*4 + 0*u**4.
-u**2*(u + 1)**2*(u + 2)
Let o(l) = -2*l + 4*l**2 + 8*l + l**2 + 6. Let a(g) = g**2 + g + 1. Let i(t) = -6*a(t) + o(t). Factor i(s).
-s**2
Let m be -2 - 3/((-3)/4). Suppose 1/2*c - 1/4*c**m - 1/4 = 0. Calculate c.
1
Factor -6*m**2 + 36*m + 19 - 8*m**2 - 7 - 7*m**2.
-3*(m - 2)*(7*m + 2)
Factor -3/5*m**4 + 0*m**2 + 0*m + 0 + 3/5*m**3.
-3*m**3*(m - 1)/5
Let z = 44/105 + -2/105. Let 0*h - 2/5*h**4 - z*h**3 + 0*h**2 + 0 = 0. Calculate h.
-1, 0
Factor -2/3*s**4 + 0*s - 2/3*s**5 + 0*s**2 + 0 + 4/3*s**3.
-2*s**3*(s - 1)*(s + 2)/3
Find f such that -3*f**3 - 4*f**3 + 3*f**3 + 4*f**2 = 0.
0, 1
Solve 14/9*d**4 + 4*d**3 + 2/9*d**5 + 40/9*d**2 + 0 + 16/9*d = 0.
-2, -1, 0
Let d = 23 + -21. Let q(a) be the second derivative of 0*a**4 - d*a + 0 + 0*a**5 + 1/168*a**7 + 0*a**2 + 0*a**3 + 0*a**6. Factor q(i).
i**5/4
Suppose -14*j - 6 = -6. Factor -3/4*t**4 + 0*t + 0 - 3/4*t**3 + j*t**2.
-3*t**3*(t + 1)/4
Let s(z) be the first derivative of -2 + 4/3*z + 1/3*z**2 - 1/6*z**4 - 4/9*z**3. Factor s(k).
-2*(k - 1)*(k + 1)*(k + 2)/3
Determine n so that 4/7 + 54/7*n**2 + 46/7*n**3 + 2*n**4 + 26/7*n = 0.
-1, -2/7
Let a(m) = -m**3 - 9*m**2 + 2*m + 8. Let h be a(-9). Let q = h - -10. What is o in -1/2*o**3 + 0*o**2 + 0*o - o**4 + q - 1/2*o**5 = 0?
-1, 0
Let v be (4/(-48))/(3*-1). Let u(c) be the second derivative of 0*c**2 + 0*c**3 + v*c**4 + 0 - c. Find y, given that u(y) = 0.
0
Suppose 0 = 2*r + 2*r - 32. Let i(z) = -z**3 + 7*z**2 + 8*z + 2. Let a be i(r). Let 0 + 1 + a*o**2 - 3*o**2 = 0. What is o?
-1, 1
Let v(f) be the second derivative of 0 - 2*f + 1/18*f**4 + 0*f**3 + 0*f**2. Factor v(j).
2*j**2/3
Let n(t) = -9*t**2 + 12*t - 2. Let o(z) = 9*z**2 - 12*z + 1. Let q(b) = -3*n(b) - 2*o(b). What is f in q(f) = 0?
2/3
Let v(m) be the third derivative of 0*m - m**2 + 4/5*m**5 + 0 + 3*m**4 + 9/2*m**3. Solve v(k) = 0 for k.
-3/4
Let m = 27 - -202. Factor -4*a**5 + m*a**3 + 5*a**2 - 5*a**2 - 225*a**3.
-4*a**3*(a - 1)*(a + 1)
Let x = 5 + 0. Suppose 10 = x*z - 0. Factor 2*y**2 - 9*y**3 - 3*y**5 - 3*y**z - 9*y**4 + y**2 - 3*y**2.
-3*y**2*(y + 1)**3
Let i = 21 - 19. Let u(j) be the third derivative of 1/24*j**3 + 1/80*j**5 + i*j**2 + 1/480*j**6 + 0*j + 1/32*j**4 + 0. Suppose u(m) = 0. Calculate m.
-1
Let r(i) be the third derivative of -i**8/504 + i**7/105 - i**6/90 - i**5/45 + i**4/12 - i**3/9 - 6*i**2. Find w such that r(w) = 0.
-1, 1
Let o(r) be the first derivative of -1 - 24/5*r**5 - 99/20*r**4 - 3/10*r**2 + 0*r - 2*r**3 - 8/5*r**6. Find h such that o(h) = 0.
-1, -1/4, 0
Let 0 - 8/11*a**3 - 2/11*a + 8/11*a**2 = 0. What is a?
0, 1/2
Suppose -15*a - 14*a = 0. Let -2/5*n - 2/5*n**2 + a = 0. What is n?
