0 + d**4/120 - 4*d**2. Factor s(i).
-i*(i - 1)/5
Let j be ((-28)/(-126))/(2/4). Solve 0*l + 2/9*l**3 + 0 + j*l**2 = 0.
-2, 0
Let g(x) be the second derivative of x**4/60 + 7*x**3/30 - 4*x**2/5 - 32*x. Suppose g(b) = 0. Calculate b.
-8, 1
Let n(f) = -5*f + 5. Let i(c) = -c. Let r(y) = -4*i(y) + n(y). Let z be r(0). Factor -1/4*x**3 + 0*x + 1/4*x**z + 1/2*x**4 + 0 - 1/2*x**2.
x**2*(x - 1)*(x + 1)*(x + 2)/4
Let u(s) be the first derivative of -s**3/3 + s**2/2 - s + 2. Let a(x) = -9*x**2 + 21*x - 17. Let m(q) = -a(q) + 5*u(q). Factor m(b).
4*(b - 3)*(b - 1)
Let u = 8 - 4. Suppose 2*a = -u*g + 6, 5*g = -3*a + 4 + 2. Solve -g*r - 2 + r**3 + 2*r**2 + 2*r + 0 = 0 for r.
-2, -1, 1
Let x = 15 + -15. Let t be (-7 - -8) + (x - -2). What is p in 2*p**5 - 16/5*p**4 - 2/5*p + 4*p**2 - 4/5 - 8/5*p**t = 0?
-1, -2/5, 1
Let l(a) be the second derivative of -a**7/21 - a**6/15 + a**5/10 + a**4/6 - 5*a. Suppose l(w) = 0. What is w?
-1, 0, 1
Let j = -3 - -6. Let f be (-1)/(j/(-6)) - -6. Let -f*s**4 - 27*s**5 - 5*s**2 + 29*s**2 + 26*s**4 + 60*s**3 = 0. What is s?
-2/3, 0, 2
Let l(h) be the third derivative of -h**6/360 + h**5/45 - h**4/24 - 11*h**2. Find w such that l(w) = 0.
0, 1, 3
Suppose -c = 3*s - 1, 2*s - 9 = -s - 3*c. Let q be (0*s/4)/2. Find g, given that -3/4*g**2 + 3/2*g + q = 0.
0, 2
Let a(k) be the second derivative of -k**7/21 + 4*k**6/15 - k**5/10 - 5*k**4/3 + 4*k**3/3 + 8*k**2 + k. Factor a(o).
-2*(o - 2)**3*(o + 1)**2
Let k = 2/1251 + 2488/8757. Find f such that -4/7*f**3 - k*f**2 + 2/7 + 4/7*f = 0.
-1, -1/2, 1
Let s = 276/551 + -1/1102. Suppose -s*d**4 + 0 - d**2 + 0*d - 3/2*d**3 = 0. Calculate d.
-2, -1, 0
Let v be (3 + 2)*(-2)/5. Let m be v/(-8) - (-27)/(-12). Let c(x) = -6*x**2 + 4*x + 2. Let i(z) = z**3 + z**2 - z - 1. Let b(h) = m*i(h) - c(h). Factor b(k).
-2*k*(k - 1)**2
Let j = -30 + 30. Let u(m) be the third derivative of j*m**4 + 1/15*m**3 - 1/150*m**5 - 2*m**2 + 0 + 0*m. Let u(d) = 0. What is d?
-1, 1
Suppose 4*n - 55 - 165 = 0. Let c be 11/n + (-1)/(-5). Factor 0 + c*g**2 - 4/5*g.
2*g*(g - 2)/5
Let b = -59/6 - -421/42. Let z(l) be the first derivative of -1 + 1/7*l**2 - b*l**3 - 1/7*l**4 + 1/21*l**6 + 2/35*l**5 + 2/7*l. Factor z(n).
2*(n - 1)**2*(n + 1)**3/7
Let f(h) be the second derivative of 6*h**6/5 + 43*h**5/5 + 53*h**4/3 + 26*h**3/3 - 12*h**2 + 2*h. Solve f(o) = 0.
-3, -1, 2/9
Let g(t) = -2 + 2*t**5 - 2*t**4 + 2*t**3 - t - 3*t**5 + 2*t**2 + 2*t**5 + 2*t**5. Let w(h) = -h**5 - h**3 + 1. Let b(k) = g(k) + 2*w(k). Factor b(p).
p*(p - 1)**3*(p + 1)
Let g be (8 - 3)*4/10. Suppose 4/5*v + 0 + 2/5*v**g = 0. What is v?
-2, 0
Let q(n) be the first derivative of 108*n**5/5 - 27*n**4 - 168*n**3 - 200*n**2 - 96*n - 8. Factor q(m).
4*(m - 3)*(3*m + 2)**3
Let t(b) be the second derivative of -b**6/5 + 11*b**5/10 - 5*b**4/2 + 3*b**3 - 2*b**2 - 19*b. Suppose t(o) = 0. Calculate o.
