
What is the common denominator of (144/9280)/(-1 + 595/475) and -85/56?
6496
Suppose -4*d - 4*t = -2*t - 314, -5*t = 5*d - 385. Let v = 56 - d. What is the smallest common multiple of 22 and (66*(-3)/v)/(9/24)?
22
Suppose 2*h + 48 = -6*h. Let y = 35 - 19. Calculate the lowest common multiple of -2 + h/(-27) + 356/18 and y.
144
Let k = 670/37 - 6227/444. What is the common denominator of k and 19/10876?
32628
Let n(k) = -k**3 + 24*k**2 + 67*k - 72. Calculate the smallest common multiple of 22 and n(23).
21978
Let j = 496490/139749 - 394/111. What is the common denominator of j and 1/3?
3777
Suppose 1168*m = 1164*m - 24, 0 = -5*n - 3*m + 1422. Calculate the lowest common multiple of 164 and n.
11808
Let z be ((-68)/(-17))/(4/3). What is the lowest common multiple of 90/4 - (-2)/(-4) and (-30)/(-11 + 6)*8/z?
176
Let n be (-3 - -1)*2*-25. Let k = n + -82. What is the lowest common multiple of 27 and k?
54
Let k = 15/4462 - -124435/1144503. Find the common denominator of 67/228 and k.
2052
Let n = 28054535/243072 + -24330/211. Find the common denominator of n and -11/12.
1152
Let q = -2384 + 2414. What is the smallest common multiple of q and 24?
120
Find the common denominator of ((-7)/(-39 - -4))/(14756/3185) and -8/4743.
18972
What is the least common multiple of 9504 and 5 + (-12 + 3 - -22) + -6?
9504
Let d = 2523 - 15271/6. Let c = 280511/223010 + 3/3845. Find the common denominator of c and d.
174
Let v(z) = z**2. Suppose -2*h = -4*l + 146, -68 = -l - 0*h + 5*h. What is the least common multiple of l and v(2)?
132
Let o be ((-2972356)/(-2128))/((-4278)/4). Let g = 4998/97 - 45866258/890169. Let s = g - o. Find the common denominator of s and -93/20.
620
Suppose 0 = -4*m - 5927 + 7007. Calculate the least common multiple of m and 780.
7020
Let h = -9312 + 968525/104. What is the common denominator of h and 6/(-7 + 1) + 19/(-14)?
728
Calculate the common denominator of 87/176 and ((22680/384)/21)/((-22)/1 + 0).
352
Let x = 23798 + -23396. What is the least common multiple of 8 and x?
1608
Let x(i) = i**3 - 2*i**2 - 32*i + 4. Let d be x(-5). Let s(b) = b**3 + 11*b**2 - 2*b + 6. Calculate the lowest common multiple of 12/(-5)*120/(-16) and s(d).
252
Suppose a = 5*a - 20. Suppose a*w - h - 2*h = 5, 5*h = w - 1. Calculate the smallest common multiple of (-1 - -58) + ((-6)/(-3) - w) and 16.
464
Suppose 5*v = -10, -4*m = -3*v - v - 24. Suppose -7*f = -m*f + 18. Calculate the common denominator of (-87)/(-4) + (-3 - f) and 19/6.
12
Let a = 38582327/332 - 116212. What is the common denominator of 95/4 and a?
332
Calculate the least common multiple of 108 and (2277/(-115) + 21)*(-110)/(-2).
1188
Suppose q + 2*q + 2*p - 9 = 0, -5*q = -5*p - 15. Calculate the least common multiple of 812/232*(-88)/(-14) and q.
66
Suppose -45*g + 37*g - 272 = 0. Let o(j) = 2*j**2 + 46*j - 110. What is the smallest common multiple of o(g) and 4?
1276
Let a = 7 + -3. Let v be (6 - (4 + 4))*-1. Suppose 4*m + f - 57 = 0, -f = v*m - a - 25. Calculate the smallest common multiple of 16 and m.
112
What is the common denominator of ((-444)/(-855))/2*(1095/(-80) + 14) and -1/66?
5016
Let u = -9349 + 149647/16. Calculate the common denominator of (-5 + 539/112)/(((-315)/(-238))/(-15)) and u.
16
Let o = 11647 - 69881/6. What is the common denominator of o and 85/1134?
1134
Suppose -4*u + 6*u + 1162 = 0. Find the common denominator of 10/75*u/(-28) and -95/6.
30
Calculate the common denominator of (-1)/(-2)*(-1947)/(-56286) and -11/3021.
12084
Let b = 12 + -6. Let f be (5 - -28)*2*1/(-2). Calculate the least common multiple of (-192)/f + ((-32)/(-44))/4 and b.
6
Suppose -34*f = -40*f + 5*a + 7590, 3*a = 5*f - 6325. Calculate the least common multiple of 575 and f.
6325
Suppose -103*u + 9*u + 9348 = -53*u. Calculate the least common multiple of 2793 and u.
11172
Let m(j) = -8*j**2 - 41*j + 97. Let w(h) = -3*h**2 - h + 1. Let b(f) = -m(f) + 3*w(f). What is the least common multiple of b(31) and 33?
1353
What is the common denominator of -157/228 and (37/3515)/(2/54)?
1140
Let c be 480/(-14)*(2 + -4 + -5). Suppose 0 = 4*n + n + c. What is the common denominator of 330/n + (-3)/4 and -1/14?
