68
Let x be 1*3 + (-6)/30. Let b = 188/15 + x. Find the common denominator of b and (-1226)/396 - (-2)/(-9).
66
Let j be (13192/96)/((-595)/884). Let u = -79751 - -559695/7. Let s = u + j. What is the common denominator of 47/15 and s?
15
Suppose 0 = -2*w - 0*w + 8. Suppose -g = 2*h - 70, -5*h - 5*g + 84 = -91. Suppose -h*k + 30 = -180. What is the lowest common multiple of k and w?
12
Calculate the smallest common multiple of (1 - 2/4)/(599/7188) and 1494.
1494
Let m = 21504/13 + -1268791/767. Calculate the common denominator of 23/2124 and m.
27612
Suppose 80 = -5*b + 9*b. Suppose 3*y + j - 20 = 0, -5 = -4*y - 41*j + 44*j. Calculate the smallest common multiple of b and y.
20
Suppose -4*k + 112813289 - 2722081 = -4*i, 2*i + 2*k = -55045608. Let j = -495655817/18 - i. Let d = -13638 - j. Find the common denominator of 21/20 and d.
180
Let x = 33 - 23. Let r be 5929/540 - 2/x. Let y = r + -4/135. Calculate the common denominator of y and 27/14.
28
Let k(u) = -53*u**2 + 5*u - 7. Let w be k(2). Let l = w + 215. Calculate the smallest common multiple of l and 14.
42
Suppose -13*p = -p + 1008. Find the common denominator of (-30)/48*(-3)/(p/20) and 45/56.
56
Suppose 5*j - 4*g - 85 = 61, 5*g = -3*j + 58. Suppose -j*n = 12*n - 7562. What is the lowest common multiple of 7 and n?
1393
Let d(y) = -2*y**3 + y**2 - 8*y + 10. Let g be d(3). Let v = g + 60. Calculate the common denominator of -3 + v - 429/(-96) and -29/44.
352
Find the common denominator of -24/161 and (14438928/38272)/(-21) + 18.
16744
Let i = 506306802 - 1531071744185/3024. Let p = i + -1/432. Calculate the common denominator of -1 - 102/15 - 24/(-6) and p.
35
Let z = -3/1230536 + -48601111/2075914232. Find the common denominator of 27/2 and z.
3374
Let n be (-77427)/(-433512) + (-8)/(-64). Let y = -226/31 + 100641/13826. Let x = n - y. Find the common denominator of -29/6 and x.
54
Suppose 927 = -22*a + 2643. Calculate the smallest common multiple of 2 and (-2 - -4)*1131/a.
58
Suppose -2*u + 4*t + 46 = 0, -5*t = -5*u + 38 + 92. Suppose -113 = -7*c - u. Let o(m) = -232*m + 2. Calculate the least common multiple of o(-1) and c.
468
Suppose 0 = 2*m + 58*r - 62*r - 92, 0 = -2*m - 5*r + 47. Calculate the smallest common multiple of 88 and m.
792
Let x(r) = 3*r**2 - 11*r + 17. Let y be x(11). Suppose y*q + 300 = 264*q. What is the lowest common multiple of 33 and q?
660
Calculate the common denominator of (116/18)/((-448)/576) and 17/2695.
2695
Let q(j) = 3*j + 45. Suppose 26*i = 15*i - 165. Let f be q(i). Suppose f = -7*v - 10*v + 714. What is the least common multiple of v and 12?
84
Suppose 0 = 2*d - d, -2*w + 4*d + 332 = 0. Suppose -w + 174 = 2*p. What is the lowest common multiple of 1 and p?
4
Suppose -71*m + 39*m + 42*m = 9300. What is the least common multiple of 30 and m?
930
Suppose -220 = 8*w - 572. What is the smallest common multiple of 3/((2988/80)/9 - 4) and w?
220
Let y = -2 - -5. Suppose -22 = 3*j - 124. Let d = 42 - j. What is the least common multiple of d and y?
24
Let r = -40701/10 - -4640669/1140. Find the common denominator of r and 2.
228
Let a = -84/67 + 1079/1876. Suppose 5*s - 140 = -20. Calculate the common denominator of a and 1/s*(-213)/(2 - 5).
168
Let n(h) = h**2 + 52*h + 639. What is the least common multiple of 42 and n(-15)?
84
Suppose -f - 3*x + 2210 = x, 2*x - 6590 = -3*f. Let h = -74615/34 + f. Calculate the common denominator of (-6)/10 - (-554)/140 and h.
238
Let m = 649991021/7885196 + 1/358418. Let p = -335/4 + m. Find the common denominator of 266/(-12) - (-1 - 0) and p.
66
Let l be 2/7 - 30/7 - -10. Let c = 49 + 2. Find the common denominator of 31/6 and c/(-21) + (-10)/l.
42
Suppose -216*s + 4708 = -109*s. What is the least common multiple of 220 and s?
220
Suppose -20*w + 190 = -290. What is the least common multiple of 44 and w?
264
Find the common denominator of ((-198)/(-84))/(10/(-1 - 29)) and 3/489*194/(-4).
2282
Let t = -5/12514 - 184284/744583. Calculate the common denominator of 55/136 and t.
952
Let b(s) = 6*s - 22. Let u be b(4). Suppose 4*y + 653 = -a, -340 = u*y - 5*a + a. What is the common denominator of -29/18 and 4/12 + y/(-192)?
