 Let i be (-222411)/(-343) + 3/(-7). Suppose -r*p = 2*p - i. Calculate the lowest common multiple of 6 and p.
162
Suppose -62*r + 44*r + 1817 + 4447 = 0. Calculate the lowest common multiple of r and 1102.
6612
Let h(t) = 36*t + 2824. Calculate the least common multiple of h(-67) and 72.
7416
Let s = -533999/30 - -17797. Let y be (-1)/(-5) - (0 - 31941/(-159795)). Let c = y - 2681017/106530. What is the common denominator of s and c?
30
Let j(z) = 2*z**3 + 42*z**2 + 41*z + 25. Suppose -3*w = -22 + 1. Suppose 11*a - 20 = w*a. What is the lowest common multiple of j(-20) and a?
5
Let l = 9495 + -37917/4. Let h = 28996 - 144507/5. Let o = h + -7157/70. What is the common denominator of o and l?
28
Let k(v) = 211*v - 842. What is the least common multiple of 54 and k(8)?
2538
Let t(o) = 70*o**2 - 251*o. What is the least common multiple of 40 and t(4)?
1160
Let y(s) = -4*s + 6. Let x be y(-6). Suppose -16*v + x = -19*v. Let c = v - -68. Calculate the least common multiple of 8 and c.
232
Suppose -10*w + 40 - 130 = 0. What is the common denominator of 4/((-72)/(-15)) - 9/w and 103/180?
180
Let y be 12/(-4) + (23 - -3). Suppose 4*r = 29 + y. Let b = r - 1. What is the lowest common multiple of b and 12?
12
Let l = 312385655999/18 + -17348904807. Let u = -5863902 + l. Let a = -10045 - u. What is the common denominator of -85/2 and a?
18
Let q = 77500893711/520 + -149040242. Let s = 489/8 + q. Calculate the common denominator of 6/35 and s.
455
Let m = 2 + 6. Let i(q) = q**2 - q - 54. Calculate the lowest common multiple of i(-18) and m.
288
Find the common denominator of -5 + (-1450)/(-210) + 2*(-2)/12 and -11/1405.
9835
Let x(t) = -t**3 - 34*t**2 - 179*t - 275. Calculate the least common multiple of (-4)/(-6) - (-679)/21 and x(-28).
33
Let j = -1090/187 + 45/17. Calculate the common denominator of (498/(-87) - -4)*2/2 and j.
319
Let g = -805130635/204 + 3946719. Let y(h) = -9*h**3 - h + 5. Let k be y(4). Find the common denominator of g and k/(-126) + 4/18.
1428
Let i = 56923/40 - 1423. Let c = -42/113 + 7061/452. Find the common denominator of i and c.
40
Suppose -4*t + 1 + 3 = 4*u, -2*u + 6 = 3*t. Calculate the common denominator of 11/380 and -6*t/((-448)/63).
760
Let x = -189 + -66. Let a = x + 271. Calculate the lowest common multiple of 86 and a.
688
Let u = -299 - -300. What is the smallest common multiple of ((-14)/u + -2)*(-14)/8 and 12?
84
Suppose -4150*f = -4140*f - 60. Calculate the smallest common multiple of f and 48.
48
Let f = 46311 + -3936377/85. What is the common denominator of -93/170 and f?
170
Let w be (-21035)/20*-2*(1 + 3). Let d = w + -101041/12. What is the common denominator of d and 83/8?
24
Let n = 1679012411/1288 - 1303581. Find the common denominator of -133/690 and n.
19320
Let n(a) = 2*a**3 + 11*a**2 + 31*a - 7. Let u(g) = g**3 + 6*g**2 + 16*g - 3. Let p(b) = -6*n(b) + 13*u(b). What is the smallest common multiple of p(-9) and 44?
528
Let d be (-62768)/(-16)*(1994/996 + -2). Let s = -24/83 - d. Calculate the common denominator of s and 47/21.
42
Calculate the common denominator of -46/1683 and (3004/(-612) - -5)*(5 + 21/(-2)).
1683
Suppose 219*t = 229*t - 9280. What is the smallest common multiple of t and 8?
928
Suppose 4*o - 5*p = 8 + 4, -2*p = 3*o - 9. What is the common denominator of (-122)/6*1/o and ((-144)/(-147))/((-1816)/(-112) - 16)?
63
Suppose -d = i + i - 9, -3*d = 5*i - 21. Suppose -6*j - 36 + i = 0. What is the common denominator of (((-255)/12)/j)/(-1) and -35/2?
4
Let z = -494865373/30 - -16492606. Suppose 2*x - 6487 = -673. Let a = z + x. What is the common denominator of 43/12 and a?
60
Find the common denominator of ((-3196)/(-663))/(6/3) - 5/2 and -59/270.
3510
Let o(l) = 219*l**2 + 7*l + 2. Let j be o(5). Let v = -49556/9 + j. Calculate the common denominator of v and (-1*20/(-45))/(119/408).
63
Suppose -19*m + 64 = -35*m. Find the common denominator of 95/4 and ((-19)/(665/930))/m.
28
Let p be (1/5)/(9/17). Let w = p - 2071/360. Find the common denominator of (-57 + 19)*(2/(-22) + (-8829)/(-106920)) and w.
