9*f. What is the least common multiple of 164 and f?
3772
Suppose -14*k - 192*k = 41*k - 241072. Calculate the least common multiple of k and 488.
976
Let o(n) = 2*n**2 + 36*n + 264. Let l be o(-13). Suppose 36*g = 154 + l. What is the smallest common multiple of 104 and g?
104
Let x = -58/10931 + 692609/13106269. Find the common denominator of 1/436 and x.
4796
Let m = 12533 - 701937/56. Calculate the common denominator of (18/(-5) - -4) + 646/560 and m.
56
Suppose 4*z - 1919 = m, -3*z - 3*m = -1779 + 336. Find the common denominator of (-145)/12 + (-8)/(-12) and -2 - (-3086)/z - (-34)/255.
48
Let a = 68 - 63. Let j(v) = 8*v - 36. Let d be j(a). Find the common denominator of 55/54 and (420/(-686))/(2*d/(-14)).
378
Let f(n) = -n**2 + 144*n - 4764. Let m = -27 - -63. Calculate the lowest common multiple of f(52) and m.
180
Let m = 1/358 + 15203/4296. What is the common denominator of m and 67/1137?
9096
Let k(t) = t + 4. Let b be k(0). Suppose 13 = -2*m + 3*n, -3*n = -b*m - n - 6. What is the least common multiple of m and (-264)/616 - 944/(-8)*1/14?
8
Find the common denominator of 107/80 and 5 - 16/512*(-26692)/(-170).
1360
Let r(c) = -5*c**2 + 17*c + 1. Let z be r(-4). Find the common denominator of (3/((-54)/(-4)))/(z/1638) and 1/360.
2520
Let p = -767/46 + -180/23. Calculate the common denominator of p and (-616)/231 - (-1046)/366.
366
What is the least common multiple of 267 and (8 - (287/28 - 3))/(1/8)?
534
Suppose -2*s - 20 = -6*s, 0 = -k + 3*s - 12. Suppose -3*h = 4*n - 162, 4*n + 185*h - 184*h - 142 = 0. Calculate the least common multiple of k and n.
33
What is the common denominator of (-1)/2*112/48*(0 + 3) and -85/258?
258
Let f(a) = 6*a**2 + 32*a - 64. Let g(v) = v**2 - 1. Let t(i) = f(i) - 5*g(i). Calculate the common denominator of -32/49 and t(-34).
49
Let a(j) = 14*j**2 - 46*j + 4. Calculate the lowest common multiple of a(-7) and 920.
10120
Let b(s) = -3*s**3 + 322*s**2 - 420*s - 217. Calculate the lowest common multiple of 30 and b(106).
2070
Let m(p) = 4*p**2 + 2*p**3 - p - 5*p**2 + 18 - 4*p**2 - 2*p**2. What is the lowest common multiple of m(4) and 66?
330
Let k = -136105 + 136201. Let a = -1 - -5. Calculate the smallest common multiple of a and k.
96
Suppose -3*p = 2*o - 13 - 6, -p - 12 = -3*o. Suppose p*q + 5*b = -176, 64 = -2*q + 5*b - 95. Let d = 68 + q. Calculate the smallest common multiple of 17 and d.
17
Let c be 45/(-43995)*-63*(1 + -2). Let h = -15637/15084 - c. What is the common denominator of h and -29/144?
144
Suppose 3*b + 5*n - 6*n = -941, -5*n - 5 = 0. Let q = -298 - b. Suppose 0 = -0*j - 4*j + 32. What is the smallest common multiple of q and j?
16
Let t = 21535 - 21475. Calculate the smallest common multiple of t and 1860.
1860
Calculate the common denominator of (164/(-6))/(96/(-22)*2453/(-446)) and 103/6140.
55260
Let p = 5085527621/360 - 14126505. Let h = p + 1988/45. Calculate the common denominator of 35/6 and h.
24
Let n = -1229 - -49151/40. Let g be 770278/36 - 88/(-66). Let l = 21404 - g. Find the common denominator of l and n.
360
Let n = -5683 - -45363/8. Calculate the common denominator of -4 - -166*5/120 and n.
24
Let b = -13/1775 - 1311621/14200. Let q = 93 + b. What is the common denominator of q and 44/17?
136
Let b be 6 + 240 + (-1 - 2). Suppose -40*q + b = -37*q. Calculate the smallest common multiple of 54 and q.
162
Find the common denominator of -81/682 and (-11)/3*-17*45/(-63240).
2728
Calculate the common denominator of (-82)/(-24)*6*(-8)/168 and -101/90.
630
Suppose -12 = 2*b - 2, 0 = 4*x - b - 1409. Let i = -779/2 + x. Calculate the common denominator of i and (-2)/(-88)*((-1209)/(-9) - (-4)/(-12)).
22
Suppose -5*o - 4*m + 4830 = 0, -3754 = -3*o + 2*m - 856. What is the smallest common multiple of o and 322?
966
Let f = 28109/231 + -104/77. Let v = f + -247/2. Calculate the common denominator of v and 97/38.
114
Let o(h) = 2*h**3 + 135*h**2 + 63*h - 235. Let a = 27 - 0. Calculate the lowest common multiple of a and o(-67).
297
Let o be (-4)/40 - (-177)/(-30). Calculate the smallest common multiple of (4 - o - 4) + 0 + -1 and 189.
