t p(y) be the first derivative of -64*y + n*y**4 - 3 - 2/5*y**5 + 56*y**2 - 24*y**3. Find t such that p(t) = 0.
2, 4
Let q(f) be the first derivative of 2*f**5/5 - 29*f**4 - 40*f**3 + 58*f**2 + 118*f + 2178. Find r, given that q(r) = 0.
-1, 1, 59
Let f(x) be the third derivative of 1/1800*x**6 - 10*x**2 + 7/6*x**3 + 0*x - 1/120*x**4 + 0*x**5 + 0. Let k(l) be the first derivative of f(l). Factor k(d).
(d - 1)*(d + 1)/5
Let 825*r**2 + 15*r**4 - 120*r**2 - 19 + 135*r - 77 - 32 + 445*r**3 - 12 = 0. Calculate r.
-28, -1, 1/3
Let m(i) be the second derivative of 0*i**2 + 2/5*i**6 + i**3 + 3 + 39/20*i**5 - 4*i + 11/4*i**4. Factor m(a).
3*a*(a + 1)*(a + 2)*(4*a + 1)
Let y = 53 - 49. Suppose -4 = y*k + 2*u - 2, 5*u + 23 = -k. Solve -8/7*n - 2/7*n**k - 8/7 = 0.
-2
Let x(u) = -52*u - 403. Let k be x(-8). Let s(a) be the second derivative of 2/5*a**2 - 1/25*a**5 - k*a + 2/15*a**3 + 0 - 1/15*a**4. Factor s(h).
-4*(h - 1)*(h + 1)**2/5
Let v = 1657/790 - 205/158. Factor 0 + 0*d**3 + v*d**5 + 68/5*d**4 + 0*d**2 + 0*d.
4*d**4*(d + 17)/5
Suppose -5*f + 24*f = 38. Factor 38*s**f + 4*s**3 + 9*s + 12 - 26*s**2 - 2*s**3 + 13*s.
2*(s + 1)*(s + 2)*(s + 3)
Suppose o - 2*h - 2 - 6 = 0, -o = 2*h + 8. Let w(d) be the first derivative of 195*d**3 + 5 + o - 194*d**3. Factor w(m).
3*m**2
Let v(q) = -40*q**3 - 25*q**2 - 300*q + 765. Let l(c) = c**3 + 2*c - 1. Let x(o) = 45*l(o) + v(o). Let x(u) = 0. What is u?
-6, 3, 8
Let 5/4*g**2 + 1275125/4 - 2525/2*g = 0. What is g?
505
Let o(f) be the first derivative of -f**4 - 100*f**3/3 - 336*f**2 - 576*f - 8393. Factor o(w).
-4*(w + 1)*(w + 12)**2
Let s(b) be the third derivative of b**6/120 + 33*b**5/20 + 97*b**4/12 - 6*b**2 + 82*b. Suppose s(a) = 0. What is a?
-97, -2, 0
Let r(c) be the third derivative of -c**7/1575 + 29*c**6/450 + 27*c**5/50 + 77*c**4/45 + 124*c**3/45 - 531*c**2 + 5*c. Determine d, given that r(d) = 0.
-2, -1, 62
Suppose -134*z + 730 = -21*z + 391. Let c(l) be the first derivative of -5/3*l**z + 39 - 5/2*l**2 + 0*l. Factor c(y).
-5*y*(y + 1)
Find z, given that -4416*z + 70*z**2 - 45*z**2 - 1218816 - 29*z**2 = 0.
-552
Let r(m) = -2*m**3 + 73*m**2 - 567*m + 141. Let t be r(11). Solve -t*j + 1875/2 + 3/2*j**2 = 0.
25
Suppose 0*j + 2/17*j**3 - 126/17*j**2 + 0 = 0. Calculate j.
0, 63
Let k be 18 + -38 + 1224/54. Determine x, given that 8/3 - k*x + 2/3*x**2 = 0.
2
Suppose 2/9*a**2 - 4412/9*a + 2433218/9 = 0. Calculate a.
1103
Let m(n) be the first derivative of -1/96*n**4 + 9*n + 1/12*n**3 + 6 - 1/4*n**2. Let i(q) be the first derivative of m(q). Determine p so that i(p) = 0.
2
Suppose 3*v = 2*h + 83, 42*v - 80 = 38*v - 5*h. Let m be 5/(-2)*(-27 + v). What is s in 12/7*s**4 + 12/7*s - 4/7*s**m - 4/7 - 8/7*s**3 - 8/7*s**2 = 0?
