 + 1/(-4). Let i = t + 65/3. What is the common denominator of i and 4/16 + -1*8/12?
12
Let k = -56 + 62. What is the lowest common multiple of 15 and k?
30
Let s = -79/199 - -31392/82585. Let f = 40241/830 - s. What is the common denominator of -9/10 and f?
10
Let k = -16 + 10. Let p(j) = -3*j - 11. Let d be p(k). Suppose d*u - 77 = -0. Calculate the least common multiple of 4 and u.
44
Let k = -16457/5112 + 340/71. What is the common denominator of k and -149/186?
2232
Suppose 2*d - 3 = 13. What is the lowest common multiple of d and (-3 - 14/(-4))*28?
56
Let z(n) = n**3 + 19*n**2 + 12*n - 59. Calculate the lowest common multiple of z(-18) and 70.
490
Let o = 4745/22 + -214. Calculate the common denominator of 67/30 and o.
330
Suppose 0 = -j + 3*o - 4, -2*o - 4 = 2*j - 28. Let h = 61 + -41. Suppose 5*z + 32 = 2*r, -2*r = 2*r + z - h. Calculate the least common multiple of j and r.
24
What is the smallest common multiple of (-2 + 1 - -5)*(3 - 2) and 238?
476
Let q = 7 - 5. Let w(n) = -n**2 - 9*n + 2. Let b(j) = j**2 + j + 1. Let s(p) = q*b(p) + w(p). What is the smallest common multiple of 8 and s(8)?
24
Let o = 537799 - 27485293491/51107. Let t = -4957419/1022140 + o. Find the common denominator of t and 14/24*9/12.
80
Suppose -23*r = -27*r + 56. Suppose 9*m - r*m = -15. What is the lowest common multiple of m and 3?
3
Let y be -1 + (-6)/(2/(-1)). Let l be y + (-66)/148*36. Let r = -9685/518 - l. Find the common denominator of r and -20/3.
42
Suppose -47*h + 272 = -43*h. What is the least common multiple of 28 and h?
476
Let r be (-12)/(-8) - 270/(-12). Suppose -r*p + 48 = -21*p. Calculate the smallest common multiple of 16 and p.
16
Let g = -1223605/7 - -175107. Let k = g - 16543/56. Calculate the common denominator of 57/4 and k.
8
Suppose 2*d = p - 78, -p - 102 - 66 = 4*d. Let a = d + 49. What is the lowest common multiple of ((-1)/(-3))/((-11)/(-363)) and a?
88
Let j = -10039 + 25195. Let s = -272735/18 + j. What is the common denominator of 4/2 - (-1)/(-42) and s?
126
Let z = 392 - 388. Calculate the lowest common multiple of z and 29.
116
Let q = -3774 + 10906/3. Let l = 352 + -211. Let x = l + q. Find the common denominator of x and -19/6.
6
Suppose 3*z - 215 = -2*z. Suppose 0 = 4*p - 15 + z. Let i = 1 - p. Calculate the smallest common multiple of 6 and i.
24
Suppose -4*n = 4*x + 3540, 0*n + n = -5*x - 4405. Let b = -6171/7 - x. Calculate the common denominator of b and 52/7.
7
Let r = -263 + 1326/5. Let o = 42607/11 - 3877. Find the common denominator of o and r.
55
Let u be 2/9 - 7852/288. Let v = u + 223/6. Find the common denominator of v and 10/(-15)*54/8.
8
Suppose 0 = -8*s + 43 + 5. What is the lowest common multiple of s and 6?
6
Suppose 0 = -23*b + 785 - 233. What is the smallest common multiple of 54 and b?
216
Let d = -5 + 13. What is the lowest common multiple of (4/(-1))/((-1)/11) and d?
88
Suppose -5*i + 133 = 748. Let j = 11 + -2. What is the smallest common multiple of j and i/(-12) + (-3)/12?
90
Suppose 700 + 944 = -2*t. Find the common denominator of 4/9 and ((-28)/(-36) - 1)/(16/t).
36
Let g = 3 + 1. Suppose -s - g*s = -50. Calculate the lowest common multiple of s and (24/10)/((-7)/(-35)).
60
Suppose -4*u = 2*o - 764, 5*o + 5*u - 1148 = 2*o. Calculate the lowest common multiple of o and 22.
4246
Let a(r) = -25*r**3 - 2*r**2 - 3*r - 2. Let b be a(-1). Suppose 33*x + b = 35*x. What is the least common multiple of x and 18?
36
Suppose 7*l - 2*l - 5 = 0. Let i(b) = 6*b**2 - b. Let p be i(1). Calculate the lowest common multiple of l and 20/12*18/p.
6
Let w = 172 - 25. What is the smallest common multiple of 8 and w?
1176
Let m(g) = 2*g**2 - 3*g + 7. Let t = -73 - -78. What is the lowest common multiple of m(-4) and t?
255
Let p be 1/3 + (-4734)/14175. Let c = p - 45667/12600. Calculate the common denominator of c and (-2)/8 + 151/(-28).
56
Let q(v) = 0 + 4*v + 8 + 1. Let r be q(9). Calculate the smallest common multiple of (r/6)/(3/4) and 14.
70
What is the lowest common multiple of 12 and -12*(-2)/32 + 237/4?
60
Let s(l) = 8*l**2 - 20*l + 22. Calculate the least common multiple of 130 and s(1).
