= 0. Calculate w.
0, 1, 2
Let m(n) = -n**3 + n**2 + n - 4. Let d be m(0). Let g be 2/d*(-1 + -5). Let -g*f**2 - 4*f**3 - f + 5*f**3 + 3*f**3 = 0. What is f?
-1/4, 0, 1
Suppose -37 = -5*d - 4*o, -o = d - 0*o - 8. Determine s so that -18*s**3 - 4*s**d - 2*s**2 + 2*s**5 - 6*s**4 + 12*s**3 = 0.
-1, 0
Let f(l) be the second derivative of -l**4/12 + 4*l**3/3 - 7*l**2/2 - 3*l. Let u be f(6). Factor 5*m**4 - m**3 + m**3 + m**u - 6*m**4.
m**4*(m - 1)
Let -v**4 - 3/7*v**3 + 4/7*v - 2/7*v**5 + 8/7*v**2 + 0 = 0. What is v?
-2, -1/2, 0, 1
Let q(n) be the first derivative of 5*n**3 - 115*n**2/2 - 40*n + 46. Factor q(d).
5*(d - 8)*(3*d + 1)
Suppose 2*z**3 - 5*z**3 - 9*z**2 - 3*z**3 - 3*z = 0. Calculate z.
-1, -1/2, 0
Let t(g) = -9*g**5 - 10*g**4 - 6*g**3 + 7*g**2 + 15*g + 14. Let d(p) = 3*p**5 + 3*p**4 + 2*p**3 - 2*p**2 - 5*p - 5. Let v(z) = -11*d(z) - 4*t(z). Factor v(x).
(x - 1)*(x + 1)**3*(3*x + 1)
Let u(s) be the second derivative of s**6/150 - s**5/100 - s**4/60 + s**3/30 - 12*s. Solve u(q) = 0 for q.
-1, 0, 1
Let f(r) be the third derivative of -5*r**8/16128 - r**7/672 - r**6/320 + r**5/20 - 2*r**2. Let t(n) be the third derivative of f(n). Factor t(j).
-(5*j + 3)**2/4
Let a(b) be the third derivative of -b**6/120 + b**5/30 - b**4/24 - 5*b**2. Factor a(l).
-l*(l - 1)**2
Suppose 0 = -4*k + k + 6. Let -9 + 4 - 2*z**k + 3 + 4*z = 0. What is z?
1
Let y(s) be the first derivative of -2*s**5/45 + s**4/18 + s**3/27 - s + 3. Let w(m) be the first derivative of y(m). Let w(x) = 0. What is x?
-1/4, 0, 1
Let s = 65/122 + -2/61. Factor s*y**3 + 0*y**2 + 0 + 0*y.
y**3/2
Factor 0 - 9/4*i - 3/4*i**3 - 3*i**2.
-3*i*(i + 1)*(i + 3)/4
Suppose 7*p - 4*a - 16 = 5*p, -4*a = 5*p - 54. Suppose w + 0 = -3*z + 8, 3*w + 2*z = p. Solve w*i**4 - 2*i**3 - i**3 + i**3 = 0.
0, 1
Factor 20/11*x + 80/11*x**3 + 6*x**2 + 32/11*x**4 + 2/11.
2*(x + 1)**2*(4*x + 1)**2/11
Let o be (-3)/(-2)*(18/(-12) - -2). Factor -o*k**2 + 1/4 + 1/2*k.
-(k - 1)*(3*k + 1)/4
Let c(z) be the first derivative of -z**6/2 + 3*z**4/2 - 3*z**2/2 + 7. Let c(g) = 0. Calculate g.
-1, 0, 1
Let r(x) be the first derivative of 1/6*x**3 + 0*x - 1 + 1/4*x**2. Determine k so that r(k) = 0.
-1, 0
Determine t, given that -2/13*t**2 + 4/13*t + 0 = 0.
0, 2
Let u(g) be the first derivative of -2*g**6/3 + 2*g**4 - 2*g**2 + 26. What is j in u(j) = 0?
-1, 0, 1
Suppose -2*n = 2*s + 10, 2*n = s - 3*n + 29. Let k(g) = -g - 6. Let m be k(s). Find a, given that -3/2*a**2 + 1/2*a**m + 3/2*a - 1/2 = 0.
1
Let m = 21 - 15. Suppose -4*p + m = -0*s - 2*s, -5*s = -p + 6. Factor 5*r + p + 7 - 14*r**3 + 10*r**2 + 27*r.
-2*(r - 2)*(r + 1)*(7*r + 2)
Suppose 5*w - 4*w - 4*t = 20, 4*w = -3*t + 4. Let d(n) be the second derivative of 1/3*n**3 - n + 3/10*n**5 + 0 - 2/3*n**w + 0*n**2. Factor d(b).
