 Factor x(v).
-(v - 2)**5/5
Let d(p) = -p**3 - 17*p**2 - 17*p - 1. Let r be d(-16). Let j be (r/6 + -2)*(4 - -2). What is x in 4/5*x**5 + 0*x + 0 + 1/5*x**j - x**4 + 0*x**2 = 0?
0, 1/4, 1
Let d(h) = 6*h**2 - 20*h - 15. Let n(q) = q**2 - 4*q - 3. Suppose -3*y - 23 = -g, -3*g - 2*y + 49 = -6*y. Let f(u) = g*n(u) - 2*d(u). Factor f(a).
-(a + 1)*(a + 3)
Let g be -1 + 95/30 - 240/144. Factor -7/2*f**3 - 3*f + 0 + g*f**5 - 1/2*f**4 + 13/2*f**2.
f*(f - 2)*(f - 1)**2*(f + 3)/2
Let t(i) be the third derivative of -i**8/168 + 2*i**7/105 + i**6/6 - 2*i**5/3 - 3*i**4/4 + 6*i**3 + 9*i**2 + 33. Suppose t(n) = 0. What is n?
-3, -1, 1, 2, 3
Let t be (1 - -9)*23/1265. Factor 4/11*p - t*p**2 + 0.
-2*p*(p - 2)/11
Let n be (-44)/(-12) - (-2)/6. Let x(b) be the first derivative of 1/4*b**n - 1/2*b**2 - 1/6*b**3 - 8 + 1/2*b. Find a, given that x(a) = 0.
-1, 1/2, 1
Let i be 1 + -3 + 0 - 6. Let z(m) = m**2 + 8*m + 2. Let c be z(i). Factor 0 - 26/5*g**4 - 4/5*g + 2/5*g**2 + 18/5*g**3 + c*g**5.
2*g*(g - 1)**3*(5*g + 2)/5
Let o(n) be the first derivative of n**5 - 5*n**4/4 - 10*n**3/3 + 135. Factor o(k).
5*k**2*(k - 2)*(k + 1)
Suppose 0 = 12*c + 159 - 195. Let a(r) be the first derivative of 0*r + 0*r**c + 2 + 0*r**4 - 2/9*r**6 + 0*r**2 + 4/15*r**5. Factor a(l).
-4*l**4*(l - 1)/3
Suppose -4*p - 6 = 2*p. Let m(g) = 2*g + 4. Let k be m(p). Factor 3/2*i**5 - 3*i**4 - 3/2*i + 0*i**3 + 3*i**k + 0.
3*i*(i - 1)**3*(i + 1)/2
Let r(f) be the second derivative of f**9/75600 - f**8/8400 + f**7/3150 + 17*f**4/12 + 4*f. Let h(p) be the third derivative of r(p). Solve h(z) = 0.
0, 2
Let k(t) be the third derivative of t**7/1260 - t**6/240 + t**5/360 + t**4/48 - t**3/18 - t**2 - 14*t. Find w, given that k(w) = 0.
-1, 1, 2
Let u = 847 - 840. Let c(t) be the second derivative of 0 + 6*t + 21/40*t**5 + 3/8*t**4 + 1/28*t**u + 1/4*t**6 + 0*t**2 + 0*t**3. Solve c(k) = 0.
-3, -1, 0
Let i = 1094 - 5464/5. Suppose 2/5*a**3 - 2/5*a - i*a**2 + 6/5 = 0. Calculate a.
-1, 1, 3
Let i be (-48)/(-432) - 178/(-18). Let x(a) be the first derivative of 4/15*a**3 + 3/10*a**4 - 1/5*a**2 + 0*a + i. Let x(m) = 0. What is m?
-1, 0, 1/3
Let w(v) be the first derivative of -v**3 + 12*v**2 + 27*v + 50. Let w(b) = 0. Calculate b.
-1, 9
Let i(a) = -35*a**2 + 20*a - 5. Let c(u) = -u**2 - u + 1. Let o(m) = 5*c(m) + i(m). Find q such that o(q) = 0.
0, 3/8
Let c(a) be the first derivative of -a**4 - 268*a**3 - 26934*a**2 - 1203052*a + 594. Solve c(r) = 0.
-67
Let y = 10655 + -31957/3. Factor 2/3*x**3 + 32/9*x**2 + 0 - y*x.
2*x*(x + 6)*(3*x - 2)/9
Let v(b) be the third derivative of -b**6/60 - b**5/3 + 61*b**4/12 + 70*b**3/3 - 4*b**2 - 22*b. Suppose v(j) = 0. What is j?
-14, -1, 5
Suppose -w - 3*p + 12 = 0, -5*w - 2*p + 27 = 2*p. Determine b, given that -7*b**3 + 5*b**w - b**2 + 3*b**3 = 0.
