2 + 21*c - 1. Let p be f(-21). Factor -1/6*r + p*r**4 + 0 - 1/6*r**5 + 1/3*r**3 + 0*r**2.
-r*(r - 1)**2*(r + 1)**2/6
Let w be 48/(-9) - ((-190)/(-38))/(10/(-12)). Suppose 1/6*s**2 + 1/2 + w*s = 0. Calculate s.
-3, -1
Factor 2/7 + 432*s**3 + 1346/7*s**2 - 108/7*s + 224*s**4.
2*(s + 1)**2*(28*s - 1)**2/7
Find r such that 0 - 1/4*r - 1/8*r**2 = 0.
-2, 0
Let g(j) be the first derivative of 1/2*j**2 + 23 + 1/2*j + 1/6*j**3. Factor g(b).
(b + 1)**2/2
Let q(y) be the second derivative of -1/4*y**2 + 3*y + 1/12*y**3 - 1/40*y**5 + 0 + 1/24*y**4. Solve q(s) = 0.
-1, 1
Let v = -510/97 - -3/388. Let i = -5 - v. What is p in 0*p + 3/4*p**2 - 1/2*p**3 - i = 0?
-1/2, 1
Let i = -1689 + 1692. Find t, given that 2/3*t + 1/3*t**2 + 0 - 2/3*t**i - 1/3*t**4 = 0.
-2, -1, 0, 1
Let w(y) be the third derivative of -y**6/360 + y**5/45 + 19*y**4/72 + 7*y**3/9 - 62*y**2. Solve w(z) = 0 for z.
-2, -1, 7
Suppose -3/7*u**2 - 8/7 - 2*u + 4/7*u**3 + 1/7*u**4 = 0. What is u?
-4, -1, 2
Let i(u) be the second derivative of u**5/5 - 2*u**4 - 32*u**3/3 + 67*u. Determine r, given that i(r) = 0.
-2, 0, 8
Let s(k) be the first derivative of k**4/18 + 32*k**3/27 - 19*k**2/9 - 68*k/9 + 164. Solve s(u) = 0.
-17, -1, 2
Let a(u) be the third derivative of -u**9/52920 - u**8/17640 - u**7/26460 - 9*u**4/4 + 39*u**2. Let k(c) be the second derivative of a(c). Factor k(d).
-2*d**2*(d + 1)*(3*d + 1)/21
Let p(t) be the second derivative of 0 + 1/12*t**2 + t + 1/120*t**5 + 1/24*t**4 + 1/12*t**3. Factor p(q).
(q + 1)**3/6
Let a(k) be the second derivative of k**5/140 + k**4/28 + k**3/21 + 6*k + 2. Factor a(c).
c*(c + 1)*(c + 2)/7
Let p**3 + 17754*p - 2 + 1685*p + 442*p + 2 - 282*p**2 = 0. What is p?
0, 141
Let g be 3*(-1 + 0) - (-7 + 25). Let n be (-30)/(-16)*(-28)/g. Factor -n*j**2 - 1/2*j**3 - 2 - 4*j.
-(j + 1)*(j + 2)**2/2
Let c(m) be the first derivative of 0*m**3 + 1/240*m**5 - 2 + 2*m**2 + 0*m - 1/48*m**4. Let j(i) be the second derivative of c(i). Factor j(x).
x*(x - 2)/4
Let k(c) be the second derivative of -c**7/252 - c**6/180 + c**5/40 + 5*c**4/72 + c**3/18 + c - 36. Factor k(n).
-n*(n - 2)*(n + 1)**3/6
Let l = 9 - 5. Let f(h) = h**2 + 186*h + 7978. Let o be f(-67). Suppose 1/5*t**o + 1/5*t**l - 2/5*t**3 + 1/5*t - 2/5*t**2 + 1/5 = 0. Calculate t.
-1, 1
Let z(c) be the third derivative of -c**5/80 + c**4/4 + 33*c**3/8 - 11*c**2 - 4*c. Determine f, given that z(f) = 0.
-3, 11
Let t(w) = -w**4 - w**3 - 5*w - 1. Let r(h) = -5*h**4 + 19*h**3 - 15*h**2 - 31*h + 16. Let z(g) = r(g) - 2*t(g). What is i in z(i) = 0?
-1, 1, 6
Let f(b) be the first derivative of 9/20*b**4 + 0*b**3 - 24/25*b**5 + 0*b + 1/2*b**6 + 0*b**2 - 13. Factor f(i).
3*i**3*(i - 1)*(5*i - 3)/5
Let u be 6/(-4)*14/21. Let c be ((-14)/(-16) + u)*-6. Factor 0 - c*y**3 + 1/4*y**2 + 1/2*y + 1/4*y**5 - 1/4*y**4.
y*(y - 2)*(y - 1)*(y + 1)**2/4
Let 4*g**2 + 5212*g - g**2 - 5227*g = 0. What is g?