2*b*(b - 1)*(3*b - 1)
Let l be ((-9)/2 - -2)/((-4)/8). Let c(z) be the second derivative of 1/30*z**l + 0*z**3 + 2*z + 0*z**2 - 1/18*z**4 + 0. Determine a, given that c(a) = 0.
0, 1
Let d(l) = l**2 - 8*l + 7. Let z be d(7). Let m(v) be the first derivative of 1/18*v**6 + 2 + 1/6*v**2 + z*v + 0*v**5 - 1/6*v**4 + 0*v**3. Factor m(f).
f*(f - 1)**2*(f + 1)**2/3
Let m(w) = -w - 11. Let r(q) = -q - 11. Let k(b) = 2*m(b) - 3*r(b). Let o be k(-8). Find z such that -6*z**3 - 3*z**4 - 3*z**5 + 3*z**3 - o*z**4 = 0.
-1, 0
Let p(b) be the second derivative of -8*b**6/15 + 9*b**5/5 - 2*b**4 + 2*b**3/3 + 3*b. Suppose p(s) = 0. What is s?
0, 1/4, 1
Let r be 1*(3 + (-262)/(-5)). Let i = r - 55. Suppose -4/5 + i*p**3 + 2*p - 8/5*p**2 = 0. What is p?
1, 2
Let z(q) = 18*q**2 + 16*q - 8. Let d(o) = 35*o**2 + 31*o - 15. Let y(x) = 6*d(x) - 11*z(x). Factor y(c).
2*(c + 1)*(6*c - 1)
Let f(o) be the second derivative of -o**7/11340 + o**6/3240 + o**4/6 - 3*o. Let m(b) be the third derivative of f(b). Factor m(c).
-2*c*(c - 1)/9
Suppose 3*h - 4*s - 10 - 2 = 0, 0 = h + 5*s - 4. Factor -3*k**h + 0*k**4 + 8*k**2 + 3*k**5 + 0*k**5 + 7*k**2 - 6*k - 9*k**3.
3*k*(k - 1)**3*(k + 2)
Let p(u) = u - 9. Let t be p(11). Determine i so that 2*i**4 + i**2 - 3*i**2 - 2*i**2 - t*i**3 + 0*i**4 = 0.
-1, 0, 2
Let i(n) = n**3 - 19*n**2 + n - 15. Let t be i(19). Let j(c) be the first derivative of 3 + 1/22*c**t + 4/33*c**3 + 1/11*c**2 + 0*c. Factor j(l).
2*l*(l + 1)**2/11
Let g be -2*((-1 - -1) + -1). Determine i, given that -10*i + 10*i - i**4 - 3*i**2 + 4*i**g = 0.
-1, 0, 1
Let a(j) = 7*j**3 + 9*j**2 - 3*j - 5. Let c(w) = -w**3 - w**2 + w + 1. Let p(i) = -a(i) - 6*c(i). Find g, given that p(g) = 0.
-1
Let m(d) = -3*d**4 + d**2 - 7*d**3 - 14*d + 0 - 3 + 13*d - 3. Let g(v) = 4*v**4 + 8*v**3 - v**2 + 2*v + 7. Let n(p) = 4*g(p) + 5*m(p). Solve n(y) = 0 for y.
-1, 1, 2
Find b, given that 5*b**5 - 6*b**3 + 4*b - 15*b**3 + 5*b**3 - 8*b**2 + 8*b**4 + 7*b**5 = 0.
-1, 0, 1/3, 1
Solve 15*p**3 - 5*p**4 - 5*p**5 + 0*p**4 - 10*p + 5*p**2 + 0*p**5 + 0*p**5 = 0.
-2, -1, 0, 1
Let t = 27 - 22. Let z(h) be the first derivative of 9/5*h**4 - 6/5*h**3 + 0*h + 1 + 3/10*h**6 + 3/10*h**2 - 6/5*h**t. Factor z(n).
3*n*(n - 1)**3*(3*n - 1)/5
Let h(l) be the first derivative of -l**6/6 - l**5/5 + l**4/2 + 2*l**3/3 - l**2/2 - l + 2. Let h(k) = 0. Calculate k.
-1, 1
Let d(j) = -j**3 + j - 1. Let n(p) = 10*p**3 + 14*p**2 + 4*p - 8. Let t(h) = 8*d(h) - n(h). Factor t(l).
-2*l*(l + 1)*(9*l - 2)
Let t be (-1)/(-2) + (-13)/52. Solve 11/4*o**3 + 9/4*o**2 + t*o - 1/4 + o**4 = 0 for o.
-1, 1/4
Let b(k) be the second derivative of k**4/4 - 7*k**3/2 - 12*k**2 - 7*k. Factor b(z).
