*s**4 - 167*s**3 + 810*s**2 - 13. Let l(k) = k**4 + 84*k**3 - 405*k**2 + 6. Let j(h) = -6*i(h) - 13*l(h). Solve j(a) = 0.
0, 9
Let y(z) be the second derivative of 2*z**7/63 + 2*z**6/5 - 11*z**5/5 + 35*z**4/9 - 8*z**3/3 - 29*z - 3. Factor y(l).
4*l*(l - 1)**3*(l + 12)/3
Let h = 5/5522 + 5487/38654. Suppose -1/7*y + 1/7 + 1/7*y**3 - h*y**2 = 0. What is y?
-1, 1
Let o(c) = 70*c**2 + 115*c - 185. Let w(q) = 3*q**2 + 2*q + 1. Let d(y) = -o(y) + 25*w(y). Suppose d(n) = 0. Calculate n.
6, 7
Factor -1/2*y**3 - 8*y - 6 - 7/2*y**2.
-(y + 2)**2*(y + 3)/2
Suppose 16*r - 12*r + 946 = 5*b, -4*r + 4*b - 944 = 0. Let j = r + 703/3. Determine y, given that j*y - 1/3*y**3 + 1/9*y**2 + 1/9*y**4 - 2/9 = 0.
-1, 1, 2
Suppose 0 = r + 5*g - 27, 5*g = 7*g - 10. Let l(h) be the first derivative of 0*h**r - 5/3*h**3 + 5*h - 1. Suppose l(o) = 0. What is o?
-1, 1
Factor 511*c**2 + 1038*c**2 + 132*c**4 + 3*c**5 + 1223*c**2 + 1323*c + 1578*c**3.
3*c*(c + 1)**2*(c + 21)**2
Let b(v) be the second derivative of 0*v**2 - 2*v - 1/16*v**4 + 0*v**3 + 0 + 1/16*v**5. What is l in b(l) = 0?
0, 3/5
Let f(d) = -15*d**2 + 105*d - 205. Let q(r) = 8*r**2 - 53*r + 102. Let t(g) = -3*f(g) - 5*q(g). Factor t(m).
5*(m - 7)*(m - 3)
Let w(u) be the first derivative of 2*u**3/15 + 14*u**2 + 490*u + 35. Suppose w(f) = 0. Calculate f.
-35
Let m be (-30)/(-8) + (-10)/(-40). Suppose m*y - 7 = 1. Factor -y*f + 3*f**3 - f**3 + f**4 - 14*f**2 + 14*f**2 - 1.
(f - 1)*(f + 1)**3
Let j(b) be the first derivative of 8*b**6/3 - 268*b**5/5 + 360*b**4 - 2728*b**3/3 + 1064*b**2 - 588*b - 1010. Find a, given that j(a) = 0.
3/4, 1, 7
Suppose 4*r - r = -3*v + 516, 3*v = -4*r + 692. Let q = 1586/9 - r. Let 0 + q*n - 8/9*n**2 = 0. What is n?
0, 1/4
Let n(r) be the third derivative of -2*r**7/735 + r**6/210 + r**5/105 - r**4/42 + 3*r**2 - 6. Solve n(m) = 0 for m.
-1, 0, 1
Suppose 35*u - 39*u + 12 = 0. Factor -45*m - 30*m**4 - 49*m**2 + 4 - 9 - 5*m**5 - 70*m**u - 5 - 31*m**2.
-5*(m + 1)**4*(m + 2)
Determine i, given that 220*i**2 - 12*i**5 + 666*i - 120 + 8*i**5 - 1027*i**2 - 8*i**5 + 124*i**3 + 27*i**4 + 122*i**3 = 0.
-5, 1/4, 1, 2, 4
Let s(l) be the third derivative of l**5/20 + 6*l**4 + 47*l**3/2 + 13*l**2 - 5. Factor s(o).
3*(o + 1)*(o + 47)
Suppose -2*j - 2422 = -5*v - 2425, -2*j + 24 = 2*v. Let 33/7*r**v + 3/7*r**4 - 33/7*r - 3/7*r**2 + 0 = 0. Calculate r.
-11, -1, 0, 1
Let q(t) be the first derivative of t**4/4 - 2*t**3 - 7*t**2/2 + 3*t + 2. Let o be q(7). Factor o*k**2 - k + 0*k + k - 6*k.
3*k*(k - 2)
Factor 603*m - 1 - 29*m**2 - 298*m - 299*m + 1 + 9*m**3.
m*(m - 3)*(9*m - 2)
Let n = -754 + 762. Let k(d) be the first derivative of n + 16/3*d + 1/9*d**3 + 4/3*d**2. Factor k(s).
(s + 4)**2/3
Let s = 9278/725 - -2/725. Factor 28/5*m**5 + 0 + 0*m**2 + 16/5*m**3 + s*m**4 + 0*m.
