 - 24/13*n**2 - 2/13*n**3.
-2*(n - 4)*(n + 1)*(n + 15)/13
Let w(s) be the second derivative of s**4/3 + 20*s**3 + 58*s**2 + 5*s + 14. Factor w(x).
4*(x + 1)*(x + 29)
Suppose 64*c - 733 = -157. Suppose s - 3*x = -c, 5*s + 4*x + 2 - 33 = 0. Solve 17/2*b**2 + 2 - 5/2*b**s - 8*b = 0.
2/5, 1, 2
Let i(q) be the third derivative of q**5/630 + 449*q**4/126 + 201601*q**3/63 - 10*q**2 + 51. Factor i(s).
2*(s + 449)**2/21
Let n = 11/69 + 4/23. Let g be 195/(-45) + -3 + 0 + (4 - -4). Find d such that -d + 0 - g*d**2 + n*d**3 = 0.
-1, 0, 3
Let p(v) = v**2 - 44*v + 2 + 3 + 32*v - 12*v**3 + 16*v**3. Let k(g) = -g**2 + 3. Let w(b) = k(b) + p(b). Factor w(c).
4*(c - 1)**2*(c + 2)
Let g(k) = k**3 + 15*k**2 - 3*k - 41. Let s be g(-15). What is u in 24*u**3 + 0*u**5 - 20*u - 46*u**2 + 38*u**2 - 4*u**s + 12 - 4*u**5 = 0?
-3, -1, 1
Let r(j) be the second derivative of -j**5/20 + j**4/12 + 32*j**3/3 - 32*j**2 - 147*j. Factor r(h).
-(h - 8)*(h - 1)*(h + 8)
Let l(o) be the second derivative of -o**4/90 - o**3/45 + 272*o**2/15 + 8942*o. Let l(m) = 0. Calculate m.
-17, 16
Suppose -5*b + 129 = -11. Let b*o**3 - 8 - 13*o - 7*o + 4*o**2 + 7*o**4 + 3*o**5 - 11*o**5 - 3*o**4 = 0. What is o?
-1, -1/2, 1, 2
Solve 2/15*s**2 - 134/15 - 44/5*s = 0.
-1, 67
Let l(x) = x**4 + 2835*x**3 + 2016407*x**2 + 2013559*x. Let v(p) = 3*p**4 + 8503*p**3 + 6049225*p**2 + 6040676*p. Let j(r) = -21*l(r) + 6*v(r). Factor j(a).
-3*a*(a + 1)*(a + 1419)**2
Let p(l) be the third derivative of -l**6/144 + 23*l**5/48 - 35*l**4/8 - 17*l**3/6 - 66*l**2. Let x(g) be the first derivative of p(g). Factor x(o).
-5*(o - 21)*(o - 2)/2
Let p(f) = 12*f**3 + 8083*f**2 - 8112*f - 16141. Let k(o) = -4*o**3 - 2694*o**2 + 2704*o + 5382. Let l(r) = -7*k(r) - 2*p(r). Solve l(s) = 0.
-674, -1, 2
Let z(g) be the first derivative of 1/2*g**6 + 0*g - 24/5*g**5 + 12*g**2 + 63/4*g**4 - 22*g**3 + 241. Solve z(u) = 0.
0, 1, 2, 4
Let c(t) be the third derivative of t**7/15120 + t**6/270 + t**5/48 + 3*t**4/4 + 80*t**2. Let y(d) be the second derivative of c(d). Let y(v) = 0. What is v?
-15, -1
Let h(k) = 12*k**2 + 6709*k - 14. Let y(u) = -8*u**2 - 4467*u + 10. Let p(f) = 5*h(f) + 7*y(f). Find l such that p(l) = 0.
-569, 0
Let w(n) be the first derivative of -n**3/4 + 927*n**2/4 - 286443*n/4 - 3963. Let w(z) = 0. Calculate z.
309
Determine f so that 312*f**2 - 1703*f - 1328*f - 518*f + 3200 + 366*f**2 + 769*f - 40*f**3 - 2*f**4 = 0.
-32, 2, 5
Let l = -15 - -22. Suppose 0 = -l*x + 4 + 24. Factor 10*q - x - 5*q**2 - 3 + 2.
-5*(q - 1)**2
Let p(k) be the second derivative of -2*k**6/27 - 1556*k**5/15 - 2797*k**4/27 + 1244*k**3/9 - 3403*k. Let p(m) = 0. Calculate m.
-933, -1, 0, 2/5
Factor 30*b - 3/2*b**2 - 54.
-3*(b - 18)*(b - 2)/2
Let u(s) be the second derivative of 2 + 1/6*s**3 - 2*s - 1/3*s**4 + s**2 + 1/42*s**7 + 1/15*s**6 - 1/10*s**5. Factor u(n).
