6) + 8/14 and 77/10.
180
Let y = 102101411/742 + -137603. What is the common denominator of -35/424 and y?
2968
Suppose -4070*k + 4068*k = -44. Calculate the least common multiple of k and (-1)/4 - (-82)/8.
110
Let n(m) = m**2 + 12*m + 18. Let c be ((-16)/6)/((-4)/6). Suppose -5*y = -c*q + 412, -114 = -3*q + 2*q + 4*y. What is the least common multiple of n(-12) and q?
882
Suppose y = 2*y - 18. Suppose -51354 = -1278*i + 17658. Calculate the lowest common multiple of y and i.
54
Let a = 1736 + -1252. What is the smallest common multiple of 1936 and a?
1936
Let y = -36 + 19. Let h = y + 81. Let d = h - 54. Calculate the smallest common multiple of d and 16.
80
Let j be 6/(-1 - 2120/(-2115)). Let a = j - 12747/5. Find the common denominator of a and 63/4.
20
Let l(w) = 4*w - 12. Let i be l(5). Suppose 0 = 9*u - i*u - 5. Let r = -405 + 411. Calculate the least common multiple of u and r.
30
Let x = 21 - 25. Let o be (2/5)/(4/(-22460)*x). Let b = -1733/3 + o. Calculate the common denominator of 24/5 and b.
30
Suppose 2*r = 3*r + 18. Let x = 18 + r. Let d = x - -17. What is the lowest common multiple of d and 5?
85
Let r be (-1)/3 + (-2518)/(-21). Let u = 13735/112 - r. Calculate the common denominator of u and 23826/968 - 20 - 3/4.
176
Suppose 8*c - 94 = 34. Calculate the least common multiple of c and 438.
3504
Let k = 1 + 0. Let p(u) = 50*u + 35. Let g(c) = -c**2 + 101*c + 72. Let h(d) = 3*g(d) - 7*p(d). What is the least common multiple of k and h(-15)?
1
Let c(o) = o**2 - 36*o - 148. Let q be c(40). Suppose 0 = 3*v, -v + q = -2*z + 88. What is the common denominator of 29/247 and z?
247
Let g = -1342698181/28896 - -325266/7. Calculate the common denominator of g and 65/112.
28896
Let x = -4529/4 + 13301/12. Calculate the common denominator of (-14)/(-36)*(-5658)/6440 and x.
120
Suppose 25 = -5*w - 0*b + 4*b, -b + 9 = -4*w. What is the common denominator of -151/12 and w/2*9*38/(-30)?
60
Suppose 13*n - 35 + 22 = 0. What is the lowest common multiple of (-16)/24*3 - n*-42 and 25?
200
Let w(o) = -8*o - 74. Calculate the least common multiple of w(-18) and 175.
350
Let t(p) = 9*p**3 - 34*p**2 - 17*p + 48. Calculate the least common multiple of (324/(-5))/((-1)/10) and t(4).
648
Let m = -41224/119 - -2728/7. Let y = m + -12332/255. Find the common denominator of 35 and y.
15
Let q = -497883 + 345032843/693. Find the common denominator of 61/792 and q.
5544
Let p = -243175/33 + 7368. Find the common denominator of ((-385917)/432)/(-47) + -20 and p.
1584
Suppose 40*x - 75 = 85. Suppose g + 4323 = 15*s - 12*s, -2*s = x*g - 2868. Calculate the least common multiple of s and 10.
1440
Let a = -1143947/9711 + 1060/9. Find the common denominator of a and 73/130.
10790
Let q be (-6)/(-48) + (-16515917)/(-4114728). Let y = q - -2/57149. Calculate the common denominator of y and 47/90.
180
Let w = -57 - -59. Suppose 0 = 4*a - 0*m - m - 41, 0 = 3*a + 5*m - w. What is the least common multiple of a and 33?
99
Calculate the common denominator of ((-62)/26)/(-4 + (6 - -9)) and 149/66.
858
Suppose -3*w + w - 548 = -5*p, 2*w = 4*p - 440. Find the common denominator of 363/70 - p/18 and -37/20.
140
Let d = -5 - -3. Calculate the common denominator of 8/(192/(-305)) - (-1)/(-8) and d*2/28 - 1.
42
Let x(f) = f**3 + 12*f**2 - 4*f - 27. Let n be x(-9). Calculate the lowest common multiple of 30 and (n/(-315))/((-2)/165).
330
Suppose 3*q = -6*b + 10*b - 42, -2*q = 5*b - 64. Calculate the smallest common multiple of (45/b)/((-2)/(-16)) and 50.
150
Let x = 1567/408 - 47/34. Calculate the common denominator of 81/16 and x.
48
Let y = 6359/18 - 349. What is the common denominator of 197/630 and y?
630
Let w(z) = z**2 - 4*z - 8. Let c be w(5). Calculate the common denominator of (3/(-48))/(6/(-1112)) and -2*c/36 + 175/12.
12
Let r(k) = 47*k**2 - 1. Let u be r(1). What is the common denominator of u/(-280) + (-6)/21 and (1/4 + 1*136)*370/(-13875)?
60
Let c = -25 + 25. Suppose c*n - n + 8 = 0. Suppose -2 + 12 = 5*g. Calculate the least common multiple of g and n.
8
Let z = 1320 + -1304. Calculate the least common multiple of 540 and z.
