*d**5 - 43*d**2 - 1/2688*d**8 + n. Factor t(x).
-x**4*(x - 1)/8
Let x(f) = -f**3 - 3*f**2 + 11*f - 13. Let n be x(2). Let b(o) = -8*o**2 - 87*o + 11. Let p be b(n). Factor 0*d + 2/9*d**2 + p - 2/9*d**4 + 2/9*d**5 - 2/9*d**3.
2*d**2*(d - 1)**2*(d + 1)/9
Factor 32/7*h**2 + 0 + 4/7*h**3 + 60/7*h.
4*h*(h + 3)*(h + 5)/7
Let t(z) = -129*z**2 + 104*z + 30. Let n(j) = -j**3 + 129*j**2 - 103*j - 29. Let y(m) = -5*n(m) - 4*t(m). Determine p, given that y(p) = 0.
-1/5, 1, 25
Let q(z) be the third derivative of -z**5/180 + 353*z**4/24 + 530*z**3/9 - 2342*z**2. Factor q(v).
-(v - 1060)*(v + 1)/3
Let l(q) be the second derivative of -2*q - 45 - 2*q**3 - 1/12*q**4 - 10*q**2. Suppose l(v) = 0. What is v?
-10, -2
Factor -156/7 - 2/7*s**2 - 38/7*s.
-2*(s + 6)*(s + 13)/7
Solve 0 + 0*i + 444*i**2 + 3/2*i**3 = 0 for i.
-296, 0
Factor 26833*v + v**2 + 9 - 26843*v + 0*v**2.
(v - 9)*(v - 1)
Let s = -456 - -458. Suppose 2*f - 2*h + 2 = 0, 3 = s*f - 3*h + 9. Solve 3/2*k**4 - 21/2*k + 27/2*k**2 - 15/2*k**f + 3 = 0 for k.
1, 2
Let w(b) be the first derivative of 28*b**3/15 + 7802*b**2/5 + 4456*b/5 + 2883. Factor w(u).
4*(u + 557)*(7*u + 2)/5
Let z be ((20/(-3))/(-2))/((-326)/(-489)). Let p = 0 + 0. Solve -2*b**2 - 6*b**4 + p*b**2 + 0*b**3 - 5*b**3 - b**3 - 2*b**z = 0 for b.
-1, 0
Suppose -60/13*s**3 - 2/13*s**5 + 190/13*s - 44/13*s**2 + 150/13 + 22/13*s**4 = 0. What is s?
-1, 3, 5
Let i(k) be the first derivative of 5*k**4/4 + 100*k**3/3 + 85*k**2/2 - 190*k + 1616. Suppose i(h) = 0. Calculate h.
-19, -2, 1
Suppose 0 = -44*l + 8*l - 43*l - 4063 + 26183. Determine t so that -415*t - l + 1415/2*t**2 - 25/2*t**3 = 0.
-2/5, 1, 56
Let p(c) be the third derivative of c**5/45 - 7*c**4/2 + 244*c**3/9 - 40*c**2 - 7. Find d such that p(d) = 0.
2, 61
Factor -7050*t + 7123*t - t**4 + t**2 - 103*t**3 + 30*t**3.
-t*(t - 1)*(t + 1)*(t + 73)
Factor 28*n**2 - 384 + 3351*n**3 - 80*n - 1664*n**3 - 1683*n**3.
4*(n - 4)*(n + 3)*(n + 8)
What is o in 60 + 109/2*o - 1/4*o**3 - 23/4*o**2 = 0?
-30, -1, 8
Suppose -6*j + 2*j + p = -6 + 4, 0 = -2*j + 4*p - 20. Let b = 10 + -6. Factor 3*s**3 + 2*s**j - 4*s + 1/2*s**5 + 0 - 5/2*s**b.
s*(s - 2)**3*(s + 1)/2
Let o(a) be the first derivative of 9/32*a**4 - 38 - 7/3*a**3 + 57/16*a**2 - 5/4*a. Factor o(w).
(w - 5)*(w - 1)*(9*w - 2)/8
Find a, given that 10/3*a + 0 + 2/3*a**4 + 22/3*a**2 + 14/3*a**3 = 0.
-5, -1, 0
Let n(v) be the first derivative of -v**6/2520 - v**5/105 - 12*v**3 - 47. Let z(t) be the third derivative of n(t). Determine a, given that z(a) = 0.
-8, 0
Suppose 5*c - 4*b - 6 = -b, 8 = 3*c - 4*b. Factor 1/2*m**3 + c*m + 1/4*m**2 + 1/4*m**4 + 0.
m**2*(m + 1)**2/4
Let s = -1942/17 - -538036/4709. Let z = s - -452/4709. Let -z*f - 2/17*f**3 + 0 - 4/17*f**2 = 0. Calculate f.
