**4 + 0. Factor r(i).
(i - 1)*(i + 1)**2
Let j(p) be the second derivative of p**7/168 - p**6/120 - p**5/80 + p**4/48 - 4*p. Solve j(v) = 0 for v.
-1, 0, 1
Let i be (-18)/(-8) - (-1)/(-4). Let o be (-6)/(-14) - (4 + 393/(-63)). Solve o*a + 4/3*a**3 - 10/3*a**i - 2/3 = 0 for a.
1/2, 1
Let o(s) = s**3 + 8*s**2 + 12*s + 1. Let w be o(-6). Let c(m) be the first derivative of 0*m**3 + w + 1/15*m**5 - 1/12*m**4 + 0*m + 0*m**2. Factor c(h).
h**3*(h - 1)/3
Let 108*u - 2 - 250*u**2 - 230*u**2 - 4 - 2 + 704*u**3 = 0. Calculate u.
2/11, 1/4
Let g(l) be the second derivative of l**4/42 - l**3/7 - 12*l. Factor g(i).
2*i*(i - 3)/7
Let r(n) be the first derivative of 0*n + 0*n**3 - 1/96*n**4 + n**2 - 1/480*n**6 - 1/120*n**5 + 3. Let p(g) be the second derivative of r(g). Factor p(i).
-i*(i + 1)**2/4
Let b(u) = u**2 - 5*u + 3. Let q be b(5). Let k = -1 + q. Solve y - 4*y**2 - y + k*y**3 = 0.
0, 2
Factor 0*u + 4*u - 300*u**2 + 298*u**2.
-2*u*(u - 2)
Let w(p) be the third derivative of p**6/15 + p**5/3 + p**4/3 + 17*p**2. Factor w(r).
4*r*(r + 2)*(2*r + 1)
Let m(s) be the second derivative of s**4/8 + s**3 - 15*s**2/4 - 22*s. Determine a so that m(a) = 0.
-5, 1
Suppose -v = a + 3 - 5, -a = 5*v - 10. Let j(l) be the third derivative of -1/120*l**5 + 0*l**6 + 1/420*l**7 + 0 + 0*l**3 + 0*l**4 + 0*l - 2*l**v. Factor j(r).
r**2*(r - 1)*(r + 1)/2
Let t(r) be the third derivative of r**5/330 + r**4/44 + 2*r**3/33 + 45*r**2. Factor t(p).
2*(p + 1)*(p + 2)/11
Let j = 1607/15030 + -16/167. Let d(p) be the second derivative of 0*p**2 - 1/30*p**5 - j*p**6 + 0 - 1/36*p**4 + 0*p**3 - p. Suppose d(l) = 0. Calculate l.
-1, 0
Let q = -12 + 13. Factor -j**2 - 2 - q - 2*j**2 + 6*j.
-3*(j - 1)**2
Factor 1/4*b**2 - 5*b + 19/4.
(b - 19)*(b - 1)/4
Let c = -5 + 7. Solve 4*q - 2 + 0 + 2*q**c - 4*q = 0.
-1, 1
Suppose 16 = 6*f - 8. Determine k, given that 0*k**3 - 2/9*k**5 + 0*k + 0*k**f + 0*k**2 + 0 = 0.
0
Let i(u) = 5*u**3 + 3*u**2 + 2*u + 4. Let g(s) = -s**3 - s**2 - s - 1. Let b(d) = 4*g(d) + i(d). Factor b(h).
h*(h - 2)*(h + 1)
Let t(d) be the first derivative of 0*d**2 + 1/4*d - 1 - 1/12*d**3. Factor t(j).
-(j - 1)*(j + 1)/4
Suppose 4*x - 2 = -w, -2*x + 2 = w - 0*x. Let h(z) be the second derivative of -1/6*z**4 + 0 + 0*z**w - 1/3*z**3 + z. Determine g so that h(g) = 0.
-1, 0
Let m(d) be the third derivative of d**7/1050 + d**6/120 + 2*d**5/75 + d**4/30 - 26*d**2. Factor m(h).
h*(h + 1)*(h + 2)**2/5
Find w, given that -1 - 1/2*w + 3/2*w**2 = 0.
-2/3, 1
Let u = -21 - -27. Let l(v) be the third derivative of 2*v**2 - 1/300*v**u + 0*v**5 + 1/60*v**4 + 0*v**3 + 0 + 0*v. Find y, given that l(y) = 0.
-1, 0, 1
Let t(z) = 6*z**3 - 7*z**2 + z. Let k(u) be the second derivative of 3*u**5/20 - u**4/4 + u. Let g = -4 - -9. Let d(j) = g*k(j) - 2*t(j). Factor d(f).
f*(f - 1)*(3*f + 2)
Let f be -2*2/(-2) + -4. Let t be -2*(3 + f)*-4. Factor -4*m**2 - 4*m - t - 4*m + 2*m**2.
