?
13536
Let n = -1381 - -12392/9. Suppose 2 - 28 = -5*u + 3*f, u - 8 = 2*f. Find the common denominator of n and ((u + -1)*(-102)/(-30))/10.
450
Suppose 24 + 29 = 4*y - 7. What is the smallest common multiple of 534 and y?
2670
Let t = -496 + 1925/4. Let i = -11 + -1. Find the common denominator of t and (-415)/60 + (2 - i/(-9)).
4
Calculate the common denominator of -41/570 and 4/10 + (-16)/(9120/(-382)).
570
Suppose -v + y + 26 = 0, 5*v - v + 2*y - 92 = 0. Suppose -10*m + v = -4*m. What is the common denominator of 3 + (5 - m) + (-56)/5 and -27/5?
5
Suppose -3*z + 3*m - 15 = 0, 2*m = 3*z - 3*m + 23. Let o be 44 + 3 + z - -2. Suppose 26*a = 22*a + o. What is the smallest common multiple of 12 and a?
12
Let o = 4332 - 121315/28. What is the common denominator of o and 2*-6 + (-1182102)/(-101780)?
140
Suppose -2*b = 2*b - 20, -5*a + 50 = -b. Let l = 199 + -102. What is the smallest common multiple of l and a?
1067
Let d = -5041 - -5402. Calculate the lowest common multiple of d and 532.
10108
Suppose 768 = -31*t - 69. What is the common denominator of -91/4 and (t/(-956))/((-150)/(-700))?
956
Let v = 6467/5 - 103687/80. What is the common denominator of v and (-41)/36 - (3 + -1)?
144
Let k(f) = 2*f**2 - 9 + 25*f**3 + 4 - 21*f**3 - 4*f. Let y = -16 + 25. What is the smallest common multiple of k(2) and y?
27
Let t = 7 - -8. What is the lowest common multiple of t and (1 + -21 - (-2496)/192)*12/(-14)?
30
Let j = 51 - 41. Let f(s) = -1. Let m(u) = 4*u - 12. Let y(b) = -2*f(b) + m(b). What is the smallest common multiple of j and y(5)?
10
Suppose 0*y = 3*y - 2*o - 18, 2*y = o + 11. Suppose -y*p = 3*p - 112. Let a = -36 - -43. What is the least common multiple of p and a?
112
Find the common denominator of -32/7 and -1 + 710/108 - (10 - 6).
378
Let p be -2*2*(-9)/12. Suppose -7*l + 2*b + 198 = -p*l, -5*b + 5 = 0. Suppose -22 = -4*n + l. Calculate the smallest common multiple of 14 and n.
126
Suppose -37*n + 99*n = 45*n + 82586. Calculate the smallest common multiple of n and 70.
24290
Let c = -28168 + 33480. Calculate the lowest common multiple of c and 176.
58432
Suppose 77*o = 83*o + 2298. Let g = o - -390. What is the least common multiple of 589 and g?
4123
Suppose 2*m + 20 = m + 5*l, -2*m + 5*l - 20 = 0. Let h be ((-20)/(-3))/((-4)/(-66)). Suppose -w + 6*w - h = m. Calculate the lowest common multiple of w and 6.
66
Let j(i) = 16*i**3 + 3*i**2 - i + 6. Calculate the least common multiple of j(3) and 6.
462
Suppose 0 = -10164*v + 10147*v + 15504. What is the least common multiple of 2052 and v?
8208
Suppose 10*q - 2*q = 88. Suppose -2*k + 6*k - 3*a = -q, -4*k = 2*a + 26. Calculate the smallest common multiple of 8 and (-84)/(-140) + (-1 - 107/k).
168
Suppose 2*l + 2*v - 96 = 0, -l + 132 = 2*l - 3*v. Let n = l + -43. Let h = n + 1. What is the lowest common multiple of 4 and h?
4
Calculate the smallest common multiple of 4/26 - (-14)/(-42)*8694/(-91) and 113.
3616
Suppose 0 = -3*v + 9*v + 24. What is the common denominator of 1/3 and 3/v + (-279)/432?
48
Let i(m) = -7*m + 105. Let k be i(17). Calculate the common denominator of (-38)/(-80)*((-77)/k + 2) and -1/16.
16
Suppose -33*l + 17910 = 28*l - 12102. Calculate the least common multiple of l and 192.
7872
Let i be 0 + 4 + -1*(-4 + 7). Suppose -4*l = l - 135. Calculate the smallest common multiple of l and (-1)/5*-5*i*27.
27
Suppose -3*l + 10 + 119 = 0. What is the common denominator of 91/10 and (-16)/(-4 - -12) - l/(-62)?
310
Let i = -4689221/25380 - -8680/47. Find the common denominator of 103/1680 and i.
15120
Let n = 710 - 633. Let y = n + 149. Calculate the lowest common multiple of 8 and y.
904
Find the common denominator of (-36272)/95872 + (-18)/(-42) and 63/40.
4280
Let a be 5/(-30)*3 - (-92)/8. Calculate the common denominator of ((-327)/6)/((a - 5) + 5) and 97/18.
198
Let d = -216 + 215. Let t = -884 + 7918/9. What is the common denominator of t and (176/(-64))/(d/(26/(-12)))?
72
Let p(r) = -17*r - 39. Let t(j) = -16*j - 40. Let z(o) = -5*p(o) + 6*t(o). Calculate the least common multiple of 8 and z(-5).
