and 6*845/(-66240) + (-2)/(-23).
96
What is the common denominator of (15/23085)/((-11)/((-22935)/10)) and 49/3762?
11286
Suppose 3*q + 2*o + 38 = 0, 4*q = q - 5*o - 50. Let d = 9 - q. Calculate the smallest common multiple of d and 10*(-1)/2 - (10 + -23).
152
Let r = -19469490 + 408978901/21. Let b = r + -5697. What is the common denominator of b and -68/9?
63
Calculate the common denominator of (-724)/672 + 10/35 + (-80)/(-96) and (31/(-18))/(10/6).
120
Let s(y) = y**3 + y**2 + y + 9. Let t = -80 + 127. Calculate the least common multiple of s(0) and t.
423
Let p be 109295/(-36) - (-4)/18. Let o = p + 3018. Calculate the common denominator of (-2)/16 - (-2286)/(-528) and o.
44
Suppose -5205 - 56363 = -296*a. Let d(o) = -o**2 + 15*o - 16. What is the lowest common multiple of a and d(12)?
1040
Suppose -10*y + 2092 = -6*y + 4*n, -5*n + 1034 = 2*y. Calculate the smallest common multiple of 496 and y.
8432
Let n = 1944637/1725130 - -1/31366. Find the common denominator of n and 32/325.
3575
Let c = 259774723/12 - 21661721. Let v = c + 13818. What is the common denominator of v and -49/122?
732
Calculate the common denominator of -39/34 and 1358/(-68) - (203 + -223).
34
Suppose 5*x = 4*s + 146, 32 = x + 137*s - 135*s. Calculate the least common multiple of x and 138.
690
Find the common denominator of -59/432 and 21/(-90) - (105/(-28) + 4).
2160
Let v = -64 + 69. Let k(c) = c**3 - 4*c**2 - 2*c - 4. What is the smallest common multiple of k(v) and (-1 - (-3 + 1)) + 5?
66
Let w = -3307/14 + 1712/7. What is the common denominator of w and 59/1316?
1316
Suppose -26088 + 26031 = -19*t. What is the least common multiple of t and 455?
1365
Let n = 96095/18 - 5331. What is the common denominator of n and 43/3254?
29286
Let o = -2227983/160 + 13925. What is the common denominator of -68/45 and o?
1440
Let p = -2996/5595 + 4/1865. What is the common denominator of -139/150 and p?
150
Let x(g) = 17613*g + 337. Let k be x(-9). Let i = -45239531/286 - k. What is the common denominator of i and 43/14?
2002
What is the common denominator of (-2)/(((-149)/(-12))/(3*(-6)/36)) and 19/9?
1341
Find the common denominator of (-4080)/146200*((-255)/2)/(-3) and -4/2795.
2795
Suppose 3*w = -0*w + 3618. Let d = w + -12027/10. Calculate the common denominator of d and -43/34.
170
Let c = 15 + -11. Let t(j) = j**2 - 19*j - 63. Let y be t(22). Suppose -m + 26 = 4*p, p = c*p - y. Calculate the smallest common multiple of 6 and m.
66
Find the common denominator of -7/17 and 0 + (-3)/(462/560).
187
Let f(q) = -420*q**3 - 7*q**2 - 8*q + 1. Calculate the smallest common multiple of f(-1) and 9.
3798
Suppose -35*q + 0*q = 4*q. Suppose 3*a - 3*y = 24, 3*y - 7 + 19 = q. What is the least common multiple of 3 and a?
12
Suppose -3*r + 12 = -j, 3*j = -2*r + 4*r - 22. Suppose -4*y + 12 = 0, -6*y + 55 = 2*t - y. Calculate the lowest common multiple of (2/j)/(25/210)*-5 and t.
140
Let c(d) = 2*d + 0*d - d. Suppose -4*k - 20 = 0, 3*w - k = 54 - 22. Calculate the least common multiple of w and c(3).
9
Let w = 3210 - 1046. Calculate the least common multiple of 541 and w.
2164
Let k = -149 - -242. Suppose -5*f = -3*i - 10 - 146, 0 = 5*f. Let x = i + k. What is the smallest common multiple of 1 and x?
41
Suppose 0 = -c + 8 + 2. Let m = 64 - 61. Suppose 16*k - 17*k = -m. Calculate the least common multiple of c and k.
30
Let a = -18008/3 - -36035/6. Calculate the common denominator of 8/(-14)*82/(-8) and a.
42
Suppose 76 = -6*u + 838. Suppose -y - 123 = -u. Find the common denominator of 85/18 and y + (-69)/270*3.
90
Let g = 5628640588/15705 - 358398. Let t = 200683/62820 + g. What is the common denominator of t and 53/63?
252
Let n be 12/20 + 2/5. Find the common denominator of (-210)/945 + (-3)/(-378)*-575 and (-47)/40 - -1 - n.
280
Suppose 70 + 14 = 4*w. Let a = 68 + -5. Calculate the lowest common multiple of a and w.
63
Find the common denominator of (-62)/(-6) - 3108/222 and (1/(-5))/(36/170).
18
Let w(f) = -f - 1. Let o be w(1). Let k be 6/o - 3320/105. Let c = 107/7 + k. Calculate the common denominator of c and -2/13.
39
Let m(k) = -k**2 + 5*k. Let v be m(7). What is the least common multiple of 8 and (-42)/v*-3*(-2)/18?
