 is the common denominator of 53/22 and -1 - (r/80 + 1)?
220
Suppose -l + 7 = m + 2*l, 5*m + 2*l = 48. What is the least common multiple of 15 and m?
30
Calculate the lowest common multiple of (-3)/((-12)/16 + (-18)/(-40)) and 1462.
7310
Suppose 5*j - 3*h + 2416 = 7419, 5*h = -5*j + 4995. Let w = -530 + j. Find the common denominator of (-12)/72 - w/24 and -32/9.
36
Let u(f) = 34*f - 200. Calculate the least common multiple of 76 and u(6).
76
Calculate the common denominator of -4 + 4/(-2) + (-7336)/(-1078) and -23/77.
77
Let r = -1834339/2532 - 975/211. Let d = r + 731. Calculate the common denominator of -69/8 and d.
24
Find the common denominator of (-2 - (-20)/9) + 4585/(-990) and 42/11.
22
Let x(p) = p**2 - 4*p - 1. Suppose -3*i - 6 = -21. Let d be x(i). Suppose -36 + d = -4*y. What is the lowest common multiple of y and 22?
88
Let f be (-2)/(-7) - 10/(-14). What is the common denominator of -1 + f + (-31)/12 and ((-4)/14)/(24/2086)?
12
Suppose -3*q = -5*q - j - 56, -3*q - 3*j = 78. Let o = -24 - q. Calculate the smallest common multiple of o and 110.
330
Suppose 0 = -3*a - 2*c - 17 + 25, -4*a + 4*c = -44. Calculate the least common multiple of -3*(-52)/12*1 and a.
78
Let a = 909617/9285634 - 23945320939223/207864367757158. Let z = 2/48349 - a. Let j = -53293/2778 + z. What is the common denominator of 48/17 and j?
102
Suppose 0 = 5*h - 0*h - 20. What is the least common multiple of 4 + ((-21)/(-210) - (-159)/10) and h?
20
Let v = 15797/24 + -1999/3. Suppose -2*p - 2*p = -3*t - 122432, -153005 = -5*p - 5*t. Let u = 551029/18 - p. What is the common denominator of v and u?
72
Let n = 417243/22 - 18970. Let p = -4404/383 + -1/766. Find the common denominator of n and p.
22
Let q = 289 + -279. Suppose -36 = -4*a - u, a - 2 + q = 4*u. Suppose -3*r = -5*j + 104, 4*r = 2*j - 18 - 18. Calculate the least common multiple of a and j.
88
Let u = 2 - -6. Let h = -152317/20 + 7613. What is the common denominator of (222/(-8))/(44/u) and h?
220
Let a = -3031 + 21181/7. Find the common denominator of 16/25 and a.
175
Let m = -4 + 1. Let o be 3 + (-3)/6*4. What is the smallest common multiple of 2 and o*(17 + m) + -4?
10
Let z = -22318/39 + 572. Let f = -14/13 + z. Calculate the common denominator of f and -79/33.
33
Let z = -369 - -371. Calculate the least common multiple of 2/(-3 - -5)*2 and z.
2
Suppose 3*v - 21 = 2*k, 0*v + v + k = 2. What is the smallest common multiple of v/((-35)/(-4))*14 and 98?
392
Let t = 438391/26 + -16864. Calculate the common denominator of t and -57/4.
52
Suppose 2*j + 39*c - 35*c = 52, 3*j + 2*c = 74. What is the lowest common multiple of 519 and j?
4152
Let k be (-2 - -1)*1*-1. Let n be (-22)/(-14) + -2 - (-66)/7. What is the least common multiple of (n + 3)/(2*k) and 2?
6
Suppose 19 + 61 = 4*i. Suppose -5*z = -2*z - 66. Calculate the lowest common multiple of i and 2/(-11) + 136/z.
60
Let h be (-178)/(-6) - (-5)/(75/5). Suppose s + 3*s - 32 = 0. What is the least common multiple of s and (-153)/(-15) - 6/h?
40
Let q = -284537/80458 - -103/3284. Let v = q - -1/196. What is the common denominator of 59/10 and v?
10
Suppose 72 = -5*a + 9*a - z, -54 = -3*a - 4*z. Let u be 1 + -2 + 5 + -2. Suppose -u + 32 = 5*k. What is the lowest common multiple of a and k?
18
Suppose -37*q = -30*q - 238. Let b(j) = 3*j**2 - 3*j - 2. Calculate the lowest common multiple of q and b(3).
272
Suppose 4*z + 41 = -4*d + 3*z, -35 = 3*d + 5*z. Let j = 24 + d. What is the least common multiple of j and 18?
126
Let w = 1151689/130 + -8860. Let j = 37/13 - w. Calculate the common denominator of -41/9 and j.
90
Suppose 4*b + 46 = 6*b. Let r = -12 + b. What is the least common multiple of 8 and r?
88
What is the common denominator of 155/306 and -6 - (-156)/63 - -7?
2142
Let z(l) = 4 - 4*l + l**3 + 6*l**2 - l**3 - l**3. Suppose 4*d - 56 = -5*r, 45*r - 43*r + 5*d - 36 = 0. Calculate the smallest common multiple of z(4) and r.
40
Suppose 3*k + 0*k - 24 = 0. Let q(b) = -b**3 - 8*b**2 + 19*b + 1. Calculate the smallest common multiple of k and q(-10).
88
Let j = -1433/5 - -280. Calculate the common denominator of j and -6/125.
125
Let a = 2214 + -2202. What is the smallest common multiple of 12 and a?
