t u = -15/488 + a. Calculate the common denominator of u and 75/22.
66
Suppose 5 + 4 = 3*u. Let a(r) = 37*r + 1565. Calculate the smallest common multiple of a(-41) and u.
48
Suppose -9*a + 1080 = -21*a. What is the common denominator of (-133)/(-19) + 813/a and -89/105?
210
Let t = 456814/21 + -21751. Calculate the common denominator of 95/3438 and t.
24066
Find the common denominator of 69/828*8/33 and 103/6 - (-1)/(-2).
99
Let b(o) = 8*o - 32. Suppose 0 = 11*n + 21 - 87. Calculate the smallest common multiple of 18 and b(n).
144
Suppose -5*b = -2*b - 135. Calculate the least common multiple of 2 and -3*32/(-60)*b/2.
36
Let d be -4*(-3 + 436/8). Let x be 4/(d/52 - -4). Suppose i - 4*y - x = -3*i, 3*i - 77 = 4*y. Calculate the smallest common multiple of 24 and i.
216
Let c = -53113/61215 - -4/4081. Let b = -1084541/40 + 27115. Calculate the common denominator of c and b.
120
Let o(v) = -2*v**3 + 17*v**2 + 9*v - 2. Let k be o(9). Let b(p) = -9*p**2 - 5*p - 4. Let y be b(k). Find the common denominator of -55/8 and (-7)/(-21) - 317/y.
40
Let i = 315 + -220. Suppose -s + i = -5*t, 2*s - 217 = -2*t - 63. What is the least common multiple of s and 80?
80
What is the lowest common multiple of (4/12)/(871/2184 - (-3)/(-8)) and 280?
280
Suppose 1 = 2*f - 5. Suppose 0 = 3*w - 2*d - 146, 0 = f*w + 5*d - 10 - 129. Suppose 23*i + w = 26*i. Calculate the smallest common multiple of 32 and i.
32
Let y = -4408 + 4419. What is the smallest common multiple of 112 and y?
1232
Let z = 41489/6 + -6860. Let m = z - -2129/6. Let g = -404 + m. Calculate the common denominator of -139/12 and g.
12
Suppose -3*x = 0, 5*j - 3*x + 755 = -325. Let k be (10/(-4))/(45/j). Find the common denominator of ((-45)/(-132) + 0)/((-3)/k) and -20.
11
Let o = 2745/13 - 48331/234. Find the common denominator of 55/438 and o.
1314
Let r = -9/680 - -2417/1190. What is the common denominator of r and 1/(-14) - 549/(-126)?
56
Suppose 0 = -5*f + i - 17 - 25, 0 = 2*f - 2*i + 20. Let q(g) = g**3 + 7*g**2 - 13*g - 18. Let l = 0 - -7. Calculate the least common multiple of l and q(f).
154
Suppose 5*t - 2 = 3*q + 1, 5*q = -5. Suppose 10*x = 14*x + 5*a - 37, 2*x + 4*a - 26 = t. What is the lowest common multiple of x and 7?
21
Let s = -35696 - -35718. Let i(h) = h**3 - 4*h**2 - 2. Let j be i(4). Let v = 70 - j. What is the lowest common multiple of v and s?
792
Let j be ((-22005)/(-36))/((-63)/(-2)). Let p = -492 + 10334/21. Let t = p + j. Find the common denominator of -19/10 and t.
10
Suppose -5*p - 1892 = -u, -5*u + 2066 + 7294 = -5*p. Let z = 1245372 - 12435029/10. Let i = z - u. What is the common denominator of i and -33/17?
170
Suppose 0 = 6*l - 4090 + 1978. What is the least common multiple of l and 160?
1760
Calculate the common denominator of 57/187 and ((-1008)/(-9486))/((1 - 0) + 5).
17391
Suppose -2*a - 2*a = -4*w - 68, -w - 53 = -3*a. Let n = -22 - -12. Let k = a + n. What is the smallest common multiple of k and 2?
8
Let a = -263 - -266. Calculate the smallest common multiple of (2 - -1) + -1 + 0 and (-3*a/18)/(2/(-48)).
12
Let u(d) = 2*d**2 - 18*d + 102. Let x be u(6). Let l be (3/1)/((-6)/8). Let k = x - l. What is the lowest common multiple of k and 6?
210
Let h = 12807/49 + -261. Let r = h + -487/392. Calculate the common denominator of 55/274 and r.
1096
What is the common denominator of (-1 - 217)*71/1420 and 47/1157?
11570
Let k be 4*(-4)/(-4) - -2. Suppose 0 = -4*l + 3 + 21. What is the least common multiple of l and ((-55)/(-6) + 11/66)*k?
168
Suppose -2*r = 2*r + j - 168, 3*j - 210 = -5*r. Let c be (-1 + -2)/(-3*2/r). What is the lowest common multiple of 1 and (2/(-6))/(-1)*c?
7
Suppose 198*u = 1037*u - 73832. Let y = 30 - -10. Calculate the lowest common multiple of u and y.
440
Let f = 6785 + -6605. What is the smallest common multiple of f and 1800?
1800
Suppose 2*a - 3*a + 13 = 2*g, 2*a = -2*g + 14. Let n = -42 + g. What is the common denominator of 42/(-28)*-103*(-2)/n and 31/9?
36
Suppose 4*h = 3*o - 22, -3*h + 26 = -o + 25. What is the least common multiple of ((-5)/15 - o/3) + 8 and 26?
