((-2145)/10)/(-1) and ((-4823)/30)/(-13) + -11.
60
Let h = 2859446352296383/890 + -3212860528113. Let q = h + -541883. What is the common denominator of 1/4 and q?
1780
Let w = -81050 - -18722471/231. Find the common denominator of w and -119/660.
4620
Let t = -4/27 + 14/9. What is the common denominator of t and 73/90?
270
Let t = 148748 + -148708. What is the smallest common multiple of (16/(-3))/(2/(-9)) and t?
120
Suppose 30 = j + 4*p, 2*j - j - 4*p = -10. Calculate the common denominator of -346*3/480 + (-4)/j and ((-12)/(-4))/(4/(-58)).
16
Calculate the least common multiple of 168 and (0 - (-1)/(-3))/((8 - 20)/2016).
168
Let p = 12 + -3. Suppose 2*l - 24 = -4*z + 7*l, -z = -2*l - p. Calculate the common denominator of 29/6 and -4 + z/((-54)/(-155)).
54
Let d = -48 + 61. Suppose 0 = d*b + 481 + 650. Find the common denominator of -5/22 and 1/4*2/4*b.
88
What is the common denominator of -23/410 and (-7)/(28/(-16)) - (-24357)/(-5658)?
410
Calculate the smallest common multiple of ((-8)/((-288)/117))/((-2)/(-72)) and 143.
1287
Let z be 2/10 + 41/(-5). Let r(x) = -x**2 - 8*x + 10. What is the least common multiple of (-7 - -22)*z/(-6) and r(-8)?
20
What is the smallest common multiple of (2/(4*(-25)/40))/(6/(-195)) and 192?
2496
Let h = 14164818283/1451737044 - 44/1291581. Let x = h - 2/281. Calculate the common denominator of 23/96 and x.
96
Let t = 26571/20 - 1326. Let n(o) = 3*o**3 + o**2 - o - 2. Let w be n(-1). Find the common denominator of t and (-376)/(-16) - (w - -2).
20
Let f = 65495920668007/14554 + -4500200680. Let r = -40/383 - f. What is the common denominator of r and -119/30?
570
Suppose w + 2759 = 3*k, -6*w + w + 3685 = 4*k. Suppose -5*b + k = 3*h + 2*h, -2*h + 3*b = -368. What is the smallest common multiple of h and 18?
1656
Suppose 15 = -c + 51. Let q = 17627 + -17611. What is the least common multiple of q and c?
144
Suppose 4*w + 3*o - 96 = 364, 5*w - 540 = 5*o. What is the common denominator of (-601)/(-90) + 2/(-5) and 78/63*w/(-24)?
18
Suppose -5*w + 3*w = -0*w. Suppose -715 = -5*x + 3*v, w*x + v = -4*x + 555. What is the common denominator of 3 + ((-118)/x - 1) and -101/14?
70
Let p = 1/699 + 4891/1398. Find the common denominator of 95/412 and p.
412
Let q = -439 - -456. Calculate the common denominator of (((-10829)/70)/q)/2 and 34/27.
540
Let d(o) = 2*o - 1. Let v(i) = -i**3 + 4*i**2 + 11*i + 15. Calculate the lowest common multiple of v(6) and d(2).
9
Let v = -44 - -81. Let s = v + 7. Calculate the least common multiple of s and 4.
44
Suppose -10*s - 838 + 338 = 0. Let n(y) = -3*y - 99. Calculate the smallest common multiple of 45 and n(s).
765
Let i = -2/3849 + 157819/19245. Calculate the common denominator of i and -13/506.
2530
Suppose -8*s + 30 = -2. Suppose s*h + 4*h = 552. Suppose -74*l + 60 = -h*l. What is the least common multiple of 44 and l?
132
Let x(d) = 420*d - 342. What is the lowest common multiple of x(1) and 208?
624
Let v = -2360/3 + 796. Let p = 15101/7 - 2150. What is the common denominator of p and v?
21
Let h = 470/19 + -2811/76. Calculate the common denominator of -37/4 and h.
4
Suppose 5*c = 6*c - 2. Suppose 4*i + d - 65 = 0, 52*i + 5*d - 37 = 50*i. What is the lowest common multiple of c and i?
16
Let m be 2*12/(-56) - 21/(-49). Suppose 4*k + 27*s - 29*s - 120 = m, -3*s - 152 = -5*k. What is the least common multiple of 14 and k?
28
Let g = -11979 - -5198901/434. Calculate the common denominator of g and -21/20.
4340
Let a = -10567721/86385520 - -18/83063. Find the common denominator of -101/40 and a.
1040
Let y = 39369 + 2429. Let l = y + -2298957/55. What is the common denominator of -8/5 and l?
55
Let p = -4980 + 4989. What is the smallest common multiple of p and 225?
225
Suppose -i + 72 = -7*i. Let c = 10359/10 + -1043. Calculate the common denominator of 1430/(-280) - (9/i + 1) and c.
70
Let m(q) = 5*q + 3. Let u be m(1). Calculate the least common multiple of (-161)/(-92) + 66/u and 9.
90
Let y = -3119 + 3120. Calculate the least common multiple of 69 and y.
69
Suppose -15 = 6*j - 9*j. Let u = j + -109. Let t = u + 128. What is the lowest common multiple of t and 8?
24
Let y be -34*(-30084)/80 - 1. Let h = y + -12773. What is the common denominator of (-17)/(6188/(-70)) - 2 and h?
