ctor o(y).
(y - 16)**2*(y + 1)
Let b be (21/(-70)*(-10)/(-24))/(143/(-429)). Let x(u) = u**2 - 3*u - 2. Let p be x(-1). Factor -3/8*i + 0 + b*i**p.
3*i*(i - 1)/8
Let g(k) be the third derivative of 5*k**6/48 + 569*k**5/24 + 283*k**4/6 + 113*k**3/3 - 1431*k**2. Let g(d) = 0. What is d?
-113, -2/5
Let r(g) be the third derivative of -g**7/210 - g**6/40 + 3*g**5/4 + 175*g**4/24 - 1926*g**2. Determine x, given that r(x) = 0.
-5, 0, 7
Let c(v) be the second derivative of v**4/6 + 17*v**3 - 220*v**2 + 1377*v. Factor c(w).
2*(w - 4)*(w + 55)
Let c(y) = -73 + 12*y**4 + 95*y**2 - 5*y**3 + 41*y**3 + 109 + 40*y**2 + 150*y. Let o(p) = -p**4 - 4. Let z(w) = c(w) + 9*o(w). Determine u so that z(u) = 0.
-5, -2, 0
Suppose 4*i - 18 = -5*j, 6 = -i - 3*j + 7*j. Let u(w) be the first derivative of 5/3*w**3 - 5/2*w**i - 30 - 30*w. Factor u(p).
5*(p - 3)*(p + 2)
Let g(q) be the first derivative of -q**6/12 + 17*q**5/10 - 13*q**4/8 - 53*q**3/6 + 41*q**2/2 - 16*q - 3084. Suppose g(t) = 0. What is t?
-2, 1, 16
Let k = 381 - 379. Let f be 3 - (3*4)/(-4). Suppose 53*t - 10 - t - 13*t**k - 27*t**2 - f = 0. What is t?
1/2, 4/5
Let h = 127/1110 - 3/37. Let m(p) be the second derivative of 0*p**2 - 1/6*p**4 - 18*p - 2/9*p**3 + 0 - h*p**5. Factor m(t).
-2*t*(t + 1)*(t + 2)/3
Factor -88 - 3/2*s**2 - 1/2*s**3 + 36*s.
-(s - 4)**2*(s + 11)/2
Let n = -2/61659 - -41108/61659. Factor -n*a**2 + 0*a + 0 + 2/3*a**4 + 0*a**3.
2*a**2*(a - 1)*(a + 1)/3
Let s = -3659832/5 + 727887. Let o = s + 4099. Suppose -28/5*q + 2/5*q**2 + o = 0. Calculate q.
7
Let i(u) be the second derivative of 2*u**7/21 - 2*u**6 + 14*u**5/5 - 11*u - 27. Factor i(l).
4*l**3*(l - 14)*(l - 1)
Let l(h) be the second derivative of 14*h**4/9 + 55*h**3/18 - h**2/6 + 196*h + 1. Factor l(d).
(d + 1)*(56*d - 1)/3
Let k be -1 + (14 + -20 - (-1 - 3)). Let f(p) = 4*p**2 + 224*p + 220. Let a(j) = j**2 + 45*j + 44. Let w(g) = k*f(g) + 16*a(g). Factor w(z).
4*(z + 1)*(z + 11)
Let u be 17/1 - (7 + -4). Suppose 5*h - u = -3*g, -11 = g - 5*g + h. Factor 0 + 0*c**2 + 2/11*c**5 + 0*c**4 - 4/11*c**g + 2/11*c.
2*c*(c - 1)**2*(c + 1)**2/11
Let z be ((75/12)/(-5))/((-21593)/7852). Determine v, given that 16/11*v + z + 3/11*v**2 = 0.
-5, -1/3
Let h(j) = j**3 - 10*j**2 - 10*j - 1. Suppose a - 24 - 9 = -3*c, 5*a = 4*c - 44. Let u be h(c). Factor 2*n - 18*n**2 + 6*n + 16*n**2 - u + 4*n.
-2*(n - 5)*(n - 1)
Let p be 126 + (-32080)/280 + (-7 - (-2)/(-4)*2). Solve 16/7*b - 2/7*b**2 - p = 0 for b.
2, 6
Let w(n) be the first derivative of 3*n**5/10 - 771*n**4/8 + 255*n**3/2 + 771*n**2/4 - 384*n + 377. Solve w(g) = 0.
-1, 1, 256
Let t(h) be the second derivative of 1/6*h**3 + 1 + 1/36*h**4 + 0*h**2 + 40*h. Factor t(d).
d*(d + 3)/3
Let k = -8 + 10. Suppose -z = 5*l - 34 - 61, 0 = l - 5*z - 45. Factor 868*g**2 + 404*g + 1125*g**3 + 557*g**k + l - 84*g.
