. Suppose -3*i - o = -i - 10, -2*i = 2*o - 14. Find the common denominator of 133/12 and i + (-274)/(-12) + t.
12
Suppose 5791 + 8193 = 23*h. What is the smallest common multiple of 608 and h?
608
Let d be (-11)/(968/4112) - -8. Let w = -1246/33 - d. Calculate the common denominator of -53/45 and w.
495
Let x be 12078/48 - (-12)/32. What is the lowest common multiple of 9 and 6/11 - x/(-22)?
36
Let q = 2886 - 89403/31. Let r = 17063593121/744 - 22934930. Let o = q - r. Find the common denominator of -19/33 and o.
264
Let w = 168609 - 7924321/47. Let y = -16721/1410 + w. Calculate the common denominator of (-3)/3 + 749/70 and y.
30
Let x = 10856 + -933645/86. Suppose -5*q + 10*q = 25, -4*l + 4*q = 8. Calculate the common denominator of x and (354/9)/(80/12) + l.
430
Suppose -5*o - 5*k = -5, o + 0*k - 5 = -5*k. Suppose -3*m - 3*m + 432 = o. Calculate the lowest common multiple of ((-220)/77)/(-4 + (-27)/(-7)) and m.
360
Let i = -474 - -558. Suppose -5*b + 3*b + 5*w = -32, 4*b - 28 = w. Calculate the smallest common multiple of i and b.
84
Suppose 1009 = -10*b + 23*b - 265. Calculate the lowest common multiple of b and 210.
1470
Let w(q) = 14*q**2 + 12*q + 116. Let i be w(14). Suppose -3*o + 0*o + 2*x = -i, -o + 996 = -4*x. Calculate the smallest common multiple of o and 16.
4048
Let s = 31/135966650 + -709749857533/17300804445950. Let m = -10/703 + s. Let j = m - -2433/1448. What is the common denominator of j and -29/10?
40
Let l(n) = n**3 + 4*n**2 - 1. Let z be l(-3). Suppose -7 = m + 2*c, -3*m + 13*c - 11*c = 5. Calculate the least common multiple of 38 and (145/20 - 2/z) + m.
76
Let v(w) = w**3 - w**2 + 25*w - 69. What is the lowest common multiple of v(3) and 276?
552
Let b(y) = -y**3 + y**2 + 12*y - 5. Let d be b(7). Let q = -260 - d. Find the common denominator of 109/24 and q.
24
Let z = 36 + -26. What is the least common multiple of z and (-6)/(-27) + (-1972)/(-36)?
110
Let u = 3710 + -3248. What is the least common multiple of u and 693?
1386
Find the common denominator of -47/72 and ((-2)/8)/((-4)/(-38) - (-14390)/9500).
648
Suppose -3*p - 4*w - 147500 = 0, -5*p = -w + 87296 + 158545. Let j = p - -13029459/265. Find the common denominator of j and -63/2.
530
Let x = -1029235/44 - -23390. Let m be 3844/(-640) + 2 - 3/(-5). Let k = m - 73/32. What is the common denominator of k and x?
176
Suppose -320*r = -1395 - 3085. Suppose 5*v - 4*g - 673 = 445, 3*g + 895 = 4*v. Calculate the lowest common multiple of r and v.
1582
Let i(g) = 2*g. Let t be i(1). What is the smallest common multiple of t/4 - 7/(-14)*53 and 1?
27
Let i be ((-2739429)/(-270) + 5)/((-34678)/(-6)). Let h = i + 2/2477. What is the common denominator of h and -73/42?
210
Suppose -p + 1 = -0*p. Calculate the common denominator of (23/(-1426))/(2/(p - 79)) and 67/14.
434
Suppose -5*h + 2*m = -35 + 1, -3*m = 3*h - 33. Let i(l) = 2*l**3 - 118*l**2 - 2*l + 570. Calculate the lowest common multiple of i(59) and h.
904
Let a = 8080 - 177789/22. Calculate the common denominator of a and 81/8.
88
Let g(a) = a**2 + 24*a. Let f be g(-20). What is the common denominator of 35/123 and 8/(-6)*(-575)/f?
492
Calculate the common denominator of 179/1092 and 119/(-51) - (-674)/132.
12012
Suppose y = u, 3*u - 21 = -3*y + 9. Let x(p) = p**3 + 10*p**2 + 2*p - 14. What is the least common multiple of x(-9) and u?
245
Let g = 10765 + -10763. Let y be (-1)/(-3) + 8/(-6). Calculate the least common multiple of ((-12)/y)/((-4)/(-6)) and g.
18
Suppose 4*n = -n + 10. Suppose -5*j - u + 116 = 0, -j - n*u = -12 - 4. Suppose 88*t + 92*t - 4178 + 776 = -9*t. Calculate the lowest common multiple of j and t.
72
Let r(g) = g**3 + 10*g**2 - 4*g - 10. Suppose -84*i = -46*i - 2052. What is the smallest common multiple of r(-10) and i?
270
Let m = 3558 - 3474. What is the lowest common multiple of m and 147?
588
Let m = 116918 + -26891183/230. Calculate the common denominator of 31/69 and m.
690
Let n = -119 - -175. Suppose 0 = 4*a - 8*k + 3*k + 25, -2*k = 5*a + n. Find the common denominator of 26/9 and 6/a - 3/420*-614.
126
Let o be 3/12*3436/(-18). Let x = 136/3 + o. Find the common denominator of x and -139/126.
