ate the smallest common multiple of n and 10.
960
Let j be (-3)/(-2) - (-12)/(-8). Suppose 5*h - 6*h + 40 = j. Calculate the common denominator of 15/(-20) - (-62)/h and 11/6.
30
Let b = 6294 - 377653/60. What is the common denominator of b and -63/16?
240
Let x be 1 - ((-688)/(-2) - -3). Let z = x + 216. Let a = z + 436/3. What is the common denominator of a and -18/5?
15
Let l(g) = g**3 + g**2 - 25*g + 1746. What is the smallest common multiple of l(0) and 6?
1746
Let y = -1/3824391 - 123911543189/30595128. Let m = -4055 - y. What is the common denominator of m and 65/12?
24
Suppose 16 = 3*i + i. Let g(h) = 5*h - 2*h**3 + 3 - 5*h**2 - 3 + 12 + h**3. Calculate the least common multiple of g(-6) and i.
36
Let f = -13 - -21. Calculate the common denominator of 43/6*3 + -2 and (-2)/f - 306/264.
22
Suppose -2*r - 13 = -27. Suppose 10*s - 127 + r = 0. Calculate the lowest common multiple of 16 and s.
48
Suppose -4*o - 2 = o + 2*i, -5*i - 5 = 5*o. Suppose o = -2*d - 5*a - 12, -3 + 7 = -a. What is the smallest common multiple of d and 9?
36
Let t(i) = 8*i**2 - i. Let n be t(-1). Find the common denominator of (n/(-66))/((-9)/168) and -43/5.
55
Let y(i) = -i**2 + 123. Calculate the lowest common multiple of 7 and y(-11).
14
Let w be (-35)/(-15) + (-4)/(-6). Suppose 3*i + i - 14 = -2*h, 0 = 4*i + w*h - 9. What is the least common multiple of (i/7)/((-36)/(-336)) and 7?
56
Suppose -b = -6*o - 18, -53 = -b - 4*o - 15. Calculate the smallest common multiple of b and 597.
5970
Let n(k) = -k**2 + 8. Let a be n(4). Let m = 0 - a. What is the smallest common multiple of m and 6?
24
Let x = -1869 - -1974. What is the smallest common multiple of 49 and x?
735
Let x(y) = -16*y - 89. What is the least common multiple of x(-7) and 8?
184
What is the common denominator of 29/42 and (-1 - 5/35)*117/52?
42
Let x(d) = 102*d**2 - 2*d - 2. Let a be x(-2). Let c be 4/8*a/(-1). Find the common denominator of c/(-15) + 2/(-1) and -18/11.
33
Suppose 3*v + 5 = g, 3*g - 5*v = -8*v + 3. Suppose 5 = 4*m - 7. Suppose -5*o - 2*q = -m*q - 22, 0 = 2*o - q - 7. What is the least common multiple of g and o?
10
Let p = -9 - -10. Let g be p*(3 - 3) + -11. Let b = 13 + g. Calculate the smallest common multiple of 10 and b.
10
Suppose 0 = -x - 2*s + 30, 2*x - 6*s + s - 96 = 0. Suppose 34 = 3*c - 4*u, -4*c + 4*u + 2 = -x. What is the lowest common multiple of 17 and c?
102
What is the common denominator of 475/(-30) + 0 - -5 and (93/(-24))/((-10)/(-12))?
60
Suppose 2*u - 10 + 2 = 0. Suppose -2*i = z - 65, -u*z - 3 + 7 = 0. What is the smallest common multiple of i and 6?
96
Calculate the lowest common multiple of 56 and (-12)/(132/(-1199)) + 3.
112
Find the common denominator of 22/(-110) + (-307)/140 and 8/105.
420
Let x = -4619/14 - -334. Let r = 3 - 2. Calculate the common denominator of x and r/(-1 + 298/274).
84
Find the common denominator of -17/30 and (-22)/(-33)*(31/86 + -1).
1290
Let w(d) = -7*d**2 + 10*d**3 + 7*d - 3 + 3*d**3 - 12*d**3. Let o be w(6). Suppose 3*k - o = 27. What is the least common multiple of k and 2?
10
Let u = -401003/40 + 20055/2. Calculate the common denominator of -9/8 and u.
40
Let m(w) = 2*w**3 - 2*w**2 - 5*w + 5. Calculate the least common multiple of m(3) and 20.
260
Let f be (-1)/(-3) - (-155)/93. Let t(c) = -2*c**2 + 6*c - 5. Let u be t(-5). What is the common denominator of 67/24 and (u/(-220))/((-1)/f)?
264
Let g = 208 + -1459/7. Calculate the common denominator of g and (242/55)/((-24)/(-70)).
42
Suppose -2*b + 71 = m, -m - 109 = -b - 2*b. Let x = b - 12. Calculate the lowest common multiple of 27 and x.
216
Let g = 5749/5 + -1160. Calculate the common denominator of g and -8/93.
465
Suppose -5*i + 3*c + 253 = 0, 0*i + i - 2*c = 52. What is the lowest common multiple of 25 and i?
50
Let u be ((-3)/42)/(31 - -10). Let l = 16931/1148 - u. Find the common denominator of l and 95/4.
4
Let r = 92956/182511 - 4/2897. Let t = 7525 + -45001/6. Find the common denominator of t and r.
126
Find the common denominator of (2*(-1)/96)/((-96)/(-704)) and -55/216.
