20. What is the common denominator of 13/284 and a?
1420
Suppose 0 = 5*y - y - 28. Suppose 6 = -3*t, 13*t - 11 = -3*r + 14*t. Calculate the lowest common multiple of r and y.
21
Let y be 22734/(-7080) + 10/75. Let f = y - -19/118. What is the common denominator of f and 39/14?
84
Calculate the common denominator of 37/649 and (618/48*4)/(0 + (-22)/2).
1298
Let y = 59/77 - 617/231. Let v = 6 + -20. Calculate the common denominator of (-2)/6*(-76)/v and y.
21
Find the common denominator of 3/19 and 21064/(-8496)*6 - -15.
3363
Let s = 23561297/336 - 70123. Calculate the common denominator of s and 115/1078.
25872
Find the common denominator of 29/250 and (2/(-3))/(10/(-6)) - (-39072)/(-114400).
3250
Let b = 302396 + -101000349/334. Calculate the common denominator of b and -26/7.
2338
Let f(x) = x**3 + 24*x**2 - 38*x - 54. Let d be f(-24). Let r = -798/25 - -10451/300. What is the common denominator of r and -2 + -6 + 6214/d?
132
Let p(w) = -w**2 + 7*w - 6. Let h = -685 - -729. Calculate the least common multiple of h and p(4).
132
Suppose 0 = 8*m - 11*m + 12. Suppose 0 = -36*t + 42*t - 468. Calculate the lowest common multiple of m and t.
156
Let n(c) = -4*c**3 - c**2 + c + 2. Let b(i) = -i**2 + 36*i + 881. What is the lowest common multiple of n(-1) and b(-13)?
244
Let c = -13150227/8445010 - -2/120643. What is the common denominator of c and -187/60?
420
Let t = 10388/9 + -1329451/1152. Find the common denominator of -73/384 and t.
384
Let g(m) = -352*m + 7436. Calculate the smallest common multiple of 2662 and g(21).
5324
Let d = -2052412333/11310 + 907344/5. What is the common denominator of -133/260 and d?
22620
Let z(n) = -n**2 + 23*n + 176. Let t(q) = -q**3 - 34*q**2 - 35*q - 41. Let i be t(-33). What is the least common multiple of 3 and z(i)?
126
Let a be 2427/(-180) + (19/4 - 5). Let u = a - -823/120. What is the common denominator of u and 77/12?
24
Calculate the common denominator of 55/1758 and 9/(2268/(-696)) - 2 - 1/6.
12306
Let q = 13381 + -9201. Calculate the least common multiple of 16 and q.
16720
Let l(b) = -b**2 - 5*b + 8. Let z be l(-6). Suppose 11 + 682 = -7*q. What is the common denominator of 2 - (q/(-16) - z) and -113/70?
560
Suppose t - 4 = 3. Calculate the common denominator of 4598/1440 + (-2768)/865 and (-349)/140 + t/49.
720
Let n(z) = 42*z**2 - 648*z + 9192. Calculate the smallest common multiple of 36 and n(14).
8352
Calculate the least common multiple of (46/(-3))/((-108)/4860) and 240.
5520
Suppose m = -2*x + 7*x + 19, -4*x - 4*m = 20. Let w be ((-144)/27)/(x/(-66)). Calculate the common denominator of ((-23)/(-9))/(w/(-24)) and 67/30.
330
Let p = -78 + 86. Suppose 187*z = 191*z - p. Calculate the smallest common multiple of z and 6.
6
Let i = 6967 - 6241. Calculate the least common multiple of i and 198.
2178
Let o be (-108)/(-36)*(2 + (-10)/(-3)). What is the common denominator of 10/14*(-11)/(-2) and (2 - 198/o) + 21/(-42)?
56
Calculate the common denominator of (-5)/(-4)*(184/(-45) + (-44)/(-198)) and 121/36.
36
Suppose 4*i = -3*c + 940, 10*c = i + i + 3072. What is the smallest common multiple of 99 and c?
2772
Let n = -5/9334 - 358229/2109484. Calculate the common denominator of n and -65/12.
1356
What is the common denominator of -23 + 19 + (-63342)/(-16380) and 5/1638?
8190
Let b = 22123 - 486625/22. Find the common denominator of (-2155)/1344 + (-1233)/(-959) and b.
2112
Let x = -5448 + 54417/10. Find the common denominator of x and ((-238)/(-60))/((-2424)/(-1515)).
240
Let t(z) = 25*z**3 + 2*z**2 - 5*z + 2. Let d be t(2). Let c = -182 + d. Calculate the least common multiple of c and 28.
252
Find the common denominator of 6 - (24867/(-2808))/(9/(-4)) and -163/1932.
25116
Let f = -391 - -403. Calculate the least common multiple of f and 804.
804
Suppose -75 = -3*n + 63. Suppose -28 = -n*r + 32*r. What is the lowest common multiple of 10 and r?
10
Suppose 0*q - 3*q = -60. Let v(m) = 45*m + 192. Let w be v(-4). Suppose 0 = 3*c + 5*f - 55, 4*f + w = -3*c + 68. What is the lowest common multiple of c and q?
20
Let v be 516758/327100*(-2)/3. Let k = 6266025728/16355 - 383126. Let u = k + v. Calculate the common denominator of -34/9 and u.
