 5 - 2*j**2 + 57*j - 1 = 0.
2
Let t(c) = -2*c**4 - 8*c**3 + 4*c**2 - 2*c. Let j(a) = -24*a**3 - 15*a + 0*a + 19*a**2 + 4*a - 15*a**3 - 9*a**4. Let v(k) = 2*j(k) - 11*t(k). Factor v(d).
2*d**2*(d + 3)*(2*d - 1)
Find i, given that 25/2 + 45/4*i + 1/4*i**3 + 3*i**2 = 0.
-5, -2
Let h(a) be the first derivative of 4/3*a - 2/9*a**3 - 3 - 1/3*a**2. Factor h(j).
-2*(j - 1)*(j + 2)/3
Let h(f) be the second derivative of -49*f**4 + 343/10*f**5 + 28*f**3 - 8*f**2 + 0 - 12*f. Let h(s) = 0. Calculate s.
2/7
Let o(d) = -6*d**2 - 6*d + 7. Let t(b) = 5*b**2 + 5*b - 6. Let k = -10 - -16. Let h(x) = k*o(x) + 7*t(x). Factor h(a).
-a*(a + 1)
Let j = 4558/5 + -86562/95. Find a such that j*a**2 + 4/19*a**3 - 2/19*a**4 - 4/19*a - 6/19 = 0.
-1, 1, 3
Suppose -o - 3*o = -8. Suppose 0*f - o*f = 4*x + 12, 0 = f + 3*x + 9. Determine b, given that 0*b + 0*b**2 - 2/5*b**3 + f - 2/5*b**5 - 4/5*b**4 = 0.
-1, 0
Suppose 0 = -4*c + 2*n + 44, c = -3*c - 5*n + 44. Let y(w) = -w**3 - 5*w**2 - w. Let x be y(-5). Factor 9 + x*s - c + s**2 - 4*s.
(s - 1)*(s + 2)
Let m(u) be the second derivative of 0 + 3/2*u**2 - 1/8*u**4 + 7*u + 1/4*u**3. Factor m(b).
-3*(b - 2)*(b + 1)/2
Let o(t) be the first derivative of -7 + 3*t + 1/3*t**3 - 2*t**2. Factor o(c).
(c - 3)*(c - 1)
Suppose -d + 2*l - 1 + 7 = 0, -2*l = d - 2. Let y(c) be the first derivative of -3*c**2 - d + 8/3*c**3 - 2*c. Let y(t) = 0. Calculate t.
-1/4, 1
Suppose 6*z = 4*z. Let d = z + 2. Solve 0 + 4/9*i - 2/3*i**d = 0 for i.
0, 2/3
Suppose -3*c + c = -5*q + 9, 2*q - 6 = 0. Factor 4*o - 10*o**2 - o**c - 2 + 12*o - 6 + 3*o**3.
2*(o - 2)**2*(o - 1)
Let v(z) = 2*z - 11. Let k be v(7). Let a(j) be the second derivative of 1/50*j**5 + 1/5*j**k + 0 - 1/10*j**4 - 1/5*j**2 - 2*j. Factor a(h).
2*(h - 1)**3/5
Let i(f) be the first derivative of -2*f**3/39 - 7*f**2/13 - 12*f/13 - 75. Let i(d) = 0. Calculate d.
-6, -1
Suppose 2987*g**2 - 220*g**3 + 160*g - 2837*g**2 + 60*g**3 - g**4 + 6*g**4 - 155 = 0. What is g?
-1, 1, 31
Let i(v) be the third derivative of -v**6/540 + 2*v**5/15 - 35*v**4/108 - v**2 + 262. Let i(k) = 0. What is k?
0, 1, 35
Let w = -2/387 + 391/774. Find l, given that -w - 1/2*l + 13/2*l**3 + 3*l**4 + 7/2*l**2 = 0.
-1, -1/2, 1/3
Let g(r) be the third derivative of -r**5/80 - 5*r**4/32 - 3*r**3/4 + 10*r**2 - 2. Factor g(j).
-3*(j + 2)*(j + 3)/4
Let o(w) be the first derivative of -4*w**2 + 4/3*w**3 + 0*w - 5. Let o(x) = 0. Calculate x.
0, 2
Let c(m) be the second derivative of -m**4/3 - 166*m**3/3 - 164*m**2 + 21*m - 10. Factor c(b).
-4*(b + 1)*(b + 82)
Let u(y) be the first derivative of -y**2 - 1/6*y**4 - 11 + 5*y - 5/6*y**3. Let x(j) be the first derivative of u(j). Find w, given that x(w) = 0.
-2, -1/2
Let z(c) be the first derivative of -c**4/54 - c**3/27 + 10*c - 18. Let y(u) be the first derivative of z(u). Factor y(q).
