?
574
Let y = 623 + -353. What is the lowest common multiple of 55 and y?
2970
Suppose -2 = 2*d, -2*o - 4*d = -3*d - 9. Suppose i - 76 = -3*u - 0*u, u = o*i + 4. What is the least common multiple of u and 2?
24
Find the common denominator of -67/648 and 5/4 - (-101270)/(-51480).
7128
Suppose 142*w - 3*g = 147*w - 77, 3*w - 21 = g. Calculate the lowest common multiple of w and 1 - -23 - -1 - 1.
120
Find the common denominator of 6*((-2387)/(-16214))/(-31) and -42/121.
8107
Let v = -2/151390151 + -14439138431687/18166818120. Let u = v - -3998/5. What is the common denominator of u and -35/114?
456
Let l = -1019 + 1040. What is the smallest common multiple of l and 147?
147
Calculate the common denominator of 21/(-56952)*6*(62/(-49))/(-2) and 85/12.
66444
Let i = -7436 + 8028. Calculate the smallest common multiple of 16 and i.
592
Let d be (3 - -1 - 3)*5. Suppose 0 = 3*v - 0*o + o - 9, d = 4*v - o. What is the lowest common multiple of ((7 - 0) + 23)*6/9 and v?
20
Suppose 0 = 6*l - 12*l + 12. Calculate the common denominator of 70/3 and 15/l*(-2)/(72/52).
6
What is the smallest common multiple of 688 and (0 - -7)/(140/880)?
7568
Let m(t) = -33*t**3 - 6*t**2 + 3*t - 5. What is the lowest common multiple of 3 and m(-4)?
5997
Let d = 5773 + -2673. Calculate the common denominator of 135/12*5/(d/(-24)) and 99/8.
248
Suppose -30*i = -20*i - 500. Find the common denominator of 97/132 and i/36 - (-60)/40.
396
Suppose 0 = -2*q + 10, -4*n = -q - 11. Let a = 260 - 170. What is the lowest common multiple of 1/(6/34) - 60/a and n?
20
Suppose -2*u + 13 = 5*n, -5*u + 0*u = -20. Suppose -n = -2*r - 9. Find the common denominator of -43/14 and (26/(-351))/(r/219).
126
Let a be ((-1589)/(-2))/((-65)/78). Let h = a + 37651/40. Find the common denominator of h and -7/15.
120
Let u(m) = m**2 - m + 3. Let k(z) = -z - 48. Let q be k(-19). Let n = 40 + q. Calculate the least common multiple of n and u(0).
33
Let l(a) = 9*a - 100. Let k be l(-18). Let p = k - -267. What is the least common multiple of 55 and p?
55
Let s = -14722811/10 - -1473950. Let k = s - 1671. What is the common denominator of k and (18/(-25))/(3/(-10))?
10
Let s = -7 - -5. Let c(v) = 8*v**2 + 3*v. Let h be c(s). Suppose 0 = r + r - h. What is the least common multiple of 6 and r?
78
Suppose -4*z - 66 + 162 = 0. What is the smallest common multiple of ((-168)/35 + 4)*45/(-2) and z?
72
Suppose -6*z + 0 = -6. Let m(i) = -i**2 - 3*i + 9. Let g(n) = n. Let q(f) = z*m(f) + 6*g(f). What is the smallest common multiple of q(0) and 16?
144
Suppose 21*b + 1136 - 5399 = 0. What is the lowest common multiple of b and 2?
406
Let f be (-4869318)/(-364) - 4/14. Let r = 13381 - f. Calculate the common denominator of 73/9 and r.
234
Find the common denominator of 121/890 and ((-12)/40)/(((-97)/43165)/((-1)/(-6))).
1780
What is the common denominator of -81/74 and ((-25)/(-36))/(134/(-1072))?
666
Let q = -3529/1235168 + -1/2662. Calculate the common denominator of q and 69/80.
4640
What is the common denominator of 3/(-4) + 2873/780 and (-935)/(-225) + 4/(-18)?
15
Let k = -4564/11 + 109987/264. Calculate the common denominator of k and -151/138.
552
Let d = 32105 + -32022. Suppose 0 = -4*l + 3*c + 6, 6*c - 17 = -3*l + 2*c. Calculate the least common multiple of d and (0 + 12/9)*l.
332
Suppose 109 = 5*x - 36. Suppose 5*r - 5*k - 10 - 5 = 0, -4*r - k = -2. Suppose 5*d - x - r = 0. Calculate the lowest common multiple of d and 8.
24
Suppose -2*v + 1080 = 8*v. Let h be v + 1 + (1 - (5 + -2)). Suppose o = p - 0*p + 35, -3*p - h = -5*o. Calculate the common denominator of -22/7 and p.
7
Let a = -1497 + 577. Find the common denominator of 0 - a/48 - -5 and 101/42.
42
Suppose 3*b + 2*b = -1710. Let x = -4726 + 37885/8. Calculate the common denominator of b/80 - (-6)/(-10) and x.
8
Let b = 55019951/2421 + -204535/9. Let w = -2/14687 - -528754/161557. Calculate the common denominator of b and w.
2959
Let u(f) = f**3 + 40*f**2 - 41*f + 65. Calculate the smallest common multiple of u(-41) and 54.
3510
Let b(u) = u**2 - 20*u - 42. Let d be b(-2). Suppose -d*o + 12 + 18 = -2*s, 4*o - 2*s - 70 = 0. Calculate the smallest common multiple of o and 24.