2/3, 1
Let x = -5 + -3. Let r be ((-996)/(-8))/((-6)/x). Let -455*k**3 + 16 - 30*k**2 + 40*k - r*k**2 - 35*k**3 = 0. Calculate k.
-2/5, -2/7, 2/7
Solve 64/3*x + 16/3*x**3 - 32/3 - 16*x**2 - 2/3*x**4 = 0 for x.
2
Let w = 28 - 7. Factor 6*q**2 + 5*q**5 + w*q**3 + 22*q**4 + 2*q**4 + 4*q**5.
3*q**2*(q + 1)**2*(3*q + 2)
Let c(w) be the second derivative of w**7/1470 + w**6/420 - w**5/210 - 2*w**3/3 - 2*w. Let s(x) be the second derivative of c(x). Factor s(i).
2*i*(i + 2)*(2*i - 1)/7
Let n be 33/55*40/6. Factor z**4 + 1 - 3/4*z**2 - n*z + 11/4*z**3.
(z - 1)*(z + 2)**2*(4*z - 1)/4
Let k(z) be the first derivative of z**4/8 + z**3/2 + 3*z**2/4 + z/2 - 4. What is c in k(c) = 0?
-1
Factor -12*w**4 - 4*w + 4*w**5 + 11*w - 7*w + 8*w**3.
4*w**3*(w - 2)*(w - 1)
Let x(p) = 59*p**3 + p**2. Let i be x(1). Let f be (-1)/3 - i/(-18). Factor 4*s**3 + 2*s**4 - 3*s**f + s + 2*s**3 - 3*s**4 - 3*s**2.
-s*(s - 1)**3
Let t(f) be the second derivative of f**4/12 + 2*f**3/3 + 2*f**2 - 6*f. Suppose t(u) = 0. Calculate u.
-2
Let c(w) = -18*w**4 - 11*w**3 - 5*w. Let z(s) = 9*s**4 + 5*s**3 + 2*s. Let o(j) = -2*c(j) - 5*z(j). Find f, given that o(f) = 0.
-1/3, 0
Let i(k) be the second derivative of 2/15*k**6 - 5*k + 0*k**3 + 0*k**5 - 1/3*k**4 + 0 + 0*k**2. Factor i(b).
4*b**2*(b - 1)*(b + 1)
Let a(o) = 6*o**3 + 38*o**2 + 98*o + 64. Let z(u) = 13*u**3 + 77*u**2 + 197*u + 128. Let l(k) = 5*a(k) - 2*z(k). Factor l(m).
4*(m + 1)*(m + 4)**2
Let y = -24 - -29. Factor -u + 2*u**4 - u**y + 2*u**4 + 2*u**5 - 3*u + 3*u**3 - 4*u**2.
u*(u - 1)*(u + 1)*(u + 2)**2
Let w(n) be the second derivative of -3*n**5/100 - n**4/20 + n**3/5 + 12*n. Let w(d) = 0. What is d?
-2, 0, 1
Let t(c) = 6*c**4 + 6*c**3 - 12*c**2. Let g(q) = 5*q**4 + 5*q**3 - 12*q**2. Let w(b) = 4*g(b) - 3*t(b). Factor w(d).
2*d**2*(d - 2)*(d + 3)
Factor -2/7*p**2 + 6/7*p + 8/7.
-2*(p - 4)*(p + 1)/7
Let i(t) be the second derivative of 3*t - 4*t**2 + 0 - 12*t**3 - 49/15*t**6 - 109/6*t**4 - 63/5*t**5. Solve i(z) = 0 for z.
-1, -2/7
Let g(p) be the third derivative of -p**5/20 + 18*p**2. What is c in g(c) = 0?
0
Let 10/9*t**3 - 4/9*t - 4/9*t**4 - 2/9*t**2 + 0 = 0. Calculate t.
-1/2, 0, 1, 2
Let o = -290 + 292. Factor 3/4*a**3 + a**o + 0 + 1/4*a.
a*(a + 1)*(3*a + 1)/4
Let r(w) be the first derivative of 2*w**6/5 + 3*w**5/10 - 7*w**4/16 + w**3/8 - 2*w - 3. Let t(o) be the first derivative of r(o). Factor t(s).
3*s*(s + 1)*(4*s - 1)**2/4
Suppose -4*p + 22 = 5*h, -5*h - 4*p = -2*p - 16. Let n(b) be the first derivative of -h*b - b**2 + 4/3*b**3 + 1. Solve n(j) = 0 for j.
-1/2, 1
Let g(k) = k**3 + 8*k**2 - k + 5. Let p(w) = -w**3 - 8*w**2 - 4. Let v(x) = -6*g(x) - 7*p(x). Let u be v(-7). Factor 4*s**2 + 0*s**2 + u*s**2 + 2*s.
s*(9*s + 2)
Let b(g) be the first derivative of g**4/28 + g**3/21 - g**2/14 - g/7 + 7. Factor b(l).
