2. Factor 0 + i*n**2 - 2/13*n**3 + 0*n - 2/13*n**4.
-2*n**3*(n + 1)/13
Let b(m) be the first derivative of 5*m**5 - 105*m**4/2 - 25*m**3 + 340*m**2 - 420*m + 2123. What is z in b(z) = 0?
-2, 1, 42/5
Let t be (35/(6545/(-22)))/(-4). Let y(u) be the first derivative of -t*u**4 + 8/17*u + 10/51*u**3 + 22 - 8/17*u**2. Factor y(q).
-2*(q - 2)**2*(q - 1)/17
Let o = 56 + -112. Let v = -53 - o. Factor 8*r - 2*r**2 + v*r**2 + 0*r**2 + r**2.
2*r*(r + 4)
Let c(p) = -p + 9. Let d be c(6). Let n be (d/44*2)/((-24)/(-64)). Factor 2/11*w**2 - n*w + 0.
2*w*(w - 2)/11
Determine f, given that 40 - 10*f - 7/5*f**2 = 0.
-10, 20/7
Let t(l) be the third derivative of l**6/540 - 19*l**5/270 + 17*l**4/54 + 1968*l**2. Determine z, given that t(z) = 0.
0, 2, 17
Factor -42*x**2 - 10*x**3 + 14*x**3 - 393*x + 0*x**3 + 5*x**3 + 135 + 3*x**2.
3*(x - 9)*(x + 5)*(3*x - 1)
Let i be 6/(88/(-8) + 14). Let w(p) be the second derivative of -1/33*p**4 + 1/165*p**6 + 0 - 24*p + 0*p**3 + 0*p**5 + 1/11*p**i. Factor w(j).
2*(j - 1)**2*(j + 1)**2/11
Let x(c) = c**2 - 11*c + 12. Let t be x(10). Let v be -1*(4/25)/(40/(-100)). Factor 14/5*k**2 + 0 - 6/5*k - t*k**3 + v*k**4.
2*k*(k - 3)*(k - 1)**2/5
Let y = 5/2297 + 4519/34455. Factor -y*h**3 - 4/15*h**2 + 0 + 2/5*h.
-2*h*(h - 1)*(h + 3)/15
Let i(s) be the third derivative of s**9/5544 - s**8/3080 - 16*s**3/3 + 156*s**2. Let r(x) be the first derivative of i(x). Solve r(y) = 0.
0, 1
Let r be 0/(-11) - (-158)/(-2). Let w = -74 - r. Factor g**w - 3*g + 3*g**4 + 4*g**3 - 5*g**3 + g - 3*g**2 + 2*g**3.
g*(g - 1)*(g + 1)**2*(g + 2)
Let q(z) be the second derivative of -z**4/90 + 32*z**3/45 - 77*z**2/5 + 1151*z. Factor q(m).
-2*(m - 21)*(m - 11)/15
Let s(w) be the first derivative of 0*w - 4*w**2 + 23 + 0*w**4 - 1/12*w**3 + 1/120*w**5. Let g(p) be the second derivative of s(p). Factor g(b).
(b - 1)*(b + 1)/2
Let g(t) be the first derivative of -t**4/18 - 146*t**3/27 + 226*t**2/9 - 304*t/9 + 304. Find o such that g(o) = 0.
-76, 1, 2
Let y(c) be the second derivative of c**5/45 + c**4/6 + 4*c**3/9 + 77*c**2/2 + 5*c + 2. Let b(a) be the first derivative of y(a). Factor b(h).
4*(h + 1)*(h + 2)/3
Let b(n) be the first derivative of 0*n**2 + n**5 - 5/4*n**4 - 23 + 0*n - 10/3*n**3. Factor b(l).
5*l**2*(l - 2)*(l + 1)
Let r be (-2730)/390 - -1*7. Let n(x) be the first derivative of 15/4*x**4 + r*x + 0*x**2 + 10 - 5/6*x**6 + 10/3*x**3 + 0*x**5. Factor n(w).
-5*w**2*(w - 2)*(w + 1)**2
Factor 170569/5 + 1/5*g**3 + 34279*g + 827/5*g**2.
(g + 1)*(g + 413)**2/5
Suppose 27*r - 226 = -10. Let x(a) = a**2 - 7*a - 4. Let o be x(r). Factor -8/3*n**o - 4/3*n**2 + 0 + 2/3*n**5 + 10/3*n**3 + 0*n.
2*n**2*(n - 2)*(n - 1)**2/3
Let s(g) be the first derivative of g**6/180 + g**5/60 - g**4 - 2*g**3/3 - 29*g - 129. Let w(x) be the third derivative of s(x). What is a in w(a) = 0?