0, 1
Let o(v) be the second derivative of v - 2/3*v**3 - 4*v**2 + 1/5*v**5 + 2/3*v**4 + 0. Factor o(i).
4*(i - 1)*(i + 1)*(i + 2)
Let x(y) be the first derivative of -y**5 + 15/2*y**2 + 25/3*y**3 - 11 + 5/4*y**4 + 0*y. Factor x(c).
-5*c*(c - 3)*(c + 1)**2
Let l(y) be the first derivative of -y**6 - 201*y**5/5 - 354*y**4 + 1477*y**3 - 1890*y**2 + 972*y + 204. Find b, given that l(b) = 0.
-18, 1/2, 1
Let w be 2/3 + (-50)/30. Let k = 3 + w. What is g in 4 - 3*g**2 - 2*g**2 + 0*g**2 - g**3 + 2*g**k = 0?
-2, 1
Let n(c) be the third derivative of -c**8/84 - 38*c**7/105 - 23*c**6/6 - 241*c**5/15 - 104*c**4/3 - 128*c**3/3 + c**2 - 5. Factor n(q).
-4*(q + 1)**3*(q + 8)**2
Suppose 30 = 3*o + 5*l, -2 = 2*l - 8. Determine i so that o*i - 128 + 0*i**2 - i**2 + 124 = 0.
1, 4
Let m = 18 + -13. Suppose -4*i + 13 = 3*z, -i + 11 = m*z - 5*i. Factor -2*r + 8*r**3 - r - 2*r**3 - z*r**5.
-3*r*(r - 1)**2*(r + 1)**2
Let l = 4058/1645 - 22/329. Suppose -2/5*f**5 - 4/5*f**2 + 16/5 + 24/5*f - 22/5*f**3 - l*f**4 = 0. What is f?
-2, -1, 1
Let i(l) be the first derivative of -2*l**4 + 37*l**3/3 - 77*l**2/2 + 1. Let q(d) = 7*d**3 - 38*d**2 + 78*d. Let g(c) = -2*i(c) - 3*q(c). Factor g(o).
-5*o*(o - 4)**2
Suppose -2*l + 20 = 5*c, 49*l + 4*c - 16 = 52*l. Let z = 88/195 + -2/39. Let z*i**2 + 6/5*i**5 + l*i + 0 - i**3 - 1/5*i**4 = 0. Calculate i.
-1, 0, 1/2, 2/3
Factor 15/4*y**3 + 90 + 351/4*y**2 + 519/2*y.
3*(y + 3)*(y + 20)*(5*y + 2)/4
Let j(c) be the third derivative of -25*c**2 + 0*c - 1/224*c**8 + 1/35*c**7 + 0*c**4 - 1/16*c**6 + 1/20*c**5 + 0*c**3 + 0. Factor j(q).
-3*q**2*(q - 2)*(q - 1)**2/2
Suppose -4*x = -6*x + 20. Factor -41*j**2 - 3*j**4 + 3*j**3 - 5*j**2 + x*j**2 + 24*j + 15*j**3.
-3*j*(j - 2)**3
Let g(t) = -3*t + 40. Let a be g(12). Let o be (2/(-4))/(8/(-32)). Factor o*k**3 - 4/3*k**a + 0*k**2 + 0 - 2/3*k.
-2*k*(k - 1)**2*(2*k + 1)/3
Let w(o) = 26*o**4 + 24*o**3 + 29*o**2 + 5. Let l(a) = 11*a**4 + 12*a**3 + 14*a**2 + 2. Let n(j) = -5*l(j) + 2*w(j). Factor n(z).
-3*z**2*(z + 2)**2
Determine o so that 0*o + 0 - 2/9*o**5 + 0*o**3 + 26/9*o**4 + 0*o**2 = 0.
0, 13
Let z = -9626 + 48286/5. Let x = -152/5 + z. Determine q, given that -6/5*q**2 + x*q + 2/5 = 0.
-1/3, 1
Let s(y) = -y**2 + 30*y + 38. Let l(j) = -j**2 + 20*j + 26. Let v(d) = -7*l(d) + 5*s(d). Suppose v(g) = 0. Calculate g.
-4, -1
Let q(j) = 3*j**2 - 2. Let x = 11 - 8. Let v(c) = -4*c**2 + 1. Let o(y) = x*q(y) + 2*v(y). Determine n so that o(n) = 0.
-2, 2
Let a(j) be the second derivative of 19/7*j**4 + 0 - 81/35*j**6 + 8/7*j**2 - 68/21*j**3 - 14*j + 27/10*j**5. Solve a(h) = 0.
-2/3, 2/9, 1
Let v(p) be the second derivative of 5*p**7/63 + 8*p**6/15 + 5*p**5/6 - p**4/3 - 235*p. Find m, given that v(m) = 0.
