-20) + (2 - k). Let a = p - -1669. What is the common denominator of -77/10 and a?
10
Let l be ((-48)/9)/((10/165)/(-1)). Suppose 0 = -o + 17 - 51. Let a = o + l. What is the least common multiple of a and 20?
540
Let d = -51 - -53. Suppose 5*i + 47 = d*b, -2*b + 5*i + 36 = -b. Let o(v) = v + 7. What is the smallest common multiple of o(5) and b?
132
Suppose 12*s - 4773 + 4389 = 0. Calculate the least common multiple of 66 and s.
1056
Let z = -158805 + 158832. Suppose -13 = -m - 1. Calculate the least common multiple of m and z.
108
Let g be (-12)/(14/(-4) - -3). Let o = -34 + g. Calculate the least common multiple of 6 and ((-4)/o)/(4/120).
12
Let i = 292 + -289. What is the common denominator of ((-17)/i)/((-130)/30 + -3) and -3/112?
1232
Let z = -18653/17760 + 1/3552. What is the common denominator of 12/(-70)*(-91)/4 and z?
20
Let m = -77101587/376 + 615172/3. Find the common denominator of m and -65/16.
2256
Let a = 4201/576 + -1/64. Let m = 58538 + -2458709/42. Find the common denominator of m and a.
126
Let k = -435182/471 + 1503/314. Let n = -933 - k. Let s = -867/2 - -405. Find the common denominator of s and n.
6
Let n = -1567717/228 - -6876. Calculate the common denominator of 61/22 and n.
2508
Suppose -5*l = h - 649, 0 = -8*l + 4*l - 5*h + 536. Let t = l - 99. Calculate the smallest common multiple of 5 and t.
30
Let f(o) = o**3 - 2*o**2 - 8*o + 16. Let q(s) = -2*s**3 + 4*s**2 + 26*s - 6. Calculate the smallest common multiple of f(4) and q(-6).
3312
Suppose -1 = -5*m + 14. Suppose 5*i - 93 = 332. Suppose -141 = -4*l - i. What is the smallest common multiple of m and l?
42
Suppose -5*w - 20771 = 4*b, 3*w - 21*b + 20*b = -12449. Let x = w + 49721/12. What is the common denominator of x and 5/16?
48
Let v = 7974/19 + -24880381/59280. Calculate the common denominator of v and -133/1170.
9360
Let j = 255763/17948 - 1/4487. Find the common denominator of -187/960 and j.
960
Suppose -56*g = -51*g + 4*p - 1788, -5*p - 1095 = -3*g. Find the common denominator of ((g/(-125))/4)/((-3)/(-10)) and 55/9.
45
Let h = 109536 + -127828501/1167. Find the common denominator of 29/42 and h.
16338
Suppose 0 = 3*s - 8 + 35. Let c = 934/7 - 133. What is the common denominator of c and 2/6*7/((-14)/s)?
14
Let w(q) = -23*q - 2. Let k be w(-1). Suppose 9 = 4*x + n + k, 0 = 5*x + 4*n + 4. Find the common denominator of 61/32 and ((-9)/(-12))/(x/(564/9)).
32
What is the common denominator of (-252)/48*(-26)/180 - 0/(-52) and 73/280?
840
Suppose -5*z = -4*b - 206, b + 40 + 40 = 2*z. Let o = 4 + z. Suppose -4*s = -s - o. Calculate the lowest common multiple of 8 and s.
56
Suppose 653 = 6*v - 61. Let i = -39 + v. Calculate the least common multiple of 180 and i.
720
What is the common denominator of 749/2408 + 10 + 618/(-60) and 31/1892?
18920
Suppose 71 = 9*w + 8. Let r be w*(-4)/28*6. Calculate the common denominator of -109/20 and 159/18*7/((-14)/r).
20
Let f = 467903 - 374322343/800. Find the common denominator of -79/10 and f.
800
Let d = -404 + 464. Suppose d = 7*p - 3*p. Calculate the smallest common multiple of p and 21.
105
Suppose 133*f + 1458 = 160*f. What is the least common multiple of 2/5 + 1078/55 and f?
540
Suppose 5 = 5*z - 10. Suppose z*o - 9 = -3*t, -2*t = 4*o + t - 14. Suppose -44 = -o*i + i. Calculate the lowest common multiple of 9 and i.
99
Calculate the common denominator of (-8240)/(-1280)*6/(-93) and -49/6.
744
Suppose 27*k - 6831 = 7*k - 3*k. What is the smallest common multiple of k and 24?
2376
Let h be 1/(-3) + (-3136)/(-192). Let i = -2/6673 + -727345/40038. Calculate the common denominator of 4/(h/20) - -7 and i.
6
Let q = 32194 + -1158893/36. Calculate the common denominator of q and 45/406.
7308
Suppose -105*h - 7155 = -158*h. What is the least common multiple of h and 720?
2160
Suppose 9*l - 2*q = 8*l + 28, 0 = 3*l + 3*q - 120. What is the least common multiple of l and 36?
36
Suppose -4*x = 4*p + 20, 4*p - 4*x + 9 = 13. What is the common denominator of (-8085)/(-280)*p/24 and 55/16?
32
Let u(q) = q**3 + 2*q**2 - 2*q - 2. Let t(m) = 34*m - 29. Let h be t(2). Let w = h + -29. What is the lowest common multiple of u(-2) and w?