120
Let a = -3415 - -3721. What is the least common multiple of a and 782?
7038
Let n be (8/(-6))/(7/(-126)*1). Calculate the common denominator of 63/50 and (n/(-90))/(-2 - 20/(-45)).
350
Let g(i) = -4*i - 11 - 5*i**2 + 2*i**2 + 27*i. Calculate the lowest common multiple of 9 and g(7).
9
Let d = 21/86 + -4391/6536. Calculate the common denominator of -41/57 and d.
456
Suppose -5 = -8*u - 53. Find the common denominator of -11/28 and (-807)/(-72) + (3 - (-20)/u).
56
Let i = -79939 - -19185257/240. Find the common denominator of -53/216 and i.
2160
Let y be 12/4 + (1 - 2). Suppose -y*o = 2, -2*n = -o - 1 - 6. Calculate the least common multiple of 5 and 2/(-3) - (-11)/n.
15
Suppose -26*v - 16*s = -21*s - 129183, 15 = -5*s. What is the least common multiple of 24 and v?
4968
Let o(q) = q**3 - 9*q**2 - 24*q + 126. Let i be o(15). What is the common denominator of 32/7 and (-6)/(-4) + i/(-4216)?
119
Suppose 0 = 7*p + p - 512. Calculate the common denominator of -55/2 and p/30 - (-2 - -7).
30
Let m = 1029 - 1025. Calculate the least common multiple of 44 and m.
44
Let o = -12 - -57. Suppose -839 = -48*c + 361. Calculate the smallest common multiple of o and c.
225
Let s = -40191/6370 - -6/637. What is the common denominator of s and 59/5622?
28110
Suppose -f - 122069 = o + 4*o, 4*f = 5*o + 122074. Let d = o + 4296931/176. Find the common denominator of -49/48 and d.
528
Let w be (2 + -3 + 2 + 0)*-1. Let m be (4 - (-25 - 4))/(w + 0). Let a = -19 - m. What is the least common multiple of a and 2?
14
Suppose 2*t + 3*n - 9 = -2*t, 1 = 2*t + 5*n. Calculate the smallest common multiple of t and 1283.
3849
Let a = -12 + 26. Let y = 3262 + -3196. Calculate the least common multiple of a and y.
462
Let n(k) = 5*k**2 - 62*k - 943. What is the smallest common multiple of n(-17) and 12?
4668
Let t(j) = -3*j - 15. Let s(u) = u**3 - 9*u**2 - 2*u + 23. Suppose -6*r + 126 = 8*r. What is the least common multiple of s(r) and t(-6)?
15
Find the common denominator of (-2*221/(-136))/306 and -103/952.
8568
Let d be ((-810)/(-40))/(3/48). Calculate the common denominator of -77/52 and (2 + 4/(-3))*d/64.
104
Suppose 13*x = 36*x - 18*x - 225. What is the lowest common multiple of x and 1780?
16020
Let z = -755 - -1077. Suppose 430 = 2*n + z. Calculate the least common multiple of n and 54.
54
Let q be ((-3)/(-6)*5)/(2/4). Let y(m) = -231*m - 15. Let x be y(q). Calculate the common denominator of ((-32315)/x)/(-23) + (-4)/18 and -61/20.
260
Let n = -23327/54810 - 1/3045. What is the common denominator of -113/180 and n?
540
Let w(j) = 25*j**2 - 273*j - 207. Calculate the least common multiple of w(12) and 507.
1521
Suppose 3*r - 2*a = 22, -5*r + 2*a + 14 + 20 = 0. What is the least common multiple of 368 and r?
1104
Let s = -6117277/74443 - -2383/29. Calculate the common denominator of s and 43/68.
10268
Let t(o) = 4*o - 19. Let c be t(4). Let b be c/(-2) + (-180)/(-24). Calculate the lowest common multiple of 47 and ((-2)/1 + b)*(-9)/(-63).
47
What is the lowest common multiple of 11 and (9 - (-576)/(-60)) + (-19248)/(-5)?
42339
Let c = 398 + -389. What is the lowest common multiple of c and 19?
171
Let a = -8269 - -5509. What is the common denominator of (-15663)/a + 4/(-1) and -73/88?
440
Calculate the least common multiple of (1/(4/4))/1 - -3 and (6 + 232/16)*4.
164
Suppose -c + 5*x = -1, -x + 50 = 4*c + 2*x. Let u be 0/((45/3)/5). Suppose -m + 2 + 2 = u. Calculate the least common multiple of m and c.
44
Let j(g) = -g**3 - 9*g**2 - 11*g - 9. Let l be j(-8). Let m = l + -7. Calculate the least common multiple of m and (48/144)/(2/18).
24
What is the common denominator of (-729)/6*4/48 and (-188)/(-15) + (-2)/6?
40
Suppose -126 = -12*v + 19*v. What is the common denominator of 18/(-20)*(-15)/(-14) and (v/(-84))/(4/70)?
28
Suppose -3*x + n = -20 - 5, 3*x + 5*n - 55 = 0. Suppose x*u = 13*u - 30. Let d = -5 + 9. Calculate the smallest common multiple of d and u.
20
Calculate the common denominator of 9/68 and (51/12 - 6)*(-8)/289.
1156
Suppose -16*i + 683 = -405. What is the smallest common multiple of 12 an