 k = 4/1061 - -75307/6366. Calculate the common denominator of k and 95/18.
18
Let t = 787/3000 - 14/375. What is the common denominator of -55/32 and t?
160
Suppose -9*u + 326 = -88. What is the lowest common multiple of 11 and u?
506
Let y(q) = -q**3 + 7*q**2 - 9*q + 14. Let v be y(6). Find the common denominator of 59/3 and (43/v)/((-210)/(-120)).
21
Let f be (-4 - -1 - -1)*-2. Suppose 0 = -f*c + 4*q, 3*c + 30 = 4*c + 5*q. What is the lowest common multiple of c and 6?
30
Suppose 12 = 5*z - 13. Let x = 111 + -101. What is the lowest common multiple of x and 2/z + 36/10?
20
Suppose 78 = 5*v - 2*g - 165, 46 = v - 3*g. What is the smallest common multiple of v and 11?
539
Suppose -6*u + 36*u = 5850. What is the lowest common multiple of 104 and u?
1560
Let s be (10/3135)/((-12)/107241). Let t = s + 4/627. Suppose -3*m + 7 + 20 = 0. Calculate the common denominator of t and m.
2
Suppose 0 = u + u + h - 528, u - 5*h = 286. Let l = u + -519/2. Calculate the common denominator of l and (-114)/135 + (-2)/(-5).
18
Let p = -3659 + 3660. Calculate the least common multiple of 2*(-1)/4*-8 and p.
4
Let m = 18 - 6. Let x(y) = y**3 - 7*y**2 - 7*y + 6. Let f be x(8). Let t = 32 - f. What is the least common multiple of m and t?
36
Suppose 2*d = 2*f + 12, -2*f - 16 + 0 = -3*d. Let x be 12*(f/(-3) - 1). Calculate the lowest common multiple of (-2)/(14/x - -3) and 46.
92
Let t = 1192/5 + -9711/40. Calculate the common denominator of t and 0/(-5) - 38/(-24).
24
Suppose -3*z + 78 = -0*z. Let y = z - 18. Suppose -4*j = 4*f, 3*j + 2*f - y = f. Calculate the smallest common multiple of 8 and j.
8
Let n = 10255 - 1610070/157. Let y = -14321/1256 + n. Calculate the common denominator of y and 56/25.
200
Let h(r) = r**2 - 2*r - 187. Calculate the smallest common multiple of h(15) and 778.
3112
Calculate the least common multiple of (-40)/36 + 1/9 - -9 and 24.
24
Let f = -1501 - -7534/5. Suppose 0 = -2*y + 5*p + 88, -4*p = 3*y - 0*p - 132. What is the common denominator of (-6)/2 - (-296)/y and f?
55
Suppose 0 = -2*r + 7*r - 75. Let y be 42/r*(7 + -2). Suppose -5*a + y = -3*a. Calculate the lowest common multiple of 1 and a.
7
Let d = -1 + 1. Let p = -1910 - -1915. Suppose p*u + 1 - 6 = d. What is the smallest common multiple of u and 9?
9
What is the common denominator of (735/1029)/((-4)/42) and 89/22?
22
Calculate the least common multiple of (-267 + 27)*2*1/(-4) and 8.
120
Let x be (-4)/((-3)/3) - 2. Let y(a) = -1 + a**3 - 4 - 1 + 10*a**x + 8*a. What is the lowest common multiple of y(-9) and 1?
3
Let z(k) = -k**3 - k**2 - 2*k + 2. Let g(s) = 2*s**3 + 3*s**2 + 4*s - 4. Let d(q) = -3*g(q) - 5*z(q). What is the smallest common multiple of 3 and d(-4)?
30
Let m = -1159 + 11507/10. Let x(n) = -n**2 - 5*n - 4. Let w be x(-3). Calculate the common denominator of (w - 4) + (-38)/12 and m.
30
Let d(i) = i**3 + 9*i**2 - 9*i + 9. Let t be d(-10). Let o be ((-7)/(-2))/(t/(-2)). Let b = o + 6. Calculate the smallest common multiple of b and 4.
52
Let f(m) = -m**2 + 97*m + 1076. What is the smallest common multiple of ((-22)/(-8))/((-1)/(-4)) and f(-10)?
66
Suppose 9*r + 1048 = 5*r. Suppose 5*a + 5*j = 40, -3*j + 33 = -3*a + 7*a. Calculate the common denominator of 62/9 and r/(-60) + (-6)/a.
90
Suppose -2*v + 2 = -76. Let c be ((-6)/(-9))/((-12)/(-414)). Let w = v - c. What is the smallest common multiple of w and 2?
16
Let m be 17707/70876 - ((-18)/(-24))/3. Let x = -2002157/531570 + m. Calculate the common denominator of x and -13/27.
270
Suppose 144 = -f - 3*f. Find the common denominator of f and (-198)/2*(8/4)/8.
4
Let y(v) = -2*v**3 + 21*v**2 + 8*v + 44. Calculate the smallest common multiple of 64 and y(11).
704
Find the common denominator of (-2)/12 + (-1850)/(-148) and 11/12 - (2 + 0).
12
Suppose 7*y = 10*y - 9. Suppose -5*c - y*x = -548, 4*x = -0*c + 4*c - 464. Suppose 4*f - c = 2*f. What is the least common multiple of f and 8?
56
What is the smallest common multiple of 153 and 3*65/78*136/10?
306
Let i(d) = -d + 268. Let l be i(0). Find the common denominator of -133/6 and l/12*3/(-2).
