. Calculate i.
-1, -2/3, 1
What is d in -12/7*d**3 - 24/7*d**2 - 2/7*d**4 + 0 - 16/7*d = 0?
-2, 0
Let i(u) = -u**3 - 9*u**2 + 9*u - 8. Suppose t - 5*a + 15 = 0, a - 21 = 2*t - 0*t. Let r be i(t). Factor -4*v**r + 2*v**2 + 4*v**2 + 2*v**4 - 4*v**3 + 0*v**4.
2*v**2*(v - 1)**2
Let r(n) = -n - 5. Suppose -18*k - 35 = -13*k. Let h be r(k). What is f in 2/3 - 2*f + h*f**2 - 2/3*f**3 = 0?
1
Let a(n) = n - 3. Let w be a(7). Let r be (-4)/26 + w/26. Factor 1/6*l**2 + 0*l + r.
l**2/6
Let f(a) be the second derivative of -a**8/1120 - a**7/840 + a**6/120 + a**5/40 - a**4/6 + 3*a. Let m(h) be the third derivative of f(h). Factor m(r).
-3*(r - 1)*(r + 1)*(2*r + 1)
Let j = -17 + 18. Let y(f) be the first derivative of 1/3*f + j + 1/3*f**3 - 4/15*f**5 - 1/3*f**4 + 2/3*f**2. What is k in y(k) = 0?
-1, -1/2, 1
Suppose -2*p - 26 = -4*u, 55 = 5*u + 2*p + 3*p. Let f be 3 - (14/u)/1. Suppose -1 + f*m**3 - 2*m + 7/4*m**2 = 0. What is m?
-2, -2/5, 1
Let s(m) be the third derivative of -2*m**2 + 0*m + 0*m**4 + 1/168*m**8 + 0 + 0*m**3 + 0*m**6 + 1/105*m**7 + 0*m**5. Solve s(a) = 0 for a.
-1, 0
Let t(n) = 18*n**4 + 48*n**3 + 28*n**2 - 8*n - 14. Let u(p) = 6*p**4 + 16*p**3 + 9*p**2 - 3*p - 5. Let x(l) = 3*t(l) - 8*u(l). What is v in x(v) = 0?
-1, 1/3
Let u be 10/25*(-10)/(-8). Determine g, given that -7/4*g - u - 1/2*g**3 - 7/4*g**2 = 0.
-2, -1, -1/2
Suppose -5*k = -3*k - 2. Let j(n) = -n**3. Suppose 4*u = -10 - 6. Let i(g) = -8*g**3 + 5*g**2 - g. Let z(f) = k*i(f) + u*j(f). Factor z(h).
-h*(h - 1)*(4*h - 1)
Let y be (-3)/(-10)*(3 + (-25)/15). Find g, given that 2/5*g**3 + 0 + 0*g - y*g**2 = 0.
0, 1
Find b such that -128/19 + 32/19*b - 2/19*b**2 = 0.
8
Let x(i) be the second derivative of -i**6/240 - i**5/60 - 3*i**2 + 6*i. Let z(w) be the first derivative of x(w). Find t, given that z(t) = 0.
-2, 0
Suppose 2*y + 7*u - 4*u = 11, 5*y - 2*u + 1 = 0. Determine p, given that 13/2*p**3 + 8*p**2 + y - 9*p**4 - 13/2*p = 0.
-1, 2/9, 1/2, 1
Let y = -8 + 12. Let h(d) = -d**3 + 5*d**2 - 5*d + 8. Let q be h(y). Factor 0*u - u**3 + 0 - 7/2*u**q - 2*u**5 + 1/2*u**2.
-u**2*(u + 1)**2*(4*u - 1)/2
Let d(i) = -i**3 + i - 1. Let y(z) = -2*z**3 - 2*z**2 + 4*z - 5. Let w(a) = 5*d(a) - y(a). Factor w(k).
-k*(k - 1)*(3*k + 1)
Let i(v) = -v**2 + 4*v + 2. Let h be i(4). Suppose -8 = -7*t + 3*t. Factor -2*a**3 + 0*a**3 - 4 + t*a**2 + h*a + 2.
-2*(a - 1)**2*(a + 1)
Let l(p) = -p**4 + p**3 - p**2 + 1. Let z(q) = q**5 - 3*q**4 - q**2 + 3. Let x(t) = -15*l(t) + 5*z(t). Factor x(v).
5*v**2*(v - 1)**2*(v + 2)
Let x(b) = b - 5. Let q be x(5). Determine p so that -8*p - p**3 + q + 4 + 0*p**2 + 0 + 5*p**2 = 0.
1, 2
Let j(m) = m**2 + m - 1. Let q be j(-2). Let -q + 22*r - 8*r**3 - 5 + 4*r**2 - 20*r**2 = 0. Calculate r.
