Let y be 8/(-20) + (-192)/20. Let d = t - y. What is the least common multiple of 8 and d?
88
Let a = -846 + 653. Find the common denominator of ((-186)/16*2)/((-1544)/a) and -21/128.
128
What is the common denominator of ((-94)/60 - (-45)/27)/((-9)/426) and -64/51?
255
Let z = -83651/24 + 13965/4. Find the common denominator of z and 19/516.
1032
Let j(q) = -q**3 - 6*q**2 + 6*q + 18. Suppose 3*b = -0*b + 261. Suppose -9*g + 15 = b. What is the smallest common multiple of j(g) and 4?
196
Let h = 319/6 - 53. What is the common denominator of h and ((-24)/(-272))/((-6)/8) - 75795/336753?
426
Let y = 16/361 + 11801/2527. Calculate the common denominator of ((-38)/(-220))/((-4)/(-8)) and y.
385
Suppose -8*q + 11392 = 8896. Calculate the lowest common multiple of q and 728.
2184
Let u = -9 + 12. Let t = u - -11. Suppose t + 43 = 3*s. What is the lowest common multiple of s and 1?
19
Suppose 44*y - 23298 = 33*y. Calculate the least common multiple of y and 9.
6354
Suppose -3*c - 2*v = -383, -3*c + 4*v + 447 - 88 = 0. Suppose 4*q - 3*p + c = 6*q, -q - 3*p = -61. What is the smallest common multiple of 40 and q?
320
Let s(r) = 8*r**2 - 43*r - 3. What is the least common multiple of 56 and s(7)?
616
Let f(a) = 130*a**2 + 2. Calculate the lowest common multiple of 4 and f(-2).
1044
Let l = 48457529/913 - 53075. Calculate the common denominator of l and -37/581.
6391
Let i = -905539/45 - -20121. Let w = 41/267 - 3603/1246. Find the common denominator of i and w.
630
Calculate the common denominator of ((-10)/7)/(864/798) and ((-1)/(4/6))/((-1200)/(-125)).
288
Let w(h) = -h**3 - 2*h**2 + 8*h + 3. Suppose -808 = -28*r - 724. Calculate the least common multiple of w(-6) and r.
99
Let v be -1 + 2 - (6283242/(-303820))/(-7). Let x = v + -1/6905. Calculate the common denominator of -1 + (-141)/18 + 3 and x.
66
Suppose 0 = -0*i + 4*i - 80. Let d = 850 + -806. What is the least common multiple of d and i?
220
Let m = 13177 + -13166. Calculate the lowest common multiple of 3851 and m.
42361
Calculate the smallest common multiple of 1010 and 0 + 26 + (-1 - (4 - 1)).
11110
Suppose 0 = 12*v + 1 - 13. Let w be (v/(1/4))/(2/20). Calculate the common denominator of 62/21 and 944/24*(-2)/w.
210
Let v = 29489 + -29438. What is the smallest common multiple of v and 1803?
30651
Let j be ((-1)/(-1))/((-1358)/205688). Let q = j - -151. Calculate the common denominator of q and 43/7.
679
Let h = 76 - 88. Let s be ((-52)/h + -4)*6. Suppose -s*m + 15 = -27. What is the lowest common multiple of 30 and m?
210
What is the common denominator of (6/40)/((-13)/1092) and 3*(-1)/20*(-301)/(-21)?
20
Suppose 3*x + 0*x - 95 = 5*p, 0 = -4*p - x - 59. Let h = p - -26. Calculate the least common multiple of ((-4)/(-4))/(6/120) and h.
20
Suppose -10*s + 3*s = -784. Let g be 12/(-8) - 207/(-2). Suppose -s + g = -p. Calculate the lowest common multiple of p and 11.
110
Suppose -3*o - 3*s = -15, -2*o = -5*s + 2*s + 5. Suppose -3*f - 5*c = -15, -13 = 2*f + 3*c - 24. Calculate the lowest common multiple of f and (-2 - 12/(-2))*o.
40
Suppose 2*f - 7 = -3. Suppose 64 = 6*o - f*o. Suppose 0 = 3*t, 30 = 5*g - t - 40. What is the smallest common multiple of g and o?
112
Let j = 24176 + -145037/6. Find the common denominator of j and -125/1272.
1272
Let r be (-132)/(-11) + 4/1. Suppose 0 = -0*k + r*k - 64. Calculate the lowest common multiple of (-162)/(-8) + 3/(-12) and k.
20
What is the common denominator of 48/135 - 300/270 and 49/90?
90
Let d = 485102 + -1981641681/4085. What is the common denominator of 113/258 and d?
24510
Let y = 381 + -6484/17. Suppose d - 190 = 4*s, 2*d + d = 2*s + 100. Let t = s + 79. Find the common denominator of y and t.
17
Let z = 12201365/2292 - 15970/3. What is the common denominator of 89/28 and z?
5348
Suppose -29*s = -34*s + 2*b + 407, 5*s = -5*b + 435. Let a = s + 159. What is the lowest common multiple of 12 and a?
1452
What is the common denominator of 43/8 and (326/332 - 1)/(4/(-5))?
664
Let c be (-89142)/(-45) + (-2)/(-3). Let s = -1969 + c. Let b = 1753 + -22755/13. What is the common denominator of s and b?
65
What is the common denominator of -163/924 and 132/216*3*(-28)/48?
