the common denominator of 99/40 and (6 + -4 - 298/144)*-28.
360
Suppose 0 = -5*s + 27 + 63. Suppose z - 6 - 2 = 0. What is the smallest common multiple of z and s?
72
Suppose 2*s - 7 = 17. Let o = -11 + s. Calculate the smallest common multiple of 1 and o.
1
Let f(m) = m - 5. Let r be f(5). Let z be (2 - 2)/(r - -2). Suppose i - 16 + 4 = z. Calculate the least common multiple of i and 8.
24
Let o = 113521/16 - 7101. Find the common denominator of -59/4 and o.
16
Let f = 105 + -62. Let p = f + -21. What is the lowest common multiple of p and 22?
22
Let j(i) = i**2 - 3*i + 4. What is the smallest common multiple of 22 and j(7)?
352
Suppose -3*i = g + 2*g + 12, -g - 22 = 4*i. Let n = 0 - i. Let m(j) = j**3 + 6*j**2 - 7*j + 4. What is the least common multiple of n and m(-7)?
12
Let y = -74/5 + 577/40. Let i = -42693/10 - -4274. What is the common denominator of i and y?
40
Let l(u) = -u**3 - 5*u**2 - 7*u - 6. Let v be l(-5). Suppose -2*b + 11 = -v. Calculate the lowest common multiple of 6 and b.
60
Let a = 18/10243 - 78659/50590177. Let p = -133333/98780 - a. Let d = 62/273 + -28267/5460. Calculate the common denominator of d and p.
20
Let p(a) = a**3 + 2*a**2 + 4*a + 3. Let k be p(8). Calculate the common denominator of (-4)/6 - (-125)/12 and 2/(-7) + k/280.
8
Suppose -7*d = -3*d - 40. Calculate the common denominator of (56/d)/(-3 - -2) and -45/2.
10
Suppose -6*u = -2*u. Suppose l + 4*m - 16 = u, 0*m + m = 5*l - 59. Suppose 0*b = 2*s - 5*b - 11, 10 = 2*b. What is the lowest common multiple of s and l?
36
Suppose -5*y - 6805 = 905. Let n = y - -12311/8. Find the common denominator of n and (-1)/(-4) - (-302)/24.
24
Let d = 25 + -17. Let n = 520 - 510. Calculate the least common multiple of d and n.
40
Let b(s) = 6*s**3 + s**2 - 12*s + 15. Let v(u) = -5*u**3 - 2*u**2 + 11*u - 14. Let j(a) = -6*b(a) - 7*v(a). Calculate the least common multiple of 20 and j(7).
220
Suppose -21*p + 7*p = -14. What is the lowest common multiple of 7 and p?
7
Let q = -15583/72 + 1791/8. Calculate the common denominator of q and 8/3.
9
Calculate the least common multiple of 20 and 2*(-3)/2 - -19.
80
Let b = 798/11 + -162803/2244. Let n = 4537/408 - b. Let z = -7213 + 115473/16. What is the common denominator of n and z?
16
Let o = -17313/2860 + 1/286. Let c = -18 - -7. Calculate the common denominator of c*(-9)/(-20) + 0 and o.
20
Suppose 5*t + 11 = -2*j, -4*t - 14 = -4*j + 3*j. Suppose -4*h = 5*s - 43, -h + 19 = 3*s - j*h. What is the smallest common multiple of 6 and s?
42
Suppose -5*o - 264 = -13*o. Calculate the common denominator of -139/18 and o.
18
Let k(p) = -p**3 + p**2 + 3*p + 14. Calculate the lowest common multiple of k(-3) and 1.
41
What is the lowest common multiple of 94/6 - 5/(-15) and 16?
16
Let x = -1289/2 + 676. What is the common denominator of x and 17/3?
6
Suppose -25 = x - 6*x. Calculate the smallest common multiple of x and 42.
210
Suppose -2*t = 2*k - 24, -3*t - 5*k = -t - 27. Calculate the lowest common multiple of t and (1 - 0)*((-2)/(-2) - -10).
11
Let k be 8/(-23642)*3/6. Let n = 118541229081 - 8407655215134767/70926. Let j = k + n. Find the common denominator of j and -45/7.
42
Suppose -4*o - 6*w + 41834 = -w, -o - w + 10458 = 0. Suppose o = r + 3*r. Let j = r + -15647/6. Calculate the common denominator of 71/14 and j.
42
Calculate the common denominator of (20/(-6))/(88/(-495)) and 26/18 + 0 - 1.
36
Let f(u) = u**3 - 5*u**2 - 6*u + 6. Let p be f(6). Calculate the common denominator of (-4746)/252 - (4 - -1) and (-9)/p*38/(-6).
6
Find the common denominator of -137/12 and (-651)/(-120) - (27/15 + -2).
24
Let c(i) = 3 + 4*i - 6*i - 2. What is the smallest common multiple of 10 and c(-4)?
90
Let q(s) = -2*s**3 + 6*s**2 + 8*s + 2. Let k be q(4). Suppose 2 + 8 = w. Suppose 2*x + k = w. What is the smallest common multiple of 6 and x?
12
Suppose t = -r + 12, -3*t + 6*t = 5*r + 52. Suppose -75 = -5*s + 5*x, -6*s = -2*s - 5*x - 59. What is the smallest common multiple of t and s?
112
Calculate the common denominator of 59/10 and 0 + 2 - 152/232.
290
Suppose 160 = 4*o - 0*o. Suppose -o = -r - r. Calculate the smallest common multiple of 22 and r.
