/12.
12
Let z(b) = -b + 8. Let j be (-108)/(-8)*(-1)/((-3)/(-4)). Calculate the smallest common multiple of z(0) and (j/24)/(2/(-16)).
24
Let c = 24 - 5. Suppose 0 = -3*f - 16 + 43. Calculate the smallest common multiple of ((-2 - 0) + 15/f)*-3 and c.
19
Let q = 370927 + -956991851/2580. What is the common denominator of -1/660 and q?
28380
Let u be (-1 - -11)*(-2 - (5 + 7)). What is the least common multiple of 18 and 14/u - (2 - 1482/20)?
72
Suppose 5*k + 6*t + 47 = 3*t, 2*t - 20 = 4*k. Let l = k - -13. Suppose 3*u - l = 3*w - 4*w, -6 = -3*u + 2*w. Calculate the least common multiple of 1 and u.
2
Let i = -5081 + 2701. Let g = i - -66663/28. What is the common denominator of 17/36 and g?
252
Suppose 5076 = 96*d - 49*d. Let y = -11 - -31. What is the least common multiple of d and y?
540
Let s = -419 - 21. What is the common denominator of (89/12)/(2/4) and s/50 + -3 + (-14)/(-4)?
30
What is the least common multiple of 104 + -8*(-2)/16 and 11?
1155
Let n = -524/3 - -23564/135. Calculate the common denominator of -113/960 and n.
8640
Let s = 30/3299 - 519550063/49485. Let o be 10505 + 0 - (2 - 0). Let q = o + s. Find the common denominator of q and 62/57.
285
Let y = 11 + -6. Suppose -2*q + 33 = y*f - 83, -52 = -2*f + 2*q. Suppose t = -4 + f. Calculate the least common multiple of 66 and t.
660
Suppose 112 = -2*w - 2*g, -5*w = -8*w + 4*g - 154. Find the common denominator of 26/11 and 5 + 603/w + 2/4.
33
Calculate the common denominator of (-46456)/504336 - (7 + 1072/(-152)) and -73/6.
3318
Let h be (-6*348919/(-408))/((-10)/2). Let m = -4103/4 - h. Find the common denominator of -97/10 and m.
170
Suppose -g + 3*a - 22 = 0, 3*g + 0*g - 3*a + 42 = 0. Let d = 8513 - 136165/16. What is the common denominator of g/15 - (-1 - 221/(-60)) and d?
80
Let l(i) = 108*i**2 - 3*i + 1. Let m be l(1). Let c = m + -103. Calculate the lowest common multiple of c and (45/(-6))/(3/(-6)).
15
Let k(q) = 3*q**2 - 2*q + 1. Let d be k(2). Suppose -1 = -d*o + 62. Suppose -295 = -o*l + 48. Calculate the common denominator of l and -9.
1
Let o = -8290/33 + 375597/1496. Find the common denominator of o and 55/153.
1224
Let m(k) = -5*k - 13. Let j(q) = -q + 3. Let y(u) = 4*j(u) - m(u). What is the least common multiple of 27 and y(-10)?
135
Let l(k) = -28*k - 53. Let i be l(9). Let t = i - -311. Calculate the lowest common multiple of t and 2.
6
Let a = 18/32537 + 3281593/8394546. Find the common denominator of a and (-2058)/720 + (-2)/(-5).
1032
Let v(k) = -10*k + 38*k + 41*k**2 - 28*k**2 - 20. Let z(p) = -3*p**2 - 7*p + 5. Let f(s) = 2*v(s) + 9*z(s). What is the least common multiple of 11 and f(-7)?
55
Let r = -27/439 + 44825/7902. What is the common denominator of 93/652 and r?
5868
Calculate the common denominator of -16/3115 and (-3 + -1 - -12)*(6 - (-992)/(-168)).
9345
Let h = -603 - -607. Suppose h*r = 272 - 96. Calculate the lowest common multiple of r and 144.
1584
Let z be ((-4)/6)/(1/(-72)). Let w be 72/12 + ((-12)/(-15))/(6/(-15)). Suppose w*y = 2*y + z. Calculate the smallest common multiple of 11 and y.
264
Let n = 10488422491/3840 + -2731360. What is the common denominator of n and 77/384?
3840
Suppose -6*u = -u - 3*c + 17104, 0 = u - 5*c + 3412. Let s be (-2)/4*u*-1. Let k = s + 27387/16. Find the common denominator of k and 67/4.
16
Let v be (12/(-8))/(2/(-12)). Suppose 0 = 2*h - 3*u - 14, h + 4*u + 6 = -v. What is the least common multiple of 141771/7536 - 6/(-32) and h?
19
Let y = 8290 - 14352. Let u = y - -36281/6. Let n = 1/510 + -4763/1530. Find the common denominator of n and u.
18
Suppose -2*h - 715 = 5*d, -3*d - 4*h - 233 = 196. Calculate the common denominator of 4/11 and (-3 - d/44)*(-556)/6.
66
Suppose 0 = 3*w + 9, -5*f - 4*w + 3*w - 78 = 0. Suppose 32*d = 26*d - 1560. Let p = -1045/4 - d. Find the common denominator of p and f.
4
Suppose a - 1264 = -2*m - 149, -1112 = -2*m - 4*a. Calculate the least common multiple of m and 558.
558
Suppose i + 2*w = -67, -18*i = -20*i + 4*w - 102. Let r = 150 + -82. Let a = i + r. Calculate the least common multiple of a and 9.