(n - 1)**2*(n + 1)**2*(n + 2)
Let l be 3304/18880 - (-2 + (-22)/(-16)). Factor 1/10*t**2 - l*t + 8/5.
(t - 4)**2/10
Factor -3468 + 76092*f + 20*f**3 + 20*f**3 + 36*f**3 + 4485*f**2 - 39*f**3 + 29*f**3.
3*(f + 34)**2*(22*f - 1)
Let i be (0 - 3579)/(-3)*(-15 + 14). Let m = -1191 - i. Solve 1/2*p - 5/4*p**m + 3/4 = 0.
-3/5, 1
Determine c so that 0*c + 0 - 215/4*c**2 - 177/4*c**3 + 1/4*c**5 + 39/4*c**4 = 0.
-43, -1, 0, 5
Factor 782*c**2 - 1836*c**2 + 300 + 902*c**2 + 2*c**3 + 146*c.
2*(c - 75)*(c - 2)*(c + 1)
Let w(l) be the second derivative of l**6/12 + 53*l**5/40 + 51*l**4/8 + 55*l**3/12 - 25*l**2/2 + 377*l + 16. Let w(s) = 0. Calculate s.
-5, -1, 2/5
Let x(z) be the first derivative of 25*z**6/6 - 36*z**5 + 485*z**4/4 - 590*z**3/3 + 150*z**2 - 40*z + 962. Factor x(n).
5*(n - 2)**3*(n - 1)*(5*n - 1)
Factor -170/3 + 1/3*b**2 - 169/3*b.
(b - 170)*(b + 1)/3
Let h = 61 + -49. Suppose 18*w = h*w + 18. Suppose -3*o**2 - w*o**2 + 4*o**2 + 3*o**2 = 0. What is o?
0
Let b = 905 - 910. Let w be 5*b/75 + 2/6. Solve -1/5*c + w + 1/5*c**2 = 0 for c.
0, 1
Let j = 163477 + -163474. Factor 14/9*p**j - 352/9*p - 2/9*p**4 + 8/3*p**2 + 640/9.
-2*(p - 4)**3*(p + 5)/9
Let d(k) be the third derivative of -k**5/30 + k**4/6 + 21*k**3 + 434*k**2. Factor d(j).
-2*(j - 9)*(j + 7)
Suppose -v - 2 = -3*c, 1010*c - 1016*c + 3*v = 6. Factor 2/5*m**2 + c*m + 0.
2*m*(m + 10)/5
Let y(c) be the first derivative of -c**5/60 + 5*c**4/8 - 5*c**2 + 4*c - 41. Let t(q) be the second derivative of y(q). Factor t(f).
-f*(f - 15)
Factor -998*f**3 + 568*f - 996*f**3 - 116*f + 1990*f**3 + 660 - 212*f**2.
-4*(f - 3)*(f + 1)*(f + 55)
Let r be 162/(-15) + (11 - (4/18 - (-76)/(-342))). Factor -8/5*k**2 + r*k**3 + 32/5 - 4/5*k.
(k - 8)*(k - 2)*(k + 2)/5
Let k(n) = -3*n**3 - 34*n**2 - 13*n + 46. Let u = -382 - -377. Let j(i) = 5*i**3 + 70*i**2 + 25*i - 90. Let g(z) = u*k(z) - 2*j(z). Factor g(y).
5*(y - 1)*(y + 2)*(y + 5)
Let u(i) be the second derivative of 43*i + 0 - 1/2*i**3 - 1/28*i**4 - 18/7*i**2. Factor u(s).
-3*(s + 3)*(s + 4)/7
Let c = 190872 - 190869. Factor 32/3*a**5 + 8/3*a**c + 0 + 0*a - 52/3*a**4 + 4*a**2.
4*a**2*(a - 1)**2*(8*a + 3)/3
Suppose 0*x + 5*x = -10, -4*s - 2*x + 12 = 0. Let g(u) be the third derivative of 0*u**3 + 0 + 0*u + 3*u**2 + 1/84*u**s + 0*u**5 - 1/420*u**6. Factor g(i).
-2*i*(i - 1)*(i + 1)/7
Suppose -19*v = 29*v - 10704. Suppose v*l = 228*l. Factor 0 + 0*c**2 + 2/13*c**3 + l*c.
2*c**3/13
Let g(j) = -j**3 + 4*j**2 + j - 1. Let c(w) = 2*w + 28. Let f be c(-12). Let u be g(f). Factor u*d**3 + 16*d**2 + 4*d**2 + 9*d - 8*d**2.
3*d*(d + 1)*(d + 3)
Suppose -a - 198 = 4*v - 200, -4*a + 8 = 0. Let y(i) be the third derivative of 0*i - 1/30*i**6 - 2/3*i**3 + 10*i**2 - 1/2*i**4 + v - 1/5*i**5. Factor y(m).
