434
Let r be 1165658/(-64) - (-11)/(-22). Let o = -18211 - r. What is the common denominator of o and -4 - 4/(64/(-124))?
32
Let k = 2483/4 - 607. Find the common denominator of k and (279/(-540))/((-2)/9).
40
Calculate the common denominator of 5/223 and ((-276)/600)/((-5)/25).
2230
Let q = 495 - 262. Suppose 2*m + 107 + 187 = -4*g, -3*g - 4*m = q. Let l = -51 - g. Calculate the lowest common multiple of 8 and l.
40
Let m = -8/4051 + 27322/1527227. What is the common denominator of -75/8 and m?
3016
Let p be 6/15 - (-133436)/360. Let f = p + -374. Calculate the common denominator of f and 113/48.
144
Suppose 9 + 24 = 11*y. Suppose 22*n - 21*n = 5*d + 29, -5*n + 117 = y*d. Calculate the least common multiple of 56 and n.
168
Let b = -55391/12 + 4607. What is the common denominator of b and 73/930?
1860
Let j = -3 + 6. Let n(w) be the first derivative of w**4/4 - 2*w**3/3 + 2*w**2 + 3*w + 90. What is the lowest common multiple of n(j) and 15?
120
Suppose 406 = 56*v - 602. What is the smallest common multiple of 477 and v?
954
Let z be ((-7350)/24 - 2)*(-566)/(-258). Let b = 279/43 + z. Let p = b + 657. Find the common denominator of p and 27/20.
20
Suppose 42*x - 11027 = 19633. Calculate the smallest common multiple of 730 and x.
730
Let l = 407 - 157. What is the smallest common multiple of 30 and l?
750
Let d = -560593093/376 - -1490940. Let a = d - 14/47. Calculate the common denominator of -65/106 and a.
424
Let k = -1056136951/2630 + 401573. Calculate the common denominator of 69/55 and k.
28930
Let o = 58 + -93. Let w be (o/7)/(-45)*7108/(-1). Let r = w - -796. Find the common denominator of r and -44/3.
9
Let j(s) = -s + 34. Let i be j(8). Suppose 0 = i*p + 32 - 396. Let f(w) = 2*w**3 + w**2 - 2*w + 1. Calculate the least common multiple of p and f(1).
14
Suppose 0 = -58*z + 186*z - 4224. What is the lowest common multiple of 720 and z?
7920
Let x = -1/19 + 985/304. Calculate the common denominator of (-3 - 1) + 3 + (-502)/(-468) and x.
1872
Suppose 8 = -3*k - w, -2*k = -w + 2*w + 5. Calculate the smallest common multiple of 234 and ((-18)/12)/(k/12).
234
Suppose -7*a = -22*a + 345. Calculate the lowest common multiple of 9 and ((a/(-3))/(-1))/(2/6).
207
Let a(i) = 169*i - 168. Let n be a(-42). Let u = 101615/14 + n. What is the common denominator of u and 87/28?
28
Let k = -14 - -14. Suppose -3*p + 4*p - 241 = k. Let g = p + -505/2. Calculate the common denominator of g and 63/8.
8
Suppose 25 = -3*y + 1. Let k be (-80)/y*(-52332)/(-15). Let j = -1534981/44 + k. Calculate the common denominator of -125/6 and j.
132
Let k be (-4 + 3)/(1/7). What is the common denominator of 15/16 and (-799)/102 + k/3?
48
What is the least common multiple of 15/((-7456)/(-320) - 23) and -1*-3*(1 - -2)?
450
Let u = 14926129/630 + -47385/2. Calculate the common denominator of 145/126 and u.
630
Find the common denominator of -51/1150 and -11 + (-560)/(-50) + (-676)/920.
1150
Suppose 4*k + 2*o = -0*k - 30, 25 = -3*k - 4*o. Let h(n) = -3*n - 7. Calculate the smallest common multiple of h(k) and 6.
42
Find the common denominator of -97/10 and 1/(-4020)*(-1683)/22 + (-1)/8.
670
Suppose h - q + 7 = 8, -5*q = 2*h - 2. What is the common denominator of -35/8 and h + 0 + 84/1134?
216
Let k = -11560 - -450778/39. Calculate the common denominator of k and (-157)/(-1296) + 102*(-53)/(-28832).
1053
Let n(y) = -y**3 + 11*y**2 - 16*y - 2. Let q be n(9). Let g(h) = h**3 - 17*h**2 + 21*h - 68. What is the lowest common multiple of 68 and g(q)?
204
Suppose -1644 = -17*w + 49832. Let t = w - 21149/7. What is the common denominator of -16/9 and t?
63
Let w = -370 - -406. Suppose 0 = 12*x - w - 12. Calculate the smallest common multiple of x and 11.
44
Suppose -4*j - 26 = -2*j. Let b be (-787)/(-2)*(j - -15). Let g = 6231/8 - b. Calculate the common denominator of 23/5 and g.
40
Suppose -49*l = -76*l + 50*l - 33948. Calculate the smallest common multiple of l and 8.
2952
Let t = 54 - 13. Let p = t - 32. Suppose -3*m = -9 - p. What is the lowest common multiple of m and 1?
