t h be (-5)/(220/(-52627)) - 1. Let z = h + -1195. Find the common denominator of -107/88 and z.
88
Suppose -3*l + 3 - 8 = -m, 0 = -2*m - 2*l + 10. Suppose 0 = c + 2*r - 2 - 2, m*r - 4 = -c. Calculate the lowest common multiple of 41 and c.
164
Let t = -24 - -56. Calculate the lowest common multiple of t and (-215)/(-3) + 24/72.
288
Suppose 4*y - 16 = -s, -y + 199 = -4*s + 229. Suppose 0 = c + 3*c - 328. Calculate the lowest common multiple of s and c.
328
Let i = -402 - -32113/80. What is the common denominator of 49/96 and i?
480
Calculate the smallest common multiple of (-10989)/81*(-1)/5 + 8/(-60) and 435.
3915
What is the common denominator of 34/15 and (13*2/(-10) + 1)/(11214/595)?
4005
Let o = -20630 + 123815/6. Calculate the common denominator of (6/(-111))/(8/142) and o.
222
Suppose -7*z = -5*z + 26. Let p = z + 17. Calculate the least common multiple of 12/p - -1 - -16 and 124.
620
Let n(b) = 3*b**2 - 4*b - 3. What is the smallest common multiple of 26 + -24 - (-36)/6 and n(-3)?
72
Let u = 9607/5 - 249753/130. What is the common denominator of -59/234 and u?
1170
Let a(s) = 2*s**2 - 78*s + 452. Let j(t) = -t**2 + 9*t + 8. What is the least common multiple of j(7) and a(32)?
44
Suppose 6*t - 3*h = 4*t + 4, 0 = 5*h. Find the common denominator of (-2)/(-8)*-1 + 47/(-12) and (5/t)/((-21)/(-6)).
42
Suppose -400 = -3*o - o. Let b = 860 + -848. What is the lowest common multiple of o and b?
300
Let o = -73178180699/966 - -75753827. Let t = -7742 - -1246449/161. Let p = t - o. Find the common denominator of p and -77/12.
12
Let k = 10 - 8. Calculate the lowest common multiple of k and (3/5 + -1)/(93/(-23250)).
100
Suppose 92 = 4*y - 66*u + 69*u, 80 = 5*y - 5*u. Let c(w) = -w**2 - 8*w + 37. Calculate the least common multiple of y and c(-11).
20
Let o = 37 + -12. Calculate the lowest common multiple of 1/2*-4*(-385)/22 and o.
175
Suppose -1260 = -2*d - 3*t + 5*t, -2*t = 2*d - 1260. Calculate the smallest common multiple of d and 63.
630
Suppose c + 2*c - 223 = x, -x + 2 = 0. Let p(s) = s**2 + 9*s - 986. Calculate the smallest common multiple of p(-37) and c.
150
Suppose 141 = 2*q + 51. Let h = -31967 - -31985. What is the smallest common multiple of q and h?
90
Let i(c) = -3*c**2 + 22*c - 5. Let f be i(6). Find the common denominator of (-18 + f)/(64/95) and -115/28.
448
Let f = -425/72 - -115/9. Let c = 184052726/43 + -5037154135407/1176824. Let n = -14/311 - c. Calculate the common denominator of n and f.
88
Let d = 4 + 111. Suppose -2*i - i = 4*g - 113, 5*g - d = -3*i. Suppose 5*b = 4*o - 21 - 44, 5*b + i = o. What is the least common multiple of 10 and o?
10
Calculate the common denominator of ((-25)/(-30))/((-7820)/420) and 97/92.
1564
Let n(p) = p**2 - 4*p - 13. Let g(c) = -c**2 - 16*c - 2 - 25*c + 27*c. Calculate the lowest common multiple of g(-12) and n(7).
88
Suppose -5*s - 3*n + 12 + 24 = 0, 0 = -4*n + 8. Suppose 70 = s*w - 2. Suppose 6 = r - 6. What is the smallest common multiple of r and w?
12
Let t be (-1)/(-12) - 21091/19596. Let b = -15853/7242 - t. Find the common denominator of 131/6 and b.
102
Suppose 2*d - 4*c = 948, -c = 13*d - 15*d + 939. What is the smallest common multiple of d and 598?
10764
Let s = 32 - 44. Let i be -4 - s - (2 - 0). Suppose 0 = 2*w - 2 - i. Calculate the smallest common multiple of w and 4.
4
Let p = 1432 - 24194/17. Let d = -1356/119 + p. What is the common denominator of 53/169 and d?
1183
Let t = 1634738419469 + -68368030169771477/41822. Let b = -1152/1901 - t. Let q = -222 - b. Calculate the common denominator of q and -101/16.
176
Suppose 436 = -14*d + 2340. Let i = -133 + d. What is the smallest common multiple of 4 and i?
12
What is the common denominator of (-594)/132 - 10449/(-2352) and 37/63?
7056
Suppose -2*p - 2254 = 5*s + 536, 0 = -4*p + 20. Find the common denominator of 61/14 and (15704/s)/13 - 4/(-10).
70
Let t be -9*((-40)/12 + 4). Calculate the common denominator of t/4*(-927)/(-189) and -1 + 2 + (-22)/12.
42
Let h = -2543/7 - -370. Let g = -9885320679/3442649 + -3/491807. Let q = g + 2877. Calculate the common denominator of h and q.
