 Let q = 56 - n. Suppose -4*a - 14*a + 5*a**2 - q*a**2 - 10*a**3 - 4 = 0. What is a?
-1, -2/5
Let u = 2027/9 + -225. Let p(y) be the third derivative of u*y**3 + 2*y**2 - 1/90*y**5 - 1/36*y**4 + 0*y + 0. Factor p(l).
-2*(l - 1)*(l + 2)/3
Suppose -f = -g + 1, -3*g - 3 = -3*f - 2*f. Factor -33*u + 162*u**f + 90*u**2 - 4 - 31*u + 7 + 5.
2*(u + 1)*(9*u - 2)**2
Factor 18/5*u**2 + 2/5*u**4 + 0 + 12/5*u**3 + 0*u.
2*u**2*(u + 3)**2/5
Let d(l) be the third derivative of 3/5*l**3 + 0 + 1/150*l**5 + 0*l + 3*l**2 + 1/10*l**4. Determine a, given that d(a) = 0.
-3
Let f be (-5)/30*4 + 2/3. Let 0 + 1/2*d**2 + f*d = 0. Calculate d.
0
Let n(o) be the first derivative of -5 + 0*o - 1/24*o**6 - 1/10*o**5 + 3/16*o**4 - 1/2*o**2 + 1/3*o**3. Factor n(i).
-i*(i - 1)**2*(i + 2)**2/4
Let b(y) be the first derivative of 2*y**3/21 - 18*y/7 + 9. Determine l, given that b(l) = 0.
-3, 3
Let p(f) be the first derivative of f**4/4 + f**3/2 - 3*f**2 - 2*f + 1. Let r(d) be the first derivative of p(d). Find n such that r(n) = 0.
-2, 1
Let c(j) = 8*j + 8*j**2 + 5*j**3 - 4*j**3 + 11 - 1. Let i be c(-7). Factor 0 + 4/7*b**2 - 2/7*b - 2/7*b**i.
-2*b*(b - 1)**2/7
Let d be (-32)/272 + (2232/476 - 4). Let 2/7*y - 2/7*y**2 + d = 0. Calculate y.
-1, 2
Suppose -16 = 4*j, -5*l - 2*j + 0 = -7. Let n(t) be the first derivative of 1/8*t**4 - 1/4*t**2 - 1/6*t**l + 1/10*t**5 + 1 + 0*t. Factor n(r).
r*(r - 1)*(r + 1)**2/2
Let p(w) be the third derivative of w**7/840 - w**5/240 - w**2. Factor p(t).
t**2*(t - 1)*(t + 1)/4
Let u(j) be the second derivative of 1/72*j**4 + 0 - 1/12*j**2 + 1/120*j**5 + 5*j - 1/36*j**3. Let u(n) = 0. Calculate n.
-1, 1
Let i = -2 - -5. Suppose -2*x + 4 = i*w, -6*x + 6 = -3*x - 4*w. Factor -3*z**4 + x*z**2 + 3*z**2 + z**4 - z**2 - 2.
-2*(z - 1)**2*(z + 1)**2
Let m(b) be the first derivative of 0*b + 7/3*b**3 - 9/4*b**4 - b**2 + 5 - 1/6*b**6 + b**5. Factor m(l).
-l*(l - 2)*(l - 1)**3
Let d be (-4)/(-6)*(-117)/420. Let n = 1/10 - d. Factor n*k**2 + 0 - 2/7*k.
2*k*(k - 1)/7
Let c be -4 - ((-16)/96)/((-2)/(-52)). Let l(u) be the first derivative of 1/12*u**4 + 1/2*u**2 + 3 - 1/3*u - c*u**3. Factor l(m).
(m - 1)**3/3
Let w(l) = 10*l**2 + 29*l + 30. Let u(n) = 2*n**2 + 3*n + 9. Let v(r) = 2*r**2 + 4*r + 8. Let j(s) = 2*u(s) - 3*v(s). Let a(d) = 11*j(d) + 2*w(d). Factor a(k).
-2*(k + 1)*(k + 3)
Suppose 0 = 3*n - 6. Solve 0*i - 5*i**n + 5*i**2 - 2*i**2 + 2*i = 0 for i.
0, 1
Let h(d) = 1. Let t(v) = -v**2 + 6*v + 2. Suppose 5*a - 112 = -2*l, -l - 12 = 2*a - 57. Let q(z) = a*h(z) - 2*t(z). Determine g, given that q(g) = 0.
3
Let i(s) be the third derivative of -s**7/1260 - s**6/108 - 2*s**5/45 - s**4/9 - s**3/6 + 4*s**2. Let b(u) be the first derivative of i(u). Factor b(m).
-2*(m + 1)*(m + 2)**2/3
Let k(h) = -2*h + 4. Let t be k(0). Factor 18*j**3 + j**4 + 1 - 2*j**t - 16*j**3 - 2*j.
