5.
55
Calculate the common denominator of 14/105*(-21)/14 and -149/36.
180
Calculate the smallest common multiple of 1/((-1)/(-5)) + 1 and 2/39 - (6/183 - (-737877220)/(-673257)).
3288
Let y = -338 - -796. Let d = y + -3643/8. Calculate the common denominator of 1/59 and d.
472
Find the common denominator of (-424)/32*(-4)/(-58) and -2*3 + (-1360)/(-384).
696
Suppose -11*l + 9*l = -20. What is the least common multiple of 8 and 156/l + ((-8)/10)/(-2)?
16
Let r = 184169/4 - 45741. Let a = r - 302. Calculate the common denominator of 36/11 + (1 - 2) and a.
44
Let l be -2 - (-34555)/12*(-10)/(-25). Let q = l - 1154. Let x = -29075/6 - -4870. Calculate the common denominator of x and q.
6
Let t(k) = -37*k - 337. Calculate the lowest common multiple of t(-10) and 3966.
43626
What is the common denominator of 29/12 and (-15)/(-126)*(-1073)/(-37)?
84
Calculate the common denominator of (-9)/(-21) - (-2692)/(-2100) and -2 - ((-32)/176 - (-1900)/(-198)).
225
Let u = 32 + 3. Suppose 5*c - 5*f = 130, -2*f + 39 = 4*c - u. Let l = 166605 + -166597. What is the smallest common multiple of l and c?
168
Let s be -2 + (2 - (1 + 2)). Let g be 1216/(-22) - 0 - (-75)/275. Find the common denominator of -119/24 and g/66*((-26)/s - 0).
72
Let z = -2/211 + 12041/1477. Calculate the common denominator of (-30)/(-25) - ((-1045)/(-266) + 1/5) and z.
14
Let k(a) = -a**3 - 9*a**2 - 7*a - 6. Let x be k(-6). Find the common denominator of 8 - (-2020)/(-250) - (-702)/400 and 3 + (-2)/(x/(-123)).
120
Let q = -77 - 117. Let o = -3105/16 - q. Calculate the common denominator of (-16)/(-28) - (536/(-42) - 1/6) and o.
16
Let l = -92 + 92. Let k be (-1 - l)/(8/(-680)). Suppose -k + 103 = 2*y. What is the least common multiple of 7 and y?
63
Let t = 3/1160 + 23487/1160. Let p be ((-20)/424)/(10/5165). Let g = -6/53 - p. Find the common denominator of g and t.
4
Suppose -7*a - 143 + 551 = 5*a. Let n be (4 - 4)/(-3 + 2). Suppose l + 5*k = -11, -l + 4*k + 11 + 5 = n. What is the smallest common multiple of l and a?
68
What is the smallest common multiple of 22 and (-18 + (-780)/(-45))*(-5830 - -1)?
42746
Suppose 11*u = 2199 + 705. What is the lowest common multiple of 120 and u?
1320
Let n = 176 + -427. Let a = -242 - n. What is the least common multiple of a and 11?
99
Let y = -11483 - -114739/10. Calculate the common denominator of -97/1362 and y.
6810
Let u(s) = 17*s + 1231. What is the lowest common multiple of u(24) and 55?
8195
What is the common denominator of (-1 + 11)/(16/(-10)) and ((-6298)/(-402))/(5/(15/(-34)))?
68
Suppose -d + 703 = 5*w, -3*d = -5*w - 805 - 1264. What is the smallest common multiple of d and 495?
3465
Let m = -45 - -28. Let i = 2219/9 - 246. What is the common denominator of 7280/1989 - 2/m and i?
9
Let g = -206149/330 - -6817/11. Calculate the common denominator of g and -103/36.
180
Let x = 50 + -52. Let v be x - -196 - 8/2. Suppose -j = j + o - 376, -v = -j - o. What is the smallest common multiple of j and 2?
186
Let r = 16 + -13. Suppose z + 2*f = 67 - 53, -106 = -5*z - 4*f. Calculate the least common multiple of r/4 + 77/4 and z.
260
Let y = 73/49 - -839/588. What is the common denominator of -33/1930 and y?
11580
Let t = 41188872409 - 1357997123187343/32970. Let f = -2/5495 + t. Find the common denominator of f and 1/165.
330
Suppose 0*o = -12*o + 96. Let t(z) = -z**3 + 6*z**2 - 2*z - 4. What is the lowest common multiple of t(2) and o?
8
Suppose -105*q + 117*q = -864. What is the common denominator of -70/99 and (-434)/q*22/(-77)?
198
Let p(m) = -4*m - 82. Let a(t) = t + 4. Let z(c) = -2*a(c) - p(c). What is the smallest common multiple of 27 and z(-22)?
270
Let s be (17/(-22644))/((-4)/(-21994)). Let w = 1/333 + s. What is the common denominator of w and -4/13?
104
Calculate the common denominator of 83/538 and (-366)/(-8)*278/417.
538
What is the common denominator of 73/800 and (7/(-91))/((-78)/19097)?
2400
Let a = -23165/1944 - -10/243. Let f = -103/229 + 11/2061. Find the common denominator of a and f.
72
Let l be (3 - 1) + 12/(-3) + 51. Let o = -40 + l. Calculate the smallest common multiple of (6/(-1))/(o/(-6)) and 40.
