126. Let z = j - 55. What is the lowest common multiple of z and 516?
2580
Suppose 0 = 2*d - 182 - 106. Let s = 475/3 - d. Find the common denominator of 11*(16/(-21) - -1) and s.
21
Calculate the common denominator of -64/1095 and (15*88/(-89100))/(2/201).
3285
Let d = -3 - -69. Let o = 69 - d. Suppose -y - o*j = -j - 17, 3*j = -3*y + 36. What is the least common multiple of 13 and y?
91
Let f = 337 - 321. What is the common denominator of ((932/f + -5)/(-3))/3 and 25/2?
12
Let k(l) = -34*l - 7. Let h be k(-2). Find the common denominator of -29/60 and (h/6)/1 - (-2)/12.
60
Let k = -11725 - -11839. What is the smallest common multiple of k and 3287?
19722
Suppose 5*a + 24 = 624. Let z(y) = -7716*y + 15456. What is the least common multiple of a and z(2)?
120
Suppose a - 3 - 5 = 0. Let g = -244 - -262. Suppose g*p - 116 - 64 = 0. What is the smallest common multiple of a and p?
40
Let q = -88/31 - -1881/62. Let i be 1 + 15998/208 - 60/160. Let o = i - 8779/104. What is the common denominator of q and o?
8
Let q = 20697497/248 + -83458. Calculate the common denominator of q and 21/59.
14632
Let l = -57 + 222. Let a = 187 - l. Calculate the least common multiple of 16 and a.
176
Let f = 624 - 627. What is the lowest common multiple of 0 - ((f - -8) + -170 + 0) and 9?
495
Let n = 171770/21 + -493789/84. Let b = -2303 + n. Find the common denominator of 18/(-4)*(-52)/(-80) and b.
120
Suppose -19*u + 613 = -5*u - 1781. Suppose q = 3*q - 162. What is the least common multiple of u and q?
1539
Suppose -38*k + 40*k = -398. Let m be (3 - k - 1)*(-37)/306. Let v = m + 8/17. Find the common denominator of 44/15 and v.
30
Let b = 574494/55 - 10446. Calculate the common denominator of b and (12/(-18))/((-50)/55).
165
Suppose s + 4 = 0, -42*q + 2*s + 24 = -38*q. Suppose -145 = -q*u + 5*c, u + 4*c = 6 + 46. What is the smallest common multiple of u and 28?
280
Let u(r) = -r**2 + 2*r + 1. Let n(q) = q**2 + 26*q + 3. Let o be n(-26). Let v be u(o). Find the common denominator of -97/2 and 34/(-19) - (0/(-3))/v.
38
Suppose -492 = -3*x - 100*y + 101*y, 0 = 4*x + 4*y - 624. What is the least common multiple of 702 and x?
2106
Let v(n) = 2*n**3 + 9*n**2 - 26*n - 42. Suppose 728 = 10*j + 158. What is the lowest common multiple of v(-6) and j?
114
Suppose 109*g - 196165 = 205718. Calculate the least common multiple of 30 and g.
36870
Let w be (-3)/(270/(-127420)) + 2/9. What is the common denominator of 91/80 and 0/(-2) + w/384?
80
Let m(y) = y**3 + 7*y**2 + 2. Let t = 125 - 114. What is the smallest common multiple of m(-7) and t/22 + 51/2?
26
Suppose 5*o + 135 = -195. Let x = -65 - o. Calculate the least common multiple of (8 - 7)/(x/18) and 6.
18
Let c(j) be the first derivative of -27*j**2/2 - 78*j - 127. What is the smallest common multiple of 78 and c(-4)?
390
Let h be (-10)/6*(-3)/5. Calculate the least common multiple of (h - 49)*(-18)/36 and 3.
24
Let u be 2*14/(-8)*10/(-7). Suppose 3007 = -4*q + 3*q - l, 3019 = -q + u*l. Find the common denominator of 2/(-11) - (-1 - q/1056) and -32/7.
224
Let f = 9/36541 - 2120781/154056856. What is the common denominator of 57/28 and f?
29512
Find the common denominator of 3/(-7) + (10/30 - (-9804)/93240) and 143/270.
9990
Calculate the least common multiple of (-9)/24 + 0 - (-89025)/(-400)*-6 and 8.
10680
Let w be (-8)/6 - 7/((-1099707)/209462). Let p = 5917375/2513616 - w. Find the common denominator of 59/14 and p.
336
Let b be (4 - 0 - -765)*-1. Suppose -3*a - 317 = -h, -90 = -4*h + a + 1145. What is the common denominator of 107/10 and (-14)/(-77) - b/h?
140
Suppose 5*o = 7*o + 4*h - 48, 5*o + 2*h - 88 = 0. Suppose -9*m = -5*m - o. Calculate the least common multiple of 18 and m.
36
Suppose 20 = -14*y - 904. Let m = 136 + y. Calculate the smallest common multiple of m and 14.
70
Find the common denominator of (-5 + 3288/648)*(-177)/(-4) and 1 - 258/45 - 15/(-10).
90
Calculate the common denominator of (0 + (-8)/(-16))/(1 - (-19765)/(-440)) and 21/5.
3865
Let m = -8960/11 - -313028/385. What is the common denominator of m and -47/3585?
25095
Let g(f) = 2115*f**2 - 2. Let a be g(-2). Let o = a - 4687. Let q = o - 33992/9. Find the common denominator of q and 17/3.