-4*(m + 1)**3
Suppose 0 = n - 3*g + 1 + 4, 5*g = n + 11. Let k(u) be the first derivative of -1/15*u**3 - 3/10*u**2 - 2/5*u + n. What is j in k(j) = 0?
-2, -1
Suppose k = t + 12, -5*t + 176*k - 48 = 175*k. Let l be ((-12)/(-14))/((-3423)/392 - t). Factor l*u - 6/5 - 16/5*u**3 + 6/5*u**2.
-2*(u - 1)*(u + 1)*(8*u - 3)/5
Let q(t) = -735*t + 54390. Let i be q(74). Suppose 0*p - 1/2*p**3 + i + 1/2*p**4 - p**2 = 0. What is p?
-1, 0, 2
Let f(b) = b**3 - 10*b**2 + 24*b + 7. Let m be f(5). Factor 1 - 11*j + 7*j**m - 58*j**3 + 4 + 57*j**3.
-(j - 5)*(j - 1)**2
Let r be 6/(-14)*((-3)/(-15) + (-1541)/1005). Factor 32/7 + r*c**3 + 48/7*c + 24/7*c**2.
4*(c + 2)**3/7
What is q in -1/3*q**3 + 1248 + 2/3*q**2 + 160*q = 0?
-12, 26
Let w be (-15)/(-8) + -2*4/(-64). Let l be (-1 + 2)/(w/8). Determine y, given that -3 + 12*y + 0*y**2 - 1 - 4*y**2 - l = 0.
1, 2
Let m(b) = 2*b**3 - 28*b**2 - 39*b + 1155. Let j be m(11). Suppose -7/4*y**2 + 0*y + j + 1/4*y**4 - 3/2*y**3 = 0. Calculate y.
-1, 0, 7
Let v be (-25)/(-80) - (-18)/864. Determine d, given that -d - 1/3*d**3 - 5/3*d**2 + 0 + v*d**4 = 0.
-1, 0, 3
Factor -56520324/5*i - 192/5*i**3 - 180432/5*i**2 - 5901663831/5.
-3*(4*i + 1253)**3/5
Let u be ((-4)/1)/((-14)/(21/3)). What is r in 27*r**4 + 3*r**5 - 17*r**4 + 15*r**4 + u*r**5 - 20*r**3 - 100*r**2 = 0?
-5, -2, 0, 2
Let z(r) = -630*r**4 - 628*r**3 + 2*r**2 - 12. Let s(t) = -t**5 + t**4 + t**3 - t**2 + 6. Let q(a) = 2*s(a) + z(a). Suppose q(c) = 0. What is c?
-313, -1, 0
Factor 21*o**2 - 77/2*o - 1/2*o**3 - 60.
-(o - 40)*(o - 3)*(o + 1)/2
Let n(c) = -22*c**2 + 2*c + 1. Let k(p) = 62*p**2 - 115*p + 81. Let f(q) = 2*k(q) + 6*n(q). Factor f(j).
-2*(j + 28)*(4*j - 3)
Solve 134*g**2 + 83*g**2 + 85*g**2 + 34*g**2 - 24*g**2 + 428*g**3 + 16*g**4 = 0 for g.
-26, -3/4, 0
Let y(m) be the first derivative of m**4 - 24*m**3 + 142*m**2 + 360*m - 409. Factor y(b).
4*(b - 10)*(b - 9)*(b + 1)
Let t be 9 - (121/22 - 2)*(-1 - -3). Solve -4/5*q**3 + 2/5*q**4 + 0*q**t + 4/5*q - 2/5 = 0 for q.
-1, 1
Let w be ((-1)/((-105)/50))/(150/2880). Factor -2/7*t**3 - 72/7 + w*t - 10/7*t**2.
-2*(t - 2)**2*(t + 9)/7
Suppose -2*p = -4*o - 8, -4*o - 3*p = -2*o - 12. Suppose o = 9*r - 11 - 7. Factor -8*f**2 - 5*f - 2*f - f + 4*f**r.
-4*f*(f + 2)
Let z = -1693319/120 - -14111. Let n(v) be the third derivative of -z*v**4 + 0*v + 1/600*v**6 + 0 - 1/300*v**5 - 26*v**2 + 1/30*v**3. Let n(c) = 0. Calculate c.
-1, 1
Let m = 609 + -1823/3. Let g(b) be the third derivative of 1/3*b**4 + 1/30*b**5 + 0*b + m*b**3 + 0 + 5*b**2. Let g(i) = 0. Calculate i.
-2
Let x(v) = -145*v**3 + 715*v**2 - 680*v - 40. Let y(j) = -j**3 + 5*j**2 + j. Let f(g) = x(g) + 30*y(g). Suppose f(m) = 0. Calc