Let c = g + -40. Let k = 17 + c. Calculate the least common multiple of k and 6.
12
Let b be (13/(-2) + 6)/((-2)/4). Calculate the least common multiple of 6 and -16 - -16 - (-76)/b.
228
Let i = -13804 - -165709/12. What is the common denominator of -16/725 and i?
8700
Let n(c) = -27*c - 1679. Calculate the lowest common multiple of n(-63) and 3546.
39006
Suppose 16*o + 26 = 26. Suppose -2*c - 2*p + 8 = 0, -2*c + o*c + 5*p - 6 = 0. What is the smallest common multiple of 8/6*(8 + 1) and c?
12
Let i = -41618 + 41706. Let s(h) = 3*h**2 - 2*h. What is the lowest common multiple of s(-3) and i?
264
Let n = -7/2635 + 193384/387345. What is the common denominator of (6 + 58 + (-6 - (-17 - -2)))/54 and n?
2646
Suppose -3*j + 80 = j. What is the lowest common multiple of 1305/(-49590) - (-1370)/76 and j?
180
Let v = -26518 - -1060827/40. Find the common denominator of v and 9/2200.
2200
Let z = 408 - 859/2. Let c = z + 151/6. Calculate the common denominator of c and 91/4.
12
Let b = -498825/114478 + 2/8177. Suppose -5*y + 10 = 0, 3*f - 872 = -2*y + 584. What is the common denominator of f/(-336) + 8/(-12) and b?
28
Suppose -w + 3*u = 1 - 7, 0 = -w + u + 2. What is the common denominator of -113/18 and (-23)/72 - (w + (-4 - -2))?
72
Suppose 4*p + 11 = 219. Let w = p - 32. Suppose 36*k - 37*k + 131 = -t, 4*k = t + 527. What is the smallest common multiple of w and k?
660
Suppose 14*o - 3*r + 4329 = 17*o, -o + 1467 = 5*r. Calculate the lowest common multiple of o and 3.
1437
Let z be (544/(-120))/((-996)/(-18)). Let r = -23219/14940 - z. Find the common denominator of -61/68 and r.
612
What is the least common multiple of 532 and (6/(-9))/((-3)/21 + 380/4620)?
5852
Suppose -22934 - 4630 - 3408 = -89*y. What is the smallest common multiple of y and 638?
3828
Suppose 8*w = -6 - 18. Find the common denominator of (3 - (-45)/2)/(w + 33) and 43/45.
180
What is the smallest common multiple of 1525/825 + 10/(-6) + (-6134)/(-22) and 93?
279
Let u(z) = -z**3 + 6*z**2 + z + 47. Let k be u(7). What is the common denominator of -31/302 and 28/(-182) + ((-735)/(-26))/k?
302
Calculate the common denominator of -23/40 and (3/(-120))/(2482/14235).
1360
Let a = -14/13 + 643/585. Calculate the common denominator of (-20)/(-2) + (-3982)/396 and a.
90
Suppose -10 + 66 = 4*h. Find the common denominator of (-1388)/(-804) + h + -16 and -65/24.
1608
Let o = 26776 + -19450. What is the lowest common multiple of 111 and o?
7326
Let u = 1/54291 - 328732009/217164. Let z = u - -48355/32. What is the common denominator of 17/9 and z?
288
Let l = 1700 + -248. Let n = -81 - l. Calculate the common denominator of (n/36)/7 + (3 - 2) and -91/15.
60
Let u = 12673 - 12289. What is the smallest common multiple of u and 10?
1920
Suppose 0*i + i - 10 = -2*m, 4*i - 4*m = 28. Let u be -2 + (i/2 - -1). Find the common denominator of (1 - (u - (-59)/(-9))) + -3 and -71/3.
9
Let b = -960 - -1684. What is the lowest common multiple of 8 and b?
1448
Suppose -39*a - 1870 = -50*a. Let t = 200 - a. Calculate the smallest common multiple of t and 20.
60
Let f(z) = -z**2 - 75*z + 1274. Calculate the smallest common multiple of 1092 and f(-89).
1092
Let d = 7557702259088/7293 - 1036295389. Let g = -33686 - -7444711/221. Let r = g - d. Calculate the common denominator of r and 13/6.
66
What is the least common multiple of 4050/(-1215)*2/4*-27 and 25?
225
Let c = -124 + 132. Let v(i) = -2*i**3 + 15*i**2 - 3*i + 17. Let b be v(c). Let y = b + 101. Calculate the lowest common multiple of y and 18.
90
Let a = -88 + 83. Calculate the common denominator of 4 + a + 18/(-10)*-7 and 33/2.
10
Suppose 948*k = 958*k - 15 - 15. Let w(s) = 3*s**2 - 2 - 3 + 1 + 5*s. What is the lowest common multiple of 4 and w(k)?
76
Let u(g) = -611*g**2 - 6*g - 7. Let w be u(-1). Find the common denominator of 5/10 + (-2)/(w/(-417)) and -27/2.
102
Suppose 7*j - 24*j = -34. Suppose j*a + 13 = 61. Calculate the least common multiple of a and 18.
72
Let t = -4/17607 - 331253/14437740. What is the common denominator of t and 29/165?
27060
Let y be 13680/324 + 4/(-18). Suppose 3*u - y = -15. Calculate the least common multiple of u and 4.