8
Let m be (-1 - -6) + 13 + -14. Suppose -2*b = 3*a - 320, 3*b = -3*a + 279 + 39. What is the smallest common multiple of 8*m/(-16)*-3 and a?
108
Let s be 214*8/164 + 2. Let a = 913/492 - s. What is the common denominator of 101/96 and a?
96
Let k(u) = u + 21. Let x be (-1 + 4)*-1 - 0. Let m be 39*((-8)/x + 11 + -14). What is the smallest common multiple of k(m) and 11?
88
Suppose 224*d = 220*d + 41312. Calculate the smallest common multiple of 14 and d.
72296
What is the common denominator of 212/(-954) + 33/270 - (-1326)/22960 and 1/2583?
20664
Let v(d) = -d - 7. Let b be v(-3). Let j = -1345/36 + 145/4. Find the common denominator of (b/8)/((-9)/183) and j.
18
Let u be 2 - (2/6)/(2/(-6)). Suppose o + 3*o = u*b - 20, 4*b = -5*o + 6. Calculate the smallest common multiple of 20 and (o - (-33)/12)/((-1)/(-16)).
60
Let u = -169 - -129. Calculate the common denominator of 127/42 and ((-2)/33)/(u/(-410)) - 1.
462
Suppose -d = -5*d + 29*d - 1200. What is the least common multiple of d and 2592?
2592
Suppose -2*z + 1009 = -2591. Suppose -5*y = 5*g + z, 2*y + 8 = -4*g - 706. Calculate the common denominator of ((-6)/8)/(y/(-1562)) and 93/2.
22
Let d = -3/1537 - -66157/33814. Suppose 0 = 160*j - 164*j + 36. Find the common denominator of d and (j/(-10))/(420/(-2900)).
154
Suppose u = -12*u + 3120. Let b = u - 235. Suppose 3*k - 5 = -2*a + 5, -3*k = -2*a + 10. Calculate the least common multiple of b and a.
5
Let k(p) = 136*p**2 - 6*p + 13. Let h be k(5). Let w = 13633/4 - h. What is the common denominator of -139/228 and w?
228
Suppose -68*y = -63*y + 65. Suppose d - 3*d = 4*u - 34, 0 = -d + u + 20. Let a = y + d. What is the least common multiple of a and 4?
12
What is the smallest common multiple of (10/(-15))/((-12)/252) and (-6)/(-27) + (-3500)/(-126)?
28
Let v = -2551205/42 + 60746. Calculate the common denominator of ((-5292)/(-288) - 16)/((-9)/(-20)) and v.
126
Suppose -12*g = 140 - 428. Let i = 22 + -20. Suppose 3*d + 6 = 0, -5*r - 2*d = i*d - 52. Calculate the least common multiple of g and r.
24
Let j = 248257/228 + 3557/57. Let h = 5772/5 - j. Calculate the common denominator of 93/28 and h.
140
Let n = -501 - -1023/2. What is the common denominator of n and 0 + (1*11 - 4930/(-680))?
4
Suppose n = -5*i + 48 - 15, -6*n + 48 = 5*i. Calculate the least common multiple of i and 796.
2388
Let y(c) = 379*c + 2259. What is the smallest common multiple of y(6) and 21?
31731
Let b = -1386 + 2107. Calculate the smallest common multiple of 1030 and b.
7210
Let r(s) = -32*s - 193. Calculate the least common multiple of 1 - -25 - (-2 + 1) and r(-8).
189
Suppose 244 = 4*d + 36. Let u = d - 46. What is the smallest common multiple of 15 and (-11)/(-1 - u/(-9))?
165
Let g be (-30)/20 + 1646/4. Let o = g + -1655/4. Calculate the common denominator of 15/94 and o.
188
Let x = 188 + -176. Calculate the smallest common multiple of 9 and 137 + x/(-7) + 8/(-28).
135
Calculate the common denominator of -121/3252 and (-834)/(-108) - (2 - -1).
9756
Suppose -2*h + 124 = 2*f, 2*f - 4*h - 52 - 54 = 0. Let u(n) = 20*n + 410. Let l be u(-20). Let a = f - l. Find the common denominator of a and -9/10.
10
Let p(d) = 21*d**3 - 308*d**2 - 3*d + 54. Calculate the lowest common multiple of 352 and p(15).
3168
Suppose 6*w + 5*r = 4*w + 28, 2*w = -4*r + 24. Suppose -2*n = -4*n + 4. What is the lowest common multiple of w and n?
4
Suppose -k = 4*i - 95, -k + i + 23 = -57. Let n = 116 - k. Calculate the lowest common multiple of n and 27.
297
Suppose 0*d + 5*d - 77 = 4*c, 3*c = 5*d - 79. Suppose 5*l + 8*l - 26091 = 0. Let n = l + -2002. Calculate the lowest common multiple of d and n.
85
Let i = -117 - -119. What is the common denominator of (29/((-43065)/(-308)))/(i/6) and 23/11?
495
Suppose -2*g - 4*y = 52, 4*g + 3*y - 4*y + 59 = 0. Let r = 24 + g. Suppose 0 = -r*a + 5*a + 48. Calculate the least common multiple of 4 and a.
16
Suppose 57 = -8*n + 73. Suppose n + 102 = 2*f. What is the least common multiple of 4 and f?
52
What is the lowest common multiple of 602 and (-1 + (-115)/(-3))/(-10 - (-3