 common multiple of a and 77.
3157
Suppose -16 = 58*z - 56*z. Let x be (-214198)/80 + 2/z. Let w = 2680 + x. What is the common denominator of w and -94/45?
360
Let o be ((-1)/(-6))/(1854/27). Let b = o + -7019/6180. What is the common denominator of b and 68/45?
45
Suppose 5*z - 26*z + 66 = -10*z. Suppose -j = -4*h + 142, 3*h + 5*j + 26 = 4*h. What is the lowest common multiple of h and z?
36
Suppose 3*z + 168 = -36. What is the common denominator of -64/9 and 1/(((-420)/z)/7)?
45
Suppose 3*z + 9 + 0 = 0. Suppose -7*h + 11 = 2*r - 3, 4*h - 8 = -2*r. Calculate the smallest common multiple of h and 24/(-3)*z/3.
8
Let j be (3627/62)/(2/8). What is the common denominator of -36/65 and ((-28)/j)/(14/56)?
585
Suppose 5*p - 10*p = -30. Suppose p*m = l + 2*m - 5, -59 = -5*l + 3*m. Let h(r) = -r**2 + 15*r - 21. Calculate the least common multiple of 29 and h(l).
145
Suppose 0 = 17*n + 183 - 47. What is the common denominator of 1/n + 246/(-1392) and -63/2?
116
Let i(y) = 78*y - 97. Let n be i(6). Let s = 7058/19 - n. Let t = 1374 - 5529/4. Calculate the common denominator of s and t.
76
Calculate the lowest common multiple of 11/((-22)/(-192)) - (96 + -96) and 5364.
42912
Let b be (-18)/(-18) - 1/(-1). Suppose 0 = -4*y - 4*j + 8, -4*y = -b*y - 5*j - 32. Calculate the least common multiple of 712 and y.
2136
Suppose -24*p + 1812 = 1428. What is the least common multiple of p and 220?
880
Let v = -649243/90 + 7214. What is the common denominator of -34/27 and v?
270
Let u be 16/56 + (-206)/(-14) + -2. Suppose -3*w + 0*w = -i - 17, 2*w = i + u. What is the common denominator of ((-3)/11)/(w*(-1)/(-12)) and -52/9?
99
Suppose 0 = -2*x - x + 1575. What is the smallest common multiple of x and (306/(-459))/(8/(-84))?
525
Calculate the common denominator of (-68)/(-1122)*21/2*-2 and -139/156.
1716
Suppose -8301 = -90*m + 12860 + 1879. Suppose 20 = -4*y + 8*y. What is the least common multiple of m and y?
1280
Let i = 89 + -92. Find the common denominator of -13/33 and (-2210)/312*(-2)/i.
198
Suppose -2*k + 4*y + y + 20 = 0, -y = k + 4. Suppose 11*x - 10*x - 24 = k. Let f = x + 8. Calculate the smallest common multiple of f and 4.
32
Let a(o) = o**2 + 2*o + 6. Let t be a(-5). Suppose -f = 0, -3*x + 3*f - t = -4*x. Let p = 479 + -449. What is the lowest common multiple of p and x?
210
Let l(g) = 76 - 4*g - 3 - 3*g + 23. Calculate the least common multiple of l(8) and 24.
120
Let u = -42242/9 - -4688. Find the common denominator of u and ((-13454)/420 + 32)/(2/(-178)).
90
Suppose 4 = -18*r + 58. Find the common denominator of r + (-1285)/120 + -2 + 4 and 23/8.
24
Let b(p) = p**2 + 80*p + 769. What is the smallest common multiple of b(-10) and 84?
1932
Let t(w) = 2*w**2 + 3*w**2 - 2*w - 3*w**2 - 10. Suppose -3*r + 3*n - n + 46 = 0, -3*r + 3*n + 51 = 0. Calculate the least common multiple of t(5) and r.
60
Find the common denominator of (8/(-14))/((-15)/455) and (1159/5529)/((-14)/14).
291
Let x = 59309/15 - 3956. Calculate the common denominator of -67/12 and x.
60
Let l be 14/(-35) + 57/5. Let w(b) = 18*b**2 - l*b**3 + 10*b**3 - 1 + 21 - b. What is the least common multiple of 2 and w(18)?
2
Suppose -5752 = -77*y + 15038. Calculate the smallest common multiple of y and 45.
270
Suppose 4*m - 5*w - 65 = 0, 45 = 2*m + 19*w - 24*w. Let d(k) = -k**3 + 6*k**2 - 6*k. Calculate the smallest common multiple of d(4) and m.
40
Let q(c) = 1193*c + 23872. Let s = 41 - 25. What is the lowest common multiple of q(-20) and s?
48
Let g = 5175 - 4803. What is the smallest common multiple of 36 and g?
1116
Let n = 15 + -11. Suppose -3*g + 54 = -24. Suppose b = -n + g. What is the smallest common multiple of b and 1?
22
Let s(g) = g**3 - 7*g**2 + 9*g - 6. Suppose 280*u - 2632 - 2144 = 3064. Calculate the lowest common multiple of s(6) and u.
84
Let p(k) = 6*k**2 + 154*k - 5. Calculate the smallest common multiple of p(-29) and 7.
4025
Calculate the smallest common multiple of 80 and (1/1 + -1 + -10)/(198/(-3168)).
160
Let d(t) = t**2 - 3*t - 22. Let g be d(7). Suppose g*w - w - 45 = 0. Calculate the smallest common multiple of w and 3.
