03/5. Let w = j + -44943/70. Calculate the common denominator of w and 67/(-11)*(-96)/(-384).
308
Let h(x) = x**2 - 25*x + 102. Let g be h(20). Suppose 477 = g*o + 405. Calculate the least common multiple of o and 18.
36
Find the common denominator of 47/136 and 4461/1020 - (26/39)/(1/6).
680
Let n(d) = -d**3 - 45*d**2 + 86*d - 76. What is the smallest common multiple of n(-47) and 750?
1500
Let h = -17557/56 + 3235/8. Let j = h - 18233/210. What is the common denominator of 57/130 and j?
390
Let q = 14602 + -9599. What is the lowest common multiple of q and 1?
5003
Let l = -80554715/459 + 3136887/17. Let b = 9021 - l. Let n = 2/34877 + -1290461/209262. What is the common denominator of b and n?
54
Calculate the common denominator of (-240)/(-32)*(-10)/(-24) and 0/(-3) + -3 + (-526)/(-108).
216
Find the common denominator of 57/70 and ((-7)/((-1274)/(-85)))/2.
1820
Let n(r) = 3*r**2 - 4*r - 40. Let z be n(-25). Find the common denominator of (-1)/(-1) - (-2 - 114/(-20)) and 4/30*z/(-30).
10
Suppose 6*w + 298 = 3*w - 4*s, -2*w = 2*s + 198. Calculate the common denominator of 4/(-6)*w/4 and -5/3.
3
Suppose 0 = -8*s - 11 + 27. Suppose 0 = l + 3*i + 1, -s*i = 2. Suppose 83*v = 81*v + 36. Calculate the least common multiple of l and v.
18
Suppose 4*m = 2*n - 34, 2*n = 3*m - 4*m + 24. Find the common denominator of n and -47/6161.
6161
Let c = 551689739/954 + -578291. Calculate the common denominator of c and -143/60.
9540
Suppose -18 = 3*z + 3*q + 2*q, -z = 3*q + 10. What is the common denominator of (-7 - -4 - z) + 148/22 and 53/6?
66
Let z be (-8)/(8568/1203) + (-3)/(-21). Let y = -2186/357 - z. Find the common denominator of y and 12/19.
133
Let l = 8213 - 8212. Suppose -3*i = -5*i + 168. Let o = -26 + i. Calculate the least common multiple of l and o.
58
Let n(h) = -53*h + 174. Calculate the smallest common multiple of n(-5) and 7.
3073
Suppose -8 = -4*z - 0, -3*m = 5*z - 46. Suppose m*t - 128 = 8*t. Calculate the lowest common multiple of 16 and t.
32
Let a = 763037 - 763019. Suppose -2*j = -0*j - 18. What is the least common multiple of j and a?
18
Let g be -2 + 3 + 6 + -3. Let p be -2*(31/(-2) - g). Find the common denominator of 145/6 and -4 - 0 - p/(-48).
48
Let q = 1624 - 1070. Let x = q - 1147/2. What is the common denominator of (59/(-1239))/(12/(-1162)) and x?
18
Let j = 263 - 253. What is the smallest common multiple of ((-1504)/235)/((-14)/j - -1) and 2?
16
Let g = -7869413193006853685 - -552645634428886846033793053/70227045. Let n = g + 1/15606010. Let l = -12057 + n. Find the common denominator of l and 91/10.
90
Find the common denominator of -5/4 and 0/2 - -4 - 38/(26448/1656).
116
Let l be 1 + 342/(-8) + (-13)/52. Find the common denominator of 1132/(-96) - 28/l and -53/114.
456
Let m be 12/8*2/3. Let w(z) = 5*z**2 + 2*z - 1. Calculate the smallest common multiple of (4/6)/((-48)/(-1440)) and w(m).
60
Let u = 10043 - 9655. Calculate the lowest common multiple of 20 - 5/(5/(-2)) and u.
4268
Let l be 14/(-3)*72/(-28). Suppose 0 = -5*d - j + 1170, d - 23*j + 20*j - 234 = 0. Suppose d = k + l*k. Calculate the least common multiple of k and 30.
90
Let t(v) = -92*v**3 + 2*v**2 - 2. Let w be t(1). What is the common denominator of 15/20 + (-49)/6 and (690/36)/(-23)*w/25?
60
Suppose 13*m + 19*m = 2592. Let v be ((-410)/4 - -2) + 0. Let b = m + v. Calculate the common denominator of 32/29 and b.
58
Let a(g) = 11*g**2 + 3*g - 9. Let r(n) = -5*n**2 - n + 5. Let w(s) = 4*a(s) + 9*r(s). Let j be w(12). Calculate the common denominator of 9/12*354/j and -25/8.
88
Find the common denominator of -17/129 and ((-1)/(-1118))/(14/371*54/(-72)).
1677
Let d be 3 + (-2643)/(-9) + 2/6. Suppose t - 290 = -5*z + 11, d = 5*z - 3*t. Suppose 0*f + z = 6*f. Calculate the least common multiple of 13 and f.
130
Suppose 0 = -t + 2, 4 + 55 = -i - t. Let m = -25 - i. Calculate the smallest common multiple of 30 and m.
180
Let n = 157 - -158. What is the smallest common multiple of n and 210?
630
Suppose -2*v + 8323 = -t, 0 = -2*v - 5*t + 12945 - 4664. Calculate the smallest common multiple of 36 and v.
