2 + 552*v - 76050. Let p be l(265). Factor -2*s**3 + 0 - 10/9*s**p - 2/9*s**2 + 4/9*s + 26/9*s**4.
-2*s*(s - 1)**3*(5*s + 2)/9
Suppose -2*q - 4 = -4*n, -n = -28*q + 27*q. Let l(p) be the first derivative of -3/2*p**q + 16 + 0*p - p**3. Solve l(b) = 0.
-1, 0
Factor -1/4*z**2 - 3/4*z - 1/2.
-(z + 1)*(z + 2)/4
Let f = 32693/20 - 1635. Let o = f + 61/60. Factor 2/9 + 2/9*s**3 + o*s + 2/3*s**2.
2*(s + 1)**3/9
Solve 156*p + 285*p**2 + 80 - 4*p**3 - 91*p**2 - 122*p**2 = 0.
-1, 20
Let p(n) be the first derivative of -n**5/20 + 29*n**4/2 + 117*n**3/2 + 88*n**2 + 235*n/4 - 3196. Factor p(z).
-(z - 235)*(z + 1)**3/4
Suppose 0 = -5*w + 2*a + 19, 3*w + 3*a - 2 = 1. Factor -19 - 60*f - 3*f**2 + 75*f - f**w + 22*f - 14*f**2.
-(f - 1)**2*(f + 19)
Suppose -14*v + 19*v - 5*k - 15 = 0, 2*v = -4*k - 12. Factor 5*s - 6 - 3*s**2 + v*s + 6*s - 3*s**2 + 4*s**3 - 3*s**3.
(s - 3)*(s - 2)*(s - 1)
Let u(d) = -d**3 - 31*d**2 + 21*d - 349. Let m be u(-32). Let i(v) be the second derivative of 0 + 0*v**3 + 0*v**4 - 1/60*v**5 - m*v + 0*v**2. Factor i(p).
-p**3/3
Let l be ((-148980)/(-1404) - 106)/(-1*(-2)/104). Solve l + 6*c + 2/9*c**2 = 0 for c.
-26, -1
Let x be ((-168)/224)/((-2)/176). What is f in -80 - 16*f - 8*f**2 + f**2 + 2*f**2 + x*f = 0?
2, 8
Determine l, given that -4*l**3 + 5*l - 1459 - 56*l**2 - 49*l + 3051 - 1488 = 0.
-13, -2, 1
Let i(m) be the third derivative of -195*m**2 + 13/180*m**5 - 1/6*m**4 + 2*m + 0*m**3 - 1/270*m**6 + 0 - 2/945*m**7. Find u such that i(u) = 0.
-4, 0, 3/2
Let i(w) be the third derivative of 0*w**3 - 1/1008*w**8 + 3/10*w**5 + 5*w**2 - 1/10*w**6 - 3/8*w**4 - 12*w + 1/63*w**7 + 0. Determine s so that i(s) = 0.
0, 1, 3
Let h(m) be the third derivative of -7/60*m**6 - 155*m**2 + 0 + 1/56*m**8 - 7/10*m**5 - 4/3*m**4 + 1/21*m**7 - 4/3*m**3 + 0*m. Determine r, given that h(r) = 0.
-1, -2/3, 2
Let q(n) = 4*n**2 + 397*n + 99. Let t be q(-99). Let u(d) be the first derivative of -1/26*d**4 + 10/39*d**3 + t*d - 27 - 4/13*d**2. Factor u(i).
-2*i*(i - 4)*(i - 1)/13
Let d be (-101)/(-39) + (-1)/(-3). Let t be 14 + 19/((-9633)/6786). What is f in t*f**5 + 2*f**2 + 12/13 + 58/13*f - 66/13*f**3 - d*f**4 = 0?
-1, -1/4, 1, 6
Let v(z) be the second derivative of -z**4/72 - 4*z**3/9 - 13*z**2/4 + 7*z + 507. Factor v(c).
-(c + 3)*(c + 13)/6
Suppose -146 + 142 = -v. Let h(y) be the third derivative of 0*y**v - 1/630*y**7 + 1/180*y**6 + 0*y**3 - 1/180*y**5 + 11*y**2 + 0*y + 0. Factor h(l).
-l**2*(l - 1)**2/3
Determine q so that -468/5*q**2 + 108/5*q + 0 + 147/5*q**3 - 12/5*q**4 = 0.
0, 1/4, 6
Let g be -94 + 824/8 - 94/12. Solve g*p**3 - 136/3*p - 14 + 79/6*p**2 = 0.