4*m**3*(m + 2)*(7*m + 2)/5
Let n(z) be the third derivative of -z**8/1680 - z**7/70 - 3*z**6/20 - 9*z**5/10 - 11*z**4/24 - 5*z**2. Let j(o) be the second derivative of n(o). Factor j(x).
-4*(x + 3)**3
Let q(i) be the third derivative of -i**7/210 + i**6/12 + 11*i**5/60 - 44*i**2. Solve q(o) = 0.
-1, 0, 11
Let q(i) be the third derivative of i**8/10080 - i**7/315 + 2*i**6/45 - 3*i**5/10 - 32*i**2. Let g(z) be the third derivative of q(z). Factor g(n).
2*(n - 4)**2
Let k(t) be the second derivative of -t**5/80 - t**4/16 - t**3/12 - 65*t + 2. Suppose k(o) = 0. Calculate o.
-2, -1, 0
Let t(p) be the first derivative of -1/20*p**5 + 1/6*p**3 + 0*p - 16 + 0*p**2 + 1/16*p**4. Solve t(y) = 0 for y.
-1, 0, 2
Let l(c) be the first derivative of 3 + 0*c**3 - 3/16*c**4 + 0*c + 3/8*c**2. Suppose l(r) = 0. Calculate r.
-1, 0, 1
Suppose 5*q - 17 = -12. Let a be 3/7 + q*(-3)/7. Factor 0*r**2 - 1/7*r**3 + 0*r**4 + a*r + 0 + 1/7*r**5.
r**3*(r - 1)*(r + 1)/7
Let q(f) be the first derivative of 0*f**2 + 0*f + 5 + 5*f**4 + 5/6*f**6 + 4*f**5 + 0*f**3. Let q(b) = 0. Calculate b.
-2, 0
Let -3*i**2 + 4*i + 11 - 15 + i**2 + i**2 = 0. What is i?
2
Suppose -2*i - 93 = 5*m - 81, 28 = 2*i - 5*m. Find l, given that 0*l + 2/3*l**5 + 0*l**i + 0 - 2/3*l**3 + 0*l**2 = 0.
-1, 0, 1
Let x = 370/3 - 122. Let t be 60/(-108)*336/(-70). Factor x - t*c**2 + 14/3*c.
-2*(c - 2)*(4*c + 1)/3
Let j be ((-39)/(-26))/((-1)/(-7)). What is d in 18 + 3/2*d**2 + j*d = 0?
-4, -3
Let y(s) be the second derivative of -12*s + 115/18*s**3 + 25/3*s**2 - 25/36*s**4 + 0. Factor y(u).
-5*(u - 5)*(5*u + 2)/3
Let g(w) be the first derivative of 7*w**5 - 3*w**4 - 4*w**3/3 - 27*w - 24. Let p(a) be the first derivative of g(a). Suppose p(h) = 0. What is h?
-1/7, 0, 2/5
Let n(i) be the third derivative of -2*i**8/63 - 152*i**7/315 + 119*i**6/180 + 407*i**5/90 + 43*i**4/9 + 20*i**3/9 + 62*i**2 - i. Solve n(r) = 0.
-10, -1, -1/4, 2
Let t = 859 - 856. Let s(f) be the second derivative of 0*f**t + 2/9*f**4 + 0*f**5 + 0*f**2 - 6*f + 0 - 1/45*f**6. Factor s(w).
-2*w**2*(w - 2)*(w + 2)/3
Let l(z) = -2*z**3 + 14*z**2 + 8*z - 4. Let u(f) = -f**3 - f**2 - 2*f - 4. Let d(r) = l(r) + 2*u(r). Let d(v) = 0. What is v?
-1, 1, 3
Factor -24*n - 64/3 - 2/3*n**3 - 8*n**2.
-2*(n + 2)**2*(n + 8)/3
Factor 4/3*m - 2 - 2/9*m**2.
-2*(m - 3)**2/9
Suppose 6*x = -9*v + 12*v + 2*x, -4*v = -4*x. Factor 0 + 2/9*g**2 + 1/9*g**3 + v*g.
g**2*(g + 2)/9
Find f, given that -2/9*f**2 - 26/3*f - 148/9 = 0.
-37, -2
Let x be (-2 - 1/1) + 7. Factor -4*k**2 - 8*k**2 + 19*k**2 - 12*k**3 - 4*k**x - 15*k**2.
-4*k**2*(k + 1)*(k + 2)
Let w(v) be the second derivative of v**7/42 + v**6/15 - v**4/6 - v**3/6 + v - 20. Solve w(g) = 0.
-1, 0, 1
Let v be (-32)/24*-1*3/6. Let t(p) be the second derivative of -1/6*p**4 + 0 + 5/9*p**3 + 5*p + v*p**2. Determine z, given that t(z) = 0.