-2*q*(q + 1)/9
Let r(b) be the third derivative of 1/180*b**5 + 1/36*b**4 + 0 + 0*b**3 - 5*b**2 + 0*b. Let r(i) = 0. Calculate i.
-2, 0
Determine y so that 36*y**2 + 6 + 7*y**2 - 15*y**2 + 293*y - 70 - 77*y = 0.
-8, 2/7
Let k be 32/(-40) + 72/(-10). Let z(b) = b + 13. Let d be z(k). Factor 4*g**d + 10*g**2 + 2*g + 14*g**4 + 43*g**3 + 0*g**5 - 25*g**3.
2*g*(g + 1)**3*(2*g + 1)
Let l(w) be the first derivative of -2*w**6/45 + 2*w**5/25 + 2*w**4/15 - 2*w**3/15 - 2*w**2/15 + 54. Solve l(z) = 0 for z.
-1, -1/2, 0, 1, 2
Let f(h) be the second derivative of -h**7/273 + 7*h**6/195 + 3*h**5/130 - 23*h**4/78 + 14*h**3/39 + 317*h. What is z in f(z) = 0?
-2, 0, 1, 7
Let f(k) be the first derivative of -k**6/30 - 2*k**5/5 + 64*k**3/3 + 19*k**2/2 + 3. Let t(d) be the second derivative of f(d). Factor t(b).
-4*(b - 2)*(b + 4)**2
Suppose 1267*q = 1272*q - 40, -3*p - 24 = -3*q. Determine j so that -4/5*j**3 + 0*j + 1/5*j**4 + p + 3/5*j**2 = 0.
0, 1, 3
Let u(m) = 2*m - 6. Let d be u(5). Factor -4*l**4 + 3*l**5 - 5*l**3 - 4*l**d + 2*l**3 + 3*l**2 + 5*l**4.
3*l**2*(l - 1)**2*(l + 1)
Let m(f) be the third derivative of f**6/300 + f**5/50 - 4*f**3/15 - 63*f**2. Factor m(j).
2*(j - 1)*(j + 2)**2/5
Let k be -6 - (-37)/(1110/252). Factor k*r + 3/5*r**2 + 9/5.
3*(r + 1)*(r + 3)/5
Let c(j) be the third derivative of -j**5/15 + 7*j**4/6 + 12*j**3 - j**2 + 16. Factor c(u).
-4*(u - 9)*(u + 2)
Let x(c) = -69*c**2 - 900*c - 36. Let d be x(-13). Factor -8/19*r + 16/19 - 12/19*r**2 + 10/19*r**d - 2/19*r**4.
-2*(r - 2)**3*(r + 1)/19
Let c(d) be the first derivative of 5*d**3/3 - 180*d**2 + 6480*d - 118. Find x such that c(x) = 0.
36
Let u be 74/(-3) + (-6)/(-36). Let y = -24 - u. Factor -1/2 - y*p**4 - 2*p - 3*p**2 - 2*p**3.
-(p + 1)**4/2
Let o(u) be the third derivative of u**5/20 - 4*u**4/3 - 11*u**3/6 - 93*u**2 + 2. Factor o(a).
(a - 11)*(3*a + 1)
Let y(v) = 5*v**4 - 4*v**3 - 3*v**2 - v - 1. Let a(u) = -8*u**4 + 8*u**3 + 7*u**2 + 3*u + 2. Let l(q) = 6*a(q) + 10*y(q). Factor l(m).
2*(m + 1)**4
Let j(v) be the third derivative of 2*v**8/21 + 2*v**7/21 - 43*v**6/30 + 13*v**5/5 - 3*v**4/2 - 7*v**2 - 2*v. Determine k, given that j(k) = 0.
-3, 0, 3/8, 1
Let l = 50 - 47. Let f(m) be the third derivative of 0*m + 1/60*m**6 + 0*m**3 - l*m**2 + 0 + 0*m**5 - 1/12*m**4. Factor f(q).
2*q*(q - 1)*(q + 1)
Let n(v) be the third derivative of v**5/40 - 19*v**4/8 - 2*v**2 + 101*v. Determine x, given that n(x) = 0.
0, 38
Let t(y) be the first derivative of -4*y**3/3 - 168*y**2 - 7056*y + 186. Factor t(z).
-4*(z + 42)**2
Factor -52/3*d**2 + 0 + 0*d - 8*d**3 + 1/3*d**4.
d**2*(d - 26)*(d + 2)/3
Let -6*i**2 + 33*i**3 - 15*i**2 - 39*i**2 + 15*i - 3*i**2 - 3*i**4 + 150 - 36*i**2 = 0. What is i?