-4, 3
Factor -478/5*d - 964/5 + 484/5*d**2 - 2/5*d**3.
-2*(d - 241)*(d - 2)*(d + 1)/5
Let q(d) = 3*d + 4. Let g(a) = a + 1. Let y(i) = 9*g(i) - 2*q(i). Let h(b) = -5*b**2 - 200*b - 1455. Let x(o) = -h(o) - 10*y(o). Let x(f) = 0. Calculate f.
-17
Let l(j) be the third derivative of -36/5*j**5 - 33/5*j**6 + 0*j**3 + 65*j**2 + 0*j + 0*j**4 - 1 - 121/70*j**7. Factor l(p).
-3*p**2*(11*p + 12)**2
Let m = 891906 - 2675680/3. What is q in -6*q**2 + 0*q - 4/3*q**4 - m*q**3 + 0 = 0?
-9, -1/2, 0
Factor -28/11*p**2 - 76/11 + 1066/11*p.
-2*(p - 38)*(14*p - 1)/11
Suppose 8691*k - 8682*k = 36. Solve 0*g - 8/9*g**2 - 2/9*g**k + 0 + 8/9*g**3 = 0 for g.
0, 2
Let i = -3343 + 3343. Let t(l) be the second derivative of i + 6*l**2 + 11/6*l**4 + 17/3*l**3 - l + 1/5*l**5. Factor t(p).
2*(p + 2)*(p + 3)*(2*p + 1)
Let h(g) be the second derivative of -6*g + 1/4*g**2 + 0 + 1/6*g**3 + 1/24*g**4. Determine z, given that h(z) = 0.
-1
Let o(m) be the first derivative of -m**5/60 - m**4/36 + m**3/3 - 27*m - 50. Let c(j) be the first derivative of o(j). Suppose c(w) = 0. Calculate w.
-3, 0, 2
Let x = 77 - 72. Suppose 3*p**3 - 83*p**4 + 0*p**x - 5*p**3 + 79*p**4 - 2*p**5 = 0. Calculate p.
-1, 0
Let q be (9/15)/(1386/165). Let t(n) be the first derivative of 12 + 8/7*n - 2/7*n**3 + 0*n**2 - q*n**4. Factor t(k).
-2*(k - 1)*(k + 2)**2/7
Let a(u) be the first derivative of u**6/16 - 12*u**5/5 - 111*u**4/4 - 116*u**3 - 237*u**2 - 240*u + 6523. Factor a(z).
3*(z - 40)*(z + 2)**4/8
Let g be (-8)/(-6)*18/16*(-1108)/(-831). Let 6*y**g - 5/3*y**3 + 0 + 8/3*y = 0. What is y?
-2/5, 0, 4
Let z(n) be the third derivative of n**8/84 + 166*n**7/105 + 73*n**6/5 - 1822*n**5/15 + 1993*n**4/6 - 462*n**3 - 9510*n**2. Factor z(q).
4*(q - 1)**3*(q + 9)*(q + 77)
Let r(q) be the second derivative of 5*q**4/12 + 20*q**3 + 675*q**2/2 - 130*q - 3. Solve r(a) = 0 for a.
-15, -9
Let z(i) be the third derivative of 1/2*i**4 + 17/40*i**6 + 0*i - 5*i**2 - 4/5*i**5 + 0*i**3 + 0 - 1/14*i**7. Solve z(t) = 0 for t.
0, 2/5, 1, 2
Let 154603 + 3*i**2 + 144280 - 2*i**2 + 98017 + 1260*i = 0. What is i?
-630
Let g(n) be the first derivative of n**3/3 + 806*n**2 + 3220*n - 191. Let g(f) = 0. Calculate f.
-1610, -2
Let l(r) be the third derivative of r**5/270 - 199*r**4/54 + 784*r**3/9 + 3089*r**2. Determine w, given that l(w) = 0.
6, 392
Let k(l) be the first derivative of -l**4/4 + 6*l**2 - 136*l + 79. Let d(p) be the first derivative of k(p). Factor d(t).
-3*(t - 2)*(t + 2)
Let t(m) = m**3 - m**2. Let n(l) = 5*l**4 - 4925*l**3 + 1185820*l**2 + 4801980*l + 4821620. Let d(k) = -n(k) - 35*t(k). Factor d(y).
-5*(y - 491)**2*(y + 2)**2
Factor -1408/5 - 1/5*t**3 + 688/5*t - 16*t**2.
-(t - 4)**2*(t + 88)/5
Let r(m) be the first derivative of 5*m**4/4 - 12325*m**3/3 + 7589115*m**2/2 + 7601445*m - 37. Factor r(c).