40
Suppose 4*g = 4*t - 28 - 12, t = -g - 2. Let y(j) = 3*j**3 + 9 - 7*j**2 + 0*j**3 - 4*j**3 - 7*j. What is the smallest common multiple of y(g) and 9?
45
Let h = -27712483/48 - -579899. Let c = h + -2557. What is the common denominator of -91/24 and c?
48
Let l = -14 - -45. Suppose -5*u = -2*j - 385, -3*u + 6*j + 217 = 2*j. Suppose 4*p - l = -u. What is the common denominator of 133/6 and p?
6
Let q(t) = -t**3 + 115*t**2 - 224*t - 185. What is the common denominator of 93/94 and q(113)?
94
Calculate the least common multiple of 390 and ((-299)/(-92))/(25/60*2/250).
1950
Let w = 2179/2 + -1064. Let a = -6424/181 + -3/362. What is the common denominator of w and a?
2
Let f = 0 + 8. Let o(h) = h**2 + 9*h + 23. Let l be o(-5). Calculate the smallest common multiple of f and 25/(100/144) - (l + -3).
72
Let o = 24148/7 + -3454. Let r = -1/1725 + -1421/6900. Calculate the common denominator of o and r.
644
Suppose 0 = -2*y - 2*y, -28 = -4*v + 5*y. Suppose -o - 4*j = v, o + 3*o + 4*j + 4 = 0. Calculate the smallest common multiple of o and -4 - (-1 - -25)/(-3).
4
Let i be (1 + 24)/((-56)/224). Let b = -729/7 - i. Calculate the common denominator of b and -29/249.
1743
Let r(x) = 6*x**2 + 285*x + 238. Calculate the lowest common multiple of r(-50) and 6.
2964
Suppose 2*p - 20 = -4*b, 2*b + 12 = 4*p + 3*b. Calculate the lowest common multiple of (-5 - -105)/(p - 1) and 6.
300
Let j be (-186)/((-69)/92 + 290/408). Let v = j + -1014997/214. Find the common denominator of v and 53/6.
642
Suppose 0 = -d - 4*c + 65, -4*d + 5*c = -283 + 65. Suppose -d*s = -69*s + 192. Calculate the lowest common multiple of s and 982.
7856
Let n(i) = 14*i**3 - 19*i**2 + 50*i + 95. What is the lowest common multiple of 12 and n(5)?
1620
Let n = 95 + -51. Suppose -n = -14*w + 110. Find the common denominator of -19/8 and (w - 6) + (-10)/6.
24
Suppose d - 2*s + 23 - 30 = 0, 0 = -2*s - 6. Calculate the least common multiple of d and 184.
184
Suppose 267 = -9*x - 111. Calculate the least common multiple of 20 and (63/x)/(2/(-8)).
60
Let w = 86305/54 - 1598. Find the common denominator of w and -12 - (11 - (-111)/(-9)).
54
Let j = -49 + 76. Let x = 84 + -24. What is the least common multiple of j and x?
540
Suppose 76922 = -2*q + 3*z, -59140 = q + z - 20689. Let o = 2768647/72 + q. Find the common denominator of o and 107/20.
360
Let i be (379681/275)/(5/((-688225)/12)). Let x = 15836721 + i. Let g = x - -97/30. What is the common denominator of g and -68/9?
396
Let l = 411285/106 - 3880. Find the common denominator of 13/40 + 24/30 and l.
424
Let v = 858107/6 - 150807. Let a = v - -7808. What is the common denominator of (252/(-162))/(8/102) and a?
6
Suppose -282*d = -306*d + 720. Calculate the smallest common multiple of d and 2346.
11730
Let g = -75 - -73. Let l be -5 - -1 - g*(-1 - -7). Suppose 3*w - 91 = -5*f, -6*f = 2*w - l*f - 34. What is the least common multiple of 6 and w?
66
Suppose -w + 2 = 0, a = 3*a - 4*w - 8. Suppose 0 = -23*n + 77 - a. Calculate the smallest common multiple of 43 and n.
129
Let t = 87 - 60. Suppose 3*i = 108 - t. Let x = 38 - i. Calculate the least common multiple of 1 and x.
11
Calculate the common denominator of 37/57 and 6 - (42948/10260 - (-3)/2).
570
Let s = 9388483 + -112530059/12. Let k = s - 10971. What is the common denominator of k and -35/2?
12
Suppose 237*n = 4131 + 58437. Calculate the lowest common multiple of 660 and n.
1320
Let l be (900753/273780 - -1) + (-8)/(-20). Let h = 1007/169 - l. Find the common denominator of 45/8 and h.
216
Let r = 77916667/12 - 6488564. Let m = r + -4485. Calculate the common denominator of 32/3 and m.
12
Suppose 0 = 2*y - 4*o - 120, o - 324 = -5*y - o. Suppose -24*i - 151*i + 3500 = 0. Calculate the least common multiple of i and y.
320
Find the common denominator of 296/(-20)*55/88 and 5/36.
36
Let u(k) = 1147*k - 143. Calculate the least common multiple of 12 and u(3).
19788
Let z(v) = -30*v - 4. Let y be z(-2). Suppose 3*u - y = 109. Calculate the lowest common multiple of 4 and u.
220
Suppose -22*v + 9*v + 288 = 11*v. Calculate the lowest common multiple of 5362 and v.
32172
Suppose 0 = 54*k - 57*k + 666. Suppose -6*p = -24 + k. Calc