common multiple of 180 and ((-1321)/(-2) - (-15)/(-30))*(-9)/(-6)?
1980
Let k be (12 - 27)*(-28)/10. Suppose -4 = -4*n, 0 = -0*u - 5*u - 2*n + k. Calculate the lowest common multiple of -36*(12/u + -3) and 16.
432
Let w = 140 - 726. What is the common denominator of -69/32 and (-15)/5 - (w/(-160))/(-1)?
160
Let x be 6/45 + (0 - (-5515)/(-300)). Let g = x + 16. Calculate the common denominator of g and 34/13.
52
Let q(o) = 41*o - 10. Let b = 3722 + -3720. What is the least common multiple of q(3) and b?
226
Calculate the common denominator of -71/4 and ((-59)/(-10) + 22/(-55))/((-4)/1).
8
Let o(k) = 69*k**2 + 195*k + 389. Calculate the smallest common multiple of o(-2) and 75.
825
Let h = -11 + 21. Let z(n) = 117*n - 5810. What is the smallest common multiple of z(50) and h?
40
Let l(a) = 2*a - 1. Let k be l(-4). Let f = k + 12. Calculate the common denominator of 67/4 and 0 + f + 194*(-2)/72.
36
Let y = -18165 + 18236. Let o(d) = 9*d + 1. Calculate the least common multiple of o(1) and y.
710
Suppose -3*v - 3*n - 109 - 68 = 0, 0 = -2*v - 5*n - 109. What is the lowest common multiple of 57 and v/(-7) + 5/35?
171
Let r = 121 - 61. Suppose 9*x - 15 = 4*x. Suppose 5*t = -3*b + 80, -64 = -4*t - 0*t - x*b. Calculate the lowest common multiple of r and t.
240
Let j(x) = 13*x - 8. Let o = 62 + -58. Suppose -3*l = o*l - 28. What is the least common multiple of j(l) and 12?
132
Let t(a) = a - 34. Let u be t(14). Let v(g) = -8*g - 42. Let x be v(u). Let y = x + -42. Calculate the lowest common multiple of y and 18.
684
Calculate the common denominator of (-639)/27*(-1 + 4/240*59) and -79/5796.
28980
Let q = 6 - 8. Let n = -326789/18 - -18159. Calculate the common denominator of 44/q*(-3)/(-12) and n.
18
Let b = 91 + -32. Suppose 113 = 9*v + b. Calculate the least common multiple of v and 11.
66
Suppose g = -3*f + 1899 + 1098, 5*f - 35 = 0. Calculate the lowest common multiple of g and 744.
2976
Let z = -2041/14 + 990/7. Let c = -107098/1877513 + 68/943. Let f = -261361/35838 + c. What is the common denominator of z and f?
126
Let q(c) = -c**3 - 5*c**2 - 2*c + 1. Let k be q(-4). Calculate the common denominator of 15 - (13/65 + (-216)/(-15)) and (-27)/k*(-21)/10.
10
Suppose 2*u + 5*d - 78 = 0, -5*u - 171*d + 176*d = -90. Let y = 0 + -1. What is the lowest common multiple of (9 + y)*(-27)/(-12) and u?
72
Let h(f) = -5*f**3 + 1 + 0 - 2 - 6*f**3. What is the least common multiple of (29 - 22)*(-110)/(-35) and h(-1)?
110
Calculate the common denominator of -43/5432 and 6/(576/(-568))*3 - (-1 + -3).
5432
Calculate the common denominator of -79/602 and (-38331)/(-6450) + (-8 - (-6 + -7 + 11)).
15050
Let v = -125 + 73. Let x = 145 + v. Suppose -4*k = 3*f - 2*f - x, -4*k + 98 = 2*f. What is the lowest common multiple of 26 and k?
286
Calculate the common denominator of (8/12)/(1268/(-112) - -3) and 20/2097.
2097
What is the common denominator of -51/2 and (330/(-119284))/(-15)*-93?
5422
Let i = 2/12031 - 373093/794046. Calculate the common denominator of 77/582 and i.
6402
Let d be 4/24 + (-595)/(-30). Suppose -2*i = -d - 46. Calculate the smallest common multiple of i and 15 + -1 + (7 - 6).
165
Let w(z) = z**2 + 14*z + 34. Let y(l) = -24*l + 1 - 12 - 4*l**2 + 0*l**2 + 2*l**2. Let h be y(-12). Calculate the least common multiple of w(h) and 8.
8
Suppose g = 4*c - 2*g - 31, c = -3*g - 11. Let a = 4709 + -4541. Find the common denominator of 212/a - c/(-6) and 53/3.
42
Suppose 13*j - 273 + 52 = 0. Suppose j*b = i + 12*b - 28, 4 = 4*b. What is the lowest common multiple of i and 11?
33
Let b(y) = 772*y - 984. What is the least common multiple of 168 and b(2)?
1680
What is the smallest common multiple of (3560/(-12) + -4)/((-39)/234) and 4961?
19844
Suppose 3*r - v - 4057 = 0, 2716 = 36*r - 34*r + 5*v. What is the smallest common multiple of 1107 and r?
12177
Let m = -44 - -30. Let z = 53/78 + -76/13. Find the common denominator of 527/154 + 4/m and z.
66
Suppose -128*k + 129*k + 380 = 4*g, 4*g + k - 372 = 0. Calculate the smallest common multiple of g and 6.
282
Let c = -6394045/671684 - -5/25834. Let o = -42/13 + c. Calculate the common denominator of o and 974/168 - 4/(-14).
