**4 + n*t + 2 - 1/12*t**3 + 0*t**2. What is s in y(s) = 0?
0, 1
Let b(u) = 430*u - 858. Let l be b(2). Factor 1/6*x**4 - 5/6*x**l + 0 - 1/6*x**5 + 1/2*x**3 + 1/3*x.
-x*(x - 1)**3*(x + 2)/6
Let q(g) be the second derivative of g**5/10 + 5*g**4/2 + 25*g**3 + 125*g**2 - 15*g + 4. Suppose q(b) = 0. Calculate b.
-5
Let i(c) = 1 - 2*c**2 + 1 + 3*c**2 - 23*c + 11*c. Let a be i(12). Suppose 4/9 - 10/9*x**a + 2/3*x = 0. Calculate x.
-2/5, 1
Let j(q) = 79*q**2 - 73*q - 3. Let v be j(1). Solve -4/7*t**2 + 4/7 - 2/7*t + 2/7*t**v = 0.
-1, 1, 2
Let -8/15*r**4 + 0 - 8/15*r**2 - 2/15*r**5 - 4/5*r**3 - 2/15*r = 0. What is r?
-1, 0
Let j(w) be the first derivative of -w**5/20 + 7*w**4/16 - 3*w**3/2 + 5*w**2/2 - 2*w + 152. Factor j(q).
-(q - 2)**3*(q - 1)/4
Suppose 0 + 1/3*k**5 - k**4 + k**2 + 4/3*k - 5/3*k**3 = 0. What is k?
-1, 0, 1, 4
Let z be (-16)/(-192) - 531/(-108). Factor -z*o + 7/3 + 3*o**2 - 1/3*o**3.
-(o - 7)*(o - 1)**2/3
Suppose 42 = 5*y + 17. Find c such that 82*c**3 - 1 - 342*c**3 - 40*c**2 + 1 - 350*c**4 + 245*c**y = 0.
-2/7, 0, 2
Let j = -1659 - -1662. Factor 8*d - 16/3 - 4*d**2 + 2/3*d**j.
2*(d - 2)**3/3
Let r(q) = -q**3 - 5*q**2 + 14*q + 3. Let g be r(-7). Factor 1/4*x**5 + 0 + 3/2*x**2 - 9/4*x - 3/2*x**4 + 2*x**g.
x*(x - 3)**2*(x - 1)*(x + 1)/4
Let n(t) = -t**2 - 15*t - 21. Let y be n(-11). Factor -29*o + 3*o**2 - 3 + y*o + 3.
3*o*(o - 2)
Let s(q) be the second derivative of -2/3*q**6 + 0*q**2 + 0 + 19*q + 2/21*q**7 - 7/3*q**4 + 9/5*q**5 + 4/3*q**3. Factor s(t).
4*t*(t - 2)*(t - 1)**3
Let j(x) be the second derivative of x**6/6 - 35*x**5/4 + 715*x**4/4 - 10285*x**3/6 + 6655*x**2 - 2*x. Factor j(y).
5*(y - 11)**3*(y - 2)
Let x be (-32)/(-6) - 2 - (-8)/(-6). Suppose 0 = -5*k + k + 8. Let 0*v - 6*v**2 - v**k - 4*v + 9*v**x - 6 = 0. What is v?
-1, 3
Let h(f) be the second derivative of f**5/120 - 5*f**4/72 + 16*f - 1. Factor h(c).
c**2*(c - 5)/6
Let j(l) be the third derivative of 1/160*l**6 + 0*l**3 + 0 + 18*l**2 + 1/96*l**4 - 1/840*l**7 - 1/80*l**5 + 0*l. Factor j(k).
-k*(k - 1)**3/4
Solve 28*d**2 + 0 + 1/3*d**5 - 4*d**4 + 49/3*d + 22/3*d**3 = 0 for d.
-1, 0, 7
Let x be (-4)/(195/50 - 4). Factor 33*f + 18 + 15*f**3 - 71*f**3 - 19*f**3 - x*f**2.
-(3*f - 2)*(5*f + 3)**2
Let t = 24 - 20. Suppose -8*x**4 + 6*x**4 - 4*x**2 + 8*x**3 - 2*x**t = 0. Calculate x.
0, 1
Factor 1/4*b**4 + 7/4*b**3 + 17/4*b + 3/2 + 17/4*b**2.
(b + 1)**2*(b + 2)*(b + 3)/4
Suppose 3/2*o**3 + 1/2*o**4 + 0*o + o**2 + 0 = 0. Calculate o.
-2, -1, 0
Solve 2/11*x**5 + 28/11*x - 38/11*x**2 + 0 + 14/11*x**4 - 6/11*x**3 = 0 for x.
-7, -2, 0, 1
Let s(m) be the third derivative of m**7/210 + 7*m**6/60 + 6*m**5/5 + 27*m**4/4 + 45*m**3/2 + 14*m**2. Factor s(y).