2160
Let f = -6 - -9. Let q = f + 62. Suppose 15 = u - 3*a, -a + q = u + 2*u. What is the smallest common multiple of 6 and u?
42
Suppose k + 3 = 5, -3*b = 4*k - 767. Suppose 1455 = 14*d - b. Calculate the common denominator of -9/20 and (37/d)/(-1 + 2).
1220
Let j = -383379/5 + 159869081/2085. Let r = j + 145223/154290. Calculate the common denominator of r and (490/(-64))/(55/(-22)).
592
Let q be (16/10)/4 - 9729/(-15). Let g = q + -614. Calculate the smallest common multiple of 35 and g.
35
Let d be (1/(-2))/((-3)/(-18)). Let c be (10/(-180))/(d/(-236733)). Let l = 4377 + c. Find the common denominator of l and -101/18.
18
What is the common denominator of -75/56 and 3/42*1716/26832?
2408
Let l = 750361 - 3133507501/4176. What is the common denominator of l and -47?
4176
Let u be -15*12/(-20) + 91. Let t = 124 - u. Calculate the smallest common multiple of 78 and t.
312
What is the common denominator of (-2131558)/64740 - -24 - 9/(-1) and 1/498?
2490
Let r = -4 + 2. Let a be (14 + -15)/(r/8). What is the common denominator of (-959)/(-21) - (-1 - a/(-6)) and 41/7?
7
Suppose -5 + 1 = j. Calculate the common denominator of j/(-6) - (-307)/30 and (0 - -7) + 918/(-612)*262/54.
90
Let d = 788 + 35. Suppose k + w = -54 + 266, 4*k - d = w. Calculate the smallest common multiple of k and 6.
414
Suppose -l = 9*g - 8*g - 23, -3*g + 3*l = -93. Find the common denominator of 994/(-180) - (-6)/g and 157/78.
390
Let q be (3512/4 - -3) + -2. Suppose 8*t - q = -207. What is the least common multiple of t and 33?
924
Let h(x) = -x**3 + 70*x**2 - 128*x - 324. Calculate the lowest common multiple of h(68) and 80.
880
Let d = 19935 + -1794097/90. Find the common denominator of -22/405 and d.
810
What is the least common multiple of (-34)/(11/396*-3) and 78?
5304
Suppose -3*s + 0*s = -27. Let r(i) = i**3 + 7*i**2 - 23*i - 9. Calculate the smallest common multiple of r(-9) and s.
36
Let f(k) = -k**3 + 6*k**2 + 11*k - 27. What is the least common multiple of 111 and f(6)?
1443
Let g = -23568 + 3087448/131. What is the common denominator of g and 35/786?
786
Calculate the least common multiple of 48 and ((-3)/(-4))/(1169/292 + -23 + 19).
3504
What is the smallest common multiple of 269 - 5 - (-6 + 14) and 320?
1280
Let w = 22 - 3. Suppose -2*p + 21 = -w. Let h = -3 - -19. Calculate the lowest common multiple of p and h.
80
Suppose -11579 = 20*k - 13779. Calculate the least common multiple of 1089 and k.
10890
Let n = 1177 + -1053. Let j(u) = u**3 + 8*u**2 - 21*u - 1. What is the least common multiple of j(-10) and n?
1116
Let z = 458 - 464. Let i be (-6)/(-4)*4/(-6). Find the common denominator of z/(-40)*1*i*4 and 2/7.
35
Calculate the common denominator of (-8451)/(-1512) + -16 + ((-8)/(-7))/4 and 1 + (-1)/(240/362).
120
What is the common denominator of 49/222 and -2 + 3 + (72152/2368)/(-29)?
888
Let m = -7154 - -7166. Calculate the lowest common multiple of m and 1503.
6012
Let v = -9057 - -11737. Calculate the smallest common multiple of v and 2948.
29480
Let s = -43943/204 + 646/3. Find the common denominator of -22/493 and s.
1972
Suppose 0 = l + 3*t - 15, 2*t + 7 = -2*l + 25. Suppose 20*x = 24*x - 440. Calculate the lowest common multiple of x and l.
330
Let t(r) = 5*r - 30. Let i be t(0). Let v = i + 59. Let u(n) = -n + 62. What is the lowest common multiple of u(v) and 39?
429
Let f = -254 - 57. Let z = f - -392. What is the smallest common multiple of 27 and z?
81
Suppose 0 = 5*l + r - 39 - 39, 0 = -2*l + 3*r + 21. Let p be (54/8 - 9/12) + 1. Suppose 0 = -p*o + 38 - 10. Calculate the least common multiple of l and o.
60
Let v = 642/17 + -259874/6885. Find the common denominator of 37/5 and v.
405
Let r = -3131405/6 + 523176. Let n = r + -1284. Find the common denominator of n and 38/13.
78
Let c(h) = h**2 + 8*h - 5. Let w(u) = -3*u + 9. Let k be w(6). Let j be c(k). Let s(t) = 3*t**2 - 3*t + 2. What is the smallest common multiple of s(j) and 4?
76
Suppose 0 = -23*g + 16*g + 56. Find the common denominator of g/((-256)/(-24)) - (-69)/60 and -58/33.
330
Suppose -17*t = -16*t + 4. What is the common denominator of 103/88 and 0 - (-1 - t/(82 + -2))?
440