-1/3, 2
Let s(p) be the second derivative of 2*p**2 + 0 - 14*p - 4/3*p**3 + 1/3*p**4. Find h, given that s(h) = 0.
1
Let c(z) = -7*z**3 - 22*z**2 - 4*z - 4. Suppose -13*g = -10*g + 27. Let w(b) = 15*b**3 + 45*b**2 + 9*b + 9. Let h(v) = g*c(v) - 4*w(v). Factor h(p).
3*p**2*(p + 6)
Let i(b) = b + 8. Let u be i(-4). Let h be (2 - 3) + 21 + u. Determine g so that -5*g + 15*g**2 - h*g - 4*g**3 + g**2 + 13*g = 0.
0, 2
Let d = -3327/2 + 1772. Let v = -108 + d. Determine y, given that -3/4*y + 1/4*y**2 + v = 0.
1, 2
Let j be 93/(-5) - (-6)/10. Let y be (j/27)/((-4)/6). Factor 8*t**3 - 24*t**2 + 1 + 32*t - y - 16 - t**4.
-(t - 2)**4
Let p(g) = -3*g**5 + g**4 + 4*g**3 - 16*g**2 - 20*g + 4. Let u(j) = j**5 + j**4 - j**3 - j**2 + j - 1. Let m(x) = 5*p(x) + 20*u(x). Solve m(c) = 0.
-4, -2, -1, 0, 2
Let m(b) = b**3 - b**2 - 1. Let i(c) be the first derivative of 9/4*c**4 + 7/3*c**3 - 3 + 3*c + 0*c**2. Let d(n) = -i(n) - 3*m(n). Factor d(j).
-4*j**2*(3*j + 1)
Let j(u) = -2*u**2 - 69*u + 36. Let m(o) = 9*o**2 + 276*o - 144. Let d(b) = 15*j(b) + 4*m(b). Factor d(x).
3*(x + 12)*(2*x - 1)
Let f(a) = 8*a**4 + 15*a**3 - 24*a**2 - 43*a - 3. Let i(t) = 65*t**4 + 120*t**3 - 190*t**2 - 345*t - 25. Let v(s) = 25*f(s) - 3*i(s). Solve v(r) = 0.
-4, -1, 0, 2
Suppose -11*w + 7*w = j - 17, 5*w = -3*j + 30. Factor -6*p + 3/2*p**2 + 3/2*p**w - 6.
3*(p - 2)*(p + 1)*(p + 2)/2
Let l(c) be the first derivative of 0*c**3 + 1/360*c**5 + 0*c + 5 + 0*c**4 + 7/2*c**2. Let a(w) be the second derivative of l(w). Factor a(z).
z**2/6
Let o(c) = 4*c**2 - 8*c - 6. Let l(b) = -8*b**2 + 16*b + 10. Let k(v) = -3*l(v) - 5*o(v). Factor k(a).
4*a*(a - 2)
Let w = 106 - 78. Let h be (30/w + 4/(-7))*0. Solve 9/5*v**2 - 12/5 - 3/5*v**3 + h*v = 0.
-1, 2
Let r(w) = w**3 - 28*w**2 - 61*w + 37. Let k be r(30). Let u be (-38)/(-399) - (-4)/k. Factor -4/3*l**3 + 0 + 0*l**2 + 0*l**4 + u*l + 2/3*l**5.
2*l*(l - 1)**2*(l + 1)**2/3
Let m(v) be the third derivative of 0 + 2/5*v**3 + 0*v + 5*v**2 - 1/40*v**4 - 3/100*v**5. Solve m(w) = 0 for w.
-4/3, 1
Let q(w) be the third derivative of 0 - 49/2*w**3 - 1/40*w**6 - 63/8*w**4 - 16*w**2 + 0*w - 3/4*w**5. Let q(x) = 0. Calculate x.
-7, -1
Let a be 7 - (2 + 276/60). Factor -1/5*k**2 + a - 1/5*k.
-(k - 1)*(k + 2)/5
Let k(n) be the third derivative of -3/2*n**3 + 1/20*n**5 - 1/4*n**4 + 0 + 44*n**2 + 0*n. Factor k(i).
3*(i - 3)*(i + 1)
Let s(g) = 32*g**2 - 61*g + 5. Suppose -5*t + 1 + 9 = 0. Let n(r) = 16*r + 20*r - 16*r**t - 6*r - 3. Let l(u) = 13*n(u) + 6*s(u). Factor l(c).
-(4*c - 3)**2
Let y(j) = 2*j**3 - j**2 + j - 2. Let s(f) = 18*f**3 + 116*f**2 - 2636*f + 18502. Let o(i) = 2*s(i) - 20*y(i). Factor 