mmon denominator of s and 13/238.
3332
Let t be 744/32 + (-5)/20. Suppose -t*c + 360 = -8*c. What is the smallest common multiple of c and 27?
216
Let q be ((-5)/3)/((-23)/984). Let x = q - 35399/460. Find the common denominator of x and ((-31164)/(-10920) - 1/(-4)) + (-2)/13.
20
Suppose x = -3*d + 4*d - 91, 0 = 2*x - 2. Calculate the lowest common multiple of 8 and d.
184
Let s be ((-4763)/44)/((-9)/(-8)). Let v = -95 - s. What is the common denominator of v and 5/(-135)*348/(-8)?
18
Let j be (-3 - 78/(-18))/(2/18). Suppose 6*s = 3*s - j, 3*c = 2*s + 23. Calculate the lowest common multiple of c and 48.
240
Find the common denominator of 0 + ((-4)/10)/((-8228)/1003) and 43/4.
2420
Let q be (-12)/102 + (-62416)/2958. Let g be (1/(-29))/((-1)/(-42)). Let j = q + g. Find the common denominator of 39/7 and j.
21
Let d be 3/((-11115)/2780 + 4). Calculate the common denominator of -127/6 and ((-108)/(-30) - 3) + d/(-1530).
102
What is the common denominator of -101/4 and (-55 - -53) + (-1851)/(-936)?
312
Suppose 47*u - 46*u - 6 = 0. Calculate the lowest common multiple of (1 - -10) + (-11)/(-22)*u and 64.
448
What is the common denominator of 2 - 23*(-2)/(-25) and (4386/(-425))/(3 + (-215)/25)?
350
Let g(u) = -u**2 - 13*u - 1. Let w be g(11). Let f = 288 + w. Calculate the smallest common multiple of 1 and f.
23
Let x = 4247540550059389/17229005368 - -85/253367726. Let d = x + -246538. Let j = 95/17 + d. What is the common denominator of -75/14 and j?
56
Let s = 1687 + -94461/56. Let r = -251/112 - s. Find the common denominator of ((-11)/(-54))/((-1)/39) and r.
144
Let w = -519/43384 + 39/319. Find the common denominator of -29/272 and w.
272
Let f = 161 + -140. What is the least common multiple of f and ((-2)/3)/((-6)/405)?
315
Suppose 168 = 204*u - 200*u. Suppose h = -6*h + u. What is the lowest common multiple of h and 60?
60
Suppose 15 = -5*t, -3*t = -0*k - 4*k + 13. Find the common denominator of -67/9 and k/(-5) + 681/105.
63
Let w = -9 + 11. Suppose -4*t + 38 = 3*d, -41*d - 3*t = -39*d - 24. What is the least common multiple of w and d?
18
Suppose 46*d + 24*d = 50*d + 800. What is the smallest common multiple of 25 and d?
200
Let k = -19585/6 - -3252. What is the common denominator of k and 47/66?
66
Let a(x) = 14*x + 12. Let h be a(2). Suppose -38*g = -h*g - 16. Find the common denominator of 59/9 and 1*(-2)/4*10/g.
72
Suppose 22*k - 1166 - 242 = 0. Suppose 4 = -3*o + 31. What is the least common multiple of k and o?
576
Suppose -123 - 45 = 7*j. Find the common denominator of (-11 - 147/j) + 2*2 and -46/7.
56
Calculate the common denominator of 17/(-3) - 12/(-36) and (-816)/168 + 4/14.
21
Let q = 33 - -17. Calculate the least common multiple of q and 15.
150
Let n be -1 - (-297)/1 - 12/12. What is the common denominator of -1 + 0 - 0 - n/30 and (3/56)/(9/548)?
42
Let m(a) = -22*a + 18*a + 6*a - 2 + 2*a**2. Suppose 16 = 5*n - 3*b - 5, -n - 5 = 4*b. Calculate the lowest common multiple of 80 and m(n).
880
Let v be 2/(-4) + (-1365)/(-2754). Let q be 58/(-18)*299/(-2652). Let u = q - v. Find the common denominator of -31/16 and u.
272
Suppose 0 = 93*z + 29*z - 34160. What is the smallest common multiple of z and 336?
1680
Let o = -20452 - -5051667/247. Find the common denominator of o and 87/2.
494
Let o = 6169 - 3181. Find the common denominator of (-2)/(-11) - o/704 and -3/1054.
8432
Let y = 13306 - 12598. What is the smallest common multiple of y and 12?
708
Let q = 31 - 54. Calculate the common denominator of (-12)/(-9) - (-1199)/(-2013) and q.
61
Let s = 542187 + -286274639/528. Find the common denominator of 21/4 and s.
528
Calculate the smallest common multiple of (-7 + 8)*-14*(-27)/21 and 46.
414
Let q = 3996 + -1971. Calculate the smallest common multiple of (0 + 2)*q/50 and 54.
162
Let t = 66 - 60. Suppose g = -f - 2, 5*g - 5*f + 46 - t = 0. Let m(u) = -u**3 - 3*u**2 + 4*u - 3. What is the least common multiple of 33 and m(g)?
297
Suppose -5*w = -2*w - 15. Let h = -348 - -369. Suppose -2*z + 58 = 5*j, 3*z + 0 = -2*j + h. What is the smallest common multiple of w and j?
60
Let f = -4256 - -4464. Calculate the smallest common multiple of 780 and f.
