**4 + 18*b**2 - 31 = 0?
-1, -2/9, 2
Let k(o) = -14*o**3 - 15*o**2 + 35*o. Let j(p) = -5*p**3 - 5*p**2 + 12*p. Let g(t) = -17*j(t) + 6*k(t). Factor g(s).
s*(s - 3)*(s - 2)
Suppose 4*d = 3*a - 12, 0*d = -3*a - 2*d + 12. Let -2*o**2 - 2*o**a - 6*o**2 + o**2 - o**4 - 8*o**3 - 2*o = 0. What is o?
-1, -2/3, 0
Let d(s) = -s**3 + 3*s**2 + 3*s + 3. Let o(v) = 2*v**3 - 7*v**2 - 5*v - 5. Let q(f) = 5*d(f) + 3*o(f). Find t, given that q(t) = 0.
0, 6
Factor -s**3 + 3*s**2 + 12*s**2 - 5*s**3 + 9*s.
-3*s*(s - 3)*(2*s + 1)
Find f such that 3*f**3 - 11*f**3 - 6*f**2 + 8*f**2 + 6*f**4 = 0.
0, 1/3, 1
Let z(k) be the third derivative of k**6/120 + 3*k**5/20 + 5*k**4/8 + 7*k**3/6 - 37*k**2. Let z(j) = 0. Calculate j.
-7, -1
Let x(d) be the third derivative of 0*d**3 + 0*d**6 + 0 - 1/336*d**8 + 4*d**2 + 1/30*d**5 + 1/24*d**4 + 0*d - 1/105*d**7. Factor x(c).
-c*(c - 1)*(c + 1)**3
Find w, given that -2/7*w**3 + 2/7*w**5 + 0 - 4/7*w**4 + 4/7*w**2 + 0*w = 0.
-1, 0, 1, 2
Let p(s) = -s**2 + 2*s - 1. Let j(k) = 5*k**2 + 1. Let y(d) = d**2. Let z(n) = -j(n) + 4*y(n). Let l = 3 + -1. Let h(a) = l*z(a) - p(a). Solve h(m) = 0.
-1
Let a(p) = p**3 - 7*p**2 + 15*p - 21. Let f be a(5). Determine s so that -2/5*s + 0 - s**2 - 1/5*s**f - 4/5*s**3 = 0.
-2, -1, 0
Let q = 11 + -7. Determine f, given that 31*f - 2*f**4 + 3*f**3 + q*f**2 - 18*f - 17*f - f**5 = 0.
-2, 0, 1
Factor 0*n**3 - 1/2*n**2 + 0*n + 1/2*n**4 + 0.
n**2*(n - 1)*(n + 1)/2
Let k(o) = 4*o - 11. Let r be k(6). Let f = r + -11. Factor -2/5*z + 8/5*z**3 + 0 + 6/5*z**f.
2*z*(z + 1)*(4*z - 1)/5
Let c be (-1*(-1)/3)/((-7)/(-84)). Let i(v) be the first derivative of 1/15*v**5 - 3 + 1/6*v**c + 0*v + 1/9*v**3 + 0*v**2. Factor i(u).
u**2*(u + 1)**2/3
Let q be 40/14 + 18/(-21). Find h such that 1/2*h**q + 1/2*h**3 - 1/2*h - 1/2 = 0.
-1, 1
Let b(d) = -4*d + 2. Let l(r) = -r**2 + 17*r - 9. Let q(t) = -9*b(t) - 2*l(t). Let q(c) = 0. What is c?
-1, 0
Let x(o) = -2*o**3 - o**2 - 9*o - 8. Let b be x(-1). Factor 0 - 1/3*y + 2/3*y**b - 1/3*y**3.
-y*(y - 1)**2/3
Let a(n) = n**3 + 20*n**2 - n - 20. Let o be a(-20). Suppose -1 + 1/2*s**3 - 3/2*s + o*s**2 = 0. Calculate s.
-1, 2
Suppose 0 = 4*a - 12, -6*a = -3*m - 2*a - 6. Suppose -3*f + m*f = -1. Suppose f + 2*l - 5 + 4 + l**2 = 0. Calculate l.
-2, 0
Let j be 6/(-9) - 8/(-3). Let l be 2 + (2/1)/j. Factor -2/3 - 1/3*h**l + 1/3*h + 2/3*h**2.
-(h - 2)*(h - 1)*(h + 1)/3
Let t(l) be the first derivative of l**5/10 - l**3/2 - l**2/2 - 8. Solve t(b) = 0 for b.
-1, 0, 2
Find j such that 2*j**4 + 2/3 + 1/3*j**5 + 3*j + 14/3*j**3 + 16/3*j**2 = 0.
-2, -1
Let l(m) = m**3 + m**2 - m - 3. Suppose 0 = -5*d - n - 9, -5*n = -0*n + 20. Let j(c) = -c**2 - 1. Let b(z) = d*j(z) + l(z). What is y in b(y) = 0?
