the common denominator of a and -69/2.
34
Let t be 1 + (-1 - 678/1936). Let n = 20912/847 - 173/7. Let z = t + n. Calculate the common denominator of 9/8 and z.
8
Let u(r) = -r - 5. Let v be u(-7). Suppose -h + 42 = v*h. What is the least common multiple of 4 and h/(-3 - (-2 + -3))?
28
Let o = 68885/14 - 4924. Suppose -133 = -3*r + 830. Find the common denominator of r/198 + 4/(-6) and o.
154
Calculate the lowest common multiple of 269 and 5 + ((-528)/(-84) - (-4)/(-14)).
2959
Let y(h) = h**2 - 4*h. Let i be (-1 + 0)*-2 + 3. What is the smallest common multiple of (-1 + 0)*((-128)/8)/8 and y(i)?
10
Let m = 40 - 34. Find the common denominator of (-6454)/(-1617) + m/(-33) and -11/7.
21
Suppose -5*w + 970 = 3*c - 513, 3*c - w = 1507. What is the smallest common multiple of c and 1?
501
Suppose q = -2*q + 48. What is the least common multiple of (5/(-1) - -2)*(-44)/6 and 40/(-4)*q/(-5)?
352
Calculate the common denominator of 0 + 0 - (-62)/(-24) and ((-69)/(-128))/(-9*(-4)/12).
384
Let n = -2729/40 - -581/10. Let p be (-38)/10 + (-7)/35. Find the common denominator of n and (-1)/9*222/p.
24
Calculate the common denominator of 71/45 and (2/48)/(34/(-2074)).
360
Let o be 15 - (-2)/((-6)/(-9)). Let j = -16 + o. Suppose -3*f + 110 = j*f. Calculate the lowest common multiple of f and 4.
44
Suppose -9 = 2*c - 0*c + 5*y, 5*y = 2*c - 21. Let n = c + 12. What is the common denominator of 63/10 and (33/(-8))/(n/(-5))?
40
Let l = -416/19 - -13817/684. Find the common denominator of l and -131/120.
360
Let u = -2/19 - -103/76. Suppose 4*n + 5 + 1 = -2*f, -15 = n + 5*f. What is the common denominator of n + -1 + 27/12 and u?
4
Calculate the common denominator of 35/522 and ((-583)/660)/(7/14).
2610
Let b be (-2)/(-4*(-2)/16). Let x be 16/(-56) - b/14. Calculate the common denominator of 47/6 and x + -1 + 154/4.
6
Let w(i) = -i**3 + 7*i**2 + 2. Let v be 1 - 1 - 3*2/(-3). Suppose -3*k + v*y + 20 = 4*y, 4*y - 10 = -3*k. What is the lowest common multiple of w(7) and k?
10
Calculate the common denominator of -49/3 and 2 + 2 - ((-442)/48)/(-13).
24
Let b = -22249/2 + 10467. Let z = b + 691. What is the common denominator of z and -39/10?
10
Suppose -3*f + 34 = 7. Let m be (-124)/30 + 7/(210/4). Calculate the lowest common multiple of f and (m - -1) + 23 + 3.
207
Suppose 511 = 5*p + 21. What is the least common multiple of 63 and p?
882
Suppose -3*x + 43 = 13. What is the common denominator of -59/2 and (-6)/(-24) + (-11)/x?
20
Suppose -5*h + 191 = -3*t, 3*h + 4 = 5*t + 109. What is the least common multiple of h and 28?
280
Let a be (8/(-3) - -1)*-3. Let p be 20 + (0 - 1 - -1). Suppose 2*l + 16 = 2*n, a*l = -n - 4*n + p. What is the lowest common multiple of 12 and n?
12
Let a(o) = 3*o**2 - 5*o**3 + o - 2*o**2 - 5 + 6*o**3. Let q be a(0). What is the smallest common multiple of 10 and (-20)/q - (-3)/(-3)?
30
Suppose 0 = -51*c + 46*c + 140. What is the lowest common multiple of c and 84?
84
What is the smallest common multiple of 43 + -10 + -4 + 7 and 162?
324
Suppose -16 = 2*d - 3*u + 2*u, -4*d = 2*u + 32. Let k be (-21)/3 - (5 + d). What is the lowest common multiple of 14 and 1*3*k/(-3)?
28
Let x(k) = -k + 13. Calculate the lowest common multiple of 6 and x(7).
6
Let u(p) = -4*p**3 - p**2 - 3*p - 10. Let i(l) = 5*l**3 + 2*l**2 + 4*l + 11. Let d(n) = -6*i(n) - 7*u(n). What is the lowest common multiple of d(-2) and 4?
12
What is the common denominator of (-24 - -23) + 50/108 and 83/162?
162
Let d(v) = v**2 + 32*v - 63. What is the smallest common multiple of d(12) and 9?
1395
Suppose -1 = 5*c + 14, 4*c = 5*l - 152. Let m = 18 - 8. What is the lowest common multiple of m and l?
140
Let i = -505 + 515. What is the lowest common multiple of i and 20?
20
Let u(b) = b**2 + 2*b - 3. Let s be u(-4). Suppose s*m = 2*y - 20, 5*y - 20 = 5*m + y. Calculate the common denominator of ((-42)/(-15))/(m/15) and -71/14.
14
Find the common denominator of -21*6/66 - -6 and -1 - 0 - (-582)/36.
66
Let z = -4 - -194. Suppose -5*q = -5*c - 190, 5*q + c = -0*q + z. Let u = q - 26. What is the smallest common multiple of 18 and u?
