025 + -338826. Let w be (-2)/2 - b/(-63864). Let k = -60/887 + w. What is the common denominator of k and 73/22?
264
Let a be 2/(-4) - (-33)/2. Let p = a - -4. Let l = 3584 - 3568. Calculate the least common multiple of p and l.
80
Let i = -113 + 122. Let r(p) = -9*p - 3. Let l be r(-3). Suppose 4*o = -4 + l. What is the least common multiple of o and i?
45
Suppose -9 = -4*k + 3. Suppose k*s + 112 = 307. Let u = -197/3 + s. Calculate the common denominator of u and 33.
3
What is the smallest common multiple of 72/20*(1 - (-9)/6) and 3?
9
Let p = 358 - 350. Let a(i) = 3*i - 1. What is the smallest common multiple of a(4) and p?
88
Let g(z) = -5*z**2 - 9*z - 9. Let m be g(-2). Suppose 2*s = -3*s - 165. Let x = m - s. What is the least common multiple of 6 and x?
66
Let v = -98109/17 + 5774. Find the common denominator of v and 33/7.
119
What is the lowest common multiple of 21 and 60 + 17/((-102)/36)?
378
Let w(j) = -j - 3. Let x be w(-5). Let n = -1 - x. What is the lowest common multiple of 8 and (2 - (-8)/n)*-30?
40
Suppose 0 = -3*t + 2*t - 33. Suppose -5*b + 3 = -2. Calculate the smallest common multiple of 1/3 - t/9 and b.
4
Let b be 1066/(-6286) - (-4)/28. Let a = 37099/6286 - b. Calculate the common denominator of a and -119/18.
126
Let x = -9 + 13. Suppose -x*w + 19 = -25. What is the smallest common multiple of w and 5?
55
Let b be (-3848)/(-6) - 2/6. Suppose 526 = 3*l - b. What is the common denominator of l/(-56) + 9/(-21) and 19/7?
56
Let g = 45/11 - -405/22. Find the common denominator of -8/3 and g.
6
Let j(u) = u**2 - 13*u - 14. What is the smallest common multiple of j(15) and 12?
48
Let m(c) = c**3 - 6*c**2 - 3*c - 7. Let r be m(5). Let z = -27 - r. Calculate the least common multiple of z and 54.
540
Let l(o) = -o + 10. Let u be l(5). Suppose u*j - 3*f - 78 = 0, 60 = 3*j - 3*f + 18. Calculate the common denominator of -123/20 and (33/(-15))/(j/15).
60
Suppose 0*l - l = 0. Calculate the smallest common multiple of (l - 3/(-6))*4 and 16.
16
Suppose 0 = 8*c - 111 - 65. Let u = -68 - -98. What is the least common multiple of c and u?
330
Suppose -s = 3*d - 54, -3*s + 0*d - d + 138 = 0. Suppose 0 = -4*o + s + 35. Calculate the least common multiple of 18 and o.
180
Let w = -98333/43690 - 18/1285. What is the common denominator of 67/9 and w?
306
Suppose p + 564 = -2*p. Find the common denominator of 2*(-4)/((-384)/237) and p/40 - (-8)/(-20).
80
Suppose 2*c - 64 = -2*c. Let g be 1 - (-4)/(c/(-19)). Let d = -4 - g. Calculate the common denominator of 14 and d.
4
Calculate the lowest common multiple of (-4)/6 + (7 - (-1449)/27) and 35.
420
Let l = -44 + 46. Suppose -l*w + 27 = -5*i, -5*w + 2*w + 2*i + 46 = 0. Calculate the lowest common multiple of 16 and w.
16
Let a(b) = -12*b - 17 - 1 + 9 - 2*b**2. Let r be a(-10). What is the common denominator of -50/9 and (3 - r/(-2)) + 0?
18
Let h(k) = k**2 + 5*k - 9. Let f be h(-7). Suppose -f*j + 42 = 7. What is the smallest common multiple of j and 7?
7
Let u = 3050/11 - 278. Calculate the common denominator of -53/216 and u.
2376
Let n be -1*2 - (-2 + 1114). Let c = -9982/9 - n. Find the common denominator of c and (22/(-11))/(16/30).
36
Find the common denominator of (1131/(-812))/((-3)/(-5) - 0) and 29/20.
140
Let x be -2 + 6 - (-2)/(-1). Suppose 3*i - 6 = x*i - m, -2*m = 8. Calculate the lowest common multiple of i and 10.
10
Let o(z) = -z**2 + 15*z - 42. Suppose 30 = 2*c + 2*w, 3*c + 4*w + 7 = 51. What is the smallest common multiple of o(10) and c?
16
Let g be (-4 - -6) + (-3 - 1). Let b(o) = -o**3 + 7*o**2 - 5*o + 7. Calculate the smallest common multiple of b(5) and ((-5)/(-10))/(g - (-324)/160).
160
Let q be ((-1)/6 - 88/48)/(-1). Suppose -3*r + 0*r = -4*s - 55, q*s - 88 = -4*r. What is the lowest common multiple of 48 and r?
336
Let i(m) = m + 7. Let k(z) = z**3 + 2*z + 5. Let a be k(0). What is the lowest common multiple of 6 and i(a)?
12
Let o be 25/(-10)*((-36)/10 - -2). Suppose -3*a - o*i = -19, i + 14 = 3*a - 0*a. Let g = 19 - 8. What is the lowest common multiple of a and g?
55
Let a = -13143 - -157625/12. Find the common denominator of ((-140)/96)/(3/12) and a.