130
Find the common denominator of ((-70)/(-135))/(-1*4/30) and 71/114.
342
Calculate the smallest common multiple of 688 and (12 - (-1 + 4)) + 5.
4816
Let p(d) = -d**2 - 51*d - 348. Calculate the least common multiple of 414 and p(-34).
2070
Suppose -a = -3*a - 20. Let p = 5 + a. What is the common denominator of -6/11 and (-7 - p) + (-46)/4?
22
Find the common denominator of 35 and ((-15)/(-30) + (-27)/74)*-1.
37
Suppose 2 = 20*h - 38. Let s be 2/6 + 145/15. Suppose -2*w = -s - 30. Calculate the least common multiple of h and w.
20
Let w = 309 - 306. Suppose -3*s - s = -24. What is the lowest common multiple of w and s?
6
Let l be (-5)/15 - (-56026)/14160. Let m = 1/590 + l. Find the common denominator of -59/10 and m.
40
Suppose 2*q = -4*p - 98, -q + 2*q - 61 = 3*p. Let l = 30 + p. What is the smallest common multiple of l and 6?
24
Let j be 1/6*-38*-3. Let p be (-2)/(-3) + (-70)/6. Let a = j + p. What is the lowest common multiple of 2 and a?
8
Let y = -13469/60 + 1082/5. What is the common denominator of y and -2 - (-188)/48 - (-11)/33?
12
Suppose -2*q - 4*x + 292 = 0, 177 = -5*x + 182. Calculate the lowest common multiple of q and 54.
432
Let n = 1/33 + -25/33. Find the common denominator of n and -1 + (-116)/(-42) - (-66)/(-231).
231
Suppose 0 = s + 8*s + 972. What is the lowest common multiple of 12 and 6/(-27) + 3*(-872)/s?
24
Let h = 33 - 22. Suppose -8 - 12 = -4*l + 4*v, -17 = -l - v. Calculate the least common multiple of h and l.
11
Let s = -16372 - -589337/36. What is the common denominator of s and -67/20?
180
Find the common denominator of -19/60 and (-34)/(-48)*4*-4.
60
Let p = 88/37 - -1253/111. Let i = 419 + -201. What is the common denominator of p and i/55 - 10/(-25)?
33
Let w be 2/(2 + 400/(-202)). Let i = -319607/22 - -14524. Calculate the common denominator of i and w/48 - 1/(-3).
176
Let m = 179/5 + -24. Find the common denominator of m and 2 - 0 - 39/(-42)*-6.
35
Let q be (-1778)/(-49) + (-2)/7. Suppose q = 6*f + 3*f. Calculate the smallest common multiple of f and 6.
12
Suppose 7*a - 3 = 25. Suppose w = 2*x + 3*x - 18, -x = -a. What is the lowest common multiple of 6 and w?
6
Suppose -4*v - 5*u + 117 = -0*v, v - 39 = 2*u. Let w(o) = -o**2 - 22*o + 35. What is the smallest common multiple of v and w(-23)?
132
Suppose 0 = 3*x + 3*c + 6, 2*c + 4 = x + 6*c. Let i be x/(-8) - 12984/21. Let m = i + 613. Calculate the common denominator of m and 8/7.
14
Suppose -h - 6*r = -r - 66, 5*h - r = 278. Let f be 114/14 - 8/h. What is the common denominator of (-184)/10*f/(-32) and -51/11?
55
Let b(r) = 4*r - 18. Let q be b(5). Calculate the common denominator of 51/41 and (q/4*-85 - -1)/1.
82
Let d be 1/((-1)/4) + 139. Suppose -b - d = -6*b. Calculate the least common multiple of 11 and b.
297
Let b = 7341 + -58805/8. Let g = b + 903/88. Calculate the common denominator of g and 8 + ((-3)/(-4))/(117/(-3354)).
22
Suppose q - 2 + 0 = f, -5*q - 4*f - 35 = 0. Suppose 0*r = -4*r + 12, 0 = -m - 4*r + 25. Let z = q + m. Calculate the lowest common multiple of z and 14.
70
Suppose 1234 = 21*z - 2273. Calculate the least common multiple of z and 7.
1169
Let v = 1945 + -1942. Calculate the least common multiple of v and 12.
12
Let i be (-10)/4*66/(-39545). Let k = i + 45285/2876. Let c = -2681/4 - -652. Calculate the common denominator of c and k.
4
Let k be -3 - (-4)/4 - -137. Suppose -15*x = -10*x - k. What is the least common multiple of 6 and x?
54
Suppose 0 = m + 2*m - 9. Suppose 5*h + 101 = 4*u, -4*u - 2*h + 21 = -73. Calculate the least common multiple of u and m.
24
Let s = 1/9391 - -572841/93910. What is the common denominator of s and 1080/(-567)*(2 - (1 + 4))?
70
Suppose 0 = 17*f - 259 - 727. What is the smallest common multiple of f and 8?
232
Let h be (-34)/((-22)/7 + 3). Let t = -451 + h. What is the common denominator of 11/18 and 6/14 + t/(-42)?
18
Suppose 3*f - 5*s = 360, -4*f + 4*s + 480 = 8*s. Find the common denominator of 18/5 and 27/(-2)*(-32)/f.
5
Let d = 9/436 + 22191/2180. Find the common denominator of ((-980)/(-126) + -8)/(3/84) and d.
45
Let q be -6*6/(3 - 6). Suppose -a - 2*a = -q. Suppose b