945
Let n = 49 - 0. Let j = 57 - n. What is the common denominator of -11 - -15 - 37/j and -15/2?
8
Suppose -7*a + 8*a - i - 3*i + 85 = 0, -5 = i - 27. Let y be ((-38)/3)/(2/(-6)). Let h = y - 26. Calculate the smallest common multiple of a and h.
12
Let l = 16331/6688 + 84/209. Let d = 1813 - 65257/36. Find the common denominator of l and d.
288
Let s = -1249 - -4969/4. Calculate the common denominator of s and 0 - 3 - (-8)/88*-4.
44
Suppose 0 = 3*c - 5*i - 6911, 0 = c - 4*c + 3*i + 6915. Let g = c + -13771/6. Find the common denominator of 101/18 and g.
18
Find the common denominator of 19/8 and (-17 - -10) + (-204972)/(-29376).
2448
Let c = -20058 - -24274. What is the smallest common multiple of c and 10?
21080
Let g = 1707 - 1297. What is the least common multiple of 120 and g?
4920
Let m = 233/5 - 4639/90. Let s = 52/121 + -1343/10164. Calculate the common denominator of m and s.
252
Suppose 3278*n - 3280*n + 24 = 5*p, 2*n - p = 24. What is the lowest common multiple of n and (-30)/4*(-2 - 0)?
60
Let w(p) = 154*p. Let q be w(-6). Let t be 6014/q + (-5)/35. Let h = t + -1/66. Find the common denominator of h and 47/3.
3
Suppose 0 = 5*v - 2*v - 9. Let b(d) = -2*d**3 - 40*d**2 + 226*d + 4574. Calculate the least common multiple of b(-20) and v.
54
Let o = -10198 - -10393. What is the least common multiple of 320 and o?
12480
Let q(v) = 2*v + 13. Let c be q(-9). Let g be 795/(-6)*(-7)/c. Let r = -177 - g. Calculate the common denominator of r and 117/14.
14
Let h be (1 + 0)/((-17)/85). Calculate the common denominator of 39/77 and ((-3225)/756)/h - (-5)/45.
308
What is the common denominator of (-1)/(-6) + ((-34365)/(-108))/79 and 163/2640?
7920
Suppose 3*w - 99 = 18. What is the lowest common multiple of w and ((-116)/522 + (-164)/72)*(-8)/10?
78
Let u = 1 + 1. Let i(z) = -3*z**2 + 23*z + 14. Let q be i(8). Suppose d + 2*n + 46 = q*d, -d - 7 = 5*n. Calculate the smallest common multiple of u and d.
8
Suppose -n + j = 4 - 3, 3*n + 3*j = 21. Let b be 908/(-8)*n/54. Let u = b + 50/9. What is the common denominator of u and -91/36?
36
Let s = 307 - 278. Calculate the smallest common multiple of 138 and s + 2/4*8.
1518
Let u = -8710 + 8750. What is the lowest common multiple of u and 2324?
23240
What is the common denominator of 7/12 and (-13)/2041*((-189)/(-30) + -4)?
9420
Let d be (9/36*1)/((-2)/8). What is the smallest common multiple of 32 and d + 6 + 5 + -6?
32
Let u = 357106467967/165 - 6491262505/3. Let x = u - 527473. Let i = x - -66/5. Calculate the common denominator of i and -5/17.
187
Let y = -309103/48 + 6440. Find the common denominator of (2 - (-41)/(-30))*(-30)/36*3 and y.
48
Let p be (35/21)/(2/6). Suppose 3*t - 2 = -p. Find the common denominator of -1*117/(-60) + t and 97/18.
180
Let w = 294127/2558650 - 22/17525. What is the common denominator of 107/50 and w?
3650
Let z = 808331/8 - 101051. Calculate the common denominator of z and (-124)/(-30) - (-2)/(-6).
40
Let l = 127 + -62. Let j = -20 + l. Suppose 0 = -7*g + 2*g + j. Calculate the smallest common multiple of 6 and g.
18
What is the common denominator of 198/(-264)*32/258 and 36/43?
43
Let h(i) = -2*i**3 - 18*i**2 - i - 8. Suppose -12 = -q - 21. Calculate the smallest common multiple of 185 and h(q).
185
Suppose -s - 41 = -2*s + 5*r, 0 = 4*r + 20. What is the common denominator of (52/s + -3)*-62 and (3/(-66))/(2/74)?
22
Let g(r) = r**2 + 38*r + 582. Calculate the least common multiple of 1749 and g(-35).
5247
Let j(m) = 2487*m + 34824. Suppose -h + z = -75, 3*h + z - 6*z = 215. What is the least common multiple of h and j(-14)?
240
What is the common denominator of 494/(-28) - (-34 - -18) and -53/32?
224
Let q = -271 - -2476/9. Let i = 1/2229 + -51269/4458. What is the common denominator of i and q?
18
What is the common denominator of 93/2 and (11909/5955 + -2)/(12/(-1038))?
11910
Let p = -5193779/66334200 - 4/110557. Calculate the common denominator of p and 133/180.
1800
Let i(q) = 3*q - 313. Let k be i(0). Let m be (-14)/(-63) + k/(-9). What is the least common multiple of -1 + m + (-17)/17 and 11?
33
Let j = 1790/3113 - 5998831/9961600. Calculate the common denominator