-(j - 1)**3*(j + 1)
Let j(i) be the third derivative of -i**8/504 + i**7/105 - i**6/60 + i**5/90 - 6*i**2. Determine g, given that j(g) = 0.
0, 1
Let u be (-1)/3*(0 + -6). Let -4*t**3 + t**3 + 7*t**2 - u*t - 2*t**3 = 0. Calculate t.
0, 2/5, 1
Factor -160*x**2 + 154*x**2 - 2*x**3 + 9*x - x.
-2*x*(x - 1)*(x + 4)
Suppose -10 = -2*k, 2*k = -h + 6 + 7. Factor 1/2*q**h + q + 0 + 3/2*q**2.
q*(q + 1)*(q + 2)/2
Let z(d) = -d - 2. Let u be z(-4). Let f be u*((-3)/3 - -2). Suppose 3 - 3*j**f - 1 - 5*j**2 + 6*j = 0. What is j?
-1/4, 1
Let c(d) = -4 + 2 + 0 + 1. Let v(h) = -2*h**2 + 6*h + 4. Let q(p) = 4*c(p) + v(p). Factor q(y).
-2*y*(y - 3)
Let g(o) = 69*o**3 - 129*o**2 + 36*o + 9. Let h(c) = 17*c**3 - 32*c**2 + 9*c + 2. Let i(q) = -4*g(q) + 15*h(q). Factor i(t).
-3*(t - 1)**2*(7*t + 2)
Let p be 110*(-4)/(-56) - 1*4. Factor 0 - 3/7*z**5 - 3*z**2 - 15/7*z**4 - p*z**3 - 6/7*z.
-3*z*(z + 1)**3*(z + 2)/7
Let b be 1088/(-24) - (-1)/3. Let j = b + 317/7. Factor 2/7*p**2 - 4/7 - j*p.
2*(p - 2)*(p + 1)/7
Let m(g) be the third derivative of -g**4/24 - 3*g**3/2 - g**2. Let x be m(-9). Determine f, given that 4/3*f + x + 2/3*f**2 = 0.
-2, 0
Let z = -34/3 - -12. Factor 0 + 0*q**2 + 0*q + z*q**4 + 1/3*q**5 + 1/3*q**3.
q**3*(q + 1)**2/3
Factor 12/5 + 3/5*b**4 + 12/5*b - 6/5*b**3 - 9/5*b**2.
3*(b - 2)**2*(b + 1)**2/5
Let g be 9/21 - (0 + 100/(-28)). Factor 0 + 3/2*b**g - 3*b**3 + 3*b - 3/2*b**2.
3*b*(b - 2)*(b - 1)*(b + 1)/2
Let g(n) = -7*n**2 + 2*n + 5. Let a(s) = 3*s**2 - s - 2. Let t(q) = 10*a(q) + 4*g(q). Factor t(o).
2*o*(o - 1)
Let i(k) be the second derivative of k**7/63 + 7*k**6/45 + 19*k**5/30 + 25*k**4/18 + 16*k**3/9 + 4*k**2/3 + 7*k. Determine q so that i(q) = 0.
-2, -1
Suppose -5*j - 14 = -2*s, -2*s + 2*j + 2*j + 12 = 0. Let l(v) be the second derivative of 1/6*v**2 + 0 + 1/36*v**3 - 1/72*v**4 + s*v. Factor l(m).
-(m - 2)*(m + 1)/6
Let x be -2*((-141)/6 - 1). Suppose -17 = -2*m + 3*t, 5*m + 3*t - x = 4*t. Factor -6*w**2 + 6*w**3 + 38*w**2 - 3 - 1 + m*w + 12*w**3.
2*(w + 1)**2*(9*w - 2)
Let a = -15 + 20. Let h(l) be the first derivative of 2 + 0*l**2 + 1/5*l**a + 0*l + 1/6*l**3 + 1/24*l**6 + 5/16*l**4. Find r, given that h(r) = 0.
-2, -1, 0
Find t, given that 14/9*t**2 + 4/3*t + 0 + 2/9*t**3 = 0.
-6, -1, 0
Let v(z) = -z - 6. Let k be v(-9). Suppose -6*m = -2*r - 4*m + 18, 34 = 4*r - 2*m. Factor -5*j**2 + 4*j + 2 - 2*j**k + 3*j - r*j.
-(j + 1)*(j + 2)*(2*j - 1)
Suppose -5/2 - 1/2*y**2 + 3*y = 0. Calculate y.
1, 5
Let n be (-54)/22 - (0 + -3). Let j = n + -1/22. Find v such that 2*v**3 + j*v**4 + 2*v**2 + 0*v + 0 = 0.
-2, 0
Let u = -8 + 13. Solve 0*k**5 + k**u + 2*k**3 + k**2 - k**4 + k**3 - 4*k**3 = 0 for k.
