1. Let v be a(-2). Let i be d(v). Calculate the least common multiple of i/(-6) + (-520)/(-12) and 9.
396
Let b = 508 + -427. What is the common denominator of (-867)/b + 6 + 2 and 43/18?
54
Let q = -22977/806 - -3/403. Let n = -178/33 - -30/11. Let p = n + 196/15. What is the common denominator of q and p?
10
Let b = 133467/16 - 8346. What is the common denominator of 37/282 and b?
2256
Find the common denominator of (-3674)/3960 + (-48)/(-456) + 130/(-152) and -8/25.
450
Suppose -2*p = 2*m + 36, 37 + 11 = -3*p - m. Let t = p + 755/48. Calculate the common denominator of t and -1/63.
1008
Let c = 268 - 246. Let w = -152 + 156. What is the lowest common multiple of w and c?
44
Let k be 1/1 - (76510/(-25505) - -4). Let z = -127504/107121 + k. Find the common denominator of z and -34/39.
273
What is the common denominator of (-96)/266*392/(-378) and -77/6?
342
Let x be (76/8)/(3/36). Suppose -x + 102 = -3*q. Calculate the lowest common multiple of 36 and q.
36
Suppose -6*p = -4*j - 10*p + 28644, 0 = -p. Let a be (-257690)/36 + -1 - 0. Let i = a + j. Calculate the common denominator of -35/16 and i.
144
Let k = -2187079/31681020 + -1/75431. Find the common denominator of -91/32 and k.
3360
Let k = 30 - 19. Let x(o) = 33*o + k - 4 - 32*o. Calculate the lowest common multiple of 58 and x(-6).
58
Let l(y) = 67*y - 25. Let s be l(-10). Let r = s + 717. Calculate the lowest common multiple of 54 and r.
594
Let c(z) = -2*z**2 + 19*z - 10. Let k be c(9). Find the common denominator of -47/60 and (k + 308/48)*(-42)/(-40).
240
Suppose -5*z = -5*k - 80, -6*z + 8 = -2*z. Calculate the smallest common multiple of 9*-1*(k + 11) and 72.
216
Let o = -249295645/1386 - -179867. What is the common denominator of o and 193/1386?
1386
Let p(b) = 14*b**2 - 48*b - 426. What is the smallest common multiple of p(15) and 12?
2004
Calculate the common denominator of 47/217 and (-4)/6*(3/(-1))/(178 + -183).
1085
Let t = -556/11 + 1209/22. What is the common denominator of t and 239/(-48) - (-385)/55?
528
Let x(b) = -7*b**3 + 4*b**2 + 16*b - 1. Calculate the lowest common multiple of x(-3) and 16.
176
Calculate the common denominator of -95/2 and (-3 + (-154)/(-2))*882/(-8123808).
13816
Let v be (4/((-48)/(-4)))/((-3)/27). What is the common denominator of ((-21)/(-35))/(v/(210/44)) and -3*(-1578)/(-4536) - 2/(-9)?
308
Let u = -59767/18 - -3324. Let n = -2163 - -4227/2. What is the common denominator of n and u?
18
Let k = 24977666445/56 - 446014744. Let s = 15013 - k. What is the common denominator of -41/2 and s?
56
Calculate the least common multiple of 336 and 16/(80/24 + -3).
336
Let h be 2444/14*43/86. Let a = 6439/70 - h. Calculate the common denominator of a and 51/44.
220
Let c(o) = o**3 - 16*o**2 - 74*o + 437. Calculate the smallest common multiple of c(21) and 14.
7616
Suppose -223 = -8*i + 65. Calculate the least common multiple of i and (7 - 7 - -2) + 52.
108
Calculate the common denominator of (-9 + 746/80)/((-10)/25) and -43/2048.
2048
Let c = -174 - -152. Let w = 3 - -9. Calculate the least common multiple of 8 and (c/(-3) - -2) + w/18.
40
Suppose 45*k - 11435 = 40405. What is the least common multiple of 384 and k?
1152
Let k(p) = -7*p**2 + 15*p - 14. Let r be k(6). Find the common denominator of 74*(-34)/3416 + r/(-616) and (-10)/4*(-109)/35.
854
Let f = 2269/1320 - 53/40. Let h = -6/59 - -811/1593. Calculate the common denominator of f and h.
297
Suppose 28 - 25 = 3*h. What is the smallest common multiple of h and 1/(-4)*(2 - -4)*-6?
9
Let t = 268334787634 - 762607439936653/2842. Let o = 453611/98 - t. Let c = o - -4702. Calculate the common denominator of c and -13/4.
116
Suppose 3*j + 4 - 19 = 0. Suppose -699*p + 2378 = 827*p + 852*p. What is the lowest common multiple of p and j?
5
What is the common denominator of -8/55 and 19*(-1 - (-22778)/22680)?
17820
Let q = 1593215773/128375284 + -75/244991. Let a = -68/393 - q. Calculate the common denominator of a and 13/12.
12
Suppose 0*n = -212*n - 23277 + 1608189. Calculate the smallest common multiple of 14 and n.
7476
Suppose -320 = -11*x + 340. What is the least common multiple of 9/(-5)*(-7 + (-712)/24) and x?
660
Suppose 4 = -2*o + 16. Suppose o*j = 4*j + 324. Suppose -5*w + 2*c + 38 = -42, 0 = 5*w + c - 80. What is the lowest common multiple of j and w?
