 = 3*q(j) - 8*z(j). Factor t(y).
y*(y - 1)
Let y(n) = -3*n**3 - 2*n**2 + 1. Let p be y(-1). Solve 2*g + 8*g**2 - g**p - 4*g**4 - 3*g**2 - 2*g**5 = 0.
-1, 0, 1
Suppose -131 = -70*p + 79. Let f be 0 + 0 + 10/6. Let p*c + 7/3*c**4 - 2/3 - 3*c**3 - f*c**2 = 0. What is c?
-1, 2/7, 1
Let q be (-23)/(-5) - (8 + -5). Factor -2/5*d**2 - q - 8/5*d.
-2*(d + 2)**2/5
Let c be (22/(-99))/(1/(-9)). Suppose -3/5*d**c + 0*d + 3/5 = 0. Calculate d.
-1, 1
Let m(z) be the second derivative of -z**6/5 + z**5/5 + z**4/6 - 4*z. Suppose m(q) = 0. Calculate q.
-1/3, 0, 1
Suppose a - 5 + 21 = -4*v, 0 = 2*v + 3*a + 8. Let g be v/8*16/(-6). Determine b so that -1/3*b**3 - 2/3*b**2 + g*b**4 + 0 + 0*b + b**5 = 0.
-1, 0, 2/3
Find z, given that -z - 3/4*z**3 + 0 + 2*z**2 = 0.
0, 2/3, 2
Let z = 619/410 + -2/205. Find m, given that 0 + 1/2*m**5 - m + 5/2*m**2 - 1/2*m**4 - z*m**3 = 0.
-2, 0, 1
Let q(r) = r**4 - r**2 + r + 1. Let o(n) = -n**5 - 5*n**4 - 5*n**3 - n**2 - n - 1. Let j be -1 - (-2 - (-1 - -2)). Let v(w) = j*q(w) + 2*o(w). Factor v(i).
-2*i**2*(i + 1)**2*(i + 2)
Solve -10/3 + 35/3*z**2 - 25/3*z = 0 for z.
-2/7, 1
Let d(k) be the first derivative of k**4 + 16*k**3/3 + 6*k**2 - 4. Factor d(z).
4*z*(z + 1)*(z + 3)
Let s(h) be the second derivative of h**8/4800 + 2*h**7/1575 + 11*h**6/3600 + h**5/300 + 5*h**4/12 - 4*h. Let o(l) be the third derivative of s(l). Factor o(j).
(j + 1)**2*(7*j + 2)/5
Suppose 34*j + 12 = 40*j. Factor 6/5*t**3 - 2/5*t**j + 0 + 2/5*t**5 + 0*t - 6/5*t**4.
2*t**2*(t - 1)**3/5
Let h be (-6)/(-2 + (-3)/(-6)). Solve 0*z**2 + 4*z**2 + z**2 - 2*z**h - z + z**5 - 3*z**2 = 0.
-1, 0, 1
Let s(d) be the second derivative of -2*d**7/21 - 2*d**6/5 - d**5/5 + d**4 + 4*d**3/3 + 12*d + 4. Solve s(h) = 0 for h.
-2, -1, 0, 1
Let g = -4 - -6. Let w(j) be the second derivative of 0 + 1/42*j**4 + 2/21*j**3 + 2*j + 0*j**g. Factor w(h).
2*h*(h + 2)/7
Let z be ((-4)/20)/((3 + -1)/(-2)). Let w(a) be the second derivative of 0*a**3 + 0 + z*a**5 - a**2 + a + 1/2*a**4. Determine g, given that w(g) = 0.
-1, 1/2
Let m = 8 - 6. Suppose n**2 - n**2 - n**m + 2*n**2 = 0. Calculate n.
0
Determine u so that 1675*u**4 - 109*u - 1910*u**3 - 375*u**5 + 38*u + 820*u**2 - 49*u = 0.
0, 2/5, 2/3, 3
Find y such that 2/5*y**5 + 0 - 8/5*y**4 - 8/5*y**2 + 2/5*y + 12/5*y**3 = 0.
0, 1
Let a be (-8)/6*(-150)/20. Let f(k) = k - 8. Let t be f(a). Factor n**3 + 0 - 1/2*n**4 - 1/2*n**t + 0*n.
-n**2*(n - 1)**2/2
Let o = 31/92 - 2/23. Find n such that -o*n**2 + 1/2*n + 3/4 = 0.
-1, 3
Let w be (0/3)/(8/(-4) + 0). Let v(i) be the third derivative of -1/120*i**5 + 0*i**3 + w*i + 0 + 3*i**2 + 1/24*i**4. Factor v(l).
-l*(l - 2)/2
Let b(p) = -p**2 + p + 1. Let y(w) = -5*w**2 + 15*w. Let g(f) = -10*b(f) + y(f). Determine n so that g(n) = 0.
