Let x be 0/(1 + -1 + 3). Calculate the common denominator of (38/10)/((-14)/(-5)) and 2/(-10) + 231/30 + x.
14
Let n be (158221/14)/((-12)/9). Let l = n + 8464. Calculate the common denominator of l and (1/6*-2)/(4/130).
24
Suppose -t + 3*i = 4*t - 26, t = 4*i - 5. Suppose -2 = -k + 13. Calculate the least common multiple of k and t.
105
Suppose -5*z - 3*w = -2747, -5*w = 326*z - 325*z - 545. Calculate the smallest common multiple of z and 13.
7150
Let b = -5 - -11. Let p = -42 - -49. What is the least common multiple of p and b?
42
Let m = 8275/12 + -1373/2. Let p be ((-312)/40)/((-6)/(-20)). Find the common denominator of m and p/20*800/384.
24
Let y = 609253/163086 + 9/3883. Find the common denominator of 47/92 and y.
1932
Let r = -121759/7941 - 1/2647. Find the common denominator of r and -139/210.
210
Suppose 7*l - 27 = 57. Suppose -d + l = -5*p + 6*p, -4*p = 0. Calculate the smallest common multiple of d and 40.
120
What is the common denominator of ((-151)/(-75) + -2)*(8 + 5709/(-88)) and 143/24?
120
Suppose 0*l - 203*l + 13*l = -214130. What is the lowest common multiple of 184 and l?
9016
Let n(x) = -x + 49 + 37 - 70. Calculate the smallest common multiple of n(7) and 5.
45
Let j = -148 - -159. Suppose -3*o + 5 = j, 3*n - o = 68. Calculate the lowest common multiple of 128 and n.
1408
Suppose 3*g - 15 = -2*x, 6 = 4*x - g - 17. Suppose -5*j + s = x*s + 55, 4*j + s + 38 = 0. Calculate the common denominator of 121/36 and 3/j*2 + 454/168.
252
Let u = 1062 - 989. Calculate the least common multiple of 12 and u.
876
What is the common denominator of 1936/1010 + (-3 - -1) - (-1)/(-10) and 81/8?
808
Suppose 10*s = 7*s - 16*s + 186276. Calculate the least common multiple of s and 4.
9804
Suppose 5 = -3*u + 5*u + z, 2*u - 4 = -2*z. Suppose -u*t - 582 = -0*t. What is the common denominator of (-4)/18 - t/36 and -101/18?
18
Suppose -5*x + g + 250 = 0, -49 = 5*x + 4*g - 299. What is the smallest common multiple of x and 625?
1250
Suppose -2*g = -7*g - 5*s - 50360, g = 4*s - 10067. Let q be (-1609616)/24*3/(-20). Let r = g + q. Calculate the common denominator of 101/16 and r.
80
Suppose 14 + 22 = -2*g + 4*b, 0 = -4*g - 2*b - 72. Suppose 3*r = 4*f + 127, -2*r = f + 3*r + 3. Let d = g - f. Calculate the lowest common multiple of d and 22.
110
Find the common denominator of (-868)/50127*(-1)/((-8)/134) and 21/55.
1155
Let n = 18546679/197109682 + 1/363671. Find the common denominator of n and 45/8.
2168
Calculate the common denominator of ((25179/161)/11 + -14)*(-1)/(-17) and 46/323.
7429
Let j = 995 - 975. Calculate the smallest common multiple of 210 and j.
420
Suppose 2*t = 13*t + 264. What is the common denominator of ((-310)/(-152) + -2)*54 and 49 - (5 + -1)*(-3)/t?
38
Let d = -3517/6 - -584. Calculate the common denominator of (237/(-720))/(16/(-40)) and d.
96
Let u = -54 + 54. Suppose 3*f + 12 - 66 = u. Let r(w) = 2*w**2 - 3*w - 1. What is the smallest common multiple of r(3) and f?
72
Let g be (-5)/420*(2 - 1697/2). Let k = -771/56 + g. What is the common denominator of 27/7 and k?
42
Calculate the common denominator of (230/8225)/((-114)/266) and -61/141.
705
Let w be 3679474598/(-4246)*(-22170)/70 + -2. Let h = w - 274456466. Let m = -1/2702 - h. Calculate the common denominator of -31/8 and m.
88
Let g = -273136 + 1911918/7. Find the common denominator of g and (-68)/166 + 1 + -1.
581
Calculate the common denominator of 13/33 and (5/2060)/((-58)/(-104) + 4/(-8)).
3399
What is the smallest common multiple of 42 and (-8 - -15)*(16 + -4 + -4)?
168
Let x = -76200/7 - -5333973/490. Find the common denominator of x and -109/80.
3920
Let s = 277/8 + -1159/24. Calculate the common denominator of s and -113/1568.
4704
Let t(q) = -13*q**3 + 12*q**2 + 14*q - 17. Let n be t(5). Let b = n + 7505/6. Find the common denominator of b and 75/68.
204
Let r = 5312003/6774504 + -2/76983. Calculate the common denominator of r and (-266)/56*1*(18/(-14) - -1).
616
Let k(z) = 2*z**3 + z**2 - 88*z - 17. Find the common denominator of 77/3474 and k(-7).
3474
Calculate the lowest common multiple of (-12 - -4 - -1411) + (-2 + 0)*2 and 9.