5544
Let f be 5/60*4*-21. Find the common denominator of (f + -118)*(15/36)/(-5) and -119/20.
60
Suppose 0 = -45*i + 221 + 94. Let d(r) = 3*r + 0 - 1 + 3*r. Calculate the least common multiple of i and d(2).
77
Let i = -41381/72908 - 1/1657. Find the common denominator of (-411)/4*(-2)/(-1296)*4 and i.
2376
Let o(c) = 3*c**3 + 4*c**2 + 90*c - 397. What is the lowest common multiple of 219 and o(4)?
219
Let p = -81875/70616 - -111/97. What is the common denominator of 17/52 and p?
728
Let t = -4 + -12. Let h = t - -49. What is the least common multiple of h and -5*((-3)/(-9) + 246/(-90))?
132
Let y(z) = -z**2 + 10. Calculate the lowest common multiple of (-261)/174 + 5/4 - (-418)/8 and y(0).
260
Let d be 23/92 - 235/(-52). Let v = -461/26 - d. Find the common denominator of (-9)/(-6)*(-118)/6 and v.
2
Suppose -795 = -5*l + 5*f, 5*l - 425 = -5*f + 360. Let x = 258 - l. Suppose b - 3*w - 7 = 0, 2*b + w + 4*w = 3. Calculate the least common multiple of x and b.
100
Let u = -106382 + 61063245/574. Find the common denominator of -53/738 and u.
5166
Let r = -14129/2760 + 179/69. Find the common denominator of r and 6*(-3)/(-45) - (-1131)/60.
40
Let v = -127 - -237. Calculate the lowest common multiple of (-66)/v - (-11)/((-165)/(-54)) and 111.
111
Let g(j) = j**2 - 29*j - 152. What is the lowest common multiple of 346 and g(34)?
3114
What is the common denominator of 61/30 and (-11 - 132/(-63)) + 13?
210
Let m = 197568413/338 + -25453160357345/43545216. Let u = -2/1010165 - -19201583/4266936960. Let b = m - u. What is the common denominator of b and -55/6?
366
Suppose -3515 + 7730 = 26*r - 14401. Calculate the least common multiple of r and 2.
716
What is the common denominator of 76/(-33)*(-6)/(-20) and -57/4?
220
Suppose 4*j - 14 = -2*l, -2*l + 3*j = l + 15. Let g be (-6676)/84 - l/3. Let k = g + 2616/35. What is the common denominator of k and 37/13?
65
Let c = 199389 - 190416472/955. Find the common denominator of c and 44/2483.
12415
Let x(v) = -v + 41. Let f be x(12). Suppose t = 4*t + 3*p - 75, 2*t - 5*p = f. What is the common denominator of -61/8 and t/77*(-6)/8?
56
Suppose -592565 = -136*f - 6269. What is the least common multiple of f and 27?
12933
Suppose -d - o - 40 = 0, -34 = -d + 2*d - 2*o. Suppose -2*j = 5*t - 0*j, -3*j - 23 = -4*t. What is the common denominator of t/(-4) + (-21 + -4 - -8) and d?
2
Suppose 0 = -q - 26 + 86. Let c be 4/(-1) + (-153714)/q. Let m = -2554 - c. Find the common denominator of -89/16 and m.
80
Suppose 5611 = 2*r + 3*w - 16330, 2*r + 17*w - 21871 = 0. Calculate the least common multiple of 20 and r.
109780
Let a = -38749 - -3409965/88. Let r = -9435 + 528365/56. Find the common denominator of r and a.
616
Let y = -2 + 4. Let t be -4*((-160)/100)/((-2)/(-5)). Suppose -y*d - t = -6*d. What is the least common multiple of d and 5?
20
Let y be 28/2 + (-1 - -2). Suppose -2*i - 4*o + 8 = 0, 3*o = 8*o + 15. Calculate the common denominator of 257/i - 3/y and 65/18.
18
Let p = -719 - -755. Let m(n) = -n**2 + 36*n - 64. What is the least common multiple of p and m(34)?
36
Let i(f) = 4*f**2 + 135*f + 123. What is the lowest common multiple of 4044 and i(-33)?
8088
Let y(s) = -23*s**3 - 6*s**2 - 8*s + 22. Let v be y(-4). Calculate the common denominator of -5/24 and v/(-65) + ((-2)/3)/(-2).
24
Suppose -1849 = -4*z - z + 3*a, -4*z + 1487 = -5*a. Suppose 166 + z = 6*b. What is the smallest common multiple of 2 and b?
178
Suppose -43*g = 413 - 757. What is the least common multiple of g and (-79)/(-3) + (-4)/(-6)?
216
Let w(i) = 255*i**2 + 472*i - 80. What is the smallest common multiple of w(8) and 3?
20016
Suppose 0 = -14*o + 5*o + 1395. Suppose -o - 1 = -39*w. Calculate the smallest common multiple of 23 and w.
92
Calculate the common denominator of 109/660 and ((-21543)/1980 - -3) + 2 - 822/(-137).
660
Let g(p) = 2*p**2 - 14*p + 144. What is the smallest common multiple of 1920 and g(24)?
1920
Let m(q) = 10 - q**3 - q - 20*q - 10*q**2 + 2 + 22*q**2. Let n be m(10). Suppose 0 = -3*r, -b + 19 = 3*r - n. What is the least common multiple of 3 and b?
21
Let y = 