*4 + 0*u - 16/3*u**3 + 3/10*u**5 + 0 - 1/60*u**6. Factor z(j).
-2*(j - 8)*(j - 2)*(j + 1)
Find s, given that 3*s**4 - 18*s - 21*s**3 - 6853*s**5 - 12*s**2 + 6856*s**5 - 27*s**2 = 0.
-2, -1, 0, 3
Let p(r) = 14*r**2 + 41*r + 25. Let t(g) = 343 - 16*g**2 - 40*g - 733 + 364. Let m(j) = -5*p(j) - 4*t(j). Factor m(o).
-3*(o + 7)*(2*o + 1)
Let v(h) be the third derivative of 2/7*h**3 - 1 + 37*h**2 + 0*h - 1/210*h**5 + 1/84*h**4. Let v(n) = 0. What is n?
-2, 3
Factor 589/2*n - 295 + 1/2*n**2.
(n - 1)*(n + 590)/2
Let m(y) be the second derivative of -y**4/4 + 23*y**3/3 - 15*y**2/2 - 525*y. Factor m(f).
-(f - 15)*(3*f - 1)
Let z = 1034/1185 + -112/237. Let x(u) be the first derivative of -1/20*u**4 - z*u + 1/10*u**2 - 30 + 1/5*u**3 - 1/25*u**5. Factor x(s).
-(s - 1)**2*(s + 1)*(s + 2)/5
Determine w, given that -1042 - 17*w**2 + 5844 + 63*w**2 + 46*w**2 + 4998*w + 106*w**2 + 2*w**3 = 0.
-49, -1
Let t(m) = 8*m**5 + m**4 + m - 2. Let l(f) = 49*f**5 - 6*f**4 + 14*f**3 + 124*f**2 + 159*f + 44. Let n(d) = l(d) - 6*t(d). Factor n(v).
(v - 8)*(v - 7)*(v + 1)**3
Factor 1/11*p**5 + 28/11*p**2 + 8/11*p**4 + 2*p**3 + 17/11*p + 4/11.
(p + 1)**4*(p + 4)/11
Let i(s) be the third derivative of s**8/3360 - s**7/180 + 2*s**6/45 - s**5/5 + 17*s**4/8 + 55*s**2. Let f(j) be the second derivative of i(j). Factor f(t).
2*(t - 3)*(t - 2)**2
Let d = -413416 - -2067084/5. Factor d*b + 2/15*b**2 + 2/3.
2*(b + 1)*(b + 5)/15
Let m(s) = 88 + 6*s**2 - s**2 + 44*s - 9*s**2. Let a(z) = z**2 + z. Let b(c) = -8*a(c) - m(c). Solve b(p) = 0.
-11, -2
Let w(j) be the third derivative of j**7/42 - 7*j**6/8 + 137*j**5/12 - 465*j**4/8 + 135*j**3 - j**2 - j - 24. Factor w(b).
5*(b - 9)**2*(b - 2)*(b - 1)
Solve 1875*f - 3/4*f**2 - 7497/4 = 0.
1, 2499
Let k(y) be the third derivative of y**9/18144 - y**8/3360 + 109*y**3/6 + 10*y**2 + 2*y. Let d(x) be the first derivative of k(x). Factor d(g).
g**4*(g - 3)/6
Let l = -318/71 - -8829/497. Solve -198/7*h**3 - 24/7*h**5 + 0 - l*h**2 - 15/7*h - 156/7*h**4 = 0.
-5, -1/2, 0
Let -1/4*c**2 + 17/4*c + 289/2 = 0. Calculate c.
-17, 34
Let i(d) = d**3 - 9*d**2 - 3*d + 27. Let f be i(9). Let y be (5 + -3 + 1)*(-12)/(-18). Factor -1/6*q**y + 1/6 + f*q.
-(q - 1)*(q + 1)/6
Let a = -6539687/4 + 1634924. Solve a*m**2 + 5/2*m + 1/4 = 0.
-1, -1/9
Let g = 210/29 + -25171/3480. Let z(t) be the second derivative of -g*t**6 + 2*t + 1/48*t**4 + 1/24*t**3 - 1/80*t**5 + 0 + 0*t**2. Suppose z(r) = 0. What is r?
-1, 0, 1
Factor -136/5*a**3 + 152/5*a**2 - 1/5*a**5 - 208/5 + 31/5*a**4 + 112/5*a.
-(a - 26)*(a - 2)**3*(a + 1)/5
Let p = -14 - -13. Let a be (7 + -4)*p*-1. Factor 0*j**3 - 2*j**4 - 4*j**a + 34 - 34.
