 2)**2
Let r = 8 + -6. Suppose -3*c = -4*c + 2. Factor -2*v**5 + 3*v**4 - 2 + 4*v**r + 4*v**3 - c*v - 5*v**4 + 0*v**5.
-2*(v - 1)**2*(v + 1)**3
Determine u so that 6 - 615/4*u**3 + 81*u**4 + 249/2*u**2 - 45*u - 15*u**5 = 0.
2/5, 1/2, 2
Let x(k) be the third derivative of k**6/96 - k**5/48 - 5*k**4/96 + 5*k**3/24 + 16*k**2. Factor x(w).
5*(w - 1)**2*(w + 1)/4
Suppose 22 = 4*h - 2. Let x(o) be the first derivative of -26/9*o**3 - 46/15*o**5 - 9/2*o**4 - 2/3*o**2 + 0*o - 3 - 7/9*o**h. Factor x(b).
-2*b*(b + 1)**3*(7*b + 2)/3
Find c such that 0*c**4 - 1/2*c**5 + 1 - 3/2*c + 2*c**3 - c**2 = 0.
-2, -1, 1
Factor 0 - 4/7*l**2 - 2/7*l**3 + 0*l.
-2*l**2*(l + 2)/7
Suppose -4*y + 12 = 4*f, -2*y - f = 2*y - 12. Factor -14/3*h + 2/3*h**5 - 16/3*h**2 - 4/3*h**y + 4/3*h**4 - 4/3.
2*(h - 2)*(h + 1)**4/3
Let q(j) be the second derivative of 1/20*j**5 + 0 - 1/12*j**4 + 0*j**2 - 1/42*j**7 + 0*j**3 + 1/30*j**6 - 6*j. Factor q(d).
-d**2*(d - 1)**2*(d + 1)
Let x = -207 + 209. Factor 4/3*z**x + 0*z + 0*z**3 - 1/3*z**5 - z**4 + 0.
-z**2*(z - 1)*(z + 2)**2/3
Let x(g) = 4*g - 37. Let t be x(10). Factor 0 + 2/7*j**t + 0*j + 2/7*j**4 + 0*j**2.
2*j**3*(j + 1)/7
Let w be ((-5)/2)/(7/(-14)). Factor 0*m**5 + 0*m**4 - 13*m**4 + 15*m**3 - 9*m**2 + 3*m**w + 2*m + 2*m**4.
m*(m - 1)**3*(3*m - 2)
Suppose -4*n = -4*a - 16, -5*a - n + 5 = 1. Let y = -7 + 10. Factor y - 3 + t + 2*t**2 + t**3 + a*t.
t*(t + 1)**2
Let o = 4 + -14. Let z = o - -12. Factor -1/4*v**z - 1/4 - 1/2*v.
-(v + 1)**2/4
Let v = -76 + 76. Solve 8/5*s - 12/5*s**2 + 6/5*s**3 + v - 1/5*s**4 = 0 for s.
0, 2
Let a(g) be the first derivative of 12*g**2 + 4/3*g**3 + 36*g - 7. Solve a(n) = 0.
-3
Let c(b) be the first derivative of b**3 - 57*b**2 + 1083*b + 53. Factor c(m).
3*(m - 19)**2
Let z be (3 - 9)*(-2)/4. Suppose z + 2 + a + a**2 - 1 - 6 = 0. What is a?
-2, 1
Let i = 17 + -14. Find g such that 0*g - i*g + 9*g**2 - 3*g**2 - 3*g**3 = 0.
0, 1
Let c = -204 + 8977/44. Let g = c + 85/132. Factor -2/3*l**3 + 2/3*l + 0 + g*l**4 - 2/3*l**2.
2*l*(l - 1)**2*(l + 1)/3
Suppose i**3 + 2*i**3 - 21*i**2 - 4*i**2 + 19*i**2 + 3*i = 0. What is i?
0, 1
Let i(a) be the second derivative of -a**6/120 + a**5/40 - a**3/12 + a**2/8 - 29*a. Factor i(p).
-(p - 1)**3*(p + 1)/4
Let a(d) be the second derivative of d**8/112 - d**7/210 - d**6/24 + d**5/60 + d**4/12 - d**2 - d. Let u(x) be the first derivative of a(x). Factor u(b).
b*(b - 1)**2*(b + 1)*(3*b + 2)
Factor -16/5 - 4*w - 4/5*w**2.
-4*(w + 1)*(w + 4)/5
Let p(d) be the first derivative of -d**3/36 - d**2/12 + d/4 + 1. Solve p(a) = 0.
-3, 1
Let u(o) be the second derivative of -o**7/21 - o**6/3 - 7*o**5/10 - o**4/2 - 2*o + 3. Factor u(d).
-2*d**2*(d + 1)**2*(d + 3)
Let r(a) be the first derivative of a**6/75 - a**5/25 - 2*a - 2. Let i(c) be the first derivative of r(c). Factor i(f).
