15.
120
Let b be (-1 + (-1)/(-4))/((-20)/400). Suppose -b = 12*t - 17*t. Calculate the common denominator of 47/22 and (t - 2)*73/(-2).
22
Suppose -32 = -18*o + 2*o. Suppose -3*t + a + 1 = -9, 0 = 2*t - 4*a. Calculate the least common multiple of o and (-158)/(-4) + 2/t.
40
Let y(n) = 85*n + 15. Calculate the smallest common multiple of y(1) and 88.
2200
Suppose -2*i + 9 = -3*l, -5*i - l = 17 + 3. Let k be i + 7 - 12592/3147. Let c = k - 292591/62940. Find the common denominator of -85/4 and c.
20
Let n = -99/37 - 355/296. Calculate the common denominator of n and 30/19.
152
Let d be 60/(-200) - 3408943/420. Let q = -56838/7 - d. What is the common denominator of q and -73/36?
180
Suppose -657 = -123*t + 126*t. Let l = t + 271. What is the lowest common multiple of l and 22?
572
Suppose -54 = -2*l - 22*c + 24*c, 5*l - c = 127. Suppose -2*q = 0, -5*m - l*q + 26*q = -130. What is the least common multiple of 3 and m?
78
Let d be 702/(-12)*64/(-4). What is the common denominator of 109/22 and 2/((-256)/d) - -9?
176
Suppose -i + 118 + 22 = 3*z, 0 = -5*i + 25. Suppose -z = -3*o + 96. Let a = 48 + -45. What is the smallest common multiple of a and o?
141
Calculate the common denominator of 5/144 and 61/(-160) - (30 + -26) - (-16 + 12).
1440
Let f = -367 - -307. Find the common denominator of 1340/f*(-2)/(-4) and -2 + (82/10 - -1).
30
What is the common denominator of 43/147 and 159/(-9)*(-20)/(-28)*(-3)/15?
147
Calculate the common denominator of 97/10 and (2/4*-2 - -2)/(66374/4235).
4310
Suppose -5*f - 4*u + 70 = 0, -2*f - 45 = -5*f - 3*u. Calculate the least common multiple of (9/15)/(f*(-9)/(-150)) and 6.
6
Calculate the common denominator of 89/6 and (-6 - 4529/(-756))/(2/62).
108
Let l = -27 + 81. Let w = l - 54. Suppose -2*o + 3*a - 5 = -w*a, 0 = 5*o + 2*a - 16. What is the smallest common multiple of 12 and o?
12
Let b = -444 + 492. What is the lowest common multiple of 156 and b?
624
Suppose 3*k + 16 = 7, i - 3*k - 12 = 0. Calculate the smallest common multiple of i and 7.
21
Let g(u) = u**2 + u + 4. Let c be g(-4). Let n = c - 1. Suppose 329*h + 166*h = 127*h + 10672. Find the common denominator of n and h.
1
Calculate the common denominator of 0 + (-4)/(192/(-580)) and 9 - 18/6 - 599/84.
84
Suppose 3*g - 4*t = 164, 4*g + 2*t = 334 - 86. Let x be g*(-2 + 20) - 0. Find the common denominator of (-9)/(x/266) + (-1)/5 and 91/18.
36
Suppose -32*c - 5475 = -7*c. Let t = -208 - c. Calculate the lowest common multiple of 25 and t.
275
Let q(c) = -2*c**2 - 286*c - 4234. Calculate the least common multiple of q(-17) and 3900.
3900
Suppose 3*t + 2*c - 19 = 0, 4*c - 23 = -8*t + 5*t. Suppose -3*s = -t - 25. Calculate the lowest common multiple of s and 110.
110
Let j(g) = 5*g**2 - 166*g - 1879. What is the lowest common multiple of j(57) and 20?
24520
Let l = -109/52 + 11329/5876. Calculate the common denominator of l and (-238)/68 + 387/66.
1243
Suppose 137 - 572 = -3*k. Suppose 0 = 2*m + 3*m - 2*v - 140, 0 = -4*m - 5*v + k. What is the common denominator of 1 + (0 - 1) + 219/m and 103/14?
70
Let b = 11460/97 + -5311135/45008. Find the common denominator of 71/116 and b.
464
What is the common denominator of -3/4211 and -6 - ((-2233)/88 + 13)?
33688
Let s(d) = -3*d**2 + 50*d - 14. Let l be s(16). Calculate the common denominator of 13/22 and (-4 - 21/(-6))*46/l.
198
Let v be (3/(-6))/((-1)/62). Suppose 0 = -3*a + 5*n - v, 0 + 15 = -5*a + n. Find the common denominator of (a + -1)*381/162 and 47/16.
144
Let i be 19/(-76)*0/(-2). Suppose i = 5*c - 4 - 11. Suppose -2*t = r - 10, c*r + t = -r + 12. Calculate the lowest common multiple of r and 106.
106
Let j be 2/(-6)*(0 + (-11 - -8)). Calculate the common denominator of (-1261)/286 + 4/j and -37/99.
198
Suppose -3*t = t - 2*d + 4, 0 = -t + 2*d - 1. Find the common denominator of ((-371)/42 + t)*-2 and -40/27.
27
Let p = 7089/28 + -7847831/30996. Calculate the common denominator of 119/1230 and p.
11070
Suppose -b = -2*c - 1257, 5*b + 283 + 340 = -c. Calculate the common denominator of 36/5 and 30/(-75) + c/(-1320).
