8) + (-2)/8. Let l = v + -265/14. Calculate the common denominator of (9/(-20))/(18/165) and l.
8
Let t = -94260 + 14893165/158. Let k = 262 - 261. Calculate the common denominator of t and (k*322/(-7))/(-4).
158
Suppose 8606 = -2*d + 5*m, -4*d - 2*m = 12091 + 5073. Let y be (51742075/(-484))/25 - 17. Let l = d - y. What is the common denominator of l and 77/20?
220
Suppose 5*k = 3*k + 132. What is the common denominator of -101/44 and (0 - 244/k)*(-3)/(-6)?
132
Suppose 0 = 137*i + 577 - 38803 - 13149. Calculate the smallest common multiple of i and 1050.
5250
Suppose 238 - 22 = -3*x. Find the common denominator of -5/54 and (-10)/x*(-697)/85.
108
Suppose 2*k + 19 + 35 = -2*u, -5*k - 2*u = 135. What is the least common multiple of (-252)/k*(-300)/(-35) and 144?
720
Let i(z) = -8*z**2 - z - 1. Let m be i(1). Let k(o) = -o**2 - 10*o + 10. Let u be k(m). Let q = 2 + u. What is the least common multiple of q and 9?
36
Suppose 7*p - 2*p = 0. Suppose 0 = -2*c - 5*g + 15 - 6, -3*c - 3*g + 27 = p. Let d = 1253 - 1213. What is the lowest common multiple of d and c?
120
Let m be (-13 - -11) + (-64)/(-4). Calculate the lowest common multiple of 186 and ((-42)/49)/(11/m - 1).
372
Suppose 48*k = 45*k + 444. Calculate the lowest common multiple of 36 and k.
1332
Suppose 5*a - 29 = -4, -5*a + 715 = -2*w. Let h = 1429/4 + w. What is the common denominator of ((-36374)/1456 - -23) + -1 + 4 and h?
56
Suppose 6*m - 109 = -61. What is the least common multiple of m and (-2)/(6/(-3)) + 9?
40
Let p = 51/7 - 254/35. Let t = 2517 + -88432/35. Let j = p + t. What is the common denominator of j and -25/11?
55
Let h = -3376/5 + 61063/90. Let o = -30799/14328 - -280/597. Calculate the common denominator of o and h.
72
Let s(b) = 4*b**2 + 7 + b**3 + 151*b - 151*b. Let f(j) = -j**3 - 4*j**2 - 3*j. What is the lowest common multiple of s(-3) and f(-5)?
80
Let t = -1012 + 3110. Suppose 2*f - t = -268. Find the common denominator of 4/(-18) + f/(-54) and -43/33.
66
Let t be -8 - 1 - 108/(-36). What is the smallest common multiple of 8 and t*((-77)/56 - 3/(-8))?
24
Let j(t) = -17*t + 223. What is the smallest common multiple of j(13) and 37?
74
Let n(l) be the third derivative of -l**4/24 + 5*l**3 + 11*l**2. What is the lowest common multiple of n(14) and 28?
112
Let q = 11794133/266 + -44339. Find the common denominator of -51/7 and q.
266
Let w = 3071 + -2264. Calculate the smallest common multiple of 21 and w.
5649
Suppose 2*o + 6 = 4*o. Suppose 7*p = o*p + 180. What is the smallest common multiple of 40 and p?
360
Let b = -189 + 259. What is the common denominator of 41/(-328) + b/(-144) + 1 and 97/22?
198
Suppose 2*c = 6*c - 80. Calculate the least common multiple of ((-90)/(-55) - 0)/(9/132) and c.
120
Let x = 87 - 53. Suppose -79 = -12*m + 5. Suppose 18 = -m*p + 88. What is the lowest common multiple of x and p?
170
Let p be (6987/9 + -8 + 5)*12. Suppose -7568 = 4*a + 2*n, -5*a - 182 - p = 3*n. Calculate the smallest common multiple of ((-2)/3)/(28/a) and 15.
45
Let p be ((-3 + 5 - 5)*-1)/1. Suppose p*a - 23 = 5*c + 1, 4*a - 32 = 5*c. What is the lowest common multiple of 13 and a?
104
Let q be (2/6)/(11/((-577467)/30)). Let y = q + 587. Calculate the common denominator of y and (-556)/(-160) + -3 - -1.
40
Let y(q) = -263*q - 82. What is the least common multiple of y(-2) and 518?
3108
Suppose 70*h - 3497 = -3004 + 17007. What is the smallest common multiple of h and 500?
500
Let j = 2295 - 13727/6. Find the common denominator of j and 151/1350.
1350
Let g(q) = q**2 + 17*q + 61. Let n be g(-11). Let d(j) be the second derivative of -j**3/6 - j**2/2 - 5*j. Calculate the smallest common multiple of 6 and d(n).
12
Let s be (-7)/21 + 2203/3 + 2. Suppose s = -3*g - 5*x, -3 = 5*x - 23. Find the common denominator of -3 + (-676)/g + 0 and -93/10.
630
Let m = -38 - -39. Let b be -1 + m/((-15)/(-12) - 1). Suppose -b*i + 3*u + 86 = 5*u, 2*i + 5*u - 61 = 0. Calculate the smallest common multiple of 2 and i.
28
What is the common denominator of ((-2)/948)/(360/3420) and -65/1659?