-1, 1
Let i(v) be the second derivative of v**4/12 - 13*v**3/6 + 3*v**2/2 - 557*v. Let g be i(13). What is h in 4/7*h + 0*h**g + 2/7*h**4 + 0 - 6/7*h**2 = 0?
-2, 0, 1
Let b(d) be the third derivative of -d**6/72 + d**5/8 + 5*d**4/6 + 35*d**3/6 - 15*d**2. Let s(l) be the first derivative of b(l). Factor s(t).
-5*(t - 4)*(t + 1)
Suppose -5*t + c - 4 = 0, 0 = 4*t - 107*c + 106*c + 4. Factor 0*l**2 + 1/7*l**3 - 1/7*l + t.
l*(l - 1)*(l + 1)/7
Let p = -501933/7 - -71705. Find x, given that x - 4/7 - p*x**2 - 1/7*x**3 = 0.
-4, 1
Let f(l) be the second derivative of -l**4/6 - 215*l**3/3 + 252*l + 5. Solve f(c) = 0 for c.
-215, 0
Let w(f) = 21*f**3 + 192*f**2 + 177*f - 386. Let a(s) = 122*s**3 + 1154*s**2 + 1064*s - 2317. Let i(p) = 4*a(p) - 23*w(p). Factor i(c).
5*(c - 1)*(c + 2)*(c + 39)
Let v(w) be the first derivative of -3/2*w**3 + 79/4*w**2 - 141 + 9*w. Find o, given that v(o) = 0.
-2/9, 9
Suppose -5*r = 2*h - 20, 2*r + 3043 = h + 3051. What is n in 0 - 216/11*n - 144/11*n**2 - 2/11*n**r - 30/11*n**3 = 0?
-6, -3, 0
Let h = -5941 + 5944. Let p(q) be the first derivative of 8 + 5/12*q**2 + 1/18*q**h + q. Suppose p(k) = 0. What is k?
-3, -2
Let r(d) = -4*d - 22. Suppose -18 = -8*t + 11*t. Let w be r(t). Find k such that -23*k**3 - w - 25*k + 18*k**3 - 1 - 7 - 20*k**2 = 0.
-2, -1
Let n(q) be the second derivative of -10*q**7/21 + 11*q**6/6 + q**5 - 55*q**4/12 + q + 1056. Suppose n(b) = 0. What is b?
-1, 0, 1, 11/4
Let c(v) = -275*v**2 - 4720*v - 23825. Let z(a) = a**3 - 275*a**2 - 4721*a - 23829. Let f(u) = 6*c(u) - 5*z(u). Factor f(g).
-5*(g + 9)*(g + 23)**2
Let j be 0/69 - (0 + -2). Determine t, given that 50 - 24*t**3 - 10*t**4 - 16*t**4 + 92*t**j - 120*t + 28*t**4 = 0.
1, 5
Let t = -4906 + 4909. Let y(f) be the third derivative of 0*f + 1/300*f**6 - 1/2100*f**7 + 1/60*f**4 - 1/60*f**t + 0 - 1/100*f**5 - 15*f**2. Factor y(x).
-(x - 1)**4/10
Let j be 7 - 11/(7 + (-52)/8). Let k be ((-18)/j)/((-93)/60 + 2). Solve -k - 2/3*o**2 + 10/3*o = 0.
1, 4
Let r(n) be the first derivative of 5*n**9/3024 + n**8/140 + 3*n**7/280 + n**6/180 - 7*n**3 - 4. Let z(c) be the third derivative of r(c). Factor z(t).
t**2*(t + 1)**2*(5*t + 2)
Let j be 25010/50 - 3/9. Let s = 500 - j. Let 128/15 + s*o**2 + 32/15*o = 0. What is o?
-8
Let j = -51/40 + 7/5. Let y be ((-8)/(-52))/(312/507). Factor j*d**2 + y*d + 1/8.
(d + 1)**2/8
Let j(c) = -c**2 - 10*c + 1. Let p(f) = -4*f**2 - 366*f + 610. Let y(s) = 6*j(s) - p(s). Let y(l) = 0. Calculate l.
2, 151
Let u be -202*(-2)/10 - 76/190. Factor -13 - u*g - 11 - 2 - 9 - 5*g**2.
-5*(g + 1)*(g + 7)
Let q = -18 - -10. Let y be (0 + (-20)/q)*16/10. Factor -532*u**2 + 532*u**2 - 16*u + 4*u**y + 12*u**3.
4*u*(u - 1)*(u + 2)**2
Let -13/2*z**3 - 56*z - 30*z**2 - 32 - 1/2*z**4 = 0. Calculate z.
-4, -1
Factor -157/5*d**2 - 112/5 + 246/5*d + 24/5*d**3 - 1/5*d**4.