12
Let n = -1/74595 + 2262787/5370840. What is the common denominator of -89/810 and n?
3240
Let j = 441 - 265. Suppose 0 = 180*w - j*w + 16. What is the lowest common multiple of 12 and 9/(-6)*24/w?
36
Let d = -47288 - -47291. What is the smallest common multiple of 14424 and d?
14424
Suppose j = -a + 611, 1722 = 5*a + 4*j - 1336. Let d = 624 - a. Suppose 5*f + 69 = 2*q, 3*q + 5*f - 76 = 7*f. Calculate the least common multiple of d and q.
110
Suppose -66 + 276 = 2*q. Suppose -5*f + q = 5. Suppose 5*w - 45 = -4*b, -6*w + 21 = 2*b - 5*w. Calculate the smallest common multiple of f and b.
20
What is the common denominator of -7/4 and ((-556)/270)/((-17280)/(-648))?
1800
Let p = 70 + -76. What is the common denominator of 38/3 and (-5 - p)/(39*5/70)?
39
Let o = -847030 - -54211237/64. Let a = -5/64 + o. Find the common denominator of a and -53/14.
14
Let l(j) = -895217*j**3 - j**2 - 2*j + 3. Let g be l(3). Let v = -21318704461/882 - g. Let n = v + -32/49. Calculate the common denominator of n and 121/12.
36
What is the common denominator of 8/(8704/1724) + (-36)/24 and 21/160?
2720
Let s(f) = 117*f + 153. Calculate the least common multiple of s(12) and 24.
12456
Let t = 250 - 46. Calculate the smallest common multiple of t and 38.
3876
Let u = -17925 + 1451951/81. What is the common denominator of u and 1/90?
810
Let l = -28041749/310 + 90457. Find the common denominator of -85/744 and l.
3720
Let k = -1 + -3. Let g = k + 13. Let v = -507360 - -507371. Calculate the smallest common multiple of v and g.
99
Suppose -2*k + 177 = 2*b + 157, k = 4*b - 10. Calculate the least common multiple of 164 and b.
164
Let k be (-23318)/(-4) + 30/20. Let m = k + -58401/10. What is the common denominator of 76/3 and m?
30
Suppose -5*n + 4*l + 1148 = 0, -458 = -2*n + 11*l - 10*l. Calculate the common denominator of 23/15 and 0 + 5 + n/(-35).
105
Suppose 30 = 41*p + 153. Let m(z) = 2*z**2 - 10*z - 38. What is the least common multiple of m(p) and 1166?
5830
Let w(v) = -3*v**3 - 19*v**2 - 6*v - 2. Let q be w(-6). Let x = 9 + 19. Find the common denominator of ((7 - -1)/q)/((-22)/x) and 5/11.
11
Let l(k) = 39*k + 4*k**2 - 38*k + 68 - 3*k**2. Let g = -4679 - -4701. Calculate the smallest common multiple of l(0) and g.
748
Let d = 21752 + -21514. Calculate the smallest common multiple of 49 and d.
1666
Let n be (1/(-2))/((-2)/100). Let w = -91 - -91. Suppose w = -2*k + n + 1. What is the least common multiple of 6 and k?
78
Suppose -7*b + 1022 = -0*b. Let o = b - 96. Find the common denominator of 44/5 and (o/(-195))/(-4*(-1)/30).
65
What is the lowest common multiple of 5 and -18*17/306*(-1*21 - 2)?
115
Suppose 3*b = -3, -h + 3 = b + b. Suppose -6*j + 28 = -7*j - 4*o, 3*o = -h*j - 123. Calculate the least common multiple of 1 and (-6)/2 + 1 - (1 + j).
21
Suppose 3407 = 21*l + 3188 - 7740. Calculate the least common multiple of l and 6.
2274
Let i(o) = 62*o + 110. What is the lowest common multiple of 2080 and i(15)?
2080
Suppose -76 = -7*f + 5*f. Suppose -52*p + 107 = 33 - 30. Calculate the lowest common multiple of p and f.
38
Let f = 43885/6 + -7293. Find the common denominator of f and (-5)/(45/(-6)) + (-11268)/2160.
60
Let r = -614 - -616. Suppose 3*z + r*z - 24 = -2*y, -z - 4*y = -12. Calculate the lowest common multiple of z and 312.
312
Suppose -1006 = -5*a - 4*b, 3*b = 4*a + 2*b - 788. Let x = 1 + 3. What is the least common multiple of 77/x + (-12)/(-16) and a?
1980
What is the common denominator of 41 and 4484/(-8528) + 178/1157?
164
Let n(y) = y**2 + 5*y - 2. Let w be -3 + (-1)/((28/32)/(-7)). Let x(j) = j**3 - 3*j**2 - 10*j + 2. What is the lowest common multiple of n(5) and x(w)?
48
Let i be -3 + (-4)/((-16)/60) + 0. Suppose -i*g - 8 = -16*g. Calculate the common denominator of (4/24)/(((-18)/213)/g) and 97/8.
72
Suppose 5671*r = 5661*r + 2440. What is the lowest common multiple of r and 26?
3172
Let n = 193327873013/624 + -309820240. Let w = -916/13 + n. Find the common denominator of w and ((-26)/44)/((-3)/9).
528
Suppose -4*p - 3*c + 2*c + 49 = 0, 3*p + 4*c = 40. Suppose 4 = 8*i - p. What is the