**3 - 2*j**m - 5*j**3 + j = 0. Calculate j.
-1, 0, 1
Suppose 10 = 3*r - 5*z, 5*r - 4*z = -7 + 28. Suppose 0*u + 2*u + 6 = 0, 4 = r*y + 2*u. Solve -4*h**2 - 6 + 9 + 3*h**4 - 2*h**y = 0.
-1, 1
Let h be (-228)/(-60) - 3/(-4)*-4. Factor h*c**2 + 0*c - 2/5*c**3 + 0 - 2/5*c**4.
-2*c**2*(c - 1)*(c + 2)/5
Let o(v) be the first derivative of 2/7*v - 1/7*v**2 - 1/21*v**6 - 4/21*v**3 + 2 + 2/35*v**5 + 1/7*v**4. Factor o(u).
-2*(u - 1)**3*(u + 1)**2/7
Let v(s) be the second derivative of -1/14*s**7 + 0*s**4 - 2*s + 0*s**2 - 4/15*s**6 - 3/10*s**5 + 1/6*s**3 + 0. Let v(n) = 0. What is n?
-1, 0, 1/3
Let b be -82 + 88 - (4 + (0 - 1)). Factor -4*c - 2 + 9/2*c**b + 3/2*c**2.
(c - 1)*(3*c + 2)**2/2
Let k(s) be the first derivative of 7*s**4/4 - 5*s**3/3 - s**2 - 3. Let k(h) = 0. Calculate h.
-2/7, 0, 1
Let g(x) be the first derivative of 3*x**5/40 - x**4/32 - x**3/3 - x**2/4 + 11. Factor g(c).
c*(c - 2)*(c + 1)*(3*c + 2)/8
Let g(f) = -4 + 0*f**3 + f**2 + 3 + f**3. Suppose 14 - 8 = 3*i. Let u(o) = -o**3 - 3*o**2 - 2*o + 2. Let r(m) = i*u(m) + 4*g(m). Factor r(t).
2*t*(t - 2)*(t + 1)
Let f(d) be the third derivative of d**6/120 + d**5/15 + 5*d**4/24 + d**3/3 - d**2. Factor f(k).
(k + 1)**2*(k + 2)
Let f(y) = -3*y**4 - 15*y**3 + 15*y**2 + 57*y + 30. Let o(t) = 3*t**4 + 15*t**3 - 16*t**2 - 58*t - 30. Let d(a) = -7*f(a) - 6*o(a). Suppose d(p) = 0. What is p?
-5, -1, 2
Let z = 7 - 2. Find w such that 2*w**2 + 3*w**z - 16*w - 3*w**3 - 2*w**4 + 16*w = 0.
-1, 0, 2/3, 1
Let n(y) = -2*y**2 + 2*y - 5. Let z(g) = -5*g**2 + 0*g**2 + 1 - 3 + 4*g**2 + g. Let t(h) = 4*n(h) - 10*z(h). Suppose t(d) = 0. Calculate d.
0, 1
Let q(d) be the third derivative of d**8/168 - d**6/30 + d**4/12 - 4*d**2. Factor q(c).
2*c*(c - 1)**2*(c + 1)**2
Let -4/21 - 10/21*c - 2/21*c**3 - 8/21*c**2 = 0. What is c?
-2, -1
Let b(k) = -6*k**3 - 41*k**2 - 67*k - 53. Let f(u) = -3*u**3 - 20*u**2 - 34*u - 26. Let x(q) = 2*b(q) - 5*f(q). Factor x(t).
3*(t + 2)**3
Factor 4/9*m**3 + 16/9*m - 20/9*m**2 + 0.
4*m*(m - 4)*(m - 1)/9
Let b(a) be the first derivative of -a**7/70 - a**6/40 + a**5/20 + a**4/8 + 2*a**2 + 3. Let r(m) be the second derivative of b(m). Factor r(v).
-3*v*(v - 1)*(v + 1)**2
Let x be 0 + (-2)/16*-33 + -4. Let p(f) be the first derivative of 1/8*f**2 - x*f**4 + 1/4*f - 1/6*f**3 + 1/24*f**6 + 1/20*f**5 + 4. Solve p(n) = 0.
-1, 1
Let h(r) = -3*r**2 + 7*r + 6. Let a(i) = -4*i**2 + 8*i + 7. Let c(b) = -4*a(b) + 5*h(b). Let c(x) = 0. What is x?
-2, -1
Let z(x) be the second derivative of x**5/120 - x**4/24 + x**2/3 + 5*x. Factor z(p).
(p - 2)**2*(p + 1)/6
Let d = -62 - -67. Suppose 28 = 2*n - 5*m, -4*m = -n - 10 + 30. Let -3/2*i**n - 2*i**d - 1/2*i + 5/2*i**3 + 0 + 3/2*i**2 = 0. What is i?
-1, 0, 1/4, 1
Let l(u) be the third derivative of u**5/60 - u**4/12 + u**3/6 - 2*u**2. Factor l(b).
(b - 1)**2
Let u(c) be the third derivative of -c**9/3024 + c**7/280 + c**6/180 - c**3/3 - c**2. Let x(n) be the first derivative of u(n). Factor x(y).
-y**2*(y - 2)*(y + 1)**2
Let r(q) = -4*q - 22. Let z be r(-5). Let g = 0 - z. Solve 6*v**4 + 0 + 0*v - 4/3*v**2 + g*v**3 = 0.
