2). Find the common denominator of 75*(f/(-99) + 3) and 13/10.
110
Calculate the least common multiple of 68 + (-17)/((-17)/10) and 16.
624
Suppose -2*c + r - 73 = 0, 5*c + 265 - 50 = -4*r. Suppose 38 = 11*n - 17. What is the common denominator of c and (-2)/5 - (n - (-686)/(-40))?
4
Let t = -15347/4 + 1164941/304. Let q = 17/19 + t. Let f = -59 + 193/2. What is the common denominator of f and q?
16
Suppose -50 = -c - 52. Suppose u = -u - 16. Calculate the smallest common multiple of 9 and u/c - (-1 - 1).
18
Suppose -2*h - 17 = -5*u, -h - h + 2*u - 26 = 0. Suppose -6 = 2*i - 4. Find the common denominator of (-130)/h + i*3 and -69/8.
8
Suppose 5*a = -0*a - 7855. Let c = 7808/5 + a. Find the common denominator of c and -71/4.
20
Let z = -13927 - -250597/18. Calculate the common denominator of 71/440 and z.
3960
Let k = -7 - -22. Let m = k + 1. What is the lowest common multiple of 2 and -4 + 16/4 + m?
16
Let z = 23180 - 463699/20. Calculate the common denominator of z and (-8)/(-2) - 108/64.
80
Let h(k) = -3*k + 5. Let i be h(-3). Let r = 21 - i. Suppose -r*t = -11*t + 12. What is the least common multiple of t and 1?
3
Let i(w) = -13*w + 171. Suppose 12 = 5*u - u. Calculate the smallest common multiple of u and i(13).
6
Find the common denominator of 137/1870 and (18/1080*-2)/((-1)/237).
1870
Suppose 20*q = -2*h + 23*q + 43, 3*h - 65 = 5*q. What is the smallest common multiple of h and 20?
20
Find the common denominator of 42/(-22)*(4 + (-63)/14) and -31/192.
2112
Let o = 88 + -102. Let u(v) = 2*v + 32. What is the smallest common multiple of u(o) and 3?
12
Let h(b) = -46*b**2 - 4*b - 15. Let z be h(-7). Let m = 15741/7 + z. Let j = -3870/12493 + 2/961. Find the common denominator of j and m.
91
Let u be 12/(-18) + (-2679)/(-9). Find the common denominator of u/(-30)*6/9 and -51/4.
20
Let d = 397 + -395. What is the lowest common multiple of d and 33?
66
Suppose 6*p + 6 + 6 = 0. Let j(f) = f**2 + 3*f + 2. Calculate the least common multiple of j(-5) and (-5 - (-5 - p))/(-1).
12
Suppose -7*i + 2*i - 30 = 0. What is the lowest common multiple of 23 and i/(-4)*(-1 + 26/6)?
115
What is the smallest common multiple of 3535/14 + (-1)/2 and 9?
252
Let s = -1319/36 + 135/4. Calculate the common denominator of s and 63/65.
585
Let h(s) = 10*s - 460. Calculate the lowest common multiple of 36 and h(58).
360
Let w(s) = -2*s**2 - 19*s + 10. Let r be w(-9). Suppose r = 7*c - 44. What is the least common multiple of c and 51?
153
Suppose 3*z - 188 = -4*m, -293 = -5*z + m - 18. Suppose 5*c - 248 = l, 0*c = -c - 3*l + z. Calculate the lowest common multiple of 20 and c.
100
Suppose -4*y - 70 = -3*j, 5*j - 7*y = -8*y + 86. What is the lowest common multiple of j and 108?
108
Let j = 1409 - 61987/44. What is the common denominator of 47/16 and j?
176
Suppose 0 = 8*r + 118 - 806. What is the common denominator of 2 + (2 + 1 - r/15) and -79/6?
30
Suppose 3 - 13 = b. Let c = b + 11. Calculate the common denominator of 113/30 and (c/2)/(4/68).
30
Suppose -3*f + 397 = 91. Calculate the lowest common multiple of 2 and f.
102
Calculate the common denominator of 0 + -2*(4355/60)/(-13) and -103/6.
6
Find the common denominator of 5/(-100)*284/(-16) and 125/48.
240
Let j be (-2660)/(-2524) - (-1 - (1 - 3)). Let p = j - -45557/32812. Find the common denominator of 77/10 and p.
260
Suppose 12 = -t + 4*t, -2*t + 60 = -4*w. Let b = -17 - w. What is the common denominator of -3 + b/((-144)/(-26)) and -61/38?
342
What is the least common multiple of ((405/(-18))/(-15))/((-4)/(-352)) and 220?
660
Let b = -257/4 + 137/2. Find the common denominator of b and 10/7.
28
Suppose -3*h - 9 = 0, -h - 4*h = -5*y - 25. Find the common denominator of (230/(-15))/((-5)/(-3)) and 40/(-96) - 6/y.
15
Calculate the smallest common multiple of ((-15)/(-1))/(-7 - 186/(-24)) and 48.
240
Let i = -45 - -49. Suppose i + 10 = o. Suppose -5*a = -2*a, -5*h + 20 = a. What is the least common multiple of o and h?
28
Calculate the common denominator of (-36)/(-9) - 73/(-12) and 111/200.
600
Let p = -1 + 6. Suppose -2 = 4*l - p*l. Find the common denominator of 91/16 and (-1 - -2)*(-83)/l.
