nd 47/14.
896
Let t be 550/75*(2 + -32). Let x = t + 252. What is the least common multiple of x and 16?
32
Suppose -4*m - 84214 = 9*m. Let h = 226696/35 + m. Find the common denominator of 103/30 and h.
210
Let f = 314790/6657079 - -2/39391. Calculate the common denominator of (107/(-2))/(2*(31 + -5)) and f.
1352
Suppose -72*f + 172*f = 18700. Calculate the least common multiple of f and 1034.
17578
Suppose -3*q - 292 = s - 348, -2*q + 20 = 5*s. What is the smallest common multiple of q and 3272?
16360
Let o(i) = 84*i + 45. Let q(z) = 56*z + 30. Let w(x) = -5*o(x) + 7*q(x). Calculate the least common multiple of 12 and w(-3).
276
Let n = 1307 + -9120/7. Calculate the common denominator of n and (-6996)/(-1440) - 2/5.
168
Suppose 4 = -2*y + 10. Let j(l) be the third derivative of l**4/4 - 3*l**3/2 - 327*l**2. What is the smallest common multiple of j(y) and 3?
9
Let c = -87746638/1223547 - -9824/137. What is the common denominator of -83/15 and c?
44655
Let d be (-6)/(-33) - (-423034429482757)/188172490. Let w = d + -1796245689/799. Let r = 1/10705 + w. What is the common denominator of r and 65/64?
704
Let b(a) = 8*a + 2. Let r be 6/(-3) + 2 + 2. Let j(f) = -f**3 - 28*f**2 - 12*f - 1185. What is the smallest common multiple of b(r) and j(-29)?
36
Suppose 3*v - 8*v = -2*v. Let i be ((-1 + v)*-3)/(-41 + 42). Suppose 0*b - 2*b = 3*w - 39, -i*b + 59 = 4*w. Calculate the least common multiple of b and 27.
189
Let s = -4/10865 + -67267/260760. Let w = -76168 - -16757003/220. What is the common denominator of w and s?
1320
Let s(g) = -317*g**3 - 4*g**2 + 62*g + 144. Calculate the least common multiple of 127 and s(-2).
2540
Let u(c) = -c**3 + 15*c**2 + 18*c + 10. What is the smallest common multiple of u(15) and 252?
2520
Let o(l) = -4*l**3 - 165*l**2 - 3*l + 1582. Suppose -3*y = -5*y + 66. Calculate the smallest common multiple of o(-41) and y.
264
Find the common denominator of -25/76 and ((-10)/1580)/(133/5997) - 116/(-406).
6004
Let q = -193/2 - -401/4. Let k be 2/6 + (-11)/66*-400. Calculate the common denominator of (-1)/(-9) + k/126 - 4 and q.
28
What is the common denominator of (28 + 2755/(-87))/((-6)/3 + 1183) and 61/21?
24801
Suppose 3*o + 2 = l, 0 = o + l - 2 - 0. Suppose o = 3*r - r - 24. Let i = -23622 + 23625. What is the lowest common multiple of i and r?
12
Suppose -2*j + o + 17 = 0, 4*j - 5*o = 20 + 29. Let h = 10 - -5. What is the least common multiple of h and -21*(-2)/j + 23?
30
Let f be 1 + -1 + 5410/(-8125). Let v = f + -23085301/11375. Let d = 2038 + v. Calculate the common denominator of d and -95/2.
14
Suppose 20*z = 25*z - 2725. Let x = -473 + z. What is the lowest common multiple of 84 and x?
504
Suppose 0 = 25*u + 73 - 298. What is the least common multiple of u/(-6)*((-4224)/18)/8 and 12?
132
Suppose -58*j + 65509 + 53026 = 93*j. What is the lowest common multiple of 2198 and j?
10990
Suppose -66*s + 141 = -63*s - 5*v, 0 = 4*s + 3*v - 217. Calculate the smallest common multiple of 4/28*-12*-28 and s.
624
Suppose 0 = -33*k + 2011 + 2609. Calculate the lowest common multiple of 220 and k.
1540
Let k = -45209/4890 - -64/815. Suppose 0*d - d = 1. Find the common denominator of k and 54/(-8) + d/2.
12
Let d(t) = -t**2 - 15*t - 43. Let m be d(-6). Let o(n) = -n**2 + 4 + 3 + 10*n + 15. Calculate the least common multiple of 2 and o(m).
22
Let q = -13511 + 13529. Calculate the least common multiple of 414 and q.
414
What is the common denominator of -30/11 and (40/(-100))/(12/10) + (-174)/(-549)?
671
Suppose 0 = -24*a + 28*a + 384. Let s = 36/941 + 64137/20702. What is the common denominator of s and (714/a - 10)/3?
176
Suppose 12*i - 9 = 11*i + m, -4*m = 3*i - 62. Let y = -32 - -88. Calculate the smallest common multiple of i and y.
56
What is the smallest common multiple of 1572935/91 - (-17)/(-1) and 4?
17268
Suppose -n - 4*n = 15, -93 = -2*t - n. Suppose -t = -4*i + 16. Calculate the smallest common multiple of 28 and i.
112
Let v(g) = 4*g**3 + 39*g**2 - 11*g - 7. Let i be v(-10). Suppose -i*u = -3*f + 159, -6*f + 10*f = 3*u + 208. Calculate the least common multiple of f and 49.
49
Let m = 277296/35 + -7922. Calculate the common denominator of m and 43/63.