3120
Suppose -2*o = -17 - 49. Let n = -436554/47350715 + -2/109355. Calculate the common denominator of o and n.
433
Let j = -4577 - -4597. Let d(p) = -p**2 + 6*p. Let g be d(5). Suppose g*v + 5 = j. Calculate the least common multiple of 1 and v.
3
Suppose -16*o = 4*m - 12*o - 1916, 0 = -2*m + 2*o + 962. Calculate the common denominator of 27/88 and (-5)/(-6)*(-1170)/m.
352
Calculate the least common multiple of 648 and 1/((-1)/(-7))*(6 + 696/(-203)).
648
Calculate the common denominator of (-7464)/18864 + 6/18 and 41/30.
3930
Let d = 10795/1512 - 50/189. What is the common denominator of d and 1/(48/(-231)) + 1?
16
Calculate the common denominator of 5808320/1150464 + -5 + 0 and -137/1284.
2568
Let w = -78 - -104. Let v = -25 + w. Suppose 0 = -l, 0*c - v = -c + l. Calculate the smallest common multiple of 26 and c.
26
Suppose -3*c + 12 = -2*c. What is the smallest common multiple of 11/(51/((-44574)/(-253))) and c?
228
Suppose 51*a = 48*a + 5211. What is the lowest common multiple of a and 7?
12159
Find the common denominator of -3*1/15 + ((-603)/210 - 5) and ((-243)/210 + 1)/(-1).
70
Let h(o) = -3 + 2 - 5*o + 27*o. Suppose 0 = -3*g + 5*y + 50, 5*g - 19*y - 46 = -20*y. Calculate the lowest common multiple of h(1) and g.
210
Let o be (717/5)/((-16)/(-20)). Let s be (13548/42)/(12/7*1). Let g = s - o. What is the common denominator of 61/4 and g?
12
Suppose -3*h + 2 = -s - 2, 12 = 4*h + 2*s. Suppose -7*z + h*z = 10. What is the smallest common multiple of z/(-4) + 45/10 and 2?
10
Let l = 580/19 + -247602/8075. Find the common denominator of l and -53/50.
850
Let b(a) = 3*a**3 - 5*a + 4. Let l be b(3). Suppose g = 3*g - l. Let i = -29 + g. What is the least common multiple of i and 3?
6
Suppose b - 5 = -11. Let k(n) = n + 4. Let c be k(-2). Calculate the lowest common multiple of 6 - ((3 - b) + -4 - c) and 18.
18
Let c(w) = -3 - 9 - 1 - 1 - w. Let l = -28 + 46. Calculate the lowest common multiple of c(-32) and l.
18
Suppose -u = -2*n + 4 + 30, -u + 5*n - 25 = 0. Let x = -17 - u. Suppose 5*c = c + z + x, 26 = 3*c + z. What is the least common multiple of c and 10?
70
Suppose 827 - 4307 = 15*q. Let r = -224 - q. What is the lowest common multiple of 37 and r?
296
Suppose -2050 = -412*a + 407*a. What is the lowest common multiple of 615 and a?
1230
Suppose 4*b = -2*f - 26 - 2, 0 = -2*b + 5*f - 38. Let o(p) = p**3 + 8*p**2 - 9*p + 22. What is the smallest common multiple of o(b) and 8*1*33/12?
22
Let t = 64751/3 + -21382. Let c = t + -191. Calculate the common denominator of -89/62 and c.
186
Let k = 105158 + -18507751/176. Find the common denominator of 59/240 and k.
2640
Suppose -5*j - 2*r = -5872 + 3305, -2*j = 2*r - 1034. Calculate the least common multiple of j and 2847.
19929
Let m(r) = 115*r - 4. Let u be m(2). Suppose -b + u - 46 = 5*v, 20 = -4*b. Let h = v - 27. What is the smallest common multiple of h and 16?
80
Calculate the common denominator of -40/861 and (-116729)/23730 - (-15)/(-21).
8610
Suppose -3*n + 186 = 138. What is the common denominator of -11/18 and ((675/(-14))/9)/(n/(-14))?
144
Let p = -2702121/429884 + -1/61412. Let d = 161758 + -36395639/225. What is the common denominator of d and p?
1575
Let k = 779 + -693. What is the common denominator of 19/9 and (-3)/k*(13 + 1287/(-27))?
387
Suppose -18*b = 45 - 477. Suppose 2*i = -2*u - b + 248, 0 = 2*i + 5*u - 215. Calculate the common denominator of 1 - 2 - (-5 - i/(-18)) and -44/27.
54
Let x = -10 + 17. What is the common denominator of (-331)/105 - x/(-35) and (14/(-180)*-6)/(30/275)?
126
Suppose 0 = -r - 3*r. Suppose -5*f + 62 + 8 = r. Let b = 8 + -6. What is the smallest common multiple of b and f?
14
Let d be (12/(-54))/((-28)/(-1590)) - 2. Let c = 54/7 - d. Let x = 380 + -3789/10. Calculate the common denominator of x and c.
30
Suppose 0 = -2*u + 5 + 67. Suppose -2*i - 5*x + 198 = 0, -212*x = -5*i - 215*x + 438. What is the lowest common multiple of i and u?
252
Suppose 11*k = 12*k - 6. Calculate the smallest common multiple of 12 and (6 + (-48)/18)*k.
60
Suppose 679*n - 674*n - 105 = 0. Let i = 199 + -121. What 