 x(j) = -j**2 - j - 1. Let f(p) = c*l(p) + s*x(p). Factor f(k).
-k*(5*k + 2)
Suppose -3/4*u + 3/8*u**3 - 3/8*u**2 + 0 = 0. What is u?
-1, 0, 2
Suppose 0 = 49*z - 121*z. Solve z*k - 6/11*k**3 + 0 + 8/11*k**4 - 2/11*k**2 = 0.
-1/4, 0, 1
Let y(c) be the third derivative of -c**7/70 - c**6/8 - c**5/5 - 20*c**2. Let y(r) = 0. What is r?
-4, -1, 0
Let a be (-483)/(-35) + 0/2. Let c = a + -67/5. Factor c*h + 0 - 4/5*h**2 + 2/5*h**3.
2*h*(h - 1)**2/5
Suppose -2*n - z = -4, 3*n + z - 3 = -2*z. Factor -114*t**4 + 2*t**2 + 0*t**3 - 4*t + 4*t**n + 118*t**4 - 6*t**2.
4*t*(t - 1)*(t + 1)**2
Let b(i) = i + 11. Let v be b(-9). Let r = 15 - 11. Factor 0 - 1/4*t**v - 3/4*t**r + 0*t + 1/4*t**5 + 3/4*t**3.
t**2*(t - 1)**3/4
Let y(b) = -b. Let d(l) = 2*l**2 - 4*l + 4. Let k(z) = -d(z) - 2*y(z). Let p(x) = -x + 1. Let i(u) = k(u) + 8*p(u). Determine r so that i(r) = 0.
-2, 1
Let c(x) be the third derivative of 1/6*x**3 + 0 + 0*x**4 - 1/180*x**6 + 0*x**5 + x**2 + 0*x. Let u(j) be the first derivative of c(j). Factor u(l).
-2*l**2
Let f(o) be the second derivative of -o**7/14 + 3*o**6/10 + 3*o**5/4 - 3*o**4/4 - 2*o**3 - 21*o. Determine s, given that f(s) = 0.
-1, 0, 1, 4
Let d(t) = -t**5 + 3*t**4 - t**3 - 3*t**2 + 2*t. Let g(q) = 3*q**5 - 8*q**4 + 2*q**3 + 8*q**2 - 5*q. Let m(c) = 8*d(c) + 3*g(c). Let m(b) = 0. Calculate b.
-1, 0, 1
Factor -56*r**4 + 5*r - 6*r**3 - 9*r**5 - 2*r + 80*r**4 - 12*r**3.
-3*r*(r - 1)**3*(3*r + 1)
Let f(l) = 4*l**3 + 24*l**2 + 48*l + 26. Let j(i) = 1. Let z(g) = f(g) + 6*j(g). Factor z(v).
4*(v + 2)**3
Suppose -4*l = -5*l - b + 16, 2*b - 62 = -4*l. Suppose -5*g = 5*a - 35, -15 = -5*a - 4*g + l. Factor -8/5*o**3 - 2/5 - 16/5*o**a - 2*o.
-2*(o + 1)*(2*o + 1)**2/5
Suppose -22 = -5*p + 4*r, -r + 3 = 6. Suppose 1/2*m**4 + m - 1/2*m**p + 0 - m**3 = 0. What is m?
-1, 0, 1, 2
Let l = -9/40 - -103/280. Determine o, given that 2/7*o**2 + 0*o + 0*o**3 - 1/7*o**4 - l = 0.
-1, 1
Factor -2*m**2 + 5*m**4 + 6*m**2 + 11*m**2 - 5*m - 15*m**3.
5*m*(m - 1)**3
Factor -25*t**2 + 7*t + 2 - 28*t**2 + 44*t**2.
-(t - 1)*(9*t + 2)
Suppose -2*n = -4, -3*v + 4 = 2*n - 3*n. Suppose 3*o + 15/2*o**4 + 3/2*o**3 - 9/2*o**5 - 15/2*o**v + 0 = 0. Calculate o.
-1, 0, 2/3, 1
Let w(f) be the second derivative of f**5/10 - f**3 + 2*f**2 + 3*f. Determine z so that w(z) = 0.
-2, 1
Let y(z) be the second derivative of -z**5/2 + 55*z**4/12 - 50*z**3/3 + 30*z**2 + 16*z. Suppose y(x) = 0. What is x?
3/2, 2
Let b = -2/437 - -4384/3059. Suppose 6*t = 4*t + 4. Determine j, given that -6/7*j**3 - t*j**2 - 2/7 - b*j = 0.
-1, -1/3
Suppose f = -2*f + 15. Suppose -2*d + 2 + 1 = r, 0 = -2*d + f*r + 21. Factor -1/3*i**d + 0 - 2/3*i**2 - 1/3*i.