-2*j**3*(j + 2)
Let o(l) be the second derivative of 5*l**7/42 + 167*l**6/6 + 2391*l**5 + 84240*l**4 + 699840*l**3 + 2361960*l**2 + 9567*l. Factor o(g).
5*(g + 2)*(g + 3)*(g + 54)**3
Let q = 130740 + -392219/3. Determine z, given that -48 - q*z**2 + 8*z = 0.
12
Let y be (-6 - (11 - 26))/((-57)/(-133)). Determine n so that -y*n**3 + 3/2*n**5 - 18*n**2 + 0 + 39/2*n + 18*n**4 = 0.
-13, -1, 0, 1
Let p(w) be the third derivative of -w**9/30240 + w**8/2016 - w**7/420 + w**5/20 + w**4/24 - 210*w**2. Let h(d) be the third derivative of p(d). Factor h(f).
-2*f*(f - 3)*(f - 2)
Let w(t) be the second derivative of -t**6/1980 + t**5/33 - 19*t**4/132 + t**3/3 + 37*t**2 - 3*t - 16. Let o(x) be the second derivative of w(x). Factor o(r).
-2*(r - 19)*(r - 1)/11
Factor -16568 - 4*n**2 + 5501 + 5524 - 32*n + 5495.
-4*(n + 2)*(n + 6)
Let r(v) be the first derivative of -1/18*v**4 + 106/9*v**3 - 2809/3*v**2 + 297754/9*v + 168. Solve r(l) = 0.
53
Let k(z) be the third derivative of 5/2016*z**8 + 0*z**5 + 120*z**2 + 0*z**4 + 0*z**3 + 1/126*z**7 + 1/144*z**6 + 0 + 0*z. Determine i so that k(i) = 0.
-1, 0
Let x be (6 - 5) + (3/3 - 0). Factor 18*y - 35*y**4 - 30*y**3 - 63*y**x + 102*y + 300 + 32*y**4.
-3*(y - 2)*(y + 2)*(y + 5)**2
Solve -1/3*p**2 - 37/6*p - 25 = 0 for p.
-25/2, -6
Determine r so that 42*r + 13*r**2 - 3*r**2 - r**2 - 174 + 207 = 0.
-11/3, -1
Let x(z) be the second derivative of -55*z + 14/5*z**5 - 8/15*z**6 - 73/12*z**4 + 7*z**3 + 0 - 9/2*z**2. Let x(j) = 0. Calculate j.
3/4, 1
Let k(h) be the first derivative of 5*h**4/2 - 385*h**3/3 - 1225*h**2/2 - 830*h + 3107. What is c in k(c) = 0?
-2, -1, 83/2
Let z(w) be the second derivative of w**5/120 + 5*w**4/72 - 14*w**3/9 - 5*w**2 - 7*w - 62. Factor z(b).
(b - 6)*(b + 1)*(b + 10)/6
Let u(t) be the second derivative of -7/27*t**3 + 4/3*t**2 + 1/108*t**4 - 2 - 24*t. Factor u(k).
(k - 12)*(k - 2)/9
Let b be (-10 - (-2 + 1) - -4)*44/(-330). Suppose b*q**2 + 0 + 4/3*q = 0. What is q?
-2, 0
Solve -16*f**2 + 14*f**4 + 2*f**2 + 42*f**5 - 23*f**5 + 23*f**3 - 24*f - 18*f**5 = 0 for f.
-12, -2, -1, 0, 1
Let s(n) be the first derivative of -4/3*n**3 - 181 + 4/5*n**5 - 4*n**4 + 0*n + 8*n**2. Factor s(h).
4*h*(h - 4)*(h - 1)*(h + 1)
Suppose -2072*m + 1044*m = -1054*m + 52. Let v(b) be the third derivative of 0*b + 1/150*b**5 + 16/15*b**3 - 2/15*b**4 + 0 - 23*b**m. Let v(o) = 0. What is o?
4
Suppose -4*d = -4*a + 1 + 7, -2*a + 22 = 4*d. Find u, given that -72 + 4*u**a - 12*u - 16*u**4 - 11*u**5 + 88*u**2 + 3*u**5 + 16*u**3 = 0.
-3, -1, 1, 2
Let k(c) = c**2 - 45*c + 300. Let r be k(8). Determine y, given that 4*y + 0 + 2/3*y**r - 14/3*y**2 + 0*y**3 = 0.
-3, 0, 1, 2
Factor 5/4*a**4 + 360*a**2 - 715/2*a + 475/4 - 245/2*a**3.
5*(a - 95)*(a - 1)**3/4
Let g(u) be the second derivative of -1/45*u**6 + 0*u**3 + u + 7/30*u**5 + 0*u**2 - 138 - 2/3*u**4. Let g(i) = 0. What is i?