16
Calculate the common denominator of -137/24 and (-15)/(-200)*15/(-45).
120
Let j = -1828/15 + 120. What is the common denominator of j and (-6 - -3) + 10/(5*(-24)/(-230))?
30
Let p(q) = 8*q + 182. Calculate the smallest common multiple of 7 and p(-21).
14
Let m(a) = 3*a - 5. Let k be m(4). Suppose 0 = -5*f + k - 2. Calculate the smallest common multiple of (-5 + f)/1 - -10 and 11.
66
Let o = 48 + -70. Let i be (-196)/(-8)*1028/o. Let r = i + 1143. Find the common denominator of -34/11 and r.
11
Calculate the least common multiple of (-100)/15*759/(-22) and 10.
230
Suppose h = -5*c + 70, 11*h - 6*h = c + 12. What is the smallest common multiple of 5 and c?
65
Let r be (-2)/(-19)*(-2)/43. Let f = r + 7705/71896. Let a = 579/176 - f. Calculate the common denominator of a and -101/18.
144
Let g = -6 - -5. Let k = -22195 - -444013/20. Find the common denominator of (-2)/g - 141/(-54) and k.
180
Let f = -20489087236897/316 + 64838941132. Let c = -57471 + f. Let k = c - -10649/948. What is the common denominator of k and 13/10?
30
Suppose 0 = 4*l - 3*j + 3 + 3, -5*l - 5*j = -10. Suppose -5*s + s + 64 = l. What is the least common multiple of 10 and s?
80
Suppose j = -0*v - 3*v + 28, j - 8 = 2*v. Suppose p + o = -o + j, 2*p - 17 = o. What is the lowest common multiple of p and 14?
70
Let f(m) be the first derivative of m**4/4 - 8*m**3/3 + 7*m**2/2 + 4*m + 3. Let v(x) = -4*x + 22. What is the least common multiple of v(0) and f(7)?
44
Let g be ((-8)/10)/(-4) + 28154/(-20). Let a = 1360 + g. Calculate the common denominator of 45/2 and a.
2
Suppose 3*z + 7 = 2*t + 361, 2*z - 2*t - 234 = 0. Calculate the least common multiple of 72 and z.
360
Suppose 1 = 4*x - i, 8*i - 3*i + 5 = -2*x. Suppose 10*q - 11*q + 8 = x. Suppose -8 = 2*j - 6*j. What is the lowest common multiple of j and q?
8
Let p = -135 - -285. What is the smallest common multiple of 60 and p?
300
Let k = 25 - 19. Suppose 30 = -9*r + k*r. Calculate the lowest common multiple of (-18)/12*r/3 and 25.
25
Let i = 13 - 8. Suppose -i*k = -10*k + 10. Suppose -3*r = -5*b - 98, -k*r + 7*r + 3*b - 186 = 0. Calculate the lowest common multiple of r and 1.
36
Suppose 44 = -4*f - 72. Let w = f - -38. Let x = 0 + 3. What is the smallest common multiple of x and w?
9
What is the lowest common multiple of 462 and 5 + (28/(-10))/((-24)/240)?
462
Let p = -1686 + 3441/2. Calculate the common denominator of p and 111/10.
10
Let c = 37 + -19. Suppose -5*s - 9*z + 8*z + 33 = 0, -42 = -5*s - 4*z. Calculate the lowest common multiple of c and s.
18
Let f = 70 + -48. Let i = f - 14. Suppose c - 8 = -n, -6*c - 4*n + 28 = -3*c. What is the smallest common multiple of c and i?
8
Suppose 0*s - 4*s = 16. Let l(i) = -i**3 - 5*i**2 - 3*i + 2. Let u be l(s). Calculate the common denominator of -71/8 and 36/(-3)*u/22.
88
Let g be -3 - -5 - (-5 - -2). What is the common denominator of -37/4 and ((-531)/(-30))/(-2 + g)?
20
Let h = -4109 - -7409. Let x = -52823/16 + h. Let s = x - 261/16. Find the common denominator of s and 46/9.
36
Let l be 8/(-48) - (-167)/(-6). Calculate the common denominator of 59/6 and ((-39)/(-28))/(7/l).
42
Suppose 0 = -5*v + 11 + 39. Calculate the least common multiple of v and (9 + -4 + -3)*3/2.
30
Let d be ((-6)/(-10))/(9/45). Suppose v + d*v + 20 = -4*h, -5*h + 2*v = -10. Suppose -5*o + 50 = -h. Calculate the smallest common multiple of o and 7.
70
Suppose -4*b + 3*q + 366 + 243 = 0, 4*b - 2*q - 614 = 0. Calculate the smallest common multiple of 3 and b.
156
Suppose -4*i - 2*p + 329 = -139, p + 4 = 0. What is the least common multiple of 14 and i?
238
Suppose 2*f = -3*f + 50. Let a = -16 - -10. Find the common denominator of a and ((-36)/(-44))/((-2)/f).
11
What is the common denominator of 3115/(-110) - 4/22 and 3/12 + 25/(-2)?
4
Let a = 3504/13 + -15258/65. Let f = a - 2263/60. What is the common denominator of -3/7 and f?
84
Suppose -40 = -2*a - 3*d, 3*a = d - 5*d + 60. Let k = -392 - -426. Calculate the lowest common multiple of k and a.
340
Let l = 540074/9 - 59885. Let h = -353/3 + l. Calculate the common denominator of h and ((-14)/(-5))/(16/110).
36
Suppose 4*u -