-1, 2, 5
Let b(l) = 6*l - 69. Let n be b(14). Let a = n - 103/7. What is j in -1/7*j**3 + a*j**2 + 0 + 0*j - 2/7*j**4 + 1/7*j**5 = 0?
-1, 0, 1, 2
Let r = -398143/21420 + 316/17. Let a(x) be the third derivative of 0*x + 0 + 0*x**4 + 0*x**5 + 6*x**2 + 0*x**3 + r*x**7 + 0*x**6. What is z in a(z) = 0?
0
Let l(i) be the third derivative of i**6/1020 + i**5/102 - i**4/51 - 20*i**3/51 + 14*i**2 - 4*i. Factor l(f).
2*(f - 2)*(f + 2)*(f + 5)/17
Let s(k) = -3*k**3 - 8*k**2 + 11*k + 24. Let i(y) = 10*y**3 + 24*y**2 - 32*y - 68. Let r(b) = -4*i(b) - 11*s(b). Factor r(w).
-(w - 1)*(w + 1)*(7*w + 8)
Find m such that -2/9*m**5 + 34/9*m**2 + 0 + 10/3*m**3 + 4/3*m + 2/3*m**4 = 0.
-1, 0, 6
Let p be ((-18)/945)/((-12)/6). Let y(w) be the third derivative of 0 + p*w**7 + 0*w**5 - 8*w**2 + 1/60*w**6 + 0*w + 0*w**3 + 0*w**4. What is j in y(j) = 0?
-1, 0
Let x(w) be the second derivative of 0*w**4 + 3/5*w**5 + 0 + 3*w + 2/15*w**6 - 8/3*w**3 + 0*w**2. Solve x(q) = 0 for q.
-2, 0, 1
Let r(l) be the third derivative of 1/105*l**5 + 0 + 35*l**2 + 1/21*l**4 + 0*l - 16/21*l**3. Suppose r(j) = 0. Calculate j.
-4, 2
Factor 5/3*q**4 + 80/3*q**3 + 385/3*q**2 + 0 + 490/3*q.
5*q*(q + 2)*(q + 7)**2/3
Suppose -40/19 - 8/19*s**2 + 162/19*s = 0. What is s?
1/4, 20
Suppose 0 = -0*r - 2*r. Let p(o) = -10*o**2 - 622*o + 507. Let t be p(-63). Factor 0*v**2 - 2/11*v**t - 4/11*v**4 + 0*v - 2/11*v**5 + r.
-2*v**3*(v + 1)**2/11
Suppose -9 = -v - 2*v. Factor 84*j**2 + 1 - 29*j + 10 + 12*j**v + 7 + 104*j.
3*(j + 6)*(2*j + 1)**2
Factor 1/3*i**2 - 53/3 + 52/3*i.
(i - 1)*(i + 53)/3
Let c(b) = b**3 - 42*b**2 - b + 45. Let p be c(42). Let h = 16525/8 - 2063. Suppose -3/4*y**p - 3/2*y - h*y**2 + 3/2 = 0. Calculate y.
-2, 1/2
Let r(c) = c**3 + c - 1. Let d(o) = 11*o - 6*o - o**2 - 8*o**2 + o**2 - 5 + o**3. Let n(z) = -d(z) + 5*r(z). Factor n(x).
4*x**2*(x + 2)
Let p(a) = -3*a**2 - 8*a. Suppose -2*z = -2*d + 5*d + 2, 2*z = 3*d + 22. Let m(f) = -2*f**2 - 5*f. Let o(x) = z*p(x) - 7*m(x). Solve o(n) = 0.
-5, 0
Suppose -2*t = 5*a - 23, -2*t + 8*a - 3*a = -13. Let g be (3/t)/(3/18). Determine l, given that -3*l**g + 2*l**2 - 2*l**2 + 3*l = 0.
0, 1
Let g(m) be the first derivative of -27*m**4/4 + 84*m**3 - 150*m**2 + 96*m - 74. Factor g(n).
-3*(n - 8)*(3*n - 2)**2
Suppose -k = 3, 5*o - 147 = -2*k + k. Factor 12 + 112*x**2 + 19*x - 38*x - o*x**3 - 51*x.
-2*(x - 3)*(3*x - 1)*(5*x - 2)
Let d(t) be the first derivative of 3*t**4 - 7*t**2 + 1/3*t**6 + 6*t + 13 - 2*t**5 + 4/3*t**3. Let d(p) = 0. Calculate p.
-1, 1, 3
Let l be 153/81 - (-2)/18. Suppose 1 = c - l. Factor -18*i**5 + 19*i**5 + 0*i**3 - i**c.
i**3*(i - 1)*(i + 1)
Let n(b) = b**3 + 6*b**2 - 26*b + 9. Let k be n(-9). Let z(g) be the second derivative of 0 + 0*g**3 - 6*g + 