7
Let j = 20575 - 20281. Calculate the lowest common multiple of j and 378.
2646
Let x = -41 - -32. Let d be (60/x - -5)/(1/(-3)). Suppose -d*a = -3*w - 75, -4*a - 5*w = -0*a - 23. Calculate the smallest common multiple of 8 and a.
24
Let y = 76676049/14375720 - -22267/6781. Let a = y + 2/265. Find the common denominator of 3/4 and a.
8
Let b = -5128 + 348767/68. Find the common denominator of -70/3 and b.
204
Suppose 14 = z - 2*o, 37 - 13 = 6*z + 3*o. What is the least common multiple of 3256 and z?
9768
Let t = 868264/77 - 11276. What is the common denominator of t and 47/231?
231
Let r = -3760/19 - -55412/285. Calculate the common denominator of 20/1203 and r.
6015
Suppose 0 = 2*t + 5*t + 105. Calculate the common denominator of 64/3 and 2/(-6) - 385/t.
3
Let i = 14 - 5. Suppose -3*f + i = -54. Calculate the least common multiple of f and 24/(-408)*289 + 32.
105
Let j(v) = -25*v**2 + 628*v - 39. Let o = 48 - 27. Calculate the lowest common multiple of o and j(25).
252
Let j = -93089/40 + 2327. Let x = -615933/150230 + -1/15023. What is the common denominator of j and x?
40
Calculate the least common multiple of (4 - -2) + 9 + -9 and 2205.
4410
Let n = -30864 + 1388948/45. Calculate the common denominator of n and (-2)/8 - (-21)/(-10).
180
Let h = -94598863/630 + 150157. Calculate the common denominator of 179/630 and h.
630
Suppose 5*f = 5*j - 1115, 76*j - 73*j - 213 = f. What is the common denominator of 75/16 and -2 + 7 + -4 - (-231)/f?
304
Let x = 84510/11339 - 9/493. Let l = 2133/92 - x. What is the common denominator of l and -47/42?
84
Suppose -215 = 5*t - 3*i, 2*t - 5*i = -2*i - 95. What is the common denominator of (-17)/t + (-1)/4 and 1/30?
120
Suppose -3*q + 92 - 23 = 4*l, -3*q + 72 = 3*l. What is the common denominator of -55/7 and 468/(-594) - (-3)/q?
693
Let a = -4016 + 4030. Calculate the lowest common multiple of 414 and a.
2898
Suppose 22 = 35*c - 188. Suppose 0 = -6*t - 3*t + 1314. What is the smallest common multiple of t and c?
438
Suppose 0 = 2*b - 3*f + 1, -13*b + f + 9 = -17*b. Calculate the common denominator of 37/33 and (b + -1)*1 - (-32890)/12375.
2475
Let n(t) = 3*t**2 + 6*t + 4. Let j be n(-1). Calculate the least common multiple of 39 and (-9)/(-12)*j*16.
156
Let k(m) = -207*m + 417. Calculate the least common multiple of 1458 and k(2).
1458
Let y be 87*(-693)/(-81)*(-1)/402. Let d = y - 5/134. What is the common denominator of d and -31/6?
18
Let i be ((-62)/4)/((-88)/(-78152)). Let j = i - -13768. Find the common denominator of j and 73/12.
132
Suppose 5*g + 85 + 155 = 0. Find the common denominator of 2 - (-181)/g - 5/40 and -109/12.
48
Let g be 3 - (4 + 1) - 32/(-8). Find the common denominator of -79/80 and g + 4/60 - 5.
240
Let t(i) = 13*i + 130. Let k be t(-16). What is the common denominator of -26/135 and k/(-10)*(5 + (-45)/12)?
540
Let a = -33 + 35. Let s be (-1 - -4) + (3 - a). Suppose 0 = 5*b - 4*k - 74, 3*k - 31 = -s*b + 53. What is the smallest common multiple of b and 22?
198
Suppose 43*y - 32097 = 215712. What is the lowest common multiple of y and 15?
28815
Suppose -6 = 2*i - 2*w, -527*i + 5*w - 18 = -523*i. Let z be 0 - 2/(-3)*3. Suppose -z*a + 60 = -0*a. Calculate the smallest common multiple of a and i.
30
Let q = -8754 + 9006. What is the least common multiple of 756 and q?
756
Let v = -31420 - -1131143/36. Find the common denominator of -35/3678 and v.
22068
Let w be (-12)/78 - (-7380975)/351. Let p = w - 21028. Find the common denominator of p and 14/5.
585
Suppose 0 = 2*j - 54 + 2. What is the common denominator of 0 - (-7)/((-1008)/j) and -125/18?
72
Calculate the common denominator of -17/378 and -7 + -1 - (-9)/378*422.
378
Let t = 1/3794 + 69235/20867. Find the common denominator of t and -25/1036.
11396
Suppose 3*s = -3*s - 1590. Let u be (14/35)/((-1)/s). Let x = 187 - u. Calculate the least common multiple of x and 7.
567
Let y be 3/15 + 4569/15. Let z = y - 311. What is the common denominator of z and (-3)/(54/52) + 4/(-1)?
45
Suppose -2*f + 702 = 3*t, -t = -2*t. Let c = -311 + f. Calculate the smallest common multiple of 40 and c.
40
Let c = -58 + 64. Let k(o) = 3*o + 6. Calculate 