-2, -1, 1
Let p = 25 - 10. Find c, given that 0*c**4 + 2*c**2 + 15*c - p*c + 6*c**3 + 2*c**5 + 6*c**4 = 0.
-1, 0
Let f(s) = -5*s**4 + 7*s**3 - 7*s - 12. Let k(q) = -q**4 + q**3 - q - 2. Let x(m) = 6*f(m) - 34*k(m). Factor x(b).
4*(b - 1)*(b + 1)**3
Let t be (-5)/((-130)/(-4)) - (-1353)/429. Determine z, given that -1/6*z + 0 - 1/6*z**t + 1/3*z**2 = 0.
0, 1
Solve -4*w**3 - 8 + 2*w + 2*w + 0*w**3 + 8*w**2 = 0 for w.
-1, 1, 2
Let x(d) = d**3 + 3*d**2 + 16*d + 12. Let z(p) = -p**2. Let o(b) = -x(b) + 4*z(b). Suppose o(h) = 0. Calculate h.
-3, -2
Let f(r) = 0*r + 25*r**2 - 2*r**3 + 0*r + 3*r**3. Let l(s) = -12*s**2. Let m(t) = -3*f(t) - 7*l(t). What is q in m(q) = 0?
0, 3
Factor 0 + 2/3*l - 7/3*l**2.
-l*(7*l - 2)/3
Let a(x) be the second derivative of x**5/20 - x**4/12 + 5*x. Find s such that a(s) = 0.
0, 1
Let a(b) = 8*b**4 + 4*b**3 - 10*b - 8. Let y(n) = 19 - 16*n**4 - 12*n**3 - 10*n**4 + 4 + 3*n**4 + 29*n. Let d(l) = 17*a(l) + 6*y(l). Factor d(s).
-2*(s - 1)*(s + 1)**3
Let f(m) = m - 3. Let i be f(7). Factor i*a**2 - 6*a**2 + 2*a**4 + 0*a**2 + 0*a**2.
2*a**2*(a - 1)*(a + 1)
Let w(u) be the second derivative of -u**5/50 + u**3/15 + 12*u. Suppose w(l) = 0. What is l?
-1, 0, 1
Let u(o) be the third derivative of -1/105*o**5 - 3*o**2 + 1/84*o**4 + 0 + 0*o + 1/420*o**6 + 0*o**3. Let u(r) = 0. Calculate r.
0, 1
Let g(v) be the second derivative of -4*v**6/15 + 2*v**5/5 - v**4/6 - 17*v - 2. Factor g(w).
-2*w**2*(2*w - 1)**2
Suppose 2/7*n**5 + 0 + 0*n - 2/7*n**2 - 2/7*n**3 + 2/7*n**4 = 0. Calculate n.
-1, 0, 1
Let l = 3 - 1. Suppose 0 = v - 3 - l. Factor o**3 + o**2 - 1/2*o - 1/2*o**v - 1/2*o**4 - 1/2.
-(o - 1)**2*(o + 1)**3/2
Let j(l) be the third derivative of l**6/480 - l**5/240 - l**4/24 + l**3/6 + 6*l**2. Suppose j(u) = 0. What is u?
-2, 1, 2
Let w(s) = -4*s**5 - s**4 - 7*s**3 - 5*s - 5. Let r(t) = -t**5 - t**3 - t - 1. Suppose -3*x - 2*x = -25. Let l(k) = x*r(k) - w(k). Find m such that l(m) = 0.
-1, 0, 2
Suppose 24*h - 48 = 48. Factor 0*k + 2/5*k**h + 0*k**3 + 2/5 - 4/5*k**2.
2*(k - 1)**2*(k + 1)**2/5
Let j be (4/3)/(8/60). Factor -4 - 3*d**3 + 8*d**4 - d**2 - 2*d**5 + j*d - 5*d**3 - 3*d**2.
-2*(d - 2)*(d - 1)**3*(d + 1)
Let k be 8 + 6 + 2 + 0. Let t be (-1 - -1) + k/4. Find x, given that -7/6*x**3 + 1/2*x**t - 1/6*x**2 + 7/6*x - 1/3 = 0.
-1, 1/3, 1, 2
Factor 0 + 2/15*y**4 + 2/15*y**3 + 0*y - 2/15*y**5 - 2/15*y**2.
-2*y**2*(y - 1)**2*(y + 1)/15
Let k(i) = -21*i**2 + 36*i. Let j(q) = 3*q**2 - 5*q. Let y(a) = -27*j(a) - 4*k(a). Suppose y(x) = 0. What is x?
0, 3
Let s be 24/28*17/((-2295)/(-252)). Find c, given that 2/5*c**3 + s*c + 0 - 8/5*c**2 = 0.
0, 2
Let k(s) be the second derivative of 1/4*s**5 + 2/3*s**4 - s**2 + 1/6*s**3 + 6*s + 0. Determine u so that k(u) = 0.
-1, 2/5
Let n be 0/3 + 1 - -2. Let k = n + -1. Solve -2*j + 4 + 2*j**k + 4*j**2 + 12*j = 0 for j.
