*f + 0*f - h = 5*n, 2*f = -3*n - 2. What is the smallest common multiple of d and n?
2
Suppose -139 = -3*u + 4*v, 3*u + 2*v = -2*u + 223. Let p = -6972 - -7012. Calculate the smallest common multiple of u and p.
360
Suppose u + 846 = -u. Let j = 9/59 - -133/1062. Find the common denominator of j and (-2)/(60/u) + -2.
90
Suppose -4*v = -8*v - 4*l + 160, -4*v + 2*l = -160. Let a = v - 436. Calculate the common denominator of -73/6 and (2*(-1)/(-5))/(a/(-1845)).
66
Suppose 6*n + 3*n - 41*n = 0. Let f = 28356 + -3572951/126. Find the common denominator of 1 + n + 8/(576/(-618)) and f.
252
Suppose 2*u + 2 = -4. Let m(q) = -6*q + 2. Calculate the smallest common multiple of ((-14)/(-91) - 244/(-104))*8 and m(u).
20
What is the common denominator of -39/1232 and (((-8991)/(-504))/(-3))/(-2 + 17)?
6160
Find the common denominator of 88/45 and (-504)/91560*((-53)/6)/1.
9810
What is the common denominator of (-1131)/(-580) + 1 + (-15)/9 and 127/66?
660
Suppose -2*l = -4*g - l - 17568, -g = l + 4397. Let c = -3479/1252 - -82527059/18780. Let o = g + c. Find the common denominator of -79/4 and o.
60
Let r be 2/(-17) + (-36)/(-17). Let t = r + 18. Suppose -c - c = -t. Calculate the smallest common multiple of c and 12.
60
Suppose 20*i - 315 = -15*i. Calculate the least common multiple of 202 and i.
1818
Let n = 23 - -99. Let z = -50 + n. What is the lowest common multiple of 30 and z?
360
Let w(b) = -8*b - 4. Let l be w(-8). Let y = -42 + l. Calculate the lowest common multiple of y and 392.
3528
Let l = 5241/8 - 646. Find the common denominator of 107/208 and l.
208
Let i = 4309 + -3487. Calculate the lowest common multiple of 18 and i.
2466
Suppose -40395 = -164*p + 5525. Calculate the least common multiple of 210 and p.
840
Let x(i) = 3*i + 23. Let b be x(-8). What is the smallest common multiple of 90 and (b + 0)/((-4)/24)?
90
Suppose 0 = -h + 4*h - 6, 2*h = 5*f - 66. Let d(g) = -8*g - 21. Let w be d(-3). Suppose 39 = s - w. What is the least common multiple of s and f?
42
Calculate the common denominator of (4*1106/(-280))/(4*-1) and -73/336.
1680
What is the least common multiple of 914 and (-975)/(-117) + 4/(-3)?
6398
Let u = -53 + 101. What is the common denominator of 0/68 - u/5 and 2/5?
5
Let x = -919756 - -6420331/7. Let r = x - -2561. What is the common denominator of 19/79 and r?
553
Let t be 24/42 + 11/((-69531)/3600). Let a = t + -191857/63210. Find the common denominator of a and -50/141.
1410
Suppose s + 828 = 5*p, -247 = -4*p - 5*s + 398. What is the common denominator of -15/8 and 145/(-23)*(-22)/p?
552
Let j = 8727 - 6143811/704. Let f = 3395/704 + j. What is the common denominator of 33/25 and f?
275
Calculate the common denominator of -62/9 and 169590/(-15858) + 10 + (-6)/(-9).
7929
Let m(j) = -j + 13. Let u be m(9). Suppose -u*f - 3720 - 772 = 0. Let h = 7878/7 + f. What is the common denominator of -22/9 and h?
63
Let b = 453 + -445. What is the common denominator of 20/121 and b/(-28)*(-5)/(-110)*17?
847
Let x be (24/(-20))/(1 - 3/5). Let w be ((x - -2)*31)/(-1). Find the common denominator of (w - 1)/((-40)/30) and -17/7.
14
Suppose 41*w - 12*w = -23*w + 38376. Calculate the lowest common multiple of w and 246.
738
Suppose -24*g = -13*g - 1023. Suppose k - 35 - 52 = 0. Let y = g - k. What is the smallest common multiple of 46 and y?
138
Let h = 11 + 1. Suppose 8*y - h = 68. Let z = y - 7. Calculate the lowest common multiple of z and 10.
30
Let v = 433858 + -433851. Let l(x) = x**2 - 3*x + 3. What is the lowest common multiple of v and l(6)?
21
Let g = -469083870/4213 - -111342. Let o = 296963/379170 - g. What is the common denominator of o and 52/15?
90
Suppose -3*x - 5*r = -x - 46, 0 = -x - 5*r + 28. Calculate the least common multiple of 4 + (-15)/(-3) + -7 - -2 and x.
36
Let z = -4030 + 4498. Calculate the smallest common multiple of z and 12.
468
Let a = 40259/18 + -2235. Calculate the common denominator of -6 + 7 - 172/144*-2 and a.
18
Suppose 0 = 5*p - 120 - 555. Let y(c) = -1816*c + 36329. Calculate the least common multiple of y(20) and p.
135
Suppose 8*m = -27 + 51. Suppose 6*j - m*j = 2*b + 6, 0 = j - 3*b + 5. What is the least common multiple of 150 and j?