-1, 0
Let q(h) be the first derivative of 1/6*h**3 + 0*h + 3/2*h**2 - 2 - 1/48*h**4 - 1/120*h**5. Let s(f) be the second derivative of q(f). Factor s(d).
-(d - 1)*(d + 2)/2
Let r(n) = 4*n**3 + n**2 + 2*n**3 + 0*n**2 + n**4 - 5*n**3. Let a(d) = -3*d**4 - 3*d**3 - 9*d**2 - 3*d. Let s(z) = -a(z) - 6*r(z). Factor s(o).
-3*o*(o - 1)*(o + 1)**2
Let b(q) be the first derivative of q**7/4200 + 4*q**3/3 - 3. Let m(y) be the third derivative of b(y). Factor m(n).
n**3/5
Let z be (-18)/(-8)*(-8)/3. Let m(g) = -7*g**2 - g - 3. Let x(k) = -2*k**2 - 1. Let i(s) = z*m(s) + 22*x(s). Let i(w) = 0. Calculate w.
1, 2
Let s(h) be the first derivative of 2 - 1/12*h**3 + 0*h**2 + 1/20*h**5 + 0*h + 0*h**4. Factor s(a).
a**2*(a - 1)*(a + 1)/4
Suppose m = 4*c + 51, 4*m - c - 4*c = 259. Solve m*r - r**4 - 71*r + r**2 = 0 for r.
-1, 0, 1
Let d be 19/(-38) + (-22)/(-42). Let u(k) be the third derivative of 0*k**3 + 0 - 1/210*k**5 + d*k**4 - 2*k**2 + 0*k. Factor u(h).
-2*h*(h - 2)/7
Factor 0*n - 3/7*n**4 - 1/7*n**5 + 0*n**3 + 0 + 4/7*n**2.
-n**2*(n - 1)*(n + 2)**2/7
Let b(p) be the first derivative of -p**6/18 + p**5/15 + p**4/6 - 46. Let b(h) = 0. What is h?
-1, 0, 2
Let b(g) be the first derivative of 3*g**4 + 4*g**3 + 0*g - 10 + 2*g**2 + 4/5*g**5. Factor b(u).
4*u*(u + 1)**3
Suppose 3*u + 2*u - 7*u - 7*u + 3*u**2 = 0. Calculate u.
0, 3
Let y(u) be the first derivative of u**4/18 - 4*u**3/27 - 17. Factor y(a).
2*a**2*(a - 2)/9
Let y(z) = 5*z**4 + 2*z**3 - 3*z**2 + z + 1. Let d(s) = -36*s**4 - 14*s**3 + 20*s**2 - 8*s - 6. Let w(x) = 6*d(x) + 44*y(x). Factor w(u).
4*(u - 1)**2*(u + 1)*(u + 2)
Let h(c) be the second derivative of c**5/40 - c**4/6 + c**3/4 + 5*c. Factor h(b).
b*(b - 3)*(b - 1)/2
Let q be (-2)/6*1/(-4). Let l(x) be the first derivative of 1/4*x + q*x**3 + 1/4*x**2 + 2. What is b in l(b) = 0?
-1
Let s(i) be the second derivative of -9*i**5/20 + i**4 - i**3 - 3*i**2 + 6*i. Let u(o) = o**3 - o**2 + o + 1. Let n(z) = -s(z) - 6*u(z). Factor n(a).
3*a**2*(a - 2)
Let r(k) be the first derivative of -k**7/280 + k**6/60 + k**5/10 - k**4 + 2*k**3 + 7. Let q(b) be the third derivative of r(b). What is h in q(h) = 0?
-2, 2
Suppose -121 - 79 = -a. Let t be 30/a + (-2)/(-8). Solve -2/5*w**5 + 0 - 6/5*w**4 - t*w**2 - 6/5*w**3 + 0*w = 0.
-1, 0
Let f(c) = -c - 4. Let n be f(-7). Determine u, given that -2 + 2 - 4*u**n + 12*u**2 = 0.
0, 3
Let d = -5 + 5. Let s be ((-14)/(-3) - 2) + -2. Find n such that -1/3*n + 0*n**3 + 1/3*n**5 + d - s*n**2 + 2/3*n**4 = 0.
-1, 0, 1
Let p(s) be the first derivative of s**6/15 - s**4/5 + s**2/5 - 5. Solve p(w) = 0 for w.
-1, 0, 1
Suppose 2*h = 7 - 1. Let q(t) be the first derivative of 1 - 4/7*t - 8/21*t**h + 9/7*t**2. Factor q(u).
-2*(u - 2)*(4*u - 1)/7
Let a(z) be the third derivative of -z**7/105 + z**6/30 + z**5/10 - z**4/3 - 4*z**3/3 - 2*z**2. Factor a(y).