6
Let j = 18 - -12. Let g = -5 - -17. What is the least common multiple of g and j?
60
Let k = -32 - -25. Let l = k + 12. Suppose -2*u + 4*h = -0*u + 10, -l*h = -20. What is the least common multiple of 8 and u?
24
Let o = 1/12171 - -12256195/24342. Let b = o + -523. Let x(l) = 25*l**2 + 2*l + 1. Calculate the common denominator of x(-1) and b.
2
What is the common denominator of 296/336*126/180 and 187/390?
780
Let y = -2 + 6. Let n be 1 - (-3 + y/2). Let z = 9 + n. What is the least common multiple of z and 8?
88
Let q = 185 + -73. Calculate the lowest common multiple of q and 154.
1232
Let f = -2665853/7 + 379191. Let o = -230943/140 - f. Find the common denominator of o and -91/6.
60
Suppose -2*z = -10, h - 16268 = 3*z + 4241. Let v = h + -410587/20. What is the common denominator of v and ((-2)/6)/((-20)/282)?
20
Let r = -5137/234 + 209/9. Let u = 4483 + -53647/12. What is the common denominator of r and u?
156
Let k(s) = -13 - 2*s - 4 + 6*s + 1 - 4. Let p = 21 - 13. What is the least common multiple of 6 and k(p)?
12
Let o(j) = -2*j**2 + 14*j - 1. Let f(h) = -3*h**2 + 15*h. Let p(q) = 3*f(q) - 4*o(q). Calculate the lowest common multiple of p(-11) and (-30)/(-3) + -3 + 1.
8
What is the common denominator of -37/324 and 0 - -2 - (5841/(-176))/9?
1296
Let t(l) = 4*l**2 + 2*l - 47. What is the lowest common multiple of 174 and t(-4)?
522
What is the common denominator of 4/45 and (-76)/342 + 2 + 217/(-90)?
90
Let h = -149057/18 - -8285. What is the common denominator of 2/6 - 206/(-12) and h?
18
Let l = 2340 - 51461/22. Calculate the common denominator of -23/156 and l.
1716
Let f = -513/10 + 2497/50. What is the common denominator of -59/10 and f?
50
Suppose 0 = 2*a + 2*a. Let i(s) = -s**2. Let t be i(a). Suppose -p + t + 4 = 0. What is the lowest common multiple of p and 10?
20
Suppose 0 = 2*c - 10, 3*j - 5*j + 47 = -c. Calculate the smallest common multiple of j and 5.
130
Let a = 48817/10 + -4804. Let w = 78 - a. Calculate the common denominator of w and (-4)/(-10) + (-866)/40.
20
Let x be (100 - 1)*6/171*-5. Let f be (-2)/114*4*67. Let v = x - f. What is the common denominator of v and -27/4?
12
Let u = 7054/2793 - 159/49. Calculate the common denominator of 37/5 and u.
285
Let m = 671/15 - 2087/30. What is the common denominator of -25/8 and m?
24
What is the common denominator of 19/6 + -3 + 578/420 and -30/119?
595
Calculate the common denominator of (-1)/(3 - -1) - 69/184 and -47/45.
360
Let o be (-2 + 0)/(-4 - -2). Let g be o*(3/3 - 4). Find the common denominator of 1 + (-174)/16 - g and -28/11.
88
Let n(d) = -11*d - 7. Let r(v) = 10*v + 6. Let h(u) = -4*n(u) - 5*r(u). Suppose -77 = -8*y - 5. What is the least common multiple of h(-2) and y?
90
Suppose g = -m + 67, -3*g - 55 = -4*g + 5*m. Suppose 0 = -z + 2*z + k + g, 4*z = -k - 248. Calculate the common denominator of 4/8 + z/(-8) and 32/5.
40
Calculate the least common multiple of 175 and 1 + 340 + 108/12.
350
Let t = -49 + 74. Let l = t + -20. What is the smallest common multiple of 11 and l?
55
Let f = 4483367/362 + -12385. Calculate the common denominator of f and 79/10.
1810
Let f(x) = -7*x**3 + x**2 - x - 1. Let b = -68 - -36. Let u = -22 - b. What is the smallest common multiple of u and f(-1)?
40
Suppose 3*k + 9 = -0*k. Let j = -1224 + 1242. Calculate the lowest common multiple of j and (k - (-3 - -2))*-2.
36
Suppose 4*w + 5 = 25. Suppose 0 = w*k + 4*m - 46, 3*k - 33 = -m + 4*m. What is the least common multiple of k and 10?
10
Let c = -1 + -2. Let u(h) = -3*h + 3. Suppose -3*m - 15*d = -13*d - 26, 5*m = -2*d + 38. Calculate the smallest common multiple of m and u(c).
12
Let m = -11 + 8. Let d be (-48)/(-3 - 0) + m. Let b = d + -10. What is the lowest common multiple of b and 10?
30
Let b = -854651/24 - -35616. Find the common denominator of b and -63/16.
48
Suppose 0 = 5*c - o - 2*o - 37, 4*c = o + 31. Let h = -201 + 141. Let f = h + 66. Calculate the smallest common multiple of f and c.
24
Calculate the smallest common multiple of 14 and 16/(-6)*(-8)/((-48)/(-9)).
28
Suppose 0 = 9*g - 25 - 2387. Find the common denominator of (-4)/(-1 + 25)*g/2 and 18/5.
15
Let h = 5 - -11. Let u = h + -7. Suppose 0 = -2