5/3*x**4. Factor a(j).
4*j*(5*j - 2)
Let z(d) be the first derivative of d**7/1400 - 3*d**5/200 - d**4/20 - 286*d**3/3 - 267. Let c(t) be the third derivative of z(t). Factor c(n).
3*(n - 2)*(n + 1)**2/5
Let o(r) = 2*r**2 - 21*r + 12. Let g be o(10). Determine k, given that -30 - 12 - 27*k**2 + 15*k - 22*k**2 + 74*k**g - 22*k**2 = 0.
-7, 2
Let i(k) = 18*k + 4*k**2 - 58 - 11 - 7*k**2 - k**2 + k**3. Let o be i(4). Factor 0 + 2/11*v**4 + 0*v**o - 2/11*v**2 + 0*v.
2*v**2*(v - 1)*(v + 1)/11
Let s(o) be the second derivative of -o**4/42 + 964*o**3/21 - 232324*o**2/7 + 106*o + 1. Factor s(b).
-2*(b - 482)**2/7
Let 64/5*d + 228/5 - 4/5*d**2 = 0. Calculate d.
-3, 19
Let o(y) be the second derivative of y**10/75600 - y**9/4200 - y**8/1680 - 25*y**4/4 + y**2/2 + 145*y. Let c(u) be the third derivative of o(u). Factor c(k).
2*k**3*(k - 10)*(k + 1)/5
Let p = -12824 - -12824. Let n(l) be the second derivative of 2/3*l**4 - 1/10*l**5 + p*l**2 - 12*l + 0 + 0*l**3. Factor n(m).
-2*m**2*(m - 4)
Let d(f) = f**2 + 165*f + 6598. Let y be d(-97). Determine l, given that -34*l + 6 + 62/3*l**y - 10/3*l**3 = 0.
1/5, 3
Let m(i) = 7*i**2 - 94*i - 2. Let q(x) = -16*x**2 + 181*x + 5. Let u(s) = 5*m(s) + 2*q(s). What is n in u(n) = 0?
0, 36
Let h(w) = -7*w**3 - 622*w**2 + 46200*w - 90027. Let p(o) = 3*o**3 + 310*o**2 - 23100*o + 45012. Let k(y) = 4*h(y) + 9*p(y). Factor k(t).
-(t - 150)**2*(t - 2)
Let x(b) = b**2 + 27*b + 76. Let o be x(-24). Let f be ((-5)/o)/(13/((-52)/10)). Find c such that -1/4*c**4 + f*c**2 - 1/4 - 1/4*c**5 - 1/4*c + 1/2*c**3 = 0.
-1, 1
Suppose 0*x - 2*x = -5*p + 204, -4*p + 5*x = -170. Suppose -5*q + 2*i = -p, -5*q = -6*q - 2*i + 8. Factor 10*w**5 - 13*w**5 - q*w**4 + 7*w**5 + 4*w**3.
4*w**3*(w - 1)**2
Let o(j) be the third derivative of 2*j**7/315 + 17*j**6/45 + 253*j**5/45 - 34*j**4 + 72*j**3 + 993*j**2. Factor o(g).
4*(g - 1)**2*(g + 18)**2/3
Let u(d) be the third derivative of d**8/2352 - d**7/105 + d**6/28 + 2*d**5/21 - 71*d**4/168 - 11*d**3/7 + 664*d**2. Find g such that u(g) = 0.
-1, 2, 3, 11
Let z be 7 + -8 + -2 + 15. Suppose 20*y = 17*y + z. Factor 6 - 18*i + 3*i**2 - 5*i + 0*i**2 + y*i**2.
(i - 3)*(7*i - 2)
Let h(i) be the first derivative of -8/3*i**3 - 2*i**2 - 17 - 1/5*i**5 - 5/4*i**4 + 0*i. Find y such that h(y) = 0.
-2, -1, 0
Let r(t) = 2*t - 29. Suppose 0*k - 4*x = -2*k + 20, 0 = -x + 3. Let p be r(k). Factor -2*a**5 + p*a + 10*a**4 + 2*a - 3*a**5 - 10*a**2.
-5*a*(a - 1)**3*(a + 1)
Suppose 20*r - 48 = 14*r. Suppose -a + r*i - 3*i + 12 = 0, i = -2. Solve 9*b**2 - 4*b**2 + b**a - 2*b**2 - 4*b = 0.
0, 1
Let h(g) be the first derivative of 42 - 3/25*g**5 + 0*g + 0*g**4 + 0*g**2 + 0*g**3. Factor h(s).
-3*s**4/5
Let f(u) = -u**3 + 10*u**2 + 2. Let q be f(10). Let v be q/2*6/2. Factor 2*b + 4*b**4 - 5*b**4 + 0*b**4 + 5*b**2 + v*b**3 - b**5.
