he third derivative of -c**6/160 - 259*c**5/240 + 175*c**4/96 + 29*c**3/8 - 13*c**2 + 102*c - 2. Factor f(u).
-(u - 1)*(u + 87)*(3*u + 1)/4
Suppose -1760 = -22*m + 6*m. Let n be (-12)/(-21) + m/(-315). Factor 2/3*l**2 - 4/9*l - n*l**4 + 0*l**3 + 0.
-2*l*(l - 1)**2*(l + 2)/9
Let d(h) = 6*h + 2. Let n be d(0). What is u in -3*u - 16 + 23*u**2 + 7*u - 11*u**n = 0?
-4/3, 1
Let d(b) = 89*b + 333. Let y be d(-14). Let f = 1321 + y. Find r such that 230*r**2 - f*r - 1/2*r**5 + 9*r**4 + 288 - 129/2*r**3 = 0.
3, 4
Suppose x - 3*w = 18, 0 = 8*x - 7*x + w + 2. Let o**2 + 70*o**3 + 45*o**5 + 150*o**4 + 39*o**2 + 70*o**x = 0. Calculate o.
-2, -2/3, 0
Let v(r) be the second derivative of r**6/180 - r**5/40 - r**4/18 + 362*r. Factor v(b).
b**2*(b - 4)*(b + 1)/6
Let -16 + 14/23*u**5 + 2326/23*u**2 - 1738/23*u**3 - 476/23*u + 242/23*u**4 = 0. What is u?
-23, -2/7, 1, 4
Let w(q) = q**3 - 4*q**2 + 3. Let g be w(5). Suppose -14*p + g = -28. Find o such that 5/3*o**2 - 5/3*o**p + 0 - 10/3*o + 10/3*o**3 = 0.
-1, 0, 1, 2
Factor 406/9*t + 404/9 + 2/9*t**2.
2*(t + 1)*(t + 202)/9
Let d(v) be the third derivative of -v**6/24 + 185*v**5/12 + 1865*v**4/24 + 935*v**3/6 - 6048*v**2. Suppose d(i) = 0. What is i?
-1, 187
Let a be 2/18 - (-304)/3420. Let n(i) be the first derivative of -3/2*i**4 + 18 + 1/6*i**6 + 5/2*i**2 + 2/3*i**3 + a*i**5 - 3*i. Factor n(j).
(j - 1)**3*(j + 1)*(j + 3)
Let z be (-43 + 1274/28)/(3/3). Factor 0 - z*l**2 - 1/2*l**3 - 3*l.
-l*(l + 2)*(l + 3)/2
Let 675/2 + 3/2*z**2 + 51*z = 0. What is z?
-25, -9
Let s(l) be the first derivative of -16*l - 2/3*l**3 - 6*l**2 - 6. Factor s(p).
-2*(p + 2)*(p + 4)
Suppose d = -3*p - 17, 3*p - d - 8 = 3*d. Let c be (0*(-2)/p)/(27 - 26). Suppose 2/7*b**3 + 0 + c*b - 2/7*b**2 = 0. What is b?
0, 1
Let u(x) = 839*x**2 - 263*x + 17. Suppose -3*d - 30 = -4*t + 1, 2*d - 36 = -3*t. Let c(g) = 2515*g**2 - 790*g + 50. Let n(s) = t*u(s) - 3*c(s). Factor n(r).
5*(13*r - 2)**2
Let v(p) be the third derivative of p**8/112 + 151*p**7/490 - 383*p**6/140 + 257*p**5/35 - 39*p**4/7 + 19*p**2 - 7*p - 20. Determine c, given that v(c) = 0.
-26, 0, 3/7, 2
Factor -1/2*j**3 + 21*j**2 - 39/2*j - 41.
-(j - 41)*(j - 2)*(j + 1)/2
Let i = -100705/42 - -34483/14. Solve 196/9*b**3 + 16/9*b**4 - 1204/9*b + i + 404/9*b**2 = 0.
-7, 3/4, 1
Suppose 2*a + 5 + 0 = -3*l, 3*a - 10 = -l. Let z(h) be the first derivative of -3*h + 0*h**3 - 2 + 4 + 4*h**3 - 3*h**2 - a*h**3. Find s such that z(s) = 0.
-1
Let x be (728/264)/1 - (-51)/(-561). Factor 40/3 - 10*m**2 - 4/3*m**3 - x*m + 2/3*m**4.
2*(m - 5)*(m - 1)*(m + 2)**2/3
Let p(b) be the third derivative of -b**7/1890 + 23*b**6/540 - b**5/12 + 2*b**2 + 181*b. Determine q, given that p(q) = 0.
