e u(-10). Determine b so that -4*b**2 - 5*b**3 - 5*b**3 + 4*b + 11*b**r = 0.
0, 2
Let o = 434 - 431. Let x(v) be the second derivative of v + 0 - 1/6*v**o + v**2 + 1/96*v**4. Factor x(c).
(c - 4)**2/8
Let t(b) be the second derivative of -b**8/1680 + b**6/600 + 29*b**2/2 + 33*b. Let k(o) be the first derivative of t(o). Suppose k(h) = 0. What is h?
-1, 0, 1
Let a(x) be the third derivative of 1/40*x**5 + 0*x - 7/16*x**4 + 0 - 10*x**2 + 3/2*x**3. Factor a(t).
3*(t - 6)*(t - 1)/2
Suppose -2/13*a**2 + 22/13 + 20/13*a = 0. Calculate a.
-1, 11
Suppose 22188/5*n + 159014/5 + 16/5*n**3 + 1032/5*n**2 = 0. What is n?
-43/2
Let d(a) be the third derivative of a**5/4 - 7*a**4/4 + 125*a**2. Determine g, given that d(g) = 0.
0, 14/5
Let c(b) be the third derivative of 5*b**5/6 - 145*b**4/24 - 5*b**3/2 + 245*b**2. Let c(a) = 0. What is a?
-1/10, 3
Let c(q) be the second derivative of -2*q**7/21 - 8*q**6/15 - 3*q**5/5 + 90*q + 1. Solve c(f) = 0.
-3, -1, 0
Factor -5*a**3 - 55*a**2 + 161*a**2 + 101*a**2 - 7*a**2 + 420*a.
-5*a*(a - 42)*(a + 2)
Let u = 16213/910 - 249/14. Let t = 46/195 + u. Factor 2/5*h - t*h**2 + 0 - 2/15*h**3.
-2*h*(h - 1)*(h + 3)/15
Let b(j) be the first derivative of -j**5/420 - j**4/42 - 2*j**3/21 - j**2 + 30. Let u(n) be the second derivative of b(n). Determine h, given that u(h) = 0.
-2
Suppose 0 = -4*q - 2*k - 6, -4*k - 13 = 4*q - 1. Let v(y) be the first derivative of -1/11*y**2 + 3 - 2/33*y**3 + 1/22*y**4 + 2/55*y**5 + q*y. Solve v(f) = 0.
-1, 0, 1
Let i be 5/(5550/1500 - (-2)/(-10)). Let 10/7*n**3 - 4/7*n**4 - 6/7 + i*n**2 - 10/7*n = 0. What is n?
-1, -1/2, 1, 3
Let y(m) be the third derivative of -1/21*m**4 + 0*m**3 + 0*m - 3*m**2 + 0 + 1/105*m**5. Factor y(z).
4*z*(z - 2)/7
Let u(d) = -20*d**3 + 2*d**2 - 24*d - 24. Let n(x) = -x**3 - x - 1. Suppose -8*f = -13*f - 220. Let g(m) = f*n(m) + 2*u(m). Factor g(a).
4*(a - 1)*(a + 1)**2
Let x(c) be the second derivative of 0 + 6*c**2 + 14*c + 1/4*c**4 + 2*c**3. Find n, given that x(n) = 0.
-2
Let b(m) be the first derivative of -24/7*m**2 + 2 + 4/21*m**3 + 144/7*m. Factor b(c).
4*(c - 6)**2/7
Let c(u) be the third derivative of u**8/4480 - u**7/280 + u**6/40 - u**5/10 + 3*u**4/8 + 13*u**2. Let o(m) be the second derivative of c(m). Factor o(z).
3*(z - 2)**3/2
Let l = -4 - -4. Let r = 646/987 - -4/329. Factor l + 0*o**3 - o**2 + 1/3*o**4 + r*o.
o*(o - 1)**2*(o + 2)/3
Let v be 15/2 - (-728)/(-208). Let d(k) be the second derivative of 1/24*k**3 + 0*k**2 + 0 - 3*k + 0*k**v - 1/80*k**5. Let d(u) = 0. What is u?
-1, 0, 1
Suppose 255*o + 5*v - 15 = 253*o, 3*o = -3*v + 9. Factor -2/17*r**3 + 8/17*r + o*r**2 + 0.
-2*r*(r - 2)*(r + 2)/17
Let a = 81 - -30. Factor 480*h - a + 50 - 611*h**2 - 39 - 125*h**3 + 86*h**2.
-5*(h + 5)*(5*h - 2)**2
Suppose 0 = 4*f - 5*l - 41, 2*f + 3*l = -f - 3. Factor 2*b**2 + b**4 - 4*b - b**3 - 5*b**f + 2*b**4 + 5*b.