(l - 1)*(l + 1)**2/7
Let p(b) be the first derivative of -b**6/51 + b**4/17 - b**2/17 - 6. What is x in p(x) = 0?
-1, 0, 1
Let g(a) = 6*a**3 - 24*a**2 - 28*a - 10. Let b(o) = 5*o**3 - 24*o**2 - 27*o - 11. Let x(z) = -2*b(z) + 3*g(z). Let x(c) = 0. What is c?
-1/2, 4
Let 0*t + 4/3*t**4 - 2/3*t**3 + 0 + 0*t**2 - 2/3*t**5 = 0. Calculate t.
0, 1
Factor -3 + 3 - 3*m + 2*m - 2 + m**2.
(m - 2)*(m + 1)
Factor 38*b + 4*b**2 - 6*b**3 + 10 - 11*b + 6 - 2*b**4 - 3*b.
-2*(b - 2)*(b + 1)*(b + 2)**2
Let k be (6*(-4)/(-88))/2. Let r = k - -15/11. Factor r*u**3 + 0 - 3/2*u + 3/2*u**2 - 3/2*u**4.
-3*u*(u - 1)**2*(u + 1)/2
Let h(u) be the first derivative of u**3/15 + 2. Let h(x) = 0. What is x?
0
Suppose -5*j + 22 = 3*h, -2*h + 0*h + 16 = 4*j. Suppose 0 = h*p - 6 - 10, -2*k = 2*p - 8. Factor 4/9*o**4 + 0*o + 2/9*o**3 + 2/9*o**5 + k*o**2 + 0.
2*o**3*(o + 1)**2/9
Let -s**3 + 0 - 1/2*s**2 + s + 1/2*s**4 = 0. Calculate s.
-1, 0, 1, 2
Factor 2/9 + 4/3*f + 2*f**4 + 28/9*f**2 + 4/9*f**5 + 32/9*f**3.
2*(f + 1)**4*(2*f + 1)/9
Determine v, given that 14/9*v**5 + 0 - 10/9*v**3 - 2*v**4 + 2*v**2 - 4/9*v = 0.
-1, 0, 2/7, 1
Let q = -67/60 - -7/6. Let w(z) be the first derivative of -2 + 1/12*z**3 + 1/16*z**4 + 0*z - q*z**5 + 0*z**2 - 1/24*z**6. Suppose w(a) = 0. What is a?
-1, 0, 1
Let b be (-1 - -1)/((-44)/22). Let w(j) be the third derivative of -1/240*j**5 + 0*j**4 + b + 0*j - 3*j**2 + 1/480*j**6 + 0*j**3. Factor w(n).
n**2*(n - 1)/4
Let d(t) be the first derivative of -3/2*t**2 - 1 + 0*t + 1/240*t**5 + 1/24*t**3 - 1/48*t**4. Let j(n) be the second derivative of d(n). Factor j(i).
(i - 1)**2/4
Factor -1/5*f + 0 + 1/5*f**3 + 0*f**2.
f*(f - 1)*(f + 1)/5
Let k = 160/3 - 53. Solve 1/2*j - 7/6*j**2 + 5/6*j**4 + k - 1/2*j**3 = 0 for j.
-1, -2/5, 1
Suppose -4*m = 44 - 56. Let d(j) be the first derivative of -m + 0*j**2 + 2/21*j**3 - 2/7*j. Factor d(k).
2*(k - 1)*(k + 1)/7
Suppose g - 5*g = -16. Let m be 0/(0 + -2 + g). Let 0*x + 2/3*x**4 + 0*x**3 + m - 2/3*x**2 = 0. Calculate x.
-1, 0, 1
Suppose 2 - 2*p**3 - 5*p + 7*p - 4*p**2 + 2*p**2 = 0. What is p?
-1, 1
Let q(y) = y - 1. Let m(o) = -2*o**3 + 12*o**2 - 19*o + 1. Let k(z) = -m(z) - q(z). Factor k(t).
2*t*(t - 3)**2
Let d(h) be the first derivative of -h**4/18 - h**3/3 - 2*h**2/3 - h + 1. Let s(l) be the first derivative of d(l). Factor s(o).
-2*(o + 1)*(o + 2)/3
Let m(c) = -4*c**3 - 3*c**2 - 4*c. Suppose -3*u = u + 24. Let q(f) = f**3 + f**2 + f. Let t(r) = u*m(r) - 22*q(r). Determine o so that t(o) = 0.
0, 1
Let r be (1*-6)/((-12)/(-8)) - -6. Factor 1/4 + 1/2*m + 1/4*m**r.
(m + 1)**2/4
Let s = -20 + 6. Let m be 35/(-25)*