0.
-71, 0
Let t(d) be the third derivative of -d**8/84 - 2*d**7/105 + d**6/6 - d**5/5 - 1824*d**2. Factor t(q).
-4*q**2*(q - 1)**2*(q + 3)
Let r = -27973/84 + 7072/21. Determine z, given that -r*z**4 + 21/4*z - 21/4*z**3 + 3/2 + 9/4*z**2 = 0.
-1, -2/5, 1
Factor 1/4*s**4 + 19/2*s**2 + 10*s + 11/4*s**3 + 0.
s*(s + 2)*(s + 4)*(s + 5)/4
Find g, given that -5*g**4 + 12295 + 115*g**2 - 6184 - 45*g**3 + 45*g - 6221 = 0.
-11, -1, 1, 2
Suppose -11*m - 598 = -8793. Let k = m - 9679/13. Suppose 28/13*j**3 - 48/13*j**2 + k*j**5 + 32/13*j**4 - 18/13*j + 0 = 0. What is j?
-3, -1/3, 0, 1
Suppose 0 = -4*u + 5*k + 48, 0 = u - 0*u - 5*k - 12. Suppose -4*i = o - 6 + 18, 0 = -4*i - u. Factor 2*h**2 - 2/5*h**5 + 6/5*h**3 + 4/5*h - 2/5*h**4 + o.
-2*h*(h - 2)*(h + 1)**3/5
Let 3099*b - 21047 + 5*b**3 - 21*b**2 - 384*b**2 - 1340 - 34988 + 5676*b = 0. What is b?
15, 51
Let l be (1 - (-2)/(-4))/((-11)/(-66)). Let r(n) be the third derivative of 13*n**2 - 2/9*n**l - 1/12*n**4 - 1/90*n**5 + 0 + 0*n. Factor r(k).
-2*(k + 1)*(k + 2)/3
Let v be (1 - 2)*(-1)/4. Suppose 0 = -12*y + 51*y - 39. Factor j + y + v*j**2.
(j + 2)**2/4
Factor 383*h - 352 - 74573*h**4 + 74569*h**4 - 204*h**2 - 68*h**3 + 245*h.
-4*(h - 1)**2*(h + 8)*(h + 11)
Factor 108*h**2 + 81*h - 139*h + 7*h**4 + 73*h**3 + 3*h**4 + 10 - 149*h**3 + 6*h**5.
2*(h - 1)**3*(h + 5)*(3*h - 1)
Factor 219/2*x**2 - 437/4*x + 291/8 - 147/4*x**3 + 1/8*x**4.
(x - 291)*(x - 1)**3/8
Suppose 578 = 6*o + 2960. Let n = 4369/11 + o. Factor 2/11*w**5 + 0 + 0*w + n*w**4 - 2/11*w**3 - 2/11*w**2.
2*w**2*(w - 1)*(w + 1)**2/11
Let z = 31863/1931 - 3/3862. Suppose z*b + 1/4*b**2 + 1089/4 = 0. What is b?
-33
Suppose -2*b - 5*j = -16, -4 = -2*b + 4*j - 6. Factor -8*r**2 - 6 + 12*r**4 - b*r**5 - 5*r**2 + 7*r**2 + 15*r - 12*r**3.
-3*(r - 2)*(r - 1)**3*(r + 1)
Let g(h) be the third derivative of h**6/24 - 121*h**5/12 + 775*h**4 - 3000*h**3 + 1303*h**2. Suppose g(v) = 0. Calculate v.
1, 60
Let f(u) = -6*u**2 + 6*u + 8. Let d(t) = -25*t - 2. Let y be d(1). Let c = -30 - y. Let a(x) = 6*x**2 - 7*x - 7. Let s(j) = c*f(j) - 4*a(j). Factor s(h).
-2*(h - 2)*(3*h + 1)
Determine z so that 3/2*z - 3/2*z**3 - 45/4 - 3/4*z**4 + 12*z**2 = 0.
-5, -1, 1, 3
Let m be (-2)/(-4)*110/11 + 31. Let o be m/(-30)*(-1)/2. What is d in -1/5*d - o*d**3 - 1/5*d**4 - 3/5*d**2 + 0 = 0?
-1, 0
Suppose 4*t - k + 2*k - 11 = 0, 3*k = 9. Let y be 132/110*(-120)/(-9). Let t*j - 32*j**5 + 16*j**4 - y*j**2 + 30*j**3 + 12 - 12 = 0. Calculate j.
-1, 0, 1/4, 1
Let y(j) be the third derivative of -24*j**2 + 0*j + 5/3*j**3 + 13/40*j**5 + 0 + 3/160*j**6 - 29/24*j**4. Factor y(d).
(d + 10)*(3*d - 2)**2/4
Suppose -22*k + 18*k + 76 = 0. Let o = k + 3. Factor -o*d**5 - 10*d**3 + 19*d**5 + 12*d**4 + 10*d**3.
