- (10/(-5812))/((-34)/177769).
5812
Let r be -3*(3 + (-480)/(-9)). Suppose -3*i = o - 3, 0 = 5*i - 5*o + 23 - 8. Find the common denominator of 81/10 and i/(-3) + (r/30)/(-13).
30
Let g = -2/78015 - -557252/78015. Find the common denominator of (-4)/6 + (-377)/(-102) and g.
238
Calculate the common denominator of (-110)/495 - (-93924)/424845 and 46/25.
26225
Let q = 1196057/6778422 + -2/16373. Find the common denominator of q and -19/288.
6624
Suppose -c + 1 = -1. Let k = -131707 - -131827. What is the least common multiple of c and k?
120
Let q = 2317 + -20890/9. Let s be ((-1)/(-2))/((-11356)/(-16) - 5). Let r = s - 76135/31009. Calculate the common denominator of r and q.
99
Suppose -3*m = -15 - 39. Let h(c) = -8*c + 2*c + 15 + 2 + c. Calculate the smallest common multiple of m and h(-3).
288
Let l(t) = 2*t + 158. Let u be l(41). Suppose c = -3*c - 4*g + u, 0 = -5*c - 4*g + 300. What is the least common multiple of 66 and c?
660
Let c be (2 + 0)*3/(-6). Let z = 3352045/24 + -139669. What is the common denominator of 2 - c*1/(-6) and z?
24
Let z = -51623/1230 - -1679/40. Find the common denominator of z and -19/7.
6888
Let d = 10200799/195 - 52312. What is the common denominator of 13/372 and d?
24180
Suppose -6*d - 20 = -2*d. Let i be (0 - -1)*((-4)/(-1) + d). Find the common denominator of -4 - i - 73/(-2) and -3/34.
34
Suppose 5*h = -16 + 31. Suppose 2*q = 3*r, -h*r = 3*q - 0*q - 15. Let n(x) = x**3 - x**2 + 3*x - 3. Calculate the smallest common multiple of 3 and n(r).
21
Let y = -89195/472692 - 5/7162. Find the common denominator of y and -115/72.
792
Suppose 5*g - 5*o = 12260, -8*g + 7360 = -5*g - 4*o. What is the lowest common multiple of g and 16?
2448
Let k = -735771 + 2147715527/2919. Calculate the common denominator of -1/21 and k.
2919
Let r = 1 - -21. Let f = -137 + 145. Let d = f - 0. What is the smallest common multiple of r and d?
88
Suppose -1034*n = -1047*n - 403. Let f be 3 + (1 + 0)*-1. Find the common denominator of n and (f/6)/(6/82).
9
Let f = 25542220/127 + -201121. Let m = -125551428929/1270 + 98859383. Let b = m - f. Find the common denominator of b and -1/22.
110
Let b = -16442 - -657749/40. Calculate the common denominator of ((-1207)/68)/(-1 - -2) and b.
40
Let z = -401/33 + 2378/231. What is the common denominator of z and 28/19?
133
Let y = -20 + 23. Suppose n = -y*q + 22, 3*n + 54 = 5*q + 8. What is the lowest common multiple of 5 and q?
40
Let p = 6457/12 + -528. Let d(z) = z**3 - 15*z**2 + 10*z + 24. Let u be d(15). Let i = 2793/16 - u. What is the common denominator of i and p?
48
Suppose -4*d - 5*h = 1110, -2*d - 469 - 85 = 2*h. Calculate the common denominator of (-5)/6 + 16110/1350 and (-10)/15 + d/(-12).
20
Suppose -773*g = -805*g + 22272. What is the smallest common multiple of 928 and g?
2784
Let z(q) = -2*q + 51*q**2 - q**3 - 24*q**2 + 0*q - 22 - 53*q**2. What is the smallest common multiple of z(-26) and 99?
990
Suppose -209*g + 214*g = 15. Let w(r) = -r + 25. Calculate the smallest common multiple of w(22) and g.
3
Let p be 11790/(-48) + 6/(-16). Calculate the common denominator of (-47)/(-94)*172/p and -61/2.
246
Let j = 1/5326 - -10465/995962. Let l = -6557/1122 + j. Calculate the common denominator of l and (-396)/80 + 2/2.
60
Suppose -4*j = 2*k + 3*k + 23, -5*j - 4 = -2*k. Find the common denominator of 3/(-36)*(j - (-1 + -92)) and 39/10.
60
Let h = 493864 + -1959005/4. Let j = h + -4134. Calculate the common denominator of j and -55/74.
148
Let h(g) = -30*g - 540. Let v be h(-18). Let t = -270 + 540. Suppose f + 4*f - t = v. Calculate the least common multiple of 16 and f.
432
Let i = -63/25 - -43217/17100. Calculate the common denominator of i and -113/2508.
7524
Let y(c) = 27*c**3 - c**2 + c. Suppose 4*d + 2*t = 14, 4*t - 3*t + 5 = d. Find the common denominator of y(1) and ((-1107)/(-315))/(5/(70/d)).
10
What is the common denominator of 13/100 and (-187)/(-4)*(-28)/(-210)?
300
Let o = -5891 - -58921/10. Calculate the common denominator of 101/1700 and o.
1700
Let k(d) = -20 - 6*d + 4 + 44*d + 11*d. Calculate the smallest common multiple of k(4) and 36.