330
Let t = 1560799/1337364 - 2460/1769. Find the common denominator of -109/120 and t.
7560
What is the common denominator of -91/50 and 12/10 - (-47 - (-2009766)/41745)?
12650
What is the common denominator of 33/19022 and 187/3740*((-589)/12 - (-1)/3)?
152176
Let l = -315 - -336. Suppose -18*c = 5*r - l*c - 150, 3*c - 120 = -4*r. Calculate the least common multiple of r and 110.
330
Let h(o) = -27*o**2 - 14*o - 30. Let b be h(-4). Find the common denominator of (-32)/(-112) - 3*(-97)/b and 11/20 + (-6)/(-15).
580
What is the least common multiple of 340 and -3 + (-6015)/(-25) + (6 - (-56)/(-10))?
2380
Calculate the common denominator of 188/(-329) + (-6483)/(-7560) and -97/520.
4680
Let a = 135/106 + -6719/2862. Calculate the common denominator of a and (4/5)/((-6)/(-41)).
135
Let r = -35557/396 - -803/9. Let v = 1049/220 + r. What is the common denominator of 53/50 and v?
50
Suppose 0 = 6*y - 3*y - 42. Let z be 3456/56 + 4/y. Let v = z + -681/11. Find the common denominator of v and 26/11.
11
Let p = -172205/104 - -1656. Let d = p - 2237/1144. Calculate the common denominator of -39/22 and d.
22
Find the common denominator of (-69)/92*249/(-24) - 7 and 53/524.
4192
Calculate the common denominator of (1 - 109/12)*(-1146)/(-4011) and -115/72.
504
Let t be (-3)/(-3)*(8 - -101). Calculate the common denominator of 2 + -3 + (-178)/28 and -2 - 20/(-8) - t/16.
112
Let i = 2960150/103 - 28739. Let u = 867387470/3399 + -5614705/22. Let w = i - u. Find the common denominator of 59/46 and w.
138
Calculate the common denominator of ((-3420935)/(-7020))/49 - 10 and -137/162.
4212
Let c(v) = 2*v**2 + 9*v**2 + 27 - v - v**3 + 2*v**2. Suppose -2*m + 26 = -k, 21 = m - 2*k + 8. Calculate the lowest common multiple of c(m) and 50.
350
Suppose 11466 = 6*p + 3*p. Let h = -6349/5 + p. What is the common denominator of 61*(5/(-8))/(-5) and h?
40
Suppose -2*x + 61 = -4*z + 9*z, 0 = -5*z + 5*x + 40. What is the common denominator of -4 + (40/(-27) - (-55)/z) and 139/54?
54
Suppose 2*i + 3*i - 191 = 3*u, 4*u = -i + 29. Let v = i - 28. Suppose 0 = -5*g - 4*g + v. What is the smallest common multiple of 10 and g?
10
Calculate the common denominator of 71/6 and 9/120*(-16195)/(-8487).
552
Let p(k) = -k**3 - 2*k**2 + 2*k + 2. Suppose 4*g = 69 - 45. Suppose -102 = -12*a + g. What is the smallest common multiple of a and p(-3)?
45
Suppose 935 = 73*i - 68*i. Let q = -165 + i. What is the lowest common multiple of 244 and q?
2684
Let l = -52350/12019 - -417/101. Let k = 83604/13 + -14213863/2210. What is the common denominator of l and k?
1190
Suppose 3*o - 6 = 2*b, -15 = -3*b - 6. Suppose 2*p - u + 2*u - 364 = 0, 0 = -u + o. Suppose 8*k = -10*k + p. Calculate the smallest common multiple of k and 9.
90
Let s(g) = g**2 + 5*g + 1. Let p be s(-5). Let j = -161959 + 1295647/8. Find the common denominator of j and (71/(-22) + p)*-2.
88
Suppose -5*q = -2*g - g + 29, -5*q - 26 = -2*g. Let o(d) = 1 - 58*d**2 + 23*d - 60*d**2 + d**g + 105*d**2. Calculate the least common multiple of o(11) and 162.
324
Let w = -8421/143 - -762/13. Find the common denominator of -3/121 and w.
121
Let o = -41415 - -8904174/215. What is the common denominator of o and -38/1505?
1505
Let c = -3567 - -124772/35. Find the common denominator of c and (-9)/(-108)*-406 + 16.
210
Let o be (0 + -6 + 771)*(-4)/(-10). Calculate the common denominator of o/(-56) + (-90)/72 and 65/3.
21
Let a = -10296 - -586916/57. Let q = 3985/228 + a. Let c = -22541/3627 + -3/403. Calculate the common denominator of q and c.
36
Let v be 8*1*11/22. Let w be (0 - -8*v)*(-5)/10. Find the common denominator of -113/6 and (-4)/w*24/5.
30
Let a = -392 - -180. What is the lowest common multiple of (a/(-954))/(((-4)/2)/(-18)) and 94?
94
Suppose -4*d + 85 = -331. What is the smallest common multiple of 1612 and d?
3224
Let q = 36 - 11. What is the lowest common multiple of q and (6/(-5))/(6/15) + 13?
50
Suppose 5*p - 16769 - 25356 = -2*t, -25294 = -3*p - 5*t. Calculate the lowest common multiple of 8 and p.
67384
Let d(y) = -5*y - 73. Let i be d(-15). What is the common denominator of 29/(-6)*i*(-4)/(-12) and -12?
9
Suppose -2*y = 3*x - 32, 3*x + y - 31 = -0*y. Calculate the commo