2 = 0. Calculate the least common multiple of 30 and i.
180
Suppose 20*n + 90 = 5*n. Let h be (2/(2/(-351)))/1. Calculate the common denominator of (-14)/n*h/36 and 53/22.
44
What is the common denominator of (-30)/(-135) + ((-1002)/(-675) - 2) and 41/215?
3225
Let g(d) = -3*d**2 - 47*d - 74. Calculate the lowest common multiple of g(-13) and 56.
840
Let i be (-3)/(6/(-4)) - (45 + -41). What is the least common multiple of ((-16)/(-5))/(i/20*-2) and 14?
112
Suppose 12*r = 2*r - 14950. What is the common denominator of -107/12 and (r/330)/13*-9?
132
Suppose x - 22 - 48 = 0. Suppose 12 = x*u - 68*u. Calculate the least common multiple of 11 and u.
66
Suppose -17*o + 8*o + 198 = 0. Let t = -54 + 66. What is the least common multiple of o and t?
132
Let s be 108/1 - (1 + -3). Suppose 5*c + 30 = s. Calculate the lowest common multiple of ((-196)/245)/(1/(-15)) and c.
48
Let t = 28 - 18. Let k be -3 - 6/(-3) - -3. Suppose 0 = k*l + l - 18. What is the least common multiple of t and l?
30
Suppose 0 = -a + 4*a - 27. Suppose 3*b - 5*b + 22 = 0. Calculate the smallest common multiple of (-25)/(-4) + a/12 and b.
77
Let o(r) = -13*r**2 + 41*r - 4. Calculate the least common multiple of 954 and o(3).
954
Let j = 0 - -4. Suppose h - 24 = -2*g + 5*h, 0 = -3*h - 15. Calculate the least common multiple of g and j.
4
Let j = 12/1153 - 50119/51885. What is the common denominator of 1/45 and j?
45
Let g(u) = -u**3 - 8*u**2 + u + 6. Let p be g(-8). Calculate the lowest common multiple of (p + (-10)/(-4))*26 and 11.
143
Let f = 3 - 1. Let d be (-3)/6 - (-1)/f. Suppose d*u + 14 = 2*u. What is the least common multiple of u and 23?
161
What is the common denominator of 19/44 and (-15)/(-6)*535/(-250)?
220
Let q(n) = 2*n + 130. What is the least common multiple of 36 and q(15)?
1440
Let i = 20 + -14. Let d = 9 + 29. Suppose 50 = d*j - 33*j. Calculate the smallest common multiple of i and j.
30
Suppose 3*f = 24 - 15. Suppose f*k = 16 - 4. What is the lowest common multiple of 17 and k?
68
Suppose 2*z + 63*y = 59*y + 144, 4*z - y = 288. What is the least common multiple of 20 and z?
360
Let d be 16/(-32)*(-6)/(-109). Let c = d + -5535/872. Let a = -59671/42 - -4247/3. Calculate the common denominator of c and a.
56
Calculate the lowest common multiple of 10 and ((-40)/(-6))/(-10 - 341/(-33)).
20
Let k(p) = -3*p**3 + 34*p**2 + 140*p + 13. What is the least common multiple of k(-4) and 216?
1512
Let f be 1/((-1 - 1)/(-8)). Suppose 0 = f*c - 45 - 7. What is the least common multiple of c and 4?
52
Let u = 9 - 9. Suppose -d = -u*d - 92. Calculate the common denominator of 3*d/252*3 and 14/5.
35
Let g = -135 + 153. What is the least common multiple of g and 135?
270
Suppose 0 = 5*s + 4*f + 36, 4*s - 5*f + f = 0. Let k be -1*(-1 + (-4)/(-2)). What is the least common multiple of -8*(k + 1/s) and 6?
30
Calculate the common denominator of 23/10 and ((-164)/60*-3)/((-33)/5).
330
Let a = 57 - -158. Suppose a = 4*g + g. Suppose -5*c - 4*r - 16 = -g, 0 = -c + 5*r - 12. What is the smallest common multiple of 11 and c?
33
Suppose 2*g - 3*f + 171 = 3*g, 769 = 4*g - 5*f. Calculate the least common multiple of g and 8.
744
Let x be 2/2*(9 - 4). Suppose 0 = -h + 2*y - 2 + 9, x*h = 5*y + 20. Let c = -3284 - -3292. Calculate the smallest common multiple of c and h.
8
What is the common denominator of (-63)/11 - (10 + -12) and 15/13?
143
Let c(o) = -o**2 + 3*o + 1. Let u be c(3). Suppose -h + u = -5*k, -2*h + 5*k + 6 = -1. Find the common denominator of -89/16 and h/(-27)*130/(-8).
144
Suppose 10 = 6*l - l, -4*g + 22 = 3*l. What is the least common multiple of g and 26?
52
Suppose 3*f + 119 = -9*m + 14*m, 12 = -4*f. Suppose -5*n - 5*d + 1186 = -149, 509 = 2*n - 3*d. Calculate the smallest common multiple of m and n.
2882
Let o = -1647545/44 - -37446. Find the common denominator of o and 25/286.
572
Suppose 0 = -b + 3*b - n - 57, 0 = -5*b - 4*n + 123. What is the lowest common multiple of b and 14 - (-5 + 1) - 0?
54
Let c = -1662 + 14977/9. Suppose 0 = -f - 4*l + 10, -2*l + 20 = 2*f + f. Calculate the common denominator of (1/f)/((-8)/636) and c.
