actor -24*c**3 - 12 + 41*c**3 + 12*c**2 - 4*c - 13*c**z.
4*(c - 1)*(c + 1)*(c + 3)
Factor -720*f**2 - 63*f**3 + 36864 - 3/2*f**4 + 768*f.
-3*(f - 6)*(f + 16)**3/2
Let t(l) be the first derivative of 2*l**3/17 + 641*l**2/17 - 428*l/17 + 914. Let t(h) = 0. Calculate h.
-214, 1/3
Factor -38*z**4 - 5825*z**2 - 679*z - 270 + 4885*z**2 - 175*z + 2*z**5 - 396*z**3.
2*(z - 27)*(z + 1)**3*(z + 5)
Let 164/13*z**3 - 110/13*z - 4*z**4 - 54/13*z**5 + 4/13 + 48/13*z**2 = 0. Calculate z.
-2, -1, 1/27, 1
Let m(a) be the second derivative of a**7/1890 + 19*a**6/540 - 7*a**4/12 - 3*a. Let c(k) be the third derivative of m(k). Solve c(u) = 0.
-19, 0
Let s(f) be the third derivative of -f**7/105 - 121*f**6/60 - 467*f**5/30 + 121*f**4/12 + 156*f**3 + 2*f**2 + 17*f + 2. Let s(x) = 0. Calculate x.
-117, -4, -1, 1
Suppose -55*p = -59*p - 140. Let v be 30/(-165) + p/(-11). Factor 6*b - 12 + 5*b + v*b**2 - 2*b.
3*(b - 1)*(b + 4)
Let c(v) be the first derivative of v**5/20 - 5*v**4 + 200*v**3 + 35*v**2/2 + 92. Let h(j) be the second derivative of c(j). Let h(z) = 0. Calculate z.
20
Let y be (-12543)/481*6/(-9). Let p = y + -1052/65. Suppose 0 + 0*w**2 - p*w**5 + 3/5*w**3 + 0*w + 3/5*w**4 = 0. Calculate w.
-1/2, 0, 1
Let s(m) be the first derivative of -242*m**5/35 + 6303*m**4/7 - 658946*m**3/21 + 59592*m**2/7 - 5408*m/7 - 6446. Factor s(g).
-2*(g - 52)**2*(11*g - 1)**2/7
Let y be 1209/(-52)*16/(-2). Let h = y - 183. Factor 3/7*l**4 + 0 - 3/7*l - 3/7*l**2 + 3/7*l**h.
3*l*(l - 1)*(l + 1)**2/7
Let w be (8/12*21 - 104/12) + -4. Let -w*z**2 + 0*z - 2*z**3 + 0 = 0. What is z?
-2/3, 0
Let p(r) be the second derivative of -r**4/3 - 56*r**3 - 328*r**2 + 752*r. Factor p(m).
-4*(m + 2)*(m + 82)
Suppose 204*a - 217*a = -39. Let k(c) be the first derivative of -30 + c**5 - 15/2*c**2 - 5/4*c**4 - 25/3*c**a + 0*c. Determine q, given that k(q) = 0.
-1, 0, 3
Let r(i) be the third derivative of -3/80*i**5 + 4*i**2 + 1/480*i**6 + 245/24*i**3 - 11*i - 7/32*i**4 + 0. Factor r(q).
(q - 7)**2*(q + 5)/4
Let w be (-7)/(-3) - 273388/(-492). Let b = w - 554. Factor 1/4*u + 3/4*u**3 + 3/4*u**2 + 1/4*u**b + 0.
u*(u + 1)**3/4
Let u = -4706738/7 + 672392. Determine c, given that 1/7*c**3 + 9/7*c + 0 + u*c**2 = 0.
-3, 0
Let a(o) be the first derivative of 0*o + 1/10*o**5 + 1/3*o**3 - 5/2*o**2 + 35 + 1/4*o**4 + 1/60*o**6. Let r(z) be the second derivative of a(z). Factor r(g).
2*(g + 1)**3
Let y(z) = 5*z**2 - 8*z - 6*z**2 + 56 + 2*z**2 + 24 + 27*z. Let q be y(-6). Solve 1/7*t**q + 0 + t = 0 for t.
-7, 0
Let w(h) be the first derivative of 0*h**3 - 1/5*h**2 + 1/5*h**4 + 0*h - 7 - 1/15*h**6 + 0*h**5. Factor w(u).
-2*u*(u - 1)**2*(u + 1)**2/5
Let y(d) be the first derivative of -3/8*d**4 - 2/3*d**3 + 0*d + 142 + d**2 + 1/5*d**5 + 1/12*d**6. Suppose y(n) = 0. Calculate n.
