e -u + 97 = -6*n + 8*n, 0 = -5*n - 4*u + 238. Let x be 4/(-34) - (-5728)/136. Let i = x - 20. Calculate the lowest common multiple of n and i.
550
Suppose -19*c + 14 = -17*c. Suppose 4*t + c - 31 = 0. Suppose t*g - 2 = 5*g. Calculate the lowest common multiple of 9 and g.
18
Suppose 4*t = 4*c - 48, -5*c + 2*c = 4*t - 29. Suppose 2*o + 768 = 4*u - 8*u, 360 = -o + 4*u. Let i = o - -392. What is the smallest common multiple of i and c?
176
Suppose 3*v - 78*a = -75*a + 6, v = -a + 14. What is the smallest common multiple of 215 and v?
1720
Let u = 32475 - 30630. What is the lowest common multiple of u and 450?
18450
Suppose 0 = 3*y + w - 708, -y - 5*w = -194 - 42. Find the common denominator of -1*1 + (-276)/48 + 2 and -3 + y/228 + 1.
228
Suppose 11*j = 8*j - 5250. Let c = j - -28031/16. Let w = 314/25 + -3549/400. What is the common denominator of c and w?
16
Suppose t - 17643 = 4*i, 4*i - 2*t = 3*i - 4402. Let d = i + 39757/9. Find the common denominator of (22 + 3369/(-156))/(6/56) and d.
117
Suppose 3*z = 2*x - 44, -3*z + 3*x = -x + 40. Find the common denominator of 4/14 - (-3497)/182 and (-24)/30*-5 - 46/z.
8
Find the common denominator of (48*21/196)/(825/(-70)) and -29/45.
495
What is the common denominator of ((-27)/8)/(((-46746)/(-4))/(-21) + -9) and -47/286?
16588
Calculate the common denominator of 16/(-4) + 11 + (3 - (-80812)/(-8052)) and 83/24.
16104
Let m = -237841/67320 + 39/7480. Calculate the common denominator of (-162)/80 - -2 - 0 and m.
360
Let b = -40 - -44. Suppose j + 163 = 4*s - 4*j, -b*j = 3*s - 130. What is the common denominator of -3 + (2/(-4) - s/(-20)) and 1/23?
115
Calculate the smallest common multiple of 568 and (-9 - 200/(-24))/(4 + (-268)/66).
6248
Let z be (-4)/(-1*8)*26. Let a = z + -8. What is the least common multiple of (4 - 0 - (17 - (-22 - -36)))*1 and a?
5
Suppose -2*u - 4*h + 6 = 0, -h - 2*h + 10 = 2*u. Suppose u*b - 41 = 179. What is the lowest common multiple of b and 40?
40
Suppose 17*r = 310 - 72. Suppose -r*q + 20*q - 60 = 0. What is the lowest common multiple of q and 2?
10
Let q = 38 - 26. Let b = -178283 + 178287. What is the lowest common multiple of b and q?
12
Let x(o) = -o**2 + 3*o + 112. Suppose 103*s - 23 = 106*s + j, -8 = -2*j. What is the smallest common multiple of x(s) and 1186?
2372
What is the common denominator of (-4 - -8 - (-3)/198*-802) + 8 and (-1)/(-9)*23/11?
99
Suppose 21*h + 52954 = -8*h. Calculate the lowest common multiple of 44 and (-3)/((-21)/2) - h/77.
264
What is the common denominator of -17/240 and (-56)/352*(-26)/(-104)?
2640
Suppose 27*d + 297 = 28*d + 3*m, -1236 = -4*d + 4*m. What is the least common multiple of d and 12?
612
Let q = -207 + 207. Suppose q = w + 4*c - 18, -2*w - 4 = c - 3*c. Calculate the least common multiple of 20 and w.
20
Find the common denominator of 23/35 and (-714744)/75280 + 12 - 30/12.
32935
Suppose -62 = 8*l + 2. Calculate the common denominator of 71/20 and (-2)/l + 12/(-2768).
3460
Let f(j) = -165*j + 948. Let w be f(6). Suppose 0 = 3*v - m - 158, -v + 212 = 3*v - 2*m. Let u = w + v. Calculate the least common multiple of 5 and u.
10
Let r be (-4)/(-14) - 12155/525. Let p = r + 167/10. What is the common denominator of (-10281)/(-1380) - 4*2 and p?
60
Let n = -15796599819665/13156 - -1200714490. Let k = 1/1196 - n. Calculate the common denominator of ((-1 - (-12)/21) + -1)/((-584)/(-2628)) and k.
77
Let g = -891253/42 + 21223. Let v(x) = -x**3 - 26*x**2 - 57*x - 18. Let y be v(-24). Find the common denominator of g and 2717/y + -7 + (-2)/(-6).
126
Suppose -3*r = -2*c - 15, 5*r - 3*c = -6*c + 25. Calculate the lowest common multiple of (-2 - r/(-2))/(5/60) and 12.
12
Calculate the common denominator of (6/(-12))/((-141)/(-129) + 2) and 79/84.
1596
Let j be 143848/107868 - (-24)/(-18). Let u = j + 242671/143824. Calculate the common denominator of u and (2/30)/(4/138).
80
Find the common denominator of 67/12 and 2/(8/2)*(7 - 5934/846).
564
Calculate the common denominator of -5/2 and (-7 - 0) + (10 - (-890932)/(-296240)).
