/(-338))?
2100
Let t(y) = -y**3 - 89*y**2 + 187*y + 467. Suppose -3*z + 5*z - 1356 = -4*p, -4*p + z = -1362. Calculate the least common multiple of p and t(-91).
1020
Let m be (3 - (-111)/3)/(2/(-4)). Calculate the least common multiple of 144/m*10/(-6) and 51.
51
Find the common denominator of 143/96 and 745/12*(60/(-160) - (-2)/5).
96
Let q be (-16)/(-2) - 6 - (-4 + -1). Find the common denominator of 4*1 - q/(-8) and -119/66.
264
Let o = -4067 + 142392/35. What is the common denominator of 30/847 and o?
4235
Let j = -688716081693/2313846416167 + 2/239553413. Let a = j - 890827831/202839. Let m = 4393 + a. Calculate the common denominator of m and -20/9.
63
Suppose -3*p + 3*f = -69, 415 = 4*p + 3*f + 330. Let d(m) = m**2 + 5*m - 10. Suppose 4*x + 5 + 23 = 0. Calculate the smallest common multiple of p and d(x).
44
Suppose 325 = 12*i - 11. Let s(j) = j**3 - 26*j**2 - 51*j - 59. Calculate the smallest common multiple of s(i) and 18.
162
Let j = 34 - -48. Let k = j - 80. Suppose -3*z + 6 = -k*z. What is the lowest common multiple of 8 and z?
24
Suppose 0 = -5*w + 3*j + 29767, w - 5947 = 5*j - 6*j. Calculate the smallest common multiple of 2 and w.
11902
Calculate the least common multiple of 9/(-5) + (-13110)/(-575) and 458/14 + 4/14.
231
Suppose -t + 82 = 5*m, 29*m - 49 = 27*m + 5*t. Calculate the least common multiple of 1020 and m.
1020
Let k = 528 + -495. What is the lowest common multiple of -4 - (-22)/5 - 1046/(-10) and k?
1155
Calculate the common denominator of 121/1520 and (-27)/(-3) - 32488/3648.
4560
Let a = 4860 + -4860. Let i = -58 - -113. Suppose i*w - 52*w - 96 = a. Calculate the smallest common multiple of 20 and w.
160
Let h be ((-28)/(-16))/(-7) + 1735/(-20). What is the common denominator of h/6 + (40/6)/(-4) and -107/26?
78
Let a be 15364/(-10) - 20/(-50). Let r = a + 15323/10. Find the common denominator of r and ((-71)/3 - -7)/(14/2).
210
Let j(k) = -6*k**3 - 8*k**2 - 15*k - 22. Calculate the least common multiple of 880 and j(-2).
2640
Suppose 21 = 5*k + 4*z - 2, 14 = 4*k + z. Suppose 0*t + 162 = k*t. What is the smallest common multiple of 24 and t?
216
Let t(v) = v**2 + 60*v - 1134. Calculate the smallest common multiple of 14 and t(22).
4690
Let v be (-6)/(-4)*(-1 - 1). What is the common denominator of -9 + 1037/102 - (-25)/((-2200)/16) and 198/(-4)*v/(-72)?
528
Let u(g) = -16*g + 271*g**2 + g + 56 - 270*g**2. Suppose -5*i - 17 + 62 = 0. Calculate the least common multiple of i and u(9).
18
Let q(s) = -2*s**3 + 11*s + 17. Let x be q(-3). Suppose -4*d + d - j + 27 = 0, 4*d + 2*j = x. What is the smallest common multiple of 10 and d?
40
Calculate the common denominator of (545/60)/(100/(-250)*5/4) and -47/528.
528
Let p = -109 + 114. Let l = 7 - p. Suppose -2*n = 3*t - 6, 2 = -4*n + l*t + 30. Calculate the lowest common multiple of 10 and n.
30
Suppose 0 = z + 3*o - 14, -52 = -z - 2*z - 4*o. Suppose -3*t - 4*q + 80 = 0, 2*t - 4*q - 37 = -17. What is the smallest common multiple of t and z?
20
Suppose 36023 = -9*k - 8*k. Let q = -12793/6 - k. Calculate the common denominator of 19/6 and q.
6
Calculate the common denominator of -17/175 and (952794/86625 + -11)/(3/(-5)).
1925
Let k be 39/(-12)*(-1)/(9/36). Suppose -3*z + 768 = k*z. What is the lowest common multiple of 114 and z?
912
Let i(k) = 172*k - 1177. Calculate the lowest common multiple of i(10) and 6.
1086
Suppose -5*c + 5*y + 4645 = 0, -25*c + 3*y = -29*c + 3681. Calculate the lowest common multiple of c and 420.
4620
What is the least common multiple of 252 and (-6716)/(-24) - (9 + (-110)/12)?
2520
Suppose 61*y - 69001 - 37505 = 0. What is the least common multiple of y and 72?
6984
Suppose 4219 = -5*p + 13459. What is the least common multiple of 252 and p?
5544
Let q(c) = c**2 + 5*c + 7. Let s be q(-4). Let z be ((66/(-14) + s)*14)/1. Calculate the common denominator of 47/17 and z/22*(-7)/(-2).
187
Find the common denominator of 93/48*6/(-4) and 58/56*(6 + -3) + -1.
224
Suppose 0 = d - 5*i - 634, d - 2*i - i = 626. Suppose 89 - d = -15*s. What is the least common multiple of (300/s)/(3/14) and 36?