-b*(b - 1)*(b + 1)*(2*b + 1)
Let p(w) be the second derivative of 1/168*w**7 - 9*w - 1/24*w**4 + 1/16*w**5 - 1/30*w**6 + 0 + 0*w**2 + 0*w**3. Factor p(t).
t**2*(t - 2)*(t - 1)**2/4
Let g be 6/((-7)/(-1) + (-20 - -15)). Let 8/9 + 2*b**2 - 22/9*b - 2/9*b**4 - 2/9*b**g = 0. Calculate b.
-4, 1
Let j(w) = -3*w**3 + 64*w**2 + 3*w - 58. Let c(t) = -50*t**3 + 1090*t**2 + 50*t - 985. Let g(h) = 2*c(h) - 35*j(h). Determine y, given that g(y) = 0.
-1, 1, 12
Let z(v) be the third derivative of 0*v + 1/24*v**4 + 1/30*v**5 + 0*v**3 - 9*v**2 + 1/120*v**6 + 0. Determine h so that z(h) = 0.
-1, 0
Let a(c) be the first derivative of -c**4/28 + 13*c**3/3 - 2115*c**2/14 + 2025*c/7 + 596. Factor a(l).
-(l - 45)**2*(l - 1)/7
Let y(c) = -6*c**5 - 24*c**4 - 38*c**3 - 12*c**2 - 8*c + 8. Let h(b) = 4*b**5 + 16*b**4 + 25*b**3 + 8*b**2 + 5*b - 5. Let l(x) = -8*h(x) - 5*y(x). Factor l(f).
-2*f**2*(f + 1)**2*(f + 2)
Suppose 4*q - 4*n + 15 = 3, 5*q + 4*n = 30. Let 285*x + 108*x**2 - 75*x + 52*x**q + 45 + 85*x**2 = 0. Calculate x.
-3/7
Let r(o) be the first derivative of o**9/945 - o**8/300 - o**7/525 + 13*o**3/3 + 9. Let q(y) be the third derivative of r(y). Factor q(x).
4*x**3*(x - 2)*(4*x + 1)/5
Let p(o) = o**5 + o**4 + o**3 + 2*o**2 + o - 1. Let m(y) = -30*y**5 - 90*y**4 - 20*y**3 + 15*y**2 - 25*y + 25. Let l(v) = m(v) + 25*p(v). What is x in l(x) = 0?
-13, -1, 0, 1
Let p(h) = 3*h**4 + 9*h**3 - 11*h**2 - 9*h + 12. Let k(l) = -5*l**4 - 18*l**3 + 21*l**2 + 18*l - 23. Let r(b) = 4*k(b) + 7*p(b). Determine g so that r(g) = 0.
-1, 1, 8
Let s(c) be the second derivative of -c**6/720 + c**5/180 + 9*c**2/2 - 12*c. Let l(v) be the first derivative of s(v). Factor l(j).
-j**2*(j - 2)/6
Let k(p) be the second derivative of p**4/12 - p**3/2 - 592*p. Suppose k(w) = 0. What is w?
0, 3
Solve 32/19*o + 2/19*o**2 + 56/19 = 0 for o.
-14, -2
Let o = -38 - -30. Let y be (1/(-4) + 0)*o. Factor -l**3 - 1/7*l**4 - 18/7*l**y - 8/7 - 20/7*l.
-(l + 1)*(l + 2)**3/7
Let d be -2*(-3)/(-12) - (-612)/24. Determine g so that -15*g**3 + 35*g**2 + 11*g**2 - d*g - g**2 - 5*g**4 = 0.
-5, 0, 1
Let -6 + 2/15*z**2 + 8/5*z = 0. Calculate z.
-15, 3
Let q(f) be the third derivative of f**10/7560 + f**9/1890 - f**8/1680 - f**7/315 - 7*f**4/24 - 16*f**2. Let s(w) be the second derivative of q(w). Factor s(n).
4*n**2*(n - 1)*(n + 1)*(n + 2)
Determine o so that -1/6*o**5 + 8/3*o**3 + 0 + 0*o + o**4 + 0*o**2 = 0.
-2, 0, 8
Let m(i) be the third derivative of i**6/2520 - i**5/140 - i**4/24 + 3*i**3 - 19*i**2. Let c(s) be the first derivative of m(s). Solve c(t) = 0 for t.
-1, 7
Find b such that 24/5*b**2 + 32/5 + 56/5*b - 2/5*b**4 - 2/5*b**3 = 0.
-2, -1, 4
Find p, given that -32*p**5 + 29*p**5 - 213*p**4 - 2427*p**2 - 3885*p**3 - 1248*p**2 = 0.
