**2 - 4/5*w - 2/5.
-2*(w + 1)**2/5
Let q(g) = -g**3 - 3*g**2 - 5*g - 3. Let x be q(-2). Let i(z) be the first derivative of -2*z + 2 + 0*z**2 + 2/3*z**x. Find c, given that i(c) = 0.
-1, 1
Let d(r) be the third derivative of 0 - 1/36*r**4 + 1/180*r**6 - 1/90*r**5 - 3*r**2 + 0*r**3 + 0*r + 1/315*r**7. Determine j so that d(j) = 0.
-1, 0, 1
Suppose 0 = -5*r + 2*f + 23, -4*r + 3*r = -2*f - 3. Factor 4*c**4 - 4*c**2 - 2*c + 0*c**5 + 2*c + c**r - 4*c + 3*c**3.
c*(c - 1)*(c + 1)*(c + 2)**2
Let p(b) be the second derivative of b**7/2100 - b**5/300 - b**3/6 + 3*b. Let c(i) be the second derivative of p(i). Factor c(n).
2*n*(n - 1)*(n + 1)/5
Let x be ((-2)/(-12) + 0)/(762/1016). Solve 2/3*s**2 + 0 - 2/3*s**3 - 2/9*s + x*s**4 = 0.
0, 1
Find b such that -2/3*b**2 + 14/9*b - 4/9 = 0.
1/3, 2
Suppose 0 = -v - 1 + 4. Let c(f) be the first derivative of 2 - 2/3*f**2 - 4/3*f - 1/9*f**v. Determine l so that c(l) = 0.
-2
Suppose 2*i + 3*i - 51 = -2*r, -2*i - 4*r = -30. Let z(j) = -j**2 - 6*j - 5. Let u be z(-4). Factor -3*d**3 - d**4 + i - d - u*d**2 - 9.
-d*(d + 1)**3
Suppose 2*b + 7 + 3 = 5*m, -2 = -m - 5*b. Determine g, given that -g + g**m - 5*g**2 + g**2 - 5*g = 0.
-2, 0
Suppose -9*v = -4*v - 15. Let q(u) be the third derivative of u**2 + 1/420*u**7 + 0*u + 0*u**4 + 0*u**v - 1/120*u**5 + 0*u**6 + 0. Find o, given that q(o) = 0.
-1, 0, 1
Determine c so that 12*c + 28/3*c**2 + 8/3 = 0.
-1, -2/7
Factor -8/5*v - 2/5*v**2 - 8/5.
-2*(v + 2)**2/5
Let p be (-2*3/33)/(6/(-24)). Factor -2/11*x**2 + 8/11*x - p.
-2*(x - 2)**2/11
Let l(c) be the first derivative of -c**6/9 + c**4/2 - 4*c**3/9 - 4. Factor l(o).
-2*o**2*(o - 1)**2*(o + 2)/3
Let k(q) be the third derivative of -q**5/270 + q**3/27 - 4*q**2. Factor k(y).
-2*(y - 1)*(y + 1)/9
Let l(s) = -9*s**3 + 12*s**2 - 6*s. Let i(b) = 8*b**3 - 12*b**2 + 7*b. Let o(t) = -6*i(t) - 5*l(t). Factor o(w).
-3*w*(w - 2)**2
Suppose 0*l = -3*l + 18. Determine k, given that k**2 - 2*k - l*k**2 + k**2 + 2*k**3 + 4 = 0.
-1, 1, 2
Suppose 18 = 2*n + 240. Let i = n + 557/5. Let -8/5*s**2 + 0 + i*s = 0. Calculate s.
0, 1/4
Let b(s) be the first derivative of -5*s**4/4 - 88*s**3/3 - 369*s**2/2 + 162*s + 12. What is x in b(x) = 0?
-9, 2/5
Let p = 2 + -2/3. Factor p*i + 2/9*i**2 + 2.
2*(i + 3)**2/9
Let y(m) be the third derivative of -1/72*m**4 + 0*m + 0 - m**2 + 1/360*m**5 - 1/12*m**3. Factor y(j).
(j - 3)*(j + 1)/6
Let b(n) = -n**2 + 4*n - 3. Let o(g) = -2*g**2 + 9*g - 5. Let h(p) = 10*b(p) - 6*o(p). Factor h(d).
2*d*(d - 7)
Suppose 5*o - 38 = -8. Let -4*s**2 + 2 + 2*s**2 + 2*s + 3*s**3 + s**3 - o*s**3 = 0. Calculate s.
-1, 1
Suppose 2*o + 6 = 2*t, -2*o + 1 + 1 = 2*t. Let i = 0 + t. Factor -4*w + w + 2*w**i + 2*w - 3*w.
2*w*(w - 2)
Suppose -2*p - 6 = -4*k, 2*p = -5*k + 11 + 1. Let g(v) = v**2 + 2*v + 2. Let h be g(-2). Factor z**2 - p - z**h - z**2 - 2*z.