-1, 0, 1
Let o = 4 - 2. Factor -z**2 + 0*z**4 + 3*z**4 + 0*z**o - 2*z**5 + 4*z**5.
z**2*(z + 1)**2*(2*z - 1)
Let z(g) be the third derivative of -g**5/60 - g**4/24 + g**3/3 + 6*g**2. Factor z(v).
-(v - 1)*(v + 2)
Suppose -p - 5*m + 2 = 0, -p + 4*m + 12 = -m. Let f = -4 + p. What is j in 2*j**5 + 2*j**2 - j**2 + 7*j**f - 3*j**2 - j**3 - 6*j**4 = 0?
0, 1
Let q(f) = -f**4 + 2*f**3 - 3*f**2 - 2*f + 4. Let u(b) = -b**4 + 2*b**3 - 2*b**2 - 2*b + 3. Let t(k) = 4*q(k) - 6*u(k). Factor t(x).
2*(x - 1)**3*(x + 1)
Let c(i) be the first derivative of -i**5/150 - 2*i**4/15 - 16*i**3/15 - 3*i**2/2 - 4. Let f(w) be the second derivative of c(w). Factor f(n).
-2*(n + 4)**2/5
Let c(l) be the third derivative of 1/30*l**4 + 0*l**3 - 1/300*l**6 + 0*l - 1/150*l**5 - 5*l**2 + 0. Factor c(s).
-2*s*(s - 1)*(s + 2)/5
Let b(x) = x**3 + x**2 + x + 1. Let p(a) = 864*a**4 - 1286*a**3 + 514*a**2 - 66*a + 14. Let c(q) = 10*b(q) - p(q). Suppose c(f) = 0. Calculate f.
1/6, 1
Let w be (5/(-4))/((-8)/32). Suppose -2*b**3 - 18*b**4 - w*b**5 + 11*b**4 + 0*b**3 = 0. What is b?
-1, -2/5, 0
Let z(r) be the second derivative of r**6/60 + 3*r**5/40 + r**4/8 + r**3/12 + 4*r**2 + 6*r. Let m(b) be the first derivative of z(b). Let m(j) = 0. What is j?
-1, -1/4
Let g be 6/1*(-119)/(-42). Suppose 5*v = g - 7. Factor 0 + 5/2*o**2 + 1/2*o**4 + o + v*o**3.
o*(o + 1)**2*(o + 2)/2
Let w be 0 + 2 + 2 + 1. Suppose -5*d - 21 = -4*m, 3*d - 2 = -m + d. Find g such that 4*g**5 + 2*g**2 - m*g**5 - 6*g**3 + 6*g**4 - 2*g**w = 0.
0, 1
Let i(f) = f**2 - f - 1. Let y = -3 + 3. Suppose 3*a = -y*a + 3. Let w(m) = -2*m**3 - 2*m**2 + 4*m + 2. Let k(s) = a*w(s) + 2*i(s). Factor k(j).
-2*j*(j - 1)*(j + 1)
Let g = -1443/7 - -207. Find t, given that -2/7*t**5 + 0*t + 2/7*t**3 - g*t**4 + 2*t**2 - 8/7 = 0.
-2, -1, 1
Let h be (1 - 0)/(4 + (1 - 4)). Let g(l) be the first derivative of -1/3*l**3 + h - 3/2*l**2 - 2*l. Suppose g(a) = 0. What is a?
-2, -1
Let u(g) be the second derivative of -g**7/21 + g**5/10 + 4*g. Factor u(t).
-2*t**3*(t - 1)*(t + 1)
Let r(z) be the first derivative of z**4/4 + z**3 + 9*z**2/8 + z/2 - 3. Factor r(m).
(m + 2)*(2*m + 1)**2/4
Let n = -123 - -4429/36. Let i(h) be the second derivative of 0 - 3*h - 1/6*h**2 + 1/18*h**3 + n*h**4 - 1/60*h**5. Suppose i(y) = 0. What is y?
-1, 1
Let f(p) be the first derivative of -p**3 - 3*p**2 + 1. Factor f(a).
-3*a*(a + 2)
Let h(n) = -n**3 + 3*n**2 - 4*n. Let s(o) = -3*o**3 + 9*o**2 - 13*o. Let w(g) = -21*h(g) + 6*s(g). Find z, given that w(z) = 0.
0, 1, 2
Let j be 6*(3 + (-658)/30). Let z = j + 114. Solve -4/5*p + z*p**3 + 2/5*p**2 + 0 = 0.
-2, 0, 1
Let r(o) = 9*o**2 - 7*o + 11. Let j(h) be the first derivative of 5*h**3/3 - 2*h**2 + 6*h + 4. Let t(i) = 11*j(i) - 6*r(i). Factor t(l).
l*(l - 2)
Let f(a) be the first d