 0 + 3).
54
Suppose -3*w + 7*w = 16. Let s(b) = -b + 1. Let g(h) = -h**2 + 7*h + 6. Let z(k) = g(k) - s(k). Calculate the smallest common multiple of 21 and z(w).
21
Suppose 65*q = 62*q + 99. What is the smallest common multiple of q and 15?
165
Suppose -2*b = 3*m - 81 - 332, 3*b + 5*m = 619. Suppose -3*x = -b + 82. Calculate the least common multiple of 70 and x.
210
Let z(g) = g**2 + 5*g - 12142. Let j be z(0). Let b = j - -218495/18. Let s = -8243/20 + 412. Find the common denominator of b and s.
180
Calculate the common denominator of (-2775)/(-324)*-1 - (-744)/93 and (-21)/14 + (-590)/(-216).
108
Let n = 452951/7 - 64875. Let z = n + 15150/91. Calculate the common denominator of z and 67/39.
39
Let r(u) = 2*u**2 - 9*u - 12. Let m be r(-5). Suppose 5*v - j - 255 = 0, -3*j - 172 = -5*v + m. Calculate the least common multiple of 36 and v.
612
Let c = -80 - -84. Find the common denominator of 93/16 and (-2)/5 - -7 - c.
80
Suppose -83 - 556 = -52*x - 119. Calculate the least common multiple of x and 897.
8970
Let s = 480 - 456. What is the least common multiple of (27*1)/(s/16) and 46?
414
Let n = -33/3119 + -199703/2644912. Calculate the common denominator of -119/10 and n.
4240
Let w(k) = k**2 - 14*k - 112. Let i be w(36). Suppose 92*g - i = 58*g. Calculate the smallest common multiple of g and 10.
20
Let a be (68/10)/(1/(-16)). Let m be -5 + 14905/(-130) + 2/13. Let x = m - a. Calculate the common denominator of x and -67/3.
30
Suppose 2026 + 404 = 45*n. Calculate the least common multiple of 4*(-4)/(8/(-27)) and n.
54
Let r = -1035167/639 - -14584/9. Find the common denominator of r and -97/8.
568
Let m(v) = -2*v**2 + 18*v + 20. Calculate the smallest common multiple of 3*(134/6 + (-1 - -4)) and m(8).
684
Suppose 0 = -9*n + 228*n + 3486 - 24510. Calculate the lowest common multiple of 2048 and n.
6144
Suppose -32 = -2*z + 2*q, -2*z + 7*z = -5*q + 80. Let y = -55 - -135. Calculate the least common multiple of y and z.
80
Let i = 6814/728853 - 102241365997/8425540680. Let f = 1/2890 + i. Calculate the common denominator of -99/122 and f.
488
Let s = 934/3 + -10385/33. Let g = -6118 - -214112/35. Find the common denominator of s and g.
385
Let w be -1*3/4*8. Let d = -4 - w. Suppose -6 = -x, -3*r - 11*x + 7*x + 75 = 0. Calculate the lowest common multiple of d and r.
34
Let y = 1158 - 1122. Calculate the least common multiple of y and 90.
180
Let g = 32326/5823 + 8/1941. Calculate the common denominator of 28/963 and g.
963
Let k = 12/55 + 2407/1320. Find the common denominator of -23/4312 and k.
12936
Suppose -5*b = q - 3844, -33*b + 39*b = -2*q + 4616. Calculate the least common multiple of b and 1248.
9984
Let r(d) = -d**2 + 92*d - 1249. Calculate the least common multiple of 598 and r(27).
6578
Let d(f) = 31*f**2 - 89*f**2 + 24 + 28*f**2 - f + 31*f**2. Calculate the smallest common multiple of 81 and d(-5).
162
Suppose 0 = 5*g + 113 + 232. Let s(q) = -q**3 - 5*q**2 + 8*q - 2. Let v be s(-4). Let b = g - v. What is the common denominator of 33/10 and b?
10
Let a = -114 - 152. Find the common denominator of 61/36 and 15/(123 - -12) - a/144.
72
Let n be (-7600)/(-55) - 2/11. Suppose -5*d + 109 = -3*o + 5*o, 3*d = o - 71. Calculate the smallest common multiple of o and 1/3 + n/18.
248
Let q = -11599/204 + 287/34. Let t be 11/(-66)*(-1 - 226). Let i = q + t. Find the common denominator of i and -23/24.
24
Suppose -18 + 30 = 6*r. Calculate the lowest common multiple of 4917/12 + ((-36)/(-16) - r) and 16.
3280
Let k be (30/(-4))/(39/(-78)). Suppose -3*c = -k, 5*c - 154 = 15*s - 18*s. Calculate the least common multiple of s and 38/8 + (-2)/(-8).
215
Suppose -d + 16 = -2*f - 16, -2*f + 72 = 3*d. Let c = 24 + -8. What is the smallest common multiple of d and c?
208
What is the lowest common multiple of (3430/42)/((-40)/(-48)) and 112?
784
Let g = -146 + 87. Let a = g + 60. Calculate the least common multiple of (0 - 2) + (42 - a) and 15.
195
Find the common denominator of 127/1490 and 12/600*-5 - ((-149)/60 - -4).
8940
Suppose -4*f + 734 = 2*l, f - 1101 = -3*l + 3*f. Let q = 381 - l. What is the least common multiple of q and (-26)/(-4) - (-1)/(-2)?
