a) be the first derivative of 0*a + 4 - 3/4*a**4 + a**3 - 1/2*a**q + 1/5*a**5. Factor m(z).
z*(z - 1)**3
Suppose 0 = 2*k - 6*k + 104. Suppose -5*g + k = 4*t, -4*g - g - 3*t + 22 = 0. Factor -1/2*p**g + p - 1/2.
-(p - 1)**2/2
Let r(b) = -3*b - 51. Let x be r(-18). Let k(g) be the first derivative of 4*g**2 - 3 - 2/3*g**x - 8*g. Factor k(a).
-2*(a - 2)**2
Let k be 4/1 + (3 - 4). Suppose -5*c - k*q = -9, -c + 15 = -0*c + 5*q. Factor -5*i**2 - i**3 + 6*i**2 + c*i**2.
-i**2*(i - 1)
Find a such that 0*a**3 + 51*a**4 + 8*a**3 - 7*a**4 + 60*a**5 = 0.
-2/5, -1/3, 0
Factor -1/4*c**3 - 13/4*c - 3/2 - 2*c**2.
-(c + 1)**2*(c + 6)/4
Find z such that 8*z**2 + 28*z + 65 + 2*z**2 - 71 = 0.
-3, 1/5
Let k(w) be the third derivative of -w**5/15 - 5*w**4/3 - 6*w**3 + 27*w**2. Factor k(z).
-4*(z + 1)*(z + 9)
Let p(w) be the first derivative of -2*w**3/3 + 3*w**2 - 4*w - 3. Find l, given that p(l) = 0.
1, 2
Let a(k) = k + 1. Let f be a(1). Suppose 0 = -2*z - f*b + 4, 3*z - 3*b + 5*b = 8. Solve 9/4*u**z - 3*u + 3*u**3 - 3/4 - 3/2*u**2 = 0.
-1, -1/3, 1
Let h = 721/580 + 1/145. Let m(o) be the first derivative of 3/5*o**5 - h*o**4 + 2/3*o**3 + 0*o**2 + 3 + 0*o. Factor m(l).
l**2*(l - 1)*(3*l - 2)
Find n such that 7/6*n**2 - 1/2*n**4 - 3/2*n**5 - 2/3 + 17/6*n**3 - 4/3*n = 0.
-1, -2/3, 1
Let z = 860/11 - 78. Factor 10/11*c**4 + 4/11*c + 18/11*c**3 + 0 + 14/11*c**2 + z*c**5.
2*c*(c + 1)**3*(c + 2)/11
Let f be 20/30 - 20/(-6). Let x(j) be the first derivative of -1/8*j**f + 1/4*j**2 + 1/4*j + 1 - 1/20*j**5 + 0*j**3. Let x(a) = 0. What is a?
-1, 1
Let a(p) be the third derivative of p**8/20160 - p**7/2520 + p**6/720 + p**5/30 + 4*p**2. Let r(k) be the third derivative of a(k). Factor r(x).
(x - 1)**2
Let i(h) be the second derivative of 2*h**7/105 - 13*h**6/120 + 11*h**5/60 - h**4/12 - 3*h**2/2 + 5*h. Let w(u) be the first derivative of i(u). Factor w(n).
n*(n - 2)*(n - 1)*(4*n - 1)
Factor 1/6*f**2 + 0 - 5/6*f.
f*(f - 5)/6
Let i = 29 - 55/2. Determine y, given that -i*y - 1/2 - 3/2*y**2 - 1/2*y**3 = 0.
-1
Factor -5*b**2 + 4*b**2 - b - b - 2*b**3 + 5*b**2.
-2*b*(b - 1)**2
Let -5*s**3 - 11/3*s - 28/3*s**2 + 2/3 = 0. What is s?
-1, 2/15
Determine g so that -6/7 - g + 0*g**2 + 1/7*g**3 = 0.
-2, -1, 3
Suppose -4*p - 10 = 2. Let a be (1 + (-21)/18)*p. Find l, given that -1/4*l + 0 + a*l**2 = 0.
0, 1/2
Let a(l) be the third derivative of 2*l**2 + 1/90*l**5 + 0 + 0*l**3 + 0*l**4 + 0*l. Factor a(q).
2*q**2/3
Let m(j) be the first derivative of -2*j**3/9 - 4*j**2/3 - 2*j + 2. Factor m(w).
-2*(w + 1)*(w + 3)/3
Let b be (8 + -6)/(1/2). Suppose b*k**2 + 0*k**2 + 18*k**3 + 20*k**4 - 6*k**4 = 0. What is k?
-1, -2/7, 0
Let t(g) = -7*g**3 - 4*g**2 + 4*g + 1. Let m(j) = -6*j**3 - 4*j**2 + 4*j + 2. Let z = 14 + -12. Let n(s) = z*t(s) - 3*m(s). Factor n(l).