-2, 1
Let v(x) be the third derivative of x**6/150 + x**5/25 + x**4/10 + 2*x**3/15 + x**2 + 7*x. Let v(d) = 0. What is d?
-1
Let g = -431/6 - -3125/42. Let w = -29/14 + g. Factor 1/2*p**2 + 0 - w*p.
p*(p - 1)/2
Let a be ((-4)/3)/((-1)/6). Suppose -4 = -3*z + a. Solve r**3 + 0 - 3*r**2 + 14/3*r**z + 2/3*r = 0.
-1, 0, 2/7, 1/2
Suppose -2*s = -4*m + 49 - 7, 0 = 4*m - s - 45. What is w in -8/3 - 25/3*w**3 + m*w - 10*w**2 = 0?
-2, 2/5
Let y(g) be the first derivative of -2*g**6/3 + 10*g**5/3 - 41*g**4/6 + 22*g**3/3 - 13*g**2/3 + 4*g/3 - 1. Suppose y(r) = 0. Calculate r.
1/2, 2/3, 1
Let x(p) be the first derivative of -7*p**5/15 + p**4 + 4*p**3/9 - 33. Factor x(k).
-k**2*(k - 2)*(7*k + 2)/3
Let z(k) be the first derivative of 1/5*k**3 + 1/5*k - 1 - 1/20*k**4 - 3/10*k**2. Factor z(s).
-(s - 1)**3/5
Let x be (-128)/(-96)*(-9)/(-4). Solve -6/5*p**2 + 3/5*p - 3/5*p**x + 6/5 = 0 for p.
-2, -1, 1
Suppose -4*t = -7*t + 36. Factor -3*f + 14*f**2 + f + f - t*f**2.
f*(2*f - 1)
Let p = 12 + -7. Let r(j) be the first derivative of 0*j**2 + 1/3*j**3 + 0*j - 3 + 0*j**4 - 1/5*j**p. Factor r(l).
-l**2*(l - 1)*(l + 1)
Let b(h) be the third derivative of -h**5/20 + 17*h**4/24 - 5*h**3/3 - 11*h**2. Suppose b(l) = 0. Calculate l.
2/3, 5
Let m = -354 - -2482/7. What is j in -2/7*j - 2/7 + m*j**2 = 0?
-1/2, 1
Let n(j) = j**3 - 7*j**2 + 4*j - 4. Let b(y) = -3*y**3 + 27*y**2 - 15*y + 15. Let w(x) = -4*b(x) - 15*n(x). Factor w(f).
-3*f**2*(f + 1)
Let q(i) be the first derivative of 2*i**3/21 - 2*i**2/7 - 9. Factor q(n).
2*n*(n - 2)/7
Suppose 0*y + 8/3*y**2 + 0 + 10/3*y**5 + 34/3*y**4 + 32/3*y**3 = 0. What is y?
-2, -1, -2/5, 0
Let z(v) = 1. Let c(g) = -4*g**2 + 56*g + 2. Let u(m) = -c(m) + 2*z(m). Let u(s) = 0. Calculate s.
0, 14
Let d be (3 - (-11)/(-3))*-3. Solve 2*m**3 + 12 + d*m**2 - 12 = 0.
-1, 0
Factor 2/3*r**3 + 8/15 + 16/5*r + 14/5*r**2.
2*(r + 2)**2*(5*r + 1)/15
Let h be (-2)/(-11) + (-97)/(-11). Let r(o) = o**3 - 8*o**2 - 8*o - 7. Let x be r(h). Factor 4*j - 25*j**3 + 2*j**x + 26*j**3 - 3*j.
j*(j + 1)**2
Factor -4*r**2 - 34*r**4 + 0 - 5*r**5 - 32*r + r**5 + 38*r**4 + 20*r**3 - 16.
-4*(r - 2)**2*(r + 1)**3
Suppose 13*z - 17*z = -80. Let c be 6*z/15 + -4. Factor -1 + 128*s**5 - 128*s**c - 31/2*s - 208*s**3 - 88*s**2.
(s - 2)*(4*s + 1)**4/2
Let y(t) = -t**3 + t**2 + t. Let q(j) = 6*j**3 - 10*j**2 - 4*j + 8. Let i(z) = q(z) + 4*y(z). Solve i(w) = 0 for w.
-1, 2
Let h(a) be the first derivative of 4*a - 5 + 3/2*a**2 - 1/3*a**3. Factor h(u).
-(u - 4)*(u + 1)
What is p in -4*p**2 - 5*p**2 - 9*p - 34 + 6*p**2 + 46 = 0?
-4, 1
Suppose 4*j + 12 = -12. Let c(w) = -4*w**3 + 6*w**2 - 2. Let u(g) = -5*g**3 + 7*g**2 - 3. Let s(i) = j*c(i) + 4*u(i). Factor s(y).