42
Let v = 126464/33 - 3833. Let r = -1118089/12 - -93172. What is the common denominator of v and r?
132
Let u be (-2 + 1)/((-1)/5). Suppose 2*s - 2*c - 24 = 0, 4*s - u*c - 16 = 28. Suppose s = -13*o + 15*o. Calculate the smallest common multiple of o and 6.
24
Let n = -8475 - -237331/28. Find the common denominator of n and (-2)/5 + 2232/80.
28
Let x = 2719/5 + -2721/5. Find the common denominator of x and 111/1190.
1190
Let d be (-2)/1*-6*(-4)/(-6). Suppose d*h + 164 = 12*h. Suppose -5*r = 11 - h. What is the least common multiple of 6 and r?
6
Let w = -5375 - -5431. Calculate the least common multiple of 14 and w.
56
Suppose -730 = -0*x - 5*x. Suppose -5*o - 104 - x = 0. Let u = -40 - o. Calculate the lowest common multiple of 54 and u.
270
Let h = 8083/14 + -577. What is the common denominator of h and 32688/(-13728) - 4/(-26)?
154
What is the common denominator of -17/330 and (-177875)/(-60000) - 1/(-15)?
5280
Let s = -866 + 857. Let v(m) = -m**3 - 9*m**2 - 16*m + 2. What is the lowest common multiple of v(s) and 6?
438
Suppose 4*f - 50*w = -48*w + 32, -3*w = 3*f - 15. What is the smallest common multiple of f and 2128?
2128
Suppose 0*o = 5*o - 4*w - 1147, -3*o = -3*w - 687. Let f = 137 + o. Suppose 0 = -3*a + 166 + f. Calculate the smallest common multiple of a and 16.
1424
Find the common denominator of 18/(-3) - (-15 + (-514957)/(-57171)) and 38/21.
21063
Let n(y) = 69*y - 2025. What is the lowest common multiple of 27 and n(43)?
8478
Let j = -18562 + 18582. Let t(d) = 52*d - 2. Calculate the least common multiple of t(1) and j.
100
Let m(g) = -396*g + 4456. What is the lowest common multiple of m(11) and 75?
300
Let z = 5869973/80 + -73376. What is the common denominator of 51/80 and z?
80
Calculate the common denominator of (9 - (11 + 10))/(22/5) and 30/101.
1111
Let p(y) = 73*y**2 + 6*y - 6. Let j be p(1). Suppose 47 = 12*r - j. Suppose -3*i + 89 = -r. What is the smallest common multiple of 3 and i?
33
Suppose 138 - 27 = 3*n + 3*t, n - 45 = -5*t. Suppose -l = l - 3*u + 62, 3*u = 3*l + 96. Let g = l + n. What is the smallest common multiple of g and 2?
2
Let u = -14 - -8. Suppose 8*s + 9 = -207. Calculate the smallest common multiple of s/(-3)*(-4)/u and 4.
12
Let u be (3 - 2)*-1 - 20. Let s = 361254 - 3612459/10. Calculate the common denominator of (-6)/u*58/(-4) and s.
70
Let k = -25/173 + 42143/182688. Find the common denominator of 11/256 and k.
8448
Suppose n = -4*s + 3569, 8*s - 4463 = 3*s - 3*n. Let u = -508 + s. Calculate the smallest common multiple of u and 4.
384
Calculate the common denominator of ((-693)/(-110))/63*2/((-18)/(-295)) and -107/4152.
12456
Let n(c) = 119*c**2 - 13*c - 2. Let h be n(-4). Let k = h + -17614/9. Calculate the common denominator of k and 85/18.
18
Calculate the common denominator of -41/380 and -7 - ((-16618)/1292 + 16 + -10).
6460
Let y = 225629/351492 - -7/29291. What is the common denominator of -99/188 and y?
9588
Let b(y) = y**3 + 2*y**2 + 10. Let k = 163 - 160. What is the smallest common multiple of b(0) and (k - 5) + (0 - -7)?
10
Calculate the common denominator of (2/(-48))/((-2)/(-129)) and ((-3)/(-490))/((-824)/(-56238)).
560
Calculate the common denominator of 85/8 and (430/40 + -11)/((-428)/(-35) - -4).
2272
Let h be (18/(-4) + -2)/(8/568). Let y = 477 + h. Calculate the common denominator of y and 143/120.
120
Let c(b) = 11*b**2 - 100*b + 42. What is the smallest common multiple of c(9) and 2706?
2706
Find the common denominator of (-2331)/564 + 3 + 96/72 and 2/3.
564
Suppose 6*p - 23 = 25. Let r = 13 + 29. Suppose -2*s = 3*q - p*q + r, -4*s + 6 = -q. What is the lowest common multiple of 44 and q?
220
Let m(y) = y**2 + 11*y + 23. Let p be m(-4). Find the common denominator of 89/52 and (1/2)/(p/245).
52
Let b = 64 - 37. Let k = -905 + 908. What is the smallest common multiple of k and b?
27
Suppose 0 = -30*d + 26*d + 1152. Let v = d + -273. What is the least common multiple of v and 29/3 + 4/(-6)?
45
Suppose -271 = -3*w - 2*s + 92, -5*w - 2*s + 609 = 0. Let f = -172/133 + 1/133. Calculate the common denominator of (-15)/2*(-3 + w/63)