 148. Let g be 0 - (9/(-15) - (-65)/l). Factor 0*j - 1/6*j**4 + 0 + 1/6*j**2 + g*j**5 - 1/6*j**3.
j**2*(j - 1)**2*(j + 1)/6
Let l(j) = 209*j - 139. Let c be l(5). Let i = c + -902. Factor 4/7 + 2/7*h**i + 2/7*h**3 - 6/7*h**2 - 2/7*h.
2*(h - 1)**2*(h + 1)*(h + 2)/7
Let l(b) be the third derivative of -1/672*b**8 - 11/240*b**6 + 13/420*b**7 + 17*b**2 + 0*b**3 - 1 - 13/120*b**5 + 1/4*b**4 + 0*b. Let l(j) = 0. Calculate j.
-1, 0, 1, 12
Let u(q) be the second derivative of q**7/840 - q**6/80 + 3*q**5/80 - q**4/24 - 51*q**2/2 + 53*q. Let x(z) be the first derivative of u(z). Solve x(l) = 0.
0, 1, 4
Let v = 8684 + -8677. Let b(j) be the second derivative of 0 - j**3 + 1/10*j**6 - 9/20*j**5 + 1/14*j**v - 3*j + 0*j**2 - 5/4*j**4. Factor b(k).
3*k*(k - 2)*(k + 1)**3
Let p = -38663/26 - -19338/13. Factor 15/2*h**3 + 9/2*h**4 + 0*h + p*h**5 + 0 - 25/2*h**2.
h**2*(h - 1)*(h + 5)**2/2
Suppose 77*b + 271828 = 735137. Suppose 6029*o - b*o = 36. Solve 0*g**2 - 9/5*g**o + 0 + 12/5*g - 3/5*g**4 = 0 for g.
-2, 0, 1
Let f(s) be the second derivative of -s**4/30 - 722*s**3/45 - 32*s**2 + 1968*s. Find b such that f(b) = 0.
-240, -2/3
Let u(g) be the first derivative of -1/57*g**6 + 66 + 2/19*g**5 - 9/38*g**4 - 2/19*g**2 + 0*g + 14/57*g**3. Find z such that u(z) = 0.
0, 1, 2
Let x(n) be the second derivative of -n**6/105 + n**5/5 - 61*n**4/42 + 4*n**3 - 36*n**2/7 + 580*n. Factor x(z).
-2*(z - 6)**2*(z - 1)**2/7
Let u = 256 + -253. Let y(w) be the first derivative of -4/15*w**u + 18 + 0*w + 3/5*w**2 - 1/10*w**4. Factor y(z).
-2*z*(z - 1)*(z + 3)/5
Suppose 4*o + 2*c + 2 = 0, -2*o + 2*c = -20 + 6. Suppose -12*f - 2*f + 588 = 0. What is z in -98 + 36 - 5*z**o + 20*z + f = 0?
2
Let i be 2/(43 - 170/4). Factor -i*h - 7/4*h**2 - 3 - 1/4*h**3.
-(h + 2)**2*(h + 3)/4
Let u be 1230/(-2091) + 10/17. Factor -1/10*s**5 - 336/5*s**2 - 392/5*s + 12/5*s**4 - 44/5*s**3 + u.
-s*(s - 14)**2*(s + 2)**2/10
Let x(y) = -y**3 - 3*y**2 + 29*y - 14. Let j be x(-8). Solve z**2 + 961 - 89*z - j*z + 182*z - 81*z = 0 for z.
31
Let g = -250 + 243. Let n be ((-172)/(-301))/((-3)/g). Factor 8/3*y**2 + 1/3*y**4 + 5/3*y**3 + n*y + 0.
y*(y + 1)*(y + 2)**2/3
Let m = 50549/1095 - -8/219. Let g = -1607/35 + m. Factor -g*u**4 + 4/7*u + 0*u**2 - 4/7*u**3 + 2/7.
-2*(u - 1)*(u + 1)**3/7
Let h(l) be the third derivative of l**7/105 + 83*l**6/15 - l**5/30 - 83*l**4/3 + 817*l**2. Factor h(j).
2*j*(j - 1)*(j + 1)*(j + 332)
Let z(g) be the second derivative of -2/3*g**3 + 4*g**2 + 3 - 1/3*g**4 + 10*g. Factor z(t).
-4*(t - 1)*(t + 2)
Let i(f) be the third derivative of f**6/180 - 47*f**5/90 + 11*f**4/3 - 143*f**2 + 4. Factor i(j).
2*j*(j - 44)*(j - 3)/3
Factor 5*f**4 - f**5 + 14*f**3 - 4*f**2 + 2*f**5 - 5*f**2 - 2*f**5 - 17*f**3.
