37. Let t = 3988 - 1112653/279. Let y = t + -3613/3906. Calculate the common denominator of y and q.
140
Suppose -2*c + 9*c = 56. Suppose c*f - 166 = -22. Calculate the lowest common multiple of 27 and f.
54
Let b be (-7 + -33)/(418/4). Let o = b - 1/11. Let f = -5807/4 + 1430. Find the common denominator of o and f.
76
Let c = 278305/18 + -15466. What is the common denominator of ((-2)/(-112))/((-7225)/1802 - -4) and c?
252
Let x = -502049/6078480 - -17/6665. What is the common denominator of 113/684 and x?
2736
Let v be (75/(-5))/(1/((-20)/6)). What is the common denominator of (65/(-26))/((-24)/v) and 67/36?
72
Let s(v) = -v + 10. Suppose -16*p + 13*p = 66. Let f be s(p). Find the common denominator of (8/(-5) - 2)/(f/100) and 97/16.
16
What is the lowest common multiple of 682 and (186/(-7))/(5 - 3243/644)?
8184
Find the common denominator of (-22)/(-80)*(72/144)/((-19)/(-8)) and 58/2679.
26790
Let s = -39/73 - -6799/292. Let d = 4/531 - -427/13806. Find the common denominator of s and d.
52
Let u be 60/(-105)*14/(-8)*2. Calculate the common denominator of -71/10 and ((-30)/(-44))/(12/u).
220
Let q(n) = 20 + n**2 + 0*n**2 - 8*n + 26*n. Let w be q(-12). Let t = w + 68. Calculate the least common multiple of 112 and t.
112
Let y = -37683/10 - -3767. What is the common denominator of y and 101/7910?
7910
Let p = 15/1186 - 27847/138762. Let w = 39077/28990 + -2/1115. Find the common denominator of w and p.
234
Suppose 2*l - 4 - 4 = 0, 4*l = 4*g - 72. Let b be ((-700)/40)/((-3)/18 + 0). Let i = 127 - b. What is the lowest common multiple of i and g?
22
Let i = 243634/3 + -282615323/3480. Calculate the common denominator of i and 45/7.
8120
Find the common denominator of 6/176*(66/(-22))/(135/(-327)) and 113/2156.
21560
Let i = -3671/6 - -33127/54. Find the common denominator of i and (-258)/45 + 4/40.
270
Suppose 554667 = 132*s + 131*s. Calculate the lowest common multiple of s and 15.
10545
Suppose 0 = -14*p + 23260 - 622. Calculate the smallest common multiple of p and 693.
4851
Let h = 114 - 122. Find the common denominator of (52/1950)/(h/(-290)) and 56/33.
330
Calculate the smallest common multiple of (2135/(-793))/((-5)/65) and 1805.
12635
Let y be (-2)/(-7)*1 - 525/(-49). Suppose 36 + 30 = -y*j. What is the smallest common multiple of 2*2/(-3)*81/j and 6?
18
Let r(l) = -l + 11. Let y(i) = 10*i**2 - 4*i + 2. Let a be y(1). Let o be 7*(-3 - a/(-2)). Calculate the smallest common multiple of r(o) and 14.
28
Suppose 3*o = 4*s - 189, 133 + 14 = 3*s - 4*o. Suppose 0 = -4*h + 2*f + f + 129, -4*f = 12. What is the least common multiple of h and s?
90
Let k(t) = -t**3 + 9*t**2 + 23*t - 11. Let s be k(11). Suppose 5*c = -4*q + 264, s*c - c = -q - 60. Calculate the smallest common multiple of c and 12.
168
Let n = 158643/785507 - 120/601. Let m = 30115/23526 - n. What is the common denominator of m and (-1590)/270 + 5/(-50) + (-14)/60?
18
Let f = -79 + 93. What is the least common multiple of 6 + -1 + (1 - 0) and (-174)/(-203) + 268/f?
60
Let a = 16221 + -4233700/261. Calculate the common denominator of a and 1/327.
28449
Let z = -10527086/221 + 47634. What is the common denominator of 19/2301 and z?
39117
Let q = -95 + -130. Suppose 5*b + 20 = 5, 0 = u - b + 5. Find the common denominator of (435/q)/(u/(-10)) and 58/15.
60
Suppose -5*n - 37 = 168. Let t = 50076/19 + -2638. Calculate the common denominator of n and t.
19
Suppose 5*h + 120 = -0*h. What is the common denominator of -1 + 2 + 129/h and (6 - 18) + (-3)/((-144)/555)?
16
Let n = -16785799837/5664 - -47417541/16. Let m = 35/177 + n. Calculate the common denominator of m and 25/12.
96
Let p = -164643 - -164657. Let j(o) be the second derivative of -5*o**5/4 + o**4/6 + o**3/6 + o. What is the smallest common multiple of j(-1) and p?
182
Suppose 6*l - 537 = -519. Calculate the least common multiple of 48 and l.
48
Let y be (-10070)/(-9) - -2 - 0. Let v = -50219 - -98183/2. Let s = v + y. What is the common denominator of 143/48 and s?
144
Suppose -5*j + 96 + 59 = 0. Let m = j - 10. What is the smallest common multiple of m and 7?
21
Suppose -52*v - 205 = -53*v. Let x = -4529/18 + v. Let f = -247/9 - x. Calculate the common denominator of 35/6 and f.