56
Let c = -57 - -64. Suppose c*t + 795 = 8*t. Find the common denominator of -47/20 and ((t/(-6))/(-5))/(-8).
80
Let t = 29 + -30. Let k be (-3*t/(-1))/((-2)/8). Find the common denominator of -21/8 and k/(-42)*(2 - 3 - -7).
56
Let t(h) = -5*h - 164. Let c be t(-16). Calculate the common denominator of (238/c + 2)*234/2260 and -47/18.
4068
Suppose 0 = -4*u - 5*a + 5513, -9637 = -7*u - 56*a + 58*a. Calculate the smallest common multiple of 405 and u.
6885
Suppose -19*j - 2*j - 126 = 0. What is the common denominator of -1*(-1292)/(-210) - j/21 and -143/90?
90
Suppose 8*s + 285 = 5*s. Let k = 140 + s. Suppose 0 = k*t - 44*t - 9. Calculate the smallest common multiple of 12 and t.
36
Let o = -13550 + 94870/7. Find the common denominator of ((-124)/42)/((-52)/6) and o.
91
Let w be -1 - -44841*(-2)/(-936). Let y = w + -1186/13. Calculate the common denominator of y and 95/66.
132
Let v = 8 + -14. Let m(y) = -y**2 + 8*y + 189. Let d be m(26). Calculate the common denominator of 29/6 and (-4)/v*d/(-9).
6
Suppose -3*z + 1190 = 4*z. Suppose -16*y + z = -342. Calculate the smallest common multiple of y and 80.
160
Suppose 4*z - 92 = -0*z. Calculate the lowest common multiple of z and (-84)/8*5060/(-5313).
230
Calculate the lowest common multiple of 16 and (-46)/(14/(17 + -997)).
12880
Suppose -2*p - 47 = -51, 0 = 3*f + 5*p - 28. Calculate the common denominator of 47*((-3)/(-2))/(-3) and ((-404)/56 - 0) + f.
14
Find the common denominator of 252 - 265 - 266/(-15) and (2 - (-393)/3)/(-60).
60
Let c = -26 + 58. What is the smallest common multiple of 8 + (672/192*12/7 - -2) and c?
32
Let s(k) = -29*k + 2735. What is the least common multiple of 1469 and s(94)?
13221
Let s = -169746493/852 + 199232. Let o = s + 4/71. Let q = 12701/5580 + 1/620. Calculate the common denominator of o and q.
36
Let q = -23426 + 23440. What is the lowest common multiple of q and 54?
378
Calculate the common denominator of (-22 + -2)*(-4)/(-30) and 58/18*(-12 - (-462)/44) - 0.
30
Suppose 3*i = -4*q + 12981, -2932*i + 8661 = -2930*i + 5*q. What is the smallest common multiple of i and 99?
12969
Let h(q) = -q**2 - 5*q - 1. Let t be h(-4). Suppose t*c - 53 = 1. Let y = -57821 + 57854. What is the smallest common multiple of y and c?
198
Let i = -17720023/6 - -2943857. Let s = i + 9455. Find the common denominator of s and (-250)/(-84) - 12/84.
6
Suppose -o + 5 = 2*p, 4*p - p - 25 = -5*o. Suppose -204*c + 207*c = -5*y - 5, -c = y - 3. Calculate the lowest common multiple of c and o.
10
Suppose -5*b = 3*j + 413 + 667, 0 = 2*j - 10. Let s = b + 331. What is the smallest common multiple of s and 2?
112
Let w = -260943711896/33 - -7906135731. Let p = -1249908 - w. Let k = -430 - p. Find the common denominator of 137/12 and k.
132
Suppose 0 = -0*k + 7*k - 1456. What is the common denominator of 60/18*(-57)/k and 101/22?
1144
Let k = -17173 + 19725. Calculate the smallest common multiple of k and 168.
53592
Let z = -149083/18 + 8276. Let y = 1012/67 - 19573/2010. Calculate the common denominator of z and y.
90
Let r = -209 - -206. Calculate the common denominator of -3/10 and ((-6375)/(-310))/(-5) - r.
310
Let t be (-2913001)/(-192972) - 24/4. Let b = 15/1237 - t. Find the common denominator of b and 75/8.
24
What is the common denominator of 24 + ((-558)/(-108) - 6) and 23/2974?
8922
Calculate the common denominator of -13/12 and 2 + -1 + -3 - (-17 - (-646129)/42966).
7812
Let f(t) = -t**2 + 143*t - 2254. What is the least common multiple of 2610 and f(25)?
10440
Let b be (-205284)/(-9)*22/(-8). Let d = b + 63671. Let a = d + -928. What is the common denominator of a and -38/11?
33
Suppose -2*w - 1251 = -4*w - 3*o, 5*w = 4*o + 3093. What is the smallest common multiple of w and 345?
3105
Suppose 71*m - 77*m + 3114 = 0. Calculate the lowest common multiple of m and 5.
2595
Let k(q) = 2*q**3 - 23*q**2 + 6*q + 80. Calculate the lowest common multiple of 16 and k(12).
592
Suppose 6*g + 1176 = 3*l + 10*g, -3 = g. Find the common denominator of -61/134 and (-100)/14*385/l.
1206
Let x = 14043 + -337021/24. Find the common denominator of 85/112 a