180
Let d be 111 + 0*3/(-9). Calculate the common denominator of -31/22 and d/8*(0 - (-10)/(-675)).
1980
Let f(w) = 19 + 8 + 5 + 10*w - 10 + w**2. Calculate the smallest common multiple of 12 and f(-10).
132
Let u = 11976969269/6036 - 1984256. What is the common denominator of 91/36 and u?
18108
Suppose 6*o - f = 10*o + 68, -5*f + 92 = -4*o. Calculate the smallest common multiple of 44 and (7/(196/(-120)))/(o/84).
220
Let o(q) = -3*q + 61 + q - 54 - 2*q. Let t be o(-12). Suppose t = 11*y - 11. What is the least common multiple of 10 and y?
30
Let f = -9/101 + 5683/303. Let q = -165563/18 - -9205. What is the common denominator of f and q?
18
Let t = -3914 + 94033/24. Calculate the common denominator of t and -113/20.
120
Let k(m) = m**2 - 3*m - 8. Let c(j) be the first derivative of -j**3/3 + 3*j**2/2 + 18*j - 6. Calculate the least common multiple of c(5) and k(-2).
8
Let c(k) = k**2 - 32*k - 140. Calculate the smallest common multiple of 131 and c(-22).
1048
Let g = -33 + 97. Let a = 19448 - 19420. Calculate the least common multiple of g and a.
448
Let u(p) = -p - 10. Let n be u(-8). Find the common denominator of 335/(-60) + 1 + (-63)/54 and 1 + n + (-333)/30.
20
Let l be (12 - 5) + 31958/13098. Let n = l + -583/59. Calculate the common denominator of 69/10 and n.
1110
Let y be (9/(-27))/((-1)/9). Suppose 3*a = -5*r + 85, a - 2*a - 65 = -y*r. Let x(i) = 2*i**3 + 3*i - 41. Calculate the least common multiple of r and x(3).
220
Let t = 8189093/120 + -68242. Find the common denominator of 1/2184 and t.
10920
Calculate the common denominator of 218890/55932 - 1/(1/4) and -41/5.
2370
Let b = 1352852/143 + -49572/13. Let o = -4144 + -1499. Let q = b + o. Find the common denominator of 4/9 and q.
99
Suppose 1800 = -18*r + 12*r. What is the common denominator of -35/18 and 5 + (-23*5/r - 4)?
180
Let r = 242 - 242. Suppose 3*f + r = 5*k + 124, -4*k = -4*f + 152. What is the smallest common multiple of f and 126?
1386
Suppose -3*d - 9 = 3*g - 2*g, 5*g - 3*d = 27. Find the common denominator of (3/(-108))/(g/57) and -47/12.
36
Suppose 2*g + 5*q = 65, g - 5*q + 35 = -0. Suppose 2*j - 368 = -0*j. Calculate the least common multiple of j and g.
920
Suppose 2*r = -3*c + 34, c + 18 = r - 4. What is the smallest common multiple of r and 40?
40
Suppose -4*x = z - x + 6, -12 = -3*z + x. Suppose 4*f = f - 4*t + 18, -z*t - 24 = -4*f. What is the least common multiple of 88 and f?
264
Let g be 196*(-2 + 20/8). Suppose -4*r - g = 14. What is the common denominator of 21/r - (-1 - 43/(-18)) and -9/8?
72
Suppose 12422 - 18182 = -24*i. Calculate the least common multiple of i and 15.
240
Let b be -1 - ((-216)/134 + -1). Let g = b - -3133/1340. What is the common denominator of 15/20*(-226)/15 and g?
20
Suppose -143*a = -135*a - 160. Calculate the smallest common multiple of a and 3576.
17880
Let f = -3 - -7. Let k be (-1 + 3)/f*10. Suppose 0 = -k*t - 4*v + 74, -5*t = -3*t + 5*v - 16. What is the smallest common multiple of t and 20?
180
Let b = 608389/2899860 - -14/14215. What is the common denominator of -57/748 and b?
2244
Let r = -119 + 132. What is the smallest common multiple of (-6)/(-39) + 1 + 882/r and 12?
276
Let c be (-80)/64 - 343/4. Let x be ((-6)/27)/((-2)/(-858)). Let r = x - c. Calculate the common denominator of r and -17/3.
3
Suppose 0 = 3*z + q - 630, 5*q + 497 = 5*z - 553. Let o = -447/2 + z. Calculate the common denominator of (-401)/(-20) - 3/(-15) and o.
4
Suppose q = 5*q - 2*i - 308, q - 59 = -4*i. What is the common denominator of (-2)/(-5) + (-1130)/q and 45/(-7) - (-8)/(-14)?
3
Suppose 0 = -b + 2 + 13. Suppose -4*j + 540 = -4*d - 0*d, -8 = -2*d. Let t = j - 124. Calculate the lowest common multiple of b and t.
15
Let a be ((-104)/39)/((2/(-1674))/1). Let t = 15210 - a. Let b = t + -674915/52. Calculate the common denominator of 67/22 and b.
572
Let d = 172279 - 20845766/121. Find the common denominator of -2 + 38*(-6)/(-44) and d.
121
Let l = 368/17 - 2847/170. Let y = -6 + 11. Find the common denominator of l and -1 + y/38 + 0.
190
Let a(g) = -g**3 + 29*g**2 + 17*g - 165. What is the smallest common multiple of a(29) and 44?
3608
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