9
Suppose 91*m + 16515 = 96*m. Let v = m + -36387/11. Calculate the common denominator of v and 1/4 + (-2)/(24/231).
11
Suppose 37 = 2*t - i, -3*i = -2*i - 3. Let f be 4 + 25/(-5) + 213. Let x = -206 + f. Calculate the least common multiple of t and x.
60
Let w = 185 - 272. Let h = 12 + -8. Calculate the smallest common multiple of 11 and (w/6)/(2/h*-1).
319
Suppose 0 = 5*h + 3*b + 23, -2*h - 81 + 8 = 7*b. Let r = -2 + 6. Suppose 0 = -r*z + z + 12. Calculate the lowest common multiple of h and z.
4
Let j = 468 + -433. What is the smallest common multiple of j and -1 - 2 - (-19 - 14)?
210
Suppose 6970*n - 6975*n = -280. What is the smallest common multiple of n and 192?
1344
Let x = 7831 - 93907/12. What is the common denominator of x and 59/642?
1284
Suppose 2*w + 48 = 5*z - 38, 2*w = z - 22. Let d = -28 + 30. Suppose 4*s = d*y + 18, 3*s = -s + y + 17. What is the least common multiple of z and s?
16
Let d(k) = -35*k**2 + 4*k - 36. Let z be d(5). Let u = z + 9764/11. Calculate the common denominator of ((132/40)/11)/(2/165) and u.
44
Let u = -553 + 1229. What is the lowest common multiple of 234 and u?
6084
Let p = 1811 - 1640. What is the least common multiple of 12 and p?
684
Let q be 2/11 + 8086/(-5148) + 1. Let n = 70625/725688 + -1/10079. Let r = q + n. Calculate the common denominator of 40/21 and r.
168
Let y = -570 - -584. Suppose -h + 2*k + 8 = 0, 0*k = -h + k + 7. What is the lowest common multiple of (-2)/h - 28/(-3) and y?
126
Let q = -124 - -127. Suppose 4*t = 5*c - 6*c + 45, q*t = -c + 34. Let j = -29 - -51. Calculate the smallest common multiple of t and j.
22
What is the common denominator of (-2)/(-32) - 40452/667200 and -133/12?
41700
Suppose -26*i - 7248 + 278036 = 12*i. Calculate the smallest common multiple of 10 and i.
35630
Let g(d) = d**2 + 17*d + 6. Let q be g(-3). Calculate the common denominator of -9/8 and 2/329*1098/q.
2632
Suppose -5*k + 0*a + 4*a - 1826 = 0, 1460 = -4*k + 4*a. Calculate the common denominator of -5277*8/3024 + 6/(-14) + 6 and 4/36*k/(-4).
18
Suppose -3*h - 3*l = -399, 11*h - 2*l - 254 = 9*h. Calculate the lowest common multiple of h and 325.
650
Let t(f) = 14*f - 91. Let s be t(8). Calculate the least common multiple of 37 and (s - 18)*(-2)/(-3).
74
Let i(r) = 10*r**2 + 5*r - 4. Let h be i(-3). Let q be 1*(0 + 1) - h. Let m = -49 - q. Calculate the least common multiple of m and 4.
84
Suppose 5*w = -2*r + 24, 5*w + 3*r - 2 - 19 = 0. Suppose -w*c = -0*c - 198. What is the lowest common multiple of c and 30?
330
Suppose 4*x - 16 = 5*s, 2*s = -2*x - 0*s + 8. Suppose -16*p + 4*p = -156. Suppose -15*f = -p*f - 16. What is the smallest common multiple of x and f?
8
Suppose -s = -3*v + 5, -8 = 3*v + 4*s - 3. Let o = 34 + v. Suppose -o*k = -40*k + 90. What is the smallest common multiple of k and 11?
198
Let s(c) be the first derivative of 12*c**2 - 48*c - 9. Calculate the least common multiple of 66 and s(3).
264
Suppose 36*j = 13*j - 69. What is the common denominator of -46/9 and 322/630*(-2 + j/(-6))?
90
Let s(f) = 18*f. Let j be s(3). Suppose v = 5*b + 40, v + 2*b - j = -0*v. What is the smallest common multiple of v and 15?
150
Calculate the smallest common multiple of 10 - (-27)/(189/11522) and 42.
11592
Let k = -37814/3 - -12628. Calculate the common denominator of k and 41/4690.
14070
Find the common denominator of 41/18 and (68/(-70)*(-160)/(-144))/38.
2394
Suppose 2*k + 4*h = -14, k - 3*h + 4 - 22 = 0. Suppose -12 = k*c - 2*p, 2*p + 4 = -5*c - 0. Find the common denominator of -81/16 and (36/(-8))/9 + 94/c.
16
Let l = 401077/56714 + -2/4051. What is the common denominator of l and (-3*(-3)/(-2268))/(1/(-122))?
126
Suppose 5*o - 2*o - 27 = 0. Suppose 25*n - 2512 = 10*n + 3893. What is the lowest common multiple of o and n?
3843
Suppose -7*c = -c + 538542. Let a = -174397857/1943 - c. Let j = a - -130241/19430. Find the common denominator of j and 48/25.
50
Suppose -290*d - 2*g + 32 = -287*d, -5*d = -3*g - 9. Calculate the least common multiple of 9504 and d.
9504
Let c(o) = -172*o - 684. Let m = -137 - -281. What is the least common multiple of c(-4) and m?
144
Let o(a) = a**2 - 5*a + 7. Let r be o(7). Suppose -r*k - 36 = -24*k. 