360
Let q = -14/23667883 + -31947926191655/1207062033. Let x = q + 26469. Find the common denominator of -11/8 and x.
408
Let v = 470 - 461. Calculate the common denominator of 77/24 and 1/((14/(-798))/((-1)/v)).
24
Let o = 237031/14 + -16930. Find the common denominator of -13/3074 and o.
21518
Let w(t) = 84 + 27 + 10*t + 69. Calculate the lowest common multiple of w(15) and 16.
2640
What is the lowest common multiple of (30/(-11))/((-194)/12804) and 324?
1620
Let m(b) = 49*b**2 - 2*b. Let a be m(-1). Let d = a - 44. Calculate the least common multiple of 22 and ((-36)/d)/(14/(-49)).
198
Let u = -468476 - -194886119/416. Find the common denominator of -5/48 and u.
1248
Let s(i) = -11*i**3 - 155*i**2 - 9*i + 90. What is the least common multiple of s(-14) and 16?
80
Let y be (-2 + 8 + -1719)/(1418/66194). Let t = -79965 - y. Let b = -40775/31196 + t. Find the common denominator of 99/10 and b.
220
Let y(p) = p**3 - 155*p**2 + 3353*p + 133. Calculate the lowest common multiple of 296 and y(129).
296
Let q = -181 + 188. Suppose 4*i - q*n = -6*n + 91, 5*i + 4*n - 140 = 0. Calculate the smallest common multiple of i and 6.
24
Let r = 123009/30380 + 3/3038. What is the common denominator of -19/1020 and r?
1020
Suppose -81 = -8*j - j. Let n = 18 - j. What is the common denominator of 5/8 and -3 - (182/36 - 2/n)?
24
Suppose 2*q + 10 = 2*z, -3*q = 4*z + 11 + 4. Suppose -2*n - 2*s + 620 = z, -3*n + 944 = -15*s + 11*s. What is the smallest common multiple of n and 8?
312
Let a(j) = -4*j**3 - 65 + 2*j**3 - 10*j**2 + 3*j**3 + 14*j + 32*j**2 - 27. What is the lowest common multiple of a(-21) and 44?
220
Let q(i) = i**2 + 8*i + 13. Let b(y) = 2*y - 10. What is the smallest common multiple of q(-2) and b(7)?
4
Let w be 11/(-3) - -3 - (-2584186)/6. Let a = -4765269/11 + w. Let c = 2505 + a. Calculate the common denominator of -28 and c.
11
Let k = 838 + -866. Find the common denominator of ((-7)/((-3675)/(-9)))/(k/(-455)) and -93/20.
140
Find the common denominator of 145/18 and 78/39*(3729/6372)/(-11).
1062
Let m(o) = -2*o**2 - 97*o + 90. Let u be m(-48). Let x be ((-26)/39)/(2/(-225)). Let h = u - x. What is the least common multiple of h and 33?
693
Suppose 0 = l - 5, 4*p - 8*p + 197 = -3*l. Suppose -4 = -2*f + 6. What is the least common multiple of f and p?
265
Let f = 6630 + -6620. Suppose -6*t + 11*t - 22 = 4*i, -2*i + t = 8. Let l(d) = -d**2 - 4*d. What is the least common multiple of f and l(i)?
30
Suppose -109 + 100 = -54*z + 369. Suppose -57 + 5 = -4*w. Let j = -3 + w. Calculate the least common multiple of j and z.
70
What is the smallest common multiple of (-57)/38 + (-8)/(80/(-1755)) and 6?
174
Calculate the common denominator of (3/170)/(2835/(-1890)) and -7/390.
6630
Calculate the common denominator of -16/195 and 174 + -170 + (-718)/165.
2145
Suppose 2*k = 3*z + 638, 762 = -4*z + k - 87. Calculate the common denominator of z/(-204) - 9/18 and -25.
102
Let w(d) = d**3 + 9*d**2 - 8*d - 3. Let k be w(-9). Suppose -5*h + 4*h = 5*y - k, -4*h = 4. Calculate the lowest common multiple of y and 36.
252
Let s be (-3 + (0 - -6))*(-8)/(-6). Suppose 12*j = 11*j - s. Calculate the smallest common multiple of 12 and (-1066)/(-13) - (j - -2 - -4).
240
Let w(t) = -2*t**3 + 11*t**2 + 9*t - 15. Let d be w(6). What is the common denominator of (d/(-24)*-1)/(150/(-4360)) and -79/51?
510
Find the common denominator of 57/8 and 17216/(-118016) - (-4)/16.
3688
Let v(t) = -6*t - 7. Let n = -21 + 18. Let i = -1406 - -1419. What is the smallest common multiple of v(n) and i?
143
Let u = -272 - -248. Find the common denominator of -1 + -8 - 4/(-24) and 4768/u*6/336.
42
What is the lowest common multiple of 2996 and (-4)/(-7) + -10 + 4*(-192272)/(-224)?
23968
Let c = 57870/13 - 4449. Let v be (-2)/(-4)*(6 + 12). Calculate the common denominator of 2/v - 53/9 and c.
39
Let a = -462 + 835. Let m = -287 + a. Calculate the lowest common multiple of 5 - (-1 - -4)/3 and m.
172
Let n = 23915774/349 - 1024573384345/14951858. Let d = n + -130/691. Let i = 6241/4 - 1577. Calculate the common denominator of d and i.
124
What is the common denominator of 61/14 and (-3 + (-265)/(-90))*282/10?
210
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