-3*d**4*(d - 4)
Suppose 44 = 10*t + 24. Determine g, given that 5*g**4 - g**3 - 3*g**3 - 11*g**3 - 120 - 110*g**t + 20*g**3 + 220*g = 0.
-6, 1, 2
Let d(l) = -10*l**4 + 9*l**2 - l + 7. Suppose 3*s - 68 = 5*s. Let v = s - -20. Let y(g) = -3*g**4 + 3*g**2 + 2. Let r(c) = v*y(c) + 4*d(c). Factor r(n).
2*n*(n - 2)*(n + 1)**2
Let r(m) = -5*m**3 - 203*m**2 + 5*m + 173. Let w(i) = 5*i**3 + 200*i**2 - 5*i - 175. Let z(n) = -5*r(n) - 6*w(n). Factor z(t).
-5*(t - 1)*(t + 1)*(t + 37)
Let d = 36 - 25. Let h be (8/4 + -1)*1*4. Factor -30*z + d*z**4 - 27*z**2 - 2*z - 21*z**2 - 18*z**3 - 13*z**h.
-2*z*(z + 1)*(z + 4)**2
Let r = -192912 + 385869/2. Suppose -21 - 6*y**2 + r*y = 0. What is y?
7/4, 2
Let d(q) be the second derivative of -q**4/12 - 707*q**3/3 - 1413*q**2/2 - 7421*q. Factor d(i).
-(i + 1)*(i + 1413)
Let a = -8955934/9 - -995104. Find u such that -a*u**3 + 0*u + 2/9*u**5 - 14/9*u**2 + 8/9 + 2/3*u**4 = 0.
-2, -1, 1
Let b(s) be the third derivative of -1/30*s**5 - 1/120*s**6 + 0*s**3 + 0*s + 1/336*s**8 + 0 + 0*s**4 - 49*s**2 + 1/105*s**7. Find w, given that b(w) = 0.
-2, -1, 0, 1
Let y = -700 - -702. Suppose 10*h - 11*h + y = -2*o, 3 = -h + 3*o. Determine d so that 9*d**3 + h*d + 8/3 + 50/3*d**2 + 5/3*d**4 = 0.
-2, -1, -2/5
Let w(z) be the first derivative of -2*z**6/3 + 36*z**5/5 + 4*z**4 - 192*z**3 + 1728*z + 6403. Suppose w(k) = 0. What is k?
-3, -2, 2, 6
Let m(x) = 6*x**4 + 24*x**3 - 54*x**2 + 86*x - 55. Let p(c) = 5*c**4 + 23*c**3 - 56*c**2 + 88*c - 54. Let k(q) = -6*m(q) + 7*p(q). Let k(z) = 0. Calculate z.
1, 2, 12
Suppose 2*k = 3*k + 5*g - 27, 10 = 2*g. Factor 20*d - d**2 - d**2 + 6*d**2 - k + 26.
4*(d + 2)*(d + 3)
Let c be (84/(-35))/6 + 16/(-10). Let l be ((-16)/5 - c)/(6/(-15)). Suppose 3*h**5 - 2*h - 7*h + 52*h**2 + 6*h**l - 40*h**2 - 12*h**4 = 0. Calculate h.
-1, 0, 1, 3
Let w(q) = -47*q + 1802. Let j be w(38). Let z(i) be the second derivative of 1/20*i**5 + 0 + 2/3*i**3 - 1/3*i**4 - j*i + 0*i**2. Factor z(c).
c*(c - 2)**2
Let p(j) = -13*j**2 - 535*j + 18. Let k(o) = 6*o**2 + 268*o - 8. Let v(f) = 9*k(f) + 4*p(f). Determine y, given that v(y) = 0.
-136, 0
Suppose 5*l**3 - 122*l - 5910 + 1706 + 13476 - 125*l**2 - 238*l + 8548 = 0. Calculate l.
-11, 18
Suppose -560/3*i + 4*i**2 - 784/3 - 4/3*i**4 + 40/3*i**3 = 0. Calculate i.
-2, 7
Let c(m) = m**3 + 1. Suppose 2*y - 20*v + 21*v + 3 = 0, 0 = 4*y - 2*v - 14. Let h be c(y). Factor 1/7*b**h - 1/7*b + 0.
b*(b - 1)/7
Let g(n) be the second derivative of 7*n**6/2 + 143*n**5/10 + 13*n**4 + 4*n**3/3 - 995*n. Find d, given that g(d) = 0.
-2, -2/3, -2/35, 0
Suppose 3*k - 2238 = 4*v - 2186, 2*v = 5*k - 26. Factor 0*i**2 - 3/2*i**3 + 3/4*i**5 + 0 + 3/4*i + k*i**4.
