. What is the common denominator of 2/(-8) + -3 + m and 67/6?
12
Let b = -7395780 - -103307851/14. Let z = 16641 + b. Let o = 229 + -483/2. Find the common denominator of z and o.
14
Let j be 0*3/(-15) - 112/8. Find the common denominator of 93/44 and -14*(j/(-350))/(48/(-130)).
660
Let v = 78871/135465 + -1/2463. Calculate the common denominator of v and 20/3.
165
Suppose -5*b - 677 = 3*i, 4*i + 0*i - 2*b = -894. Let c = i + 240. What is the least common multiple of 38 and c?
304
Let k(c) = -c**3 + 4*c**2 + 3*c + 15. Let f(o) = -o + 20. Let z be f(15). Let b be k(z). Calculate the smallest common multiple of 7*((-200)/(-28))/b and 10.
10
Suppose n - 798 = 2*v - 118, -3*v - 2*n = 1034. Let k = -245 - v. What is the lowest common multiple of k and 1?
97
Let u be -4 - 0 - 130086/(-32517). Let a be (-910596)/216780 - 9/15. Let v = a + u. Calculate the common denominator of 113/6 and v.
30
Suppose 4*f + 510 = 16*f - 354. Calculate the lowest common multiple of f and 1386.
5544
Let j = -232 + 231. What is the smallest common multiple of 8*((-7)/14)/j and 61?
244
Suppose 2*z - 141 = -3*p, z + 8*p - 3*p = 60. Let i = -68 + z. Let w(x) = x**3 - 6*x**2 - 5*x. Calculate the smallest common multiple of 20 and w(i).
140
Let z = 7/569 + 17268/30157. Calculate the common denominator of z and 15/106.
106
Calculate the lowest common multiple of 196572/126 + 60/(-630) and 8.
1560
Suppose -12*k + 50 = -10. Suppose 0 = 5*d - 4*c - 256, -k*d + 224 = -4*c + 8*c. What is the least common multiple of 10 and d?
240
Let x = -6740 - -80785/12. Find the common denominator of (17/34)/((-18)/220) and x.
36
Suppose 0 = -4*c + 35 - 11. Suppose 110*j - 522 = 83*j + 288. Calculate the smallest common multiple of j and c.
30
Suppose 4*c = 4*r + 268, -2*c + 46 + 78 = 3*r. Suppose -5*w = 2*f - 85, 2*f - 3*f + c = 4*w. Let a = 30 - 0. Calculate the lowest common multiple of a and w.
30
Let c be 8/12 - 134/(-6) - 2. Suppose 658 = -7*k + c*k. Let p = 71 - k. What is the smallest common multiple of 6 and p?
24
What is the common denominator of 3/920 and ((-1155)/(-1000))/((-216)/(-60))?
5520
Suppose d + 299 = 2*q, -5*q + 10*q = -3*d + 731. Let h = 149 - q. Calculate the least common multiple of h and 76.
76
Let x(h) = -15*h + 1. Let w be -4*(-10 + (7 - -1)). Suppose -w = -p + 2*t, 23 = 5*p + 3*t - 4. Calculate the lowest common multiple of p and x(-1).
48
Calculate the common denominator of -79/24 and (60/28 - 3/12) + 2.
168
Suppose -t + 1 + 6 = 0. Let z(i) = i**3 + 18*i**2 + 5*i + 91. Suppose -m - 28 = 5*g, -5*m - 44 - 36 = -5*g. Calculate the lowest common multiple of z(m) and t.
7
Let f(a) = a**3 - 32*a**2 + 29*a - 109. Let t be f(23). Let j = 17102038 - 359231077/21. Let d = t - j. What is the common denominator of 85/6 and d?
42
Let t = 112 + -102. What is the common denominator of 23/11 and 3 - (-98)/(-35) - (-117)/t?
110
Suppose -o - 10 = -3*o. Let j = o - 3. What is the lowest common multiple of j and 215476/21443 + 1 + (-86)/82?
10
Suppose 14*g - 29*g = 0. Suppose 2*t + 0*s - s = 11, -2*s + 10 = g. Calculate the smallest common multiple of 103 and t.
824
Let x(d) = -d**3 - 5*d**2 - d - 2. Let u be x(-5). What is the lowest common multiple of (-4)/(-2) - u - -13 and 10*2 + 2856/(-1020)*(-20)/(-14)?
48
Suppose 81*d - 12440 = 31219. Calculate the least common multiple of d and 418.
20482
Let k(g) = -8*g**3 + 4*g**2 - g - 6. Let a be k(2). Find the common denominator of 41/20 and 31/(-7) - 42/a.
140
Let i = -3191 - -4103. Calculate the smallest common multiple of 684 and i.
2736
Suppose 60 = 5*t - 0*t. Suppose -3*m + 2*r - 19 = 0, -3*r = -m - 6*r + t. Calculate the lowest common multiple of 4 + -1 + m + 30 and 33.
330
Let b = 685 - 990. Let m = b + 5491/18. Find the common denominator of m and -62/5.
90
Suppose -17 + 11 = -6*d. What is the smallest common multiple of 15 and (-3 + d)/(-4*(-3)/(-270))?
45
Let n(c) = -6*c**2 + c. Let f be n(1). Let k be f/(-60)*4 + 209/3. Let j = k - -14. What is the smallest common multiple of j and 12?
84
Suppose 6*l - 1889 - 190 - 117 = 0. What is the least common multiple of l and 153?