2*f**3*(f - 2)/5
Let g = -74/5 - -153/10. Factor -1/4*m**2 + g + 1/4*m.
-(m - 2)*(m + 1)/4
Suppose 25 = 4*p + 1. Suppose 28 = 3*j + 2*n, p*n = j + 2*n + 14. Suppose j*m**5 + 4*m**5 - 4*m**4 - 2*m**4 - 4*m**3 = 0. Calculate m.
-2/5, 0, 1
Let c = -191/12 - -16. Let r(i) be the first derivative of c*i**3 - 1/20*i**5 - 1/16*i**4 - 2 + 0*i + 0*i**2 + 1/24*i**6. Factor r(q).
q**2*(q - 1)**2*(q + 1)/4
Let b be 6*-11*14/21. Let r be 6/27 + b/(-18). Let 0*u - 2*u**2 - 2/3*u**3 + r = 0. Calculate u.
-2, 1
Suppose 4*t = 20, 0*t - 37 = -4*r - t. Let x = -2 + r. Let -8*m**3 - 8*m + 2 + x*m**4 - 7*m**2 + 0*m + 19*m**2 - 4*m**4 = 0. What is m?
1
Let f = -52 - -52. Factor 2/7*d**3 + f + 2/7*d**2 + 0*d.
2*d**2*(d + 1)/7
Factor q + 20*q**2 - 4 - q - 16*q**2.
4*(q - 1)*(q + 1)
Let b(l) be the third derivative of 2*l**2 + 1/24*l**4 - 1/120*l**6 - 1/60*l**5 + 0*l + 0 + 1/6*l**3. Factor b(u).
-(u - 1)*(u + 1)**2
Let i(c) be the third derivative of -c**7/1050 + c**6/300 - c**4/60 + c**3/30 - 5*c**2. Determine m, given that i(m) = 0.
-1, 1
Let a be -27*((-15)/(-9) - 2). Solve 3/2 + 15/2*w**2 - a*w = 0.
1/5, 1
Let u = 104 - 311/3. Solve -u*c - 2/3 + 1/3*c**2 = 0 for c.
-1, 2
Let r(j) = -j - j - 3*j**2 - 7*j**2 + 4 + j. Let y(n) = -7*n**2 - n + 3. Let l(i) = -5*r(i) + 7*y(i). Factor l(c).
(c - 1)**2
Let v(m) be the first derivative of m**3/3 - m**2/2 + 2. Factor v(f).
f*(f - 1)
Let 0*z - z**2 - z + 4*z - 5*z = 0. What is z?
-2, 0
Let z(w) be the first derivative of -w**4/14 - 2*w**3/7 - 2*w**2/7 + 1. Let z(f) = 0. What is f?
-2, -1, 0
Let q(l) = -6*l**2 - 1 + 2*l**3 - 1 + 10 + 0*l**3. Let n(b) = -b**3. Let t(x) = 4*n(x) + q(x). Factor t(g).
-2*(g - 1)*(g + 2)**2
Factor -1/4*a**3 - 3/4*a - 1/4 - 3/4*a**2.
-(a + 1)**3/4
Let b be (-12)/(-18) + 7/(-15). Let m(v) = v + 8. Let g be m(-6). Factor b + 2*x + 32/5*x**3 + 32/5*x**g.
(2*x + 1)*(4*x + 1)**2/5
Let l(v) = -v. Let h be l(-2). Suppose k + 3 = h*k. What is i in i - i - i**k = 0?
0
Let m(v) be the third derivative of -v**7/70 - v**6/10 - v**5/10 + v**4/2 + 3*v**3/2 - 11*v**2. Solve m(p) = 0 for p.
-3, -1, 1
Let w(o) be the second derivative of 0*o**2 + 0 + 1/40*o**6 - 3/40*o**5 + 0*o**3 + 7*o + 1/16*o**4. Factor w(r).
3*r**2*(r - 1)**2/4
Let q(x) = -x**2 - 6*x - 2. Let t be q(-6). Let c be (-20)/(-4) + 0/t. Factor h**2 + 5 - c.
h**2
Suppose -3*g - 16 = 14. Let v be 25/g*(-8)/10. Let -o**4 + 0 + 0*o - 1/2*o**3 - 1/2*o**5 + 0*o**v = 0. What is o?
-1, 0
Let a(i) be the first derivative of -i**4/2 - 2*i**3 - 3*i**2 - 2*i - 9. What is r in a(r) = 0?
-1
Let k(o) be the first derivative of 3*o**4/8 - 3*o**3/2 + 6*o + 3. Factor k(l).
3*(l - 2)**2*(l + 1)/2
Let f(i) = 8*i**2 + 3*i + 5. Let m(d) = d**2 + 1. Let s(x) = -f(x) + 5*m(x). Let s(u) = 0. Calculate u.