-f**2*(f - 3)**2*(f + 1)
Factor 25879*x**4 + 589739*x**2 + 39544*x**2 + 12 + 132821*x**4 + 94203*x**3 - 727623*x**3 + 5508*x.
3*(x - 2)**2*(230*x + 1)**2
Let x(o) = 610*o - 3830. Let i(r) = -r**2 - 614*r + 3819. Let f(c) = -5*i(c) - 6*x(c). Let f(t) = 0. What is t?
7, 111
Let y(n) = 27*n - 4*n - 8*n - 11*n + 2 - 3*n. Let j be y(0). Solve 2/11*t**j + 0 + 2/11*t = 0 for t.
-1, 0
Let o be 1 + (-1)/8*2. Let t = -11075 + 11077. Find w, given that w - 1/4*w**t - o = 0.
1, 3
Let k(b) be the third derivative of 3/140*b**6 + 0*b**3 - 3/35*b**5 + 1/7*b**4 + 0 - 2*b - 34*b**2 - 1/490*b**7. Find d such that k(d) = 0.
0, 2
Let o(d) be the third derivative of d**6/40 + 21*d**5/10 - 469*d**4/8 - 255*d**3 - 3*d**2 + 255. Let o(m) = 0. What is m?
-51, -1, 10
Suppose 4*k - 48 = -4*d, 0 = 4*d + 13*d - 0*d - 153. Factor 8/3 + 16/3*x**k - 17/3*x + 2/3*x**2 - 10/3*x**4 + 1/3*x**5.
(x - 8)*(x - 1)**3*(x + 1)/3
Let b(k) be the second derivative of -13*k**5/120 + 271*k**4/72 - 55*k**3/3 - 9*k**2 + 12578*k. Factor b(g).
-(g - 18)*(g - 3)*(13*g + 2)/6
Suppose 9629 = 2720*s + 1469. Factor 0 + 18/7*y**2 - 2/7*y**4 + 10/7*y + 6/7*y**s.
-2*y*(y - 5)*(y + 1)**2/7
Let x(l) = 5*l**4 - 271*l**3 + 278*l**2 + 18*l + 6. Let w(r) = -r**3 + 3*r**2 + 3*r + 1. Let u(k) = -6*w(k) + x(k). Solve u(h) = 0 for h.
0, 1, 52
Let h(m) be the first derivative of 2*m**3/33 - 30*m**2/11 + 208*m/11 - 6463. Factor h(z).
2*(z - 26)*(z - 4)/11
Let y(p) = -5*p**2 - 101*p - 96. Suppose -87*w + 92*w = -55. Let i(z) = 10*z**2 + 201*z + 191. Let v(n) = w*y(n) - 6*i(n). Suppose v(d) = 0. Calculate d.
-18, -1
Let j = -86552 + 432784/5. Factor j + 63/5*d**2 + 24/5*d**3 + 3/5*d**4 + 66/5*d.
3*(d + 1)**2*(d + 2)*(d + 4)/5
Let h(c) = -4*c**4 + 770*c**3 - 408*c**2 - 16*c + 16. Let t(p) = -2*p**4 + 440*p**3 - 233*p**2 - 9*p + 9. Let l(z) = 9*h(z) - 16*t(z). Factor l(q).
-2*q**2*(q + 28)*(2*q - 1)
Let t be (-6 + (7 - 3))/(-1). Factor v + 146*v**2 - 14*v - 132*v**t - v**3.
-v*(v - 13)*(v - 1)
Let s(u) = -u**3 - 4*u**2 + 11*u + 4. Let q be s(2). Let -f**2 + 5*f**q + 30*f - 4*f**2 - 5*f**3 + 5*f**2 = 0. Calculate f.
-2, 0, 3
Let x(i) be the third derivative of 1/40*i**4 + 3/200*i**6 + 0 - 3/100*i**5 + 0*i**3 - 1/350*i**7 + 3*i**2 - 2*i. Determine d so that x(d) = 0.
0, 1
Let b be ((-24)/64)/(3/(-24)). Suppose -6*o + o + 18 = -r, -6 = -b*o - r. Let -20*u + o*u**2 + u**2 + 0*u**2 = 0. Calculate u.
0, 5
Let j(l) = 4*l + 17. Let g(v) = -2*v - 13. Let a(u) = -5*g(u) - 4*j(u). Let t = 0 + -3. Let c(y) = y**2 + 18*y + 8. Let s(n) = t*c(n) - 8*a(n). Factor s(q).
-3*q*(q + 2)
Suppose -60*o**2 - 5*o**3 - 12 + 47*o + 54*o**2 - 24*o = 0. Calculate o.
-3, 4/5, 1
Factor -3258/5*q**2 - 4/5 - 1890*q**4 + 9558/5*q**3 + 386/5*q.