4*(l - 1)*(l + 1)**2
Let c(v) be the first derivative of -2*v**3/27 - 2*v**2/9 - 2*v/9 - 7. Solve c(w) = 0 for w.
-1
Find v, given that -15/2*v**3 - 15/2*v**2 - 3/4 - 15/4*v - 3/4*v**5 - 15/4*v**4 = 0.
-1
Suppose -2*n - 4*k = -0 - 2, -5*n = -5*k - 20. Let p(z) be the second derivative of 1/54*z**4 + 2/27*z**3 + 0*z**2 + 0 - n*z. Find j such that p(j) = 0.
-2, 0
Factor 1/3 + 1/3*b**3 - 1/3*b - 1/3*b**2.
(b - 1)**2*(b + 1)/3
Let z(d) = -d**4 + 6*d**3 + 8*d**2 + 6*d - 7. Let k(m) = m**3 + m**2 + m - 1. Let n(r) = -6*k(r) + z(r). Solve n(a) = 0.
-1, 1
Let x(b) be the third derivative of -25*b**8/2016 + b**7/42 + 11*b**6/720 - b**5/30 - b**4/36 - 8*b**2. Factor x(j).
-j*(j - 1)**2*(5*j + 2)**2/6
Determine x, given that -2/5*x**4 - 4/5*x + 0 - 8/5*x**3 - 2*x**2 = 0.
-2, -1, 0
Let g(j) be the first derivative of j**8/315 - j**7/63 + j**6/120 + 13*j**5/360 + j**4/36 - 4*j**3/3 - 8. Let h(a) be the third derivative of g(a). Factor h(c).
(c - 2)*(c - 1)*(4*c + 1)**2/3
Let i(r) be the third derivative of -r**8/672 - r**7/210 - r**6/240 + r**2. Let i(u) = 0. Calculate u.
-1, 0
Solve -2/5*j**2 - 2/5*j + 0 = 0 for j.
-1, 0
Let a = 1/41 - -39/82. Factor 3/4*v**4 + 0 - a*v + 9/4*v**2 - 5/2*v**3.
v*(v - 2)*(v - 1)*(3*v - 1)/4
Let g = -31 - -31. Determine x so that -4/5*x + g + 0*x**2 + 5*x**3 = 0.
-2/5, 0, 2/5
Let p(x) be the third derivative of -x**7/105 - 7*x**6/60 - x**5/2 - 3*x**4/4 + 22*x**2. Solve p(a) = 0.
-3, -1, 0
Let o(m) be the first derivative of -4*m**3/15 - 22*m**2/5 + 23. Suppose o(s) = 0. What is s?
-11, 0
Let x be (-4)/((425/30)/(-17)). Suppose 9/5 + 16/5*s**2 - x*s = 0. What is s?
3/4
Let m(d) be the third derivative of -4/15*d**5 + 2/3*d**3 - 1/2*d**4 + 0*d + 7*d**2 + 0. Factor m(o).
-4*(o + 1)*(4*o - 1)
Let v = 2492/37 - 107774/1665. Let u = -20/9 + v. Factor -6/5*i**4 + 4/5*i**2 + u + 6/5*i - 4/5*i**3 - 2/5*i**5.
-2*(i - 1)*(i + 1)**4/5
Factor 2/7*a - 6/7 + 6/7*a**2 - 2/7*a**3.
-2*(a - 3)*(a - 1)*(a + 1)/7
Let q(x) be the first derivative of -5/2*x**4 - 1/3*x**2 - 3 + 6/5*x**5 + 0*x + 14/9*x**3. Factor q(f).
2*f*(f - 1)*(3*f - 1)**2/3
Let q(b) = b**2 + 8*b + 17. Let t be q(-5). Suppose 3/5 + 15*s**t + 6*s = 0. Calculate s.
-1/5
Let k = -2 - -3. Let g = k - -3. Find j, given that -4*j**2 - 24*j**2 + 8*j + 16 - 4*j**4 - 2*j**g - 26*j**3 = 0.
-2, -1, 2/3
Factor -k - 1/3 - k**2 - 1/3*k**3.
-(k + 1)**3/3
Factor -2/15*z**2 + 8/5 + 16/15*z - 2/15*z**3.
-2*(z - 3)*(z + 2)**2/15
Suppose 5*x = 4*i - 3, -6*x + 7 = 2*i - 3*x. Suppose -5*t = -2*z + 4 - 2, -z = -4*t - 1. What is r in 1/4*r**i + t - 1/4*r = 0?
0, 1
Suppose -134*w = -127*w - 14. Factor -2*l + 1/2*l**2 + w.
(l - 2)**2/2
Let m(z) = z + 10. Let j be m(-6). Suppose l = -3*y + y + 6, 2*y + j = 4*l. Factor -1/2*i**y + 2*i - 2.
