105
What is the lowest common multiple of 12 and 2/(2/(-27))*(-170 + 158)?
324
Let o = 692 + -2669/4. Calculate the common denominator of o and 43/12.
12
Suppose -2*t = -5*c + 778, -5*c + 672 = t - 109. Let b = c + -135. Calculate the smallest common multiple of 27 and b.
189
Let z be 1801/8*(-4)/(-2). Let o = -444 + z. What is the common denominator of ((-1)/6)/(4/(-304)) and o?
12
Let o be 13 - 2*1/2. Let n be o/(-1*(-3 - -1)). Let g = 4 + n. Calculate the least common multiple of g and 1.
10
Suppose -4*f = -5*w - 58, -22*w + 20*w + 56 = 5*f. Suppose g - 524 = -g. Calculate the smallest common multiple of g and f.
1572
Let n = 12367 + -853348/69. Calculate the common denominator of n and -119/60.
1380
Let b be 2/9 + (-260)/(-45). Suppose 0 = x - b - 1. Suppose -4*m + 19 = x. What is the least common multiple of m and 6?
6
Suppose 24*c - 5*u = 19*c + 325, -c = -2*u - 67. What is the lowest common multiple of 99 and c?
693
Let o = -173857/54 - -6435/2. Calculate the common denominator of -53/54 and o.
54
Let a(z) = 2*z**2 + 44. Let d be a(0). Suppose 0 = 3*g + g - d. Calculate the least common multiple of g and 7.
77
Let j = -524/21451 + 778070705/879491. Let o = 885 - j. What is the common denominator of -7/5 and o?
205
Suppose 8 = 5*g - 42. Let k be (20/2 - 1)/1. Let u = k + -5. What is the lowest common multiple of g and u?
20
Suppose 3*w + 27 = 6*w. Calculate the common denominator of 3/w - (-2639)/(-1428) and 13/16.
272
Suppose -h - 3*h + 16 = 0. Suppose 7*j - 82 = 2. Suppose 3*d - 2*w - 14 = 20, -2*d = 4*w - j. Calculate the smallest common multiple of h and d.
20
Let m = -1 - 5. Let y(g) = -g**3 - 6*g**2 - 2. Let n be y(m). What is the lowest common multiple of -1 + 3 - n*16 and 6?
102
Suppose 0 = -5*i - 0*h + 5*h + 15, -3*i + 2*h = -10. What is the least common multiple of i and (-210)/(-45) - (2 + 4/(-3))?
4
Let c = 49970 - 2248741/45. What is the common denominator of -101/50 and c?
450
Let b = -80 + 87. Let s be (-7 - -8)/(2/8). Suppose s*f - 37 + 5 = 0. Calculate the least common multiple of f and b.
56
Let q = -6/1945 - 61982/83635. Find the common denominator of q and -39/5.
215
Let h(y) = -y**3 - 29*y**2 - 52*y + 61. Calculate the least common multiple of 42 and h(-27).
42
Let o = 31583/90993 - 2/12999. What is the common denominator of o and 85/56?
392
Let a be (0/(-3))/5 + 5. Let h = 26 - 10. Let n = h - a. Calculate the smallest common multiple of n and 8.
88
Suppose 4*u = -21*u + 5100. Calculate the lowest common multiple of u and 24.
408
Suppose 0*r + 11*r = 176. Calculate the smallest common multiple of r and 40.
80
Calculate the common denominator of -39/4 and (-356)/(-8)*5/80.
32
Let c be (2 - 0) + (-1427994)/30060. Let j = 4/835 + c. Calculate the common denominator of 46/3 and j.
6
What is the smallest common multiple of 99 and 432/(-32)*((-16)/3)/4?
198
Suppose -14*s + 36 = -12*s. What is the smallest common multiple of 4/(-7)*(-819)/18 and s?
234
Find the common denominator of -119/60 and 16/72*356/(-80).
180
Let s = 4351/24 - 572/3. Find the common denominator of -105/68 and s.
136
Let w = 23415/15343 - 182/229. What is the common denominator of w and -22/9?
603
Let p = -1806 - -1809. Calculate the lowest common multiple of p and 627.
627
Let o = 432128474/155 - 2787913. Let x = 21/62 - o. What is the common denominator of x and 99/8?
40
Let s = 229223626661/96908930760 - 1/42503917. Let a = s + -15/152. Find the common denominator of a and -40/9.
45
Suppose 0 = -f + 3*f - 22. Let w(r) = -r**3 - 1. Let b be w(-1). Suppose 2*c + b*c - 8 = -4*q, 10 = c - q. What is the smallest common multiple of f and c?
88
Suppose 2*j + 8 = 0, 4*x - 296 = -4*j + 3*j. Suppose -6*v + x = -v. What is the least common multiple of v and 27?
135
Suppose c - 22 = -c. Suppose 3*f - 6 = 2*f. Suppose m - f = -t, -3*m + 11 = 5*t - 3*t. Calculate the least common multiple of t and c.
77
Suppose 5*p + 305 = -500. Find the common denominator of (156/910)/((-4)/p) and -35/22.
110
Suppose -32*d = -28*d - 24. Let m = 11 - 7. What is the least common multiple of d and m?
12
Suppose 5*g - 5*b = 72 + 33, -4*b = -g + 12. Calculate the smallest common multiple of 96 and g.
96
Let h be (132/(-36) + (0 - -3))*-3. What is the smallest common multiple of 2 and 172*(h - 6/4)?