-1, 0
Factor -1048576/3 + 2048/3*s - 1/3*s**2.
-(s - 1024)**2/3
Let o(i) be the third derivative of 0*i**3 + 19/315*i**7 - 7/10*i**6 + 0 - 6*i**4 + 18/5*i**5 + 4*i**2 - 1/504*i**8 - 30*i. Determine c, given that o(c) = 0.
0, 1, 6
Let o(r) be the second derivative of 17/66*r**4 - 4/231*r**7 + 3*r + 7/11*r**3 - 17/110*r**5 + 4/11*r**2 - 68 - 7/55*r**6. Solve o(i) = 0.
-4, -1, -1/4, 1
Let n be (35 + (-663)/18)*54/(-88). Find u, given that 3/4 + 6*u**4 - 3/4*u**2 + n*u**5 - 25/8*u + 8*u**3 = 0.
-3, -2, -1, 1/3
Let x be -8*1 - (-12 + 184/48). Let v(p) be the first derivative of -1/12*p**4 + 0*p**3 + x*p**2 - 13 + 0*p. Factor v(o).
-o*(o - 1)*(o + 1)/3
Factor 9600 - 388*a - 520*a - 234*a**2 - 3*a**3 - 3412*a.
-3*(a - 2)*(a + 40)**2
Suppose -4*c - 4 = 0, 5*f + c = 6*c + 5. Suppose f = 2*b + 11 - 41. Solve b*k**3 - 6*k**3 - 18*k**2 - 54 - 4*k**3 + 54*k - 3*k**3 = 0 for k.
3
Let g(f) be the first derivative of -4*f**3/3 - 34*f**2 - 168*f + 503. Factor g(x).
-4*(x + 3)*(x + 14)
Let g(p) be the second derivative of 23*p + 256*p**4 + 1/15*p**6 + 1 + 16384/3*p**3 + 32/5*p**5 + 65536*p**2. Factor g(m).
2*(m + 16)**4
Let f(p) = -122 + 14*p + 146 - 2*p. Let g be f(-2). Factor 4/3*t**4 + 0 + g*t + 0*t**2 - 8/3*t**3.
4*t**3*(t - 2)/3
Let y(o) = -86*o + 2066. Let m be y(24). Let b(j) be the first derivative of -4/5*j**5 + 24*j**m - 52/3*j**3 + 6*j**4 - 16*j + 11. Factor b(s).
-4*(s - 2)**2*(s - 1)**2
Let z = 83867 + -922465/11. Solve 0*g + z*g**2 - 80/11*g**3 + 26/11*g**4 - 2/11*g**5 + 0 = 0.
0, 2, 9
Let r(f) = 5*f**2 - 96*f + 227. Let p(m) = -135*m**2 + 2595*m - 6130. Let k(u) = -2*p(u) - 55*r(u). Determine a, given that k(a) = 0.
3, 15
Factor 20 + 749*u - 945*u + 12 + 131*u**2 + 33*u**2.
4*(u - 1)*(41*u - 8)
Let d(g) = g**4 - g**3 + g**2 + 1. Let n(r) = 3*r**5 - 15*r**4 - 9*r**3 - 9*r**2 + 18*r - 12. Let o(l) = 12*d(l) + n(l). Find w, given that o(w) = 0.
-2, -1, 0, 1, 3
Let n(y) = -8*y**3 - 817*y**2 - 1189*y - 398. Let f(x) = 40*x**3 + 4084*x**2 + 5936*x + 1988. Let k(i) = -3*f(i) - 16*n(i). Factor k(u).
4*(u + 1)*(u + 101)*(2*u + 1)
Suppose -11*y + 5*y + 984 = 0. Factor 4*b**3 + 0*b**3 + 192*b - 2*b**3 - y*b - 30*b**2.
2*b*(b - 14)*(b - 1)
Let c = -243 + 243. Let d be (-20)/(-6)*(6 - (-432)/(-80)). Factor c*k - 1/4*k**4 + 0 - 1/2*k**3 - 1/4*k**d.
-k**2*(k + 1)**2/4
Find s such that -839 + 4548*s**2 - 534067*s + 136642*s - 13*s**3 - 60411 = 0.
-2/13, 175
Let q(v) be the first derivative of 0*v - 5/6*v**6 + 10/3*v**3 - 135 - 2*v**5 + 5/2*v**2 + 0*v**4. Suppose q(y) = 0. What is y?
-1, 0, 1
Let o(q) = q + 6. Let k be o(-3). Suppose -2*v - 2*m + 30 = k*v, 3*m = -2*v + 23. Factor -8*n + 6 - 5*n**2 + v*n + n**2 + 2*n**2.
-2*(n - 1)*(n + 3)
Let o(k) be the third derivative of k**5/330 - 29*k**4/44 - 8*k**3/3 - 52*k**2 - 4. Suppose o(a) = 0. Calculate a.