(y + 3)**3*(y + 5)
Solve -12/11*i**2 - 14/11 + 86/11*i = 0 for i.
1/6, 7
Let x(g) be the second derivative of 0 - 2/21*g**3 - 1/42*g**4 - 11*g + 0*g**2. Factor x(f).
-2*f*(f + 2)/7
Factor 48*g**2 - 66*g - 138*g**2 + 47*g**2 + 0*g - 68 + 45*g**2.
2*(g - 34)*(g + 1)
Let q = 15 + -13. Let z(i) = i**2 + 3*i + 1. Let p be z(-3). Suppose -q*t - p - t**2 + t - t = 0. Calculate t.
-1
Let v(m) be the first derivative of 3/4*m - 5/16*m**2 + 1/24*m**3 - 3. Factor v(o).
(o - 3)*(o - 2)/8
Suppose 0*v - 3*q = -2*v, 0 = -5*q. Suppose v = 3*s - 0*s + 2*o - 14, -5*o + 14 = -3*s. Determine k, given that -3*k**2 + 4*k - 2*k + 6*k + 2*k**3 - 5*k**s = 0.
0, 2
Factor -432*l**2 - 3*l**5 + 28*l**4 - 111*l**3 + 41*l**4 - 193*l**3 - 56*l**3.
-3*l**2*(l - 12)**2*(l + 1)
Let f(h) be the second derivative of -8/9*h**3 - 3*h - 7/12*h**4 - 2/3*h**2 - 3/20*h**5 + 0. Factor f(x).
-(x + 1)*(3*x + 2)**2/3
Let x(z) = -40*z**2 + 81*z**2 - 39*z**2 - 2*z - 2. Let i(t) = t**2 - t. Let q(n) = -i(n) + x(n). Determine a so that q(a) = 0.
-1, 2
Let y = 32 + -12. Factor 15*i**2 - y*i**2 - 10*i**3 + 2 - 5*i**4 - 2.
-5*i**2*(i + 1)**2
Let k(s) be the first derivative of -12 - 1/60*s**5 + 13*s + 1/18*s**4 - 1/18*s**3 + 0*s**2. Let a(u) be the first derivative of k(u). Factor a(q).
-q*(q - 1)**2/3
Suppose 28*a**2 + 517*a - 10*a**3 - 529*a - 10*a**3 + 4*a**4 = 0. Calculate a.
0, 1, 3
Let n(w) be the third derivative of -w**7/630 - w**6/120 + w**4/18 - 169*w**2. Factor n(f).
-f*(f - 1)*(f + 2)**2/3
Let d(f) = 60*f**4 - 515*f**3 - 3180*f**2 + 565*f + 3145. Let k(m) = 5*m**4 - 43*m**3 - 265*m**2 + 47*m + 262. Let y(t) = 2*d(t) - 25*k(t). Solve y(l) = 0.
-4, -1, 1, 13
Let u be ((-3)/6)/(4/((-128)/(-4))). Let m(j) = j + 7. Let v be m(u). Suppose 2/3*a - 2/3*a**v + 0*a**2 + 0 = 0. Calculate a.
-1, 0, 1
Solve -100/3*w + 20/3*w**2 + 0 - 1/3*w**3 = 0 for w.
0, 10
Let w = 65 + -35. Factor 15*c + 22*c - 12*c + w + 5*c**2.
5*(c + 2)*(c + 3)
Let v(t) = 7*t**3 + 4*t**2 - 9*t - 6. Let r(w) = 13*w**3 + 7*w**2 - 17*w - 11. Let x(u) = -u + 6. Let s be x(-5). Let b(o) = s*v(o) - 6*r(o). Factor b(a).
-a*(a - 3)*(a + 1)
Let y = -686 + 688. Let o(r) be the first derivative of -4*r + 0*r**3 + 4/5*r**5 + 4*r**2 - 6 - y*r**4. Suppose o(g) = 0. Calculate g.
-1, 1
Let s(q) = q**2 + 12*q - 38. Let k(x) = -12*x + 39. Let o(d) = 2*k(d) + 3*s(d). Let o(m) = 0. Calculate m.
-6, 2
Let b be (-15)/(-5)*3/3. Factor 7*u**5 + 18*u**3 + u**4 - 16*u**b - 2*u**2 - u + 1 - 8*u**5.
-(u - 1)**3*(u + 1)**2
Let y = 45 + -44. Let c(b) = b**2 + b - 1. Let d(a) = 4*a**3 - 5*a**2 + 7*a - 3. Let g(r) = y*d(r) - 3*c(r). Factor g(v).
4*v*(v - 1)**2
Let v be 266/(-399)*(2/16)/(14/(-72)). Factor 0 + 0*c + v*c**4 + 12/7*c**2 + 12/7*c**3.
3*c**2*(c + 2)**2/7
Let -102/7 + 204/7*s**3 + 114/7*s**4 - 12/7*s**2 - 30*s + 6/7*s**5 = 0. Calculate s.