3*(z - 8)*(z + 1)
Let w(d) be the second derivative of 1/6*d**4 - 2*d - 1/3*d**3 + 0*d**2 + 0 - 1/40*d**5. Determine r, given that w(r) = 0.
0, 2
Factor 1/5*t**3 - 4/5*t + 4/5*t**2 + 0 - 1/5*t**4.
-t*(t - 2)*(t - 1)*(t + 2)/5
Let -15*l + 15*l**2 + 26*l - 11*l + 5*l**4 + 20*l**3 = 0. What is l?
-3, -1, 0
Let k(x) be the third derivative of -x**8/1344 - x**7/280 + x**6/80 + x**5/24 - 7*x**4/32 + 3*x**3/8 - 6*x**2. Find y such that k(y) = 0.
-3, 1
Let v(j) be the second derivative of j**7/14 + j**6/5 + 3*j**5/20 + 3*j. Factor v(i).
3*i**3*(i + 1)**2
Let j(r) be the second derivative of 5*r**7/63 + 13*r**6/45 + 3*r**5/10 - r**4/18 - 2*r**3/9 + 34*r + 2. Find l such that j(l) = 0.
-1, 0, 2/5
Let p(a) be the third derivative of -a**5/150 + 4*a**2. Suppose p(f) = 0. Calculate f.
0
Factor -3/5*u**3 - 4/5 + 12/5*u + 1/5*u**2.
-(u - 2)*(u + 2)*(3*u - 1)/5
Suppose 3*z - 2 = -2*l + 1, 5*l = 5*z + 20. Suppose -l*d - 4 = -5*d. Find f, given that 0 - 4/5*f + 2/5*f**3 + 2/5*f**d = 0.
-2, 0, 1
Let w(f) = -155*f**3 + 110*f**2 + 65*f - 155. Let x(j) = -7*j**3 + 5*j**2 + 3*j - 7. Let n(p) = 2*w(p) - 45*x(p). Factor n(t).
5*(t - 1)**2*(t + 1)
Let c(j) = -24*j**2 - 14*j. Let o(d) = 5*d**2 + 3*d. Let h = -2 - 12. Let y(t) = h*o(t) - 3*c(t). Solve y(b) = 0.
0
Let f(o) be the second derivative of -o**6/60 - o**5/15 - o**4/12 - 5*o**3/6 - o. Let v(d) be the second derivative of f(d). Determine u, given that v(u) = 0.
-1, -1/3
Let o(n) = -3*n**2 - 2*n. Let u(s) = -s**2 - s + 1. Suppose -2*k + 3*j + 8 = 0, k + 5*j + 0 + 9 = 0. Let b(r) = k*o(r) + u(r). Factor b(i).
-(i + 1)*(4*i - 1)
Let b(j) = -3*j**4 - 15*j**3 - 18*j**2 + 6*j + 30. Let z(v) = v - 1. Let r(p) = b(p) + 6*z(p). Suppose r(m) = 0. Calculate m.
-2, 1
Let r(h) = -18*h + 1. Let g be r(-1). Let u = -16 + g. Factor -6*k**2 - 3/5*k**5 - 3/5*k**u + 12/5*k**4 + 24/5 + 12/5*k.
-3*(k - 2)**3*(k + 1)**2/5
Let s be 1 + -1 + (-12)/(-54). Find a, given that 16/9 + 10/9*a**3 - 8/9*a - 4/3*a**2 - s*a**4 = 0.
-1, 2
Let a(p) = -p. Let i be a(-2). Factor -4*k**3 - 2*k - k**4 + k - 3*k - 1 - 6*k**i.
-(k + 1)**4
Let r(q) be the second derivative of q**5/60 - q**4/8 + q**3/3 + 3*q**2/2 - q. Let j(i) be the first derivative of r(i). Solve j(m) = 0 for m.
1, 2
Find v such that 2/5*v + 0 - 2/5*v**3 + 0*v**2 = 0.
-1, 0, 1
Let 2/5*q**2 - 4/5 + 2/5*q = 0. Calculate q.
-2, 1
Suppose -3*z + 9 = -3*j, -4*z + 5*z = -5*j + 15. Let 4 + 2*d - 6*d**2 - d**3 - d**3 + d**2 + d**j = 0. What is d?
-2, -1, 1
Let k be (12/4 - 2)/((-1)/(-4)). Let z(n) be the first derivative of 3/7*n**2 + 2/7*n**3 + 2/7*n + 2 + 1/14*n**k. Determine b, given that z(b) = 0.
-1
Let d = 37 - 13. Let z be 0 + (1 - -3)/d. Let 1/6*x + 1/6*x**2 - z*x**4 - 1/6*x**3 + 0 = 0. What is x?
-1, 0, 1
Let n(y) be the first derivative of -1/4*y**4 + 1/5*y**5 + 2*y + 1/2*y**2 + 5 - y**3. Factor n(q).
(q 