6
Let v be (4/(1 + 3) - -2) + 3. Suppose 0 = -5*s - 2 + 17. Suppose s*k - 3 = v. Calculate the lowest common multiple of k and 34.
102
Let q = 2129861/147 - 14489. Find the common denominator of q and 17/588.
588
Let t = 250 + -304. What is the common denominator of (-41 - -36) + 313/t*-1 and 115/42?
378
Let x be 6389313/56*(-12)/945. Let t = x + 10170/7. What is the common denominator of t and ((-17)/12*10)/(-6)?
180
Suppose 24 = -447*b + 471*b. What is the lowest common multiple of b and 93?
93
Let k = -34/61 - -1377/610. Calculate the common denominator of k and 47/10782.
53910
Let u = 4 + 7. Let n(m) = m + 11. Let c = 45 - 40. Calculate the least common multiple of u and n(c).
176
Calculate the common denominator of ((-438)/36)/(1771/(-21)) and 55/2.
506
Let g = -1517 + 866. Let v = 11836/9 + -1308. What is the common denominator of (-62)/g - 516/(-21) and v?
9
Let r = 843 - 590. Suppose 265*g = r*g + 828. What is the least common multiple of g and 7?
483
Let r(z) = 12*z - 2. Let y be 0 - 3*(-8)/12. Let c be 1/y - (-72)/48. Calculate the smallest common multiple of 14 and r(c).
154
Let x = 1855567/54 - 34364. Find the common denominator of -37/192 and x.
1728
Let c(q) = -q**3 - 28*q**2 - 152*q + 7. What is the smallest common multiple of 80 and c(-5)?
960
Suppose -12*j + 2*j = -2*j - 1344. What is the lowest common multiple of 252 and j?
504
Suppose -4*n - s = -0*n - 609, 4*s = n - 148. Let i be (-283)/(-19) + 16/n. Suppose 3 = -a + i. What is the least common multiple of 14 and a?
84
Suppose -230*j + 225*j + 290 = 0. Calculate the common denominator of 879/(-486) - (-87)/j and 68/45.
405
Let q(t) = 60*t + 185. Let c be q(-3). Suppose c*j = l + 71, -5*l = j - 5*j + 61. Calculate the lowest common multiple of 126 and j.
126
Let a = -5833/1590 + -58/159. What is the common denominator of 73/60 and a?
60
Let s be (-7594)/12 + (7 - (-60)/(-9)). Let w = 56939/90 + s. Calculate the common denominator of 53/15 and w.
45
Let k = -9/1066 + 53597/35178. What is the common denominator of 73/2925 and k?
32175
Let j = 8 - 3. Suppose -j*b + w = -w - 18, 0 = 4*b + 4*w - 20. Calculate the lowest common multiple of (-270)/(-40) - 3/12*-1 and b.
28
Suppose -3*q - 212670 - 78666 = -3*t, 2*t - 388452 = 4*q. Let p = q - -10682649/110. Find the common denominator of 37/60 and p.
660
Let m(h) = -29*h**3 + h**2 - h - 2. Calculate the least common multiple of 1207/142 - 4/8 and m(-2).
472
Find the common denominator of 81/2 and ((-13)/910*14)/(3904/5).
3904
Let p = 27 - -153. Calculate the least common multiple of p and 1224.
6120
Let g(s) = -3*s - 147. What is the least common multiple of g(-55) and 340?
3060
Let u be (-1049)/7 - 16/(-196)*-7. Let x = u + 10691/70. Find the common denominator of x and 59/30.
30
Let z = -15195/112 - -4347/32. Calculate the common denominator of z and 107/168.
672
Let d(b) = -252*b + 436. Let n be d(2). Let k(h) = 10*h**3 + h**2 - h + 2. Let z be k(-2). Let r = n - z. What is the lowest common multiple of 4 and r?
4
Let o = -20595 + 20617. Calculate the lowest common multiple of 6108 and o.
67188
Let n(s) = s**3 + 28*s**2 + 67*s - 143. What is the lowest common multiple of 110 and n(-22)?
12870
Let u = -26904 - -1318336/49. Calculate the common denominator of u and -58/205.
10045
Find the common denominator of -7/9878 and 18001/(-3592) - (-12 + 7).
39512
Let t(u) = 845*u - 640. Calculate the least common multiple of t(8) and 42.
42840
Let y = -8211 - -8659. What is the smallest common multiple of 35 and y?
2240
Calculate the least common multiple of (-11500)/(-52) - 4 - 174/1131 and 11.
2387
Calculate the smallest common multiple of (2 + 8)/(-9 - (-5538)/612) and 380.
19380
Suppose 16*c - 83 = -31 + 44. What is the lowest common multiple of 2188 and c?
6564
Let n(v) = 5395*v + 21720. Let q(d) = -d**3 - 4*d**2 - 8*d + 6. Calculate the smallest common multiple of q(-6) and n(-4).
1260
Let v = -140509 + 2250273/16. Let c = v + -133. Calculate the common denominator of c and 77/158.
1264
Let u(i) = 17*i**2 - 12*i + 34. Let m be u(4). Calculate the common denominator of (-4)/(96/9) + m/288 and 145/12.
48
Let k(q) = -2*q + 17. Let t be k(6). Suppose -4*n = -t*n + 8. What is the smallest common multi