9
Let r be 22554/105 - 1/(-5). Let d = r + -195. What is the lowest common multiple of 28 and d?
140
Let l be ((-138)/(-20))/(2*6/610). Let h = 651/2 - l. Find the common denominator of 39/29 and h.
116
Suppose 0 = 29*b - 1533 + 924. What is the smallest common multiple of b and 486?
3402
Find the common denominator of 6026/(-30708) - 34/(-357)*(-7)/(-3) and -59/1706.
5118
Let n be (-2 - -1 - -3) + 3. Suppose -12*w = -w - 396. Calculate the lowest common multiple of w and (-8)/n*(-5)/2.
36
Suppose 2*m = -i + 305, -6*i + 293 = -5*i - 4*m. Calculate the common denominator of 43/18 and -8 + i/(-14) + -8.
18
Let z be ((-8)/247351443)/((-2)/(-12)*2). Let w = z + 1719010095569/177268534150. Let m = w - -3/1075. Calculate the common denominator of m and 59/6.
30
Let n(v) = -65*v - 432. Calculate the common denominator of n(-6) and 2/229.
229
Calculate the common denominator of -73/402 and ((-47)/1692)/(-1 + (-1162)/(-388) + -2).
1206
Let s = 859/5 + -7107/40. Calculate the common denominator of -155/276 and s.
552
Suppose -16*k + 5*k + 297 = 0. Let q = k + -28. Let l = 5 - q. Calculate the smallest common multiple of l and 27.
54
Let f be (5 - 1953/385)*90030/(-4). Let a = -1634 + f. What is the common denominator of -42/11 and a?
11
Suppose 9*n - 292 - 518 = 0. Find the common denominator of 16/27 and (-2)/(-8) + ((-100)/n)/(-2).
108
Calculate the least common multiple of (((-3)/(-3))/(-5))/((-4)/160*4) and 1210.
1210
Let j = 6494779 + -267091291469/41124. Calculate the common denominator of -107/20 and j.
205620
Let o(i) = 5*i + 232. Calculate the lowest common multiple of o(4) and 42.
252
What is the common denominator of 75/88 and (-2 + 9102/4620)*4/(-16)?
3080
Let u(i) = -5*i**3 + 5*i**2 - 6*i + 54. Let f be u(5). Calculate the common denominator of (-219)/36 + -1*2 and 119/f + 47/2 + 0.
12
Calculate the lowest common multiple of 239/2*(-4)/(-2) - (72 + -79) and 45.
3690
Suppose -2*t + 267 = 5*s, 42*s - 38*s + 4*t - 204 = 0. What is the lowest common multiple of s and 495?
495
Let u = 42 + -46. Let a = 10 + 16. Calculate the common denominator of 5/33 and u/a + (-3560)/1872.
198
Let o(x) = -8*x - 8. Let z be o(-2). Suppose -g + 0*g + 4 = 3*i, 2*i - 2*g = z. What is the common denominator of (-2)/((-104)/(-34) - i) and -29/9?
9
Let w = -95 - -92. Let d be (-29)/2 + (w - 2)/10. Calculate the lowest common multiple of d/(-35)*(-42)/(-2) and 12.
36
Suppose 3*o - 4*f - 62 = -4, 4*o + f - 52 = 0. Suppose -18*v + q = -o*v - 316, 382 = 5*v + 2*q. Calculate the lowest common multiple of v and 78.
78
Suppose 5*f = -2*h + 61, -4*h + 24*f - 28*f + 128 = 0. What is the least common multiple of h and 1869?
20559
Let f be (30/(-13540))/((-6)/20). Let d = f + 12803/8124. Calculate the common denominator of -25/32 and d.
96
Suppose -3*y + 166 = t, -2*t + 73*y = 78*y - 340. Calculate the smallest common multiple of t and 220.
4180
Let y = -49685/3 - -44368843/2679. What is the common denominator of 43/141 and y?
2679
Let s = -181853/25020 + 974/139. Find the common denominator of 77/15 and s.
180
Let w = -64 - -62. What is the common denominator of (-3 + (-156)/(-64))*(w + 5) and (-82)/28 - (1 - 4)?
112
Suppose 6 - 21 = -3*y. Let c be (2 + (-896)/(-12))*3. Suppose y*b - 50 = c. Calculate the lowest common multiple of 8 and b.
56
Suppose p + 112 = 29*p. Suppose -l + 4 = l, 0 = p*a + 4*l - 184. Calculate the lowest common multiple of a and 121.
484
Suppose -2*b + 98 = -4*z - 0*z, 5*b + 67 = -2*z. Let k(h) = -3*h + 82. Let i be k(15). Let c = i + z. What is the lowest common multiple of 9 and c?
99
Let t be ((-12)/(-8))/(3/(121405 - 1)). Let k be (2/(-54))/((-164)/t). Let u = k - 250/41. Calculate the common denominator of u and 13/54.
54
Suppose -5*d + 2*t = -0*t + 15, 24 = -4*d + 4*t. Let p(r) = 11*r**2 - 29*r + 7. Let o be p(3). Let a = o + d. Calculate the lowest common multiple of 24 and a.
72
Suppose -2784 = -4*z + m, 14*m - 1394 = -2*z + 15*m. What is the common denominator of -151/198 and (7/(385/22))/(324/z)?
1782
Suppose -36*o + 38*o = 148. Suppose 0 = g - 2*n - 22,