5*(c - 1233)**2*(c + 1)
Determine y, given that -26/9*y**4 + 1/9*y**5 + 0 - 161/9*y**3 + 62/3*y**2 + 0*y = 0.
-6, 0, 1, 31
Suppose 11 = -3*a - 79. Let v = 71 + a. Factor 3*x**2 - 16*x - 32*x + 67 + v + 12*x.
3*(x - 6)**2
Suppose 5*b - 36*c + 34*c - 7 = 0, 5*c = 20. Let k(i) be the first derivative of 0*i - 5/6*i**2 - 5/6*i**b - 3 + 1/6*i**5 + 0*i**4. Factor k(v).
5*v*(v - 2)*(v + 1)**2/6
Suppose -468*u**3 - 1296*u - 4*u**5 - 1100*u**2 - 52*u**4 + 88*u**4 - 196*u**2 - 108*u**4 = 0. What is u?
-6, -3, 0
Let i(s) be the second derivative of 25*s**7/63 + 13*s**6/3 - 127*s**5/10 - 1067*s**4/18 - 208*s**3/3 - 36*s**2 + 4137*s. Suppose i(h) = 0. What is h?
-9, -1, -2/5, 3
Let c(r) be the third derivative of -27*r**2 + 9/8*r**4 + 1/80*r**5 + 0 + 0*r + 81/2*r**3. Factor c(y).
3*(y + 18)**2/4
Let f(x) be the second derivative of -x**5/190 - 4*x**4/57 - 20*x**3/57 - 16*x**2/19 + 657*x - 3. Let f(v) = 0. Calculate v.
-4, -2
Let m(j) be the third derivative of j**7/280 - 7*j**6/40 - 25*j**5/16 - 3*j**4 + 4487*j**2. Factor m(w).
3*w*(w - 32)*(w + 1)*(w + 3)/4
Let v(a) be the second derivative of a**4/48 + 109*a**3/3 + 23762*a**2 - 11*a - 123. Find s such that v(s) = 0.
-436
Let p be (-203)/205*3/6. Let x = 1/205 - p. Factor x*h**3 - 3/2*h**2 + 0*h + 2.
(h - 2)**2*(h + 1)/2
Solve -54/5*l + 0 + 53/5*l**2 + 1/5*l**3 = 0 for l.
-54, 0, 1
Suppose -6025 + 66865 + 0*g**5 - 5*g**5 + 78950*g**3 + 28860*g + 770*g**4 - 107805*g**3 + 28361*g**2 - 89971*g**2 = 0. What is g?
-2, -1, 1, 78
Factor 63912/5*m**2 + 3/5*m**4 + 54000 - 53280*m + 888/5*m**3.
3*(m - 2)**2*(m + 150)**2/5
Let a = -371 + 373. Let t(y) be the first derivative of 4/3*y**3 + a*y**2 - y**4 - 4*y + 10. Factor t(w).
-4*(w - 1)**2*(w + 1)
Suppose 148*n**2 + 3*n + 3457*n**4 - 109*n**3 + 39*n**5 - 3515*n**4 - 23*n = 0. What is n?
-5/3, 0, 2/13, 1, 2
Suppose 126 + 40 = -s - 2*z, 4*s + 650 = -z. Let j = 23 - s. Solve 30*b**2 + 29*b**5 + 93*b**3 + j*b**3 - 48*b - 414*b**4 - 8 + 133*b**5 = 0 for b.
-2/9, 1
Let d(m) be the third derivative of -m**7/84 + m**6/24 + m**5/24 - 5*m**4/24 + 8*m**2 + 37. Factor d(i).
-5*i*(i - 2)*(i - 1)*(i + 1)/2
Let u(t) = -49*t**3 - 393*t**2 + 12659*t + 13081. Let h(m) = 15*m**3 + 131*m**2 - 4220*m - 4360. Let d(p) = 26*h(p) + 8*u(p). Factor d(w).
-2*(w - 66)**2*(w + 1)
Let i(l) = -42*l**2 - 68*l - 17. Let t = -31 + 33. Let r(p) = 565*p + 40*p + 505*p**t + 210*p + 205. Let j(z) = -35*i(z) - 3*r(z). Factor j(m).
-5*(m + 1)*(9*m + 4)
Factor 20/3*r**2 + 2/3*r**3 - 16 + 26/3*r.
2*(r - 1)*(r + 3)*(r + 8)/3
Let r = 278/257 + -1133/1285. Find v, given that r*v**3 - 2*v**2 - 4/5*v + 24/5 + 1/5*v**4 = 0.
-3, -2, 2
De