225
Let y be (-30)/(9/(-8)*(-4)/3). What is the common denominator of -11/8 and (2/80)/(y/4150)?
16
Suppose -98*n + 1840 + 200 = -90*n. Calculate the least common multiple of 17 and n.
255
Let y = -160 + 332. Let d = 47 + y. Calculate the common denominator of ((-3)/(-63)*d)/2 and 59/14.
14
Let j be -3 - (407516/8 + 4). Let u = j - -312048/7. Let t = u - -6371. Calculate the common denominator of t and -13/8.
56
Suppose -4*j + 4501 = 4*t - 8727, -4*j - 13260 = -4*t. Calculate the lowest common multiple of t and 1505.
16555
Let k be 2/12 - 44/(-24). Suppose 15*o = -k + 137. Calculate the lowest common multiple of o and 2.
18
Suppose -4*k + 10*k = -462. Let h = -75 - k. What is the lowest common multiple of (2 - (1 + h))*21/(-3) and 4?
28
Calculate the smallest common multiple of 174 and (-99)/55*10/(-3).
174
Let x be (10 - 11) + 1 + -75589435. Let o = x + 2493564745/33. Let j = o - -26865. Find the common denominator of -7/30 and j.
330
Let x = -2/180131 + 11029/51466. Calculate the common denominator of x and (6/11)/((-8)/(-58)).
154
Suppose -2*t - 6*z = -3*z - 113, -54 = -t + z. What is the lowest common multiple of t and 11?
55
Let d = 1082 + -13081/12. Find the common denominator of d and (-11011)/1188 + (8 - 0).
108
Suppose -4*a = g - 6408, 0 = -3*a + a - 10. Calculate the smallest common multiple of g and 8.
12856
Let a be (-32554)/123*3/(-112). Let o = -71/8 + a. What is the common denominator of o and 20/27*(-30)/16?
126
Suppose -5*s - 5 = 4*g + 1, 3*s + 8 = 2*g. Calculate the common denominator of 40/(-48)*12/15 - 77/36 and 92/(-6) - (2 - g).
36
Suppose -5*k - 5 = 5*h, -3*h + 132 - 156 = -4*k. Calculate the lowest common multiple of 356 and k.
1068
Suppose 0 = 33*a - 97 - 35. Suppose a*s = -5*o + 308, -o - 336 = -4*s + o. What is the smallest common multiple of 20 and s?
820
Find the common denominator of ((-3164)/(-210))/((-1016)/40 - -3) and -11/98.
1176
What is the smallest common multiple of 825 and -1 - (0 + (2 - 13))?
1650
Let v = 13234786/202311 + -7719/118. What is the common denominator of -14/3 and v?
6858
Let s(v) = 2*v**2 + 15*v + 33. Let c be s(-4). What is the common denominator of -87/10 and (-10)/(-35) - c*(-57)/(-882)?
1470
Let o = 389 - 386. Suppose s = -o*q + 355, -s - 114 = -q - 1. What is the least common multiple of q and 117?
117
Let p = -4001 + 4173. What is the lowest common multiple of 20 and p?
860
Let j = -1732 - -3309. Suppose -7*n + 663 = -j. What is the least common multiple of 6 and n?
960
Let f be (22/140)/((-3378)/1912). Let l = 9/1126 + f. Find the common denominator of -77/4 and l.
420
Let q = 44089/21380 + -13/1069. What is the common denominator of q and 31/1856?
9280
Calculate the lowest common multiple of 1080 and (11 - -13)/((-14)/(-105))*5/2.
5400
What is the common denominator of (978/840 - 24/20)/((-10)/556) and 49/145?
2030
Suppose -14 = 4*j - 4*z + 26, -5*j + 3*z = 60. Calculate the common denominator of 628/340 - 3 - 2/j and -68/9.
153
Find the common denominator of -13/37 and 1535/(-200) - 36/(-4).
1480
Find the common denominator of 555/1850 + (-6319)/330 + 18 and 2/(-4)*(-34)/15.
165
Let g = 6 + 8. Let c = 105 - 85. What is the smallest common multiple of g and (-5)/c - (-434)/8?
378
Let i = -7 + 7. Suppose y + i*y = -4, -5*p + 5*y = -40. Suppose 2*z = p, -3*z + 47 = 3*w + 11. What is the smallest common multiple of 16 and w?
80
Let z(d) = -13*d + 140. Calculate the least common multiple of 368 and z(8).
3312
Let f(p) = -12*p - 48. Let t be f(-18). What is the smallest common multiple of 2 and 24/(-21)*t/(-16)?
12
Calculate the common denominator of -53/24 and ((-10)/24)/((-237)/75 + 3/(-5)).
1128
Let v be (2736097/(-28) - 8)*1/13185. Let q = -7/1465 + v. Find the common denominator of q and 65/18.
36
Suppose -94 = -m - 244*i + 249*i, -4*m + 401 = 5*i. What is the lowest common multiple of 333 and m?
3663
Let m = 520 + -503. Suppose 60 = m*n - 5*n. What is the least common multiple of 97 and n?
485
Find the common denominator of 71/1436 and 740/5744 + 20/(-240).
4308
Suppose -4*q = 5*w - 944, 4*q - 3*q = 3*w - 