6
Suppose 18 + 17 = 5*h. Suppose j - 192 = o, -972 = 6*o - o - 2*j. Let z = o - -200. Calculate the lowest common multiple of h and z.
28
Suppose -4*b = -4*n + 16, -10 = -0*n - 2*n + b. Calculate the lowest common multiple of 3/(-9) + 98/n and 7.
112
Let k(g) = -g**3 + 3*g**2 + 2*g - 8. Let p be k(0). Let y be p/36 - (9048/27)/4. Calculate the smallest common multiple of (-2)/(y/20 + 4) and 29.
290
Find the common denominator of (-41)/286 + (-2)/(-11) and (-6)/(-33)*12705/360.
156
Suppose -2*i = 2*b + i - 27, 5*b - 2*i - 39 = 0. Calculate the smallest common multiple of 14 and 218/b - (-2)/(-9).
168
Let k(p) = 5*p**2 + 11*p + 6. Let b be k(-4). Let n be (-1)/6*b/(-7). Let r = 6 + n. Calculate the least common multiple of r and 6.
42
Calculate the common denominator of ((-12936)/(-297) + -44)/(7/(-6)) and 31/36.
252
Let u = 6437/1637 - -214134/1926749. Let c = -43/1123 + 75350/120161. Let b = c - u. Calculate the common denominator of 10/11 and b.
11
Suppose 0 = -4*d - 4*u - 180, d + 2*d + 139 = -u. Let i = d - -99. Let v = i + -32. What is the least common multiple of v and 10?
20
Let m be (-438)/(-9) + (-32)/48. Calculate the smallest common multiple of 56 and (32/m)/(2/36).
168
Let s(c) = c**2 - 10*c + 9. Let j be s(11). Let k be (-62)/(-22) - j/(-110). Suppose 20 = k*g + 14. What is the lowest common multiple of 6 and g?
6
Suppose 0 = 10*b + 261 + 99. Calculate the smallest common multiple of 8 and (-24)/b + (-246)/(-9).
56
Let l(b) = b**3 + 37*b**2 - 3*b - 105. Let p be l(-37). What is the least common multiple of 2 - p/12*-32 and 24?
72
Suppose 0 = m - s + 5*s - 26690, -s - 53425 = -2*m. Let c = 72695731 + -1309003813/18. Let f = m + c. Find the common denominator of f and 101/12.
36
What is the common denominator of (-350)/30*40/2175 and -64/145?
1305
Calculate the common denominator of (6968/(-3808) + 2)/((-132)/(-24)) and 9/1232.
20944
Let o be (-1)/4 - (-66)/8. What is the smallest common multiple of -10 - 380/(-28) - (-6)/14 and 6/4 + 388/o?
100
Suppose 889 = 3*v + 31*f - 32*f, 883 = 3*v - 4*f. Calculate the least common multiple of v and 99.
297
Let k(x) = 18*x**2 + 24*x - 8. What is the smallest common multiple of k(4) and 282?
1128
Suppose -5*w = 25, 0*w + w = u - 16. Let a be 74953/u*1/10. Let b = a - 7602/11. What is the common denominator of 50/3 and b?
30
Find the common denominator of -31/1785 and (219/12)/(1604/8 - -12).
17850
Suppose -5*d + 4774 - 4749 = 0. What is the lowest common multiple of d and 2291?
11455
Let y be 25 + -3 - (-40)/(-8). Suppose -3*n = -8*n - 2*w + 18, 5*n + 3*w - y = 0. Find the common denominator of n/(2 + -1) + 262/(-16) and 51/28.
56
Let n(m) = -3*m**3 + 6*m**2 - 2*m + 7. Let z be n(3). Let t = z + 35. What is the lowest common multiple of t and 38?
342
Let r be 11212/10*6/48. Let p = 281/2 - r. Calculate the common denominator of 2114/(-1848) - ((-8)/(-6) - 1) and p.
220
Suppose 29385 = -7*t + 52*t. Suppose 215 = 31*u - t. What is the least common multiple of 128 and u?
896
Let z = 14255 + -14213. What is the least common multiple of 132 and z?
924
Let l(n) = 5*n**3 - 2*n**2 + 7*n - 162. Calculate the least common multiple of 192 and l(7).
9024
Let o = -13664 - -13718. What is the lowest common multiple of 45 and o?
270
Find the common denominator of -41/30 and (-33)/(-792)*(-1552)/92.
690
Find the common denominator of 17/756 and ((-41)/(-738))/((-210)/(-565)).
756
Calculate the lowest common multiple of ((-111)/1)/(330/(-2480)) + 6/(-33) and 54.
7506
Suppose -5*f = -5*o + 240, -o - 4*f + 33 + 35 = 0. Calculate the least common multiple of o and 429.
1716
Let z(u) = 2*u - 78 + 192 - 58. What is the least common multiple of z(-13) and 20?
60
Let n = 118 + -82. Suppose 2*g - 9*g = -42. Suppose -4*f + 76 = 3*w, -20 = w - g*w. What is the lowest common multiple of n and f?
144
Suppose -2*q + g = -464, 3*g + 33 = 3*q - 666. Let f(k) = -502*k + 5047. Calculate the smallest common multiple of f(10) and q.
2079
Calculate the common denominator of -13/574 and (176/(-12) + 14)*(-369)/(-840).
5740
Suppose 