e 12 = -2*j - 0. Let h = j + 8. Factor p**4 + 0*p**4 + p - h*p**4 - 3*p**2 + 3*p**3.
-p*(p - 1)**3
Let f(k) be the second derivative of 7*k**5/40 - k**4/2 - 25*k**3/12 - 3*k**2/2 + 40*k. Factor f(a).
(a - 3)*(a + 1)*(7*a + 2)/2
Factor -81/5*l**3 + 0*l**2 + 0*l + 3/5*l**4 + 0.
3*l**3*(l - 27)/5
Let x(j) be the second derivative of j**7/14 - j**6/2 + 6*j**5/5 - j**4 - 165*j. Factor x(p).
3*p**2*(p - 2)**2*(p - 1)
Let z(f) be the first derivative of 0*f**3 + 3/2*f**4 + 27 + 3*f - 3/5*f**5 - 3*f**2. Let z(q) = 0. What is q?
-1, 1
Let t be 0/(-2) + 35/21 + -1. Let v(p) be the second derivative of 1/2*p**2 + 1/30*p**6 + t*p**3 + 0 + 1/2*p**4 - 6*p + 1/5*p**5. Factor v(j).
(j + 1)**4
Let j(z) = z**2 + 5*z - 9. Let l be j(-8). Let f be 2/4 + l/(-30). Factor -4/11*x - 2/11*x**5 - 18/11*x**3 - 14/11*x**2 - 10/11*x**4 + f.
-2*x*(x + 1)**3*(x + 2)/11
Let z(v) be the second derivative of v**6/10 - 51*v**5/20 + 15*v**4/4 + 17*v**3/2 - 24*v**2 + 38*v. Determine i, given that z(i) = 0.
-1, 1, 16
Let m(w) be the third derivative of -7*w**8/48 + w**7/3 + w**6/40 - w**5/3 - w**4/6 - 271*w**2. Solve m(j) = 0.
-2/7, 0, 1
Suppose -k - y - 20 = 0, k + 73 = -4*k + 4*y. Let j = -12 - k. Factor 55*h**3 + 378*h**4 + 108*h**2 + 272*h**3 + 6*h + 147*h**j + 6*h.
3*h*(h + 1)**2*(7*h + 2)**2
Let l(q) be the first derivative of -28 + 21/8*q**2 - 5/4*q**3 + 3/16*q**4 - 9/4*q. Factor l(f).
3*(f - 3)*(f - 1)**2/4
Let o(k) be the third derivative of 0*k - 1/4*k**4 + 30*k**2 - 10/3*k**3 + 1/30*k**5 + 0. Factor o(i).
2*(i - 5)*(i + 2)
Factor 0 + 5/6*s**4 + 0*s + 5/3*s**2 - 5/2*s**3.
5*s**2*(s - 2)*(s - 1)/6
Let m(s) be the third derivative of s**8/336 - s**7/35 - s**6/60 + s**5/5 + s**4/24 - s**3 - 235*s**2. Let m(u) = 0. What is u?
-1, 1, 6
Let o(n) be the first derivative of -1/7*n**4 + 2/7*n**2 + 12 + 4/7*n**3 - 12/7*n. What is i in o(i) = 0?
-1, 1, 3
Let l(v) be the third derivative of -5*v**6/432 - 7*v**5/144 - 5*v**4/72 + 8*v**3/3 + 5*v**2. Let n(q) be the first derivative of l(q). Let n(z) = 0. What is z?
-1, -2/5
Factor -3/4*f**2 - 60*f - 1200.
-3*(f + 40)**2/4
Let u(q) be the second derivative of -q**5/70 + 2*q**4/21 - 4*q**3/21 + 48*q. Let u(o) = 0. Calculate o.
0, 2
Factor -6/5 - 13/5*i**2 - 41/5*i.
-(i + 3)*(13*i + 2)/5
Suppose -6*l + 1083 + 2559 = 0. Factor -l - 2*v + 607 + 2*v**2.
2*v*(v - 1)
Let s(l) = l**4 - 2*l**3 + l**2 + 28*l + 12. Let x = 15 - 12. Let o(v) = v**4 - 3*v**3 + v**2 + 27*v + 13. Let p(a) = x*s(a) - 4*o(a). Factor p(w).
-(w - 4)**2*(w + 1)**2
Let h(m) be the second derivative of 0 + 1/18*m**6 + 7*m + 35/18*m**4 + 20/9*m**3 + 0*m**2 + 7/12*m**5. Factor h(t).
5*t*(t + 1)*(t + 2)*(t + 4)/3
Let z = 14 - 10. Find q such that -10*q**4 + 25 + 6*q**5 + 26 + z*q**3 - 51 = 0.