-2, 0, 1
Let o be 91/210 + (-14)/105 - 19/1330. Find t, given that -450/7*t + 0 - 60/7*t**2 - o*t**3 = 0.
-15, 0
Suppose -170*i = 148*i - 0 - 0. Solve -1/4*z**2 + 0 + i*z - 1/4*z**3 = 0 for z.
-1, 0
Suppose 0 = 13*p + 31 - 57. Solve 2*t**p + 30*t - 4*t**2 - 1299 + 1227 = 0.
3, 12
Let k(h) be the third derivative of 0*h + 4*h**2 + 5/18*h**6 + 0*h**3 - 1/126*h**7 - 25/9*h**5 + 0 + 0*h**4. Let k(d) = 0. Calculate d.
0, 10
Let r(q) = -2*q**3 + 28*q**2 + 18*q - 7. Let n be r(12). Determine j so that n*j**2 - 729*j**2 - 360 + 580*j + 75*j**3 - 386*j**2 - 5*j**4 = 0.
2, 9
Let z(g) = g**2 - 14*g + 8. Let i be z(12). Let u = i + 19. Factor 9*s**3 - 3*s**u + 0*s - 2*s**5 - 10*s**2 + 4*s**4 + 4*s - 2*s**4.
-2*s*(s - 1)**3*(s + 2)
Let t be (-116)/(-20) + (-9153)/2835. Find h such that 51/7*h**2 + t*h + 0 - 9/7*h**3 = 0.
-1/3, 0, 6
Factor -2065 + 686*j + 407*j**2 - 402*j**2 + 1374*j.
5*(j - 1)*(j + 413)
Factor -88/3*s**2 + 0 - 4/9*s**3 + 1420/9*s.
-4*s*(s - 5)*(s + 71)/9
Suppose -6*c**2 + 3*c**3 - 3/2 + 5*c - 1/2*c**4 = 0. What is c?
1, 3
Let w be 0 + (-8)/(-3) + 4620/(-3960). Factor -9/2*y + w*y**4 + 21/2*y**2 - 15/2*y**3 + 0.
3*y*(y - 3)*(y - 1)**2/2
Suppose -4*x = -3*x - 2, s + x - 20 = 0. Let d be s/(5/(-2) + 4). Let -d*p + p**3 + 4 + 21*p**3 - 6*p**3 = 0. Calculate p.
-1, 1/2
Let r = 1747/77805 + -2/8645. Let l(y) be the second derivative of 2*y - 1/225*y**6 + 0 + 0*y**2 + 1/90*y**4 - 1/150*y**5 + r*y**3. Suppose l(o) = 0. What is o?
-1, 0, 1
Let j(n) = -4*n + 3 + 16 + 4 + 1. Let z be j(-6). Factor 44*q - 2*q**5 - 62*q - z*q**2 - 44*q**3 + 4*q**4 - 20*q**4.
-2*q*(q + 1)**2*(q + 3)**2
Factor 0*j + 0 - 1024/5*j**2 - 2/5*j**3.
-2*j**2*(j + 512)/5
Let t = 675796 + -675794. What is u in 10*u**3 - 8/9*u**4 - 34/3*u**t + 0 + 20/9*u = 0?
0, 1/4, 1, 10
Let z(y) = 5*y**3 + 16*y**2 + 50*y - 93. Let k(j) = 3*j**3 + 12*j**2 + 48*j - 94. Let f(t) = 3*k(t) - 2*z(t). Determine n so that f(n) = 0.
-6, 2, 8
Let p(x) be the first derivative of -5*x**3/3 + 1705*x**2/2 - 1700*x + 2604. Factor p(a).
-5*(a - 340)*(a - 1)
Find r, given that -2/5*r**2 + 162 - 24/5*r = 0.
-27, 15
Factor 2*n**3 + 85*n + 69*n + 32 + 10*n**2 - 198*n.
2*(n - 2)*(n - 1)*(n + 8)
Factor 712/15 - 2/15*p**2 - 352/15*p.
-2*(p - 2)*(p + 178)/15
Let r(d) = 5*d**4 + 270*d**3 + 3625*d**2 - 1083*d - 14586. Let t(m) = 10*m**4 + 540*m**3 + 7250*m**2 - 2167*m - 29174. Let p(u) = 7*r(u) - 3*t(u). Factor p(f).
5*(f - 2)*(f + 2)*(f + 27)**2
Let k(v) be the second derivative of 5*v**4/12 + 525*v**3 + 496125*v**2/2 + 5922*v. Find z such that k(z) = 0.
-315
Suppose 449*w - 936*w - 36 + 447*w + 4*w**2 - 8*w**2 = 0. Calculate w.
