6.
1584
Let h be 218949312/(-18704) - ((-4)/(-2) + -4). Let q = h + 11704. Let d = 155693/14028 + q. Calculate the common denominator of 59/12 and d.
12
Suppose -5*r = 3*x - 775, -r - 9*x + 5*x = -155. Let h = 179 - r. Calculate the lowest common multiple of ((-2)/4)/((-2)/40) and h.
120
What is the common denominator of 69/68 and 31995/(-3570) + 9 + -7 - -7?
476
Let t = -48/98031047 - 1105690805353/2805648565140. Let m = 48/265 + t. Find the common denominator of m and -77/24.
216
Suppose 4*m + 30 - 110 = 0. Suppose -55633*p + 55603*p + 1560 = 0. What is the smallest common multiple of m and p?
260
Let f be 10/(-155) - (-12)/186. Calculate the common denominator of -62/5 and f + ((-1043)/210 - -1).
30
Let i = 48238/9 - 128587/24. Let w = 118140 + -12050143/102. Find the common denominator of w and i.
1224
Let q = -80233/120 + 2014/3. Find the common denominator of q and 61/200.
200
Find the common denominator of ((-3339)/105 - -13)*(-5)/(-54) - 0 and -11/7041.
63369
Let g(f) = -f + 26. Let z(y) = y. Let b be 46/(-161) - 16/(-7). Let k(c) = b*z(c) + g(c). What is the least common multiple of k(-16) and 7?
70
Let c be 4/(-14) + 5960/(-14). What is the common denominator of 57/(-6)*(-65714)/(-60610) and ((-138)/8)/(c/(-4))?
710
Suppose -2938*w = -2922*w - 32800. What is the least common multiple of w and 6?
6150
Let v(o) = -o**2 - 18*o + 3. Calculate the smallest common multiple of v(-18) and 60.
60
Let l = -2929/40 - -289/4. Suppose 6*w - 3*w = -2*f - 27, -2*w + 2 = 0. What is the common denominator of 4 + f*10/44 and l?
440
Let w = -152 + 68. Find the common denominator of 8/(-11) - (-7)/(w/18) and (-2)/6 - (-530)/1140.
418
Suppose -73 = 3*f - 7. Let u be 8/(-16) - f/4. What is the smallest common multiple of 32 and u + (-26)/(-8) + (-4)/16?
32
Let i(j) = 4*j - 98. Let a be i(30). Suppose 3*p - a - 1 = -4*u, 4*u + 4*p = 28. Calculate the least common multiple of 4 and u.
4
Let k(f) = 5*f**2 + 4*f - 3. Let y(l) = 6*l**2 + 3*l - 4. Let s(h) = -5*k(h) + 4*y(h). Calculate the smallest common multiple of s(-6) and 4.
44
Suppose 4*d - 1390 = -3*q, -q - 8*d + 6*d = -466. What is the least common multiple of q and 12?
2748
Suppose 0 = -4*y + l + 39, 2*y - 4*l + 24 = 6*y. What is the lowest common multiple of 146 and y?
1314
Let x = 160 - 96. Let r = x - 16. Let w(p) = p**2 + 5*p - 3. What is the least common multiple of w(-8) and r?
336
Let h = 8450/43 - 2160663/11008. Calculate the common denominator of 41/224 and h.
1792
Calculate the lowest common multiple of 715 and (27/81)/((-2)/(-780)).
1430
What is the smallest common multiple of 154 and ((-1)/(-4)*(-8)/(-6))/((-383)/(-112602))?
1078
Let i be (-4)/(-10) + (-57416)/(-10). Let t = -132036/23 + i. Calculate the common denominator of (-4)/(-132) - (-13 + 9088/792) and t.
207
Suppose 23336 = -84*s + 46*s + 132396. Calculate the smallest common multiple of 40 and s.
11480
Let n be (1 + -38 + 1)/((-5372)/2054). Let w = 197/102 - n. Let a = 2/37479 + 528865/99944. Calculate the common denominator of a and w.
24
Let b(s) = -2031*s + 41. Let c be b(-3). Let m = -135011/22 + c. What is the common denominator of m and -5/16?
176
Let j = -166140899/500 + 332282. What is the common denominator of -53/4 and j?
500
Let f(d) = d**3 + 2*d**2 + 77*d + 6. What is the smallest common multiple of f(11) and 10?
12130
Suppose 0 = -p + 6*p + 6330. Let l = p - -2022. Calculate the common denominator of 4/(-14) + 6558/l and -61/4.
36
Suppose 6*h = 11*h + 120. Calculate the lowest common multiple of 37 and (-5 - -1) + h/(-3).
148
Let z be (-76)/190 - 2/(160/251458). Let j = -3131 - z. Calculate the common denominator of j and 143/204.
408
Let l(s) = 3*s**3 - s. Let d be l(-3). Suppose 139*t - 11833 = -574. Let j = d + t. What is the lowest common multiple of 22 and j?
66
What is the least common multiple of 27/45 + 74485/25 and 16?
11920
What is the common denominator of 149/342 and (-1171050)/1298916 + 2/2?
1026
Let i(q) = -34*q - 228. What is the smallest common multiple of 584 and i(-11)?
584
Let n = -86335/27 + 3198. Calculate the common denominator of 13 + 3964/(-1296)*4 and n.