-(i - 2)**2/2
Find g, given that 42*g**2 + 4*g**2 - 63*g + 5 - 84*g**3 - 1 + 97*g = 0.
-2/7, -1/6, 1
Let z(f) = -3*f**4 - 8*f**3 + 2*f**2 + 4*f + 5. Let h(t) = t**3 - t**2 + t - 1. Let w(s) = -2*h(s) - z(s). Suppose w(n) = 0. Calculate n.
-1, 1
Suppose -n + 31 = 5*i + 10, -4*n - 4 = -2*i. Suppose -16*v**2 - 27*v**i + 63*v**3 + 7*v + 18*v**2 + 5*v - 50*v**2 = 0. What is v?
0, 2/3, 1
Let j(p) = -p**2 - 11*p + 10. Let k be j(-12). Let s be 1 + k + 1 + 0. Solve -1/2*g + 3/4*g**2 - 1/4*g**3 + s = 0.
0, 1, 2
Let x(o) be the third derivative of -11*o**5/420 - o**4/84 - 27*o**2. Factor x(t).
-t*(11*t + 2)/7
Suppose b - 7 = -3. Suppose 3*t + 2 = b*z, -z + 3*z = -5*t + 14. Factor -3*c**3 - c**4 + c**3 + 2*c**z - c**4 + 2*c.
-2*c*(c - 1)*(c + 1)**2
Let a(x) be the first derivative of 3 - 3/10*x**2 + 3/5*x + 3/20*x**4 - 1/5*x**3. What is b in a(b) = 0?
-1, 1
Let f(d) = -15*d**2 - 3 + 8*d**3 - 5*d + 5*d**3 + 2*d - d**3. Let g(p) = p**4 - p**2 - p - 1. Let z(s) = f(s) - 3*g(s). Find q, given that z(q) = 0.
0, 2
What is m in 2*m**2 - m**4 + 3*m**4 + 2*m**3 + 2*m - 4*m - 4*m**2 = 0?
-1, 0, 1
Let z be (5/10)/((-1)/(-6)). Let -4*d - 2 + 6 - d**4 + 2*d - 3 + 2*d**z = 0. What is d?
-1, 1
Let b(m) = -m**4 + 13*m**3 + 5*m**2 - 5*m + 5. Let l(w) = w**4 - 7*w**3 - 3*w**2 + 3*w - 3. Let d(r) = -3*b(r) - 5*l(r). What is f in d(f) = 0?
-2, 0
Suppose 16 = 3*f + 37. Let l = -3 - f. Factor -h**5 + h**3 - l + 4.
-h**3*(h - 1)*(h + 1)
Let c(b) be the second derivative of 8*b**7/21 + 8*b**6/5 + 9*b**5/5 + 2*b**4/3 + 12*b. Let c(q) = 0. Calculate q.
-2, -1/2, 0
Let y(f) = f**2 + 3 + 3*f**2 - 2*f + 3 - f**3 - f**3. Let s(j) be the second derivative of j**2/2 - j. Let k(c) = -6*s(c) + y(c). Factor k(n).
-2*n*(n - 1)**2
Let h(k) be the second derivative of -k**7/189 - k**6/135 + k**5/45 + k. Let h(t) = 0. What is t?
-2, 0, 1
Let c(g) be the first derivative of g**6/24 - 17*g**5/80 + 7*g**4/16 - 11*g**3/24 + g**2/4 - 2*g - 4. Let z(x) be the first derivative of c(x). Factor z(y).
(y - 1)**3*(5*y - 2)/4
Let p(q) = q - 6. Let a be p(6). Suppose -14 = -2*w - 3*z - a*z, w + 3*z = 10. Factor -5*d**2 + d**w - d**2 + 5*d**2.
d**2*(d - 1)*(d + 1)
Let v be (-9)/(-18) - (-22)/4. Let -3*t**3 + v*t**3 - 5*t**2 - 4 + 16 - 4*t**2 = 0. What is t?
-1, 2
Let j be 7/(-28) + (-23)/(-12). Suppose 0*r + 2*k + 9 = 3*r, -4*r = k - 12. Solve -t**2 - j*t**r + 2/3*t + 0 = 0.
-1, 0, 2/5
Solve -4*h + 27/2*h**4 - 6*h**2 + 0 + 9*h**3 = 0.
-2/3, 0, 2/3
Let p(j) = -j**3 - j**2 - j. Let q(i) = -16*i**2 + 14*i + 32. Let l(c) = 2*p(c) - q(c). Let l(v) = 0. What is v?
-1, 4
Let k = -13 - -5. Let x(d) = -2*d**3 + 3*d**2 + 9*d - 7. Let o(t) = 6*t**3 - 8*t**2 - 26*t + 20. Let q(w) = k*x(w) - 3*o(w). Factor q(v).
-2*(v - 1)**2*(v + 2)
Facto