86
Suppose l + o = -l + 32, l - 25 = -5*o. Suppose 85 = 4*c - 3*x + 10, -3*x - l = 0. Calculate the lowest common multiple of c and 7.
105
Suppose 0 = 3*p + 5*z - 18, 0 = 2*p - 5*p - z + 18. Suppose 0 = -5*b - k + 48, 9*b - 5*b + 5*k - 30 = 0. What is the least common multiple of b and p?
30
Suppose 0 = 3*n + 4*q - 32, -q = -5*n - 0 + 15. Calculate the lowest common multiple of n and (117/(-65))/(6/(-40)).
12
Let s(m) = -m**2 - 10*m + 3. Suppose 2*g = -3*j - 14 - 16, -g = 5*j + 50. Calculate the lowest common multiple of 5 and s(j).
15
Suppose -u - 14 = -3*u + 2*f, -2*u + f = -16. Calculate the common denominator of u/22*111/9 and 101/6.
66
Let b(i) = -i + 0*i + 5*i - 2*i. Calculate the least common multiple of b(1) and (-4)/6*(-33)/1.
22
Find the common denominator of 720/11808*((-106)/50 + 0) and -17/287.
2870
Suppose 3*m - 6*m = 4*v - 25, 3*v = -4*m + 24. Let k be (20/m)/((-1)/(-3)). Suppose k = 3*o - 4. What is the smallest common multiple of o and 4?
8
Let t be (14/(-35))/((2/20)/(-1)). Find the common denominator of 145/12 and 30/(-4)*((-5)/(-3) - t).
12
Let w = 85 + -49. Suppose 3*c - w = 48. What is the lowest common multiple of c and 18?
252
Let q = -40175/36 - -1116. Find the common denominator of 8/(-20)*110/(-8) and q.
36
Let r = -273253/24 - -11383. Find the common denominator of 55/21 and r.
168
Let b be (-2)/(-8) - (-343)/(-12). Let t = b - -32. Find the common denominator of t and 78/8 + 2/(-8).
6
Let u = 22331471/120 + -186097. Calculate the common denominator of -67/60 and u.
120
Suppose 65 + 43 = 9*o. Calculate the smallest common multiple of o and 26.
156
Calculate the lowest common multiple of 33 and (14/6)/(5/45).
231
Let b = 1127047/66954 + 2/11159. Find the common denominator of -21/22 and b.
66
Suppose 294 = 11*r - 4*r. Let k = -45 + 47. Calculate the smallest common multiple of r and k.
42
Suppose 5*b + 43 = -47. What is the common denominator of -27/11 and ((-4)/b)/((-18)/108)?
33
Let i(s) = 3*s**2 - 8*s + 3. Let d be i(3). Let j = 5777 + -46277/8. What is the common denominator of j and (-136)/d - 11/(-22)?
24
Suppose k - 24 = -2*s + 3*k, -4*k + 36 = 3*s. Suppose 5*v = 8*v + 9. Calculate the common denominator of -27/8 and 387/s*v/(-9).
8
Let h = 2/1447 - 1459/8682. Calculate the common denominator of h and 133/48.
48
Let i = -58 - -58. Let s(v) = 2*v**2 - v + 23. What is the lowest common multiple of (-1 - 0)*-1*2 and s(i)?
46
Let u(p) = -41*p - 14. What is the least common multiple of 33 and u(-1)?
297
Suppose -2*f + 3*c = -101, 2*f + 4*c - 212 = -2*f. Suppose 2*q + f = 60. Let w = -14 + 21. Calculate the least common multiple of q and w.
28
Let m = -6 + 9. Suppose 53 + 67 = m*g. What is the smallest common multiple of g and 32?
160
Let j = -139 + 144. Suppose 3*o - 3*z - 45 = 0, -j*o + 23 = 5*z - 32. Calculate the smallest common multiple of 10 and o.
130
Let o(j) = 99*j + 18. Calculate the least common multiple of 168 and o(2).
1512
Let h(o) = -o**2 + 6*o + 6. Let s be h(8). Let y = -2 - -2. Calculate the smallest common multiple of 1 and s*((-3)/5 - y).
6
Let w = -9493/8 + 1180. Let h(p) = -2*p + 4. Let i be h(6). What is the common denominator of 42/i*6/(-27) and w?
24
Let w = -2941490/7 - -841188167/2002. Let q = w + 527/13. Calculate the common denominator of q and 2/20*(-1010)/12.
132
Let j = -9 + 10. Suppose 15 = 4*n - j. Suppose n*f - 28 = 52. What is the lowest common multiple of f and 12?
60
Suppose 8 + 22 = 5*o. Suppose j = o*j - 15. Suppose -5*f + 5*l = -20, j*f + 2*f = 2*l + 26. Calculate the lowest common multiple of 4 and f.
12
Suppose 74 = 4*n - 1830. Suppose 2*a - 5*o = -n - 409, -5*o = 4*a + 1755. Calculate the common denominator of a/(-16)*(-2)/(-8) and 69/14.
56
Let f = 288058/265 + -1087. Let n be (4/42)/((-1060)/(-2259)). Let p = f + n. What is the common denominator of -17/16 and p?
112
Let h = 45 - 1. Suppose -h = -0*g - g. What is the smallest common multiple of (13/(-52))/((-1)/g) and 5?
55
Let h = -129 - -139. Let x(k) = k**2