36
Let s be (2 + -396)/(-1*(-2 + 4)). Let c = s + -189. What is the smallest common multiple of c and 12?
24
Let b(c) = 2*c**2 + 28*c + 5. Let p be b(-14). Suppose -12*y - p = -125. Calculate the least common multiple of y and 32.
160
Let c = 563/14535 + 100/171. Let x = 584/21 - 83/3. Calculate the common denominator of x and c.
595
Calculate the common denominator of (-231)/(-924) + (5242/(-4280) - -1) and 11/20.
2140
Let z = 141 - -191. Calculate the least common multiple of 4 and z.
332
Let m be -3*(-6294)/(-162)*-3. Let v = m - 343. Find the common denominator of v and -27/89.
267
Let k(r) = 82*r + 1962. Calculate the lowest common multiple of k(-14) and 518.
5698
Suppose 3*d + 12800 = -2*p - 7317, -4*p - 20119 = 3*d. Let n be 3 + 0 - 1876596/(-280). Let u = d + n. Find the common denominator of u and -75/14.
70
Suppose -5*l = d - 125, 5*d - 4*l = 783 - 71. Calculate the least common multiple of 12 and d.
420
Let b be (-9 - -1967)/((-2)/(4/(-2))). Let s = 19633/10 - b. Let a = 455/2 + -235. What is the common denominator of a and s?
10
Suppose 5*u - 29 - 6 = -5*i, -3*u + 18 = 4*i. Let m(l) = l**3 + 10*l**2 + 9*l + 10. Calculate the lowest common multiple of u and m(-9).
10
Let i be (-282537)/(-26910) + -9 + 6/(-4). Let d = i + 56891/121095. Calculate the common denominator of -61/12 and d.
324
What is the common denominator of -7/132 and ((-6)/153)/((-4 - -2)/(139/(-2)))?
2244
Suppose -2*g - 9 = -l, 0*l - 18 = 5*g - l. Let j = -8 - g. Let k = -2/6677 - -86817/53416. Calculate the common denominator of k and j.
8
Let f = -515 - -611. Calculate the common denominator of (-1)/(-206)*-745 + f + -92 and -27/22.
2266
Let p = -308 - -311. Suppose -3*q - 4*k + 22 = 0, -7 - 20 = -4*q - 3*k. What is the smallest common multiple of q and (0 + p)*250/75?
30
Calculate the common denominator of 3 + 9550/(-3015) + (-710)/(-90) + -8 and 53/201.
201
Let x(o) = o**3 - 9*o - 4. Let k be x(-3). What is the least common multiple of -2 + 3 + (3 - -4) and 1 + (-2)/k - 2/(-4)?
8
Let t(v) = 25*v - 360. Calculate the least common multiple of 2460 and t(18).
7380
Let b = -6998 - -140003/20. Find the common denominator of -101/1664 and b.
8320
Let u(s) = 2*s**3 + 8*s**2 - 4*s + 26. Let a be u(-5). Let p(r) = 0*r - 10*r + 0*r - r**2 - 2. What is the smallest common multiple of 10 and p(a)?
110
Let g(v) = v**2 + v - 5. Let c be g(6). Suppose 4*w + 151 = -c. Let s = 55 + w. Calculate the lowest common multiple of s and 10.
40
What is the common denominator of 51/1715 and (7 + -5)/36*(-186)/(-14) - -2?
10290
Suppose -5*r - 4*h = 28 + 77, -2*r + 3*h = 42. Let d = -20 - r. Let f(n) = -2*n - 12. Calculate the lowest common multiple of f(-7) and d.
2
Let l be 12/(-4) + 10 + -5. Calculate the least common multiple of -54*(-1)/(-4 + l + 3) and 22.
594
Let k = 17907/1576 - -5/394. Let m = 223/39 - 15079/2262. Calculate the common denominator of m and k.
232
Let n = -107519 + 424485017/3948. Find the common denominator of -11/7 and n.
3948
Let f be 9/15 - (2 - 32/5). Let g be (((-48)/f)/(-4))/((-3)/10). Find the common denominator of 69/2 and (-13)/260*(-10)/g.
16
Let a(v) = 26*v**2 + 1. Let r be a(-2). Let s = -66 + r. Let w = -29 + s. Calculate the lowest common multiple of 8 and w.
40
Let x = 663/14 - 580/7. What is the common denominator of 29/4 and x?
4
Calculate the lowest common multiple of 2 - 302/(-8) - (-149)/596 and 28.
280
Let l = 2024 + -8157/4. What is the common denominator of 81/422 and l?
844
Let f = -282/155 + 23837/7905. Let t = -12191/1048 + 1/131. Calculate the common denominator of t and f.
408
Suppose 0 = 4*j - 3*m - 694, -2*j - 1477*m + 1479*m + 346 = 0. Calculate the lowest common multiple of 225 and j.
1575
Let m = 2/213705043 - 91218929079383/5128921032. Let b = m - -17791. What is the common denominator of b and -109/28?
168
Let t be 83/((-11)/((-121)/60)). Let k = t + -29/30. What is the common denominator of k and 103/102?
204
Let u = 855 - -76. Find the common denominator of 3/16 and -2 - u/(-312) - (-20)/(-30).
208
Let q be ((-1)/1)/(2/(-6)). What is the common denominator of 7035/(-1218) + (q - -2) an