78
Let c be (249/(-126))/(((-130)/8522)/13). Let v = 9483611/5614 - -693/802. Let n = c - v. Find the common denominator of -41/30 and n.
30
Find the common denominator of 4*3/6 - 2*115/76 and 49/209.
418
Let n = -1220185473/503624 + 46585/5723. Let r = n + 4831/2. What is the common denominator of r and -37/33?
264
What is the least common multiple of 41500/12 - ((-2)/(-6) - (-18 + 18)) and 168?
41496
Let w(u) = -u + 2. What is the smallest common multiple of 18*70/21 + 6 and w(-22)?
264
What is the common denominator of 2220/350*(-15)/(-513) and -71/189?
3591
Calculate the lowest common multiple of 21/(-49) + 7/((-294)/13626)*-1 and 324.
324
Let s(n) = -n**2 + 3*n + 882. Calculate the lowest common multiple of s(31) and 56.
56
Suppose 23 = -3*g + y, -9*g + 2*y + 31 = -14*g. What is the least common multiple of 1/((-6)/(-18)) - g and 6?
30
Let p = 104117 - 34566749/332. Find the common denominator of p and 11/2.
332
Calculate the common denominator of (-382)/10887 + 914/(-304) and (-122)/48 - (1 - 0).
24
Let w = 182/275 + -30256/36575. What is the common denominator of -107/380 and w?
2660
Suppose i + 3 = 0, -5*k + 5*i = -856 - 89. Calculate the smallest common multiple of k and 2418.
2418
Let v = -22173 - -22188. Calculate the smallest common multiple of v and 132.
660
Let f(m) = 10*m + 16. Let w be f(-4). What is the common denominator of -2/153 and (w/64)/(27/(-654))?
612
Let x(b) = -426*b - 6813. Let t = 2 + 1. What is the least common multiple of x(-16) and t?
3
Calculate the lowest common multiple of ((-66)/(-12))/(29/5452) and 176.
8272
Suppose 48*n - 45*n = 108. What is the smallest common multiple of 90 and n?
180
Let s = 11635762/389 - 29912. Let w = s - 11137/9336. Calculate the common denominator of -53/72 and w.
72
Let n(j) = 6 - 5 - 14*j**2 + 15*j**2 + 14 - 13*j. Let x be n(10). Calculate the common denominator of -1/2 and 9/x + 0 - (-33)/(-45).
6
Let y = 0 - -1. Suppose 4*w + 309 + 3 = 4*l, 0 = -4*l - w + 287. What is the lowest common multiple of l and y?
73
Let z = 1065 + -603. Suppose 3*b - b - z = -2*s, 5*b = -s + 219. What is the lowest common multiple of 10 and s?
1170
Let t = 660 - -2621. Let a = t - 1859. Suppose 7*j - a + 414 = 0. What is the least common multiple of 16 and j?
144
Let b = -8/32813 + -3346054/3576617. Let z = -12577/654 + b. What is the common denominator of (-21)/30*(-444)/(-28) and z?
30
Let x be -15*(-8 + 6) + 6. Suppose -x*f + 34*f + 270 = 0. What is the smallest common multiple of f and 81?
405
Let k = -1 - -4. Suppose -3*s - 86 = -2*r, 74 = -2*s - k*r + r. Calculate the common denominator of 47/3 - (-2 + s/(-12)) and -22/29.
29
Let r = -38609377/47394 + 283/7899. Let o = -2441/3 - r. Find the common denominator of 195/14 - (-24)/42 and o.
18
Let v = -2399 + 158489/66. Let j = -1174253/42 - -27956. What is the common denominator of j and v?
462
Calculate the common denominator of (-6 - 285/(-6))/(-1699 + 3) and 67/8.
3392
Let m(x) = -4*x**3 - 13*x**2 + 13*x - 50. Let n be m(-9). Find the common denominator of 371/n - (-10)/(-4) and 39/176.
352
Let r(m) = 268*m - 4008. Suppose 0 = -3*y + 15 - 3. Calculate the lowest common multiple of y and r(15).
12
Suppose -27 = -3*g + a - 8, -4*g + 5*a + 40 = 0. Let p(y) = 6*y**3 + 24*y**2 + 2*y + 15. Calculate the lowest common multiple of g and p(-4).
35
Let r = -184649/23496 + 19/2937. Let q = -96/11 - r. Find the common denominator of ((-25)/(-18))/((-1)/2) and q.
72
Suppose 6*l - 2*l + 4*w = -32, 0 = -4*l - 2*w - 36. Let s be l + 1 + 20/(-15). Let d = -127/6 + s. What is the common denominator of d and -113/18?
18
Suppose -2*x + 6 = 10, -5*l + 681 = -3*x. Find the common denominator of ((-2)/(-132))/(18/l) and 7/32.
352
Suppose 0 = 2*r + 2*r - 40. Suppose 3*x = m + 3, 3*x + 3*m = r + 5. What is the common denominator of x/7 + (-1875)/168 - 1 and 28/9?
72
Suppose 0 = 2*i - 2 - 6. Suppose 3*y - 124 = -0*y - x, 2*x + 152 = i*y. Calculate the least common multiple of 20 and y.
40
Calculate the common denominator of -23/5 and 488/(-618)*(-2 - (-7)/4).
1545
Suppose 0 = -5*j - 3*w + 3672, -30*j = -28*j + 2*w - 1464. Calculate the lowest common multiple of 63 and j.
5166
Let x = -2279 + 2289. Wh