-2*(m + 2)**2
Let p be -2 + 4 - (-1 - -3). Factor -4/5*y**3 + 2/5*y + 0*y**4 + p*y**2 + 0 + 2/5*y**5.
2*y*(y - 1)**2*(y + 1)**2/5
Let t(x) be the second derivative of x**7/21 + x**6/5 - x**5/10 - x**4/2 - 32*x. Factor t(f).
2*f**2*(f - 1)*(f + 1)*(f + 3)
Let 12*i**4 - 6*i**2 - 8*i**3 - 4*i**5 - 17 + 13 - 2*i**2 + 12*i = 0. Calculate i.
-1, 1
Let b(a) = a**3 + a. Let m(d) = 6*d**4 + d**3 - 15*d**2 + 4*d. Let l = -3 + 2. Let f(p) = l*m(p) - 2*b(p). Find v such that f(v) = 0.
-2, 0, 1/2, 1
Suppose -3*y - 2*p + 90 = 2*y, 0 = -5*p. Suppose j + 4 = 3*o, -4*o - o + y = 4*j. Factor 0*a**j + 0*a**4 + 0*a**3 + 0 + 2/7*a**5 + 0*a.
2*a**5/7
Let z(a) be the first derivative of -4*a**5/15 + 7*a**4/6 - 2*a**3 + 5*a**2/3 - 2*a/3 + 13. Factor z(p).
-2*(p - 1)**3*(2*p - 1)/3
Let n = -545/52 + -1/52. Let o = -10 - n. Factor -1/2*r - 1/2*r**4 + o*r**3 + 1/2*r**2 + 0.
-r*(r - 1)**2*(r + 1)/2
Let x = -8 - -10. Let n(z) be the first derivative of 0*z**2 - 1/6*z**4 - x + 1/3*z**6 + 8/15*z**5 - 4/9*z**3 + 0*z. Find g, given that n(g) = 0.
-1, 0, 2/3
Let r(a) be the third derivative of a**8/1344 - a**6/480 + 29*a**2. Suppose r(g) = 0. What is g?
-1, 0, 1
Let b be 8/(2 + -1 + -2). Let w be b/10*(-4)/8. Factor 4/5*y + 2/5*y**2 + w.
2*(y + 1)**2/5
Let q be 126/4 + (-1)/(-2). Find p such that -14*p**4 + 51*p**3 + 2*p**5 - q*p + 6*p**2 - 19*p**3 - 22*p**2 + 32 = 0.
-1, 2
Let n(i) be the second derivative of -i**5/120 - i**4/24 - i**3/12 + i**2 + 2*i. Let l(q) be the first derivative of n(q). Suppose l(w) = 0. Calculate w.
-1
Find d such that 18 - 14 - d**3 - d**2 - 3*d**2 - d**3 + 2*d = 0.
-2, -1, 1
Let n(q) be the first derivative of -q**6/30 + q**5/20 + q**4/12 - q**3/6 + q - 3. Let s(w) be the first derivative of n(w). Suppose s(k) = 0. Calculate k.
-1, 0, 1
Let i(d) be the first derivative of d**6/9 - d**4/2 + 4*d**3/9 + 3. Factor i(q).
2*q**2*(q - 1)**2*(q + 2)/3
Let u = -11 + 13. Factor 12*o - 12*o - u*o**2.
-2*o**2
Solve -8/7*k + 0 + 8/7*k**3 - 20/7*k**2 + 20/7*k**4 = 0 for k.
-1, -2/5, 0, 1
Let s(f) be the second derivative of f**5/80 - f**4/16 + 2*f. Factor s(h).
h**2*(h - 3)/4
Let l = -64/15 + 313/105. Let k = -1 - l. Factor 8/7*s + 8/7 + k*s**2.
2*(s + 2)**2/7
Let m = 2/79 + 67/474. Let x(p) be the first derivative of -1 - 1/4*p**2 - m*p**3 + 1/2*p + 1/8*p**4. Determine u, given that x(u) = 0.
-1, 1
Let b(x) be the second derivative of 3*x + x**3 + 2*x**2 + 1/6*x**4 + 0. Factor b(m).
2*(m + 1)*(m + 2)
Let v = 1 - 0. Let d be (-2)/(-3)*(2 + v). Factor 4/7*k - 4/7*k**3 + 2/7 - 2/7*k**d.
-2*(k - 1)*(k + 1)*(2*k + 1)/7
Let q(o) be the second derivative of -1/120*o**5 + 1/24*o**4 - 1/12*o**3 - 4*o + 1/12*o**2 + 0. Solve q(v) = 0 for v.