-2/3, 0, 1/3
Let q(m) = -m**2 + 2*m**2 + 6*m + 2*m**2 + 3*m**2. Let j(h) = h**2 + h. Let w(u) = -3*u**3 + 2*u**2 - 1. Let c be w(-1). Let s(f) = c*j(f) - q(f). Factor s(x).
-2*x*(x + 1)
Suppose 4*z + 0*b = b + 19, -4*z = -2*b - 14. Factor z*j**3 - j - 3*j**2 - 8*j + 6*j.
3*j*(j - 1)*(2*j + 1)
Suppose -13 = -4*o - 1. Let w(z) = z**3 - 8*z**2 + 4*z + 13. Let x(m) = m**3 - 4*m**2 + 2*m + 7. Let s(u) = o*w(u) - 5*x(u). Factor s(t).
-2*(t - 1)*(t + 1)*(t + 2)
Factor 7/2*y**4 + 2 - 15*y**3 - 12*y + 43/2*y**2.
(y - 2)*(y - 1)**2*(7*y - 2)/2
Suppose 0 = 4*l - 5*m + 84, 5*l + 4*m - 2*m = -105. Let i be 7/l + 22/30. Determine p, given that 0 + 2/5*p**3 - i*p**5 + 0*p**4 + 0*p + 0*p**2 = 0.
-1, 0, 1
Let d be (1 - 2 - -2)*1. Suppose -4*h - 10 - 1 = -5*v, v - d = 2*h. Let 32*w**4 + 2*w**2 - 16*w**v + 0*w**2 + 0*w**2 = 0. Calculate w.
0, 1/4
Suppose -3*l + 6 = -3*a, 4*l + 10 = -4*a + 9*l. Suppose -2*q + 0*q + 12 = a. Let q*x + x + 6*x**2 - x - 4*x**2 + 4 = 0. Calculate x.
-2, -1
Let p = 119 - 119. Let z(r) be the second derivative of 0 + 1/45*r**6 + 4*r - 1/18*r**4 - 1/9*r**3 + 1/10*r**5 - 2/63*r**7 + p*r**2. What is o in z(o) = 0?
-1, -1/2, 0, 1
Let y(l) = -2*l**2 + 5*l. Let r(d) = d**2 - d. Let f(a) = 6*r(a) + 2*y(a). Factor f(x).
2*x*(x + 2)
Let w(z) be the first derivative of 0*z**3 + 0*z - 4 + 1/8*z**4 - 1/4*z**2. Factor w(a).
a*(a - 1)*(a + 1)/2
Let a(k) be the second derivative of k**4/12 - 2*k**3/3 - 5*k**2/2 + 5*k. Solve a(d) = 0.
-1, 5
Find b, given that 0 + 2/7*b + 2/7*b**2 - 2/7*b**3 - 2/7*b**4 = 0.
-1, 0, 1
Let q(b) be the third derivative of b**8/168 - b**7/35 - b**6/60 + 11*b**5/30 - b**4 + 4*b**3/3 - 10*b**2. Factor q(m).
2*(m - 2)*(m - 1)**3*(m + 2)
Suppose -g = 2*x - 14, -2*x = 2*g + 3 - 21. Suppose -4*p - 2*o = o - 5, -g*o = -2*p + 8. Factor 7*t + 2*t**p + t**2 + 6 + 2*t.
3*(t + 1)*(t + 2)
Let j(d) be the first derivative of -d**4 - 9. Factor j(n).
-4*n**3
Let o(w) = -6*w**3 + 11*w**2 - 3*w + 7. Suppose -2*z - d - 28 = 0, -4*d + 10 = -z - 4. Let s(n) = n**3 - n**2 + n - 1. Let b(y) = z*s(y) - 2*o(y). Factor b(h).
-2*h*(h + 2)**2
Determine s so that 54/5*s**2 + 48/5*s - 48/5*s**3 - 6*s**4 - 24/5 = 0.
-2, -1, 2/5, 1
Factor -1/5*o + 1/5*o**2 + 0.
o*(o - 1)/5
Let x(q) = -9*q**4 + 5*q**3 + 4*q**2 - 5*q. Let r(t) = -5*t**4 + 3*t**3 + 2*t**2 - 3*t. Let j(m) = 10*r(m) - 6*x(m). Factor j(o).
4*o**2*(o - 1)*(o + 1)
Let l = -4 - -4. Suppose l = 3*n + k - 5, 3*n + 1 - 5 = -2*k. Factor -2 - 4*m + 0 - n*m**2 + 0*m.
-2*(m + 1)**2
Let u(q) be the second derivative of -q**4/12 - 2*q**3/3 - 2*q**2 + 3*q + 1. Solve u(a) = 0.
-2
Let r be ((-3)/(-2))/(3/8). Let m = -2 + r. Factor 0 - x**3 - x**3 + x**3 + 1 + x - x**m.
-(x - 1)*(x + 1)**2
Let i(v) be the second derivative of 2/33*v**3 + 1/66*v**4 + 0*v**2 + 0 - 6*v. Find u, given that i(u) = 0.
-2, 0
Factor 0 - t - 1/2*t**2.
-t*(t + 2)/2
Let w(d) = -d**3 - 9*d**2 + 10*d + 3. Let v be w(-10). Suppose 0 = 3*y - 2*h, y + 4 = -v*y + 4*h. Determine g so that -2*g**2 + y*g - 2*g**2 + 3*g**2 = 0.
0, 2
Let k(x) = x**3 + x**2 + x. Let g be (6/8)/(6/96). Let m(o) = -o**4 + 7*o**3 + o**2 + 5*o. Let i(f)