-9, -1
Let q(y) = 20*y**3 - 520*y**2 + 5816*y. Let n(p) = -547*p - 1392*p - 25*p**2 - 7*p**3 + 198*p**2. Let v(j) = 8*n(j) + 3*q(j). Determine c, given that v(c) = 0.
0, 22
Let l(q) be the third derivative of -4/15*q**6 + 1/15*q**5 + 2/35*q**7 - 8/3*q**3 + 1/168*q**8 - 52 + 5/4*q**4 + 0*q - 2*q**2. Factor l(t).
2*(t - 1)**3*(t + 1)*(t + 8)
Let l(o) be the second derivative of -o**4/66 + 79*o**3/11 - 470*o**2/11 - 2*o - 85. Factor l(v).
-2*(v - 235)*(v - 2)/11
Let i = -173424 - -173428. Let d = -86 + 179/2. Let 1/2*m**i + d*m + 9/2*m**2 + 1 + 5/2*m**3 = 0. Calculate m.
-2, -1
Let i(v) be the second derivative of -v**4/12 - 11*v**3/6 - 9*v**2 + 15*v. Let f be i(-9). Solve 2*g**3 + f*g**2 - 8 + 0*g**2 + 0*g**2 + 6*g**2 = 0 for g.
-2, 1
Suppose 0 = -17*n + 519 + 2116. Let h = 157 - n. Find f such that -3/8*f - 15/8*f**3 - 2*f**h + 1/4 - 1/2*f**4 = 0.
-2, -1, 1/4
Let i = -113517/10 - -11352. Let l(d) be the first derivative of 1/2*d**2 + 7/6*d**3 + d**4 + 0*d + 9 + i*d**5. Factor l(j).
j*(j + 1)**2*(3*j + 2)/2
Let h(w) be the third derivative of w**6/300 - 77*w**5/150 + 5*w**4/2 + 2*w**2 + 3162*w. Factor h(u).
2*u*(u - 75)*(u - 2)/5
Suppose 65 = -61*k + 62*k. Factor 5*b**2 + 58*b - 125*b + k*b - 6*b**2.
-b*(b + 2)
Let h = -740/11 + 25757/385. Let v = h - -227/140. Factor r + 1/4*r**2 - v.
(r - 1)*(r + 5)/4
Let o(k) be the first derivative of k**9/2016 - 13*k**8/1120 - 10*k**3/3 + 3*k**2/2 + 15. Let i(y) be the third derivative of o(y). Factor i(g).
3*g**4*(g - 13)/2
Let k(l) be the first derivative of -42 - 16/5*l + 16/5*l**2 - 4/5*l**3. Factor k(b).
-4*(b - 2)*(3*b - 2)/5
Let i be (-1)/(55/(-99) + (-4)/(-18)). Find v, given that 2820*v**3 + 24*v**2 - 21*v - 7*v - 2816*v**i = 0.
-7, 0, 1
Let h(d) = 21*d**2 - 229*d - 502. Let p(x) = -9*x**2 + 115*x + 250. Let u(c) = 2*h(c) + 5*p(c). Let u(r) = 0. Calculate r.
-2, 41
Let y(r) be the third derivative of -7/5*r**4 + 8/5*r**3 + 11/350*r**7 + 73/100*r**5 + 0*r - 43/200*r**6 + 0 + 25*r**2 - 1/560*r**8. Factor y(t).
-3*(t - 4)**2*(t - 1)**3/5
Let d(p) be the first derivative of -p**5/10 - 45*p**4/8 + 202*p**3/3 - 261*p**2 + 424*p - 5231. Factor d(r).
-(r - 4)*(r - 2)**2*(r + 53)/2
Determine o so that -155*o + 144*o**2 + o**4 - 18*o**4 - 669*o + 1200 + 75*o**3 + 5*o**4 - 268*o = 0.
-4, 2, 25/4
Let x(o) be the second derivative of -o**7/21 - 19*o**6/5 - 943*o**5/10 - 1249*o**4/2 - 4888*o**3/3 - 2028*o**2 + 192*o. What is u in x(u) = 0?
-26, -3, -1
Let l(p) be the second derivative of p**6/210 - 5471*p**5/140 + 3326975*p**4/28 - 6078368741*p**3/42 + 6058428767*p**2/7 + 62*p + 49. Factor l(u).
(u - 1823)**3*(u - 2)/7
Let l = -19317 + 19317. Factor 3/2*i**4 + 0*i**3 - 3/2*i**2 + 0*i + l.
3*i**2*(i - 1)*(i + 1)/2
Factor -2/9*v**3 + 58/9 + 6*v**2 + 38/3*v.
-2*(v - 29)*(v + 1)**2/9
Let r(x) be the third derivative of 2*x**7/735 - x**6/84 - x**5/7 + 20*x**