3*b**2 - 2/13*b**3 + 4/13 - 2/13*b**v + 10/13*b = 0.
-1, 2
Let l(w) be the second derivative of w**4/84 + 39*w**3/14 - 59*w**2/7 + 403*w + 2. Determine y, given that l(y) = 0.
-118, 1
Let i(k) = -1912*k**3 + 2180*k**2 - 236*k + 8. Let p(w) = -w**3 - w**2 - 2*w. Let l(a) = -i(a) - 10*p(a). Factor l(c).
2*(c - 1)*(31*c - 2)**2
Let r(o) be the first derivative of o**6/15 + o**5/5 - 2*o**3/3 - o**2 - 9*o + 3. Let q(h) be the first derivative of r(h). What is f in q(f) = 0?
-1, 1
Let i(s) be the third derivative of -s**6/60 + s**4/4 - 2*s**3/3 + 11*s**2 - 2. Let i(w) = 0. Calculate w.
-2, 1
Let x(k) be the first derivative of k**3/4 + 21*k**2/2 + 147*k - 1. Factor x(z).
3*(z + 14)**2/4
Let g(y) be the first derivative of -4*y**3/3 + 12*y**2 + 64*y + 246. Suppose g(n) = 0. Calculate n.
-2, 8
Let o(r) = r**2 - 3*r + 14. Let l(q) = 3*q**2 - 10*q + 41. Let p(h) = 4*l(h) - 11*o(h). Determine v so that p(v) = 0.
2, 5
Suppose -8*b + 16 = -8. Suppose 0 = -b*k - z, 0 = 3*k - 2*z + 5*z. Suppose 2/9*c**2 + k - 4/9*c = 0. Calculate c.
0, 2
Let g(a) = -a**3 - 2*a**2 - 4*a - 3. Let l be g(-2). Factor -l*h - 2*h**3 + 5*h**3 - 1 + 2*h**3 - 5*h**2 + 6.
5*(h - 1)**2*(h + 1)
Let f(s) = -s**3 + 3*s**2 + 4*s - 6. Let n be f(3). Suppose -2*l**5 + 204 - 8*l**4 - 4*l**3 + n*l - 204 + 8*l**2 = 0. Calculate l.
-3, -1, 0, 1
Let l(b) be the third derivative of 0*b**3 - 38*b**2 + 0 + 0*b + 3/160*b**6 + 0*b**4 - 1/80*b**5. Solve l(y) = 0 for y.
0, 1/3
Suppose -125*u = -129*u + 12. Let m = 2 - 0. Factor -m*k**4 + 4*k**4 + k**4 + 6*k**u.
3*k**3*(k + 2)
What is q in 12*q**4 + 278*q**3 + 52*q**3 + 484*q**2 + 2*q**5 - 8*q**4 + 44*q**4 = 0?
-11, -2, 0
Suppose -2*v + 3*v - 3 = 0. Determine p, given that v*p**4 + 4*p**4 + 8*p**4 + 16*p**2 - 11*p**4 + 16*p**3 = 0.
-2, 0
Determine q so that -8*q**4 - 110/9*q**3 + 0 + 4/3*q - 26/9*q**2 = 0.
-1, -3/4, 0, 2/9
Let a(s) be the third derivative of s**5/90 - 73*s**4/36 - 50*s**3/3 - s**2 - 1. Factor a(p).
2*(p - 75)*(p + 2)/3
Let a be (-8)/60*(-12)/64*4. Let k(r) be the second derivative of 0*r**3 + 0 + a*r**2 - 7*r - 1/60*r**4. Find q, given that k(q) = 0.
-1, 1
Suppose -3*u - u + 36 = 0. Determine x so that 3*x**4 - 3*x + 2*x**5 + 6*x**2 + x**5 - u*x**4 = 0.
-1, 0, 1
Let m(v) be the second derivative of v**4/24 + 19*v**3/6 + 361*v**2/4 - v + 80. Suppose m(d) = 0. Calculate d.
-19
Let l(q) be the third derivative of 0 + 0*q**4 - 12*q**2 + 0*q - 8/35*q**7 + 9/112*q**8 + 0*q**3 + 1/8*q**6 + 1/10*q**5. Factor l(a).
3*a**2*(a - 1)**2*(9*a + 2)
Let t(j) be the third derivative of j**5/630 - j**4/36 + 17*j**2 + j. What is k in t(k) = 0?
0, 7
Suppose -24 = -22*p + 28*p. Let f be 31/(-62) - 2/p. Factor f*g**3 + 3/2*g**4 + 0*g + 0 - 3/2*g**2.