-14, -2/7, 3
Suppose -110 = -b - b. Let q(u) = 71*u + 500. Let a be q(-7). Factor 47*t**a + 6*t - b*t**3 - t**4 + 4*t**2 + t**5 - 3*t**4 + t**5.
2*t*(t - 3)*(t - 1)*(t + 1)**2
Let v(y) = -y**2 - 5*y + 8. Let f be v(-6). Let t = -3557771/6 - -592966. Determine u so that t*u - 5/6*u**f - 5/6*u**3 - 5/2 = 0.
-3, 1
Suppose -438 - 1791 = -949*s + 401 + 1166. Factor -2/3*b - 2/3*b**2 + s.
-2*(b - 2)*(b + 3)/3
Let f(s) be the first derivative of 25/12*s**3 - 1/4*s**5 - 5/16*s**4 + 28 + 5*s**2 + 4*s + 1/24*s**6. Factor f(b).
(b - 4)**2*(b + 1)**3/4
Factor -14147*l + 8226*l + 7013*l - 3*l**2.
-3*l*(l - 364)
Let s = -107/272 + 569/1360. Let j(t) be the third derivative of -1/300*t**5 - 1/1050*t**7 + 0 + 1/15*t**3 + 0*t + 1/200*t**6 - 13*t**2 - s*t**4. Factor j(v).
-(v - 2)*(v - 1)**2*(v + 1)/5
Find r, given that 42*r**2 + 0 - 39*r - 14/3*r**4 + 4/3*r**3 + 1/3*r**5 = 0.
-3, 0, 1, 3, 13
Let x(k) be the second derivative of k**4/32 + 47*k**3/2 + 561*k**2/4 + 1697*k. What is m in x(m) = 0?
-374, -2
Suppose 12*q + 4*q + 31*q + 13*q = 0. Let r(z) be the second derivative of -4/3*z**3 + 0*z**2 + 1/3*z**4 + 13*z + q. What is v in r(v) = 0?
0, 2
Let f(t) be the second derivative of t**5/20 + 17*t**4/12 + 32*t**3/3 + 24*t**2 - 414*t + 2. Suppose f(j) = 0. What is j?
-12, -4, -1
Factor -9864*j**3 - 14996130696*j + 7117485*j**2 + 4622557287042 + 3914640*j**2 + 2*j**4 + 7211343*j**2.
2*(j - 1233)**4
Let r(a) be the first derivative of -2/3*a**3 + 1/6*a**4 + 8/3*a - 17 + 0*a**2. Factor r(h).
2*(h - 2)**2*(h + 1)/3
Suppose 3*t - 2*x = 5, -324*t - x = -329*t + 13. Factor -r**2 + r**4 + 0 + 0*r - 1/3*r**t + 1/3*r**5.
r**2*(r - 1)*(r + 1)*(r + 3)/3
Let t(g) = -g**2 - 464*g + 938. Let c be t(2). Suppose -c*v + 1/4*v**2 + 36 = 0. What is v?
12
Let t(v) be the first derivative of -v**4 - 80*v**3/3 + 150*v**2 + 9000*v + 738. Suppose t(q) = 0. Calculate q.
-15, 10
Suppose -5*t + 42 = 2. Let -2*l - 60*l**4 + 30 + 80*l**4 - 50*l**2 - 5*l**5 - l + t*l = 0. What is l?
-1, 1, 2, 3
Let l(a) be the second derivative of -a**6/5 + 27*a**5/4 - 5*a**4 - 45*a**3/2 + 33*a**2 - 612*a. Determine z so that l(z) = 0.
-1, 1/2, 1, 22
Let y = 27680/117 + -3064/13. Let l(d) be the first derivative of -14/9*d - 2/27*d**3 + y*d**2 - 40. Factor l(i).
-2*(i - 7)*(i - 1)/9
Let d(c) be the first derivative of -9*c**6/25 - 3*c**5/25 - c**4/60 - c**3/3 - 4*c**2 - 30. Let b(v) be the third derivative of d(v). Factor b(f).
-2*(18*f + 1)**2/5
Let c = 177460 + -177458. Let 14/3*t**c + 60 + 634/3*t = 0. Calculate t.
-45, -2/7
Let x(z) = -15*z - 116. Let t be x(-8). Factor -12*r - 3876*r**t - 36 + 3873*r**4 + 44*r**2 - 17*r**2.
-3*(r - 2)**2*(r + 1)*(r + 3)
Solve 1/4*f**2 - 143/2 + 285/4*f = 0 for f.
-286, 1
Let b(a) be the second derivative of 3*a**6/20 + 87*a**5/8 + 139*a**4/24 - 239*a**3/12 + 12*a**2 + 3448*a. Suppose b(q) = 0. Calculate q.