130
Let a = 29/28 - 139/21. Find the common denominator of a and 5/148.
444
Suppose 0 = -7*m + 29*m - 567 + 127. What is the least common multiple of m and 120?
120
Let s = 40157 - 69672404/1735. What is the common denominator of s and -44/5?
1735
Let p(v) = -3*v**2 - 21*v - 4. Let q be p(-11). Let b = -118 - q. Calculate the lowest common multiple of b and (-4)/18 - (-47)/9.
90
Let z = 38940504/571 + -68197. Find the common denominator of z and -13/10.
5710
Let z = 121 + -103. Suppose -9*k + z*k = -387. Calculate the common denominator of k and -35/2.
2
Let z be (-2938)/(-39) + 2/(-6). Let i = 42 - z. Let r = -1 - i. What is the lowest common multiple of r and 32?
32
Let z = -168/47 + -2289/188. What is the common denominator of z and (12/(-56))/(12/94)?
28
Suppose 2*c - 4 = -0. Let u = 153 + -150. Suppose -6*b - u*p - 92 = -11*b, p + 4 = 0. Calculate the least common multiple of b and c.
16
Let y be (-3972 - (-2 + 1))/(-1). Let f = 3/5017337 - 418169952328/105364077. Let h = f + y. What is the common denominator of 76/3 and h?
21
Let l = -7417/476 - 20/119. Find the common denominator of (-24626)/1890 + 13 + (-2)/(-15) and l.
540
Let a(s) = s**3 - 7*s**2 - 8*s + 3. Let r be a(8). Let z = 89 + -87. Suppose -z*q + g + r = -6, -g + 3 = 4*q. Calculate the lowest common multiple of 9 and q.
18
Suppose 13*f - 166 - 221 = -36. What is the least common multiple of f and 900?
2700
Let g be -1 + (-6)/(-15) - (-1764)/(-60). Find the common denominator of -51/50 and ((2 + (-9)/6)*51)/g.
100
Let u = 933971/16 + -58378. Let w = 34/1945 - 9577/9336. Calculate the common denominator of u and w.
240
Suppose -6*v + 45 - 15 = 0. Suppose -v*n + 286 = 206. What is the lowest common multiple of n and 22?
176
What is the smallest common multiple of 294 and ((-132)/(-20) + (0 - 5))/((-12)/(-1890))?
1764
Let m = 55 - 51. Suppose -340 = -70*i + 2*i. What is the smallest common multiple of m and i?
20
Let x = 84 + -84. Calculate the common denominator of 7/12 and (x - 35/(-49))/(24/70).
12
Suppose -2*n + 1206 = 3*o, 4*n - 122 = o + 2276. Calculate the common denominator of 20/(-8) - (-1602)/n and -41/2.
100
Suppose -2*v = 73 + 591. What is the common denominator of v/(-3)*(-27)/(-2700) and -46/15?
75
Let y(h) = -2*h**2 + 406*h + 132. Calculate the lowest common multiple of 2718 and y(9).
10872
Let v(c) = c + 5. Let j be v(0). Suppose -3*p - 2*r = -0*r - 26, j*p - 5*r = 85. Calculate the lowest common multiple of p and 12.
12
Suppose -2*d = -4*u + 34, 25 = 3*u + d - 8. Let p(l) = 2*l - 14. Let z be p(u). What is the least common multiple of 6 and (-78)/(-12) + 9/z?
24
Let y = 69 - 56. Let n be (2/4)/(y/(-26)). Let j = n - -31. What is the smallest common multiple of 27 and j?
270
Let z(n) = 126*n**2 - 9*n + 9. Let b be z(1). Suppose 4*o - b = -5*w, 3*o + 15 - 5 = w. Calculate the least common multiple of 114 and w.
1254
Suppose -1 = n - 6, 4*n - 50 = 5*j. What is the common denominator of ((-84)/(-8))/7*j/4 and (-2)/5*7/4?
20
Suppose -o = -b + 13, 2*o = 6 - 8. Let f(g) = -g**2 + 11*g + 12. Let y be f(b). Calculate the least common multiple of (20 - 22) + (y + 6 - 0) and 6.
12
Suppose 2*o = 7*o - 15. Let a(k) = 4*k**2 - 164*k + 1501. Calculate the least common multiple of o and a(8).
1335
Suppose 5*n + 0*n - 28 = -4*z, 0 = 4*n - 16. Suppose 45*c + 3312 = 68*c. Suppose -17*d + c = -d. Calculate the smallest common multiple of d and z.
18
Let p be 15/10 - ((-35420)/(-16) - 1). Let k = 2195 + p. What is the common denominator of k and 4/6 + (-61)/(-9)?
36
Let m be (-4 + 6)/((2/(-3))/1). Let x be -3 - (m - -3) - -3. Suppose x = 4*l + 3*p - 311 + 61, 310 = 5*l + 5*p. What is the least common multiple of 2 and l?
64
Suppose 0 = 3*h + z - 845 - 2010, h = z + 953. Suppose 0 = 21*l - h - 224. What is the least common multiple of 40 and l?
280
Let m = 104936/15 + -6994. Find the common denominator of m and -47/777.
3885
What is the least common multiple of 136 and 64*(-19)/(-76) + 18?
136
Let s be (-227)/1*7/(35/(-95)). Let h = s + -1