-b*(b - 2)*(b + 1)**3
Suppose 2 = 5*o - 8. Factor 71*s**2 - 24*s**3 - 30*s + 1 + 12*s**o - 19 - 19*s**2.
-2*(2*s - 3)**2*(3*s + 1)
Suppose 4 + 45 = -7*y. Let v be 6/(-2) + 42/y + 11. Factor -10/11*z + 2/11*z**v + 8/11.
2*(z - 4)*(z - 1)/11
Let u be (-5439)/1332 + 136/32. Factor -u*w**2 + 5*w - 75/2.
-(w - 15)**2/6
Let g be ((-19)/(-9) + -1)/((2250/(-36))/(-25)). Factor -98/9*z**4 + g*z - 58/9*z**2 + 224/9*z**3 + 0.
-2*z*(z - 2)*(7*z - 1)**2/9
Let b(t) be the second derivative of t**4/24 - 3*t**3/4 - 35*t**2/2 + 871*t. Suppose b(q) = 0. Calculate q.
-5, 14
Factor 1/6*d**3 - 35 + 241/6*d - 16/3*d**2.
(d - 21)*(d - 10)*(d - 1)/6
Let k(n) be the third derivative of -n**6/90 - 23*n**5/660 - n**4/22 + 43*n**3/6 + 4*n**2 + 13. Let i(x) be the first derivative of k(x). Factor i(y).
-2*(2*y + 1)*(11*y + 6)/11
Let w be -1 + 72/20 - (-12)/30. Suppose -5*b + 6 = -w*h, 3*b + 8 = b - 4*h. Determine u so that 0*u**2 + b + 0*u + 0*u**3 + 1/2*u**4 = 0.
0
Factor -y + 1/4*y**3 + 100 - 25*y**2.
(y - 100)*(y - 2)*(y + 2)/4
Let b be 638/69 - ((-2)/11)/((-1334)/(-638)*1). Solve 0 - 1/3*r**2 - b*r = 0 for r.
-28, 0
Let j be 3 + 0 - (-6)/(-2). Let x be (944/(-531))/(60/(-54)). Suppose -2/5*l**2 + j + x*l = 0. What is l?
0, 4
Let l(t) be the second derivative of t**6/15 - 3*t**5/2 + 29*t**4/3 - 28*t**3 + 40*t**2 + 4*t - 129. Factor l(i).
2*(i - 10)*(i - 2)**2*(i - 1)
Let w(r) be the third derivative of 5*r**8/112 + 43*r**7/70 + 61*r**6/20 + 31*r**5/5 + r**4 - 16*r**3 + 1120*r**2. Solve w(t) = 0 for t.
-4, -2, -1, 2/5
Suppose 41/4*r**2 + 1/8*r**4 + 0 + 0*r - 43/8*r**3 = 0. Calculate r.
0, 2, 41
Let y(i) = -303*i**2 - 4032*i - 15762. Let k(r) = -56*r**2 - 733*r - 2866. Let t(u) = -27*k(u) + 5*y(u). Factor t(m).
-3*(m + 4)*(m + 119)
Let d(v) = 10*v**2 + 25*v + 40. Let m(i) be the third derivative of i**5/60 + i**4/24 - i**2 + 13. Let h(u) = -d(u) + 15*m(u). Let h(g) = 0. Calculate g.
-2, 4
Suppose -20*j = -14*j - 1980. Let a = -326 + j. Suppose -7/6*d**2 + 1/2*d**3 - 1/2*d + 1/3 + 5/6*d**a = 0. What is d?
-1, 2/5, 1
Let q be (6/9 + 0)*107940/(-28720). Let m = -2/359 - q. Factor -m*p**3 - 45/2*p + 15*p**2 + 10.
-5*(p - 4)*(p - 1)**2/2
Suppose 7 = -3*u - 2. Let v be u - 31275/30*20/(-6). Factor v - 3472 + 4*n**3 + 12*n + 16*n**2.
4*n*(n + 1)*(n + 3)
Let q(k) be the third derivative of -k**5/150 + k**4/24 + 3*k**3/5 + 12*k**2 + 3*k - 2. Factor q(r).
-(r + 2)*(2*r - 9)/5
Let h = -138 - -168. Determine o so that 48*o**5 - 21*o**5 - 57*o - 6*o**2 + h + 60*o**3 - 24*o**4 - 30*o**5 = 0.
-10, -1, 1
Let g(m) be the second derivative of 381*m**5/80 + 2793*m**4/16 + 15345*m**3/8 - 363*m**2/8 - 27*m - 184. Factor g(w).
