758
Let r = 32403/5752 - 6/719. Let t = -68441/34 - -2014. What is the common denominator of t and r?
136
Let k = -1 + 6. Suppose 29*s - 30*s = -9. Calculate the smallest common multiple of (k + -2 - 4)*-27 and s.
27
Let w = -78999/7348 - -2/1837. Find the common denominator of w and 47/164.
164
Suppose -5*o = 5*v + 95, -4*o + 3*v - 60 = 30. Calculate the common denominator of (0 - 16/198)*246/8 and (-2400)/616 - (-6)/o.
33
Suppose 5*c - 190 = -5*p, 0*p - 3*p = -3*c - 90. Let o = 36 - p. Find the common denominator of (-18)/252*((-1 - -49) + o) and -29/25.
175
Suppose -x = 3*j - 310 - 1708, -2*j = 5*x - 1354. Calculate the smallest common multiple of 896 and j.
2688
Suppose -h - 4*t + 267 = 858, 0 = 5*t + 15. Let l = h + 585. Calculate the least common multiple of l and 130.
390
Let f = -5470/2471563 + 3/2479. Let m = f - 24907/17946. What is the common denominator of 19/84 and m?
252
Let b = -472219/5865870 - 124/4769. Calculate the common denominator of -91/10 and b.
1230
Let d = 1291/688 + -293/43. Suppose 168*c - 99 = 171*c. What is the common denominator of d and 22/c + (0 - 262/(-168))?
112
Suppose 2*d - 35 = 33. Suppose -7*p + d + 1 = 0. Let y(o) = -6*o + 38. What is the smallest common multiple of 4 and y(p)?
8
Let z = -16/7849 + 444744/2550925. Calculate the common denominator of z and -53/45.
2925
Let g(u) = u**2 + 9*u + 14. Let j(d) = 29*d**2 + 470*d + 126. Calculate the smallest common multiple of j(-16) and g(-10).
120
Suppose 5*x = m - 14, -m - x = -7 + 5. What is the common denominator of 1582/2940 + m/(-6) and 109/20?
140
Let t = 413 + -421. What is the common denominator of ((-118)/1)/(12 + t) and -37/3?
6
Calculate the common denominator of 12 + 0 - 5 - (3790/280 + -5) and 101/1666.
3332
Suppose 176*p = 1652 - 244. What is the smallest common multiple of 31613 and p?
252904
Let a be 21/14 + (-5)/(-2) + -1. Suppose -5*l + 132 = -a*t, -3*t - 2*t + 86 = 3*l. Let i = -127 - -154. What is the least common multiple of l and i?
27
Suppose 417 = -115*f + 120*f + 3*c, c - 83 = -f. Calculate the least common multiple of f and 104.
2184
Let d = 9462067829253658/103041 - 91828183241. Let u = d + -2/125939. Calculate the common denominator of -2/3 and u.
99
Calculate the common denominator of ((-3)/2 + 17402/11484)*(-7905)/(-1088) and -101/1044.
4176
Let b = -3951 + 27649/7. Let j be (-1216)/(-68) + 3 + 3. Let y = j - 5199/170. Find the common denominator of b and y.
70
Let h = 7 - 5. Find the common denominator of (-129)/(-14) - 0 - h and 517278/90520 + 2/(-31).
140
Calculate the common denominator of (-47)/15*(1852/(-928) - -2) and 76/15.
3480
Calculate the smallest common multiple of -1*1 + (-51)/(-3) and (-1004)/(-1757) - 872/(-14)*3/2.
752
Let p = -3659 + 9852. Let r = p - 384051/62. Calculate the common denominator of -23/14 and r.
434
Let z(y) = y**3 + 13*y**2 + 42*y. Let x be z(-7). Suppose x = 4*n + n - 30. What is the lowest common multiple of 8 and n?
24
Find the common denominator of 116083/(-34160) + (-7)/(-2) and -11/120.
1680
Let p be (2/(-4604))/((-351)/(-52)). Let y = p - 3200851/1243080. Calculate the common denominator of 2 + (63/48 - -1) and y.
80
Let l = -50335/4 - -22499809/1788. What is the common denominator of l and 62/15?
2235
Suppose -19*y + 3756 = 12*u - 16*y, -2*u - 4*y + 640 = 0. Calculate the lowest common multiple of u and 104.
312
Let z = -1969 + 9807/5. Let b be -1 - 4/(-2) - 738780/(-113848). Let d = b - 990/107. Calculate the common denominator of z and d.
190
Let t = 2 + -20. Let n = t + 18. Suppose n = -30*c + 27*c + 66. What is the least common multiple of c and 22?
22
Let n be 9/6*32/(-6). Let k = -2929 - -35167/12. What is the common denominator of (n/28)/(-15*(-2)/355) and k?
84
Let a = -8902 - -9568. What is the lowest common multiple of a and 3?
666
Let a(k) = 2*k**2 + 56*k + 54. Let y be a(-27). Let u = -32/23 - -379/322. Calculate the common denominator of (-1066)/(-104) - (-3 - y) and u.
28
Suppose -4*h = -h - 102. Suppose -18*g + 64 = -2*g. Suppose 0 = 6*q - q + 15, -16 = -2*t + g*q. What is the smallest common multiple of t and h?
