 is the common denominator of g(k) and -31/6?
6
Let u = 352 - 75. Let r = -571/2 + u. Calculate the common denominator of (30/(-100))/(-5 - 2368/(-476)) and r.
10
Let t = -123/104 + 680483/575016. What is the common denominator of 11/2619 and t?
49761
Calculate the common denominator of ((-11643)/(-2910) - 4)/(-17 + (-26128)/(-1520)) and 67/24.
6984
Suppose 4*i + 5 = -5*a + 4, 5*i = 3*a - 29. Suppose d + a*d = 20. Let u(y) = y**2 + 17*y + 9. Calculate the lowest common multiple of d and u(-17).
45
Let u = 116/695 - -59059/66720. What is the common denominator of -67/24 and u?
96
Calculate the common denominator of (395/(-15) + -10)/6 and -1/2432.
21888
Let n = -32 - -139. Let v = 198 - n. Let d = -52 + v. Calculate the common denominator of -1/8 and d.
8
Suppose -3*n = 2*n + 4110. Calculate the common denominator of 1/(-14)*n/(-36) and -33/49.
588
Let n be ((-1)/(-3))/(-3 + (-275)/(-90)). What is the least common multiple of -3 - -3*n/(-18) - -10 and 64?
192
Suppose 0 = -5*u - 5*p, -p - 8 = -4*u + 2. Let o(n) = -531*n + 4254. What is the least common multiple of o(8) and 2*u/(-4) - -2?
6
Suppose 90 = b - 2*z + 28, b = -5*z + 13. Calculate the least common multiple of 102 and b.
816
Let j = -2737760/189 - 158460217/34776. Let m = j - -19042. What is the common denominator of -77/20 and m?
2760
Suppose -7*r + 149*j - 150*j + 120 = 0, 4*r + 3*j - 88 = 0. Suppose -3*l + 454 + 188 = 0. What is the smallest common multiple of l and r?
1712
Suppose 113 = 14*o - 364 - 83. What is the lowest common multiple of o and 208?
1040
Suppose 0 = -2*p - 2*k + 130, -6*p + 313 = -p + k. Let s(d) = d**2 - 7*d + 6. What is the lowest common multiple of s(8) and p?
434
Suppose -3*x = 4*q - 143 + 98, 0 = -5*q + 3*x + 63. Calculate the lowest common multiple of 753 and q.
3012
Let z = 427615 + -19253308/45. Let w be (-3652)/33*21/10. Let s = z - w. Calculate the common denominator of 76/3 and s.
9
Let t = 3217427279569/92808 - 34667564. Find the common denominator of 67/10 and t.
464040
Suppose 600*m = 18810 + 627465 + 220725. Calculate the smallest common multiple of 1105 and m.
18785
Suppose 36*m - 655 = 41*m. Let y = m - -153. Suppose -3*i = -3*d + 48, -2*d + 7 = -3*i - 27. Calculate the smallest common multiple of d and y.
154
Let z(g) = -8*g**2 - 4*g. Let v be z(-2). Suppose n - 10 = -0*n. Calculate the lowest common multiple of 3 + -4 - v - -1 and n.
120
Let t = 343 + -87. Suppose 5*x - t = 179. What is the lowest common multiple of 20 and 3 - (1/3)/((-1)/x)?
160
Suppose -p + 2 = 0, -3*p + 0*p + 1056 = 5*s. Let g = 219 - s. What is the smallest common multiple of 6 and g?
18
Suppose 3*t - 5*j = 180, -5*j = -2*t - 3*t + 290. Suppose 6*x + 13 = 4*x + 5*d, -t = -5*x - 5*d. What is the smallest common multiple of x and 14?
42
Let q = -318 - -182. What is the common denominator of (2350/(-165))/(-5) + 3*-1 and (-16)/q - 961/510?
330
Suppose -3*a + a - 3*x = -34, 3*a - 2*x - 25 = 0. Let b = a - 9. Suppose 5*t + b*t = 140. Calculate the lowest common multiple of 12 and t.
60
Let s be (1 + 1)*(-3 + (-124)/(-8)). Find the common denominator of s/4*64/(-608) and 61/8.
152
Suppose 6181 = 8*z + 61. Calculate the least common multiple of 306 and z.
1530
Suppose -2*a - 5*y = -1452, 0 = -5*a - 14*y + 9*y + 3660. What is the least common multiple of a and 14?
5152
Let z = -29984/1551 - 2/1551. What is the common denominator of 109/2070 and z?
2070
Let r be 102/(-357) + 1/((-56)/(-34351)). Let q = r - 616. Let j = -2327/352 + 69/32. Find the common denominator of j and q.
88
Let n = -282 + 290. Let y be (-2 + -1 + 10)*-1. What is the smallest common multiple of 592/14 + 2/y and n?
168
Let v = 17179 + -463898/27. What is the common denominator of v and (598/(-455))/((-2)/10)?
189
Let o be (-78)/(-9) + 20/(-30). Calculate the smallest common multiple of 44 and o/6 + 624/72.
220
Let a(h) = h**3 - 15*h**2 - 29*h + 9. Suppose -93 = -9*n + 60. Calculate the least common multiple of a(n) and 1.
94
Suppose -5*v = 904 + 1456. Let k = 11315/24 + v. Find the common denominator of 47/12 and k.
24
Let i = 0 + 4. Let r(o) = o**3 - 2*o**2 - 7*o. Let q be r(i). Find the common denominator of 26/4 - (-4 + 1 + q) and -3/14.