0, 2/3, 1
Let d = 2 - 2. Suppose -7*z + 5*z + 8 = d. Factor -5*i**z - 3*i**3 + 6*i - 4*i - 5*i**3 + 2*i**2 - 3*i**2.
-i*(i + 1)**2*(5*i - 2)
Let n(m) be the first derivative of 5*m**3/24 - 7*m**2/8 + 9*m/8 + 54. Factor n(g).
(g - 1)*(5*g - 9)/8
Let f(j) be the third derivative of j**6/120 + 19*j**5/180 + 7*j**4/24 + 5*j**3/18 + 109*j**2. Determine r so that f(r) = 0.
-5, -1, -1/3
Let d(w) be the third derivative of 5*w**8/672 - w**7/21 + w**6/48 + w**5/4 + 3*w**2 + 22*w. Let d(b) = 0. Calculate b.
-1, 0, 2, 3
Let c(k) be the third derivative of -k**8/1512 + k**7/135 - 11*k**6/540 + k**5/54 - k**2 + 33. Factor c(s).
-2*s**2*(s - 5)*(s - 1)**2/9
Let b = 42 - 3. Let f be (b/24)/(4/8). Factor -3*w + 1 - 3/2*w**3 + 1/4*w**4 + f*w**2.
(w - 2)**2*(w - 1)**2/4
Let y = -43939 + 218238/5. Let k = y + 292. Suppose 0 + k*f + 3/5*f**2 = 0. What is f?
-1, 0
Let a = 1639/1114 - -16/557. Factor -9/2 + 9/2*h**2 + a*h - 3/2*h**3.
-3*(h - 3)*(h - 1)*(h + 1)/2
Let k(d) = -7*d**3 + 62*d**2 - 878*d - 2036. Let i(a) = -a**3 + 3*a + 2. Let n(z) = -6*i(z) + k(z). Find f, given that n(f) = 0.
-2, 32
Let x = 15 - 14. Let t = 5 - x. Factor -4*z**t + 2*z**2 - z**2 + z**4 - 2*z**5 + 0*z**2.
-z**2*(z + 1)**2*(2*z - 1)
Let 35 + o**2 - 24*o - 11*o**2 - 57 + 8*o**2 = 0. Calculate o.
-11, -1
Suppose 42 = 63*u - 42*u. Determine h so that -1 - 1/2*h**u + 3/2*h = 0.
1, 2
Let m(f) = -3*f + 4. Let b be m(0). Find i such that -9*i - i**2 + b*i**2 + 3*i**2 + 7*i**3 - 8*i**3 = 0.
0, 3
Let x(q) be the third derivative of -q**6/1380 + 4*q**5/69 - 128*q**4/69 + 2048*q**3/69 + 746*q**2. Let x(d) = 0. What is d?
8, 16
Let q = 9456 + -141838/15. What is l in q*l**2 - 2/5*l - 8/15 = 0?
-1, 4
Let q(i) be the first derivative of -i**7/490 - i**6/70 - i**5/28 - i**4/28 + 3*i**2/2 - 5. Let t(m) be the second derivative of q(m). Factor t(f).
-3*f*(f + 1)**2*(f + 2)/7
Let d(p) be the second derivative of 3*p**5/100 - p**4/5 - 25*p. Determine j so that d(j) = 0.
0, 4
Suppose -4*m = -2*m + 2*r, 0 = 5*m + 4*r - 3. Determine t so that -m*t**3 + 4*t**2 - 5*t + 10*t**3 + t + 2*t**4 = 0.
-2, 0, 1/2
Let 48*i**2 - 392*i - 746 + 507 - 1133 - 83*i**2 - i**3 = 0. What is i?
-14, -7
Let n = -1108 - -1108. Let s(m) be the first derivative of n*m - 2/5*m**5 + 1/3*m**3 + 1/4*m**4 + 0*m**2 + 7. Factor s(o).
-o**2*(o - 1)*(2*o + 1)
Let l(c) = 5*c**3 - 41*c**2 + 67*c - 40. Let f(v) = -24*v**3 + 204*v**2 - 336*v + 198. Let q(g) = 3*f(g) + 14*l(g). Factor q(r).
-2*(r - 17)*(r - 1)**2
Let i be ((-4)/6)/((-13)/((-585)/(-150))). Factor -i + 0*o**3 - 1/5*o**4 + 2/5*o**2 + 0*o.
-(o - 1)**2*(o + 1)**2/5
Factor 31 - 2*g**2 - 62 + 2*g + 43 + 0*g**2.
-2*(g - 3)*(g + 2)
Let b = 283 - 283. Suppose b*v**2 + 0 + 0*v**3 + 1/2*v**5 - 1/2*v**4 + 0*v = 0. What is v?