-(d - 14)*(d - 8)*(d - 1)**2/5
Factor 1754/3*t + 1/3*t**2 + 769129/3.
(t + 877)**2/3
Let q be 575/3450*13/(13/12). Factor -1/3*z**q - 2*z + 0.
-z*(z + 6)/3
What is v in -3*v**3 - 678 - 665*v - 684*v**2 + 0*v**3 - 1059*v + 365*v = 0?
-226, -1
Let s be (161 - 2)/((-36)/24). Let v = 109 + s. Factor 0 - 8/11*t**v + 10/11*t**2 + 2/11*t**4 - 4/11*t.
2*t*(t - 2)*(t - 1)**2/11
Let c(z) be the first derivative of -z**3/3 - 27*z**2/2 - 212. Factor c(m).
-m*(m + 27)
Let 3*b**2 - 45/4*b - 27/2 + 3/4*b**3 = 0. Calculate b.
-6, -1, 3
Suppose 18 = 3*z + 4*n, 26*n = 3*z + 31*n - 21. Let w = 9244/7 + -1316. What is h in -z*h**2 - 8/7 - w*h = 0?
-2, -2/7
Find c such that 4683*c**5 - 1654*c**3 - 4950*c + 1143*c**2 + 565*c**4 - 4695*c**5 - 88 + 4996*c = 0.
-1/4, 1/3, 1, 2, 44
Let u(c) be the third derivative of 2*c**7/105 - 3*c**6/10 + c**5/5 + 37*c**4/6 + 16*c**3 - 1124*c**2. Find x, given that u(x) = 0.
-1, 3, 8
Suppose -24 - 3956/3*y**2 + 1828/3*y**3 + 820*y - 260/3*y**4 = 0. Calculate y.
2/65, 1, 3
Let i(q) be the first derivative of -2*q**5/25 - 17*q**4/10 + 868*q**3/15 - 2683. Factor i(c).
-2*c**2*(c - 14)*(c + 31)/5
Let h(c) = 10*c**2 - 167*c. Let o(n) = 3*n**2 - 42*n. Let a(i) = -3*h(i) + 11*o(i). Factor a(m).
3*m*(m + 13)
Let l(f) = -23*f - 15. Let p be l(-14). Let q = p + -305. What is i in 0*i**q + 0 - 8/15*i + 2/15*i**3 = 0?
-2, 0, 2
Let j(y) be the third derivative of 7*y**5/100 + 29*y**4/20 + 8*y**3/5 + 4*y**2 - 33*y. What is d in j(d) = 0?
-8, -2/7
Let v be ((-1 - 1)/(-4))/((-26)/(-52)). Let j(b) = -3*b**2 + 8*b - 19. Let z(a) = 2*a**2 + a - 1. Let i(c) = v*j(c) + z(c). Factor i(g).
-(g - 5)*(g - 4)
Solve 1/7*i**4 - 3/7*i**2 + 3/7*i**3 - 11/7*i - 6/7 = 0.
-3, -1, 2
Let o(k) be the second derivative of 3*k**5/16 + 215*k**4/48 - 475*k**3/24 + 245*k**2/8 + 971*k. Suppose o(g) = 0. What is g?
-49/3, 1
Let g(f) be the first derivative of -f**3/12 + 175*f**2/4 + 4864. Factor g(o).
-o*(o - 350)/4
Factor -62/5*b - 2/5*b**2 - 368/5.
-2*(b + 8)*(b + 23)/5
Let y(d) = -25*d**3 - 339*d**2 - 2323*d - 2025. Let g(k) = -66*k**3 - 903*k**2 - 6195*k - 5400. Let n(p) = 8*g(p) - 21*y(p). Solve n(b) = 0.
-25, -9, -1
Let p(d) = -2*d**2 - 12*d - 13. Let s be p(-4). Factor -2*n**s + n + 20 - 12*n - 20*n**2 + 13*n.
-2*(n - 1)*(n + 1)*(n + 10)
Let o(k) be the second derivative of 3*k**5/20 + 5*k**4/4 - 176*k + 1. Factor o(b).
3*b**2*(b + 5)
Let h be 154*(4 + (-9)/12*2). Let r be (66/h)/((-1)/(-15)). Factor 27/7 + r*k + 3/7*k**2.
3*(k + 3)**2/7
Let p(w) be the first derivative of w**5/25 + 34*w**4/5 + 334*w**3 + 2600*w**2 + 4225*w + 2285. Determine u so that p(u) = 0.
-65, -5, -1
Let o = 900608 + -898907. Find n, given that 54*n + 3/7*n**2 + o = 0.
-63
Suppose 0 = 