*z. Let l = 112019/12 + z. What is the common denominator of l and 31/3?
12
Let h = 475/28 - 257/7. Let l be (-2)/3*(671 - -1). Calculate the common denominator of l/(-30) - (-2)/5 and h.
12
Let i = 2106 - 14706/7. Suppose 34*o - 4173 = 31*o. Let b = o + -12593/9. Calculate the common denominator of b and i.
63
Let n = 33 - 447/14. Calculate the common denominator of n and -75/4.
28
Let y = 52621/15631 - 4/1421. Find the common denominator of (((-1)/(-10))/(-1))/((-10)/725) and y.
44
Suppose -15*h + 346 = 166. Calculate the least common multiple of 189 and h.
756
Let o(l) = -l - 13. Let b be o(-14). Let h(d) = d**3 - 8*d**2 + 10*d + 1. What is the smallest common multiple of 20/(-10) + (b - -5) and h(7)?
44
Suppose 98*s + 44 = 99*s. Calculate the lowest common multiple of s and 64.
704
What is the common denominator of (89/(-60) - (-5)/20) + 0 and -139/24?
120
Find the common denominator of ((-14)/(-60))/((-8)/(-110)) and 41/18.
72
Suppose -4*j = -5*j + 14. Suppose 3*z + j = 44. Calculate the smallest common multiple of ((-8)/14)/(4/(-14)) and z.
10
Let l = -38 - -29. Let j = l - -13. What is the smallest common multiple of j and 4?
4
What is the common denominator of ((-5)/(-620))/(1/(-2)) and -45/8?
248
Let b = -2852 + 22809/8. What is the common denominator of b and (10/18)/(-1 + 2)?
72
Let l(r) = -6*r - 56. What is the smallest common multiple of 5 and l(-30)?
620
Suppose 0 = -9*q + 11*q + 62. What is the common denominator of 85/24 and q*(51/27 + -2)?
72
Let n = -22 + 40. Let y be 4/(-1)*(-10)/(-10). Let j = y + 12. Calculate the least common multiple of n and j.
72
Calculate the smallest common multiple of 14 and (-1 - 0)*(-15 + 5).
70
Calculate the smallest common multiple of (-396)/(-30) + 8/10 and 56.
56
Let h = -80449 + 107318961/1334. Let q = h - -24709/8004. What is the common denominator of q and -65/24?
24
Let u = -13889/2060 + -4/515. What is the common denominator of 25/24 and u?
24
Let v(d) = 26*d**3 + 6*d - 6. Calculate the lowest common multiple of 286 and v(1).
286
Suppose 0 = i - 8*q + 13*q - 28, -2*i + 4*q = 0. What is the least common multiple of i and 2?
8
Suppose 3*b - 10 = b + 3*h, -12 = -4*b + 2*h. Let r = -145/72 + -15/8. Calculate the common denominator of -1 + b - (-1)/(24/27) and r.
72
Suppose 3*v - 531 = 3*l, 3*l + 52 - 245 = -v. Calculate the smallest common multiple of v and 3.
543
Let t(l) = 2*l + 18. Let h(u) = -u**2 - 6*u + 8. Let c be h(-8). Let x be t(c). Calculate the common denominator of -49/8 and ((-292)/(-24)*x)/(-2).
24
Let h = -529 - -673. Calculate the lowest common multiple of 198 and h.
1584
Let n = 14/59 - -21035/118. Let o = n + -222. Find the common denominator of o and 17/48.
48
Let n be 1 - (2 + 1 + -6). Suppose -s - n*i = -3*i - 5, 5*s + 3*i = 21. Let h(v) = -v**3 + 2*v**2 + 3*v + 4. Calculate the least common multiple of 22 and h(s).
44
Suppose 4*y - 8*y = -20. Suppose -2*q - 2*o - 1 = -5*q, y*o - 20 = 0. Suppose -q*m = -12 - 18. What is the smallest common multiple of 18 and m?
90
Suppose -16 = 5*y - y. Let w(q) = 2*q**3 + q**2 - 4*q - 3. Let l be w(y). Calculate the common denominator of -29/4 and 243/l*2/(-4).
44
Suppose 0 = 11*i - 17*i + 48. Calculate the least common multiple of i and 16.
16
Suppose -2*r - 382 = 242. Let d = -2188/7 - r. Let j = -488 - -3456/7. Calculate the common denominator of d and j.
7
Suppose 14*z = 10*z + 88. Calculate the smallest common multiple of 18 and z.
198
Let s = -564134937991/61576140 + 3/5131345. Let t = -9167 - s. Let x = 7742 + -108441/14. Find the common denominator of x and t.
84
Find the common denominator of 83/6 and 4*72/(-81) - -2*1.
18
Let h be -1 + (3 - 244/121). Let o = h + 8599/484. Let t = 4629 + -74087/16. Find the common denominator of t and o.
16
Suppose 0 = -2*d + 8*d - 36. Suppose -5*t + d = -49. What is the lowest common multiple of t and 11?
11
Let j = 15 + -11. Calculate the least common multiple of 55/(4400/(-96))*(-5)/3 and j.
4
Calculate the lowest common multiple of 314 and 7/((-42)/(-40)) + 60/(-90).
942
Suppose 33 = 3*m - 2*m + 5*g, 129 = 3*m + 5*g. Suppose -h = -3*t - 33, -4*h + 106 = 11*t - 10*t. What is the smallest common multiple of h and m?