144
Let d = -35 - -38. Suppose -d = 3*x, 3*n = -x - 13 + 42. Calculate the least common multiple of n and (-3)/(-12) + (-117)/(-12).
10
Calculate the least common multiple of ((-75)/(-6) - 0)*-1*-54 and 36.
2700
Let o = 5 + -3. Let k = 3 - o. Suppose 4*q + q + 2*f - 45 = 0, 3*q - 2*f = 27. Calculate the lowest common multiple of k and q.
9
Suppose 0 = -122*j + 53*j + 1035. Suppose -18 = l - 2*l. Calculate the lowest common multiple of l and j.
90
Let z = 16 + -10. Let j be 2/(-10) + 828/(-10). Calculate the least common multiple of (-42)/(-294) - j/7 and z.
12
Let u be (270/(-28))/(24/(-1365)). Let g = 553 - u. Find the common denominator of (3289/429)/((-40)/(-18)) and g.
80
Let x = -7466118 + 111930242/15. Let q = x - -4097. Calculate the common denominator of 62/15 and q.
15
Let w be (-1)/(3 - 129/42). Let x be (-192)/(-56) + (-6)/w. Suppose 3*s + x*r - 15 = 27, 5*s = 3*r + 46. Calculate the smallest common multiple of 11 and s.
11
Suppose -11*x = -49*x + x + 7400. Calculate the smallest common multiple of x and 60.
600
Let m = -243325 + 542858106/2231. Calculate the common denominator of -3 and m.
2231
Let t = 65 - 317. Let f = -248 - t. What is the lowest common multiple of 5 and f?
20
What is the common denominator of (-7 - (-2967)/423)*1*(-14)/8 and -43/24?
1128
Let i = 3 + -23. Let j = i + 38. Let v(m) = 4*m**2 - 38*m + 96. Calculate the smallest common multiple of j and v(7).
234
Let j(l) = l**2 + 7*l - 3. Let i be j(-7). Let x = i + 8. Suppose -28*u + 190 = -23*u + 6*o, 0 = 4*u + o - 133. Calculate the least common multiple of x and u.
160
Let d(a) = 2*a**2 + 3*a - 15. Let i(o) = -o**2 + 6*o**2 - o**3 + 189*o - 181*o. What is the lowest common multiple of i(6) and d(-5)?
60
Let y be (2 - 3)/1 + 6. Suppose -3*c + 9 = 0, 3*c + 175 = y*q + 8*c. Let z = 1380 - 1370. Calculate the lowest common multiple of q and z.
160
Let a = 4199 + -3543. Calculate the least common multiple of a and 820.
3280
Let l be (5 + -9)*1*-1. Suppose 0 = -4*h - 4*o - 42 + 166, 3*o = l*h - 89. Suppose -3*i = 6, -h - 86 = -5*u + i. What is the common denominator of -73/9 and u?
9
Let h(g) = 5*g**2 - 3*g. Let d be (-330)/88 + 9/12. Calculate the lowest common multiple of h(2) and 2*1/d - (-456)/36.
84
Let l = -1591681/2 + 795885. Suppose -6 = -7*b + 4*b. Calculate the common denominator of 66/49 + (-2)/b and l.
98
Suppose 6*l - 10 = l. Let r(m) = -31 + m**3 + 6*m**2 + m + 20 - m. What is the lowest common multiple of r(-5) and l?
14
Suppose -1491 = 25*s - 32*s. Let f = 238 - s. Calculate the lowest common multiple of f and 20.
100
Suppose 3*w - 87 = -3*l, -5*w = l - 49 + 4. Suppose 3*a - 74 = l. Calculate the smallest common multiple of a and (-1350)/(-180) - 195/(-10).
297
Calculate the lowest common multiple of 15/(-18) + ((-68)/102)/((-12)/7791) and 243.
3888
Calculate the common denominator of 85/72 and (-6672)/(-1856)*(-3 + 9)/108.
2088
Let m = -65 + 66. Let y(d) = 0*d - 3*d - 6*d + 15 + 6*d. Calculate the least common multiple of y(3) and m.
6
Let l = -31539 + 883143/28. Calculate the common denominator of l and -30/6503.
26012
Suppose 0 = 145*x - 146*x. Suppose 3*z + 17 = 5, -2*q - 4*z + 80 = x. What is the lowest common multiple of q and 16?
48
Suppose -4*z + 16*c - 1880 = 12*c, -5*c = 4*z + 1862. Calculate the common denominator of 69/z*-3 + 26/(-169) and 2030/(-168) - 1/2.
156
Calculate the common denominator of -29 and -8 - (-399)/49 - (-4)/(-8960)*1146.
160
Find the common denominator of 167/360 and 5 + -2 + -6 - (-6)/((-3120)/(-1501)).
4680
Suppose -5*g + 14 = 2*q, 2*g + 3*q = 1 - 2. Suppose 67 = g*d - 5*u + 6*u, -2*d = 3*u - 21. What is the smallest common multiple of d and 12?
36
Suppose 2*g = 38*q - 37*q - 2600, 0 = 4*g + 32. What is the least common multiple of q and 342?
23256
Suppose -11 = -l - 6. Let c(d) = d**2 + 31*d + 207. Calculate the lowest common multiple of c(-22) and l.
45
Suppose -5*j + 150 = -4*j. Suppose 5*m + 0*m = j. Calculate the common denominator of (-149)/m + 0 - (-3)/(-9) and -53/9.
90
Let s = -58 + 36. Let j be 6/(-3) + (-1 - s). Let w = j - 5. What is the least common multiple of 2 