-2*(3*q - 1)**3*(175*q - 2)/5
Let l be (-46928)/(-2352) - (-84)/49. Factor -65/3*h + l*h**3 + 5/3 - 5/3*h**2.
5*(h - 1)*(h + 1)*(13*h - 1)/3
Let n(a) be the second derivative of 2*a**4/9 - 2915*a**3/9 - 243*a**2 + 4312*a. Factor n(i).
2*(i - 729)*(4*i + 1)/3
Let 2/3 + 2/5*a**3 - 2/3*a**2 - 2/5*a = 0. What is a?
-1, 1, 5/3
Let o(v) = -v - 1. Let p be o(-3). Suppose 5*g = 4*g + p. What is n in 4 + 5 - 5 - 4*n**g = 0?
-1, 1
Suppose 5*o + 13 = 5*f - 7, -4*f - o = 4. Let j(i) be the second derivative of f - 5/6*i**3 + 1/4*i**4 + i**2 - 6*i. Solve j(r) = 0.
2/3, 1
Let 2816/5*q - 698/5*q**2 - 2824/5 - 2/5*q**3 = 0. What is q?
-353, 2
Suppose 3*j + 2*j = -5*j - 4*j. Let m(o) be the first derivative of 1/25*o**5 + 8/15*o**3 + 1/4*o**4 - 3 + j*o + 2/5*o**2. Determine k so that m(k) = 0.
-2, -1, 0
Let d = -183 - -220. Factor 85*z - d*z - 32*z - 4*z**3.
-4*z*(z - 2)*(z + 2)
Let d be (-4)/(-12) + 7/(-3). Let r(t) = 8 + 16*t**2 - t - 3*t**2 - 20. Let i(b) = -4*b**2 + 4. Let f(o) = d*r(o) - 7*i(o). Let f(g) = 0. Calculate g.
-2, 1
Let b(f) be the second derivative of -7 - 5*f + 2*f**2 + 1/54*f**4 - 1/3*f**3. Let b(a) = 0. What is a?
3, 6
Let j(d) be the third derivative of -d**5/390 + 5*d**4/26 - 176*d**3/39 - 199*d**2 - 5. Factor j(l).
-2*(l - 22)*(l - 8)/13
Let b(m) be the first derivative of m**4/20 + 38*m**3/5 + 2166*m**2/5 + 197*m - 85. Let w(t) be the first derivative of b(t). Suppose w(r) = 0. Calculate r.
-38
Let n(i) be the third derivative of -i - i**2 - 1/75*i**5 + 8/15*i**3 + 0 - 1/300*i**6 + 1/15*i**4. Factor n(r).
-2*(r - 2)*(r + 2)**2/5
Let u = -1678 + 1682. Let m(z) be the third derivative of 0 + 12*z**2 + 0*z - 1/4*z**5 + 5/12*z**u + 0*z**3 + 1/24*z**6. Factor m(g).
5*g*(g - 2)*(g - 1)
Let b(u) be the first derivative of 223 + 0*u - 3/2*u**2 - 15/2*u**3. Factor b(g).
-3*g*(15*g + 2)/2
Let c = 335 - 329. Let i(m) = 2*m**2 + 2*m - 4. Let l(u) = -1 - 6*u**2 + 7*u**2 + 0*u**2. Let h(w) = c*l(w) - i(w). Factor h(f).
2*(f - 1)*(2*f + 1)
Let d(r) = -12*r**3 + 82*r**2 - 42*r - 42. Let a(p) = 8*p**3 - p. Let z(j) = -2*a(j) - d(j). Determine h so that z(h) = 0.
-21, -1/2, 1
Let z(s) be the second derivative of 7/6*s**3 + 0 + 0*s**2 + 109*s + 1/2*s**4 - 1/20*s**5. Factor z(x).
-x*(x - 7)*(x + 1)
Let m be (103848/25965 - 4)/((-8)/(-20)). Let z = 6898/22503 - m. Suppose -2/13*q**3 - z + 0*q**2 + 6/13*q = 0. What is q?
-2, 1
Let i be -4 + -5 - 6396/(-656). Factor 0 - i*f**4 + 0*f - 3/2*f**2 + 9/4*f**3.
-3*f**2*(f - 2)*(f - 1)/4
Factor -17/2*h**4 - 42 - 299/2*h**2 + 1/4*h**5 + 66*h**3 + 535/4*h.
(h - 24)*(h - 7)*(h - 1)**3/4
Let c(b) be the first derivative of -b**4/20 - 9*b**3/5 - 191*b**2/10 - 33*b - 2930. Factor c(f).
-(f + 1)*(f + 11)*(f + 15)/5
Solve b**4 - 12/7 + 5/7*b**2 + 44/7*b**3 - 44/7*b = 0.
-6, -1, -2/7, 1
Let f(q) be the third derivative of 0*q**4 + 0