18
Let y be (4 - 2)/2 - 0. Let j be y + -1 + (-5)/((-20)/164). Find the common denominator of 71/2 and 2/((-6)/(-1)) + j/(-2).
6
Let i be (1/42)/((-36)/115739964). Let j = i + 76544. Calculate the common denominator of j and 17/9.
126
Let b = -40 - -45. Let n(g) = g**3 - 6*g**2 + 9*g - 3. Let q be n(b). Suppose -5*p - 12 + q = 0. What is the least common multiple of p and 10?
10
Let v be 4*7 + (7 - (-10 + 19)). Let m be (3/(-2))/(2/(-28)). Suppose 8*k = m*k - v. What is the lowest common multiple of k and 136?
136
Find the common denominator of 119/(-238) + (-1790)/(-960) and ((-7)/(-162))/(4/(-78)).
864
Suppose -8*u + 48*u - 34749 = -59*u. What is the smallest common multiple of u and 16?
5616
Let x(w) = w**3 + 8*w**2 - 11*w - 14. Let d be x(-9). Let g(y) = y**3 + 6*y**2 - 5*y + 4. Calculate the lowest common multiple of g(-6) and 112/21*(-1 + 10/d).
136
Let u = -1956107/86 + 22746. Calculate the common denominator of 1/4 - -25*1 and u.
172
Let z = 4675901/396 + -47233/4. What is the common denominator of z and -17/27?
594
Let o = -22496 + 68905/3. Let b = -465 + o. Find the common denominator of -7/11 and b.
33
Calculate the common denominator of (14 - 5) + (3 - 266090/22172) and -11/20.
110860
Let h(u) = 2*u**2 + 43*u - 439. Calculate the lowest common multiple of h(8) and 45.
495
Suppose 12390 = -23*q + 44*q. What is the lowest common multiple of q and 2?
590
Suppose 2*b - 4*a = 4 + 92, 0 = -3*a - 12. Suppose -9*r + 5*r + b = 0. Let g(y) = 186*y - 1100. What is the least common multiple of g(6) and r?
80
Let v = 426503/30 + -14216. What is the common denominator of v and 35/2097?
20970
Let s = 10/357 - 5851/714. Let l = -1481/2 - -5158/7. Calculate the common denominator of l and s.
42
Let a be (2/4*0)/1. Suppose -2*k + k + 22 = a. Suppose 15*m - 17*m = -32. Calculate the lowest common multiple of m and k.
176
Let i(l) = -l**2 - 32*l + 80. Calculate the lowest common multiple of 70 and i(-22).
2100
Find the common denominator of ((-330)/(-192))/((-15)/(120/64)) and 97/1664.
3328
Let t be (-10)/6*24/(-178260). Let x = t - 101044/133695. Find the common denominator of x and 64/9.
45
Let j = 18600 + -18586. What is the least common multiple of j and 898?
6286
Find the common denominator of (-4 - 121/(-50))*(-31)/31 and -64/185.
1850
Suppose -2*o = -77 + 73. Suppose -2*k + 3*k - 15 = a, -4*k + o*a + 52 = 0. Calculate the lowest common multiple of k and 3.
33
Suppose 7*g + 104 + 256 = 11*g. What is the least common multiple of 12 and g?
180
Suppose 121*l - 5369 - 602 = 10364. Calculate the least common multiple of l and 36.
540
Let w = -108 + 108. What is the least common multiple of 1 and w/(-2) - (-15 + -39)?
54
Let q = 13 + -5. Let j = -8 - -7. Calculate the least common multiple of j - -6*(4 - 3/1) and q.
40
Suppose -o = 3*h - 1365 + 823, 0 = h - 5*o - 202. Let m(c) = -c**2 - 6*c - 1. What is the least common multiple of m(-5) and h?
364
Suppose -30*u = -85*u + 42075. Calculate the least common multiple of 33 and u.
8415
Calculate the common denominator of ((-22)/1520)/(784/(-3560)) + (-50)/475 and -163/3528.
7056
Suppose -5*i + 35 = 5*k, 2*i - 41 = -3*i - 3*k. Suppose y = -5 + i. Let g(q) = q**3 - 6*q**2 + 6*q + 4. What is the lowest common multiple of 3 and g(y)?
9
Let m be 2/(-17) + 18114426/(-9180). Let p = -9882/5 - m. Calculate the common denominator of p and 17/(-24) + 0 - 0.
120
Suppose -460 - 1322 = -27*x. What is the smallest common multiple of x and 2?
66
Suppose -92 = -5*v + 48. Suppose 2*z - z = v. Let m = -10 + z. Calculate the smallest common multiple of m and 22.
198
Let j = -3536/9 + 392. Let d(t) = t**3 - 3*t**2 + 4*t + 7. Let y be d(4). Suppose b + y + 3 = 0. Calculate the common denominator of b and j.
9
Suppose 25*h + 14*h - 39560 = -47*h. Calculate the lowest common multiple of h and 100.
2300
Suppose -4*k + 0*f - 4*f = -400, -320 = -3*k + 2*f. What is the common denominator of -6 + 4/2 + 307/k and -61/6?
312
What is the least common multiple of 112 and -8*(-6 + (-48)/6)/(1/2)?
224
Let g(z) = -z**3 + z**2 + 4*z + 1. Let v be g(-2). Suppose -i = -4*p - 28, 2*i + 3*p + 39 = v*i. Let d = -3 + 5. What is the least common multiple of d and i?