12591
Let j be -3 + (-10295)/66 - -1. Let r = j - -476/3. What is the common denominator of -41/28 and r?
308
Let l = -2584 - -36181/14. Find the common denominator of 11/106 and l.
742
Let a = 74346488/3591 - 144924/7. What is the common denominator of a and 11/54?
1026
Let r(u) = -u**3 - 5*u**2 - 5*u + 12. Let y be r(-6). Suppose 77*l + 10 = y*l. What is the least common multiple of 8 and l?
40
Let q = 15485515202304492749122/2017037 - 7677358026802210. Let n = 6/183367 - q. Let i = 1265 - n. Calculate the common denominator of -21/8 and i.
88
Find the common denominator of -61/1560 and (-4 - 299/(-78))*139/234.
14040
Let z = -18 - -51. Let o = 1356 - 1329. What is the lowest common multiple of o and z?
297
Let g = -360 - -322. Calculate the lowest common multiple of ((8/(-3))/2)/(g/114) and 32.
32
Let a(t) = -t**2 - t + 2. Let i be a(1). Let f = 4 - 2. Suppose -f*y + 116 = -i*y. Calculate the lowest common multiple of 8 and y.
232
Suppose 151*n = 133*n + 90. What is the smallest common multiple of n and 2731?
13655
Suppose -w + 216 = 44. Suppose 0*o - 8 = -4*n - 4*o, 5*n + o - 6 = 0. Calculate the smallest common multiple of n and w.
172
Let i(q) = 0*q**2 + 2*q**2 + 6*q - 5*q + 4*q - 4. Let y(l) = 42*l + 2239. What is the lowest common multiple of y(-53) and i(-4)?
104
Suppose 4*w + 2028 = 3*b, 110 - 107 = w. Calculate the smallest common multiple of 1360 and b.
1360
Suppose 0 = 9*f + 11*f - 2300. Calculate the common denominator of f/(-9)*((-18)/32)/(-3) and 49/8.
48
Suppose -3*f + 1384 = -5*u - 2625, -4*u = 4*f - 5292. Calculate the smallest common multiple of f and 44.
14608
Let o = 40 + -40. Let k be 4 + 11125/10 - o. Let m = k + -1095. Calculate the common denominator of 87/4 and m.
4
Suppose 8*d - 5*d = 60. Suppose 0*p = -p + t - 4, -p - d = -5*t. Suppose -10*q - 51 + 151 = p. Calculate the lowest common multiple of 11 and q.
110
Let s = -14161 + 311475/22. Let a = 363117719/20 + -18162599. Let k = a - -6708. Calculate the common denominator of s and k.
220
Suppose -24 = -7*w + 5*w. Let h be (-136)/(3 - -1)*w. What is the common denominator of ((-54)/10 - -5)/(h/130) and 127/12?
204
Let a = -88 - -89. Let b(w) = 11*w - 16*w - 2 + a. Calculate the smallest common multiple of b(-1) and 6.
12
Let j be (-2 + (-44)/(-55))*(-6 - -1). Calculate the least common multiple of 1 and (j - (1 - -4))*(-22)/(-2).
11
Let r = 171096 - 1720751/10. Let u be (-4)/(-10) - (-9776)/10. Let l = r + u. Find the common denominator of 27/2 and l.
10
Let t = -16245 - -341210/21. Let x(s) = s + 4. Let w be x(-3). Find the common denominator of (1 + (-5)/27)/w and t.
189
Let p = 15939 + -1115677/70. Let n = -17929/12 - -4448/3. Find the common denominator of p and n.
420
What is the least common multiple of (41420/(-60) - -19)*(-5 - 1) and 4?
4028
Suppose 35*q = 13*q + 484. What is the least common multiple of q and 3 + (2 - 1) + 28?
352
Let o(k) = k**3 - 18*k**2 - 24*k + 89. Let a be o(19). Suppose 3*i - 13 = 107. What is the common denominator of 1 - ((-11)/(-16))/(a/i) and -127/24?
24
Let f = -41098571201/16515 + 12442797/5. Let s = -7788 - -2858193/367. Let j = f + s. Calculate the common denominator of j and -13/27.
27
What is the common denominator of -1 + (57/(-10))/1 and 63988/(-8568) + (-2)/14?
90
Suppose -5*l = -i + 35484, 5*l + i + 35489 = -3*i. Let y = l - -42469/6. Calculate the common denominator of (-4)/34 - (-29699)/(-10404) and y.
36
Let f = -474 + 728. What is the common denominator of (-8 - f/(-16)) + (-4)/(-2) and ((-34)/(-4))/((-14)/(-4))?
56
Let g = -2114077/66 + 32030. What is the common denominator of g and 2/((-160)/265) + -3?
528
Suppose -3*c = -u - 15, 5*c - 17*u + 13*u - 18 = 0. Calculate the common denominator of (-244)/(-14)*(0 + c/60) and -4/11.
385
Let d = -109250574/40817 + 45502/17. Calculate the common denominator of d and 67/3087.
21609
Let i(l) = l + 9. Let j be i(-6). Suppose 52 = 3*n - 4*a, 4*n + a = -j*a + 32. Let z = 10 - -17. Calculate the smallest common multiple of z and n.
108
Let i = -459 - -659. Suppose -r + 11*r = i. Calculate the lowest common multiple of 30 and r.
60
Suppose -5*u = -123*h + 118*h - 