0. Let q = 25835/8 - k. Find the common denominator of y and q.
8
Let v(z) = -3 - 2*z + 0*z + 128*z**3 - 179*z**3. Let w be v(-1). Suppose w = 6*g - g. Calculate the least common multiple of 18 and g.
90
Let i(g) = 3*g**2 + 17*g + 3. Suppose -11*r + 5*r = 36. What is the lowest common multiple of i(r) and 64?
576
Let y = 418 - 417. Suppose -2*l + 3*f + y + 24 = 0, -4*l + 2*f = -38. What is the smallest common multiple of 22 and l?
88
Let f be -1 - (25/2)/((-16)/(-928)). Let r = -2787/7 - -61881/154. What is the common denominator of ((-2)/6)/(24/f) and r?
132
Let x = -13287/8 - -1663. Let j be (70/(-49) + 2)/(2/7). Calculate the common denominator of j - (-4 + (-15)/20) and x.
8
Suppose -16*i = -46*i + 30. What is the common denominator of 61/60 and ((-350)/96 - i) + (-32)/(-8)?
240
Suppose -4 - 2 = 2*a + 3*s, 2*a + s + 2 = 0. What is the lowest common multiple of 15*(440/300 + 4/(-6)) and 8/(-2)*(-7 + a/(-5))?
84
Let y(l) = l**3 + 11*l**2 - 2*l. Let n = 103 + -98. Suppose n*u - 56 = 54. What is the smallest common multiple of y(-11) and u?
22
Suppose 6*u - 189 = 3. Let g = u - 27. Suppose -9*p = -g*p - 32. What is the smallest common multiple of p and 27?
216
Let p = -255485 + 162743884/637. Find the common denominator of p and -2/1001.
7007
Let v = 2/5299 + 439777/105980. What is the common denominator of v and -89/158?
1580
Let f = -3687/700 - -1/2100. Suppose -l + 3*l = 1196. What is the common denominator of f and 6/(-21) + l/231?
165
Suppose 0 = -1668*k + 1648*k + 180. What is the least common multiple of k and 1139?
10251
Let u = 7654187564735/389343108 - -243/2949569. Let d = 19659 - u. Find the common denominator of d and -169/120.
1320
Let a = -702789/62141618 + 204/10703. Find the common denominator of 45/4 and a.
11612
Suppose 2*i = i + 2. Suppose -3*q - 12 = 0, 94 = 25*g - 22*g + 2*q. What is the smallest common multiple of i and g?
34
Let o(g) = -3*g**2 - 45*g + 17. Let l be o(-15). Let z = 10 + l. What is the least common multiple of z and 57?
513
Suppose 41717 = 4*k - 5*v, 0*v + 41729 = 4*k - v. Calculate the lowest common multiple of 10 and k.
104330
Suppose 4*f + 3*p - 230 = 0, f - 215 + 157 = -p. Calculate the least common multiple of 322 and f.
1288
Let q be ((-1)/(-2))/((-3488)/(-64)). Let h = q + 2479/3052. What is the common denominator of h and -7/44?
308
Let c = 135 + 277. Suppose -1304 - c = -12*i. What is the smallest common multiple of i and 117?
1287
Suppose -2*p = -2*i + 5*i - 20, 20 = 2*p - 4*i. Suppose 15 + p = 5*n. Suppose 4 = -5*y + 4*h + 5, -1 = 4*y - n*h. What is the lowest common multiple of 1 and y?
1
Let l be (-12)/(-9)*(5054/11 + 2). Let u = 163939/264 - l. Let y = 6443/8877 + 33/269. Find the common denominator of y and u.
264
Let v(t) = -t**3 - 7*t**2 - 2*t + 23. Let n be v(-7). Let d = 38 - n. What is the common denominator of (915/125 - d)/(4/5) and 11/3?
30
Let v = 722 - 1574. Let n = v + 15331/18. Find the common denominator of -81/8 and n.
72
Let c(u) = -u**3 + 18*u**2 - 17*u + 18. Let k be c(17). Let a = -19 + k. Calculate the common denominator of -43/6 and a + 48 + (-8)/(-4)*-1.
6
Find the common denominator of (6/(1764/1155))/5 and 69/5332.
37324
Let z be 8/(5/10 + -1). Find the common denominator of (-5 - -3)/(24/109) and (-170)/z - (-4)/16.
24
Suppose n = 27*h - 25*h + 446, 4*n - 5*h - 1769 = 0. Calculate the lowest common multiple of n and 2.
436
Let x be (-2 + 5)/((-2)/2). Suppose -2*j = 3*z - 91, 5*z + j + 175 = 315. What is the smallest common multiple of -3*x/z + (-208)/(-6) and 5?
35
Let o = -342/29 - -376229/31900. Let w = o + 68197/3300. Calculate the common denominator of (-144)/(-648)*(-357)/16 and w.
24
Let x = 237420950/427 - 33407283259484/60082743. Let f = x - 2/2759. Calculate the common denominator of -79/18 and f.
306
Let t = 2409 - 3791. Let d be 110610/(-80) - ((-1 - -1) + -3). Let q = d - t. Find the common denominator of q and 73/4.
8
Let x = 246149/7234320 - -23/7010. What is the common denominator of x and 85/12?
2064
Let t(z) = -z**3 - 2*z**2 - z - 1. Let x(i) = 6*i**3 + 25*i**2 + 44*i + 17. Let m(y) = -5*t(y) - x(y). Calculate the lowest common multiple of 16 and m(-12).