9
Let k = -37701908/345 - -109281. Find the common denominator of 59/759 and k.
3795
Suppose -50*m + 20289 = -14511. Calculate the lowest common multiple of m and 16.
1392
Let h = -1337 + 3409/2. Let s = h + -5831/16. Calculate the common denominator of s and 25/6.
48
Calculate the common denominator of 5/12 and ((1*(-3)/9)/(8/(-168)))/(-870).
1740
What is the common denominator of ((-1)/(-2))/(-12 + (-47551)/(-3934)) - 6 and -60/1379?
9653
Let n = -4 + 11. What is the least common multiple of ((1712/20)/4)/((-2)/(-10)) and n?
749
Let q(z) = z**3 + 8*z**2 - z. Let x be q(-8). Let r = 255 + -249. Suppose -r*m + 42 = x*m. What is the lowest common multiple of 8 and m?
24
Suppose 0*z - 5*z + 2379 = -2*k, 0 = -3*z - 5*k + 1384. Calculate the smallest common multiple of z and 129.
1419
Let v = 40 + -37. Let c(u) = 12 + 2*u**3 + 5*u**2 - 4*u**3 - 4*u + 3*u**v - u. Calculate the smallest common multiple of c(-6) and 12.
12
Calculate the lowest common multiple of 1105/41 + 360/7380 and 1329.
11961
Let d = -155/22 - -34787/4950. What is the common denominator of 55/207 and d?
5175
Let j(c) = -35*c - 9. Calculate the smallest common multiple of 8 and j(-3).
96
Suppose -576*z + 580*z + 24 = 0, 4*y + 3*z - 230 = 0. Calculate the least common multiple of y and 86.
2666
What is the common denominator of 4 - 33*(-3912)/(-32490) and 103/30?
10830
Suppose -8*l - 2 = -10*l. Calculate the common denominator of (210/(-468))/((-2)/4) and (7 + 106)*l/12.
156
Suppose -11*j + 35798 = -4*w + 3478, -4*w = 3*j - 8840. Calculate the least common multiple of j and 600.
29400
Calculate the lowest common multiple of -1 - 2 - (11 - (5 + 1179)) and 1560.
4680
Calculate the common denominator of 47 and (-34)/(-53635)*(86/(-4) - 0).
3155
Suppose 38*d = 14594 + 12272. Let x = d + -679. What is the least common multiple of x and 16?
112
Suppose 3*p - 14 = 1. Let b = 17 + p. Calculate the lowest common multiple of 16 + (4 - (7 + -3)) and b.
176
Calculate the common denominator of (-37 + 35)*(-11)/(-144) and -97/56.
504
Find the common denominator of 82/3342*(241 - 238) and -41/11.
6127
Suppose z - 116 = -18. Suppose 5*b - 7 - z = 0. Calculate the common denominator of 12/4 - b/18 and 3/11.
66
Let l(r) = r**3 + 12*r**2 - 3*r + 18. Let v be l(-14). Calculate the common denominator of 4/6*((-93)/(-4) + 2) and 3/54*v/4.
18
Let o = -9/2551 + 401317/229590. Find the common denominator of o and 111/1360.
12240
Let d be (-1)/(-4) - (-4 + (-9)/(-4)). Suppose -s + 115 = -2*s - 2*p, -d = -p. Let o = s - -128. Calculate the lowest common multiple of 12 and o.
36
Let v = 12 + 149. Suppose -162*t = -v*t - 24. Calculate the smallest common multiple of t and 64.
192
Calculate the lowest common multiple of ((-90882)/(-36))/27*(-6)/(-3) and 119.
1309
Let q(n) = n**2 + 2*n - 3. Let b(f) be the first derivative of 5*f**3/3 - 11*f**2 - 21*f - 414. What is the lowest common multiple of b(-1) and q(-6)?
42
Let n = 29105 - 1222513/42. Find the common denominator of n and 1/(-7) + (-6)/(-1260)*(-14660)/(-8).
84
Let f = 8969 + -179473/20. Calculate the common denominator of f and 226/44 - 1*2.
220
Let l(n) = 4*n + 7. Let a be l(-2). What is the smallest common multiple of 36 - (a/((-4)/8))/(-1) and 8?
152
Let m = -4265 + 4644. Calculate the smallest common multiple of 7 and m.
2653
Let n be (-2 + 1)*-5 - 1. Suppose l = 3*d + d + 8, -n*l = 5*d - 32. Calculate the least common multiple of 106 and l.
424
Let j = 33962879/504 - 67387. Calculate the common denominator of j and 69/14.
504
Suppose -b - 3*h = -14, 2*b + 0*h = 3*h + 28. Suppose 111 + b = 5*z. Let t = z + -17. What is the lowest common multiple of 5 and t?
40
Let l = -2404927/416 - -1386001655/23712. Let w = -52671 + l. What is the common denominator of w and ((-15)/(-36))/((-1)/27)?
228
Let b be (-1)/3 + 38/6 + -6. Let m(q) = q**3 + 3*q + 16. Calculate the least common multiple of m(b) and 4.
16
Let y be 203*(8 + -16)/(-8). What is the common denominator of y/(-60) + (-5)/(-6) and -11/20?
20
Let y = -343/6 - -934753/16350. Find the common denominator of y and 31/545.
2725
Let b = -145561/22 - -6620. What is the common denominator of -31/92 and b?
101