-1, 88
Factor 80*b - 34*b**2 + 6*b**2 + 6*b**2 + 18*b**2.
-4*b*(b - 20)
Suppose -4*z = d + 2905, -4*d + 1455 = -2*z - 5*d. Let n = -723 - z. Factor 2/7 + 12/7*j**n + 2*j.
2*(j + 1)*(6*j + 1)/7
Let o be (-35)/(140/(-48)) - 8. Let m(w) be the third derivative of w**3 + 1/540*w**6 + 10*w**2 + 0 + 1/30*w**5 + 1/4*w**o + 0*w. Factor m(a).
2*(a + 3)**3/9
Let v(u) be the second derivative of u**4/10 - 88*u**3/15 - 31*u**2 - 347*u. Suppose v(k) = 0. What is k?
-5/3, 31
Suppose 0 - 29*p**2 - 16*p**4 - 1/2*p**5 + 0*p - 89/2*p**3 = 0. Calculate p.
-29, -2, -1, 0
Let c(k) = 43*k + 43. Let q be c(-1). Suppose -2*x + 3*x - 5 = -3*l, -2*x - 2 = q. Find j, given that 1/2*j**2 + 1/2*j**3 - 2 - l*j = 0.
-2, -1, 2
Let t = 661 - 658. Solve -67*o**2 + 20*o**t + 82*o**2 + 4*o**4 + o**4 = 0.
-3, -1, 0
Suppose 0 = 2*k - 36*u + 33*u - 22, -2*k + 26 = -4*u. Factor 3*i**3 + 15*i**2 + 18*i + 5*i**2 - 4*i**3 - 2*i**3 + k*i**3.
2*i*(i + 1)*(i + 9)
Suppose 10 = -v + 5*x, 0*v - 2*v - 2*x = -4. Let 4*p + v*p**4 - 25*p**2 + 8*p**4 + 5*p**3 + 11*p - 3*p**4 = 0. What is p?
-3, 0, 1
Let z(b) = -493*b**2 - 3938*b + 51. Let y be z(-8). Let 27/4*s - 7/2 - 1/4*s**y - 3*s**2 = 0. Calculate s.
-14, 1
Let g(f) = -f**2 - 4590*f + 4631. Let n(m) = 2*m**2 + 4590*m - 4622. Let j(h) = 3*g(h) + 4*n(h). Find c such that j(c) = 0.
-919, 1
Let v(a) = 18*a**3 + 5*a**2 - 69*a - 21. Let n(b) = 8*b**3 + 2*b**2 - 30*b - 10. Let t(c) = 5*n(c) - 2*v(c). Solve t(o) = 0.
-1, 2
Let i(x) = x**2 + 26*x - 24. Let p be i(-27). Determine t so that 38/7*t**4 - 230/7*t**p + 482/7*t**2 - 416/7*t + 128/7 - 2/7*t**5 = 0.
1, 8
Solve 3097419*l - 1222907401 - 3343*l**2 + 41975208 + 172*l**2 + 254328*l + 3*l**3 - 2*l**3 = 0 for l.
1057
Let p = -1484913364 + 58328881837022/39281. Let b = 2/3571 - p. Factor -4/11*i + 2/11 - 2/11*i**4 + 0*i**2 + b*i**3.
-2*(i - 1)**3*(i + 1)/11
Let t be (-69)/(-30015)*-29 + 54/10. Solve -12*a**2 + 4/3*a**3 + 4/3*a**4 + 44/3*a - t = 0 for a.
-4, 1
Suppose 3*x + t = -486, -3*x + 8*x - 4*t + 810 = 0. Let d = 816/5 + x. Let 3/5*n**3 + 0*n - 3/5*n**4 + d*n**2 + 0 = 0. What is n?
-1, 0, 2
Let f(s) be the second derivative of -s**5/120 + s**4/6 - 41*s**3/36 + 5*s**2/2 - 134*s + 30. Factor f(t).
-(t - 6)*(t - 5)*(t - 1)/6
Let p(y) be the third derivative of 15*y**2 + 0*y**4 + 0*y**3 + 1/390*y**5 + 0*y + 2 - 1/780*y**6. Suppose p(b) = 0. What is b?
0, 1
Let u(f) be the first derivative of -2/15*f**6 - 31 + 0*f**2 + 0*f + 0*f**3 - 8/25*f**5 + 8/5*f**4. Let u(x) = 0. What is x?
-4, 0, 2
Let f be 7 + -21 - (-300)/21. Let c(m) be the second derivative of -1/42*m**4 + f*m**3 + m**2 + 0 - 41*m. Determine a, given that c(a) = 0.
-1, 7
Let b be -5*(0 - (2 - 1)). Let m be 8/(-10)*b/(-2). Let -29 - m*y**4 + 2*y