t u = 399/13 - 367/13. Find the common denominator of u and -79/26.
26
Let x(o) = o**2 - 11*o - 16. Let y be x(13). Let r(a) = a + 3. What is the least common multiple of 8 and r(y)?
104
Let n(o) = o**2 - 6*o - 4. Let v be n(5). Let m = 11 + v. Calculate the common denominator of (180/(-32))/3 - m and 48.
8
Calculate the common denominator of 69/20 and ((-188)/24 - -8)*115.
60
Suppose -6*x - 157 + 817 = 0. What is the smallest common multiple of 50 and x?
550
Suppose 0 = 2*k - 8, 3*k + 2*k = -n + 29. What is the smallest common multiple of n and 14?
126
Let v be ((-12)/30)/((-2)/(-110)). Let i be ((-388)/13)/(v/1). Let q = i - 21061/1716. Calculate the common denominator of q and 17/18.
36
Suppose r + 9686 = -3*y, -2*r = -6*r - 20. Let f = -25851/8 - y. Find the common denominator of 1/18 and f.
72
Let m(a) = a**2 + 10*a + 9. Let r be m(-9). Suppose -h + 6 - 1 = r. Suppose 2*f = -4*g + 10, f + g + 4*g = h. Calculate the least common multiple of 6 and f.
30
Let u = 113881/22 + -5173. Let l = 100859/17010 + -1/1215. Find the common denominator of l and u.
154
Let l be (-14)/1 + 0 + 0. Find the common denominator of (l/(-80))/((-1)/(-13)) and (6 - (2 + 2)) + (-87)/2.
40
Suppose -2*x + 3 + 17 = 0. Let t = 1 - -2. Suppose t*r + 3 = 15. Calculate the lowest common multiple of r and x.
20
Let t(c) = -4*c + 1. Suppose -4*x + 10 = -5*a - 9, 0 = 3*x + a. Let i be t(x). Calculate the common denominator of 49/18 and 1/i + 664/84.
126
Let p(w) = 8*w - 6. Let u(r) = -4*r + 3. Let l(k) = -2*p(k) - 5*u(k). Let s be l(3). Suppose -6*y - 18 = -s*y. What is the lowest common multiple of 3 and y?
6
Calculate the smallest common multiple of 2*((-1534)/(-468) + 2/9) and 2.
14
Let z(n) = 24*n - 104. What is the least common multiple of 12 and z(7)?
192
Let w(d) = 2316*d**3 - d**2 + 2*d. Let a be w(-2). Let o be (-14)/(-49) - 57039/a. Let l = -4/331 - o. What is the common denominator of -23/14 and l?
56
Suppose -19 = c - 21. Let m(r) = 4*r**2 - r - 3. Let h = -6 - -10. What is the least common multiple of h and m(c)?
44
Let l(u) = 7*u - 7. Let g be l(4). Let o(r) = -3*r**2 + g*r + 2*r**2 - 9*r - 6 - 9. Calculate the lowest common multiple of 1 and o(10).
5
What is the least common multiple of 6 and (-5)/(15/36) - -459?
894
Suppose -28*d + 4284 = 6*d. What is the lowest common multiple of d and 99?
1386
Let o(t) = -3*t + 1. Let v be 5 - (-6)/(12/(-4)). Suppose -3*i + n - 7 = 0, -n = -3*i + 2*n - v. What is the least common multiple of o(i) and 4?
20
Suppose -341*i = -344*i + 45. Calculate the lowest common multiple of i and 45.
45
Suppose -13*m + 10*m = -27. Calculate the lowest common multiple of m and 42.
126
Suppose -38*n + 468 = -216. Let g = -2 - 24. Let u = 46 + g. Calculate the lowest common multiple of u and n.
180
Let q be 24806/72 - 16/(-72). Let i = 7047/20 - q. Suppose -2*g = -5*y - 110, -2*g - 5 = y + g. Find the common denominator of y and i.
5
Suppose -3*x + x = 20. Let f = -13 - x. Let b = f + 25. What is the least common multiple of b and 12?
132
Let x = 14 + -9. Let m(t) = -4*t**3 + 2*t**2 - 3*t - 7. Let l be m(x). Calculate the common denominator of (l/(-96))/((-2)/(-6)) and -31/6.
12
Let t = 23 - 5. Let q = 2 + t. What is the least common multiple of q and 18?
180
Let d(y) = y**2 + 9*y - 38. Calculate the smallest common multiple of d(6) and 16.
208
Calculate the common denominator of -65/18 and 465/318*5/(-50).
1908
Suppose -9*f + 3*f + 72 = 0. Calculate the lowest common multiple of f and 15.
60
Suppose -2*r - 2*r + 12 = 0. Let w = -374 + 398. What is the least common multiple of r and w?
24
Let z be 9*((-2)/1 + 1). Let u = 60667/8 + -7573. What is the common denominator of u and z/216*(2 - 120)?
24
Find the common denominator of -107/70 and (6 - 486/33)/(0 - 2).
770
Let r(g) = g**2 - 81*g - 706. Calculate the lowest common multiple of r(-8) and 66/14 - 6/(-21).
30
Suppose 4*s = -u - 240, -2*s = 3*u - 35 + 155. Calculate the least common multiple of 9 and (-3)/(s/292) + (-4)/(-10).
45
What is the common denominator of (3 - (-660)/8)/(47 - -4) and 29/2?
34
What is the least common multiple of 8 and ((-60)/(-8) + -6)/(3/128)?