8316
Suppose -5*t = 5*u - 210, 4*t + 5*u = 5*t - 36. Let y = 49 - t. Calculate the least common multiple of 5 and y.
40
Let n = -5/4571 + 407059/219408. Calculate the common denominator of (-10736)/288 - 2*(-1)/(-9) and n.
48
Let g = 27 + -29. Suppose 0 = d - 3*d + 6, 2*d + 22 = 4*u. Calculate the smallest common multiple of (-13)/2*(g + 0) and u.
91
Suppose 345*l - 375*l = -7200. What is the lowest common multiple of 30 and l?
240
Let f = 1/13798 - 376000/62091. What is the common denominator of 9 - (-3588)/(-396) - 1454/2508 and f?
342
Calculate the common denominator of -43/203 and (207/174)/((-148)/(-16) + 110/(-11)).
203
Let p = -22 - -40. Let v(i) = 3*i + 43. Calculate the least common multiple of p and v(11).
684
Let q = -291999547/11413 + 1815686/113. Let f = q + 9517. What is the common denominator of f and -8/5?
505
Let o = 1281679/93 - 13782. Find the common denominator of 53/6138 and o.
6138
Let b be (-2 + 10 + (-20)/4)*-1. Find the common denominator of 15/8 and ((b/9)/(8/(-81)))/(-3).
8
Let n = 3539953/66 - 53637. Find the common denominator of n and 85/21.
462
Calculate the smallest common multiple of (-4 + -4)/(-2) + -7 - (4 - 385) and 378.
378
Suppose 5*r + 23 = o + 4*r, -4*o + r = -83. Calculate the lowest common multiple of 8 and o.
40
Let p(z) = 1337*z - 133. Let y be p(2). What is the common denominator of -3*7/y*-45 and -36/11?
121
Let d(n) = 6*n + 204. Let m be d(-27). Find the common denominator of (2/m)/(-5 - 3874/(-770)) and -1/3.
36
Suppose 0 = -22*n + 28*n + 66. Let a(i) = i**2 + 11*i + 30. Calculate the smallest common multiple of a(n) and 3.
30
What is the common denominator of 112/4*((-9)/(-2424))/(135/(-300)) and 8/33?
3333
Suppose -2*a - 68 = -74. Suppose -14 - 4 = a*z. Find the common denominator of -13/6 and 4/z*(-3 + (-285)/12).
6
Suppose -5*t - 3*z = -3640 + 718, -z = -3*t + 1756. Calculate the least common multiple of 2 and t.
1170
Let k = -345 - -611. Let a = k - 264. What is the lowest common multiple of a and 34?
34
Find the common denominator of 43/320 and (1/132)/(15 + 285824/(-19056)) - 8.
3520
Suppose -109*m - 432 = -101*m. Find the common denominator of 41/238 and ((-6)/(-64))/(m/1656*2).
1904
Suppose 5*d - 52 = -4*u, d - 68 = -0*u - 4*u. Let j = 15 + -11. Let p(t) = 2*t**2 - 6*t. Calculate the smallest common multiple of u and p(j).
72
Let u = -16 - -4. Let l be (-15)/u*(-4)/(-8290). Let s = 30671/3316 + l. Calculate the common denominator of -17/22 and s.
44
Let c = -2137645 - -26523899005/12408. Find the common denominator of c and -117/20.
62040
Suppose -3*v + i = -7, 3*v + 4*i - 11 = 2*v. What is the least common multiple of ((-15)/(7 + -2))/(v/(-258)) and 8?
1032
Let m be 80/1*6/15. Suppose -3*q = -4*q - 4*p + 16, 0 = 2*q - 3*p - m. Suppose -q*g + 120 = -6*g. What is the lowest common multiple of 12 and g?
12
Calculate the common denominator of 114/1*(-134)/1206 and 69/10870.
32610
Suppose -1535*a + 1494*a = -246. What is the least common multiple of a and 2302?
6906
Let l(w) be the second derivative of 17*w**3/6 + 150*w**2 - 71*w - 1. What is the smallest common multiple of l(-17) and 426?
4686
Let c = 15632020/253 + -123573/2. Find the common denominator of c and -21/437.
9614
Let g = 255 + -237. Suppose -23*t + g*t + 140 = 0. Calculate the lowest common multiple of 49 and t.
196
Let i(x) = -x**3 - 97*x**2 - 1076*x + 54. What is the smallest common multiple of i(-86) and 22?
123574
Let a = -36597 + 878191/24. Suppose 5*s = -5*s - 30. Calculate the common denominator of -1 + (1*s - 801/(-324)) and a.
72
Suppose 132*r = 145*r - 3354. What is the least common multiple of r and 946?
2838
Suppose 3*w + 8 = 6*w + 2*r, 5*r - 5 = 0. Calculate the common denominator of -93/20 and w/(-35)*240/4.
140
What is the common denominator of -93/22 and 13175/8670 + 6/(-51)?
1122
Let f = -14218/47061 + 16/83. Calculate the common denominator of 95/648 and f.
4536
Find the common denominator of -3/80 and 73/(-48) - (-49)/196.
240
What is the lowest common multiple of 221 and 814815/1995 + 3/(-7)?
5304
Let i = -12728 - -305471/24. Find the common denominator of i and ((-5)/(-6))/(8/18).
24
Let r = -1789 - -2339. Calculate the le