 - 112*b - 69. Let l(k) = -3*u(k) + 20*v(k). Factor l(n).
-5*(n - 12)*(n + 1)**2
Let l(s) be the first derivative of -6*s**5/25 + 77*s**4/10 - 72*s**3 + 432*s**2/5 + 3456*s/5 + 3848. What is y in l(y) = 0?
-4/3, 3, 12
What is h in -4*h**2 - 283 + 98 + 11247*h - 11359*h - 199 = 0?
-24, -4
Let p(x) = -5*x**2 - 1881*x - 438048. Let y(i) = 36*i**2 + 13170*i + 3066336. Let j(q) = -44*p(q) - 6*y(q). Factor j(n).
4*(n + 468)**2
Let o = -137063/9 - -15212. Let d = 319/18 + o. Factor 2/3*t**2 - 1/6*t**3 + 0 - d*t.
-t*(t - 3)*(t - 1)/6
Suppose 0 = 4*i + 5*r - 34, -2*i = -0*i + 2*r - 16. Let s be 15 - i - 34/4. Factor s*o**3 - 1/2*o - 1/2*o**2 + 1/2*o**4 + 0.
o*(o - 1)*(o + 1)**2/2
Factor -86/3*n + 0 + 1/3*n**2.
n*(n - 86)/3
Let n(t) be the second derivative of t**6/105 + 23*t**5/35 + 191*t**4/14 + 1012*t**3/21 + 484*t**2/7 + 53*t - 5. Factor n(s).
2*(s + 1)**2*(s + 22)**2/7
Suppose y - 64 = -4*b, -3*b + 364 = 5*y + 61. Factor -y + 30 - 2*v**2 - 2*v**2 - 48*v - 14.
-4*(v + 1)*(v + 11)
Let c be (-14)/(-35) - 223/(-5). Suppose 0 = 4*l + 5*b, 2*b - c = -5*l + 7*b. Factor -h**4 + 7*h**4 - 20*h**3 - 4*h**5 - h**l + 14*h**4.
-5*h**3*(h - 2)**2
Let l(h) be the first derivative of -h**6/6 - 21*h**5/5 - 57*h**4/4 - 55*h**3/3 - 9*h**2 + 1337. Factor l(g).
-g*(g + 1)**3*(g + 18)
Let r be (-8)/(-64)*8 + 1 + 18. Factor -99 + 23*i - 8*i**3 + 99 - 11*i + r*i**2.
-4*i*(i - 3)*(2*i + 1)
Suppose 96 = 429*m - 397*m. Let h be 8/(-1)*(-3)/2. Let 5*w**2 + m*w**2 - 6 - 8*w + 2*w**2 - h*w**2 = 0. What is w?
-3, -1
Suppose 0 = -6*z - 5 + 17 - 0. Let f(g) be the second derivative of 1/9*g**3 - 5*g - 1/72*g**4 + 0*g**z + 0. Factor f(p).
-p*(p - 4)/6
Factor 8/9*w + 442/9*w**2 + 0.
2*w*(221*w + 4)/9
Let b(v) = -12*v**2 - 2880*v - 2900. Let u(l) = -4*l**2 - 961*l - 967. Let o(j) = -5*b(j) + 16*u(j). Determine c, given that o(c) = 0.
-243, -1
Let f(z) be the third derivative of z**7/42 - 2*z**6/15 - 11*z**5/30 + z**4 + z**3/6 - z**2 + 8. Let i(v) be the first derivative of f(v). Factor i(o).
4*(o - 3)*(o + 1)*(5*o - 2)
Let c be (-28)/(-45) + (920/90)/23. Let z be (2/(-3))/((-2)/6). Let -c*x - 2/15*x**z - 14/15 = 0. What is x?
-7, -1
Factor 131*u**2 + 0 + 263/2*u - 1/2*u**3.
-u*(u - 263)*(u + 1)/2
Let o(n) be the first derivative of -5/4*n**4 + 45*n - 81 - 75/2*n**2 + 35/3*n**3. Factor o(i).
-5*(i - 3)**2*(i - 1)
Let q(j) be the first derivative of 1/12*j**4 + 4/3*j**3 + 108 + 8*j**2 + 64/3*j. Factor q(t).
(t + 4)**3/3
Suppose 3*b - 202 = 158. Suppose 3*n = -3*n + b. Factor -n*a**2 - 19*a + 2 - 2 + 4*a.
-5*a*(4*a + 3)
Suppose -5*b - 4*c = -60, 65*b = 67*b - 4*c + 4. Let q be b/32*(22/14 + 3). Solve q*p**2 - 10/7*p - 2/7*p**3 + 4/7 = 0.