12
Suppose -7*b - 3*m + 67 = -2*b, b + 2*m = 12. Let d(c) = 2*c**2 + 19*c + 57. Calculate the least common multiple of d(-3) and b.
126
Suppose -2352 = 312*k - 315*k. What is the smallest common multiple of k and 24?
2352
Calculate the smallest common multiple of (5/4)/(-10*8/(-640)) and 38.
190
Suppose c - 3*n + 4 = 0, -4*n + 15 = n. Suppose -2*t + 3*u + c = 0, -5*t = -6*u + 8*u - 22. What is the lowest common multiple of t and 1?
4
Suppose p + p = 16. Let x be (p/(-12))/((-4)/78). Suppose -3*s + 23 = -i, -s + x = 2*s + i. Calculate the lowest common multiple of 4 and s.
12
Suppose 7 - 2 = c + 3*g, 4*c + 4*g = 4. Let x = -3316 + 33273/10. What is the common denominator of c/(-9)*9/(-15) and x?
30
Suppose 0 = 3*z + 5*m - 7, z - m - 2 = -3*m. Suppose 18 = 5*w - 4*w. Calculate the lowest common multiple of w and z.
36
Let q be (5 + -4)/(2/(-84)*-1). Suppose 0 = 6*g - 9*g + q. Calculate the smallest common multiple of 20 and g.
140
Suppose -2*d - 2*f + 14 = -30, 0 = -2*d - 3*f + 44. Calculate the smallest common multiple of 112/(-49) + 2 - 13704/(-42) and d.
3586
Suppose 15470 = -0*p - 7*p. Let l = p - -8937/4. Find the common denominator of l and -89/16.
16
Suppose -2*i = -3*i - 10. Let l be 1 + 0 + (-12 - 1). Calculate the common denominator of i and (1 - (-142)/l) + 1.
6
Let r(s) = 3*s**2 - 39*s + 108. Calculate the least common multiple of 72 and r(13).
216
Let v = 19035/4 + -4782. Calculate the common denominator of v and 3 + 4 + 52/(-32).
8
Calculate the common denominator of -1/84 and (1 - (0 - (-427)/(-462))) + -2.
924
Let r = 1/3358 + 253511/60444. What is the common denominator of -29/24 and r?
72
Suppose 8*j = 19 + 69. Let q = -27 - -39. What is the least common multiple of q and j?
132
Suppose 0*j + 210 = 2*j. What is the least common multiple of j and 30?
210
Let g(r) = -r**2 + 5*r - 5*r + 2*r - 4 + 6*r. Calculate the lowest common multiple of 36 and g(4).
36
Let u(h) = 9*h**2 + h + 3. Let b be u(-4). Find the common denominator of 4/(-26) - (-9)/b and 73/10.
110
Suppose -4*d + 103 = -3*v, 25 = 5*v + 10. Let g = 32 - d. What is the least common multiple of 16 and g?
16
Let l(g) = -5*g - 3. Let i be l(-4). Suppose 5*b = -r + i, -b = 3*r - 4*r + 23. Calculate the least common multiple of 4 and r.
44
Calculate the smallest common multiple of 50*(-7)/70*-4 and 18.
180
Suppose 0*x - i = -x + 255, x + 4*i - 240 = 0. Suppose 10*n = -4*n + x. Calculate the smallest common multiple of n and 26.
234
Suppose 5*r = -5*d - 20, -4*r + 6 = -6. Let p(y) = -y**3 - 8*y**2 - 10*y + 1. What is the least common multiple of p(d) and 6*-4*1/(-12)?
22
Let u = -8507329/80 + 106343. Find the common denominator of -7/24 and u.
240
Suppose -12 = 2*s + s. Let w be (-11 + 5)*((-15)/9 + 0). Let d = w + s. Calculate the smallest common multiple of 10 and d.
30
Suppose -6*j + 4*j = 12. Calculate the common denominator of 13/18 and ((-37)/j)/((-4)/16).
18
Suppose 4*a + 26 = -206. Let f = -25 - a. Calculate the lowest common multiple of 18 and f.
198
What is the common denominator of 17/176 and (-555)/(-140)*(-10)/(-15)?
1232
Suppose -2*k = 3*j - 90 + 57, -4*k + 5*j + 99 = 0. Calculate the lowest common multiple of k and 21.
21
Let y be (-1 + 4 + -3)/3. Let r(o) = -o**2 + o. Let s be r(0). Suppose s = b - y - 2. What is the smallest common multiple of 16 and b?
16
What is the common denominator of (61/(-4))/((-1071)/(-238)) and 103/1804?
16236
Let b be 1/3 + 28*11/3. Suppose 3*o = b - 13. What is the lowest common multiple of o and 12?
60
Calculate the common denominator of (-40227)/20332 + (-4)/34 and 27/10.
260
Suppose 0 = -4*m + 5*h + 20 + 5, 4*m - 3*h = 23. Suppose 0 = m*p - 71 + 11. Calculate the lowest common multiple of p and 24.
24
Let t = 1627/2180 + 2/545. Find the common denominator of 89/24 and t.
24
Suppose 0 = -2*o + 3*o + 62. Let m = o + 150. Suppose -m = 5*j - 9*j. What is the smallest common multiple of 12 and j?
132
Suppose 0 = -5*z + o - 2*o + 102, -4*z + 82 = o. Suppose -7*s - z = -9*s. Calculate the lowest common multiple of s and 10.
10
Let h(b) = -b**2 + 37*b - 200. Calculate the least common multiple of 10 and h(7).