3*g**2*(g - 1)*(g + 1)/2
Let r(c) = -2*c**2 + 38*c - 3. Let w(b) = b**2 - 20*b + 1. Let y(d) = -6*r(d) - 11*w(d). Suppose y(q) = 0. Calculate q.
1, 7
Let n = -5 + -14. Let x = n + 23. Let -i - 8*i**x - 4*i**3 + 10*i**3 + 9*i**2 - 5*i + i**2 - 2 = 0. Calculate i.
-1, -1/4, 1
Let q(y) be the first derivative of -2*y**7/105 - y**6/10 - 2*y**5/15 - 6*y**2 - 4. Let s(u) be the second derivative of q(u). Find l, given that s(l) = 0.
-2, -1, 0
Let u(s) = -s**3 - 3*s**2 - 5*s. Let b(m) = -6*m**2 - 4. Let t(c) = -c**2 + c - 1. Let k(j) = b(j) - 4*t(j). Let n(x) = 6*k(x) - 4*u(x). Factor n(h).
4*h*(h - 1)*(h + 1)
Let s(c) = c - 2. Let z be s(7). Determine t so that z*t**2 - 3*t**2 - 4 + 0*t**2 - 8*t - 6*t**2 = 0.
-1
Solve 2/3*z**2 + 10/3 + 4*z = 0 for z.
-5, -1
Let o(y) be the first derivative of -y**6/15 + 18*y**5/25 - 16*y**4/5 + 112*y**3/15 - 48*y**2/5 + 32*y/5 - 86. What is z in o(z) = 0?
1, 2
Let u = -249 + 252. Let w(t) be the second derivative of 1/24*t**4 - 1/2*t**u + 0 - 3*t + 9/4*t**2. Factor w(v).
(v - 3)**2/2
Suppose 4*s - 5*r - 9 = 3*s, 0 = 5*s - 5*r + 55. Let u = -14 - s. Let -3*a + a**u + 3*a + a = 0. What is a?
-1, 0
Let c(b) be the second derivative of b**6/10 + 3*b**5/10 - b**3 - 3*b**2/2 - 2*b - 33. Factor c(k).
3*(k - 1)*(k + 1)**3
Let f(b) be the third derivative of -b**5/6 + 35*b**4/24 + 10*b**3/3 + 3*b**2 + 13. What is c in f(c) = 0?
-1/2, 4
Let m = -6569 + 13139/2. Factor -1/2*w**5 + w + 5/2*w**2 - m*w**4 + 3/2*w**3 + 0.
-w*(w - 2)*(w + 1)**3/2
Let y(o) = 5*o**4 + 4*o**3 - 51*o**2 - 146*o - 4. Let x(i) = 45*i**4 + 40*i**3 - 460*i**2 - 1315*i - 35. Let c(j) = -4*x(j) + 35*y(j). Factor c(t).
-5*t*(t - 3)*(t + 2)*(t + 5)
Let n = 1329/2 - 663. Let l = 3/52 + 57/26. Factor -3/4*t**2 - l*t - n.
-3*(t + 1)*(t + 2)/4
Let g be 182/(-36) - (2 + 32/(-18)). Let i = g - -11/2. Factor -i - 8/9*f**2 + 8/9*f.
-2*(2*f - 1)**2/9
Factor -5*o**4 - 48*o + 4421*o**3 - 4405*o**3 - 36 + 8*o**2 + o**4.
-4*(o - 3)**2*(o + 1)**2
Let a(f) be the first derivative of -2*f**5/15 + 4*f**4 - 332*f**3/9 + 88*f**2 - 242*f/3 + 10. Factor a(g).
-2*(g - 11)**2*(g - 1)**2/3
Let q = -6440 + 6443. Factor -2/9*l + 2/9 + 2/9*l**q - 2/9*l**2.
2*(l - 1)**2*(l + 1)/9
Suppose 3*l - 18 = -3*f, -f + 0*f = 3*l - 12. Suppose -8*n + 30 = -3*n. Factor 6*z + 3*z**4 + 0*z**4 - n*z**f + 3*z**5 - 3*z**3 - 3*z**2.
3*z*(z - 1)**2*(z + 1)*(z + 2)
Let z(f) be the second derivative of f**4 - 38/21*f**3 + 0 + 12/7*f**2 + 10*f + 2/105*f**6 - 9/35*f**5. Factor z(r).
4*(r - 6)*(r - 1)**3/7
Suppose 3*w = -7 + 19. What is d in 0 + 8*d**2 + 4 - 4*d**3 + w*d**2 - 12*d = 0?
1
Let o(j) be the first derivative of 8/5*j - 2/15*j**3 + 0*j**2 - 14. Factor o(s).