216
Let w be (78/18)/((-2)/24). Let t = -25 - w. Find the common denominator of -1 - (-4)/((-16)/(-158)) and t.
2
Let w = 5 - 3. Let v = w + 16. Let o(u) = 126*u + 774. What is the smallest common multiple of o(-6) and v?
18
Let s = -485 - -493. What is the common denominator of (-58)/4 - (-2)/3 and s?
6
Let w(j) = -j**2 + j + 5 - 2 + 3. Let l be w(3). What is the common denominator of 109/6 and 11/(2*(-5 + l))?
30
Suppose 1 = -q + 4. Suppose -q*d = -5*d + 18. What is the lowest common multiple of 3 and d?
9
Let v = -7002 - -77078/11. Let h = 1155 + -10384/9. What is the common denominator of v and h?
99
Let r(b) = 32*b**2 - 11*b - 20. What is the lowest common multiple of 39 and r(-2)?
390
Suppose 0 = -5*z + 4*z + 9. What is the smallest common multiple of -4*(-6)/(-30)*(-150)/4 and z?
90
Let v = -4137221 + 45468347/11. Let s = -3732 - v. Find the common denominator of s and -8/3.
33
Let i = -570 - -728. Calculate the lowest common multiple of 20 and i.
1580
What is the smallest common multiple of (-5345)/(-35) - (-8)/28 and 15?
765
What is the smallest common multiple of 602 and 3*26/(-351) + 101/9?
6622
Find the common denominator of -17/50 and 2/(-30)*1242/480*1.
400
Let p(y) = -y**3 + 3*y**2 + 2*y + 2. Let w be p(4). Let c = w - -14. Suppose 3*d + 2 - c = 0. What is the lowest common multiple of 10 and d?
10
Suppose -50*c + 3518 = -7732. What is the least common multiple of 225 and c?
225
Let o be 1/2*(-4 + 30/5). What is the least common multiple of (4*o/(-3))/((-42)/189) and 1?
6
Let n be (-4)/6 - (-2318)/48. Let q = -285514/9 + 253467/8. Let u = n + q. What is the common denominator of u and 33/5?
45
What is the smallest common multiple of 20 and 1 + 16 - 22/22?
80
Suppose 6*n - 5*n - 1 = 0. Let v be 0 - (356/5 - n). Let y = 779/10 + v. What is the common denominator of y and 1/18?
90
What is the lowest common multiple of 1/1*(-49 + 69) and 6 - 0*(-1)/2?
60
What is the least common multiple of -1 + 135 + 0/(-1 + -1) and 4?
268
Let b be (-30)/10*(-3)/(-1). Let a = 2271 - 13673/6. What is the common denominator of 3/b + (-73)/(-12) and a?
12
Let t be 3 + -2 - (-1 - -1). What is the common denominator of t/7 + 3992/(-112) and -51/20?
20
Suppose -21 = 5*w + 3*d, -3*d = 3*w - 5*w. Suppose 4*y + 5*k = 17, 2*y - 5*y + 11 = 2*k. What is the smallest common multiple of y and (-164)/(-24) + w/(-18)?
21
Let d(a) = 2*a + 4. Let s = -2 + -28. What is the lowest common multiple of (16/(-20) + 0)/(3/s) and d(6)?
16
Let y(s) = -s**2 + 16*s + 10. Let f be y(17). Let o(n) = -2*n + 2. What is the smallest common multiple of 1 and o(f)?
16
What is the smallest common multiple of 1 and ((-15)/60)/(1/(-424))?
106
Let i = -8030 - -96209/12. Find the common denominator of 79/(-1*(-1 + -23)) and i.
24
Let l = -3200635/2734072 - -6/31069. Let y = 8183/20 - 409. What is the common denominator of l and y?
440
Find the common denominator of 110/1650 - 86/135 and 137/90.
270
Let p = 307/22 - -50/11. Calculate the common denominator of 129/350 and p.
350
Let l = -2023/260 + 2/65. Suppose 2*d - 5*b = -38, d + b + 13 = 1. What is the common denominator of 4/d - (-7044)/840 and l?
20
Suppose q - 2*r = 561, 2008 - 321 = 3*q - 2*r. Let u = 1069 - q. Find the common denominator of 32/3 and u/80 - (-5)/(-25).
24
Let w(b) = -b**3 + 4*b**2 + 1. Let j be w(5). Calculate the common denominator of ((-2)/3)/(j/94) and -93/22.
198
Suppose -2*t = -4*b + 3*b, 45 = 5*b + 5*t. What is the lowest common multiple of b and (-1)/(8 - (-875)/(-110))*-1?
66
Let f = -21 - -17. What is the common denominator of -109/30 and 2/(-90)*6/f*-79?
30
Find the common denominator of -43/40 and 21/(-21) + 4/(288/(-230)).
360
Let o = -67223 + 338758/5. Let v = -23977/45 + o. Calculate the common denominator of 21/8 and v.
72
Calculate the common denominator of 31/88 and 24/(-18)*27/192.
176
Let f = 14 - 7. Let x(n) = 18*n + 64. Let j(c) = 9*c + 32. Let w(h) = -9*j(h) + 4*x(h). Calculate the least common multiple of w(-4) and f.
28
Find the common denominator of 17/16 and 3895/(-1968) - 2/(-12).
16
Let v = -38677/2802 + -14/467. Find the common denominator of v and (-1)/(-3) + 103/(-6).
6
Let t = -16363/22 - -744. Let j be (6/(-18))/((-1)/114). What is the co