18666
Suppose -49 = -3*s - 4*s. Let n(u) = -s + 3 + u**2 + 13*u - 12*u. What is the least common multiple of n(3) and 10?
40
Let q = -65/506 + 4933/164450. Find the common denominator of -157/150 and q.
1950
Suppose -2*y = -4*a + 19840, 4*a - 14880 = a - 3*y. Calculate the common denominator of (0 + 1/(-5))/((-96)/a) and -149/18.
18
What is the lowest common multiple of ((-112)/(-64))/(16 + (-1270)/80) and (-1)/2 + (-7)/(-2)?
42
Calculate the common denominator of (-7)/1*1 - (-14 + 192051/27810) and -41/3.
3090
What is the common denominator of 43/24 and ((-714)/23919)/(-4*(-3)/1)?
1608
Let j = 5463 + -5459. Let v = -250 + 402. Find the common denominator of -71/6 and (v/36 - j) + (-913)/18.
6
Let b be ((-136)/56)/(62946/(-525)). Let z = b + -2/269. What is the common denominator of -113/12 and z?
156
Find the common denominator of -65/28 and -18 - (-2388)/132 - (-149)/(-220).
1540
Suppose 2*o + 29 = -5*r, 0*o - 4*r = 2*o + 32. Calculate the common denominator of 6/o*(370/180 - 7) and 73/12.
132
Let o = -287 + 815. Suppose 11*t - o = -t. Calculate the smallest common multiple of t and 58.
1276
Find the common denominator of -47/217 and ((-3)/(-12) - (-48)/(-64)) + (-691)/(-1364).
9548
Calculate the smallest common multiple of 94 and 6*(12 - (-361)/(-38)).
1410
Let h be -1*(-14)/(-2) + -1. Let s be (9 - 9) + h/(-2). What is the least common multiple of 20 and 2/s - (-105)/6?
180
Let v = 57 + -3. Calculate the lowest common multiple of v and (-72)/84 - 3129/(-49).
378
Let u(v) = -v**2 + 19*v - 11. Let z be u(4). Suppose 2*a - 55 = -3*t, -4*a + t = -26 - z. What is the smallest common multiple of 100 and a?
100
Suppose 2*j - 664 = 4*w, 0 = 3*j + 4*w - 739 - 307. What is the least common multiple of (35/10)/(1/6) and j/27 + 4/(-6)?
84
Let r = 1316 + -6626/5. Let u = 8/22533 - 413153/135198. Find the common denominator of u and r.
90
Let f = 6091 - 54877/9. Let v = f + -16/45. Calculate the common denominator of -65/21 and v.
105
What is the smallest common multiple of (-1568)/(-336)*48/14 and 24?
48
Let o = -161313/20 - -8069. Suppose k - z - 5 = 8, -2*k = 5*z - 26. Calculate the common denominator of o and k.
20
What is the common denominator of (-1)/(-180)*(-1168)/492*117/78 and 20/1107?
11070
What is the smallest common multiple of 32 and (-1 - (-235)/15)*(-3 + 108/4)?
352
Let t = -15491/13 + 5668081/4758. Find the common denominator of t and -19/24.
1464
Let o be 6/(-24) - (0 - (-75327)/(-60)). Let b = o + -1250. Let f = -785/3 - -240. Find the common denominator of f and b.
15
Let o(y) = -5*y + 557. What is the least common multiple of o(25) and 66?
4752
Let j be 3 - 2*65/(-10). Suppose -4*t - j - 27 = -3*w, -4*w - 3*t = -99. What is the lowest common multiple of 35 and w?
105
Let s = -5503 - -5523. What is the least common multiple of 4512 and s?
22560
Let w be (((-1539)/3)/(-9))/((-32)/(-30)). Let f = w + -10325/192. Calculate the common denominator of -64/33 and f.
2112
Let k = -27/1238 - -62843/14856. Let n be (-924)/(-99)*(-82)/(-8). Let c = 95 - n. Find the common denominator of c and k.
24
Let n = 1489 - 1459. Calculate the lowest common multiple of n and 250.
750
Suppose -10*z = -15*z - 10, 5*l + 2*z = 33081. Let o = l - 178693/27. Find the common denominator of o and -73/72.
216
Suppose 0*x - 148 = -2*x + 2*g, -3*x = 3*g - 228. Suppose 2*q - 2*l - 40 = 0, -q - 5 = l - 1. What is the least common multiple of q and x?
600
Let g = 11905/22 - 3046833/5632. Find the common denominator of 33/52 and g.
6656
Let d = 52 - 21. Let h = d + -21. Calculate the least common multiple of h and (88/20)/(8/20).
110
Let l = 136451213/1148 + -118860. What is the common denominator of l and -27/16?
4592
Let y be (24/(-60))/((-1)/15). Let w be y/4*(-8)/(-4). Suppose 16 = w*x - 2*x + 4*l, -x + 16 = 3*l. Calculate the smallest common multiple of 10 and x.
80
What is the smallest common multiple of (20/(-6))/(((-124)/(-540))/(-31)) and 156?
11700
Suppose 54*a = 60*a. Let g be (a + 4/(-3 + 1))/(-1). What is the smallest common multiple of 36 and (-118)/(-15) - g/(-15)?
72
Let x = 2935 + -2924. Let c(b) = -b. What is the smallest common multiple of c(-4) and x?
44
Let l(b) 