-3, -2, 0, 1/5
Factor 2/7*w**3 + 8/7*w - 2*w**2 + 24/7.
2*(w - 6)*(w - 2)*(w + 1)/7
Let z(x) be the second derivative of -x**7/2100 - x**6/225 - x**5/75 + 7*x**3/6 - 7*x. Let j(a) be the second derivative of z(a). Solve j(o) = 0 for o.
-2, 0
Determine v, given that -23 + 128*v - 400*v**4 - 40*v**3 + 13*v**2 + 103 - v**2 + 396*v**4 = 0.
-10, -1, 2
Factor -2 + 14*h + h**3 + 0*h**3 - 9*h**2 + 4*h**2 - 2*h**2 - 6.
(h - 4)*(h - 2)*(h - 1)
Suppose -4*r = 4, r - 58 = -3*y - r. Find v, given that 12*v + 1 - 13 + 2 + y*v**2 + 4*v**3 - 26 = 0.
-3, 1
Let m(z) = z**2 - 33. Let i be m(6). Determine u so that 0*u + 1/3*u**2 + 1/6*u**i + 0 = 0.
-2, 0
Suppose 3*x + 36 = 5*p, 2*p + 3*p + x = 28. Let o = 9 - p. Factor 3*s**3 - 2*s - 2*s**3 + 5*s - 4*s**o.
-3*s*(s - 1)*(s + 1)
Let a(h) = 2*h**3 + 52*h**2 + 334*h - 8. Let u(k) = 4*k**3 + 104*k**2 + 669*k - 14. Let s(g) = 7*a(g) - 4*u(g). Determine q so that s(q) = 0.
-13, 0
Let k = 1540/3 + -512. Solve -2/9*s**2 + 0 - k*s = 0.
-6, 0
Let w = 19489/34069 - 3/4867. Factor 0*d + 4/7*d**5 - w*d**4 + 4/7*d**2 - 4/7*d**3 + 0.
4*d**2*(d - 1)**2*(d + 1)/7
Suppose 2*l = 80 - 32. Let i be (0 - 4)*l/(-32). Factor -3*n**5 + 4*n + 4*n**5 - i*n - 2*n**3.
n*(n - 1)**2*(n + 1)**2
Let w(u) be the first derivative of -u**6/2 + 21*u**5/5 - 9*u**4/4 - 19*u**3 + 6*u**2 + 36*u - 555. Solve w(l) = 0 for l.
-1, 1, 2, 6
Suppose 34508*g + 2*g**5 - 34508*g + 10*g**3 + 8*g**4 + 4*g**2 = 0. Calculate g.
-2, -1, 0
Let u(s) be the first derivative of -s**3 + 3*s**2/2 + 18*s - 59. Determine p, given that u(p) = 0.
-2, 3
Let x(t) be the second derivative of -t**4/138 + 4*t**2/23 + 142*t - 1. Solve x(u) = 0.
-2, 2
Let f(m) be the second derivative of 21*m + 3/40*m**5 + 1/84*m**7 + 0 + 0*m**3 + 1/12*m**6 - 3/8*m**4 + 0*m**2. Factor f(u).
u**2*(u - 1)*(u + 3)**2/2
Let q(i) be the third derivative of i**7/735 - 2*i**6/105 + 4*i**5/35 - 8*i**4/21 + 16*i**3/21 - 25*i**2 - 3. Factor q(s).
2*(s - 2)**4/7
Let c be (-91)/(-42) - 28/(-12). Let 0 + 7/2*j**2 + 5/2*j**4 - j - 1/2*j**5 - c*j**3 = 0. Calculate j.
0, 1, 2
Let y(p) be the first derivative of p**4/66 - 2*p**3/33 - 3*p**2/11 + p + 39. Let a(h) be the first derivative of y(h). Factor a(n).
2*(n - 3)*(n + 1)/11
Let g(s) = -5*s**4 + 130*s**3 - 938*s**2 + 1451*s + 11. Let f(q) = q**4 - 26*q**3 + 188*q**2 - 290*q - 2. Let t(r) = 11*f(r) + 2*g(r). Solve t(v) = 0 for v.
0, 2, 12
Let c(u) be the third derivative of u**5/15 - u**4 + 6*u**3 - 12*u**2 + 4. Factor c(b).
4*(b - 3)**2
Let o(r) be the second derivative of r**5/200 - r**4/10 - 199*r. Suppose o(s) = 0. What is s?
0, 12
Let x(h) be the first derivative of -3*h**4/4 + 5*h**3 + 51*h**2/2 - 63*h - 398. Solve x(v) = 0 for v.
-3, 1, 7
Let z be 3470/(-5205) - (-3)/(-4)*42/(-27). What is k in k**2 + 0 + 0