14
Let i(n) = n**2 - 84. Let h be i(0). Let p = h + 84. Calculate the common denominator of -5/11 and -18*(-21)/45 - (0 - p).
55
Let w(l) = l**3 + 11*l**2 - l - 3. Let y be w(-11). Let q be ((-3)/(-4))/(6/y). Suppose -3*x - q + 145 = 0. Calculate the lowest common multiple of x and 14.
336
Let f(r) = -r**2 - 26*r - 134. Let d be (-2 - -1)*(-10)/(-1). What is the smallest common multiple of f(d) and 1?
26
Suppose -10*q = -8*q - 22. Suppose 65 = q*m - 100. Calculate the least common multiple of m and 48.
240
Let y = 112586398599772578 - 307524343628141613044789/2731452. Let r = y + 15/227621. Let m = 1605 - r. Calculate the common denominator of 67/8 and m.
24
Let h be (-30)/20*190/(-3). Let u = -93 + h. Suppose u*t = -29 + 41. Calculate the smallest common multiple of 18 and t.
18
Let g(i) = 2*i + 3. Let h be g(4). Let r(o) = 6*o - 54. Calculate the lowest common multiple of r(h) and 30.
60
Let o = 3853449/62 - 62154. Let x = 16757/10 + -1670. Find the common denominator of x and o.
310
Let m = -86 - -89. Suppose 7*j + 2*o - 24 = m*j, -5*j + 36 = o. Calculate the smallest common multiple of 36 and j.
72
Suppose -2*k + 5*h + 3 = -6*k, -2*h - 18 = -4*k. Find the common denominator of -55/14 and 15/k + (7 - 1115/30).
42
Let o(m) = 22*m**2 + 11*m - 6. Let u be o(4). Suppose -187*w + 192*w - u = 0. Calculate the smallest common multiple of 6 and w.
78
Let j be (-15455)/(-22)*(-143)/(-8). Suppose -8*b = -5*r - 6*b - 62759, r - 2*b = -12547. Let f = j + r. Find the common denominator of 47/6 and f.
48
Calculate the common denominator of 169/60 and 28/1512*(-430)/25.
540
Suppose 3*f - 2 = -2. Suppose -n + 3 = -3*a, f*n - 8 = -2*n + 4*a. Calculate the least common multiple of (4 - 7)/(3/(-76)) and n.
228
Calculate the common denominator of (-25 - (-14 - 17)) + 10652/(-1773) and 121/54.
10638
Let n = 31 + -25. Suppose 42 = -n*w - 30. What is the lowest common multiple of 3/w*-2*2 and 1?
1
Let f be -7 - (-2)/1 - -6. Let y = -4995 - -59867/12. Calculate the common denominator of y and f/(1/2) + 393/(-99).
132
Suppose 0 = 125*r - 110*r - 9405. Let d = -618 + r. What is the lowest common multiple of 2/6 - 52/(-6) and d?
9
Calculate the common denominator of 11/84 and (118*2/10)/(2 - (-40)/(-50)).
84
Let v = 10199/5 + -71343/35. Let u(c) = -c**2 - 4*c - 2. Let q be u(-2). Calculate the common denominator of (q/(-20))/(1/57) and v.
70
Let y be (-9)/1 - (-4 + 4). What is the common denominator of (2 + 10/(-4))/((-32)/304) and ((-6)/y)/(-4 + 692/183)?
20
Suppose 434 = -20*s + 22*s. Suppose -r = 4*x - s, -2*r = 13*x - 16*x + 171. What is the lowest common multiple of x and 15?
165
Let f be (-15)/(-204)*(-6)/(-33). Let c = 2911/935 - f. Find the common denominator of c and -2 + (-4543)/(-630) - 4/(-10).
90
Let s = 10/1221 + -12836/10175. What is the common denominator of s and -38/2625?
2625
Let f = -14/1427 - 75127/51372. Find the common denominator of f and ((-1887)/612)/((-16)/(-22)) + 4.
288
Suppose 3*v - 11 - 4 = 0. Suppose v*d - k = 4*d + 29, k = -d + 27. What is the least common multiple of d and (32/56)/(2/14)?
28
Let a(x) = 3*x**3 + 27*x**2 - 8*x - 12. Suppose -3*y + 5*y + 22 = 4*k, 3*k = -4*y - 33. What is the smallest common multiple of 54 and a(y)?
540
Suppose 2 = -0*k - k - 2*q, 4*k + 8 = 5*q. Let h be (-129)/(k - 1) - (2 + -1). Let d = -22 + h. Calculate the lowest common multiple of d and 2.
20
Let o = 47463 - 22544946/475. Find the common denominator of -77/30 and o.
2850
What is the lowest common multiple of (-67)/(-3) + 931/(-399) and 20?
20
Let f(b) = -3*b**2 + 14*b - 2. Let j be f(5). Calculate the least common multiple of 140 and ((-2156)/(-21))/j*(-42)/4.
1540
Let n = -328 + 333. Suppose 3*c + 20 = 4*i + 29, -3*c - n*i = -36. What is the lowest common multiple of c and 21?
21
Let s = -582319/1230 + 947/2. Calculate the common denominator of 49/5 and s.
615
Let y(u) = 3*u**2 + 19*u - 4. Suppose -5*r + 108 - 163 = -3*q, 39 = 2*q - 3*r. What is the lowest common multiple of y(-7) and q?
30
Let v(q) = q**2 - 48*q + 450. What is the least common multiple of v(12) and 2?
18
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