10
Let b(d) = d**3 - 22*d**2 + 36. What is the least common multiple of b(0) and 372?
1116
Suppose 3*o + 5*b - 2000 = 0, 10*o - 5*o - 3316 = -4*b. What is the least common multiple of 120 and o?
1320
Suppose 3*k - 25 + 7 = 0. Suppose 0 = 5*z + 15, k*z = -3*b + 2*z + 36. What is the smallest common multiple of b and -35*(6/10 + -1)?
112
Suppose -28*l + 15160 + 23564 = 0. Calculate the lowest common multiple of l and 3688.
11064
Calculate the common denominator of (115 - 109) + (-8103)/1260 and -11/1722.
17220
Let f(o) = -3*o**2 + 30*o. Let k be f(10). Suppose 0 = s - k - 5, n - 28 = -5*s. Calculate the lowest common multiple of 36 and n.
36
Let r = -170 + 75. Let v = r + 90. What is the lowest common multiple of 56 and 14 + -1 + (v - 0)?
56
Suppose -19*l - 2*l + 4872 = 0. What is the common denominator of 121/6 and ((-1)/57)/(l/(-2175))?
456
What is the common denominator of 14/(-49) - ((-1)/14)/(1/487) and 73/2008?
2008
Let d be (1 - 0) + (7 - 12 - -4). What is the smallest common multiple of 2/3*-3 + (d - -22) and 37*3 - (-2)/(-2)?
220
Suppose 10*k - 38 = 32. Suppose 108 = k*m + 24. Suppose 5*l - 62 = -m. Calculate the smallest common multiple of l and 21.
210
Calculate the least common multiple of 220 and (-1760)/(-66)*(-9)/(-6).
440
Let y(i) = 2*i**3 - 81*i**2 + 42*i - 53. What is the smallest common multiple of 28 and y(40)?
756
Let a(s) = 3*s**2 + 95*s + 40. Let z be a(-31). Calculate the common denominator of 101/170 and ((-180)/(-27))/(z/(-15)).
1870
Let j = -237 - -253. Suppose -17 = -j*y + 15. Calculate the least common multiple of y and 39.
78
Let k = -3153/2 - -1579. Find the common denominator of (-5)/(-40)*(-226)/3 and k.
12
Let c = 72 + -30. Calculate the lowest common multiple of c and 78.
546
Let a = 1614/11 + -147. Suppose -32*j + 18 = -29*j. Calculate the common denominator of a and 213/30 - 4/8*j.
110
Let k(m) = -6*m**2 + 2*m - 5. Let x be k(2). Let v be (-1184)/18 - (x/9 + 3). What is the common denominator of -6 - -5 - (v/116 - 0) and 91/12?
348
Let a be 1*(3 + -214)*1. Let h = -175 - a. Calculate the least common multiple of h and 66.
396
Calculate the lowest common multiple of 35 and ((-7032)/(-8790))/((4/350)/1).
70
Let x = -1675450804/50355 + -5502780/373. Let c = 48026 + x. Find the common denominator of 187/180 and c.
540
Let b = -2 + 4. Suppose -6*y = -b*y - 48. What is the least common multiple of -2*(1 + y/(-4)) and 6?
12
Let q be (-43 - -41)*(-94)/4. Calculate the common denominator of 47/10 and (-214)/(-29)*q/564.
870
What is the common denominator of (-2105)/140 - -14 - -2 and -21/194?
2716
Find the common denominator of -57/13402 and ((-5)/10)/(12/(-171)*4/8).
26804
Calculate the common denominator of 67/2356 and 1609/(-200) + 20/(-250).
4712
Suppose 4*y = 5*a - 3*a - 10, -14 = 2*y - 4*a. What is the smallest common multiple of 27 and y*(14/91 + (-2112)/39)?
54
Suppose -v = 17 + 102. Let g = -10881/16 - -682. Calculate the common denominator of g and ((-10)/(-4))/(34/v).
16
Let b = -74 - -77. Let k be b - (-2 - (1 + 0)). Calculate the common denominator of (-24)/14 + k/3 and 55/8.
56
Let c = 9295523/8346 + 552/1391. Let p = c - 1122. Calculate the common denominator of 17/22 and p.
66
Suppose -3*g = -3*i + 161 - 47, 4*i + g = 142. Calculate the smallest common multiple of 65/(3315/(-136))*(-4 + 2)*3 and i.
144
Let q = 2400/23 - 16355/138. Calculate the common denominator of -21/443 and q.
2658
Let m(q) = -7*q**2 - 15*q + 1. Suppose -8 = -33*b + 37*b. What is the smallest common multiple of 33 and m(b)?
33
Suppose 33*m - 6835 - 24215 = -13*m. What is the smallest common multiple of m and 540?
2700
Let f(q) = 2*q**3 - 30*q**2 + q + 252. What is the lowest common multiple of 780 and f(16)?
780
Let d = 3256 + -65131/20. What is the common denominator of -9/4 and d?
20
Suppose -4*v - 4 = -48. Suppose v*y - y = 120. Calculate the smallest common multiple of y and 8.
24
Let k = 17211/4 - 4281. What is the common denominator of k and (-8)/(-16)*14*7*-1?
4
Let x be (183 - 0) + -2 + 3. Suppose -11 - 30 = -j + 5*t, 4*t = 5*j - x. Let l = -16459 - -16463. What is the lowest commo