 Let s be a(-1). Let i = 4 - -11. Let q = s - i. Calculate the least common multiple of q and 2.
38
What is the common denominator of (-6 - (-158)/30) + 5 + -1 and 23/72?
360
Let w be 4*(-6)/(-4)*(-459)/(-54). Let y = w - 40. What is the least common multiple of 5 and y?
55
Suppose -c - c - 5*l + 984 = 0, -4*c + 2016 = -2*l. Let w = c + -5535/11. What is the common denominator of w and 67/15?
165
Find the common denominator of (-824)/32 + (-5 + -4)/(-3) and -45/104.
104
Let z = 22639/6 - 3764. Find the common denominator of z and 85/6.
6
Let o(y) = 2*y**2 + y. Suppose -3*f + 1 = -4*f. Suppose g = -5*i - 2 + 18, -9 = -3*i. Calculate the least common multiple of g and o(f).
1
Let y = -40 + 64. Suppose w = 34 - y. Calculate the smallest common multiple of (-4)/(-5)*(9 - -1) and w.
40
Let v be (1/626 + 0)/((-2)/(-8)). Let u = v - 8473/3443. Find the common denominator of u and -63/10.
110
Find the common denominator of (1207/255)/((-12)/(-9)) and 0 + 1 - 93/14.
140
Calculate the common denominator of 4/30 - (12 + 7184/(-620)) and -53/31.
93
Let g be (-1)/3 + 80110/21. Let u = g - 3806. Find the common denominator of u and -44/5.
35
Suppose -u - 2*u - 72 = 0. Let v = u + 26. Calculate the least common multiple of 18 and v.
18
Let k = -165 + 281/2. Calculate the common denominator of k and (-455)/28 + 0 + 0/(-4 - 0).
4
Let j(q) = -2*q**3 + 15*q**2 + 77*q + 10. What is the smallest common multiple of 8 and j(-4)?
280
Suppose 18746 = -7*x + 5*x. Let t = x + 131161/14. Find the common denominator of t and 131/6.
42
Suppose 2*r - 4 = -0*r. Suppose 15 = r*x + 1. Let w(p) = -p**3 + 11*p**2 + 4*p - 40. Calculate the lowest common multiple of x and w(11).
28
Let t = 3436064 - 37822831/11. Let b = t + 2377. Let j = 25385/8 + -3169. What is the common denominator of b and j?
88
Suppose 0 = -4*i + 4*m + 8048, 3*i + 4*m = 2078 + 3923. Let d = i + -11959/6. Find the common denominator of d and (-212)/(-3)*(-1)/(-24).
18
Let h(w) = -2*w**2 - 7*w - 3. Let m(a) = 6*a**2 + 21*a + 9. Let n(i) = -17*h(i) - 6*m(i). Calculate the common denominator of n(-6) and -127/6.
6
Let v = -7199/30 + 240. Let o = 3233/141 + -9/94. Find the common denominator of o and v.
30
What is the lowest common multiple of 112 and (66/44)/((-1)/(-8))?
336
Let j = 137 - 127. Calculate the least common multiple of 11 - (3/3 + -2) and j.
60
Let h(u) = -u - 3. Let j(o) = -o**3 - 8*o**2 - 15*o. Let t be j(-5). Suppose t = -5*z + 92 - 32. Calculate the least common multiple of z and h(-5).
12
Let u = 4/545 + 16831/8720. What is the common denominator of u and 103/6?
48
Let x = -62 - -104. Let s = -34 + x. Suppose 5*f - 4*j - 13 = 0, 5*f - 5*j = 18 - 3. Calculate the smallest common multiple of f and s.
8
Let t = 34 - 18. What is the common denominator of 81/t + 9/9 and -1 + -1 - 250/(-32)?
16
Let l(o) = 3*o + 2. Suppose 3*d = -2*h - 27, 0 = 4*d - 0*d + h + 31. What is the lowest common multiple of l(1) and -1 + 6 - (-14)/d?
15
Let i be (-174)/(-30) - 1/(-5). Calculate the common denominator of (-1)/(-4)*(-17)/2 and i/30 + (-507)/(-165).
88
What is the common denominator of (3/(-9))/(2 - 3070/1590) and 50/539?
539
Let w = -6412/5907 - -37/179. What is the common denominator of w and 73/2?
66
Let n = -2/1619 + 46955/3238. Let a = 18452 - 1070277/58. Calculate the common denominator of a and n.
58
Suppose 5*t - 1065 = -5*w, 0 = -0*w - 2*w + 3*t + 441. Suppose 0 = -9*p + 18*p - w. Calculate the lowest common multiple of p and 11.
264
Suppose -745 - 743 = -6*s. What is the least common multiple of s and 8?
248
Suppose 27 = 2*c + 3. What is the least common multiple of c and 8?
24
Let n(q) = -5*q + 6*q**2 - 24 - 8*q + 7*q**2 - 14*q**2. What is the lowest common multiple of 27 and n(-10)?
54
Calculate the common denominator of ((-1)/(-8))/((-6)/222) and 121/24.
24
Let l = -38 + 41. Suppose l*v + 3*v - 84 = 0. Suppose 0*a = -5*a + 20. Calculate the smallest common multiple of v and a.
28
Suppose -4*r - 3*u = -93 + 35, 0 = -r + 3*u + 7. Let k = 19 - r. What is the least common multiple of 9 and k?
18
Let p = -1667/561 + 142/187. Find the common denominator of p and -2/363.