0, 1, 45
Let k(d) be the third derivative of -d**6/540 - d**5/15 + 139*d**4/108 - 40*d**3/9 + 3066*d**2. Find i, given that k(i) = 0.
-24, 1, 5
Let k be (-4)/6*((-3)/30)/((-48)/(-270)). Determine c, given that 3/4 + 3/4*c**4 - 3/2*c**2 + 3/8*c + k*c**5 - 3/4*c**3 = 0.
-2, -1, 1
Let g be ((-9)/21)/((-3)/21). Suppose -3*o = -t + g*t - 13, -25 = -5*t. Determine h, given that -h**3 - 5*h**3 - 22*h + o + 11*h**2 + 16*h = 0.
1/3, 1/2, 1
Suppose 0 = 10*d + 129*d. Let x(p) be the first derivative of -2/15*p**3 + d*p + 1/5*p**2 - 27. Factor x(k).
-2*k*(k - 1)/5
Let x(b) be the second derivative of b**4 + 48*b**2 - 14*b**3 + 3/20*b**5 + 58 - 2*b. What is l in x(l) = 0?
-8, 2
Let z(n) be the third derivative of n**6/30 + 29*n**5/15 - 47*n**4/3 + 128*n**3/3 + n**2 - 228. Factor z(t).
4*(t - 2)*(t - 1)*(t + 32)
Solve -3135*i**2 + 3249*i + 2797/4*i**3 + 0 + 55/2*i**4 + 1/4*i**5 = 0.
-57, 0, 2
Let b be (15696/(-90))/(4/(-20)). Let a be 8/(-18) + b/981. Factor a*v**2 + 8/3*v + 0.
4*v*(v + 6)/9
Determine u, given that 212 - 4/3*u**2 - 200/3*u = 0.
-53, 3
Suppose 8 = -5*h + 2*y, -h - 2*y - 5 + 25 = 0. Determine o, given that -2/3*o**h - 2*o - 4/3 = 0.
-2, -1
Let f(x) be the second derivative of -487*x**4/36 - 161*x**3/6 + 2*x**2/3 - 18*x + 1. Factor f(k).
-(k + 1)*(487*k - 4)/3
Let a be 420/(-80) - (-15 + 0). Find h, given that 3/4*h**3 - 15/4*h**2 - 21/4 - a*h = 0.
-1, 7
Let h be (2 + -6)*(-24)/10. Suppose 29*x = 43*d - 39*d + 4, 2 = x - 2*d. Find j such that -144/5*j**3 - h*j**2 - 4/5*j + x = 0.
-1/6, 0
Factor 43182*u**3 + 5*u - 42975*u**3 - 73*u**2 + u.
u*(9*u - 2)*(23*u - 3)
Let x(m) be the first derivative of m**5/10 + 13*m**4/4 + 49*m**3/6 + 6*m**2 + 2604. Factor x(j).
j*(j + 1)**2*(j + 24)/2
Let s(r) be the third derivative of -r**7/70 - 11*r**6/40 - 21*r**5/10 - 17*r**4/2 - 20*r**3 + 1060*r**2. Determine p, given that s(p) = 0.
-5, -2
Let o be (((-144)/(-40))/(-9))/(4/(-790)). Let -170*n**3 - 2 + o*n**3 + 86*n**3 + 2 - 5*n**2 = 0. Calculate n.
-1, 0
Factor -134 - 295*j**2 + 835*j**2 - 1458*j - 78*j**3 - 2*j**4 + 5*j**4 + 1511.
3*(j - 17)*(j - 3)**3
Let a(b) be the third derivative of b**8/23520 + b**7/1764 + b**6/420 + 11*b**4/24 - 24*b**2. Let n(j) be the second derivative of a(j). Factor n(t).
2*t*(t + 2)*(t + 3)/7
Let t = 3566 + -1518. Let h be (t/72)/(-4 - 26/(-6)). Suppose -16*f**2 + 64*f - h + 4/3*f**3 = 0. What is f?
4
Suppose -26*w + 5*w = -294. Let 0 + 6*z - z**2 + 25 + w*z - 4*z**2 = 0. Calculate z.
-1, 5
Let x = -308 - -314. Suppose 5 = 9*o - 13. Solve -x*y - 9/5 - 9/5*y**o = 0 for y.
-3, -1/3
Let p(a) be the second derivative of -a**7/56 - 3*a**6/40 - 3*a**5/40 - 2907*a. Factor p(x).
-3*x**3*(x + 1)*(x + 2)/4
Factor -12*n + 1/3*n**4 + 34/3*n**2 - 35/3 + 12*n**3.