432
Suppose 2*w - 15*w = -130. Let h(o) = -o**2 + 10*o + 6. What is the lowest common multiple of h(w) and 13?
78
Let z(l) = -l**3 - 6*l**2 - 13*l - 6. Let s be z(-4). Suppose 0 = 3*r - 22 - s. Calculate the smallest common multiple of r and 80.
240
Let k = -96 - -107. What is the lowest common multiple of k and 2?
22
Calculate the smallest common multiple of -1 - (-1194)/14 - (-78)/(-273) and 140.
420
What is the common denominator of (-2)/(-70)*565/2 and (-299)/30 - (-64)/80?
42
What is the common denominator of 37/84 - 4/12 and 73/28?
28
Let c be (0 - 1) + (2 - (-4 - 7)). What is the common denominator of (-540)/16 - (0 - 3/c) and (-226)/24 + (-2)/(-8)?
6
Find the common denominator of -29/275 and -2 + (-4)/(-2) + (-1431)/2700.
1100
Let y = -20/243 + -10495/5346. Let i = 2/195403 - -244449133/1954030. Let o = i + -125. Calculate the common denominator of o and y.
110
Let r = -6302 + 176427/28. What is the common denominator of 95/16 and r?
112
Suppose 7*y + 149 - 730 = 0. Let v = 92 - y. What is the least common multiple of 11 and v?
99
Let z be ((1*32)/2)/((-14)/(-49)). Let w = -372081/25 - -14881. What is the common denominator of w and (-6)/8 - 358/z?
175
Let d = 18 - 62. Let a = -9/40 + 51/10. Calculate the common denominator of 8/d + (-1803)/(-660) and a.
40
Let w = 103307591/420 + -491937/2. Let o = -2/15 + w. What is the common denominator of 57/4 and o?
28
Let n = 59308 + -2609443/44. Let k = 69/14 - -293/84. What is the common denominator of k and n?
132
Let n = 9179/1170 - 203/65. Let k be (4/(-32))/(2/1676). Let v = -104 - k. What is the common denominator of n and v?
36
Let t be (-2)/(-4) + -2*51976/14172. Let c = -2/1181 - t. What is the common denominator of c and -73/148?
444
Let v(p) = 10*p**2 + p - 2. Let g(q) = 2*q - 1. Let x be g(-7). Let h = x + 21. Calculate the least common multiple of h and v(2).
120
Let f = 2/7281 - 422308/36405. Let i be (3/(-2))/(1/(-2)). Find the common denominator of f and (0 + 7)/((-8)/i).
40
Let l be (-6)/(-15) + (-2)/5. Suppose x - 9 = -4*c + 4*x, l = 3*c - 5*x + 7. Suppose -6*b = -2*b - 88. Calculate the least common multiple of b and c.
66
Suppose 0*b - 12*b + 192 = 0. Calculate the common denominator of (15 - b)*(-2 - 238/(-36)) and -11/10.
90
What is the common denominator of ((-1)/4*-1)/(69/2875) and 139/90?
180
Suppose 5*d + 2*h - 16 = 36, -2*d + h = -28. Calculate the least common multiple of d and 27/(-2)*(-40)/30.
36
Let y = 26763/4 - 6676. Let p(q) = q - 293. Let f be p(0). What is the common denominator of (-2)/(-3) - f/(-12) and y?
4
Let t be (-6671)/6 + 4/30. Let m = -1092 - t. Let b = -266/5 + m. Find the common denominator of -50/3 and b.
6
Let z = -48 - -32. Let l(p) = -2*p**2 - 23*p + 12. Let j be l(-11). Let o = j + z. What is the least common multiple of 6 and o?
42
Let g(v) = v**3 - 3*v**2 + v - 1. Let u be -3 + (2 - 2 - -3). Suppose l - 1 - 3 = u. What is the smallest common multiple of 9 and g(l)?
171
Let a = -475237/36 + 13199. Find the common denominator of -157/156 and a.
468
Suppose 5*b - 2*a - 232 = 0, -16 = -2*b - 4*a + 96. What is the lowest common multiple of b and 36?
144
Suppose 4*v = 68 - 0. Let r = v - 13. Suppose 5*c - 2*h = -0*h + 26, -14 = -c - r*h. Calculate the least common multiple of 4 and c.
12
Suppose 5*z - 127 + 17 = 4*l, -3*l - 88 = -4*z. What is the smallest common multiple of 28 and z?
308
Suppose -3*t + 8 = -7*t. Let o = -78 + 183. Find the common denominator of (3/(-14))/(t/o) and 57/16.
16
Let s = 2412 + -2364. What is the lowest common multiple of s and 22?
528
What is the smallest common multiple of 6/21 - 54/(-7) and (-8)/48 + 25/6?
8
Suppose 10 - 2 = 4*w. Let u = 3 + w. Calculate the lowest common multiple of (3 - u/3)*6 and 6.
24
Let w = -1243 - -212. Let i = 696 + w. Calculate the least common multiple of 12 and (-1)/3 - i/15.
132
Suppose 5*x - 10*x = -20. Calculate the common denominator of -3 - (x + 5/30) and 23/9.
18
Let t = 10 + -24. What is the common denominator of 39/10 and (5/(-21))/(24/t)?
180
Let d(z) = z**3 - 8*z**2 + 7*z + 2. Let j be d(7). What is the common