4*y**2*(y - 2)
Let f(l) be the second derivative of 4*l**6/25 + 17*l**5/50 - l**4/30 - l**3/3 + l**2/5 - 21*l. Let f(u) = 0. What is u?
-1, 1/4, 1/3
Let r = 1 - -2. Suppose m**r - 4*m + 6*m + m**3 - 5*m**2 = 0. What is m?
0, 1/2, 2
Solve 3*r**3 - 3*r**3 + 24*r**2 + 48*r + 0*r**3 + 3*r**3 = 0.
-4, 0
Let l(u) be the first derivative of u**8/336 - u**7/210 + 3*u**2/2 + 1. Let f(r) be the second derivative of l(r). Let f(d) = 0. What is d?
0, 1
Let x(y) be the second derivative of y**6/60 - y**5/10 - y**4/8 + 5*y**3/6 + 2*y**2 + 64*y. Factor x(a).
(a - 4)*(a - 2)*(a + 1)**2/2
Let k(c) = 0 + c + 4 + 3. Let y be k(-5). Factor -1 + 7/2*w**y + 5/2*w.
(w + 1)*(7*w - 2)/2
Let a be (6/5)/(6/10). Factor 1/4*z**a - 1 + 0*z.
(z - 2)*(z + 2)/4
Let m(z) be the second derivative of z**7/14 - 3*z**5/20 - 6*z. Determine l so that m(l) = 0.
-1, 0, 1
Let q(j) be the third derivative of -j**11/1164240 + j**9/105840 - j**7/17640 - j**5/20 - 3*j**2. Let x(z) be the third derivative of q(z). Factor x(l).
-2*l*(l - 1)**2*(l + 1)**2/7
Let l(z) = 5*z**2 + z. Let d(a) = 21*a**2 + 3*a. Let g(s) = -2*d(s) + 9*l(s). Factor g(y).
3*y*(y + 1)
Suppose 0*f - 5*f = 30. Let t be (f/(-8))/((-9)/(-6)). Solve t - o**2 + 1/2*o = 0.
-1/2, 1
Suppose 0 = s + 3, 5*i + s = 12. Determine y, given that -i*y + 3*y**2 - 2*y + 4*y + 4*y = 0.
-1, 0
Let o(m) = 14*m**2 - 17*m - 2. Let t(h) = -7*h**2 + 8*h + 1. Let p(u) = 6*o(u) + 15*t(u). Factor p(c).
-3*(c - 1)*(7*c + 1)
Let g(h) be the second derivative of h**6/3 + h**5/4 - 13*h. Factor g(j).
5*j**3*(2*j + 1)
Let o(m) be the third derivative of -m**6/300 - m**5/50 + m**4/60 + m**3/5 + 50*m**2. Factor o(l).
-2*(l - 1)*(l + 1)*(l + 3)/5
Let g(s) be the first derivative of s**3/3 - s**2/4 - s/2 + 6. Factor g(o).
(o - 1)*(2*o + 1)/2
Let m(c) be the third derivative of 0*c**4 + 0*c**3 - 3/160*c**6 + 2*c**2 - 1/448*c**8 + 3/280*c**7 + 0*c + 0 + 1/80*c**5. Let m(o) = 0. Calculate o.
0, 1
Let d(q) be the first derivative of 3*q**4/20 - 3*q**3/5 + 3*q**2/5 - 16. Factor d(n).
3*n*(n - 2)*(n - 1)/5
Let m be (-28)/(-4)*(-1)/(-7). Let x(t) be the first derivative of m - 4*t - 9/4*t**4 - 8*t**2 - 7*t**3. Factor x(l).
-(l + 1)*(3*l + 2)**2
Factor 4*l + 4/5*l**3 - 24/5*l**2 + 0.
4*l*(l - 5)*(l - 1)/5
Let c(b) be the first derivative of -b**6/30 - 3*b**5/25 - 3*b**4/20 - b**3/15 + 2. Factor c(r).
-r**2*(r + 1)**3/5
Factor -2/9*t**3 + 16/9 + 8/9*t - 4/9*t**2.
-2*(t - 2)*(t + 2)**2/9
Let b(o) be the first derivative of o**6/15 + o**5/10 - o**4/6 - o**3/3 + 2*o - 1. Let c(q) be the first derivative of b(q). Determine f so that c(f) = 0.
-1, 0, 1
Let k(m) be the third derivative of -m**6/48 + m**5/24 + 5*m**4/48 - 5*m**3/12 + 4*m**2. Find t, given that k(t) = 0.
-1, 1
Suppose -5 = 3*x - 4*x. Let t(h) be the first derivative of -8*h + 2*h**2 + 10/3*h**3 - 1/6*h**6 + 1 -