**2 + 2*v**2.
(v - 1)*(v + 1)
Factor 1/2*d**4 + 1/2*d**3 + 0*d + 0 - d**2.
d**2*(d - 1)*(d + 2)/2
Let h(q) = q**3 + 5*q**2 - 2*q + 1. Let g be h(-4). Suppose 4*y - g = -y + 3*d, 5*d = -25. Solve 0*x**y - 2*x**2 + 2*x**4 + 0*x**4 = 0 for x.
-1, 0, 1
Let u(k) = 3*k + 10. Let h be u(-2). Determine s so that -1/4*s**h - 1/4*s**3 + 0 + 1/4*s + 1/4*s**2 = 0.
-1, 0, 1
Let g(b) be the first derivative of -2 + 0*b - 4/33*b**3 + 1/22*b**4 + 1/11*b**2. Find v such that g(v) = 0.
0, 1
Suppose 2*j = 7*j - 15. Suppose -2 - 52*x - 2 - 2 - 70*x**2 - 2 + 49*x**j = 0. Calculate x.
-2/7, 2
Let s be 6/(-3) - (-6)/3. Let w = s + 1. Factor t**2 - 5*t + 4*t - 1 + w.
t*(t - 1)
Let u(q) = 2*q - 9. Let h be u(6). Suppose -a + y = -6 - 2, y + h = 0. Factor 4*b**5 - 3*b**a - b**4 - b**4 + b**3.
b**3*(b - 1)**2
Suppose 0 = 3*k + 5*w - w - 14, -k - w + 4 = 0. Suppose 4*i + k = 4*x - 6, x = -i + 2. Factor -3*t**2 + 17*t**x - 13*t - 4 + 3*t.
2*(t - 1)*(7*t + 2)
Let -12/5*h + 0 - 2/5*h**3 + 14/5*h**2 = 0. Calculate h.
0, 1, 6
Let r be 1/(2 - 3 - -2). Determine s so that -3 - 2*s**4 + 5*s - s**4 + 4*s**4 + r - 3*s**2 - s**3 = 0.
-2, 1
Let y(s) = -s**3 + s**2 + s. Let z(i) = 7*i**3 - 2*i**2 - 7*i. Let m = 6 - 11. Let t(a) = m*y(a) - z(a). Factor t(h).
-h*(h + 2)*(2*h - 1)
Let d be 3 - 3*(-1)/3. Factor 0*f**2 + 4/7*f**3 + 0*f - 6/7*f**d + 0.
-2*f**3*(3*f - 2)/7
Suppose 0 = -3*n + 4*v - 14, 5*v - 33 = 16*n - 20*n. Factor 1/3 + 1/2*b + 1/6*b**n.
(b + 1)*(b + 2)/6
Let j = -22 + 22. Factor 0*n**4 + 0 + j*n**2 - 1/4*n + 1/2*n**3 - 1/4*n**5.
-n*(n - 1)**2*(n + 1)**2/4
Let g be 2/(-8) + (-34)/(-72). Suppose 0 = 3*h - f + 4*f + 9, -h - 4*f = 12. Factor -2/3*b**3 - 2/9*b - 2/3*b**2 - g*b**4 + h.
-2*b*(b + 1)**3/9
Let u(t) be the second derivative of t**5/70 + t**4/42 - 2*t**3/7 - 8*t. Factor u(i).
2*i*(i - 2)*(i + 3)/7
Let p(u) = -12*u**2 + 4*u + 6. Let g(b) be the first derivative of 13*b**3/3 - 5*b**2/2 - 7*b - 3. Let s(f) = -6*g(f) - 7*p(f). Factor s(w).
2*w*(3*w + 1)
Solve 1/4*s**3 - s + 1 - 1/4*s**2 = 0 for s.
-2, 1, 2
Let i(q) be the second derivative of -q**5/160 - q**4/24 - 5*q**3/48 - q**2/8 - 6*q. Factor i(f).
-(f + 1)**2*(f + 2)/8
Let b(g) be the first derivative of 2*g**5/25 - 4*g**3/15 + 2*g/5 + 11. Factor b(n).
2*(n - 1)**2*(n + 1)**2/5
Let u(p) be the second derivative of p**6/15 + 2*p**5/5 - 8*p. Factor u(d).
2*d**3*(d + 4)
Suppose 159 - 141 = 6*o. Solve 0*l + 2/9*l**4 + 2/9*l**2 + 4/9*l**o + 0 = 0.
-1, 0
Suppose 0 = 4*x - 6 + 2. Let j be (4/(-6))/(x/(-3)). Factor 6*i**3 + j*i**2 - 4*i**3 + 0*i**2.
2*i**2*(i + 1)
Let p be (-2*2)/8*-4. Suppose 5*f = 0, -5*f = -p*h - f + 8. Find k, given that -k**h + 1/3*k**5 + 0*k + 0 + k**3 - 1/3*k**2 = 0.