5*(g + 1)*(15*g + 2)**2
Let f(h) be the third derivative of -3125*h**8/336 - 4625*h**7/42 + 350*h**6 - 1310*h**5/3 + 890*h**4/3 - 120*h**3 - 7*h**2 + 2*h - 23. Factor f(p).
-5*(p + 9)*(5*p - 2)**4
Let b(h) be the first derivative of -4/3*h**3 + 200*h**2 + 132 - 10000*h. Factor b(y).
-4*(y - 50)**2
Let d be 3129/15 + 30/75. Factor 203*a - d*a - 2*a**2 + 7*a**2 - 3*a**2 - 8.
2*(a - 4)*(a + 1)
Factor 247935*w**2 + 530 - 153*w - 247932*w**2 + 670 + 3*w.
3*(w - 40)*(w - 10)
Let n(x) be the first derivative of -x**5/10 + x**4/3 + 4*x**3/3 + 77*x**2/2 - 47. Let i(z) be the second derivative of n(z). Solve i(y) = 0 for y.
-2/3, 2
Factor 2883*h**2 + 1227*h**2 - 1773*h**4 - 12800*h + 1778*h**4 + 12640 - 445*h**3.
5*(h - 79)*(h - 4)**2*(h - 2)
Let a(j) be the third derivative of -j**5/120 + 7*j**4/16 - 49*j**3/6 + 2*j**2 + 3. Factor a(d).
-(d - 14)*(d - 7)/2
Let c be (-27)/63 - (-10)/(-28)*-312. Factor 43 - 3 - 5*v**2 + 121*v - c*v.
-5*(v - 4)*(v + 2)
Let d be (-12)/(-216)*-15*(204/(-30) + 6). What is p in -2/9*p**2 - 4/9 + d*p = 0?
1, 2
Factor 4/5*t**3 - 4*t + 0 + 16/5*t**2.
4*t*(t - 1)*(t + 5)/5
Let b(h) be the first derivative of 3/5*h + 2/5*h**2 + 1/15*h**3 + 71. Find r, given that b(r) = 0.
-3, -1
Let w(c) = 15*c**4 + 2364*c**3 + 620157*c**2 + 53951829*c - 54574338. Let y(m) = -4*m**4 - m**2 - 3*m - 1. Let g(l) = w(l) + 3*y(l). Find f such that g(f) = 0.
-263, 1
What is o in 831*o**2 + 169*o**2 - 5*o**3 + 1634 - 247*o - 389 + 2732*o + 235*o**2 = 0?
-1, 249
Suppose 2*q + 4*m - 1 = -13, -3 = 3*q + 3*m. Suppose 92*p**4 - 2*p**2 + 89*p**4 - 183*p**4 - q*p**3 = 0. What is p?
-1, 0
Let y(b) = -15*b + 154. Let k be y(10). Let g(l) be the first derivative of -10 + 2*l**4 + 0*l**3 - k*l**2 + 4*l - 4/5*l**5. Factor g(i).
-4*(i - 1)**3*(i + 1)
Let v be (-2)/(-7) + (-11)/((-7315)/(-57)). Let j(n) be the second derivative of -v*n**3 + 0 + 15*n + 1/20*n**4 + 3/10*n**2. Determine p so that j(p) = 0.
1
Let u(f) be the second derivative of f**5/60 - 199*f**4/36 - 809*f**3/18 - 203*f**2/2 - 1935*f. Determine j, given that u(j) = 0.
-3, -1, 203
Solve 16*u - 40 - 1/2*u**4 + 12*u**2 - 4*u**3 = 0 for u.
-10, -2, 2
Let l = 204682 - 204679. Suppose -6/5*o**l + 2*o - 4/5*o**2 + 8/5 = 0. Calculate o.
-1, 4/3
Let o(l) be the first derivative of l**6/1080 + 5*l**5/36 + 625*l**4/72 + 7*l**3/3 + 3*l**2 - 25. Let n(y) be the third derivative of o(y). Solve n(j) = 0.
-25
Let o be (0 - -4)/((-390)/(-59 + 20)). Let z(j) be the first derivative of 0*j**3 - 4 + 0*j + 3/8*j**4 + o*j**5 + 0*j**2 + 1/12*j**6. Factor z(t).
t**3*(t + 1)*(t + 3)/2
Let y(p) be the first derivative of -p**4/16 + 167*p**3/6 - 993*p**2/8 - 9104. Let y(g) = 0. What is g?
0, 3, 331
Let d(w) be the second derivative of -55*w**4/4 + 64*w**3 - 54*w**2 - 4864*w. Suppose d(c) = 0. What is c?