36
Suppose 2*n + 22 + 73 = 5*j, -3*j + 88 = 5*n. Let h = -21 + j. Suppose 5*u - m - 41 = h, 14 = u + u - m. What is the lowest common multiple of u and 11?
99
Calculate the common denominator of 4/21 and 1*1/174*103.
1218
Calculate the least common multiple of 22 and (-17)/((-136)/72) + 68.
154
Let t = -8379 - -301613/36. Calculate the common denominator of t and -31/156.
468
Let h(j) = j**3 + 6*j**2 + 6*j + 6. What is the lowest common multiple of ((-243)/36)/((-3)/8) and h(-4)?
126
Let z(x) = -x**3 - 3*x**2 + 1. Let c be z(-3). Find the common denominator of (3/8)/((-9)/82) and (-23)/(-4)*c/5.
60
Let q = -593 + -75. Let d = q + 5409/8. Find the common denominator of 0 + 1 - (-261)/(-66) and d.
88
Let g(d) be the second derivative of -d**3/2 - 5*d**2/2 + 12*d. Calculate the smallest common multiple of 2 and g(-9).
22
Let h(d) = d**2 + 22*d + 7. Let j(b) = b**2 + 23*b + 6. Let w(g) = -6*h(g) + 5*j(g). What is the smallest common multiple of 66 and w(-15)?
198
Let t = -24953/56 + 3190/7. Calculate the common denominator of t and 85/22.
88
Let u = -318 + 638. Calculate the common denominator of -65/6 and (-4)/(u/(-678)) + (-18)/(-45).
24
Let l = 506 - 2983/6. Let g = -37 + 30. Find the common denominator of (-4)/(g - -39)*(69 + 1) and l.
12
Calculate the common denominator of -79/48 and 4/(-6) + (-161)/(-48).
48
Calculate the lowest common multiple of ((-22)/(-4)*-1)/((-7)/84) and 54.
594
Let l(z) = 5*z**3 - 7*z**2 - 5*z - 2. Let p be l(7). Let i = -11951/9 + p. Let x = 4180 - 29208/7. What is the common denominator of x and i?
63
Suppose n = 3*l - 8*l + 62, -5*n = -5*l - 190. Find the common denominator of -71/18 and 277/(-60) + (-56)/n.
180
Suppose -14 = -5*o - w, o + 3*o - 14 = 2*w. What is the common denominator of (-14)/48*o - 2 and 3/10?
40
What is the common denominator of 101/18 and ((-2)/5)/(72/105) + 0?
36
Suppose 626 = -18*j + 3290. Calculate the least common multiple of 20 and j.
740
Suppose 6 = 2*u - 16. Calculate the lowest common multiple of u and 36.
396
Let b(u) = u - 10. Let g be b(11). Suppose r = g - 21. Find the common denominator of 29/10 and 951/120 + 16/r.
40
Let j(s) = -17*s + 8. Let m be j(-6). What is the common denominator of (1/14)/((-2)/m) and 196/(-54)*(-3)/(-4)?
126
Let h = -124 - -1683. Let g = 17185/11 - h. Calculate the common denominator of 485/5*(14/(-16) + 1) and g.
88
Let m = -162/13 - -999/52. Calculate the common denominator of m and 41/44.
44
Let r be (-1)/2 - (-9)/2. Find the common denominator of 24/(-9) + 4 + 17/4 and r/(-6) - (-478)/60.
60
Calculate the smallest common multiple of 2805/13 + 96/416 and 99.
2376
Calculate the common denominator of -73/64 and (-1)/12*(-3 - 512/4).
192
Let n be (3/4878)/(-3 - 9/(-6)). Let f = n - -39842/12195. What is the common denominator of f and 145/6?
30
Suppose 9*n + a - 137 = 5*n, 0 = -3*n + 2*a + 100. What is the lowest common multiple of 9 and n?
306
What is the common denominator of (4*(-3)/(24/(-74)))/(-2) and 2/(-24)*14*8?
6
Let v(c) = c**2 - 4*c - 3. Let x(f) = f**2 + f + 1. Let s be x(-3). What is the lowest common multiple of v(s) and 14?
126
Suppose -m = 2, 6 - 3 = -k - 5*m. Calculate the smallest common multiple of k and 106.
742
Let n be 4/(-8)*7/(35/(-40)). What is the common denominator of 125/36 and 202/(-40) + (4 - n)?
180
Suppose -4*y + 7*y = 75. Suppose -5 = 2*p - y. Calculate the smallest common multiple of p and 20.
20
Let b = 2095/528 + -100/33. Calculate the common denominator of b and -5 + 2 + 350/36.
144
Let x = -2/6803 + -496519/340150. Calculate the common denominator of x and -119/10.
50
Let u = 2810/3 + -2431/6. Let p = 522 - u. What is the common denominator of p and 125/6?
6
Let z = -3235076/189 + 17117. Calculate the common denominator of z and -5/18.
378
Suppose 5*b + 105 = 435. Calculate the least common multiple of 48 and b.
528
Let a(z) = -z**3 + 5*z**2 + 10*z - 12. Let y(l) = -l**2 + 7*l + 6. Let d be y(7). What is the lowest common multiple of a(d) and 18?
36
Let l be 0 + (-3)/(-1) + 677. Let o be (-3)/(-4) + l/32. What is the common denominator of 35/o - 10/20 and 47/10?
110
Let m = -42695/8 - -5346. Calculate the common denominator of 33/5