363
Suppose 0 = -29*p - 9*p + 114. Calculate the lowest common multiple of p and 272.
816
Calculate the lowest common multiple of 231 and (-15)/(-10) - 3753/(-18).
2310
Let i(d) = -d**2 + d + 6. Let f be i(3). Suppose -369 = -2*w - 3*x, f*w - x - 570 = -3*w. Calculate the common denominator of (-1407)/w + 2/(-12) and -163/30.
90
Let q = -2665/56 + 376/7. What is the common denominator of 49/114 and q?
456
Let q(r) = 2*r**3 + 18*r**2 - 18*r + 5. What is the smallest common multiple of q(-7) and 18?
1962
Suppose -15*x = -x - 1008. What is the smallest common multiple of 11 and 16/x + (-2 - (-43)/9)?
33
Suppose 0 = 3*y + 6 + 21. Let j = -1283 - -20495/16. What is the common denominator of 485/(-6)*y/60 and j?
16
Let q = 469 + -32829/70. Calculate the common denominator of q and 38/25.
350
Let v be 0/(-1 + 1/(-1)). Suppose -2*q = o - 9, v*o = -4*q + o + 3. Calculate the common denominator of 7*(4/10)/q and -69/4.
20
Let v be 65/(-104)*39066/(-10). Let q = v + -2437. What is the common denominator of 53/7 and q?
56
Let f(s) = -15*s + 28*s + 5*s**3 - 6*s**3 - 11*s**2 + 15. Calculate the least common multiple of f(-12) and 6.
6
Let z(v) = 5*v - 5. Let c be z(2). Suppose -c*l - 4*s = -6*s - 24, -4*l + 3*s + 15 = 0. Calculate the common denominator of 14*3/(-96)*l and 23/5.
40
Let m be 11/((-264)/18) - (-6)/8. Suppose -k + 2 + 2 = m. What is the lowest common multiple of k and 14?
28
Let u = -330 + 400. Calculate the smallest common multiple of 56 and u.
280
Let i = 11/29 - -217/116. Calculate the common denominator of i and 116/(-5)*14/28.
20
Let f = -21751/15686 + -9/341. Find the common denominator of f and -49/3.
138
Let v(d) = 5*d**2 + 31*d + 11. Let f be v(-7). Suppose 27 = -3*y + f. What is the lowest common multiple of 12 and y?
12
What is the common denominator of -47/136 and (6/(-12))/((-132)/105)?
1496
Let q(l) = -l**2 - 6*l + 18. Suppose 0 = -8*z + 10*z + 16. What is the least common multiple of q(z) and 6?
6
Let x(v) = -v**2 - 11*v - 29. Let m be x(-5). What is the common denominator of 34/153 - (1162/(-360) + m) and 13/20?
20
What is the common denominator of (-1352)/1430*20/(-8) and (4 - 2)*2/(-24)?
66
Let f = 1/1507 - -61779/12056. What is the common denominator of f and 87/44?
88
Let t be (2/(-3))/((-20)/(-570)). Let p = -1 - t. What is the smallest common multiple of 10 and p?
90
Calculate the least common multiple of 36 and (-4)/(-7) - (-722)/133.
36
Let z = -252/55 + 112/55. What is the common denominator of z and (-1)/((-6)/(-5))*(-1791)/398?
44
Let f = -45269 + 2173025/48. Find the common denominator of f and 17/96.
96
Let g = -257/40 + 203/24. Calculate the common denominator of 47/18 and g.
90
Let v(i) = -2*i - 8. Let d be (8 + -6)*14/(-4). Let r be v(d). What is the common denominator of -95/2 and (-41)/r + 32/(-8)?
6
Let k = 24 - 14. What is the lowest common multiple of k and 2*(-5)/(-5)*(2 - 1)?
10
Let b be ((-20)/30)/((-4)/54). Let o = 3469/10 - 669/2. What is the common denominator of b/(-3) - (-39)/(-72) and o?
120
Suppose -4*d - 5*s = 2, -d + 4*s - 17 = 2*d. Let p(v) = -v + 13. What is the smallest common multiple of 18 and p(d)?
144
Suppose 3*o + 90 = 8*o. Suppose 0 = -156*l + 161*l - 40. Calculate the least common multiple of o and l.
72
Let q = -42 - -45. Calculate the lowest common multiple of -6*1*q/(-2) and 88.
792
Calculate the common denominator of (-1)/16*(-116 - -10 - -9) and 71/168.
336
Let o = 2526 + 7381. Let i = 396213/40 - o. Calculate the common denominator of i and -27/20.
40
Suppose -2*d = -4, 3*b + 5 - 48 = -5*d. Suppose b*f + l = 9*f + 56, 0 = -f - 2*l + 22. Calculate the smallest common multiple of f and 27.
270
Let v = 141 + -114. Suppose 5*o - v + 7 = 0. Calculate the lowest common multiple of o and 38.
76
Let j be (-164)/(-6) + 3/(-9). Let p = 2715 + j. Let s = 30111/11 - p. Find the common denominator of s and 7/8.
88
Let v = 103 + -100. What is the lowest common multiple of v and 4?
12
Suppose -5*w - 2*l + 13566 = 0, 2*l + 696 = -3*w + 8838. Calculate the lowest common multiple of 18 and w.
8136
Let s = -1796309/1644 + 27926234443/25654620. Let y = s - 2/3121. What is the common denomin