36
Let k be (-204)/(-10) - (-10)/(-25). Suppose 0 = 5*n - k, 2*x = -2*x - 4*n + 44. Let y = x - -15. What is the least common multiple of 22 and y?
22
Suppose -6*k + 587 - 203 = 0. Calculate the smallest common multiple of k and 2.
64
Let f = 1412659/1048536 + -2/43689. Calculate the common denominator of f and -39/8.
72
Let h = -8 + 23. Suppose 3*i - 15 = h. Let l(z) = -10*z + 32. Calculate the smallest common multiple of l(-3) and i.
310
Calculate the lowest common multiple of 12640/560 - 4/7 and 1092.
12012
Let x be 5 - 3 - (-1 - 2). What is the common denominator of ((-6)/x)/((-16)/20) and -101/4?
4
Let z = 8/9033 - -411979/596178. Calculate the common denominator of z and -31/126.
1386
Let a(k) = k**2 + 42*k + 404. What is the lowest common multiple of a(-28) and 380?
1140
Suppose 0 = -i + 5*i - 72. Suppose 0 = -4*m - a + 27, 0 = a - 30 + 31. What is the least common multiple of m and i?
126
Suppose 4*i + 450 = -i. Calculate the common denominator of 0 - (-2)/((-8)/(-11)) and (-233)/(-30) - 12/i.
20
Suppose 2*h = -0*j - 3*j + 42, 105 = 5*h + 5*j. Calculate the smallest common multiple of h and (-1)/(44/(-6) - -7).
21
Let g = 955 + -8656/9. Find the common denominator of -187/60 and g.
180
Let u(i) = 5 - 1 - 5 - i - 3. Suppose -4*x + 6 = -2*g, -3*g = 2*x + 3*x + 31. What is the least common multiple of 6 and u(g)?
6
Let d = 215 - 197. Calculate the lowest common multiple of d and 18.
18
Suppose 0 = 5*m + 11 - 1. Let t be 24 - (m - 0) - 3. Let d = t + -13. What is the least common multiple of 5 and d?
10
What is the common denominator of (220/(-825))/(4/82) and -19/24?
120
Let j(a) = a - 2. Let b be j(2). Suppose 48 = -b*i - 4*i. Calculate the least common multiple of (-6)/i + (-46)/(-4) and 2.
12
Find the common denominator of -85/24 and (3 - (10 + -7)) + 5/(-33).
264
Suppose 2*o + 9 - 7 = 0. Calculate the common denominator of o/(-5)*(-830)/(-8) and -10/3.
12
Let c be ((-122)/(-6))/(-2*4/288). Calculate the common denominator of c/1080 - 6/10 and 73/42.
126
What is the common denominator of 1/32 and ((-195)/572)/((-6)/28)?
352
Suppose -5*f + 363 = -37. What is the smallest common multiple of 20 and f?
80
Suppose -3*o + 5*o + 5*a = 99, 3*o + 3*a - 144 = 0. Suppose -3*i + 4*f - 18 = -63, 0 = 4*i - f - o. What is the least common multiple of i and 4?
44
Let s = 2416 - 36268/15. Find the common denominator of s and 328/(-18)*(-15)/(-80).
60
Let u be (-818)/(-1 - (3 + 0)). Let n = -227 + u. What is the common denominator of n and -43/2?
2
Suppose 0 = n + 1, 5*o + 7*n = 3*n + 671. Calculate the least common multiple of 54 and o.
270
Let i = 61021/2 + -31219. Let x = 667 + i. Find the common denominator of x and -18/5.
10
What is the least common multiple of 1/2 + 752/32 and 14?
168
What is the common denominator of 107/12 and (-4)/(-48)*(-1755)/(-611)?
564
Let n(q) = q**2 - 4*q + 9. What is the least common multiple of n(7) and 2475/200 - 3/8?
60
Let j = -223216/5 + 44413. Let l = j - -1302/5. Let n = l - 3317/110. What is the common denominator of n and 97/8?
88
Let o be (-2202)/(-3318)*2/4. Let v = 2/79 + o. Find the common denominator of v and -37/34.
238
Let z = -402/7 - -1231/14. What is the common denominator of -21/20 and z?
20
Let y be ((-123)/32)/3 - (-4 + 0). Let w = 6607/2336 - y. What is the common denominator of 61/8 and w?
584
Suppose -p = -8 + 3. Let a(m) = -2*m**3 - 2*m - 1. Let n be a(-1). Suppose 2 = p*w - n. What is the least common multiple of w and 11?
11
Let x(u) = u**2 + 15*u - 29. Let b be x(-17). Find the common denominator of 22/5 and 4/((-64)/226) + b.
40
Let s = 3132/23 - 384243/2806. Calculate the common denominator of s and 91/22.
1342
Let d = -97/3 + 857/24. Let m = -315/2132 + 61/82. Find the common denominator of d and m.
104
Let l = -11 - -12. Find the common denominator of (-1)/2 - 322/63 and ((-417)/(-54))/(0 - l).
18
Suppose -d = -4*n - 5*d + 64, -n + 31 = 4*d. Let r(a) = -22 + 3*a + 16 + 19. What is the smallest common multiple of r(-4) and n?
11
Let w be (-1)/(-2)*-1*18. Let r = 15 + w. What is the least common multiple of r and 12/10*500/15?
120
Let x(y) = 5*y + 45. Let p be x(-9). Suppose 5*r - 10 - 80 =