 Let m = -13729/24 + t. Calculate the common denominator of 11/6 and m.
24
Suppose 4*p - 23 - 5 = 3*z, -4*z - 2*p = 52. Let q be -2*5/20*z. What is the least common multiple of 445/15 - q - (-1)/3 and 28?
168
Let v = 8785108316/5339243 - 2/410711. Let n = v + -706819/429. Calculate the common denominator of n and -32/75.
825
Let b be 2/(-5) + 921/(-60). Let u = 11/12 - b. What is the common denominator of 83121/8070 + ((-12)/(-15) - 1) and u?
30
Let r be 3 + 0 + (-1)/(-27)*86. Let y = -49/9 + r. Find the common denominator of 97/6 and y.
54
Let t(z) = z**3 + z**2 + 2*z - 1188. Let c be t(0). What is the common denominator of ((-1)/14)/(12/c) and 1/120?
840
Let x(y) = 8*y**3 + 3*y**2 + 62*y - 175. Let l(j) = j**2 + 3*j - 4. What is the least common multiple of x(3) and l(-6)?
1778
Let d be (2/(-80)*2)/((-24)/1059232). Let y = 2210 - d. Calculate the common denominator of 22/5 and y.
15
Let a be (5 - 5)*(2/(-4))/(-1). Let s(h) = h**3 - h**2 - h + 2. What is the least common multiple of s(a) and 16?
16
Suppose 5*f - 810 = 19*b - 24*b, 338 = 2*f - 5*b. What is the smallest common multiple of 52 and f?
2132
Suppose 30*l - 15*l = 12375. Find the common denominator of (-1)/(-3) + l/(-288) and 139/24.
96
Let o = 325 + -322. Suppose 2*k + 2*k - 124 = -2*s, o*s = -2*k + 170. What is the smallest common multiple of 78 and s?
702
Suppose 0 = 118*f - 117*f - 7. Suppose 0 = -q + 2*d + 36, 4*q - 2*d + f*d - 196 = 0. Calculate the least common multiple of 4 and q.
44
Let c = -64413947/1558644920 - -2/5566589. What is the common denominator of -53/2156 and c?
21560
Calculate the common denominator of (-18)/(-10)*11/4 and 472/2980*(-4 - 3*22/(-24)).
2980
Let j(g) = -g**3 + 13*g**2 + 72*g + 22. Calculate the least common multiple of j(-4) and 112.
336
Let c = 15312 + -76582/5. Let n = 2398 - 4811. Let o = -43465/18 - n. Calculate the common denominator of o and c.
90
Suppose -11426 = -4*y + 2*z, 6*z - 5708 = -2*y + 8*z. What is the least common multiple of y and 5?
14295
Suppose -19*k + 297 = -8*k. Let z = -4 - -9. Suppose z*v + 0*v - 135 = -5*u, -v - 5*u + 39 = 0. Calculate the least common multiple of v and k.
216
Let i(h) = -283*h + 1983. Calculate the lowest common multiple of 17 and i(7).
34
Let c(o) = -234*o - 8034. Calculate the smallest common multiple of c(-45) and 384.
4992
Let q = 69 - 73. Calculate the common denominator of -13/30 and 350/78*1 + 1 + q.
390
Let x be (-8)/96*-4 + (-323266)/374208. Let d = 42/1949 - x. What is the common denominator of -27/20 and d?
480
Let g = 2036 + -653554/321. Let r be (-4930)/1712*(-16)/(-12). Let i = g + r. Calculate the common denominator of -83/102 and i.
102
Suppose -2*h + 10 = -l, -2*h + 201*l - 206*l = -34. Calculate the lowest common multiple of 1819 and h.
12733
Let n = -1053844/65 + 16212. Calculate the common denominator of n and 5/(-80)*-4 + 357/(-60).
130
Let s = 18266 + -17002. What is the least common multiple of 4 and s?
1264
Let i(c) = 2*c**2 - 21*c + 8. Let v be i(9). Let y(p) = -9*p - 33. Let r be y(-7). Let d = r + v. What is the lowest common multiple of d and 7?
77
Let x = 52525 - 2836463/54. Calculate the common denominator of (2/(-18))/(10 - 1589/159) and x.
54
Suppose 127*d = 2*h + 129*d - 36, 0 = 4*h + 2*d - 66. Calculate the smallest common multiple of h and 15.
15
Let o = -118 + 127. Suppose 1760 = -o*m + 25*m. What is the least common multiple of m and 18?
990
Let r be ((81/15)/3)/((-9)/(-30)). Suppose -r*t + 4*t + 3*i + 19 = 0, t - 12 = 4*i. What is the least common multiple of 34 and t?
136
Let y = 90893/455 + 136/65. Let l = y + -21706/105. Find the common denominator of l and 41/7.
105
Let i(q) = -3*q + 33. Let r be i(-10). Suppose 62*h = r*h + 47. Let n = -37 - h. What is the least common multiple of n and 20?
20
Find the common denominator of (147*29/4466)/((-6)/(-11)) and (1/25*-82)/8.
100
Let m = -51 + 57. Suppose 2*v + m = 0, -4*b - 2*v + 0 = -46. Suppose -b*s = -17*s - 132. Calculate the common denominator of 13/21 and s.
21
Let t(s) = s + 19. Let j be t(-11). Suppose 0 = -0*x - j*x - 488. Let y = x + 65. What is the lowest common multiple of 8 and y?