34
Suppose 143*x - 145*x = 21706. Let r = x - -759729/70. Calculate the common denominator of 59/28 and r.
140
Suppose 151*q - 155*q = -112. Suppose q*x - 211 = 237. Calculate the smallest common multiple of 8 and x.
16
Let u = 127189/82992 + 412/1729. Calculate the common denominator of u and (1 - 230/(-84)) + 0.
336
Suppose -5*t - 555 = -55. Let j = t - -22. Calculate the common denominator of 923/j - (-1)/(-2) and 43/12.
12
Let l = -653 + 657. Suppose 183*h + l = 184*h. What is the lowest common multiple of h and 248?
248
Suppose 6*h = -4*h + 60. Let a = 12 + -2. Let z = 20 - a. Calculate the lowest common multiple of h and z.
30
Let d be (-20 - -17) + 264/2. Let o = -72 + d. What is the lowest common multiple of 7 and o?
399
What is the least common multiple of 54 and (-68)/(-11) - 162/891?
54
Let o be -1*(2 + 1) + 8. Suppose -3*y = -c + 5, 0 = -3*c - 0*y - o*y + 29. Suppose c*m = 47 + 49. Calculate the least common multiple of m and 8.
24
Let b(g) = -2*g**2 - 9*g - 3. Let m(a) = -a**2 - 3*a + 38. Let l be m(7). Let u be l/10 + 80/(-100). Calculate the lowest common multiple of b(u) and 1.
1
Suppose -9*o + 10248 = 5*o. Calculate the common denominator of -1 - o/(-160) - 1/(-8) and 65/14.
70
Let z = 3368655/56 - 60153. What is the common denominator of z and ((-1243)/154 + 8)*-83?
56
Let a = 78071/18 + -4331. Calculate the common denominator of 29/4452 and a.
13356
Suppose 0 = -85*k + 785 + 915. Let g = 104 + -78. What is the lowest common multiple of k and g?
260
Suppose 0 = -n + 5*p - 14, 35 = 3*n + 2*p + 9. Suppose -2929*i + 2941*i = 72. Calculate the smallest common multiple of i and n.
6
Let c(s) = s**3 - 19*s**2 - 14*s - 18. Let w be c(19). Calculate the common denominator of 2570/w - -7 - -2 and 79/8.
568
Let i(q) = -1463*q + 4399. Suppose -3*o + 15 = 3. What is the lowest common multiple of o and i(3)?
20
Let t = -21889 - -22123. What is the lowest common multiple of 143 and t?
2574
Let l = 10608717/152683322 - 1/173899. Calculate the common denominator of -47/8 and l.
3512
Let b(s) = 22*s + 2. Calculate the lowest common multiple of 8 and b(1).
24
Let m = -8407045/66 - -127377. What is the common denominator of 8/803 and m?
4818
Let h = 208 - 203. Suppose h*z + 0*x - 5 = x, 2*z - 24 = -4*x. Calculate the lowest common multiple of z and (-1)/2*(-7 + -9).
8
Let z = -225/997 - 118333/89730. Calculate the common denominator of z and 169/720.
720
Calculate the common denominator of -17/240 and (-1)/(53/(14151/1170)).
3120
Suppose -4*z + 5*g + 6 = 28, z = -5*g - 18. Let h = -32798 + 163928/5. What is the common denominator of h and z?
5
Let q = 2402 + -3407. Let h = q + 12095/12. What is the common denominator of h and 265/(-8)*1/10?
48
Let y = 11566 - 3180663/275. Find the common denominator of y and -109/110.
550
What is the common denominator of 1/109 and 3 - (-335)/10*14/28?
436
Let i = -139/20 - -3103/444. What is the common denominator of i and 33/85?
18870
Let a = -7671 - -84372/11. Find the common denominator of a and 54/119.
1309
Suppose 7*c = -7*c - 266. Let g = 10157/8 - 1274. Calculate the common denominator of 413/30 + c/(-10) + -2 and g.
24
Let p = 216884 + -2171169/10. Let w = p - -232. What is the common denominator of -17/15 and w?
30
Suppose v + 0*v = 1. Let t be -8 - 5 - (0 - v). What is the least common multiple of 7/3 + t/(-18) and 2?
6
Let h = 1188 - 1176. Calculate the lowest common multiple of 33 and h.
132
Let k = -625573/36 - -17375. Let c = -47959/180 - -3937/15. Calculate the common denominator of k and c.
36
Let v(r) = -r**3 + 26*r**2 + 9*r - 360. What is the least common multiple of 140 and v(25)?
980
What is the least common multiple of 6325 and ((-325)/26 - -14) + (-32188)/(-8)?
44275
Suppose 12*w + 8048 + 23623 = 81*w. Calculate the lowest common multiple of w and 510.
4590
Let b(x) = 5*x**2 - 3*x + 58. Calculate the lowest common multiple of b(-10) and 140.
2940
Let j = -103 + 113. Let v be ((j/15)/(-2))/(1/(-18)). Calculate the least common multiple of 1 and (-3)/v*(3 - 9).
3
Let w(m) = m**2 + 25*m + 26. Let i be (-69)/(1*12/(-80)). Suppose 20*a + 60 = -i. What is the smallest common multiple of 6 and w(a)?
156
Let d(i