-35, -1, 0
Let g = 4939 - 4937. Solve 2/7*c**g + 0 - 4/7*c = 0.
0, 2
Let p(j) be the second derivative of -j**5/40 - j**4/12 + j**3/4 - j + 5. Suppose p(v) = 0. Calculate v.
-3, 0, 1
Let z(l) = -2*l**5 + 13*l**4 + 7*l**3 - 23*l**2 - 2*l + 10. Let p(x) = -x**5 - x**4 - x**3 - x**2 - x + 2. Let d(o) = -p(o) - z(o). Let d(t) = 0. Calculate t.
-1, 1, 4
Let f be (-5 + 14/4)*8/(-6). Find m, given that 3*m**4 + m**3 + 116*m + 108*m**f + 81 + 29*m**3 - 42*m + 88*m = 0.
-3, -1
Suppose -391*k + 413*k - 594 = 0. Factor k - 6*j + 1/3*j**2.
(j - 9)**2/3
Suppose 16*n = 11*n + 4*s + 20, -n = -3*s - 4. Let -1/4*m**n + 0 + 1/2*m - 5/4*m**2 + m**3 = 0. Calculate m.
0, 1, 2
Let -15742*q - 15757*q - 12*q**3 + 31511*q + 9*q**4 - 9*q**2 = 0. What is q?
-1, 0, 1, 4/3
Determine m, given that -4*m**5 - 3*m + 8*m**3 + 20*m**4 - 40*m**2 + 108 - 88 - m = 0.
-1, 1, 5
Suppose q = p - 1, -2 - 6 = p + 2*q. Let u(f) = 2*f**2 - 18. Let s(x) = 1. Let y(r) = p*u(r) - 36*s(r). Find t, given that y(t) = 0.
0
Let g be (-31)/(-7) + (3/12)/(77/(-132)). Let p be 13/21 + (-3)/9. Solve -2/7*u**3 - 2/7*u**2 + p*u**5 + 2/7*u**g + 0 + 0*u = 0 for u.
-1, 0, 1
Suppose -30 = -4*b - 6*b. What is k in -28 + 14 + 16*k - 12*k**b + 4*k**4 + 14 = 0?
-1, 0, 2
Let h(k) = -k**3 + 15*k**2 + k - 13. Let v be h(15). Factor 10*m**3 + 5*m + 25*m**2 - 25*m**4 - 13*m - v*m.
-5*m*(m - 1)*(m + 1)*(5*m - 2)
Let p be (4 - 370/105)*(-448)/(-480). Solve -2/9*l**3 + 2/3*l + 0 - p*l**2 = 0 for l.
-3, 0, 1
Let w = -2920897147/717 - -4073777. Let a = w - 2/239. Solve 2/9*h**2 + 2 - a*h = 0 for h.
3
Let z(n) be the third derivative of 0*n + 0*n**5 - 16*n**2 - 1/210*n**7 + 0*n**3 + 0 + 1/40*n**6 - 1/6*n**4. Factor z(j).
-j*(j - 2)**2*(j + 1)
Let l(b) = -b**3 - 113*b**2 - 4105*b - 50657. Let p(g) = g**3 + 114*g**2 + 4104*g + 50659. Let c(s) = 3*l(s) + 2*p(s). Suppose c(h) = 0. Calculate h.
-37
Let j(d) be the first derivative of -d**4/10 - 68*d**3/5 - 2601*d**2/5 + 54. Let j(l) = 0. What is l?
-51, 0
Find p such that -1/2*p**5 + 0 - 7/2*p**4 + 0*p - 10*p**2 + 14*p**3 = 0.
-10, 0, 1, 2
Let k(m) be the second derivative of m**4/54 - 2*m**3/27 + m**2/9 - m - 47. Solve k(x) = 0 for x.
1
Let z(m) be the first derivative of 2*m**3 - 40 - m**3 + m - 28*m + 12*m**2. Factor z(h).
3*(h - 1)*(h + 9)
Let 24*s - 54*s**2 + 0 - 21/4*s**5 - 93*s**3 - 81/2*s**4 = 0. Calculate s.
-4, -2, 0, 2/7
Let x(n) be the third derivative of n**5/180 - 47*n**4/72 + 23*n**3/9 + 519*n**2. Factor x(s).
(s - 46)*(s - 1)/3
Let w(r) = 2*r - 18. Suppose -7*d = -2*d - 75. Let s be w(d). Factor 16*h - s*h - 6 - 2 + 4*h**2.
4*(h - 1)*(h + 2)
Let r(v) = v**2 - v - 10. Let s be r(-3). Let n(x) be the first de