-1, -2/3
Factor 8/5 - 2*k**2 - 1/5*k**3 + 4/5*k**4 + 4/5*k - 1/5*k**5.
-(k - 2)**3*(k + 1)**2/5
Let z(v) = -v**2 + 6*v + 2. Let k be z(6). Factor 8 + 15*y - 6 - k*y**2 - y**2 - 14.
-3*(y - 4)*(y - 1)
Let s(b) = 3*b**5 - 15*b**4 + 7*b**3 + 11*b**2 - 16*b - 2. Let x(j) = j**5 - j**4 + j**2 + 1. Let t(f) = -5*s(f) - 30*x(f). Let t(z) = 0. What is z?
-1, 2/3, 1
Let x(n) be the second derivative of -n**2 - 1/3*n**3 + 1/10*n**5 + 1/6*n**4 + 2*n + 0. Suppose x(k) = 0. What is k?
-1, 1
Solve -2/5*q**4 + 12/5*q**3 + 0 - 18/5*q**2 + 8/5*q = 0.
0, 1, 4
Let a(l) be the first derivative of l**3/3 - l**2/10 + 32. Factor a(u).
u*(5*u - 1)/5
Suppose 0 = -4*q + 39 + 9. Let m be 4/q - (-25)/6. Suppose 3/4 - 3*a - 3*a**3 + 3/4*a**4 + m*a**2 = 0. Calculate a.
1
Let t(g) be the third derivative of 0*g - 1/96*g**4 + 5*g**2 - 1/12*g**3 + 0 + 1/40*g**5. Solve t(q) = 0 for q.
-1/2, 2/3
Factor b**4 + 4*b + 51*b**2 + 19*b**4 - 15*b**2 - 8*b**3 - 8 - 44*b**3.
4*(b - 1)**3*(5*b + 2)
Factor -n**3 - 7/5*n**4 - 1/5*n**2 + 0*n - 3/5*n**5 + 0.
-n**2*(n + 1)**2*(3*n + 1)/5
Suppose 4 = -0*g + 2*g. Suppose -v + 2*n = -5*v, -5*n - 24 = -g*v. Factor -1/2 + 9/4*i - 7/4*i**v.
-(i - 1)*(7*i - 2)/4
Factor 2/5*o + 0 + 2/5*o**3 - 4/5*o**2.
2*o*(o - 1)**2/5
Suppose -4/15*w**4 - 2/5*w + 2/5*w**3 + 2/15*w**2 + 2/15 = 0. Calculate w.
-1, 1/2, 1
Let h(c) be the first derivative of -c**7/21 - c**6/5 - c**5/5 + c**4/3 + c**3 + c**2 + c + 2. Let l(q) be the first derivative of h(q). Factor l(x).
-2*(x - 1)*(x + 1)**4
Let c(d) = -d**2 + 12*d - 15. Let i be c(10). Factor 0 - 2/11*n**i + 4/11*n**2 - 4/11*n**4 + 0*n**3 + 2/11*n.
-2*n*(n - 1)*(n + 1)**3/11
Let d(o) = 3*o**3 - 39*o. Let y(u) = u**3 - 11*u. Let t be 4 - (3/(-1) - -2). Let q(c) = t*d(c) - 18*y(c). Factor q(m).
-3*m*(m - 1)*(m + 1)
Let f(o) = -o**2 - 5*o + 2. Let b be (1 - (-6)/(-3))*5. Let r be f(b). What is v in -3 - 4*v - 3 - v**r + 2 = 0?
-2
Let d(c) = -c**3 + c**2 - c + 1. Let k(l) = -3*l**3 - 3*l**2 - 10*l - 2. Let j(i) = 2*d(i) - k(i). Factor j(v).
(v + 1)*(v + 2)**2
Suppose n = -3*n + 16. Suppose d + 2*c + n = 4*d, 3*d + 10 = -5*c. Factor -1/3*y + 2/3*y**2 - 1/3*y**3 + d.
-y*(y - 1)**2/3
Let z(x) = 3*x**2 + 4*x + 4. Let o(q) = -q. Let t(r) = -44*o(r) - 4*z(r). Suppose t(c) = 0. What is c?
1, 4/3
Let j(o) = 3*o**2 - 14*o - 9. Let k(y) = y**2 - y. Let l(q) = j(q) - 4*k(q). Let f be l(-9). Factor 1/3*b**2 + f*b - 1/3.
(b - 1)*(b + 1)/3
Let l(u) be the first derivative of 2*u**6/9 - 7*u**5/15 - u**4/6 + 8*u**3/9 - u**2/3 - u/3 - 7. Factor l(k).
(k - 1)**3*(k + 1)*(4*k + 1)/3
Let o be -3*(30/9 + 0). Let u = -8 - o. Solve 0 - 2/7*j**u + 2/7*j = 0 for j.
0, 1
Let q(v) be the third derivative of v**5/70 + 5*v**4/84 - 2*v**3/21 - 6*v**2. Facto