-(z + 1)**2
Let a(h) = -h**2 - 3. Let g(u) be the second derivative of -u**4/4 - 4*u**2 - 5*u. Let t(x) = -11*a(x) + 4*g(x). Factor t(d).
-(d - 1)*(d + 1)
Let h = -5/496 - -5591/13392. Let c(y) be the second derivative of -4*y + 2/9*y**4 - h*y**3 + 2/9*y**2 + 0 + 1/10*y**5. Factor c(b).
2*(b + 2)*(3*b - 1)**2/9
Let r be -15 - -14 - (0 - 4). Let r*d + 3*d**4 + 27*d**3 + 8*d**4 - 36*d**3 - 5*d**4 = 0. Calculate d.
-1/2, 0, 1
Factor 1/3*q**2 + 0*q + 1/3*q**4 + 0 - 2/3*q**3.
q**2*(q - 1)**2/3
Solve r**2 + 0 + 1/4*r**3 + r = 0.
-2, 0
Let f be (6 - 5)*(-1 + -1 - -5). Factor -1/2*a**2 - 1/2*a**f + a + 0.
-a*(a - 1)*(a + 2)/2
Let x(h) be the first derivative of h**6/12 - h**5/5 + h**3/3 - h**2/4 + 12. Factor x(g).
g*(g - 1)**3*(g + 1)/2
Let h = 26 + -23. Suppose 0 - 16/5*m - 56/5*m**2 - 12*m**h - 18/5*m**4 = 0. What is m?
-2, -2/3, 0
Let z(b) be the third derivative of -b**5/60 + b**4/4 + 7*b**3/6 - 12*b**2. Let n be z(7). Factor n + 0*i + 147/4*i**5 - 3*i**2 + 24*i**3 - 231/4*i**4.
3*i**2*(i - 1)*(7*i - 2)**2/4
Let o(x) = x**5 + 7*x**4 + 6*x**3 + 2*x**2 - 2*x. Let k(t) = -3*t**5 - 22*t**4 - 17*t**3 - 5*t**2 + 7*t. Let i(f) = -6*k(f) - 21*o(f). Factor i(s).
-3*s**2*(s + 1)*(s + 2)**2
Let c = 80/87 - -12/29. Factor -c*x + 2 + 2/9*x**2.
2*(x - 3)**2/9
Factor 0*o**4 - 1/2*o + 0*o**2 + 0 + o**3 - 1/2*o**5.
-o*(o - 1)**2*(o + 1)**2/2
Let a be (-1)/(68/(-80) - (-15)/25). Let x(g) be the second derivative of 1/12*g**a + 1/6*g**3 - 2*g + 0 - 1/10*g**5 + 0*g**2. Suppose x(u) = 0. Calculate u.
-1/2, 0, 1
Suppose 3*s + 21 = 5*j + 4*s, 4*s + 26 = 2*j. Let v(h) = 2*h + 1. Let r be v(j). Factor -2*z**2 + 3*z**4 + r*z + 3*z**3 - 14*z - z**2.
3*z*(z - 1)*(z + 1)**2
Suppose k - 6 = -3*y - 3, y - 5*k = 17. Suppose -y*f + 1 = -3. Let 8/3*t**4 - 10/3*t**f + 2*t**3 + 2/3 - 2*t = 0. Calculate t.
-1, 1/4, 1
Suppose 0 = -4*g - 0*m + m - 59, -5*g = -m + 73. Let y = g + 14. Factor 2/3*s**3 + y + 0*s - 2/3*s**2.
2*s**2*(s - 1)/3
Suppose 1/4*i + 0 + 1/4*i**5 - 1/2*i**3 + 0*i**4 + 0*i**2 = 0. Calculate i.
-1, 0, 1
Let q be (2/6)/((-69)/(-9) + -4). Let o(x) be the first derivative of 4/11*x + q*x**2 - 4/33*x**3 + 2 - 1/22*x**4. Suppose o(n) = 0. What is n?
-2, -1, 1
Let b be (4/8)/(1/2). Suppose 0 = -m + b + 1. Suppose -4*j**3 + 0*j**3 - 4*j**4 + 8*j**m + 3*j**3 + 7*j**3 - 2*j**5 - 8*j = 0. What is j?
-2, 0, 1
Factor -8/7 + 4/7*z + 4/7*z**2.
4*(z - 1)*(z + 2)/7
What is p in 1/8*p + 1/2*p**2 - 3/4 + 1/8*p**3 = 0?
-3, -2, 1
Let o(i) be the first derivative of i**6/18 + 4*i**5/15 + i**4/2 + 4*i**3/9 + i**2/6 - 2. Factor o(d).
d*(d + 1)**4/3
Let d(c) be the second derivative of 3*c**8/7840 - c**7/2940 - c**6/504 - c**5/420 - c**4/12 + 8*c. Let p(n) be the third derivative of d(n). Factor p(o).