6636
Let t be 1 - (-9 - -4 - -2). Let x = -5 + 85. What is the least common multiple of 1/(t/x*4) + -1 and 9?
36
Let u = 1072723551/1846 + -581107. Find the common denominator of 47/6 and u.
5538
Let p = -7120 - -85349/12. Calculate the common denominator of p and (-87)/174*(-202)/68.
204
Let w = 2109 - 2010. What is the least common multiple of w and 144?
1584
Let w = 35765 - 35727. Let a = 17 - -23. Suppose u - a = -u. Calculate the smallest common multiple of u and w.
380
Let u be ((-28)/69848)/(-7)*4. Let i = 17684542880618519/139696 - 126593051198. Let p = i + u. What is the common denominator of p and 89/8?
16
Suppose 31*k = 106*k - 150. Calculate the least common multiple of 2*(1 + -3) - -5 and k.
2
Suppose -31860 = -293*h + 74*h + 241233. Calculate the least common multiple of 58 and h.
2494
Let i = -1/1183 - -55623/26026. Let b(w) = -12*w - 1. Let k be b(2). Calculate the common denominator of i and k*(-1 + (-12)/(-16)).
44
Let w = -13/1422 - -22817/7110. Find the common denominator of w and -20/11.
55
Suppose -334 = l - 1210. Let b = l + 112. Suppose k = -12*k + b. Calculate the lowest common multiple of k and 5.
380
Suppose -t + 170 = -4*o, o = t - 4*o - 170. Calculate the common denominator of (-134)/1474 - (-2074)/308 and 389/t + 1/(-5).
238
Let d = -8 - -58. Suppose -47*r + d*r - 180 = 0. What is the smallest common multiple of 24 and r?
120
Let h = 5/97 + -5587/106506. Let y = -4919/24156 + h. Let d = 24449/16 + -1527. Find the common denominator of y and d.
176
Suppose 5 = -4*d - 5*x, 492*d = 496*d - 3*x - 35. Calculate the least common multiple of 6 and d.
30
Let y(n) = -42*n**2 + 5*n - 2. Let p be y(-3). Let u = 641 + p. Calculate the least common multiple of u/10 - (-15)/(-25) and 3.
24
Let h = -341/80 + 611/240. Find the common denominator of -27/1130 and h.
6780
Let i = 91 + -42. Find the common denominator of (-2)/604*i - 6/(-24) and 85/12.
1812
Let x(g) = -2*g**2 - 48*g + 65. Let u be x(-24). Suppose 0 = -z - 5, 0 = -4*q - z + u + 10. What is the lowest common multiple of 42 and q?
420
Suppose 2*f = f + 17. Suppose -v + 23 = f. Let p = -15 + 21. What is the least common multiple of v and p?
6
Let g be ((-66)/8)/((-70)/64 + 1). Suppose -62 = -10*a + g. Let y(p) = p**2 - 13*p + 6. Calculate the least common multiple of 20 and y(a).
180
Let d = 4 - 3. Let g = d + 0. What is the smallest common multiple of g and (168/144)/((-21)/(-126))?
7
Let w(f) = -7*f + 38. Let z be w(-15). Suppose 180 = -138*n + z*n. What is the lowest common multiple of n and 40?
360
Let g = -2922223/50 - -58442. Calculate the common denominator of ((-20)/(-9))/(22/165) and g.
150
Let b = -60 - -14. Let w = b + 58. Calculate the least common multiple of 18 and w.
36
Let k(r) = r**2 + 2*r - 542. What is the lowest common multiple of k(-32) and 143?
5434
Let q = 2635 - 1334. Suppose 0 = -20*a + q + 459. Calculate the least common multiple of a and 40.
440
Suppose 9*l - 12*l - 114 = 0. Let g be -4*3156/(-176)*l/6. Let f = -458 - g. Calculate the common denominator of f and -40/11.
11
Let x = -8661/74 + 1368805/666. Let c = x - 1935. Let a = 5040 - 292311/58. What is the common denominator of c and a?
522
Suppose 23*n - 126*n = -16995. What is the smallest common multiple of n and -1*2*77/(-22) + 0?
1155
Suppose 4*w = -i - 16, -3*w - 187 = 5*i - 39. Let q = i - -39. What is the common denominator of 73/12 and q/(-2)*(0 - 2/(-22))?
132
Let q = -17619 + 17623. What is the least common multiple of q and 1894?
3788
Let m = -74 - -80. Let f be (-21)/(-7)*(-2)/(-3). Suppose 0 = 5*j - f*k - 59, 3*k + m = -0. Calculate the smallest common multiple of j and 2.
22
Let z = -53/12 + 1009/60. What is the common denominator of z and (-4)/8 - (-46)/4?
5
Let l(i) = -i - 3. Let o be l(-17). What is the lowest common multiple of 30 and o - (-1 + 3)*(-11 + 9)?
90
Let v = -1245087758141/205898892 - 2/17158241. Let x = -6059 - v. Find the common denominator of x and -89/2.
12
Let w(i) = i**3 - 12*i**2 + 2*i + 3. What is the smallest common multiple of w(12) and 2 + (-10 + 14 - -21)?
27
Let x be (-2 - 1)/(3/(-12)). Suppose 0*t = -t + f + 18, t + 2*f - x = 0. Suppose -7*b - b + t = 0. Calculate the least common multiple of b and 9.
18
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