-17, -1, 1
Let t be (6/(-22))/(-3) - (-4221)/2211. Factor -85/4*u**4 + 0*u + 0*u**t - 45/4*u**5 + 5/2*u**3 + 0.
-5*u**3*(u + 2)*(9*u - 1)/4
Suppose -10*h + 6 = -54. Let z(f) be the third derivative of -1/135*f**5 + 1/108*f**4 + 0*f + 0 + 1/540*f**h + 0*f**3 - 5*f**2. Solve z(q) = 0 for q.
0, 1
Let y(p) be the second derivative of -2*p**6/45 + p**5/10 - p**4/18 + 5*p + 10. Let y(g) = 0. What is g?
0, 1/2, 1
Find k such that 3/5*k**2 - 4/5*k**3 + 2/5*k - 3/5*k**4 + 2/5*k**5 + 0 = 0.
-1, -1/2, 0, 1, 2
Factor -1344*h - 2*h**4 - 927*h**3 + 4*h**4 + 1052*h**2 - 2304 + 1021*h**3.
2*(h - 2)*(h + 1)*(h + 24)**2
Suppose 797 - 67 = 365*r. Factor 9/2*z**4 + 15/2*z**r - 27/2*z**3 + 0 + 0*z + 3/2*z**5.
3*z**2*(z - 1)**2*(z + 5)/2
Let v be (-12 - (-85)/7)*-14*(-6)/8. What is x in 1/2 + 3/2*x + v*x**2 + 1/2*x**3 = 0?
-1
Suppose 3*c = 5*c + 13*c. Let p(b) be the second derivative of c*b**2 + 0*b**3 - 1/4*b**4 + 0 - 3/10*b**5 + b - 1/10*b**6. Suppose p(d) = 0. What is d?
-1, 0
Let g(f) be the first derivative of -4*f**3/3 + 6*f**2 - 18. Factor g(u).
-4*u*(u - 3)
Suppose 10*u + 6 = 4*u. Let y(l) = l. Let z(x) = 2*x**3 - 6*x**2 - 2*x + 8. Let a(r) = -r**2 + 3*r + 2. Let p be a(4). Let i(t) = p*y(t) + u*z(t). Factor i(g).
-2*(g - 2)**2*(g + 1)
Let k(z) be the third derivative of -z**5/42 - z**4/28 + 2*z**3/21 - 144*z**2. Suppose k(a) = 0. Calculate a.
-1, 2/5
Suppose 3*b + c + c = 13, 5*c - 10 = 0. Let j = b - -1. Determine p, given that -5*p + 5*p - 2*p**5 + j*p**4 - p**3 - p**3 = 0.
0, 1
Let w(b) = b**3 - b**2 + b. Let i = -2 + 1. Let l(y) = -9*y**5 - 2*y**4 + 8*y**3 + 3*y**2 - y. Let o(u) = i*l(u) - w(u). Determine n so that o(n) = 0.
-1, -2/9, 0, 1
Let r(c) be the first derivative of -2*c**6/3 + 4*c**5/5 + 14*c**4 + 104*c**3/3 + 38*c**2 + 20*c + 150. What is m in r(m) = 0?
-1, 5
Determine b so that 38*b**2 + 13*b**3 + 25*b**4 - 64*b**3 - 98*b**2 - 85*b**3 - 4*b**3 = 0.
-2/5, 0, 6
Let g be (18/(-7))/((-9)/84). Find y such that -6*y**2 - g + 68*y - 22*y**2 + 24*y = 0.
2/7, 3
Suppose -64/7 - 32*m**2 - 192/7*m - 4/7*m**5 - 128/7*m**3 - 36/7*m**4 = 0. Calculate m.
-2, -1
Let s(x) = -3 + 0*x + 10*x**3 - x**3 - 3*x. Let c(y) = 4 - 9*y**3 - 211*y + y**2 + 0 + 213*y. Let v(q) = 3*c(q) + 4*s(q). Factor v(z).
3*z*(z + 1)*(3*z - 2)
Let p(c) = 5*c**5 + 16*c**4 - 51*c**3 + 30*c**2 + 8*c - 8. Let d(h) = -3*h**5 - 11*h**4 + 34*h**3 - 20*h**2 - 5*h + 5. Let w(g) = 8*d(g) + 5*p(g). Factor w(y).
y**2*(y - 5)*(y - 2)*(y - 1)
Let q(d) be the third derivative of -d**9/20160 - d**8/6720 + d**7/1680 + d**6/240 + d**5/12 - 6*d**2. Let v(m) be the third derivative of q(m). Factor v(n).
-3*(n - 1)*(n + 1)**2
Let a be -14 + (17 - (6 - 5)). Factor 16/9 - 68/9*v - 2*v**a.
-2*(v + 4)*(9*v - 2)/9
Let a(z) be the first derivative of 1 + 6 - 12*z