8
Let u = -42121/17061 + 115/47. What is the common denominator of u and 87/968?
2904
Let x(a) = 26*a - 425. Let m(b) = -b + 34. Let v be m(11). What is the least common multiple of 8 and x(v)?
1384
Let j = 7611364/3411 - 20083/9. Find the common denominator of j and 61/30.
11370
Suppose -4*g - 28 = 0, -2*f = -4*f - 3*g + 15. What is the smallest common multiple of f and 9178?
82602
Let t be -1*2 - 30/(-6). Find the common denominator of (4 + (-222)/12)*4/(-3) and (-7 + t)*285/48.
12
Let p be 4/(-6) + (-28850)/84. Let f = 689/2 + p. What is the common denominator of 23/6 and f?
42
Suppose 28*l - 29 + 1 = 0. Let x(n) = n**2 + 2*n + 4. Let y be x(-3). Let k = 9 - y. What is the lowest common multiple of l and k?
2
Let f be (0 + 1)/1*28/14. Let p be 121 + (-2)/f - 0. Suppose 2*o + 3*o - p = 0. Calculate the lowest common multiple of o and 14.
168
Suppose -6 = 10*c - 16. What is the smallest common multiple of 12 and (-3 - (c - -1))/(41/(-246))?
60
Let i(g) = 9*g + 19. Let o be i(-2). Suppose 2*y = 13 - o. Calculate the lowest common multiple of 74 and y.
222
Let v = 573/10 - 2083/35. What is the common denominator of v and ((-2825)/1650 - (-10)/6)*10?
154
Let v(p) = p**3 + 31*p**2 - p - 21. Let w be 25/(-5) - -7 - 33. What is the least common multiple of v(w) and 30?
30
Let j(q) = q**2 - 28*q - 16. Let n be j(28). Let o(d) = -10*d - 151. Calculate the lowest common multiple of 87 and o(n).
261
Suppose -4*h - 20 = 3*v - 28, 5*h + 5 = 0. Suppose 48*u - 15 = 43*u. Calculate the lowest common multiple of u and v.
12
Let x = -211 + 202. Suppose 24 + 0 = 4*k. What is the least common multiple of -3*(-24)/(-27)*x and k?
24
Let n be -221 - (5 - -7 - 9). What is the common denominator of -35/204 and (-4)/(-14) + (-1350)/n?
816
Let j = 9089/222 - 744/37. Let x = -555 - -590. What is the common denominator of (-69)/(-9) + 7/(x/(-30)) and j?
6
Let v(k) be the third derivative of k**3 + 0*k + 13*k**2 + 0 + 1/24*k**4. Calculate the least common multiple of 6 and v(12).
18
Let v(w) = w**2 + 15*w - 1044. Calculate the smallest common multiple of v(-41) and 1554.
17094
Let m = 6118 - 6041. What is the lowest common multiple of m and 672?
7392
Suppose 216 = 6*h - 324. Calculate the common denominator of (-3)/30*125/h and 103/36.
36
Let m(q) = 10*q + 9. Let a be m(-1). Calculate the least common multiple of 20 and 2/2 - (16 + 3)*a.
20
Find the common denominator of 127/540 and ((-6090)/(-189))/(95/(-15) - -1).
1080
Suppose -89*i + 94*i - 245 = -o, -5*o + 1393 = -3*i. What is the lowest common multiple of 1100 and o?
1100
Let j = -18301 + 494198/27. Let f = -604/9 - -10235/153. What is the common denominator of f and j?
459
Let o = -254936/3 + 91776893/1080. What is the common denominator of -53/90 and o?
1080
Let b = -82 - -86. Let d(g) = 15*g + 17. Let r be d(b). Let w = r - 57. What is the least common multiple of w and 32?
160
Suppose -27*y - 48 = -24*y. What is the least common multiple of 87 and ((-18)/24)/(-6 - 92/y)?
87
Calculate the smallest common multiple of 1632 and (6 + (-12 - -14))/1.
1632
Find the common denominator of (-12103)/4560 - -2 - (-2)/(-24) and -1/4.
80
Suppose 22*l = 1051 + 5. Calculate the lowest common multiple of 152 and l.
912
What is the common denominator of ((-2)/102)/(1403/(-4758)) and -139/36?
14076
Let s = -103066909/140 + 736199. Let z = s + -92/105. Calculate the common denominator of z and -32/33.
132
Let d = -56890 - -56905. Let o(m) = -m - 1. Calculate the smallest common multiple of d and o(-4).
15
Suppose 3*j - 24 = w + 89, -2*w = j - 40. Suppose -10646 = j*i - 39*i. Let c = -255641/24 + i. What is the common denominator of -41/27 and c?
216
Let a = -2/15809 + -1248903/63236. Find the common denominator of -63/40 and a.
40
Let k = -327075/64 - -5111. Find the common denominator of k and 65/56.
448
Calculate the least common multiple of 2127 and 1*3 + -452 + 470.
14889
Let q be 41758/24 - (-14)/(-21). Let t = 1748 - q. Suppose -6*u - 2*m = -u - 176, -5*u + 4*m + 158 = 0. Calculate the common denominator of u and t.
4
Suppose 32639*h + 35055 = 32658*h. What is the smallest common multiple of 7 and h?
12915
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