126
Let z(h) = 86*h - 684. What is the smallest common multiple of 23 and z(8)?
92
What is the common denominator of -67/8 and 4/(-34) - -30*4655/1318809?
10888
Let a = 513150 + -1151508697/2244. Calculate the common denominator of -82/21 and a.
15708
Let l(z) = -z**3 - 11*z**2 - 12*z - 4. Let n be l(-10). Suppose -f - 3*c = -n, 6*f + 5*c = 7*f + 16. What is the smallest common multiple of 22 and f?
44
Let t be (10/6)/((-1)/3). What is the lowest common multiple of 5*(189/35 + 0) and (-24)/(-4) + t + 2?
27
Suppose 510 = 53*j + 298. What is the smallest common multiple of j and (-1)/2*(-22 - -4)?
36
Let h(u) = u**3 - 7*u**2 + 76*u - 472. What is the least common multiple of h(7) and 360?
360
Let o be 2 + (-9 - -7)*(-4)/2. What is the common denominator of 69/28 and (1335/o)/(-1)*13/1300?
280
Suppose 12 = 4*k + 3*a, k = 5*a - 0*a + 3. Suppose 0 = 12*h - k*h - 27. Suppose -h*s + 12 = 3*s. What is the least common multiple of s and 5?
10
Let i be 4 + (-4)/2 + 6. Let x(s) = -s**2 - 6*s + 9. Let l be x(-7). Suppose -l*c + i = 2*c. What is the least common multiple of 5 and c?
10
Let m(i) = i - 2. Let a(g) = g - 1. Let o(v) = -6*a(v) + 2*m(v). Let r be o(1). Find the common denominator of 101/10 and (-1890)/40*r/(-3).
10
Let v = -85737 - -7201813/84. Find the common denominator of -43/210 and v.
420
Let r be -2*(-1 + -1 + 214122/144). Let d = 5957/2 + r. Calculate the common denominator of 95/22 and d.
132
Calculate the least common multiple of 91078/7254 - (-28)/(-18) and 2 + 1 + (9 - 2).
110
Let f(m) = -m**3 + 44*m**2 - 44*m + 95. Suppose p = 19*p - 774. Calculate the least common multiple of f(p) and 26.
52
Let t = -1 - -3. Suppose 0 = -3*s - 2*o - 3, 0 = 6*o - 4*o + 6. What is the least common multiple of t and 8/(s*1/1)?
8
Let y = -253/3 - -77. Let s be ((-6)/(-15))/(13/65). What is the common denominator of (6*s/(-40))/(36/505) and y?
24
What is the common denominator of -8 - 25/288*(12240657/4030)/(-33) and 67/3?
5952
Let b(j) = -j**2 - 29*j + 98. Let u be b(-32). Suppose 244 = 2*y + 2*w, 4*y - u*w - 440 - 72 = 0. Calculate the smallest common multiple of 189 and y.
378
Suppose -918 = -77*j + 71*j. Calculate the smallest common multiple of j and 90.
1530
Suppose 174*m = 173*m - 2*p - 10, -3*m = -2*p - 26. Calculate the least common multiple of m and 1374.
2748
Calculate the smallest common multiple of 4*(-9)/(-84) + 43860/70 and 12.
2508
Let j = 281/24 - 7/8. Calculate the common denominator of (-154)/9*(-1 + 400/384) and j.
108
Let b be ((1305/(-6))/(-5))/((-12)/(-32)). Calculate the least common multiple of 4 and 7/(-28) - b/(-16).
28
Calculate the smallest common multiple of (28 + -23)*132/15 and 2472.
27192
Suppose -3*g - 2*g = 150. Find the common denominator of ((-426)/(-1136))/(46/43 + -1) and (55/g + 1)*164/(-25).
120
Let k(u) = u**3 + 40*u**2 - 40*u + 74. Let l = 376 - 417. Calculate the lowest common multiple of 18 and k(l).
198
Let n be 156026/(-204) + (-2)/12. Calculate the common denominator of ((-2)/36)/((-4)/690) and -2*n/(-162)*(-3)/10.
12
Let d = -55 + 53. Find the common denominator of 111/30 + d - 39/52 and 34/5.
20
Let h = -50095 - -12423535/248. Calculate the common denominator of h and 103/248.
248
Let o = 870/31 + -46383/1550. What is the common denominator of o and (-2088)/128*4/(-30)?
200
Suppose 0 = -l + 4, 22*v = 17*v + 3*l + 78. Let m = 74 + -38. Calculate the smallest common multiple of v and m.
36
Let v(d) = 10*d**2 - 4*d + 3. Let h = -51 + 56. Let q(r) = r + 3. What is the lowest common multiple of v(1) and q(h)?
72
What is the common denominator of 6/20*(-1990)/(-96) - 9 and (-4)/10 - 1169/(-560)?
32
Let b = 2822/9 - 226237/720. Calculate the common denominator of b and -57/496.
2480
Calculate the common denominator of 9/70 and (-3 - (-366)/9)/(5586/171).
490
Calculate the smallest common multiple of 2478 and -59*(16 - (58 - 15)).
22302
What is the least common multiple of 14/2 + 43056/117 and 450?
2250
Let t(p) = 5*p**2 - 5*p + 3. Let w be t(-6). Suppose -2*b + 5*c = -230, -w = 4*b - c - 691. Let h = 957/8 - b. Calculate the common denominator of h and 15/2.
8
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