0, 1
Let o(n) be the third derivative of -5*n**8/336 + 5*n**6/12 + 5*n**5/3 + 25*n**4/8 + 10*n**3/3 - 3*n**2 + 48. Suppose o(f) = 0. Calculate f.
-1, 4
Suppose -w + 19 - 14 = 0. Find s such that -65*s**2 - 14*s**4 - 63*s - s**w - 113*s - 107*s**2 - 64 + 19*s**3 - 92*s**3 = 0.
-4, -1
Let y(x) be the third derivative of x**9/60480 - x**7/1680 - x**6/360 + 13*x**5/20 + 27*x**2. Let b(q) be the third derivative of y(q). Factor b(r).
(r - 2)*(r + 1)**2
Let l(n) = 12*n**2 + 6*n + 4. Let p(k) = 15*k**2 + 4*k + 4. Let a(z) = 6*l(z) - 4*p(z). Factor a(m).
4*(m + 1)*(3*m + 2)
Let q(x) be the second derivative of x**4/12 - 77*x**3/30 + 3*x**2 + 110*x - 1. What is n in q(n) = 0?
2/5, 15
Find i, given that 4*i + 10*i**3 - 2*i**5 + 14*i**4 - 7*i**4 - 12*i**3 - 11*i**2 + 4 = 0.
-1, -1/2, 1, 2
Factor -2/9*v**2 + 16/3*v - 88/9.
-2*(v - 22)*(v - 2)/9
Let v be -1*(-2 + (-6)/6). Suppose 5 = 3*o - 10. Suppose 0 - 2/15*p**v + 2/15*p**o - 2/15*p**4 + 0*p + 2/15*p**2 = 0. Calculate p.
-1, 0, 1
Let r(i) = -i**3 + 6. Let m be r(0). Suppose -m = -2*y - 0*y. Solve -2*k + 5*k**4 - k**2 + 4*k - 3*k**5 + k**y + 3*k**2 - 7*k**2 = 0 for k.
-1, 0, 2/3, 1
Let l be 0*(1/(-5))/((-84)/(-140)). Let z(n) be the second derivative of l + 9*n - 5/4*n**4 + 6*n**2 - 9/20*n**5 + 2*n**3. Let z(c) = 0. What is c?
-2, -2/3, 1
Let u(j) = 3*j**3 + j. Let d(v) = 7*v**3 + 175*v**2 - 326*v. Let w(g) = -d(g) + 4*u(g). Factor w(c).
5*c*(c - 33)*(c - 2)
Let j(x) be the second derivative of x**4/6 - 14*x**3/3 + 68*x - 2. Solve j(a) = 0 for a.
0, 14
Let h(c) = 5*c**2 - 13*c + 9. Let k(v) = 18*v - 47*v - 2*v**2 - 4 + 17*v + 18*v. Let m(d) = -4*h(d) - 9*k(d). Find r, given that m(r) = 0.
-1, 0
Let g(c) = -c**2 + 12*c + 2. Let x be g(11). Let w(q) be the third derivative of 0*q - x*q**2 - 1/72*q**4 + 1/180*q**5 + 0 - 1/9*q**3. Factor w(u).
(u - 2)*(u + 1)/3
Let f(y) = -3*y - 3. Let b be f(4). Let x be (-4)/5 + (-147)/b. Factor -2*u - 6*u + 2*u + u**2 + x.
(u - 3)**2
What is n in 15/2*n**2 - 5/2*n + 5/2*n**3 - 5/2*n**4 - 5 = 0?
-1, 1, 2
Let h(c) = 7*c**4 - 4*c**3 + c**2 + 9*c + 8. Let y(k) = -2*k**4 + k**3 - 2*k - 2. Suppose -9*d - 34 = 20. Let v(f) = d*h(f) - 22*y(f). Factor v(m).
2*(m - 2)*(m + 1)**3
Let u(x) be the third derivative of -x**6/36 + 193*x**5/72 - 245*x**4/3 + 80*x**3 + 165*x**2. Factor u(h).
-5*(h - 24)**2*(4*h - 1)/6
Let u(m) be the first derivative of -18 - 1/15*m**3 + 0*m**4 + 1/25*m**5 + 0*m + 0*m**2. Suppose u(g) = 0. Calculate g.
-1, 0, 1
Let s = 122 + -364/3. Let m(b) be the first derivative of 1/3*b + 1/3*b**3 + 4 + s*b**2. Factor m(z).
(z + 1)*(3*z + 1)/3
Factor 0 + 2/5*n**3 + 56/5*n + 32/5*n**2.
2*n*(n + 2)*(n + 14)/5
Suppose 0 = -r - 4, 58*n - 53*n = -r - 4. Factor -10/3 + n*h - 5/6*h**3 + 5/2*h**2.
-5*(h - 2)**2*(h + 1)/6
Let g(r) be the third deri