0, 5
Suppose 4*t = -4550 + 4574. Factor -22/3*x - 4/3 - t*x**2.
-2*(x + 1)*(9*x + 2)/3
Let m be (3/(-2 - 1))/(4 - 6). Factor 1/2*i**2 + 1/2*i**3 - 1/2*i - m.
(i - 1)*(i + 1)**2/2
Suppose 0 = 4*g + 50 - 158. Let j be 6/g + (-18)/81 - -4. Factor 6/7*p**2 + 4/7*p**3 + 4/7*p + 1/7*p**j + 1/7.
(p + 1)**4/7
Let i(z) be the third derivative of 1/15*z**5 - 13*z**2 - 2*z**3 - 1/3*z**4 + 0 + 0*z. Suppose i(b) = 0. Calculate b.
-1, 3
Let d(i) be the second derivative of i**7/168 - i**6/60 - i**5/80 + i**4/24 + 37*i + 3. Factor d(u).
u**2*(u - 2)*(u - 1)*(u + 1)/4
Let s be 11/165*-1*(1 + -2). Let d(c) be the third derivative of -4*c**2 + 0*c**4 + 0*c**6 + 0 + 0*c**3 + 0*c - 2/105*c**7 + s*c**5. Factor d(y).
-4*y**2*(y - 1)*(y + 1)
Let p(d) be the third derivative of 0 + 30*d**2 - 9/20*d**5 + 1/70*d**7 + 0*d**6 - 1/2*d**4 + 0*d + 6*d**3. Solve p(h) = 0.
-2, 1, 3
Let v(m) be the first derivative of m**3/2 + 45*m**2/2 - 96*m - 520. Factor v(r).
3*(r - 2)*(r + 32)/2
Let w(c) = c + 54. Let o be w(-19). Suppose -13*p - 6 + 5*p + 12*p**3 - 30*p**2 + o*p - 3*p**3 = 0. Calculate p.
1/3, 1, 2
Let o(j) = -2*j**2 + j. Let b(n) = 6*n**2 + 32*n - 144. Let l(g) = b(g) + 4*o(g). Factor l(u).
-2*(u - 12)*(u - 6)
Let h(s) be the third derivative of 0*s**3 - 1/120*s**6 - 1/70*s**7 + 1/30*s**5 - 22*s**2 + 0*s**4 + 0 + 0*s. Factor h(z).
-z**2*(z + 1)*(3*z - 2)
Let o be (-2 - (-102)/30) + 2*3311/220. Solve -9/2*y**3 + 6*y**4 - 9/2 - o*y**2 - 51/2*y = 0 for y.
-1, -1/4, 3
Let c(t) = 63*t - 252. Let b be c(4). Let o(s) be the third derivative of -s**2 + 0*s**5 - 1/210*s**7 + 0*s**3 - 1/60*s**6 + 0 + b*s + 0*s**4. Solve o(w) = 0.
-2, 0
Let v(c) be the first derivative of -c**6/720 - c**5/120 + c**4/16 + 3*c**3 + 14. Let u(m) be the third derivative of v(m). Factor u(g).
-(g - 1)*(g + 3)/2
Factor -3*x + 15/8*x**2 + 3/8*x**3 - 18.
3*(x - 3)*(x + 4)**2/8
Let w be (-42 + 43)/(-2 - (-11)/5). Suppose -5*q + 28 = -2*c - 4, c = -w*q + 44. Factor -49/2*p**2 - 28*p - q.
-(7*p + 4)**2/2
Solve -39/2*y**4 + y + 19*y**3 + 7*y**5 - 15/2*y**2 + 0 = 0.
0, 2/7, 1/2, 1
Suppose -2*y + 56 = -3*z, 3*z - 3*y + 54 = -0*z. Let m = -18 - z. Factor 9*o**m - 4*o**3 + 257*o - 263*o + o**3.
-3*o*(o - 2)*(o - 1)
Let y be (10 - 8) + (-1)/(-1). Let v(q) be the second derivative of 0*q**2 + 1/42*q**4 + 5*q + 0 - 1/21*q**y. Factor v(j).
2*j*(j - 1)/7
Let w(z) = 8*z**4 - 16*z**3 + 16*z**2 - 2*z + 2. Let i(u) = u**5 + 7*u**4 - 15*u**3 + 17*u**2 - u + 3. Let g(a) = -4*i(a) + 6*w(a). Factor g(t).
-4*t*(t - 2)*(t - 1)**3
Let x be -4 + 3*(-1)/(15/(-10)). Let j be 400/180 - x/(1 - 2). Factor -j*z**2 - 2 + 4/3*z.