-1, 0
Solve 0*d**2 + 17*d**3 - 48*d**2 - 2*d**4 - 39*d**3 + 72*d + 0*d**4 = 0 for d.
-6, 0, 1
Solve -t**2 - 2*t - 14 + 7*t + 20 = 0 for t.
-1, 6
Let r(z) = -2*z**3 + z**2 - z. Let d(i) = 8*i**2 + 21*i - 12. Let u(t) = -2*d(t) - 2*r(t). Suppose u(j) = 0. What is j?
-2, 1/2, 6
Let s(j) be the third derivative of 0*j**6 + 0*j + 1/10*j**5 - 8*j**2 - 1/70*j**7 + 0*j**4 - 1/2*j**3 + 0. Find w such that s(w) = 0.
-1, 1
Let v be (-28)/(-10) + 1/5. Solve -q**2 - 20*q**3 + v*q**2 + 22*q**3 = 0.
-1, 0
Factor -7*z**3 - 28*z**2 + 12*z**3 - 3*z**3 - 32*z + 2*z**3.
4*z*(z - 8)*(z + 1)
Let w(z) = -5*z**2 - 7*z. Let s(i) = -i**2 - 4*i - 5. Let r be s(-4). Let b(l) = -9*l**2 - 13*l. Let h(u) = r*w(u) + 3*b(u). Solve h(c) = 0.
-2, 0
Factor -1/4*y**3 + 0 + 0*y**2 + 0*y - 1/4*y**4.
-y**3*(y + 1)/4
Let m(p) be the third derivative of 0*p**4 + 1/12*p**3 + 0*p**6 + 0 - 1/60*p**5 + 0*p - p**2 + 1/420*p**7. Let m(q) = 0. What is q?
-1, 1
Let g(b) be the third derivative of 1/112*b**8 - 3/8*b**4 + 0*b - 2*b**2 + 0 + 1/2*b**3 + 1/10*b**5 + 1/20*b**6 - 3/70*b**7. Find o such that g(o) = 0.
-1, 1
Let m be 63/(-27)*(0 - 1 - 2). Let l(q) be the second derivative of 0*q**3 + 1/6*q**4 + 0*q**2 + 1/6*q**m - q - 2/5*q**6 + 0 + 3/20*q**5. Factor l(d).
d**2*(d - 1)**2*(7*d + 2)
Let q = -29 + 29. Let u(f) be the second derivative of 2*f - 1/20*f**5 - 4/3*f**3 + 5/12*f**4 + 2*f**2 + q. Solve u(d) = 0.
1, 2
Let c(x) be the first derivative of -1/3*x**2 + 0*x - 1 + 2/9*x**3. Factor c(f).
2*f*(f - 1)/3
Let v = 17 - 15. Factor -3*g + 15*g**3 + 3*g**v - 3 - 12*g**3 + 0.
3*(g - 1)*(g + 1)**2
Let d = 8 + -4. Let i(b) = b**2 + 0 + 3*b + 1 + d. Let u(r) = -r**2 - 3*r - 4. Let p(n) = 4*i(n) + 6*u(n). Let p(h) = 0. What is h?
-2, -1
Let k(v) be the third derivative of v**7/630 + v**6/60 + v**5/20 - 3*v**2. Factor k(b).
b**2*(b + 3)**2/3
Suppose 0*r + 0 + 8/7*r**3 - 2/7*r**5 + 3/7*r**4 + 3/7*r**2 = 0. Calculate r.
-1, -1/2, 0, 3
Suppose -o + 9 = -4*o. Let i be (o - 2)*(0 - 1). Solve 4*r + 3 - 5*r - r**2 - i + 4*r = 0 for r.
1, 2
Let q be -2 - 95/(-25) - 1. What is l in -2*l**5 + 2*l**3 + 4/5*l**4 + 0*l - q*l**2 + 0 = 0?
-1, 0, 2/5, 1
Let x = -64/9 + 137/18. Factor -x*k**2 + 1 + 1/2*k.
-(k - 2)*(k + 1)/2
Determine g so that 0 + 3/4*g**3 + 3/8*g**4 + 3/8*g**2 + 0*g = 0.
-1, 0
Let s(q) = 3*q + 2. Let h be s(3). Factor 2*j + h*j**2 - 14*j**2 + j.
-3*j*(j - 1)
Let b(s) = s**2 - s - 4. Suppose -3*p - 1 = -10. Let h be b(p). Solve -3*c**3 + h*c**3 + c**5 - c**2 + 4*c**4 - 3*c**4 = 0.
-1, 0, 1
Let j(t) be the second derivative of -t**8/10080 - t**7/1260 - t**6/360 - t**5/180 - t**4/12 - 2*t. Let q(z) be the third derivative of j(z). Factor q(l).
-2*(l + 1)**3/3
Suppose -4*p = j - 7, -3*j = -8*j - 