-i*(i + 1)**2/3
Let o(k) be the first derivative of -24*k**5/5 + 5*k**4 + 8*k**3 - 6*k**2 - 8*k - 6. Suppose o(b) = 0. Calculate b.
-2/3, -1/2, 1
Suppose -5*n + u - 6*u = 10, 0 = n - 5*u - 22. Let o(c) be the second derivative of -2*c + 0*c**n + 0*c**3 + 0 + 1/54*c**4. What is x in o(x) = 0?
0
Let q(j) be the first derivative of 4*j**5/5 - j**4/4 - 4*j**3 - 5*j**2/2 + 2*j + 35. Factor q(t).
(t - 2)*(t + 1)**2*(4*t - 1)
Let j = -3/809 - 67138/2427. Let h = j + 29. Determine i, given that -2/3*i**3 + 0*i + 0 - h*i**2 = 0.
-2, 0
What is p in -6/13*p**3 + 8/13*p + 0 + 8/13*p**2 = 0?
-2/3, 0, 2
Suppose 2*c = 6*c. Let v be c/(-2 + 1 + 3). Let -1/4*z**2 + v + 1/4*z + 1/4*z**4 - 1/4*z**3 = 0. What is z?
-1, 0, 1
Find c such that -10*c**3 + 3*c**4 - c**4 + 2*c + 2*c**2 + 3*c**4 + c**4 = 0.
-1/3, 0, 1
Let v(p) be the third derivative of p**7/2100 - p**6/900 - p**3/6 + p**2. Let s(w) be the first derivative of v(w). Factor s(n).
2*n**2*(n - 1)/5
Suppose -5*b + 10*b - 25 = 0. Let h(o) be the first derivative of -1/6*o**3 + 3/8*o**4 + 0*o**2 + 3 - 3/10*o**b + 1/12*o**6 + 0*o. Factor h(r).
r**2*(r - 1)**3/2
Let h(k) be the first derivative of 4*k**3/15 + 7. Let h(f) = 0. What is f?
0
Suppose 0 = 5*v - 5*l + 2*l - 10, -5*v - 3*l = -10. Determine s, given that -2*s**2 + 9*s - 3*s**3 + 5*s**v + 2*s**3 - 5*s**3 = 0.
-1, 0, 3/2
Let w(x) be the third derivative of -x**7/105 + x**6/12 - 4*x**5/15 + x**4/3 - 6*x**2. Find b, given that w(b) = 0.
0, 1, 2
Suppose -c - 2*f - 2*f = -1, 4*c - f = 4. Let y be 1 - 2/(c + -3). Factor 2/7*h**y - 4/7*h + 2/7*h**3 + 0.
2*h*(h - 1)*(h + 2)/7
Suppose 7*m**3 + 4*m + m**3 + 29*m**2 - 19*m**2 + 2*m**4 = 0. What is m?
-2, -1, 0
Suppose -4*m + 0*l = 4*l - 16, 4*m = -2*l + 12. Suppose 0 = m*i - 4*i. Suppose i*v - 2/9*v**2 + 8/9*v**3 - 2/3*v**4 + 0 = 0. What is v?
0, 1/3, 1
Let u(s) be the third derivative of -s**8/168 + 2*s**7/315 + s**6/60 - s**5/45 - 16*s**2. What is d in u(d) = 0?
-1, 0, 2/3, 1
Let m(a) be the second derivative of 3*a + 1/2*a**3 - 3/20*a**5 + 0*a**4 + 0 + 0*a**2. Determine g, given that m(g) = 0.
-1, 0, 1
Let h(k) be the first derivative of 4*k**6/3 + 12*k**5/5 - 4*k**3/3 - 7. Let h(v) = 0. Calculate v.
-1, 0, 1/2
Suppose -10 - 2 = -4*y. Let m be (-6)/(-33) + 31/11. Find t, given that -2*t**m - y - 7*t**2 + 5*t**3 - 2*t**2 + 9*t = 0.
1
Let t(m) be the third derivative of -m**8/6720 + m**7/2520 + m**6/720 - m**5/120 + m**4/8 + 3*m**2. Let q(i) be the second derivative of t(i). Factor q(a).
-(a - 1)**2*(a + 1)
Let w(r) be the second derivative of -r**6/15 + r**5/5 + r**4/2 - 4*r**3/3 - 4*r**2 + 19*r. Factor w(x).
-2*(x - 2)**2*(x + 1)**2
Suppose 6*w = -4*i + 2*w - 32, w + 3 = 0. Let m = 7 + i. Let -4/7*l**3 + 4/7*l - 2/7*l**m + 2/7 = 0. Calculate l.
-1, -1/2, 1
Let q(u) be the second derivative of u**7/18 - 2*u**6/15 - u**5/15 + 7*u**4/18 - u**3/6 - u**2/3 - 3*u. Factor q(w).