-3, 1/2
Suppose 8 = 4*h - 4. Let k(q) = -4*q + 16. Let v be k(4). What is x in -2*x + h + x**3 + x**3 + v*x**3 - 4*x**2 + 1 = 0?
-1, 1, 2
Suppose -2*d = -11 + 5. Find n, given that -2/7*n**d + 6/7*n + 4/7 + 0*n**2 = 0.
-1, 2
Solve 56/3*u**3 - 4/3*u + 4/3 - 44/3*u**4 + 4*u**5 - 8*u**2 = 0 for u.
-1/3, 1
Let i(a) be the first derivative of a**4/20 - 7*a**3/15 + 3*a**2/2 - 9*a/5 + 19. Factor i(f).
(f - 3)**2*(f - 1)/5
Suppose 4*t - 6 = -f, -3*f + 5*t + 3 = 2. Let 6*n**2 - 2*n**3 + 0*n**2 - n**4 - 4*n**2 - 3*n**f = 0. Calculate n.
-1, 0
Let a(m) be the first derivative of -2*m**5/15 + m**4/9 + 8. Let a(d) = 0. What is d?
0, 2/3
Let v(g) = g**2 + 7*g + 4. Let d be v(-7). Suppose -d = -2*b - 0. Factor -z + 3*z**3 + 7*z**b - z - 8*z**2.
z*(z - 1)*(3*z + 2)
Let q = -28 - -16. Let a be (-17)/(-4) + 3/q. Factor -5*b**a + 0*b + b - 12*b**3 - 9*b**2 - 3*b.
-b*(b + 1)**2*(5*b + 2)
Let p(z) be the third derivative of 3*z**6/140 + z**5/70 - 2*z**4/21 - 4*z**3/21 + 2*z**2. Let p(v) = 0. Calculate v.
-2/3, 1
Let s(f) = 8*f**2 - 3*f + 4. Let o(v) = 15*v**2 - 7*v + 7. Let l = -17 - -11. Let t(c) = l*o(c) + 10*s(c). Find i, given that t(i) = 0.
1/5, 1
Factor 0 - 2/3*k + 2/3*k**3 - k**2 + k**4.
k*(k - 1)*(k + 1)*(3*k + 2)/3
Find b, given that 5*b**3 + 4*b**3 - 36*b - 3*b**3 + 25 - 9 + 14*b**2 = 0.
-4, 2/3, 1
Solve -28 + 20*a**2 + 0*a + 5*a + 28 = 0 for a.
-1/4, 0
Let o(j) = j**2 - j - 1. Let z(r) = 6*r**2 + 17*r + 5. Let i(v) = -o(v) - z(v). What is b in i(b) = 0?
-2, -2/7
Let a(o) be the first derivative of 1 + 3/7*o - 3/7*o**2 + 1/7*o**3. Determine y so that a(y) = 0.
1
Let n = -79/4 + 20. Factor -1/2 - n*f**2 + 3/4*f.
-(f - 2)*(f - 1)/4
Let f be 12/78 - (0 + 48/(-26)). Factor -1/2*a**3 - f*a**2 - 1 - 5/2*a.
-(a + 1)**2*(a + 2)/2
Let t(i) = 240*i**4 - 110*i**3 - 95*i**2 - 15*i + 10. Let v(z) = -80*z**4 + 37*z**3 + 32*z**2 + 5*z - 3. Let o(w) = 3*t(w) + 10*v(w). Factor o(m).
-5*m*(m - 1)*(4*m + 1)**2
Let k(d) = 2*d**4 - 16*d**3 + 30*d**2 + 21*d - 27. Let t(n) = n**4 - 8*n**3 + 15*n**2 + 11*n - 13. Let q(z) = -6*k(z) + 10*t(z). Factor q(c).
-2*(c - 4)**2*(c - 1)*(c + 1)
Suppose 8 = 3*p + 20, -4*n + 4*p + 24 = 0. What is w in w**2 - 2*w**n + 0*w - w = 0?
-1, 0
Let q(v) = -3*v**4 - v**3 + v**2 + 3*v - 1. Suppose -1 = 4*x + 3. Let u(f) = f**4 - f**3 + f**2 - f + 1. Let l(w) = x*q(w) - u(w). Solve l(h) = 0 for h.
-1, 0, 1
Let u(y) be the first derivative of -1/24*y**6 + 3 - 1/3*y**3 - 1/8*y**2 - 1/5*y**5 + 0*y - 3/8*y**4. Determine j, given that u(j) = 0.
-1, 0
Suppose 4*k - 29 = -4*m - m, -4*k - m = -25. Let s be 3/k*(0 + 0). Solve -5/4*i**3 - 1/4*i**2 + s*i - 3/4*i**5 - 7/4*i**4 + 0 = 0 for i.
-1, -1/3, 0
Find h such that 2/9*h**3 - 2/9*h**2 + 0 + 0*h = 0.
0, 1
What is q in -1/2*q**2 - 1/4*q + 0 - 1/4*q**3 = 0?