0, 3, 4
Let x(o) be the first derivative of 0*o + 0*o**2 - 1/9*o**3 + 0*o**5 - 1/8*o**4 + 1/36*o**6 + 18. What is f in x(f) = 0?
-1, 0, 2
Suppose 21 = 8*b + 5. Let u = 26 + -23. Find t, given that u*t - 4*t**b + 8 + t + 0*t = 0.
-1, 2
Factor -29 + 84 - 4*x**2 + 78 - 92*x - 22 + 89.
-4*(x - 2)*(x + 25)
Let b(g) be the third derivative of 0*g**3 + 11/12*g**4 - 15*g**2 - g + 0 + 1/30*g**6 - 23/30*g**5. Factor b(d).
2*d*(d - 11)*(2*d - 1)
Let w(n) = -4*n**2 + 4*n - 3. Let g(a) = 3*a**2 - 4*a + 3. Suppose 14*m = 23*m - 27. Let v(d) = m*g(d) + 2*w(d). Suppose v(o) = 0. What is o?
1, 3
Let r(u) = 83*u + 735. Let d(s) = -89*s - 733. Let o(n) = 5*d(n) + 6*r(n). Let z be o(-14). Find m, given that 0*m + 0 - 1/9*m**z + 2/3*m**2 = 0.
0, 6
Factor 0 + 0*i - 2/9*i**4 + 292/9*i**3 + 98/3*i**2.
-2*i**2*(i - 147)*(i + 1)/9
Let r be 3196/846 + (-2)/(-9). Determine x, given that 1179*x**2 - 4*x**4 + r*x**3 - 60*x**3 - 1275*x**2 = 0.
-12, -2, 0
Let u(g) be the second derivative of g**4/4 - 601*g**3 + 1121*g + 2. Factor u(a).
3*a*(a - 1202)
Let z(j) be the second derivative of -j**3/3 - 19*j**2/2 + 16*j. Let m be z(-11). Factor 4/3*y**4 - 16/3*y + 32/3 + 4/3*y**m - 8*y**2.
4*(y - 2)*(y - 1)*(y + 2)**2/3
Let w = -15755 + 15756. Let t(p) be the first derivative of -w + 1/3*p**3 + p - 1/24*p**4 - 11/12*p**2. Factor t(y).
-(y - 3)*(y - 2)*(y - 1)/6
Let q(f) = 45*f**3 + 204*f**2 + 369*f + 3. Let p(a) = 39*a**3 + 203*a**2 + 366*a + 2. Let v(j) = -3*p(j) + 2*q(j). Find o such that v(o) = 0.
-40/9, -3, 0
Let s(g) be the third derivative of -g**5/120 + 7*g**4/6 - 55*g**3/12 - 1675*g**2. Factor s(o).
-(o - 55)*(o - 1)/2
Let t(i) be the first derivative of -i**6/4 + 3*i**5 - 39*i**4/4 - 8*i**3 + 369*i**2/4 - 135*i + 12860. What is z in t(z) = 0?
-2, 1, 3, 5
Let d be ((-12)/2*(-12 - 1))/((-30)/(-8)). Solve d*w + 64/5 + 12/5*w**2 = 0 for w.
-8, -2/3
Let i(z) be the second derivative of -2*z**2 + 3/80*z**5 - 6*z + 13 + 29/48*z**4 + 19/12*z**3. Factor i(u).
(u + 2)*(u + 8)*(3*u - 1)/4
Let m(x) = 2*x**3 - x**2 + 3*x + 1. Let g(t) = -12*t**3 - 4*t**2 - 18*t - 1. Let n(k) = -3*g(k) - 15*m(k). Factor n(l).
3*(l + 1)*(l + 4)*(2*l - 1)
Let x(r) = -17*r**4 - 35*r**3 + 9*r**2 - 5*r + 8. Let a(u) = 23*u**4 + 47*u**3 - 12*u**2 + 8*u - 11. Let h(v) = -8*a(v) - 11*x(v). Let h(c) = 0. What is c?
-3, -1, 0, 1
Let a be (-2)/(-48)*(-322)/(-4025). Let i(p) be the third derivative of -9*p**2 - a*p**5 + 0*p + 0*p**3 + 1/120*p**4 + 0. Determine y so that i(y) = 0.
0, 1
Let d(m) be the first derivative of 5/6*m**6 - 80/3*m**3 + 6*m**5 - 160*m - 142 - 120*m**2 + 10*m**4. What is n in d(n) = 0?
-2, 2
Let i = -230258 + 691720/3. What is y in 446/3*y**3 + 72 - 254*y**2 - 96*y + i*y**4 + 242/3*y**5 = 0?
-3, -1, 6/11
Let w be (3 - (-413)/7) + 0/