12
Let j = -25 - -27. Suppose -4*o = o + j*b - 1005, 3*o - 2*b - 619 = 0. Find the common denominator of 5/8 and 0 + -2 - o/(-56).
8
Let o = 619221/50 - 12385. What is the common denominator of -59/550 and o?
550
Let x = -279/40 - -91/10. What is the common denominator of x and -87/44?
88
Let o be (4 - -1)*(-19 - -20). Suppose -2*k - 20 = 2*k, -2*k = -o*p - 50. What is the smallest common multiple of 8 and (-3)/p - (-126)/8?
16
Let i(a) = -a**3 + 2*a - 2. Let n be i(0). What is the common denominator of (-196)/(-64) + 6/n and 103/20?
80
Let n(x) = -6*x + 4. Let w be n(-4). Suppose w = 5*g - 4*g. Suppose 7*r - 2*r + 2 = -c, -2*r + g = 2*c. Calculate the lowest common multiple of c and 50.
450
Let o = -3581483/78 - -45918. Find the common denominator of o and -103/130.
390
Calculate the common denominator of 9/(-99) - 3955/(-6237) and -25/84.
2268
Let w be (-1178)/(-4) + (-1)/2. Find the common denominator of -1 - -3 - 2709/w and -83/12.
84
Find the common denominator of (355/30 + -5)/((-2)/(-4)) and 41/25.
75
Let r = -222280/51 + 4358. Find the common denominator of 13/11 and r.
561
Suppose -3*k = 5*x + 42 + 57, 4*k = -4*x - 84. Let z be (-2)/(-12) - (-3)/x. What is the lowest common multiple of 6 and 4 + z - 2/(-1)?
6
Let u(m) = -5*m - 1. Let c be u(-2). Calculate the common denominator of 1/16*316/c and -4/7.
252
Let r = -3/1052 - 16769/22092. Find the common denominator of 69/28 and r.
84
Calculate the common denominator of -3*4/(-3) - (-271)/(-40) and -21/40.
40
Let u = -43292 - -6969983/161. Find the common denominator of 53/126 and u.
2898
Let s = 7 + -2. Let d be (-8)/(1*(-3)/9). Suppose -p + s = 0, -3*b + 25 = 5*p - d. What is the smallest common multiple of 2 and b?
8
Let q = -20 + 30. Suppose 4*r = 2*b + 18, -2*r = 4*b - 24 + q. Let g(a) = a**2 - 2*a + 3. Calculate the lowest common multiple of g(r) and 8.
72
Suppose 2*v - 5*m + 2 = 0, 2*v - m - 9 = 5. Suppose -5*s + 1 = -v. Let p(w) = w**3 - 9*w**2 + 2*w - 8. Calculate the lowest common multiple of p(9) and s.
10
Suppose -4*r + 1457 = -c, 17*c - 16*c - 1819 = -5*r. Calculate the least common multiple of 28 and r.
364
Suppose -3*c + 3*n + 21 = 0, -3*c - 7 = -8*c - 2*n. Suppose 0 = -3*r + k + 37, 4*r + 5*k - 61 = 4*k. What is the smallest common multiple of r and c?
42
Suppose 0 = 2*i - 2*j + 14, i - 3*j = -3*i - 26. Let u(d) = d**3 + 6*d**2 - d - 6. Calculate the lowest common multiple of 10 and u(i).
120
Suppose 15*p + 234 = 2*p. What is the common denominator of (120/p)/((-7)/6) and (-205)/(-12) + (-1)/(-4)?
21
Let j = 666 + -600. Suppose 3*l + 4*v = -7, -15 = -6*l + 5*l + 3*v. Calculate the least common multiple of l and j.
66
Let l = 177/25 + -2711/450. What is the common denominator of -61/16 and l?
144
Suppose 3*f = h + 9 + 2, 11 = -2*f - 3*h. Suppose 5*q + 9 = -2*v, -2*v - f*q - 2*q - 4 = 0. Let o = 13 + -9. Calculate the lowest common multiple of o and v.
8
Let q = 61 + -32. Suppose 23*m = q*m - 126. Calculate the least common multiple of 30 and m.
210
What is the common denominator of -125/66 and (21/(2268/328))/((-88)/3)?
396
Let d(r) = -r**3 + 2*r**2 + 7*r - 3. Let y be d(4). What is the common denominator of -2*((-378)/(-44))/y and -40/3?
33
Let x = 15 + -3. Suppose -4*v = -4*s + 16, 5*s - 8 - 2 = 3*v. Let m(d) = -7*d**3 - 2*d - 1. What is the lowest common multiple of x and m(s)?
24
Suppose -2*a + 11 = 1. Suppose -a*d = -3*d - 6. Let k = -318 + 327. What is the smallest common multiple of k and d?
9
Let w = 4834 + -67749/14. Calculate the common denominator of w and -41/14.
14
Let d(t) = -18*t - 1 - t**2 + 4 + 0 - 12. Calculate the least common multiple of 126 and d(-17).
504
Suppose -l - 68 = -2*l - 2*z, l - 5*z = 61. Suppose 15 = -4*o + 5*k + l, -3*o + 12 = 5*k. What is the smallest common multiple of o and 11?
99
Let x be -2 + (4 - 5 - -2). Let o be x + -2 + 5 + -17. Let p = -11 - o. Calculate the least common multiple of 11 and p.
44
Suppose 41*t + q = 44*t - 388, -2 = -q. What is the smallest common multiple of 260 and t?
260
Let j = -2990 - -28921. Let i = j + -25023418/965. Le