315
Let n be (-1)/(-3)*5 + 110/33. Suppose -h - 4*o = 1, n*h - h - 13 = o. Calculate the lowest common multiple of 6 and h.
6
Suppose v + 4314 = 12*v - 13396. What is the least common multiple of v and 138?
4830
Let f be 12/(-90) + 531366/45. Let u = -117969/10 + f. Calculate the common denominator of u and 304/(-408) + (-4)/6.
170
Suppose 5*d = -3*c + 1551, c - 3*d - 806 + 317 = 0. What is the least common multiple of c and 104?
4056
What is the smallest common multiple of 448 and (1377 - 16) + (-17)/1?
1344
Let z(k) = -338*k**2 - 7*k + 2. Let u be z(-5). Let j = 176828/21 + u. Let p = j - 45/14. Calculate the common denominator of -131/12 and p.
12
Suppose 18*i - 4300 = 8*i. Let q = -370 + i. What is the least common multiple of q and 39?
780
Let n = 211 - 209. Suppose 0 = n*g + 2*d - 104, -2*g + 3*d + 128 = -d. Calculate the lowest common multiple of g and 8.
56
Suppose -2*o = -d + 7, 4*d + 4*o = 5*d - 9. Let x(y) = -286*y + 9. Let w be x(d). Let l = 72490/51 + w. Calculate the common denominator of l and 17/33.
561
Let u = -103 + 180. Suppose -4*a + 11*a - u = 0. Let t = -7 + a. What is the lowest common multiple of 1 and t?
4
Let i = -337/3 + 109. Let y be 5 - (1 - 1644/(-6)). Calculate the common denominator of i and 1893/y - (-6)/(-10).
18
What is the lowest common multiple of (16 + -8)*(201/12 - (0 + 4)) and 2?
102
Find the common denominator of -157/912 and ((-3834)/(-3408))/(1*6).
912
Suppose 5*m = 114 + 86. Suppose l = -4*l. Calculate the least common multiple of m and 8*(0 + 1 + l).
40
Let f = 1037 + -19699/19. What is the common denominator of f and 75/8?
152
Calculate the common denominator of ((-3)/(-54))/(288/1026)*15/(-14) and -19/448.
448
Find the common denominator of ((-47)/(-6))/((-8)/6) and 5428/(-607) - (18/108 - (-165)/(-18)).
4856
Let g = -3059011/12 - -255419. Let j = -499 + g. Let i = -8017/208 - -510/13. What is the common denominator of i and j?
48
Calculate the lowest common multiple of 70/(-84)*6 + 74/6*3 and 7396.
59168
Let c(m) = 139*m**2 + m. What is the least common multiple of (14 + (-780)/48)/(8/(2688/(-18))) and c(1)?
420
Find the common denominator of ((-24)/12540)/((-8)/25) and 103/22.
836
Let o(l) = -1 + 9*l - 12*l + 13 + 2*l. Let u be o(12). Suppose 0 = -5*t + j + 10 + 8, -4*t - 4*j = u. What is the least common multiple of t and 16?
48
Calculate the lowest common multiple of 7542 and (-25 + 10)/(24/(-16)).
37710
Calculate the common denominator of -43/22 and (-24)/(-26)*(1176847/90424 + 13*-1).
36322
Suppose 425 = z - 5*t, -2*z + 405 = 5*t - 430. Let i be 2/12 + (-1589707)/z. Let l = i - -3782. Find the common denominator of -57/8 and l.
40
Let t = 5159/58050 + 4/1075. Let p = 335/16 - 2303/144. Find the common denominator of p and t.
54
Let m be 0 + (-4)/((-12)/9). Suppose -4*n = -n - m. Let q(h) = -h**3 + 27*h**2 - 2*h + 56. What is the lowest common multiple of q(27) and n?
2
Let o(w) = 2*w**3 + 3*w**2 + 5*w. What is the least common multiple of o(3) and 146?
7008
Let k(b) = 2*b. What is the least common multiple of 21 - 16 - (-8 + 1) and k(1)?
12
Let b = 21765/16 + -1361. Let q be ((-13)/52)/((-45)/14822). Let k = q + -1196/15. What is the common denominator of b and k?
144
Let k(o) = o + 4. Let p be k(2). Suppose 0 = 2*d - p. Calculate the least common multiple of 6 and d.
6
Let p be 6*(-2 + (-25)/(-10)). Suppose 0 = -2*t - p*t - 500. Find the common denominator of -67/10 and t/(-32) + (1 - 4).
40
Suppose 11*l = 16*l - 25. Suppose -25 = l*w, j - 4*w - 60 = -4*j. Let q(p) = p**2 - 7*p + 4. What is the lowest common multiple of q(j) and 2?
12
Let x = 1 + 7. Suppose 14*n + 8 = 19*n - v, 2*v + 2 = 3*n. Suppose -36 = -4*o - 3*y, 3*o + 2*o = n*y + 22. What is the smallest common multiple of o and x?
24
Suppose -476 = -3*l - 4*l. Suppose 2*o + 4*s + s = l, 0 = 4*o - 3*s - 188. Suppose o = 5*q - 56. Calculate the lowest common multiple of q and 10.
20
Calculate the lowest common multiple of -8*(-15 - 1215/(-120)) and 312.
312
Let y be ((-1)/321)/(261/72). Let s = y - -85903/62060. What is the common denominator of s and 17/80?