81
Let b(y) = y**3 - 11*y**2 + 29*y + 48. What is the smallest common multiple of b(8) and 14?
616
Suppose -10*n + 17*n = 259. Suppose 7*x = 6*x - n. Let z = x - -55. What is the lowest common multiple of z and 3?
18
Let z = -25233/10 + 2513. What is the common denominator of (-15)/(-6)*33/(-195) and z?
130
Suppose 24252 = 70*h + 59*h. What is the lowest common multiple of 8 and h?
376
Let w be (-1682)/2550 + (-481)/39 + 13. Let x = -19951/3400 - w. Let f = 1/685 - -41781/2740. Calculate the common denominator of f and x.
8
Let k(v) = -v**3 - 18*v**2 - 49*v + 162. Calculate the least common multiple of 126 and k(-16).
3906
Suppose j = -5*v + 2*v + 452, -j = -2*v + 303. Let w = -129 + v. What is the least common multiple of 106 and w?
1166
Let h(z) = -z**2 + 6*z + 28. Let k be h(0). Suppose 2*g + s - k = 0, -5*g + 5*s + 59 = 2*s. Calculate the lowest common multiple of g and 27.
351
Let q = -2211/20 - -649/5. Calculate the common denominator of q and 53/9396.
9396
Suppose w - 15348 = -2*q, 3*q + w - 16754 - 6268 = 0. Calculate the lowest common multiple of q and 10.
38370
Let o = 47 - 44. Let j be 4 - (11/(-1) + o). Suppose -3*g + 4*z = -j, z - 46 = -5*g - z. What is the least common multiple of g and 10?
40
Find the common denominator of -11/4 and (1894923/(-172242) + 11)*-1.
38276
What is the common denominator of 55/588 and (81/23814)/(10/199)?
2940
Let x = 2/84851 - -12642751/2036424. Let s be (179070/(-20))/((-2)/4). Let d = s + -376129/21. What is the common denominator of d and x?
168
Let z be 6/45 + 274/(-30). Let j(d) be the second derivative of -d**4/12 - 5*d**3/3 - 5*d**2/2 + 3*d - 11. Calculate the smallest common multiple of j(z) and 2.
4
Let m = -244627945/812 - -301266. What is the common denominator of m and 11/12?
2436
Let l = -815/4 + 717/4. What is the common denominator of 2 - (171/36 + 2/4) and l?
4
Let m(s) = 35*s + 88 + 63 - 153 - 8*s**2. What is the lowest common multiple of m(4) and 105?
210
Let x(r) = r**3 - 4*r**2 - 4*r - 1. Let v be x(5). Let f be (-17 - -65)/(6/v). Let q = f - 22. Calculate the smallest common multiple of 29 and q.
290
Let s = 14947 + -13708. What is the least common multiple of s and 1947?
13629
Let s = 9490 + -75827/8. Suppose 0 = -10*a + 9*a + 529. Suppose a = 10*q + 159. Calculate the common denominator of s and q.
8
Let w = -2096/3 + 45953/66. Let l = -12 - -12. Calculate the common denominator of w and (69/66 - -3) + l/(-4).
22
Let s = -1826525/74718 + 1538/63. Calculate the common denominator of -99/26 and s.
15418
Let p be (-10908)/8*-1 + -5. Let o = p - 1393. What is the common denominator of o and 49/164?
164
What is the common denominator of ((-118)/(-1))/2*(-42)/((-3301872)/31) and -67/26?
32968
Let i = -59 - -19. Let u = i - -22. What is the common denominator of -107/24 and (-155)/u - (6 - (1 - -3))?
72
Suppose -285 = 5*j - 5*x, 3*j + 3*x + 2*x + 163 = 0. Calculate the common denominator of 63/(-6)*-6*(-2)/j and 31/12.
12
Let n = -1620248699/4836 + 335039. Find the common denominator of -82/33 and n.
53196
Let g = 223819 - 1358605/6. Let z = g + 2629. Let n = 9/191 + 2285/4202. Calculate the common denominator of n and z.
66
Calculate the least common multiple of 84 and (3/14 - 0)/(156/(-546))*-44.
924
What is the lowest common multiple of 476 and -4 - (1/8 - (-84502)/(-176))?
476
Let m = -66437/180 + 3280/9. Calculate the common denominator of m and -91/8.
40
Let h(r) = r**3 + 11*r**2 + 14*r + 54. Let f = -339 - -329. Calculate the least common multiple of h(f) and 74.
518
Calculate the common denominator of (-3244)/(-1092) - 15/(-1 + 6) and -62/741.
5187
Let j(h) = h**3 + 11*h**2 + 13*h - 27. What is the least common multiple of 1698 and j(-9)?
5094
Let q(u) be the third derivative of -u**4/24 + 23*u**2. Let k be q(9). Calculate the common denominator of k/(-150)*(-85)/(-2) and 63/8.
40
Let r be 74*6/156 - (-4)/26. Suppose -r - 43 = -23*h. Calculate the least common multiple of h and 298.
298
Calculate the common denominator of 64/1445 and -8 + (65639/7854 - (-4 - (-252)/66)).
8670
Calculate the smallest common multiple of (129/12)/(1/48) and 42.
3612
Let y(a) = -1356*a + 18987.