220
Suppose 4*l = -f - 2, -5*l + l = -4*f + 32. Calculate the least common multiple of f and 28.
84
Let o = -1840 - -9166/5. Let b = 11818/7 + -1685. Calculate the common denominator of o and b.
35
Suppose -4*f + 4*y = -32, 4*f - 39 = 5*y - 7. Calculate the smallest common multiple of 6 and f.
24
Find the common denominator of (-2 + 63/20)*-6 and 17/10.
10
Let c = 4 - -5. Suppose 4*w - c = -1. Suppose 3*j = -4*u - w*j + 67, -59 = -3*u + 5*j. Calculate the smallest common multiple of u and 22.
198
Let x = 4267133 - 1036911541/243. Let y = x - -4/243. What is the common denominator of 436/48 + 2/(-8) and y?
6
Let k(s) = s**2 - 4*s + 6. Calculate the lowest common multiple of k(4) and 11.
66
Suppose 0 = -4*s + 6*m - m + 3, -2 = -2*m. Suppose s*o + v + 2 = -1, -4*o + 5*v = 27. Calculate the lowest common multiple of (o - -11)*1 + 2 and 10.
10
Let o(i) = i**3 - 2*i - 5. Calculate the least common multiple of o(3) and 14.
112
Suppose 5 = p - 3*j, 13 = 2*p + 2*j - 5*j. Let w = -5 + 15. What is the smallest common multiple of p and w?
40
Let t = -1211/810 - 2/405. Let q = 66 + -126. Calculate the common denominator of t and (-4)/(-10) - 346/q.
6
Suppose 5 + 1 = 3*x. Calculate the least common multiple of x and 20/(-35)*(-77)/2.
22
Suppose q - 4*p + 13 = 3, -4*p = q - 30. What is the smallest common multiple of q and 7?
70
Let d(m) = -m**3 + 4*m**2 + 3*m + 2. Let g be 36/45*(5 + 0). What is the smallest common multiple of 8 and d(g)?
56
Let m be (-14)/(-10) - (-2)/(-5). Suppose 4 - m = 3*l. Calculate the smallest common multiple of 1 and l.
1
Let x = 97571/33174 + 6/1843. What is the common denominator of x and -83/20?
180
Let a = 2 - 0. Suppose 2*s - 5*s + 2 = 4*v, 0 = 3*v + 4*s + 2. What is the lowest common multiple of (3/a)/((-2)/(-16)) and v?
12
Suppose -3*m - 11 + 29 = 0. What is the smallest common multiple of 2 and m?
6
Suppose -3*s - 2 = 5*i, -5*i - 3 + 9 = s. Let w(y) = 3*y + 2. Let l be w(s). Let b = l - -16. What is the smallest common multiple of 6 and b?
6
Suppose 930 = -14*l + 19*l. What is the lowest common multiple of l and 6?
186
Suppose -5*c + 10 = -4*c. Calculate the lowest common multiple of 9 and c.
90
Calculate the smallest common multiple of 32 and (16/14)/((-1)/(-7)).
32
Suppose -17 = -5*r + 48. Let n(b) = -10*b - 205. Calculate the lowest common multiple of r and n(-21).
65
Let s be (-6)/(-27) - 167134/(-22446). Let l = s - 2/1247. Calculate the common denominator of (-2)/(-5)*114/(-4) and l.
15
Let b = 36 - 26. Calculate the lowest common multiple of 6 and b.
30
Calculate the least common multiple of 6 and 22/2 - (-5 - -2).
42
Let v = 7 - 1. Let k = v + -8. Find the common denominator of (k - 33/(-18))*95 and 13/4.
12
Suppose 6*h + 36 = -4*z + 2*h, -4*h - 24 = z. Suppose -2 = -b + 2*k, 1 = b - 4*k - 1. Calculate the common denominator of -107/22 and 105/b - (-2 - z).
22
Suppose r - 3*n + 12 = 3*r, r + 2*n = 6. Let d be (12/16)/(r/4156). Let c = -538 + d. Calculate the common denominator of -1/10 and c.
10
Let v = -3 - -5. Suppose -v*l = 3*l. Suppose l = 3*z - z - 6. What is the smallest common multiple of 10 and z?
30
Let t(c) = -2*c**3 - c**2 + 6*c**3 + 1 + 2*c - c. Find the common denominator of t(-1) and (28/(-18))/(28/(-273)).
6
Suppose 0 = 4*q - 10 - 6. Calculate the least common multiple of q and 40.
40
Suppose 3*y + 21 = 2*i, -2*y - 14 = i - 7. Suppose 2*p + 2*d = -12, p + 4*d + i = -15. What is the common denominator of (-558)/12*p/60 and -107/10?
20
Let i = 218923/83324570 + -2/72205. Let t = i + -10682/2885. Let v = -1/10 - -203/30. What is the common denominator of v and t?
30
Find the common denominator of 1/(-6) + 2408/(-528) and -23.
11
Calculate the smallest common multiple of (2 - (-24)/(-9))*-6 and 13.
52
Let y(f) = 3*f**2 - 2. Let o be y(2). Let b = 1 + o. Calculate the smallest common multiple of b and 9/(-1)*(-5 + 4).
99
Let n = -326035/7 + 28698143/616. Let b = n + -144/11. Calculate the common denominator of -101/10 and b.
40
Suppose 0 = o - 15 - 3. Suppose 0 = -3*u + 16 + 122. Suppose 0 = t - 3*z - 1, 0*t - 4*t - 2*z = -u. What is the least common multiple o