300
Suppose 64*g = 53*g + 134904. Let o = g + -502861/41. What is the common denominator of 570/(-4)*(-1)/(-3) and o?
82
Let j(t) = -t**2 - 29*t + 20. Let a be j(-26). What is the common denominator of 13/54 and a/168*249/105?
540
Let r(t) = -3*t - 15. Suppose 5*y + 2*v + 2 = -36, -5*v - 2 = -3*y. Calculate the lowest common multiple of r(y) and -1 + 2 + 42/(2 - -4).
24
Suppose 9*f + 4*f = 367185. Let c = f + -1355645/48. What is the common denominator of 79/10 and c?
240
Let m(k) = 23 + 2*k**3 - 6*k**3 - 5*k**3 + 16*k - 24*k**2 + 6*k**3 + k**2. Find the common denominator of m(-8) and 93/26.
26
Suppose -2*d = 2, d = -2*p - 2*d - 93. Let r = -2 - p. Let t = r - -1. What is the lowest common multiple of 24 and t?
264
Let y be (35/(-10))/(3/6). Let j(x) = 4*x**2 + 36*x + 8. Let u be j(y). Let q = 15 - u. What is the least common multiple of q and 27?
189
Let o be ((-3)/6)/((-1)/2). Find the common denominator of ((-7)/(-4) - 2) + 145/80 and o/(-2 + (-108)/(-51)).
16
Find the common denominator of 19/495 and 14/5040*(-3)/3*1.
3960
Let s = -101 + 103. Suppose 0*j + j = -3*k + s, 5*k = 4*j + 26. What is the least common multiple of 26 and k?
26
Let x = -7534 - -165779/22. What is the common denominator of x and -51/1046?
11506
Calculate the common denominator of (6/80)/((-3)/(-178)) and 6/11 + 897/572.
220
Calculate the common denominator of (-12)/360*3*44 and (2/66)/((-2)/26).
165
Suppose 0 = -175*q + 8876 + 13524. Calculate the lowest common multiple of 2800 and q.
22400
Suppose 272*u + 2 = 267*u + i, -3*u + 4*i - 25 = 0. What is the lowest common multiple of u and 8789?
8789
Let g = 14/465 - 8102/1395. Find the common denominator of g and (165/(-36))/5*10.
18
Suppose 110 = 5*b + 2*l, -4*b + 41 = l - 47. Suppose 0*c + 2*c - b = 0. Suppose -12*z + 13*z = 6. What is the least common multiple of c and z?
66
Let w(o) = 11*o**2 - 7*o + 6. Suppose 13*v + 10 = 18*v. What is the smallest common multiple of 8 and w(v)?
72
Suppose 3*t - 192 = 4*n, -3*t + 80 = -2*n - 100. What is the least common multiple of t and 196?
392
Let y = -59 + 68. Find the common denominator of (-186)/y*(-3)/4 and -28/101.
202
Let p = 547 + -542. Calculate the common denominator of p - (-7)/((-1078)/777) and -59/12.
132
Suppose 335*s + 28 = 328*s. Calculate the common denominator of 17/174 and 18*(-3)/s*6/8.
696
Let p be 101936/(-36) - (3/6 - 1). Let f = 2828 + p. What is the common denominator of f and -11/918?
918
Let y(r) = -14*r - 21. Suppose -3*d = 3*t + 3, 3*t + 28 = -d + 21. What is the lowest common multiple of 6 and y(t)?
42
Let t = -185 + 191. Find the common denominator of 65/24 and t - (-5 - -13) - 31/(-16).
48
Let z = 735169/56580 + -1576/123. What is the common denominator of z and -101/70?
3220
Let o = -3961/42 + 94. Find the common denominator of o and -80/3741.
52374
Suppose -8*u + 31 = -33. Suppose -u*k + 124 = -4*k - 4*i, -3*i = 2*k - 52. Let b = k - 21. What is the lowest common multiple of b and 7?
56
What is the common denominator of 9/38 and (-36)/12 + 3908/760 + -2?
190
Let f be 10/95 - (-24789)/57. Suppose 33*r = -f + 3141. What is the smallest common multiple of 24 and r?
984
Suppose 3*d + 19 + 671 = 0. Let x = d + 428. What is the lowest common multiple of 10 and x?
990
Let d = -1191267/4 - -5093023/15. Let n(b) = 291*b**2 - 17*b + 17. Let u be n(12). Let f = d - u. Find the common denominator of f and 25/2.
60
Let p = 354 - 352. Suppose -3*v = 2 - 5, -p*w + 87 = -3*v. Calculate the smallest common multiple of w and 45.
45
Let z(x) = 6*x**2 + 43*x + 32*x + 36 - 54*x. Calculate the least common multiple of 34 and z(-2).
306
Let o = -60 - -84. Calculate the lowest common multiple of o and (((-6)/(-16))/((-103)/(-6180)))/(3/2).
120
Suppose 2*u = 6*k - 8*k - 100, -4*k - 205 = 5*u. Let p = k - -83. Suppose -27 = -4*a + 5*h, -5*h + 3*h - p = -5*a. Find the common denominator of a and 26/9.
9
Let a = -33 - -18. Let i(t) = 43*t - 119. Calculate the smallest common multiple of i(3) and (4/6)/((-2)/a).
10
Calculate the least common multiple of 55 + 2 + -4 + 9 and 341.
682
Let x(u) =