8
Let k = 16303897/53075 + 794/2123. Let b = k + -174349/400. Let s = b - -129. Calculate the common denominator of s and 53/12.
48
Let v = -2891 - -2901. What is the least common multiple of 50 and v?
50
Let j(p) = p + 16. Let k be 3/(-6) + 20/8 - -2. Let i = -3 - -5. What is the smallest common multiple of j(k) and i?
20
Calculate the common denominator of 13/44 and 6080/1872*(-24)/128.
1716
Suppose 19*z = -430 + 3051 + 666. Calculate the lowest common multiple of 519 and z.
519
Suppose 28*x - 23*x = 810 + 210. Calculate the smallest common multiple of 510 and x.
1020
Let g = -6983 + 55939/8. Let l be (-70731)/(-27) + (-2)/3. Calculate the common denominator of g and (l/18)/(-11 + -1).
8
Let n = -20383 - -4728843/232. What is the common denominator of 4/261 and n?
2088
Let j be 1 + (-1 - (-20596535)/18). Let r = j - 1147916. Let d = r - -3666. Find the common denominator of d and 38/27.
54
Suppose -2*l + 108 = -3*y, 0 - 92 = -2*l - 5*y. Calculate the lowest common multiple of 207 and l.
3519
Let r = -11151463/114926260 + -15/108421. Find the common denominator of 7/636 and r.
3180
Let l = -535907/36 - -104206/7. Find the common denominator of l and 83/378.
756
Let i = -1960 - -3836. Calculate the common denominator of ((-5)/80)/(2/186) and (9/(-42))/((-1948)/i + 1).
48
Let c(p) = 167*p + 975. Let d be c(-6). Let a(s) = s**3 - 6*s**2 - 2. Let q be a(6). What is the least common multiple of d/(-36)*(q + 0 + 14) and 10?
90
Suppose 204 - 366 = -18*k. What is the lowest common multiple of 4122 and k?
4122
Let z(x) be the first derivative of -x**3/3 - 7*x**2 + 152*x + 43. Let t = -6 - -8. What is the lowest common multiple of t and z(-21)?
10
Let g be (-34)/(-51)*2*6/4. Suppose 0 = g*h + 4*h - 3000. Let b = h - 1985/4. Calculate the common denominator of b and 23/16.
16
Calculate the common denominator of 15/22 and (-36)/324 + (3338/10440 - (-12)/(-60)).
1276
Let w = -15 - -20. What is the common denominator of 4 + (-2 - (-16)/3) and 44/(-22) + 33/w?
15
Let p(o) = -2*o + 0 + o**2 - 4 + 3 + 3. Let n be p(0). What is the common denominator of 65/6 and 652/48 + (-2 - -1)*n?
12
Let y = 22913652 - 825023879/36. Let n = y + 3679. What is the common denominator of -67/42 and n?
252
Let v = -7763 + 7807. What is the lowest common multiple of 209 and v?
836
Suppose -t = 1820 + 9425. Let l = t + 236198/21. What is the common denominator of l and -56/45?
315
Suppose 0 = -7*v + 10*v - 105. Find the common denominator of (-78)/40 - (-1)/2 and -3*v/(-30) - -4.
20
Calculate the common denominator of (-7 - (-1286)/144)*4 and -31/1098.
1098
Let s(c) = c**3 + 58*c**2 + 175*c + 568. What is the lowest common multiple of 2121 and s(-55)?
12726
Let z(v) = -v**2 - 8*v - 4. Let y(l) = -61*l - 29. Let f be y(-1). Suppose 21*o = f*o - 33. What is the lowest common multiple of o and z(-5)?
33
Suppose -5*c - p = 116141, -118*c + 120*c - p + 46462 = 0. Let g be 27880850/480*4/(-10). Let v = c - g. What is the common denominator of 16/27 and v?
216
Let i = -195 - -134. Let y = -73 - i. Calculate the lowest common multiple of 8 and ((-2)/(-6))/(y/(-72)).
8
Calculate the common denominator of -25/22 and (498277/(-1795248) - 2/(-7))*(-60)/(-42).
108504
Calculate the lowest common multiple of 9920/186*144/10 and 40.
3840
Suppose 4*y = 11 + 89. What is the smallest common multiple of y and (-2 - (7 + -8))*-40?
200
Let o be 2 - ((40673/(-5704) - -2) + -2). Let w = 2196/47 - 1565560/33511. Let x = w - o. Calculate the common denominator of x and -91/8.
8
Suppose -51 = -19*m + 6. Suppose 0 = -3*o - 2*u + 8, -4*u - 22 = -5*o - 3*u. What is the lowest common multiple of m and o?
12
Let m be 799/68 + 1/4*1. Calculate the common denominator of (-455)/84*(-44)/20 and ((-2)/m)/(-1 - (-56)/58).
12
Calculate the common denominator of -79/1462 and ((-12)/(-144))/(153/14175*5).
2924
Suppose 4*i = 2*y + 5888, -5*i + y + 529 = -6831. What is the lowest common multiple of i and 1104?
4416
Let d = 18326339/288 + -63633. What is the common denominator of (-1070)/(-24)*((-112)/(-35))/(-16) and d?
288
Let l(j) = -177*j - 1. What is the l