(w - 1)**3*(w + 1)*(7*w + 2)/3
Factor -1/3*g**4 + 0 + 0*g + 0*g**2 + 2/3*g**3.
-g**3*(g - 2)/3
Let a(h) be the second derivative of -h**6/20 + 3*h**5/10 - 3*h**4/4 + h**3 - 3*h**2/4 + 7*h. Solve a(j) = 0 for j.
1
Let d(k) be the first derivative of -k**6/12 + k**5/10 + k**4/8 - k**3/6 + 8. Suppose d(i) = 0. What is i?
-1, 0, 1
Let m be 9/(-6)*4 + 3. Let r(y) = -4*y**2 - 3*y + 1. Let a(c) = 7*c**2 + 6*c - 1. Let u(o) = m*a(o) - 5*r(o). Factor u(d).
-(d + 1)*(d + 2)
Let w(i) = i**3 - 11*i**2 - 10*i - 22. Let z be w(12). Factor -18/5*r**3 - 2/5*r + 0 + z*r**2 - 4/5*r**5 + 14/5*r**4.
-2*r*(r - 1)**3*(2*r - 1)/5
Let l(q) be the second derivative of 0*q**2 - 1/15*q**6 + 0 - 1/10*q**5 + q + 1/6*q**4 + 1/3*q**3. Find x, given that l(x) = 0.
-1, 0, 1
Let l(f) be the third derivative of 0*f + 0 + 2/15*f**5 + 0*f**3 - 7/60*f**6 + 1/3*f**4 - 1/56*f**8 - 2/21*f**7 + 8*f**2. Solve l(i) = 0.
-2, -1, 0, 2/3
Let b = 79/295 + -4/59. Find a such that b - 1/5*a**2 + 0*a = 0.
-1, 1
Let n(y) = -y + 2. Let b be n(0). Suppose i**b - i**3 - 3*i**2 + 0*i - 2*i - i**2 = 0. Calculate i.
-2, -1, 0
Let g(p) be the third derivative of 1/9*p**3 + 0 + 1/126*p**7 + p**2 - 1/120*p**6 - 7/180*p**5 + 1/24*p**4 + 0*p. Factor g(l).
(l - 1)**2*(l + 1)*(5*l + 2)/3
Suppose 5*x = 11 - 36, 2*x = -2*p - 34. Let b be p/(-16)*(-24)/(-9). Determine o, given that -o + 2/3 - 4*o**b - 7/3*o**3 = 0.
-1, 2/7
Let l(m) be the second derivative of 3*m**5/16 - 17*m**4/16 + 2*m**3 - 3*m**2/2 + 11*m. Factor l(w).
3*(w - 2)*(w - 1)*(5*w - 2)/4
Factor 0*f + f**3 - 1/3*f**2 - f**4 + 0 + 1/3*f**5.
f**2*(f - 1)**3/3
Let y(x) be the third derivative of -x**5/135 - 2*x**4/27 - 8*x**3/27 + 25*x**2. Factor y(f).
-4*(f + 2)**2/9
Let y(l) be the first derivative of -l**7/70 - l**6/20 - l**5/20 - 4*l**2 - 2. Let z(m) be the second derivative of y(m). Suppose z(x) = 0. What is x?
-1, 0
Let c(r) be the first derivative of 2*r**3 + 5 + 0*r**4 + 0*r + 3/2*r**2 - 6/5*r**5 - 1/2*r**6. Factor c(o).
-3*o*(o - 1)*(o + 1)**3
Let d(x) = x**2. Let l(z) = -2*z**2. Let n(a) = 6*d(a) + l(a). Let n(g) = 0. Calculate g.
0
Let v = -9 - -17. Let x = 11 - v. Factor 0*j**4 + 0 - 2/3*j + 4/3*j**x - 2/3*j**5 + 0*j**2.
-2*j*(j - 1)**2*(j + 1)**2/3
Factor -2/9*c**5 + 0 + 0*c**4 + 4/9*c**3 - 2/9*c + 0*c**2.
-2*c*(c - 1)**2*(c + 1)**2/9
Find h such that -39*h**4 + 24*h**4 - 4*h**3 + 8*h**5 + 12*h**2 - 4*h + 3*h**4 = 0.
-1, 0, 1/2, 1
Suppose 5*f - 6 - 9 = 0. Suppose -c + f + 1 = 0. Let -15*h**3 + 2*h**2 + 10*h**c + 5*h**2 - h**4 + 0*h**4 - h = 0. What is h?
0, 1/3, 1
Suppose 2*z - 19 = 3*v - 6*v, 0 = 2*z + v - 9. Let j**3 - 2*j**4 - j**4 - j**2 + 2*j**2 + z*j**4 - j = 0. Calculate j.
-1, 0, 1
Factor -8/3 - 2/3*f**2 - 8/3*f.
-2*(f + 2)**2/3
Let s(y) be