1296
Let o = 70827/260 + -1091/4. Find the common denominator of o and (-36)/(-21)*((-3230)/130 + 25).
455
Let u(n) = n**2 + 24*n - 140. Let b be u(-22). Find the common denominator of (-30)/b*(8 + -2) and -113/10.
230
Let g = 2/7839 - 185539/62712. Calculate the common denominator of 85/24 and g.
24
Let o = 985 + -963. What is the lowest common multiple of o and 5852?
5852
Let h = 73/2398 - 257617/2712138. What is the common denominator of 71/9 and h?
3393
Let s = -4/1533 - -1258/90447. Let z = 317621 - 18738499/59. Let b = s + z. Find the common denominator of -25/12 and b.
12
Let c = 46665/22 + -2124. Suppose 0*v - 3*v = -9. Find the common denominator of (2/((-8)/50))/v and c.
66
Suppose -2*w + 31 + 39 = j, -4*j = -4*w - 244. Let t be (-161)/4 + 16/j. What is the common denominator of 39/4 and (-38)/16 - (-2)/t*5?
8
Suppose 2*u - 4*y = 0, 2*u - 3*u = y - 9. Let a be (6/(-4))/((-13)/(-26)). Let k(z) = -z**3 + 2*z**2 + 6*z. Calculate the lowest common multiple of k(a) and u.
54
Let t(s) be the first derivative of -2*s**3/3 - 11*s**2/2 + 35*s + 110. What is the smallest common multiple of t(-7) and -24*(10/(-4) + 2)?
84
Let j = 270 + -268. Suppose -2 = j*o, 67*k - 5*o = 66*k + 49. Calculate the least common multiple of 72 and k.
792
Suppose -2*l - 5*c = -468, 7*c + 1108 = 5*l + 4*c. Suppose 1399 + 1067 = 406*i + 842. What is the least common multiple of i and l?
224
Suppose 334 = -0*v - 3*v - 5*n, -4*v + 3*n = 455. Let b = v - -119. Let l(i) = -i + 2. Calculate the least common multiple of l(-4) and b.
6
Let k be 8/(-2 + 8/3). Suppose h + 2*j - 4*j = 6, 0 = -h + 5*j + k. Calculate the least common multiple of (-9)/54 - (-605)/30 and h.
20
What is the common denominator of -2 + -10 - (-110123)/9331 and 145/186?
1302
Suppose -10*r - 6 = -8*r, 2*r - 1830 = -w. What is the least common multiple of w and 6?
1836
Let p(b) = -b**3 - 5*b**2 + 12*b - 6. Let d be p(3). What is the common denominator of (-33)/132 + (3/d - -2) and (-2)/3 + 37/(-2)?
84
Let l be (4/16)/1 + 2188/(-8720). Let n = 32707/7630 + l. What is the common denominator of n and 33/25?
175
Suppose -x + 658 = 5*t, 13*t - x - 266 = 11*t. What is the lowest common multiple of 180 and t?
1980
Let g = 231324731/92370 - 254/9237. Let w = g + -2512. Calculate the common denominator of (17/(3910/90))/(3 + -4) and w.
230
Find the common denominator of 178*((-14122)/2024 + 7/1) and 83/6356.
69916
Suppose 5*u - 152 = 3*r + 322, -4*r = 4*u - 392. Calculate the smallest common multiple of 24 and (u/20)/(12/80).
96
Let h be (14/6)/((-27)/(-405)). Suppose h*p - 36*p = 2*a - 45, 0 = -5*a - 3*p + 114. Calculate the smallest common multiple of a and 123.
861
Let f = 341 - 335. Find the common denominator of 2 + (-16)/f + 282/(-180) and -49/4.
60
Let z be (-6)/(-4) - 228/(-8). Let l = 30 - z. Suppose 5*i - 63 + 23 = l. Calculate the lowest common multiple of i and 2.
8
Let s(c) = 2*c**2 + 5*c + 5. Suppose 2*j + 39 - 33 = 0. Let l(u) = -9*u**3 - u**2. What is the least common multiple of s(j) and l(-1)?
8
Let z = -135 - -72. Let f = 1826/29 + z. Let k = 807/145 - f. Calculate the common denominator of -151/6 and k.
30
Suppose -b - 843 = -4*s, -4*b - s = -3*b + 858. Calculate the common denominator of ((-6)/16)/(b/(-12388)) and 43/30.
30
Let b(n) = 35*n - 90. Suppose 0 = -27*g - 43*g + 210. Let j = 17 + -8. Calculate the smallest common multiple of b(g) and j.
45
Let g = -501 - -635. Suppose -5 = -q - 1. What is the lowest common multiple of g and q?
268
Let u = 660 + -648. Let x(n) = -n**3 - n - 91. Let l be x(0). Let s = l - -127. Calculate the smallest common multiple of u and s.
36
Let a = 635 + -17723/28. Let q = -98 - -104. Let f(o) = -o**3 + 5*o**2 + 10*o - 17. Calculate the common denominator of f(q) and a.
28
Let i = 1 - 2. Let s = 7819 + -7813. Calculate the lowest common multiple of i/((-2)/(1*6)) and s.
6
Suppose -5486*l + 5488*l - 990 = 0. Calculate the lowest common multiple of 77 and l.
3465
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