40
Let g(v) be the second derivative of -v**5/20 + 2*v**4/3 - 4*v**3/3 + 4*v**2 + 26*v. What is the least common multiple of 25 and g(4)?
200
Suppose -r - 2*a = -3*r + 2, -15 = -3*r - a. Let l(c) = -c**2 + 4*c + 1. Let t be l(r). Find the common denominator of t*(2 + 30/4) and -12/7.
14
What is the common denominator of -27/5 and (-312)/(-16)*(352/900)/11?
75
Let b = -1286976/6409 - -3414/17. Let u = 2687/3016 - b. What is the common denominator of u and -81/148?
296
Let x = 665197/74 + -8989. Calculate the common denominator of x and (-63)/18 + 291/(-36).
444
Let l be ((-2)/(-8))/((-8510)/16 + -4). Let o = l + -43343/7145. Find the common denominator of -33/5 and o.
15
Suppose 1214 = -u - 4*l + 358, -4*u - 3413 = 5*l. Calculate the common denominator of 44/5 and (-16 - -22) + u/139.
695
Let p be (-3512752)/(-72)*(-15)/(-40). Let l = 18307 - p. Find the common denominator of 11/124 and l.
372
Suppose 2*f - 84 = -3*i, f - 25*i + 20*i - 16 = 0. Calculate the lowest common multiple of f and 60.
180
Let w = 124536 + -98009859/787. Find the common denominator of w and -14/15.
11805
Suppose 5*b - 3*i = 215, 129 = 3*b + 4*i + i. Let z = -20 - -22. Calculate the lowest common multiple of z and b.
86
Let f = -118457113/765 + 154846. Calculate the common denominator of -91/165 and f.
8415
Let d(o) = 111*o**2 - 19*o + 80. Let g be d(6). Let n = -150535/38 + g. Calculate the common denominator of n and -107/20.
380
Let k = 16/629 - 34174/8177. Let r = 309/2 - 165. Let f = 112/5 + r. What is the common denominator of f and k?
130
Let v be 1*(-6 + 1 + 3). Let i(l) = l**2 + l + 3. Let h be i(v). Suppose -h*r + 36 = -4. Calculate the least common multiple of 8 and r.
8
Suppose -2*b + 7*w - 4 = 5*w, w = 0. Calculate the common denominator of -35/8 and (1/(-2))/(b - (-201)/192).
488
Suppose 188*p - 131*p - 1026 = 0. What is the smallest common multiple of -180*(48/30 - 2) and p?
72
Let t = 171076183451/34380 + -24880181/5. Let k = 7/764 + t. Find the common denominator of k and 43/54.
54
Let u(t) = 707*t**2 + 1480*t + 7. Calculate the smallest common multiple of u(-3) and 3860.
3860
Let p(f) = f**2 + 12*f + 31. Let g be p(-7). Let y = 625 + -2525/4. What is the common denominator of g/((-192)/(-99)) - (-5)/10 and y?
16
Let z = 3710 + -11167. Let b = z - -402605/54. Calculate the common denominator of 41/3 and b.
54
Suppose 3*t + 114*x = 112*x + 382, 2*t - 273 = -5*x. What is the least common multiple of t and 1384?
42904
Find the common denominator of 136/(-72)*(1 - (-6)/(-4)) and 25/72.
72
Let q(u) = 2*u - 2. Suppose -9*k + 37 = 19. Calculate the lowest common multiple of (4 + k - 1) + 1 + -2 and q(3).
4
Let m = 1/6341 + -729271/355096. Let d = -26581/35 - -760. Calculate the common denominator of d and m.
280
Let i(y) = -5*y + 6. Let g be i(-4). Suppose -t - 5 = -g. What is the smallest common multiple of 40 + 0 + -8 - 2 and t?
210
Suppose -r + 80 = 4*r. Let g be (-18)/(-20) - (-2)/20. Suppose 0 = x + g, 0 = 3*b - x - 439 + 84. Calculate the least common multiple of b and r.
944
Let q = 10300 - 92729/9. Let h = 47615/21 - 2270. What is the common denominator of q and h?
63
Let s(k) = 82*k - 731. Let x(w) = w**2 + 2. Calculate the least common multiple of x(3) and s(9).
77
Let v = -35603 - -18335531/515. What is the common denominator of v and -23/25?
2575
Suppose -5*p - 3*w - 468 = -2*p, -3*p + 5*w = 444. Let s = 183 + p. Calculate the lowest common multiple of 1 and s.
30
What is the common denominator of (-20)/(-90) - (-304)/(-18) and (-76)/1260 - (7 + (-290)/42)?
45
Let n = 75 - 51. Suppose 0*o + n = -4*o. What is the lowest common multiple of 22 and o/4*1100/(-33)?
550
Calculate the common denominator of 31/21 and 6 + 143835/(-7245) - -14.
483
Let q = 2673403/7 - 382853. Let r = -940 - q. What is the common denominator of (-6)/10 - 474/110 and r?
77
Let d be (526/4)/((-34)/4 + 9). Let b = -245 + d. What is the smallest common multiple of b and 362?
3258
Let f(a) = a - 11. Let x be f(7). Let g be (-12)/8 - (-22)/x. Find the common denominator of -31/18 and (-1725)/1092 - (-2)/g.
468
Let a be ((-2216)/(-1054))/(69 - 67). Let b = a - 