1
Suppose 5*u + 0*u = 15. Factor j**2 - 3*j**2 + 20*j**u - 21*j**3.
-j**2*(j + 2)
Suppose -5/4*w**2 + 15/4*w + 25/2 = 0. What is w?
-2, 5
Let j(i) be the second derivative of 0 - 3/20*i**5 + 0*i**3 - 1/12*i**4 - 1/10*i**6 + 0*i**2 - 1/42*i**7 - 8*i. Factor j(l).
-l**2*(l + 1)**3
Let t(f) be the third derivative of 0*f**4 - 2/15*f**6 + 1/5*f**5 + 0 - 4*f**2 + 2/105*f**7 + 0*f**3 + 0*f. Suppose t(q) = 0. What is q?
0, 1, 3
Let n(b) = b**2 + b + 1. Let t(s) = 15*s**2 + 33*s + 36. Let l(f) = 18*n(f) - t(f). Factor l(a).
3*(a - 6)*(a + 1)
Let s(o) be the first derivative of -1/24*o**6 + 1/8*o**4 + 3 + 0*o + 0*o**3 + 0*o**5 - 1/8*o**2. Find f such that s(f) = 0.
-1, 0, 1
Suppose -2*l + 6 = -0*l. Determine y, given that 3*y**l + y + 3 - 3*y**2 + y - 5*y = 0.
-1, 1
Factor 0*z + 0*z**2 + 0 + 1/4*z**3.
z**3/4
Let f(q) be the second derivative of 0 + 1/30*q**4 + 4*q - 1/150*q**6 - 1/210*q**7 - 1/10*q**2 - 1/30*q**3 + 1/50*q**5. Factor f(x).
-(x - 1)**2*(x + 1)**3/5
Suppose -2*c**3 - 3*c - c - 2*c**3 - 16*c**2 - 12*c = 0. Calculate c.
-2, 0
Let c(k) = -6*k**3 + 48*k**2 - 121*k + 103. Let m(i) = -3*i**3 + 24*i**2 - 60*i + 51. Let t(u) = 3*c(u) - 5*m(u). Factor t(f).
-3*(f - 3)**2*(f - 2)
Let t = -131/2 + 66. What is h in 5/2*h**3 - 1/2*h**4 - t - 5/4*h**5 - 5/4*h + h**2 = 0?
-1, -2/5, 1
Let o(j) = 4*j**4 + j**3. Let v be 3/(2 - 3) + 5. Let i(r) = -4*r**4 - 2*r**3. Let d(s) = v*o(s) + 3*i(s). Factor d(c).
-4*c**3*(c + 1)
Factor 0 - 3/7*f**4 + 12/7*f**2 + 3/7*f**3 - 12/7*f.
-3*f*(f - 2)*(f - 1)*(f + 2)/7
Suppose -u = 5*v + 987, -2*v - 3*u - 74 = 326. Let x = 596/3 + v. Suppose 8/3*c**2 + c - 2/3 + 6*c**4 - x*c**5 - 22/3*c**3 = 0. Calculate c.
-2/5, 1
Let m = 49 - 74. Let q = -20 - m. Determine p, given that -q*p**3 + 19/3*p**4 - 7/3*p**5 + 0 + 2/3*p + 1/3*p**2 = 0.
-2/7, 0, 1
Let z(c) be the third derivative of -c**4/24 + 2*c**2. Let w be z(-4). Suppose -w*m**3 + m**2 + m**2 + 2*m**3 = 0. Calculate m.
0, 1
Let g = 14601 + -2847373/195. Let x = g - -16/15. Suppose 0 + 0*c - 2/13*c**4 - 2/13*c**5 + 2/13*c**2 + x*c**3 = 0. Calculate c.
-1, 0, 1
Let x(b) be the second derivative of -1/10*b**2 + 1/15*b**4 + 2*b + 1/10*b**3 + 0. Factor x(w).
(w + 1)*(4*w - 1)/5
Solve 10*z + 0*z - 11*z**2 + 3 - z**2 - z = 0 for z.
-1/4, 1
Let i(y) = y + 2. Let t be i(0). Suppose 0 = 3*c + t*c. Let 1/4*o**4 + c + 0*o**3 + 0*o**2 + 0*o = 0. Calculate o.
0
Let r(v) = -3*v**2 + 15*v + 3. Let s(g) = 2*g**2 - 14*g - 4. Let d(b) = 4*r(b) + 5*s(b). Factor d(t).
-2*(t + 1)*(t + 4)
Let r(h) be the third derivative of h**5/420 - h**3/42 + h**2. Solve r(g) = 0.
-1, 1
Factor -j**2 - 7*j**3 - 25*j**4 + j**4 - 16*j**5 - 2*j**3.
-j**2*(j + 1)*(4*j + 1)**2
Let a(g) = -1