-48, -1, 1/3
Let z(w) = -9*w**2 + 44*w - 14. Let d(b) be the second derivative of -b**4/12 + b**3/3 + b**2/2 - 20*b. Let o(g) = -30*d(g) + 5*z(g). Find s such that o(s) = 0.
2/3, 10
Let w(i) be the first derivative of -i**7/2520 + i**6/540 + 7*i**5/360 + i**4/18 + 7*i**3 + 2*i - 7. Let n(l) be the third derivative of w(l). Factor n(a).
-(a - 4)*(a + 1)**2/3
Suppose 215 = -12*i - 553. Let d be ((i/(-2))/4)/((-4)/(-26)). Factor d*p - 12*p**3 - 2*p**5 + 47*p - 8*p**4 - 101*p - 8*p**2.
-2*p*(p + 1)**4
Factor 25/2*x**2 + 55 + 285/2*x.
5*(x + 11)*(5*x + 2)/2
Suppose -8*y - 60 = -92. Let i(t) be the third derivative of 0*t**3 + 1/40*t**6 + 1/2*t**y - 5*t**2 + 0*t + 0 + 1/5*t**5. Determine w so that i(w) = 0.
-2, 0
Let i(z) be the first derivative of 5*z**3/3 + 580*z**2 - 1165*z - 1425. Find b, given that i(b) = 0.
-233, 1
Let o(y) be the first derivative of 13*y**5/5 + 15*y**4/4 - 21*y**3 + 29*y**2/2 + 6*y - 470. Factor o(n).
(n - 1)**2*(n + 3)*(13*n + 2)
Let a = 318 + 264. Let k = -2908/5 + a. Factor 0 - 2/5*m - k*m**2.
-2*m*(m + 1)/5
Let o be 884/264 + 8/(-44) + -3. Let u(y) be the first derivative of -6 - 1/6*y**2 - o*y - 1/18*y**3. Factor u(k).
-(k + 1)**2/6
Let a = -7098 - -7098. Let b(c) be the second derivative of 1/72*c**4 + 1/12*c**3 + a + 0*c**2 - 16*c. Factor b(t).
t*(t + 3)/6
Let o(x) = 11*x**2 - 51*x - 165. Let v(z) = 8*z**2 - 52*z - 164. Let l(c) = -4*o(c) + 5*v(c). Let l(m) = 0. What is m?
-10, -4
Let k = 876 - 876. Let c(d) be the third derivative of 1/25*d**5 + 0 + k*d - 1/16*d**4 + 1/75*d**6 - 9*d**2 + 1/30*d**3. Factor c(v).
(v + 2)*(4*v - 1)**2/10
Let f(n) be the first derivative of -4*n**5/5 - 23*n**4 + 104*n**3 - 3993. Factor f(w).
-4*w**2*(w - 3)*(w + 26)
Let s(y) = y**3 + 12*y**2 + 21*y + 14. Let a be s(-10). Factor 14*o**3 - 949*o**5 + 955*o**5 - 13*o**4 - 3*o**4 - a*o**2.
2*o**2*(o - 1)**2*(3*o - 2)
Let w(l) be the second derivative of 5/12*l**4 - 1/4*l**5 - 3*l + 0*l**3 + 0*l**2 - 2. Factor w(s).
-5*s**2*(s - 1)
Let o(j) be the first derivative of 5*j**3/3 + 165*j**2/2 + 1590. Let o(d) = 0. Calculate d.
-33, 0
Let h(z) be the third derivative of -z**5/20 + 623*z**4/2 - 776258*z**3 + 2682*z**2. Let h(u) = 0. What is u?
1246
Let -15*m**5 - 4673*m**3 + 4528*m**3 + 80*m**4 - 4*m - 13*m - 3*m + 100*m**2 = 0. Calculate m.
0, 1/3, 1, 2
Let w(s) be the second derivative of -s**4/36 - 35*s**3/6 - 2472*s + 1. Factor w(y).
-y*(y + 105)/3
Let n be (-4)/(-10) + 366/(-15). Let m = -20 - n. Factor m*u + u + 71*u**2 - 76*u**2.
-5*u*(u - 1)
Let b(f) be the third derivative of -13*f**5/30 + 7*f**4/3 - 4*f**3/3 + 1513*f**2. Factor b(j).
-2*(j - 2)*(13*j - 2)
Let x(c) be the first derivative of 2*c**3/39 - 105*c**2/13 + 16*c - 3728. Factor x(o).
2*(o - 104)*(o - 1)/13
Let v(j) be the first derivative of -5*j**4/22 - 4*j**