64
Let n = 1382 - 8317/6. What is the common denominator of 67/54 and n?
54
Let n be (8*-2 + 0)*1. Let a(c) = -c - 6. Let k be a(-5). What is the common denominator of (-58)/n + (2 - k) and 81/2?
8
Let h be (-353708)/(-122)*(-1221)/(-22). Let a = h + -160901. Let l = 5139/1342 - a. Find the common denominator of l and -41/12.
132
Let f = 33 - 21. Suppose 4*q + h = -2*h - 188, -4*h = 3*q + 134. Let p = q - -58. Calculate the smallest common multiple of f and p.
24
Suppose -4*p = 8*s - 4*s + 16, -2*s - p = 3. Let a(j) = 3*j - 2*j + 23 - 23. What is the smallest common multiple of s and a(4)?
4
Let t = -5332 - -85403/16. Let y = -4 - 8. What is the common denominator of t and (9/y)/((-9)/(-330))?
16
Suppose -2*x - 16 = -m, -5*m + 0*x + 36 = x. Suppose -k + 5*r = -19, -4*k + 11 + 14 = -3*r. What is the smallest common multiple of m and k?
8
Calculate the smallest common multiple of 4 and -9 - (-5)/((-10)/(-82)).
32
Let s = -1719/280 - 192/35. What is the common denominator of s and (-93)/6*(3 + 2)/(-5)?
8
Let m(s) = s**2 + 15*s + 55. Calculate the lowest common multiple of m(-11) and 109.
1199
Let z be 12/(-30) - 2/(-5). Suppose z = -w - 8 + 13. What is the lowest common multiple of w and 1?
5
Let k = -193/37 - 2177/370. Let x = -1379 - -874. Calculate the common denominator of k and (1/(-16))/(5/x).
80
Let q(w) = -w**2 + 7*w + 5. Let b be q(7). Suppose -3*m + 0*m + 4*i = -38, b = -i. Suppose m*p + 46 = 4*p. Calculate the common denominator of 19/2 and p.
2
Let a = 94030/3 + -1506349/48. Let z = 153/4 + a. Calculate the common denominator of 99/16 and z.
16
Suppose v + 117 = 5*v + h, -4*v + 2*h + 102 = 0. Let q = -80 + v. What is the common denominator of 26 and (q/8*2)/(-7)?
7
Let w = -119/2 - -533/14. Let c = -1525/63 - w. Calculate the common denominator of 19/10 and c.
90
Suppose -24 + 0 = -2*k. Suppose -k*g = -10*g. Suppose 3*l + 6 = -g, -2*l = -2*z - 32. What is the common denominator of 103/10 and z?
10
Suppose -b = 4*j - 96, 0 = -j - 4*j - 15. Suppose -5*a + 2*a - b = 0. Calculate the least common multiple of 19 and a/(-8)*6/9.
57
Let d = -19 + 50. Suppose -5*i = -3*b + 7*b + 85, 0 = -4*i - 3*b - 69. Let u = i + d. Calculate the smallest common multiple of 10 and u.
10
Suppose 2*w + 14 = -3*x, x - w + 6 = -7. Let v = -92637/10 - -9252. What is the common denominator of v and x/28 + (-347)/(-63)?
90
Let g be (-97)/(1/(-22) - 0). Let h = -13401938/9 - -1491236. Let p = g - h. What is the common denominator of p and 3/7?
63
Let k be (0 + (-44)/3)*(-297)/36. Let x = k - 103. What is the least common multiple of 3 and x?
18
Let w be 441/(-14) - 2/4. Let n = -20 - w. Let r = 29 - 17. Calculate the lowest common multiple of n and r.
12
Let o = 2835/1562 + 68/71. What is the common denominator of -51/77 and o?
154
Let l(u) = u**3 - 20*u**2 + 22*u - 35. Let k(g) = 2*g + 55. Let r be k(-18). What is the smallest common multiple of 22 and l(r)?
22
Suppose 0 = -59*b + 66*b - 42. What is the lowest common multiple of 214 and b?
642
What is the common denominator of 51/32 and (60/(-800))/((-12)/650)?
32
Suppose 4*a - 2*q = 18, -2*a + q = 4*q - 13. Suppose 3*c - a*c - 3*m + 18 = 0, 2*m = -3*c + 37. Let r = c - -5. What is the least common multiple of r and 20?
20
Let c = -33589/661408 - 6/1879. Find the common denominator of c and 89/4.
352
Let t(y) = y. Let a = 16 + -20. Let n(d) = d - 8. Let z(v) = a*t(v) + 2*n(v). What is the least common multiple of z(-13) and 8?
40
Suppose 0 = -2*a + 5*a - 558. Suppose 5*m + 11 = a. Suppose -3*x = 2*q - 4, 0 = -3*q + 4*x - 12 + m. What is the lowest common multiple of q and 3?
15
Let t = 1086 - 958. What is the smallest common multiple of t and 32?
128
Let y be ((-8)/(-14))/(36/126). Suppose -3*v + 92 = y*f, -2 = -f + 2*f. Calculate the lowest common multiple of v and 36.
288
Calculate the least common multiple of (3 - -46) + (-2 - -1) and 96.
96
Suppose -178 - 402 = -29*z. Calculate the least common multiple of -1*2 + 10 + 2 and z.
20
Let o be (-1)/(-5) + 76/(-5). What is the common denominator of (-1 + (-10)/o)*-129 and (164/(-16))/((-15)/(-18))?
10
Let h = 7746292 + -2904851297/375. Let g =