18/55, 2
Let v(m) be the third derivative of -m**6/160 - 51*m**5/80 + 105*m**4/32 - 53*m**3/8 - 1911*m**2. Factor v(b).
-3*(b - 1)**2*(b + 53)/4
Let l = 122 - 1094/9. Let v be (8 + 198/(-24))/((147/56)/(-21)). Suppose -v*c**2 - l + 22/9*c = 0. What is c?
2/9, 1
Let w(y) be the second derivative of -8 + 2/3*y**4 + y - 11/6*y**3 + 3/2*y**2. Factor w(n).
(n - 1)*(8*n - 3)
Let r(j) = 40*j**2 + 4080*j + 346814. Let z(x) = 14*x**2 + 1360*x + 115605. Let v(s) = 5*r(s) - 14*z(s). What is l in v(l) = 0?
-170
Suppose 1/2*b**4 + 0 + 1295/2*b**2 - 1225/2*b - 71/2*b**3 = 0. Calculate b.
0, 1, 35
Let f(c) be the third derivative of c**5/30 + 7*c**4 + 83*c**3/3 + 7340*c**2. Solve f(w) = 0.
-83, -1
Let i(h) = 2*h**4 - 242*h**3 + 928*h**2 - 1165*h + 459. Let k(x) = x**4 - 121*x**3 + 465*x**2 - 583*x + 230. Let q(d) = 4*i(d) - 9*k(d). Solve q(u) = 0 for u.
1, 2, 117
Let x(m) be the second derivative of m**5/25 + 8*m**4/15 - 2*m**3/15 - 16*m**2/5 + 410*m + 1. Factor x(y).
4*(y - 1)*(y + 1)*(y + 8)/5
Let -129472 + 544*m - 4/7*m**2 = 0. Calculate m.
476
Suppose 3*k - t - 4 = 5, -4*k - 2*t + 2 = 0. Factor -4*r**3 + 8000 + 11*r**3 - 6*r**3 + 60*r**k + 1200*r.
(r + 20)**3
Let j be 1414140/319680 - (-1)/48. Factor -2/9*h**3 + 26/3*h - j - 4*h**2.
-2*(h - 1)**2*(h + 20)/9
Factor -i**5 - 4*i**2 - 133377*i**4 + 2*i**3 + 133375*i**4 + 8*i**3 - 3*i**3.
-i**2*(i - 1)**2*(i + 4)
Let j(r) = -3969*r**4 - 2895*r**3 - 781*r**2 - 92*r - 7. Let l(f) = 3969*f**4 + 2896*f**3 + 781*f**2 + 92*f + 6. Let b(m) = 2*j(m) + 3*l(m). Factor b(i).
(7*i + 1)**2*(9*i + 2)**2
Let y(u) be the first derivative of 0*u + 95 + 0*u**2 + 3/20*u**4 + 0*u**5 - 1/30*u**6 - 2/15*u**3. Find g such that y(g) = 0.
-2, 0, 1
Let r be 19104/36 - (-5)/(-3). Factor -46*f - r*f**2 + 9 + 3 - 13.
-(23*f + 1)**2
Factor 12*b + 116*b**2 + 2544144 - 2544144.
4*b*(29*b + 3)
Let v(k) = -k**2 + 75*k - 96. Let w be v(21). Let m = w - 1035. Factor 3/5*s**m - 3/5*s**2 - 3/5*s + 0 + 3/5*s**4.
3*s*(s - 1)*(s + 1)**2/5
Let l(p) = p**2 + 10*p + 8. Let y be l(-8). Let o = -2 - y. Find f such that -1 + 10*f**2 - 34*f - 5*f**2 + 24*f + o = 0.
1
Let w be (3/(-36))/((-4)/38 - (-666)/9576). Suppose 2*p + 2*p = 2*j + 2, 11 = 4*j - 3*p. Let 5/3*s**3 + 0 - w*s**j + 3*s**2 - 3*s**4 + 2/3*s = 0. Calculate s.
-1, -2/7, 0, 1
Let o = 12832082/7 - 1833150. Factor -o*v**3 + 0*v + 30/7*v**2 + 0 + 2/7*v**4.
2*v**2*(v - 15)*(v - 1)/7
Let x(c) be the third derivative of 29*c**6/120 - c**5/30 + c**3/6 + 13*c**2. Let q be x(1). Factor 229*a**2 - 8*a - 224*a**2 + q*a + 20.
5*(a + 2)**2
Let u(f) be the first derivative of -f**5/60 + f**4/9 + 11*f**3/18 + f**2 + 64*f - 28. Let g(n) be the first d