2*(o - 1)*(3*o + 1)**2/7
Suppose 0 = 4*q + 2*w - 8, 0 = 2*q + 4*w - 5 + 1. Suppose 2 - 4*y**2 + 4*y**2 - 2*y - 4*y**q = 0. What is y?
-1, 1/2
Let d(g) = g**3 - 2*g**2 - 3*g. Let p(b) = 6*b**3 - 9*b**2 - 15*b. Let s(k) = 11*d(k) - 2*p(k). Factor s(t).
-t*(t + 1)*(t + 3)
Suppose 5/4*h**2 - 5/2*h - 10 = 0. Calculate h.
-2, 4
Let b(m) be the second derivative of 1/3*m**2 + 0*m**3 - 3*m + 1/45*m**6 + 0 + 0*m**5 - 1/9*m**4. Factor b(h).
2*(h - 1)**2*(h + 1)**2/3
Let w = 6 + -6. Let a be (w/1)/(-8 - -7). Let a*r**2 + 1/4*r**3 - 3/4*r - 1/2 = 0. Calculate r.
-1, 2
Let q(k) be the second derivative of -1/42*k**4 + 1/7*k**2 + 0*k**3 + 3*k + 0. Solve q(z) = 0.
-1, 1
Suppose 4 = -3*i + 2*i - 3*y, -4*y = 12. Factor b**3 - 2*b**4 + 7*b**5 - 15*b**5 + 9*b**i.
b**3*(b - 1)**2
Let m(a) = -5*a**4 + 5*a**3 + 5*a**2 - a - 2. Let h(y) = 36*y**4 - 36*y**3 - 36*y**2 + 6*y + 15. Let v(f) = -2*h(f) - 15*m(f). Factor v(u).
3*u*(u - 1)**2*(u + 1)
Let f(a) = 9*a**2 + 5*a. Let p(w) = -w**2. Let y(s) = f(s) + 4*p(s). What is l in y(l) = 0?
-1, 0
Suppose 3*h + 4 + 4 = m, -5*m - 8 = -3*h. Let d be m/(-4)*1/2. Determine p, given that -1/2*p**5 + d*p + p**4 + 0*p**3 + 0 - p**2 = 0.
-1, 0, 1
Let z(h) be the third derivative of h**6/320 + h**5/160 - h**4/64 - h**3/16 + 2*h**2. Factor z(v).
3*(v - 1)*(v + 1)**2/8
Let y = 80/13 - 534/91. Suppose 4*p = f + 11, 0 = -p + 3*p + 5*f + 11. Determine r, given that 2/7*r**p + y*r**3 + 0*r + 0 = 0.
-1, 0
Solve 0 + 4/5*h**3 + 2/5*h**2 + 0*h + 2/5*h**4 = 0 for h.
-1, 0
Suppose 3 = 4*n + u, 4*u = -3*n - n. Let m = 4 - n. Factor 52*d - 22*d**2 + 12*d**3 - 48*d**2 - 61*d**m - 8.
-(d + 2)*(7*d - 2)**2
Let h(j) be the third derivative of -j**7/2520 - j**6/1080 + j**5/180 + j**3 + 7*j**2. Let t(u) be the first derivative of h(u). Factor t(c).
-c*(c - 1)*(c + 2)/3
Let y(n) be the second derivative of 0*n**6 - 1/10*n**5 + 0*n**3 + 0*n**2 + 0 - 3*n + 1/63*n**7 - 1/9*n**4. Factor y(w).
2*w**2*(w - 2)*(w + 1)**2/3
Let c(m) = -m - 11. Let d be c(-10). Let v be (-4)/(-12) + d/(-3). Factor 0 + v*f - 1/3*f**2 - 1/3*f**3.
-f*(f - 1)*(f + 2)/3
Suppose -8 = -5*r + 4*r. Suppose 3*n + 34 = 5*k + r, -5*k - 5*n + 10 = 0. Factor 4*b**3 + 5*b**5 - 4*b**3 - 2*b**k.
b**4*(5*b - 2)
Find p, given that -3/4*p**4 - 15/4*p**3 - 6*p**2 - 3*p + 0 = 0.
-2, -1, 0
Suppose 2 = 3*b - 4. Factor -g**3 + 7*g**3 + 8*g**2 + 6*g**3 + 2*g + 8*g**4 + b*g**5.
2*g*(g + 1)**4
Let h = -17 - -19. Let f(u) be the first derivative of u**2 + 1/2*u + 2/3*u**3 - h. Factor f(g).
(2*g + 1)**2/2
Suppose 50 = -9*w + 77. Factor 1/4*l - 1/4*l**w - 1/4*l**4 + 0 + 1/4*l**2.
-l*(l - 1)*(l + 1)**2/4
Let h(s) be the second derivative of 0*s**3 + 0*s**2 + 1/8*s**4 + 0 + 4*s. Determine u, given that h