-2*(y - 2)**2*(y + 1)**2
Let i(x) be the second derivative of -5*x**4/12 + 5*x**3 - 20*x**2 - 3*x. Factor i(d).
-5*(d - 4)*(d - 2)
Let t(j) be the third derivative of -1/150*j**5 + 0*j - 1/120*j**4 - 5*j**2 + 0*j**3 + 0. Factor t(u).
-u*(2*u + 1)/5
Let y(f) be the second derivative of 0 - 3/4*f**2 - 3/8*f**3 + 4*f - 1/16*f**4. Find u, given that y(u) = 0.
-2, -1
Factor -3*i**3 - i**3 - 3*i**2 + i**3.
-3*i**2*(i + 1)
Let r(v) = -3*v + 8. Let k be r(2). Let b(y) be the first derivative of -2/9*y**3 + 0*y + k + 0*y**2 - 3/4*y**4. Factor b(z).
-z**2*(9*z + 2)/3
Let x = -90 + 93. Factor -1/2*s**x - 1/2*s - s**2 + 0.
-s*(s + 1)**2/2
Let q(c) be the second derivative of -3/8*c**4 - c**2 + c**3 + 7*c + 0. Find r, given that q(r) = 0.
2/3
Factor -64/5 + 96/5*a - 36/5*a**2 + 4/5*a**3.
4*(a - 4)**2*(a - 1)/5
Let f(n) be the first derivative of n**4/4 - n**3/3 + n - 3. Let h(u) be the first derivative of f(u). Factor h(z).
z*(3*z - 2)
Let q(a) = 12*a**4 + 14*a**3 + 18*a**2 - 16. Let t(x) = x**4 + x**3 + x**2 - 1. Let k(m) = 2*q(m) - 28*t(m). Factor k(r).
-4*(r - 1)**2*(r + 1)**2
Let p(h) = -h**5 - h**4 + h**3 - h. Let z(x) be the first derivative of x**6 + x**5 - 7*x**4/4 + 3*x**2 - 2. Let j(l) = 5*p(l) + z(l). Factor j(o).
o*(o - 1)**2*(o + 1)**2
Suppose -g - 4*g - 15 = 2*y, g = 5*y - 3. Let f(j) be the second derivative of -1/12*j**4 - 1/3*j**3 + y + 0*j**2 + 2*j. Let f(s) = 0. Calculate s.
-2, 0
Let j = 63/5 - 12. Find z, given that -3/5 - j*z**2 + 6/5*z = 0.
1
Let r be 0 - -1 - (-6 + (5 - 3)). Let m(j) be the third derivative of -1/20*j**6 - 2/15*j**r + 4*j**2 + 0 + 0*j - 1/12*j**4 + 0*j**3. Factor m(c).
-2*c*(c + 1)*(3*c + 1)
Determine q so that 28/11*q**2 - 14/11*q - 12/11 + 30/11*q**3 = 0.
-1, -3/5, 2/3
Let u(s) = 18*s**3 - 36*s**2 - 4*s + 6. Let m(n) = 90*n**3 - 180*n**2 - 21*n + 31. Let i(c) = 2*m(c) - 11*u(c). Factor i(g).
-2*(g - 2)*(3*g - 1)*(3*g + 1)
Let s(m) be the first derivative of 16*m**6/3 - 24*m**5/5 + m**4 - 8. Suppose s(t) = 0. Calculate t.
0, 1/4, 1/2
Factor -3*n**3 - n**2 - 2*n - 5*n**3 - 4*n**3 + 14*n**3 + n**4.
n*(n - 1)*(n + 1)*(n + 2)
Let v(y) be the second derivative of 4*y + 0*y**3 + 0*y**2 + 0 - 1/6*y**4. Factor v(c).
-2*c**2
Solve 18*s - 2*s**3 - 111*s**2 + 228*s**2 - s**4 + 9 - 109*s**2 = 0.
-3, -1, 3
Let o be 2 + (4 - 1) + -1. Factor -14*m**4 + 0 - m**2 + 17*m**3 - 2*m - o + 4.
-m*(m - 1)*(2*m - 1)*(7*m + 2)
Let g = 7 + -5. Let u = 2 - g. Factor -2/3*q + q**2 + u + 5/3*q**3.
q*(q + 1)*(5*q - 2)/3
Let l(t) be the second derivative of t**6/15 + t**5/25 - t**4/6 - 2*t**3/15 - 7*t. Let l(g) = 0. What is g?
-1, -2/5, 0, 1
Let a(b) be the first derivative of b**6/30 - 2*b**5/25 + 2*b**3/15 - b**2/10 + 26. Find x such that a(x) = 0.
-1, 0, 1
Suppose 0 = -3*c + c. Let s(l) be the third derivativ