120
Suppose 5 + 3 = 4*i + 5*o, i - 2 = -2*o. Let j(w) = -w**3 + w**i + 4 + 8*w**2 + 12 + 2*w**2. What is the lowest common multiple of 4 and j(11)?
16
What is the common denominator of 157/810 and 34460/1188*(-29)/(-435) + (1 - 3)?
8910
Let b = 151 - 147. Calculate the lowest common multiple of 1 and (27/(-54))/((-1)/b).
2
Let l(b) = -4*b**2 - 5*b + 6. Let f be l(9). Let p = f + 35. Calculate the common denominator of p/16 + 2/6 and -107/10.
30
What is the smallest common multiple of (160/(-10) - 3)/((-4)/108) and 57?
513
Suppose 3*q = 4*m - 2*q - 105, 0 = 4*q - 12. Suppose -51*v = -6*v - 900. Calculate the lowest common multiple of v and m.
60
Let a(u) = -359*u + 3976. What is the lowest common multiple of a(7) and 798?
8778
Suppose 963*n = 964*n - 15. What is the least common multiple of 504 and n?
2520
Let s(l) = -17*l + 24. Let o be s(1). Find the common denominator of o/(-42) + 235/(-12) and -63/40.
40
Let z = -167 + 85. Let k(g) = -17*g + 1. Let n be k(5). Let p = z - n. Calculate the smallest common multiple of 4 and p.
4
Let f = 2885/533 + -129/26. Let x = -607/1845 + f. What is the common denominator of -8/9 and x?
90
Suppose -s = -p - 118, 3*p - 27 = -s + 79. What is the least common multiple of (3 - 8)/(-2 + 1) and s?
115
Let d be 4 - (70/40)/(6/(-23791)). Let h = d + -6944. Let p = -14549/6 + 2412. Find the common denominator of h and p.
24
Let x = 701 + -414. Let d = 117734/33 + -3568. Find the common denominator of d and (-3)/(-12) + x/12.
66
Let p = -39653164742369/13137396748140 + 191955/118643518. Let n = p - -3/51674. What is the common denominator of n and 82/75?
300
Let i = 426113/66396 + -6/5533. Find the common denominator of 31/24742 and i.
148452
Let j = 25416 + -25409. Suppose -6*u + 1317 = -3*u. What is the lowest common multiple of u and j?
3073
Let k = -2/5991 + -227636/65901. Let r = 97/77 - k. Calculate the common denominator of r and 17.
7
Let t = -136171006 - -4493218579/33. Let p = 12866 + t. Let o = -889/13 - -12269/195. Find the common denominator of p and o.
165
Let d = 12 - 12. Suppose 3*z = -3*b + 192, z - b - 7 - 67 = d. Suppose 3*i + 9 - z = 0. What is the smallest common multiple of 16 and i?
80
Suppose -t + 6 = 0, 4*t - 2 = 4*a - 14. Calculate the lowest common multiple of a and 384.
1152
Suppose 6*i + 35 - 161 = 0. Suppose -i*u - 23*u = -1320. What is the least common multiple of 30 and u?
30
Suppose 7*r - r = -13*r + 342. Calculate the lowest common multiple of 131 and r.
2358
Let s be 40/(-12)*144/(-40). Suppose s*w = 16*w + 440. Find the common denominator of 127/12 and -1*w/18 - 3.
36
Suppose 0 = 9*s + 6*s + 255. Calculate the smallest common multiple of 45 and (4/(-1) - -1)*(-18 + s).
315
Let j = -1808 - -16213/9. Calculate the common denominator of j and ((-2)/8)/(1057/(-84)).
1359
Let z(b) be the second derivative of -b**3/3 + 35*b**2/2 + 27*b + 3. What is the smallest common multiple of 23 and z(17)?
23
Let m(k) = k**3 - 3*k**2 - 8*k + 6. Let x be m(5). Suppose h = 5*h + x, -2*l = 4*h - 2. What is the least common multiple of 3 and l?
9
Let k = -4613/1410 - 4/141. What is the common denominator of 71/(4331/(-915)) + 1/(-4) and k?
20
Let x be (100/10 + -13)*(0 + 1). Calculate the common denominator of x/(-4)*7100/(-6300) and -7/108.
756
Let m be 0/(-1) - (6627/402 - -2). Let f = m - 1/67. What is the common denominator of f and (4 + -5)/(-3) - 7?
6
Let x = -19506 + 27830. Let c = -149885/18 + x. Find the common denominator of -35/24 and c.
72
What is the lowest common multiple of -7 + 29 + 899 + (-2 - -1) and 276?
2760
Calculate the common denominator of -13 + (-3822)/(-112) + -16 and 35/24.
24
Let o be 184/(-6) - 10/(-15). Let t be (-20)/(-30)*o/(-4). Suppose -t*h - 3 = 5*b - 58, 4*h + b - 38 = 0. What is the smallest common multiple of h and 7?
63
Suppose -779 - 157 = -2*p. Calculate the smallest common multiple of 9 and p.
468
Suppose -14627 - 4029 = -22*b. What is the smallest common multiple of 6 and b?
2544
Calculate the common denominator of (-10)/15 + 90/(-28) and (2/154)/((-276)/(-48) - 6).
462
Let y be (-24)/84 + (-1 - 674/(-7)). Let a = -67 + y. Suppose -5*v = -a - 122. Calculate the least common multiple of v and 16.
240
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