3*i*(i - 1)**2*(i + 1)**2/4
Let u(f) be the third derivative of f**6/180 - 7*f**5/10 + 377*f**4/12 - 4205*f**3/9 + 772*f**2. Determine n, given that u(n) = 0.
5, 29
Suppose -20 = -4*i - 5*y, 0 = i - 0*y - 5*y - 30. What is k in 5*k**2 - 122*k**4 + 59*k**4 + i*k**3 + 68*k**4 = 0?
-1, 0
Let k(l) be the second derivative of -l**5/20 - 17*l**4/8 + 22*l**2 - 17*l + 2. Let a(o) be the first derivative of k(o). Factor a(q).
-3*q*(q + 17)
Let y(h) be the third derivative of -h**6/420 + 278*h**5/105 - 77837*h**4/84 + 153458*h**3/21 + 3349*h**2. Find c, given that y(c) = 0.
2, 277
Let s(p) be the third derivative of p**7/245 - p**6/140 - 4*p**5/7 + 4*p**4 - 256*p**2 - p. Let s(h) = 0. Calculate h.
-7, 0, 4
Factor 12*k**3 + 402/5*k**2 + 135 + 204*k + 3/5*k**4.
3*(k + 1)*(k + 5)**2*(k + 9)/5
Let h(a) = -5*a + 5. Suppose -4*o = 6 - 2. Let w be h(o). Factor -15*g**2 - 17 + 13 - w*g + 9.
-5*(g + 1)*(3*g - 1)
Suppose -3*g + 5*z = 15, 4*g - z - 6 = -3*z. Suppose g = -4*m + 2*m + 6. Solve 16 + 7*j**3 - j**2 - m*j**2 - 55*j - 17*j**3 + 95*j = 0 for j.
-2, -2/5, 2
Let l = 1/554930 + 554923/3884510. Let 5/7*v**3 + 0 - 3/7*v**2 - 1/7*v**5 - l*v**4 + 0*v = 0. Calculate v.
-3, 0, 1
Let u(o) be the third derivative of o**7/1008 + 2*o**6/135 + o**5/60 - 65*o**3/2 + 185*o**2. Let m(s) be the first derivative of u(s). Factor m(r).
r*(r + 6)*(5*r + 2)/6
Let u(b) be the third derivative of 0 - 16/9*b**3 + 0*b - 258*b**2 - 1/135*b**5 + 5/27*b**4. Factor u(y).
-4*(y - 6)*(y - 4)/9
Suppose 0*z + 2/7*z**3 - 512/7 + 24/7*z**2 = 0. Calculate z.
-8, 4
Let x(s) be the second derivative of s**7/210 + 17*s**6/150 + 27*s**5/25 + 76*s**4/15 + 32*s**3/3 - 1053*s. Solve x(b) = 0.
-5, -4, 0
Suppose -8*a = -1 - 15. Factor 10*u**4 + 8*u**a - 5*u**5 + 13*u**2 + 8*u - 31*u**2 - 3*u.
-5*u*(u - 1)**3*(u + 1)
Suppose 10*b = 4*i + 15*b + 25, 5*i - 7*b = 35. Let l(h) be the first derivative of 20 + 0*h**5 + 0*h + 2*h**2 - 2*h**4 + 2/3*h**6 + i*h**3. Factor l(v).
4*v*(v - 1)**2*(v + 1)**2
Determine x, given that -453/5*x**2 + 73/2*x - 21/5 - 8/5*x**5 + 479/10*x**3 - 12/5*x**4 = 0.
-7, 1/4, 2, 3
Suppose -k - 3*m = -99, -9069*k = -9074*k - 2*m + 378. Factor 55296 + k*f**2 - 1/2*f**3 - 3456*f.
-(f - 48)**3/2
Solve 132*z**2 - 748 + 72 + 4*z**3 - 480 + 1020*z = 0.
-17, 1
Let h(r) be the second derivative of -2/5*r**5 - 2*r**2 - 1/42*r**7 - 1/6*r**4 + 1/5*r**6 + 3/2*r**3 + 49*r + 0. Factor h(i).
-(i - 4)*(i - 1)**3*(i + 1)
Let l = 31/72 - 37/99. Let b = 555/88 - l. Suppose -1/4*i**2 - 5/2*i - b = 0. Calculate i.
-5
Let t(v) = 2*v**2 + 21*v + 4. Let d be t(-12). Factor 4*u**5 + d*u + 44*u**2 + 20*u**3 - 20*u**4 + 8*u**2 - 32*u**3.
4*u*(u - 5)*(u - 2)*(u + 1)**2
Suppose -42*l + 92*l - 48*l = 6. Let f(q) be the second derivative of 3*q**l + 2*q**2 - 9/10*q**5 - 1/3*q**4 + 0 - 11*q. Factor f(n).
-2*(n - 1)*(n + 1)*(9*n + 2)
Let a(d) be the third deri