-1, 0
Suppose 6*b - 8 = 2*b. Let b*c**2 - 5*c**2 + 4*c**2 - c = 0. Calculate c.
0, 1
Factor 0 + 2/3*k - 5/3*k**2 + 2/3*k**3.
k*(k - 2)*(2*k - 1)/3
Let g(i) be the first derivative of -i**4/20 + i**3/5 - 3*i**2/10 + i/5 + 11. Determine m so that g(m) = 0.
1
Let r(n) = -6*n**5 - 3*n**4 + 6*n**3 - 3*n - 3. Let b(z) = -7*z**5 - 4*z**4 + 7*z**3 - 4*z - 4. Let y(l) = 3*b(l) - 4*r(l). Factor y(k).
3*k**3*(k - 1)*(k + 1)
Let n(i) = i**2 + 4*i - 5. Let p be n(-5). Suppose -2*r - r + 19 = 5*x, -x + r - 1 = p. Solve 9/2*c**3 - 3/2*c**4 + 3/2*c**x + 0*c - 9/2*c**5 + 0 = 0 for c.
-1, -1/3, 0, 1
Let a be ((-8)/140)/((-1)/15). Find r, given that -2*r - 4/7 - a*r**2 = 0.
-2, -1/3
Let h(f) be the first derivative of -1/15*f**5 + 3/2*f**2 + 1 + 0*f + 0*f**3 + 1/6*f**4 + 1/120*f**6. Let z(a) be the second derivative of h(a). Factor z(b).
b*(b - 2)**2
Let u = -2737/10 - -274. Let f(b) be the second derivative of 0 + b - u*b**5 - 1/15*b**6 - 1/2*b**4 - 1/3*b**3 + 0*b**2. Find w such that f(w) = 0.
-1, 0
Let n(d) be the second derivative of 0*d**2 + 1/27*d**4 - 2*d + 1/90*d**5 + 0 + 0*d**3. Solve n(h) = 0 for h.
-2, 0
Let k(h) be the third derivative of 4*h**7/35 + h**6/6 - h**5/3 - 5*h**4/6 - 2*h**3/3 - 2*h**2 - 15*h. Suppose k(y) = 0. What is y?
-1, -1/2, -1/3, 1
Let o(q) = -2*q**2 - 10*q - 7. Let h(k) = 5*k**2 - 5*k + 1. Let f(s) = s**2 - s. Let n(i) = 6*f(i) - h(i). Let j(m) = -n(m) + o(m). Solve j(x) = 0.
-2, -1
Suppose 5*p = 27 - 12. Suppose 0 + 0*v + 0*v**p + 0*v**2 + 3/2*v**4 = 0. What is v?
0
Let v(t) be the third derivative of -t**8/784 - t**7/245 + t**5/70 + t**4/56 - 6*t**2. Factor v(p).
-3*p*(p - 1)*(p + 1)**3/7
Let h = 18 + -13. Let l be (h/(-10) - -1)*0. Determine a, given that -2/11*a**2 + l + 4/11*a = 0.
0, 2
Let s be ((-4)/30)/((-1)/30*3). Suppose -3*g + 1 = -8. Factor -2*y + s - 14/3*y**g - 8*y**2.
-2*(y + 1)**2*(7*y - 2)/3
Let p(l) be the first derivative of 5*l**6/6 + 28*l**5/5 + 12*l**4 + 16*l**3/3 - 8*l**2 - 6. Suppose p(f) = 0. Calculate f.
-2, 0, 2/5
Let g(b) be the second derivative of b**6/10 - 3*b**5/20 - b**4/4 + b**3/2 + 6*b. Factor g(j).
3*j*(j - 1)**2*(j + 1)
Let y(o) be the third derivative of o**5/12 - 35*o**4/12 + 245*o**3/6 + 2*o**2. Factor y(p).
5*(p - 7)**2
Let v be (-2)/(-2) + 3*(-9)/(-54). Let c(x) be the first derivative of -3/20*x**5 + 15/8*x**2 + 3/4*x**3 + v*x - 3/16*x**4 + 1. Solve c(f) = 0.
-1, 2
Let r be 0/(-6*4/(-8)). Suppose 4 = 2*i - 3*p - 6, 5*i - 2*p - 14 = r. Factor 0*j**3 + 0 + 0*j**i + 6/7*j**5 + 2/7*j**4 + 0*j.
2*j**4*(3*j + 1)/7
Let r(j) be the first derivative of 1/2*j**4 - 2/15*j**5 + 0*j - 2/3*j**3 + 1/3*j**2 + 3. Factor r(u).
-2*u*(u - 1)**3/3
Let u(j) = 11*j**2 + 4*j - 2. Let m(y) = 45*y**2 + 15*y - 9. Let c = 2 - 11. Let r(v) = c*u(v) + 2*m(v). Let r(i) = 0. Wha