(n - 1)*(n + 1)**2*(n + 35)/3
Factor 72*g - 78 + 12*g**2 + 33*g - 10*g**2 + 538 - 3*g.
2*(g + 5)*(g + 46)
Let g(w) be the third derivative of -w**9/80640 + w**7/2240 + w**6/480 + w**5/60 - 7*w**4/4 - 47*w**2. Let s(x) be the third derivative of g(x). Factor s(a).
-3*(a - 2)*(a + 1)**2/4
Solve 1815*j**2 + 20*j**4 + 468*j**3 + 889*j**2 + 555*j + 453*j = 0.
-14, -9, -2/5, 0
Let c = 8/413255 - -29670055876/5372315. Let w = c + -5520. Suppose w*k**2 + 12/13 - 62/13*k = 0. What is k?
2/9, 3/2
Let j(c) = 31*c**2 + 84*c. Let o(g) = 47*g**2 + 124*g. Let r(n) = 7*j(n) - 5*o(n). Find l, given that r(l) = 0.
-16/9, 0
Solve -13/4*q - 1/6*q**2 + 1/12*q**3 - 6 = 0.
-3, 8
Suppose d + 1 = -0, 19 = 4*n + 5*d. Let v be -2 + 2 + (-3 - n)/(-3). Find f, given that -60*f - 24 + 26*f**2 - 7*f**v - 3*f**4 - 14*f**3 - 6*f**2 - 74*f**2 = 0.
-2, -1
Let n(d) be the first derivative of 2*d**6/3 + 40*d**5 + 504*d**4 - 6623. Factor n(z).
4*z**3*(z + 14)*(z + 36)
Let o(b) be the third derivative of 11*b**8/151200 + b**7/2520 + b**6/1350 + b**5/5 - 76*b**2 + 2*b. Let h(v) be the third derivative of o(v). Factor h(l).
2*(l + 1)*(11*l + 4)/15
Let i be (-44 - (-3689)/85)*366/(-9). Factor -18/5*z**2 + i*z + 28/5.
-2*(z - 7)*(9*z + 2)/5
Let q(i) be the first derivative of -i**5/15 - 3*i**4/2 - 28*i**3/3 + 49*i**2/3 + 343*i - 222. Factor q(t).
-(t - 3)*(t + 7)**3/3
Let n = 13460 - 13457. Let m(y) be the second derivative of -1/5*y**5 + 0*y**4 + 0 + 2/3*y**n - 16*y + 0*y**2. What is a in m(a) = 0?
-1, 0, 1
Let n(j) be the third derivative of j**7/42 + 3*j**6 + 81*j**5/2 - 6075*j**4 + 273375*j**3/2 - 383*j**2 - 1. Factor n(v).
5*(v - 9)**2*(v + 45)**2
Let l(g) = 15*g - 5. Let y(u) be the second derivative of -u**4/12 - u**3/6 - u**2/2 + 61*u. Let b(j) = l(j) - 5*y(j). Let b(m) = 0. Calculate m.
-4, 0
Let l(j) be the second derivative of -j**4/4 + 7*j**3/2 + 27*j**2 + 1116*j. Factor l(p).
-3*(p - 9)*(p + 2)
Let m(o) be the first derivative of -o**4/3 - 16*o**3 - 288*o**2 - 38*o - 52. Let u(f) be the first derivative of m(f). Determine n so that u(n) = 0.
-12
Let b(f) be the second derivative of -f**4/18 - 4*f**3 + 301*f**2/3 - 89*f + 21. Factor b(z).
-2*(z - 7)*(z + 43)/3
Find p such that -733*p**2 - 8301 + 16372 - 8295 + 3*p**4 - 916*p - 56*p**3 - 18*p**2 = 0.
-8, -1, -1/3, 28
Let g(l) be the first derivative of 49*l**5/15 + 105*l**4 + 1350*l**3 - 99*l**2/2 + 199. Let p(b) be the second derivative of g(b). Solve p(c) = 0.
-45/7
Let q = 15673/30 - 1567/3. Let u(l) be the first derivative of 0*l**4 + 1/6*l**3 - 8 - q*l**5 + 0*l + 0*l**2. Suppose u(x) = 0. What is x?
-1, 0, 1
Find n such that 39*n - 210*n**2 - 47*n + 21*n + 11*n + 8*n + 13*n**3 = 0.
0, 2/13, 16
Let u(k) be the third derivative of 1/3*k**5 + 0 - 1/24*k**6 - 25/24*k**4 - 52*k**2 + 5/3*k**3 + 0*k. Suppose u(n) = 0. What is n?
1, 2
Let a(i) =