1, 2
Let u(f) be the third derivative of -f**7/840 - 1499*f**6/240 - 24975*f**5/2 - 166666167*f**4/16 - 332334333*f**3/8 + f**2 + 6*f - 99. Factor u(o).
-(o + 1)*(o + 999)**3/4
Let u(l) be the second derivative of -55*l + 0*l**2 + 0*l**3 - 1/84*l**7 + 1/40*l**5 + 1/6*l**4 - 1/15*l**6 + 0. Suppose u(i) = 0. What is i?
-4, -1, 0, 1
Let c(i) be the second derivative of i**5/80 - 47*i**4/16 - i**3/24 + 141*i**2/8 + 43*i + 19. Solve c(r) = 0.
-1, 1, 141
Suppose m - 4*g + 4 = 5*m, 0 = -5*m + 4*g + 14. Let p = -3283/2 - -1642. Factor p*f**m + 0*f - 2.
(f - 2)*(f + 2)/2
Let z = -4721 + 4721. Let p(j) be the first derivative of 0*j**2 - 4/25*j**4 - 2/125*j**5 - 32/75*j**3 + z*j - 31. Factor p(o).
-2*o**2*(o + 4)**2/25
Let a(d) be the third derivative of -d**5/60 - 773*d**4/12 - 515*d**3/2 + 17*d**2 - 2*d - 4. Factor a(i).
-(i + 1)*(i + 1545)
Let 4*a + 3*a**2 + 1/2*a**3 + 0 = 0. What is a?
-4, -2, 0
Suppose -15*i = 5*k + 61234 - 61284, 0 = -i - k + 4. Solve 2/3 - 17/3*a - 13/3*a**i + 28/3*a**2 = 0 for a.
2/13, 1
Let o(v) be the third derivative of -v**8/336 + 2*v**7 + 423*v**6/40 - 252*v**2 - 2*v - 4. Find k, given that o(k) = 0.
-3, 0, 423
Let z = 71278 - 356387/5. Factor 1/10 + 7/10*c + z*c**2.
(c + 1)*(6*c + 1)/10
Suppose -i + 54 = -i + 3*i. Let r(y) be the second derivative of 1/12*y**4 + 0 - 1/60*y**5 + 1/18*y**3 - 1/2*y**2 - i*y. Factor r(w).
-(w - 3)*(w - 1)*(w + 1)/3
Let t(a) = -a**2 + a. Let p(k) = 2*k**2 + 12*k + 7. Let m(h) = -p(h) - t(h). Let w be m(-11). Factor 1072*q**3 + 5 - 35*q**2 - w*q - 5 - 1092*q**3.
-5*q*(q + 1)*(4*q + 3)
Find w such that 4*w**4 + 0 + 14*w**3 + 45/4*w - 111/4*w**2 = 0.
-5, 0, 3/4
Let m(o) = -25*o**2 - 242*o + 234. Let w(p) = 17*p**2 + 240*p - 235. Let h(t) = 2*m(t) + 3*w(t). Factor h(n).
(n - 1)*(n + 237)
Let u(j) be the first derivative of j**3/4 - 969*j**2/4 - 972*j + 5168. Find o, given that u(o) = 0.
-2, 648
Let h(q) be the third derivative of 0 + q + 2*q**2 + 1/4*q**4 + 1/60*q**5 + 5/6*q**3. Factor h(m).
(m + 1)*(m + 5)
Let 1/2*d**2 + 47 - 49/2*d = 0. What is d?
2, 47
Let c = 58 + -67. Let m be (-6)/c + (-24)/(-18). Determine h, given that 2*h**5 - 8*h**4 + h**2 - 7*h**2 + 5*h**3 + 5*h**3 + 2*h**m = 0.
0, 1, 2
Factor -92*q - 15 + 2543*q**2 + 183 - 2539*q**2.
4*(q - 21)*(q - 2)
Let b = -2315 + 2319. Let j(q) be the first derivative of -2/9*q**3 + 0*q - 2/45*q**5 - 1/6*q**b + 8 - 1/9*q**2. Factor j(c).
-2*c*(c + 1)**3/9
Let z(k) be the second derivative of -k**4/12 - 4*k**3 - 72*k**2 - 3*k + 1. Factor z(q).
-(q + 12)**2
Let v(c) = c**2 + 3*c - 4. Let s be v(-8). Determine p, given that -8*p**3 + 8*p - 22*p**2 - 18*p**2 + s*p**2 - p**4 + 5*p**4 = 0.
-1, 0, 1, 2
Let d(z) = -z**4 - z**3 + z. Let a = 74 + -65. Let j(n) = 10*n**2 - n**3 - 6*n**2 + 2*n**3 + 11*n**4 + 3 - n - a. Let l(p) = -18*d(p) - 2*j(p). Factor l(f).