48
What is the common denominator of (186/2200)/(360/300) and 67/440?
440
Let t(m) = -5*m**2 - 35*m + 10. Suppose -p - 1 = 5. What is the smallest common multiple of t(p) and 4?
40
Let w = -11829354 + 236537419/20. Let s = w - -2484. Calculate the common denominator of s and 51/10.
20
Suppose 7*m + 267 = 750. Let z = m - 59. Suppose 88 = 22*o - 18*o. Calculate the least common multiple of o and z.
110
Suppose -108*b + 1485 + 459 = 0. Let h = 37 + -15. What is the smallest common multiple of b and h?
198
Let k = 114 - 823/6. What is the common denominator of k and (-16260)/(-420) + (-25 - 14)?
42
Suppose 0 = 6*t - 2*t + 4*i - 44, -2*t - 5*i + 31 = 0. Suppose 2*j = s - 50, -4*s - 12*j = -t*j - 164. Calculate the smallest common multiple of 55 and s.
220
Let i = 5674045/807 + -7031. Find the common denominator of i and -25/6.
1614
Let p = 418915591/5601 - 74793. Let j be (125/60)/((-33606)/47192) + 5. Let a = j + p. What is the common denominator of 62/9 and a?
27
Let u be 104476/20 - (-12)/(-15). Let a = u - -6325. Let i = -866078/75 + a. Calculate the common denominator of i and 125/12.
300
Suppose 4*o + 5*a = 45, -8*a - 35 = -3*o - 13*a. Suppose k - 81 = -5*v, 4*v + 0*v = 2*k + 62. Calculate the least common multiple of v and o.
80
Let x = -106920790/17 - -6287612. Let k = 278391/68 + x. Let l = -2233 + k. Calculate the common denominator of l and 51/40.
40
Let h = 197 + -309. Find the common denominator of 299/h + 3/(-21) + 4 and -29/30.
240
Let i = -148 - -148. Find the common denominator of (((-438)/2)/(-3 - i))/(-966) and -7/20.
9660
Let z = -64 - -68. Suppose 3*y - z = 4*k - 17, 2*k - 7 = y. Calculate the common denominator of -41/10 and (32/3)/k*(-23)/12.
90
Let t(p) = -p**2 + 67*p + 2816. Calculate the lowest common multiple of t(96) and 1312.
1312
Let h be ((-1)/8)/(12*6/(-387)). Let j be (-7338)/(-22)*(-5)/960. Let y = h - j. Calculate the common denominator of y and 65/6.
66
What is the common denominator of -119/40 and (-30416)/4960 + 5 - 12/(-9)?
3720
Let a = 606248509/61068 + 86684/2181. Let l = a - 9966. Find the common denominator of 151/24 - 2/(-6) and l.
56
What is the common denominator of ((-6)/32)/((2565/(-3492))/(-19)) and 23/3*(-6)/20?
20
Let j = -23 - 13. What is the common denominator of -95/14 and (0 - j/8)*(-14)/60?
140
Let p(c) = -c**3 - 15*c**2 - 13*c + 21. Let f be p(-14). Let i be 20520/f - (5 + -8 - -1). Let l = i - 2941. Find the common denominator of l and 151/18.
126
Suppose 60*l - 2904 = 58*l + n, -2*l = 3*n - 2904. Calculate the lowest common multiple of 30 and l.
7260
Suppose -6*s - 9 - 27 = 0. Let n be ((-2)/s)/(5/(-15)). Calculate the common denominator of 87/11*n*(-5)/(-45) and 76/27.
297
Let y = 6026479/642 - 9387. What is the common denominator of -29/36 and y?
3852
Let q = -214 + 383. Suppose -13*n + q - 13 = 0. Suppose -25 = -5*i + 20. Calculate the least common multiple of i and n.
36
Suppose 4*g + 1448 = -4*a, -6*a + 2*a = 5*g + 1448. Let x = 43651/26872 + 2/3359. What is the common denominator of (-6)/(-15) + a/180 and x?
72
Suppose 4*o - 16 = 2*o. Let z be (-7)/(-14) - (-9)/2. What is the smallest common multiple of o and (-2 + z + (-7)/3)*18?
24
Let n = -8602 - -8626. Calculate the lowest common multiple of 858 and n.
3432
What is the common denominator of -27/4 and (-3)/(-452)*(40 + -44)*(-130)/(-564)?
21244
Suppose -11*b + 17617 = -5273 + 3145. Calculate the smallest common multiple of 1 and b.
1795
Suppose 19 = -5*h + 34. Suppose 4*q - 3*p - 17 = 0, q - h = -2*q - p. What is the smallest common multiple of q and -4*(2*(-5)/20 + 0)?
2
Let r = 656/5 - 135. Calculate the common denominator of r and (2085/210)/((-210)/(-49)).
60
Let s = 415 - 337. Let o = -15 + s. What is the lowest common multiple of 49 and o?
441
Let o = 1590 + 306. What is the smallest common multiple of o and 48?
3792
Let m(x) = -2*x**3 - 11*x**2 - 16*x - 12. Let i be m(-5). Calculate the common denominator of (8/(-6))/(-16 + i/4) and -82/21.
63
Let o = 12/1105 + -9109/4420. What is the common denominator of o and 37/2432?
12160
Suppose 3*x - 3*w = 0, x + w + 1 - 9 = 0. Let l b