3*(w + 11)**2*(127*w - 1)/4
Let r(u) be the second derivative of -u**7/504 + u**6/16 - 7*u**5/12 - 65*u**4/4 + 43*u - 2. Let b(n) be the third derivative of r(n). Factor b(k).
-5*(k - 7)*(k - 2)
Let c = 96871 + -96871. Solve c*x**3 + 0 + 6/5*x - 7/5*x**2 + 1/5*x**4 = 0.
-3, 0, 1, 2
Suppose -2*o + 73 = 2*o - 3*z, 25 = o - 3*z. Determine c so that 18*c**4 + 7*c + 14*c**2 + 4*c**3 - o*c**4 + c - 4*c**4 = 0.
-1, 0, 4
Let w be 26562/5*18/54. Let r = -1770 + w. Determine m so that 4 + 12/5*m**2 + r*m**3 - 36/5*m = 0.
-5, 1
Factor 49*a**2 + 5*a**4 - 8*a**3 + 20*a - 12*a**3 - 51*a**2 - 3*a**4.
2*a*(a - 10)*(a - 1)*(a + 1)
Let v(s) be the first derivative of -85 - 3/22*s**4 - 6/55*s**5 + 0*s**2 + 0*s - 2/33*s**3 - 1/33*s**6. Find b such that v(b) = 0.
-1, 0
Factor -70/3 + x**3 - 33*x - 26/3*x**2.
(x + 1)*(x + 2)*(3*x - 35)/3
Suppose -4*s = 3*d - 5, -3*d + 27 = -5*s + 13. Let o(f) be the third derivative of 11*f**2 + 0 + 1/18*f**d - 1/540*f**5 + 0*f - 1/108*f**4. Factor o(t).
-(t - 1)*(t + 3)/9
Let r be (-110)/(-44) - (-318)/(-135). Let u(o) be the second derivative of -r*o**4 - 1/150*o**5 - 12/5*o**2 + 10*o + 0 - 16/15*o**3. Factor u(t).
-2*(t + 1)*(t + 6)**2/15
Let t(a) be the third derivative of -a**6/660 + 229*a**5/330 - 290*a**4/3 - 13456*a**3/11 - 7286*a**2. Factor t(v).
-2*(v - 116)**2*(v + 3)/11
Suppose 4*i + 225 = 33*c - 36*c, 2*c + 4*i + 150 = 0. Let u be (-88)/(-60) - (-60)/c. Solve 0 - u*m - 1/3*m**2 = 0.
-2, 0
Let g be (-108)/(-1566) + 168/87. Factor -4704/5*s - 2/5*s**3 - 43904/5 - 168/5*s**g.
-2*(s + 28)**3/5
Solve 0 - 255/2*u**3 - 756*u - 9/2*u**4 + 1221*u**2 = 0 for u.
-36, 0, 2/3, 7
Let t(f) be the third derivative of -2*f**7/35 + f**6/40 + 9*f**5/5 - 9*f**4/8 + 2*f**2 + 755*f. Factor t(b).
-3*b*(b - 3)*(b + 3)*(4*b - 1)
Let r(l) be the third derivative of -l**5/12 + 1555*l**4/4 - 1450815*l**3/2 + 305*l**2 + 3. Find s such that r(s) = 0.
933
Suppose 0 = -4*y - m + 6, -4*m = 7053*y - 7052*y + 36. Find t such that -16/5 + 2/5*t**3 + 34/5*t - y*t**2 = 0.
1, 8
Suppose 22*c = 17*c - 4*m - 195, -c - 3*m = 50. Let l be (4/10)/(c/(-175)). Factor -4/3 - 2/3*z**3 + 0*z**2 + l*z.
-2*(z - 1)**2*(z + 2)/3
Let b(j) = -j**3 + 9*j**2 + 16*j - 48. Let x be b(8). Factor 60*i**2 - x*i**3 + 27*i**4 - 32*i**4 + 124*i**3.
-5*i**2*(i - 2)*(i + 6)
Let n(t) be the second derivative of 1/10*t**6 + 9*t + 0*t**3 + 9/20*t**5 + 1/2*t**4 + 0*t**2 - 1. Find c such that n(c) = 0.
-2, -1, 0
Suppose -h - 2*w = -2, -18*w + 13*w = 5. Let v(q) be the second derivative of -q**3 - 2*q**2 + 0 - 1/6*q**h - 4*q. Find d, given that v(d) = 0.
-2, -1
Let x(u) be the third derivative of u**8/2240 - u**7/84 + 3*u**6/80 + 35*u**4/4 + u**2 - 38. Let s(y) be the second derivative of x(y). Factor s(j).
3*j*(j - 9)*(j - 1)
Let w be (49/10 - 2/(-4)) + 1094/(-2735). Let s(