-4*(f - 3)*(f - 1)**2*(f + 1)
Suppose 0 = -v + 2*v - 4*v. Suppose -3*n = 5*c - 68, 5*c = -v*c + 20. Factor n*w**3 + 4*w**2 - 17*w**3 - 2*w**2.
-w**2*(w - 2)
Let w(q) = -2*q**3 + 184*q**2 - 27*q + 2487. Let g be w(92). Factor 5/3*t**4 + 10*t**2 - 40/3*t**g + 40/3*t - 35/3.
5*(t - 7)*(t - 1)**2*(t + 1)/3
Let j(g) be the second derivative of g**7/28 - 117*g**6/20 - 39*g**5/4 + 347*g**4/2 + 822*g**3 + 1416*g**2 - 3086*g. Determine p, given that j(p) = 0.
-2, -1, 4, 118
Let w(c) be the third derivative of 39*c**2 + 2/15*c**5 + 1/2*c**4 + c + 0 - 4/3*c**3. Factor w(f).
4*(f + 2)*(2*f - 1)
Let i(t) be the third derivative of 5*t**8/21 - 127*t**7/42 - 13*t**6 - 179*t**5/12 - 25*t**4/12 - 2067*t**2. Find l such that i(l) = 0.
-1, -1/16, 0, 10
Let b(j) = j**3 - 2*j**2 - 9*j + 7. Let n be b(4). Solve 6*s**2 - 6*s**2 + 10*s - 28*s + n*s**2 = 0 for s.
0, 6
Factor 110976/11*i + 35360/11*i**2 + 2/11*i**4 - 538/11*i**3 + 0.
2*i*(i - 136)**2*(i + 3)/11
Let g(m) be the third derivative of -2*m**7/105 - 967*m**6/30 - 15617*m**5 - 77763*m**4/2 - 4242*m**2. Factor g(z).
-4*z*(z + 1)*(z + 483)**2
Let z = -256766/5 + 1027089/20. Factor 8*m**2 + 5/2 + z*m**3 + 37/4*m.
(m + 1)*(m + 5)*(5*m + 2)/4
Let l(t) be the second derivative of 76 + t + 1/24*t**4 - 3/4*t**3 + 2*t**2. Factor l(m).
(m - 8)*(m - 1)/2
Let h(t) be the second derivative of -t**7/168 - t**6/40 + 19*t**5/80 + t**4/16 - 3*t**3/4 - 2*t - 1281. Suppose h(y) = 0. Calculate y.
-6, -1, 0, 1, 3
Let z be (-1329)/9 - (5 - -1). Let h = z - -154. Factor -4*p - 2*p**2 - h*p**3 - 8/3.
-(p + 2)**3/3
Let f = 7/226 - 307/13560. Let m(w) be the third derivative of 1/5*w**3 + f*w**4 - 31*w**2 - 1/300*w**5 + 0*w + 0. Factor m(a).
-(a - 3)*(a + 2)/5
Let d(o) = o - 1. Let b be d(3). What is i in -254*i - 128 + 4*i**2 + 256*i**3 + 0*i**b + 83*i**4 + 21*i**5 + 41*i**4 - 23*i**5 = 0?
-1, 1, 64
Let q = 70024 + -70019. Suppose 5/3*g**q - 10/3*g**3 + 10/3*g**4 + 10/3 + 5/3*g - 20/3*g**2 = 0. What is g?
-2, -1, 1
Let k be 394/6501*(-6)/(-4). Factor 1/11*i - 1/11 + k*i**2 - 1/11*i**3.
-(i - 1)**2*(i + 1)/11
Let z(b) be the third derivative of b**8/6720 - b**7/840 - b**6/720 + b**5/40 + 47*b**4/24 - 46*b**2. Let o(x) be the second derivative of z(x). Factor o(c).
(c - 3)*(c - 1)*(c + 1)
Let s(q) be the second derivative of 0 - 3*q + 1/20*q**4 + 2*q**3 + 30*q**2. Factor s(u).
3*(u + 10)**2/5
Let b(l) be the second derivative of -4/3*l**6 + 0*l**2 - 2 + 5/2*l**3 - 13/4*l**5 - 5/6*l**4 + 13*l. Factor b(c).
-5*c*(c + 1)**2*(8*c - 3)
Let m(t) be the third derivative of t**5/140 - 335*t**4/56 + 498*t**3/7 + 4854*t**2. Suppose m(y) = 0. Calculate y.
3, 332
Let x(o) = -23*o**3 - 274*o**2 + 22189*o - 12. Let w(z) = 2*z**3 - 2*z**2 + z + 1. Let s(p) = 12*w(p) + x(p). Suppose s(r) = 0. Calculate r.
0, 149
Let 