-2*(z - 3)**2/9
Let s(x) = x**3 - 22*x**2 - 21*x - 42. Let g be s(23). Let 245*i**4 - 7*i**3 - 263*i**g + 3*i**3 = 0. Calculate i.
-2/9, 0
Let t = 102 + -56. Let x = -42 + t. Factor -2/3*v**x + 0*v**2 + 0*v + 0 + 1/3*v**5 + 1/3*v**3.
v**3*(v - 1)**2/3
Let j(z) = 3*z + 41. Let w be j(-13). Let r**w + 3 - 4*r - 1 + 2 - 1 = 0. What is r?
1, 3
Determine b so that 16*b**3 - 6*b**2 + 25*b - 11*b**4 + 12*b**4 + 30*b**2 + 400 - 345*b = 0.
-10, 2
Let t be -18 - 3060/(-171) - (-409)/95. Factor -t*r**2 - 27/5 + 9*r + 3/5*r**3.
3*(r - 3)**2*(r - 1)/5
Suppose -253 = -23*t - 0*t. Let r(k) be the first derivative of 3*k**2 + t*k**3 + 0*k + 4 + 12*k**4 + 21/5*k**5. Factor r(l).
3*l*(l + 1)**2*(7*l + 2)
Solve 0*s**3 - 9*s**3 - 86 - 531*s - 114 - 330*s**2 + 36 - 46 = 0 for s.
-35, -1, -2/3
Let v(t) be the first derivative of 2/9*t**3 + 1/90*t**5 - 5/2*t**2 - 1/12*t**4 + 0*t - 3. Let c(r) be the second derivative of v(r). Factor c(n).
2*(n - 2)*(n - 1)/3
Let o(j) = 11*j**3 + 3*j**2 - 34*j + 30. Let q(x) = -9*x**3 - 2*x**2 + 33*x - 30. Let d(n) = -4*o(n) - 5*q(n). Solve d(u) = 0 for u.
-5, 1, 6
Let w(l) be the first derivative of -3*l**4/2 + 16*l**3/3 - 10*l**2 + 12*l + 6. Let x(m) = -m**3 + m**2 + m - 1. Let h(z) = w(z) - 4*x(z). Factor h(c).
-2*(c - 2)**3
Let t(f) = 4*f**3 - f**2 - 8*f + 8. Let y be t(2). Let v(k) = -3*k + 62. Let z be v(y). Factor -2/7 - 2/7*n + 2/7*n**z + 2/7*n**3.
2*(n - 1)*(n + 1)**2/7
Let l be 1/3*(2 - -85). Let k = l - 25. Factor k*q**3 + q**5 - 6*q**4 + 2*q**4 + q**5 - q**5.
q**3*(q - 2)**2
Factor -2/3*k**3 - 16/3 - 34/3*k - 20/3*k**2.
-2*(k + 1)**2*(k + 8)/3
Let f(p) be the third derivative of 31*p**2 - 1/120*p**5 + 0 + 2/3*p**3 - 1/24*p**4 + 0*p. Factor f(o).
-(o - 2)*(o + 4)/2
Let w(o) = 9*o**2 + 2*o - 2. Let q(u) = -39*u**2 - 6*u + 9. Let m(x) = 2*q(x) + 9*w(x). Determine g, given that m(g) = 0.
-2, 0
Let o be 108/11 - -2*1/11. Let y be ((o/(-8))/5)/((-1)/8). Factor 0 + 6/11*n**4 + 4/11*n**y + 10/11*n**3 + 0*n.
2*n**2*(n + 1)*(3*n + 2)/11
Suppose 179*o - 348*o + 20 + 175*o - 2*o**2 = 0. Calculate o.
-2, 5
Let w(h) be the second derivative of -h**7/13860 + h**6/792 - 11*h**4/6 - 3*h. Let u(q) be the third derivative of w(q). Factor u(c).
-2*c*(c - 5)/11
Let l(r) be the second derivative of -r**7/21 + 2*r**6/5 - 11*r**5/10 + r**4 - 22*r. Determine t, given that l(t) = 0.
0, 1, 2, 3
Let c = -4034/155 + -210/31. Let m = c + 34. Factor -m*d**2 - 13/5*d**3 + 8/5 + 4*d + d**4.
(d - 2)**2*(d + 1)*(5*d + 2)/5
Suppose 5*s = -0*s - 1830. Let p = s - -2572/7. Solve -2*m + 4/7 + p*m**2 = 0.
2/5, 1
Suppose -3*k = -10*k + 28. Factor k*f**3 - 2*f - f**3 - f - 27 + 12*f + 15*f**2.
3*(f - 1)*(f + 3)**2
Suppose -23 = -p - 1. Suppose 4*r - p = -3*t, 2*t - 10 - 6 = -3*r. Suppose -r*y**3 + 4*y + 13*y - 13*y = 0. What is 