10580
Suppose 5*q - 30 = -10*q. Suppose 16*i = -q*i + 252. Let n = -26 - -46. Calculate the smallest common multiple of n and i.
140
Let o = -66999 + 840971449/12552. Let h = o + -12161/15690. Find the common denominator of -89/24 and h.
120
Let k = 4/75113 - 47471596/3380085. Let z = k - -155/18. What is the common denominator of 40/9 and z?
90
Let h = -4839221/184 - -26300. Find the common denominator of -41/1056 and h.
24288
Let p be 3051/21 - (-6)/(-21). Suppose 0 = v + 591 - p. Calculate the common denominator of v/48 + 2/(-6) and 59/6.
24
Let u = 99 + -57. What is the common denominator of (87/(-1242))/((u/18)/7) and 89/(-8)*1/2?
1104
Let j = -21531 - -21562. Let s = -2420076/5 + 485889. Let o = 1884 - s. Calculate the common denominator of j and o.
5
Let q(m) = 2*m + 133. Let r be q(30). Suppose 18*f - 23 = r. Let b = 15 - 7. Calculate the smallest common multiple of b and f.
24
What is the common denominator of -1 - -2 - 23/55 and (1491/378 + 1*-4)/((-25)/2595)?
330
Let c be ((-97)/(-24) - 4)*(-2324)/58. Let q = 22/87 + c. What is the common denominator of 41/280 and q?
840
Calculate the common denominator of (3/2)/(22675/900 - 25) and -15/197.
1379
Let p = 19/12 - -20/9. Let l = 483964 - 9679279/20. What is the common denominator of l and p?
180
Calculate the common denominator of 73/570 and (5/20)/((-160)/(-416)).
1140
Let k = 29773/4044 - 94/337. Let r = 390 - 10561/27. Calculate the common denominator of r and k.
108
What is the common denominator of -52/441 and ((-25327)/(-1032) + -30)/((-294)/4)?
1764
Let g = 13 - 10. Suppose -g*z = -9*z + 180. Calculate the common denominator of -93/14 and (-22)/55 - ((-1293)/z)/(-1).
14
Let r(x) = -x - 17. Let z be r(-9). What is the common denominator of (23/148)/(18/(-72)) and 2/z - 1464/(-352)?
407
Let w = -32 + 35. Find the common denominator of (w + 520/(-110))/((-11)/2) and -1/110.
1210
Suppose -75*d = -77*d + 12. Find the common denominator of 40/3 and (-154)/48 - -8*d/(-24).
24
Let w = 1/82902 + 2279797/663216. Calculate the common denominator of 2 - (2 - (-163)/(-210)) and w.
1680
Suppose 0 = 23*p - 20*p + 90. Let b = -24 - p. Suppose 0 = 10*u - 13*u + 27. Calculate the smallest common multiple of u and b.
18
Let d = 8 + -4. What is the common denominator of 6/(-84)*164/(-8) and (d/(-5))/(70/(-475))?
28
Let r = -25442 + 33710. What is the lowest common multiple of 12 and r?
8268
Suppose -3240 = -4*c + 4*f, 20*c - 3*f - 798 = 19*c. Calculate the smallest common multiple of c and 272.
816
Let d = 553 - 2197/4. Let r = -127944617147/1880 + 68055645. Let m = 89/47 + r. Find the common denominator of d and m.
40
Suppose k - 3 = 9. Let y(n) = 74*n - 1968. Calculate the lowest common multiple of k and y(27).
60
Let i = 3669/7 + -149309/287. Let a = -3/451 - i. Let r = 110152/19 + -5799. What is the common denominator of a and r?
209
Let a(p) = 2*p - 30. Let h be a(18). Let y be 1036/24 - 1/h. Suppose -44 = -2*d + 4*w, -4*d = -w - 31 - y. What is the least common multiple of 2 and d?
18
Suppose 3*y - 729 - 540 = -4*c, -2538 = -6*y + 4*c. Calculate the lowest common multiple of 11 and y.
4653
Suppose -4*s = -291 + 255. Suppose -51 = -20*z + s. Suppose -5*c - 3*y + 23 + 23 = 0, 5*c + y = 52. Calculate the least common multiple of z and c.
33
Let g = -1 + -2. Let l be -1 + 0 - ((151 - -1) + g). Find the common denominator of 2 + (-14)/(-8)*l/(-49) and -27/8.
56
What is the common denominator of 9/(-14040) - 20/50 and 101/1716?
3432
Find the common denominator of 42/(-49) - (-184)/64*(-124)/(-392) and 17/252.
7056
Let s = 59730 + -11468075/192. Calculate the common denominator of (-243)/(-440) + 24710/19415 and s.
960
Suppose -b = 4*k - 20298, -4*k + 20294 = -3*b + 2*b. Let u be (1 - (-5)/(-4))/((-90)/1829080). Let z = u - k. Calculate the common denominator of 19/6 and z.
18
Let i = 157087 - 22620403/144. What is the common denominator of i and 92/45?
720
Let m be 19/57 + (-488)/18. Let d = m + 364/9. Find the common denominator of d and 7/27.
27
Let p(b) be the first derivative of 2*b**3 + 7*b**2/2 - 7*b - 129. What is the lowest common multiple of 34 and p(1)?
102
Let l = 297 + -297. Calculate the common denominator of l - (8/9 - (-32)/(-8)) and 7/(-2)*(-24)/10.
45
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