0, 1
Let m = -8 - 2. Let d(q) = q**4 + 2*q**3 + 2*q**2 + 2*q + 2. Let c(p) = -2*p**4 - 5*p**3 - 5*p**2 - 5*p - 5. Let t(h) = m*d(h) - 4*c(h). Factor t(u).
-2*u**4
Factor 3*s**2 + 5*s**2 - 7*s**3 - 10*s**2 - 6*s**4.
-s**2*(2*s + 1)*(3*s + 2)
Let w(b) be the second derivative of -1/42*b**7 + 0*b**3 + 0*b**4 + 0 + 0*b**2 + 1/15*b**6 - 1/20*b**5 + 2*b. Factor w(o).
-o**3*(o - 1)**2
Let p(i) = -i**3 + i - 1. Let o(v) = -5*v**3 - 6*v**2 + 12*v - 7. Let j(g) = o(g) - 6*p(g). Let c(l) = l**3 - 1. Let t(d) = -c(d) - j(d). Factor t(n).
-2*(n - 1)**3
Find w such that 0 - 1/5*w**2 + 1/5*w**4 + 1/5*w - 1/5*w**3 = 0.
-1, 0, 1
Find u, given that 8*u + 29*u**3 - 81*u**3 + 28*u**2 + 16*u**3 = 0.
-2/9, 0, 1
Let l(u) be the third derivative of u**7/42 + u**6/10 + 3*u**5/20 + u**4/12 - 10*u**2. Suppose l(m) = 0. Calculate m.
-1, -2/5, 0
Suppose 2*k = -4*r, 0 = -2*r + r + 4*k + 18. Factor 1/5 + 1/5*g - 1/5*g**r - 1/5*g**3.
-(g - 1)*(g + 1)**2/5
Let v(u) = -8*u**2 + 19*u - 5. Let p be (-12)/(-3) - 1*-1. Let w(x) = -4*x**2 + 10*x - 2. Let l(q) = p*w(q) - 2*v(q). Find h, given that l(h) = 0.
0, 3
Let b(v) = 2*v**3 - 5*v**2 - v - 8. Let d(s) = s**3 - 2*s**2 - s - 4. Let t(o) = 2*b(o) - 5*d(o). Let f(c) be the first derivative of t(c). Factor f(g).
-3*(g - 1)*(g + 1)
Suppose 0 = -5*h + 8*h. Let j(y) be the first derivative of h*y - 1/14*y**4 - 2/21*y**3 - 2 + 0*y**2. Factor j(l).
-2*l**2*(l + 1)/7
Let d = 1 - 13. Let x be (-64)/d + (-4)/2. Factor 0 + 4/3*s - 14/3*s**3 + x*s**2.
-2*s*(s - 1)*(7*s + 2)/3
Let r(s) be the first derivative of 2*s**5/15 - s**4/3 - 2*s**3/9 + 2*s**2/3 + 58. Let r(p) = 0. What is p?
-1, 0, 1, 2
Solve -2/5*k + 4/5 + 2/5*k**4 - 6/5*k**2 + 2/5*k**3 = 0 for k.
-2, -1, 1
Let g(h) = h**3 - 58*h**2 - 320*h - 652. Let j(p) = 57*p**2 + 321*p + 651. Let v(w) = -3*g(w) - 4*j(w). Factor v(i).
-3*(i + 6)**3
Let t(u) be the third derivative of u**9/20160 - u**7/1680 + u**5/160 - 5*u**4/24 + 3*u**2. Let g(y) be the second derivative of t(y). Factor g(j).
3*(j - 1)**2*(j + 1)**2/4
Suppose 3 - 55 = -2*i - 2*h, h - 95 = -4*i. Suppose 0 = 5*v - 3*q + q - 19, 4*v + q - i = 0. Suppose -v + 2*p**3 + 5 = 0. Calculate p.
0
Let a(x) = -4*x**4 - 12*x**3 + 15*x**2 - 4*x. Let p(n) = -3*n**4 - 13*n**3 + 14*n**2 - 4*n. Let w(o) = -6*a(o) + 5*p(o). What is f in w(f) = 0?
-2, 0, 2/9, 1
Let n be ((-4)/(-6))/((-3)/9). Let o be -7*n/1 - 0. Solve -o*a**2 + 0 - 4*a + 0 = 0 for a.
-2/7, 0
Suppose -2*w = -0*w - 16. Let c = 11 - w. Factor 2/7*j**4 + 2/7*j**c + 0 - 2/7*j**2 + 0*j - 2/7*j**5.
-2*j**2*(j - 1)**2*(j + 1)/7
Let x(c) = -c**3 - c**2 + c + 1. Let h(p) = -5*p**3 - 5*p**2 + 5*p + 5. Let t(a) = h(a) - 6*x(a). Solve t(y) = 0.
-1, 1
Let k(b) be the second derivative of 1/30*b**5 - 2*b + 0*b**3 + 0 + 0*b**2 + 0*b**4. Factor k(m).