-2*(s - 2)*(s + 2)/5
Let y(o) = 4*o**5 - 4*o**4 - 2*o**3 + 25*o**2 - 3*o + 5. Let w(z) = -2*z**5 + 2*z**4 - 13*z**2 + z - 3. Let v(u) = 10*w(u) + 6*y(u). Factor v(j).
4*j*(j - 1)**3*(j + 2)
Let y(l) = l**3 + l**2 + 3*l + 53. Let v be y(0). Let h = v - 48. Determine p, given that -12/5*p**3 - 2/5*p**h + 0 + 8/5*p**2 + 8/5*p**4 - 2/5*p = 0.
0, 1
Let i(q) be the first derivative of q**3/15 + q**2/10 - 6*q/5 - 85. Solve i(j) = 0.
-3, 2
Solve -100/7 - 54/7*m - 2/7*m**2 = 0 for m.
-25, -2
Let t = -77 - -85. Let l be (52/t)/13 + (-2)/(-2). Solve 3/2*f**2 + 3/2*f**3 - 3/2 - l*f = 0 for f.
-1, 1
Let y be (-429)/(-99) + (-4)/12. Factor 150*v + 375/4 + 135/2*v**2 + 12*v**3 + 3/4*v**y.
3*(v + 1)*(v + 5)**3/4
Let j(f) be the first derivative of f**5/25 + 29*f**4/10 + 841*f**3/15 - 182. Factor j(p).
p**2*(p + 29)**2/5
Let w = -15 - -46/3. Suppose -7*m - 70 = -70. Factor -b**2 - b**3 + m - 1/3*b - w*b**4.
-b*(b + 1)**3/3
Let q(z) = -z**5 - z**4 + z**2 + z. Let f(v) = 4*v**5 + v**4 - 5*v**3 - 7*v**2 - 5*v. Let x(y) = -2*f(y) - 10*q(y). Suppose x(c) = 0. Calculate c.
-2, -1, 0
Solve -400*t - 12*t**3 + 120*t**2 + 2/5*t**4 + 0 = 0 for t.
0, 10
Suppose 4/3*g**2 + 676/3 - 104/3*g = 0. Calculate g.
13
Let n = -11079 + 44319/4. What is j in j**2 - 1/4 - n*j = 0?
-1/4, 1
Let k be 95/76*2/5*20. Suppose 4*c = 5*h - c - k, -h - 3*c = -10. Factor 49/4*z**5 + 235/4*z**3 + 10*z + 145/4*z**2 + 175/4*z**h + 1.
(z + 1)**3*(7*z + 2)**2/4
Let q(r) be the second derivative of r**6/30 - 11*r**5/20 + 19*r**4/6 - 26*r**3/3 + 12*r**2 + r + 54. Solve q(f) = 0 for f.
1, 2, 6
Let a(i) be the first derivative of -i**4/8 - 2*i**3/3 - i**2 + 37. Suppose a(q) = 0. What is q?
-2, 0
Let q(s) be the first derivative of -12*s + 14/3*s**4 + 2/9*s**6 - 10*s**2 + 4 + 28/15*s**5 + 8/9*s**3. Solve q(x) = 0.
-3, -1, 1
Find w such that -138/7*w + 10 + 2/7*w**3 + 66/7*w**2 = 0.
-35, 1
Let c(s) be the second derivative of -s**9/98280 + s**8/43680 + s**7/8190 - 11*s**4/12 + 2*s. Let x(a) be the third derivative of c(a). Factor x(v).
-2*v**2*(v - 2)*(v + 1)/13
Let d = -44 - -46. Factor 2*n**3 - 2*n**2 + 1524*n**4 - d*n + 0*n**3 - 1522*n**4.
2*n*(n - 1)*(n + 1)**2
Let v(x) be the first derivative of -4*x**3/3 + 232*x**2 - 13456*x + 240. Factor v(o).
-4*(o - 58)**2
Let m(u) = -38*u**2 - 162*u + 4. Let t(q) = 10*q**2 + q - 1. Let b(h) = m(h) + 4*t(h). Factor b(f).
2*f*(f - 79)
Let j = -2081/17 + 123. Factor -j*t**3 - 12/17*t - 2*t**2 + 0.
-2*t*(t + 3)*(5*t + 2)/17
Let d(n) be the third derivative of -n**6/72 - n**5/45 + 31*n**4/72 - n**3/3 - n**2 + 15. Determine z so that d(z) = 0.
-3, 1/5, 2
Let v(o) be the second derivative of o**4/12 + 13*o**3/3 - 40*o. Suppose v(h) = 0. Calculate h.
-26, 0
Let j(z) be the third derivative of z**5/60 + z**4/4 - 149*z**2. Determine d, given that j(d) = 0.
-6, 0
Let a be (-3)/(-8) + 1/(-4). Let n = -50700 + 50702. Determine b, given that -1/8