2*m**3/3
Let l(a) be the second derivative of -a**5/5 + 4*a**4/3 - 10*a**3/3 + 4*a**2 - 26*a. Factor l(y).
-4*(y - 2)*(y - 1)**2
Suppose -q - 5*y + 40 = 0, 5*y - 2*y - 15 = 0. Let f be -5 + q - 0/1. Determine j so that 2*j + 2*j + f*j**2 + 4*j**2 = 0.
-2/7, 0
Let a(z) be the second derivative of z**7/5040 + z**6/1440 - z**4/4 - 3*z. Let d(w) be the third derivative of a(w). Let d(l) = 0. Calculate l.
-1, 0
Let p(i) = -14*i**2 + 20*i + 1. Let g(k) = -15*k**2 + 20*k + 2. Let o(d) = -5*g(d) + 6*p(d). Let o(c) = 0. What is c?
2/9, 2
Let 3*a**2 - 12*a - 6*a**2 - 4 - 4 - 4 = 0. What is a?
-2
Find j such that 0 - 8/15*j**2 + 0*j**3 + 0*j + 2/15*j**4 = 0.
-2, 0, 2
Let i(k) = -2*k**4 + 12*k**3 - 3*k**2 - 11*k + 6. Let n(o) = o**3 + o**2. Let f(q) = -2*i(q) + 6*n(q). What is c in f(c) = 0?
-1, 1/2, 2, 3
Let s = -12283/22 - -1125/2. Let -10/11*p**4 + 8/11*p + s*p**3 + 16/11 - 60/11*p**2 = 0. What is p?
-2/5, 1, 2
Let c be (-4 + (-14)/(-5))*(-5)/2. Let o(i) be the second derivative of 0 - 1/6*i**4 - 9*i**2 + 2*i**c + 4*i. Suppose o(z) = 0. What is z?
3
Let w(m) be the third derivative of -m**8/168 - m**7/60 - m**6/120 + m**5/120 - 9*m**2. Factor w(x).
-x**2*(x + 1)**2*(4*x - 1)/2
Let f(s) = -3*s**3 - 2*s**2 - s. Let y be f(-1). Suppose 0 = -3*w + y*p + 6, 4*w + 4*p + 22 = 10. Factor 6*d - 2*d**2 - 4 + 0 + 0*d**2 + w*d.
-2*(d - 2)*(d - 1)
Factor 4*v**4 + 28 + 96*v**2 + 23 + 13 - 128*v - 32*v**3.
4*(v - 2)**4
Suppose 0 = -s + 4*s - 3*y, -5*y = -s - 8. Let u = 7 - 7. Suppose -j + 2 + 2*j**3 + u*j**3 - j - 2*j**s = 0. What is j?
-1, 1
Let u = 1115/2 - 545. Let t = -12 + u. Find j such that -1/4*j**2 + 1/4 - t*j + 1/2*j**3 = 0.
-1, 1/2, 1
Let z(p) be the third derivative of -p**6/60 + p**5/30 + p**4/6 - 2*p**2. Suppose z(g) = 0. What is g?
-1, 0, 2
Let h = -236 + 238. Suppose 1 - d + 1/4*d**h = 0. What is d?
2
Let r(u) be the second derivative of -u**5/60 + u**4/36 + u**3/18 - u**2/6 - 10*u. Factor r(t).
-(t - 1)**2*(t + 1)/3
Let f be 1/(1/4 - 0). Factor 2*g**3 - 16*g**f + 7*g**4 + 2*g**5 - 4*g**5 - 2*g**2 + 11*g**4.
-2*g**2*(g - 1)**2*(g + 1)
Let b(x) be the third derivative of -1/10*x**5 + 0*x**6 - 1/6*x**4 + 0 + 1/105*x**7 + 0*x - 2*x**2 + 0*x**3. Solve b(m) = 0 for m.
-1, 0, 2
Let q(z) = -14*z**4 - 8*z**3 + 14*z**2 - 3*z - 11. Let g(w) = -5*w**4 - 3*w**3 + 5*w**2 - w - 4. Let r(d) = 11*g(d) - 4*q(d). Factor r(t).
t*(t - 1)**2*(t + 1)
Let f = 40/27 + -226/189. Factor -f*q**2 + 6/7 + 4/7*q.
-2*(q - 3)*(q + 1)/7
Let x = 10 - 6. Let r(w) = 2*w - 4. Let m be r(x). Factor 2*o**4 - 3*o**3 - o**3 - 8 + 6*o**2 - 4*o**m + 8*o.
-2*(o - 1)**2*(o + 2)**2
Let d(q) be the third derivative of -5*q**8/336 - 2*q**7/21 + q**6/12 + q**5 - 15*q**4/8 + 4*q**2. Determine b, given that d(b) = 0.
-3, 0, 1
Let d be 4 + (-4 - (-3 - -1)). Let u(q) be the second derivative of 0 + 1/3