8786. Calculate the common denominator of -111/182 and m.
546
Let y = 3436 + -34387/10. Calculate the common denominator of y and -13/28.
140
Let o(n) = n**3 + 2*n**2 - 3*n + 4. Let s be o(-3). Suppose -s*i - 9156 = 2*i. Calculate the common denominator of -33/4 and 6/(-27) + i/180.
20
Suppose 0 = 2*l - 3*l. Suppose w - 53 = -4*i, l*i - 3*w = -5*i + 62. Let a = 0 - -4. Calculate the smallest common multiple of a and i.
52
Find the common denominator of -9 - ((-2875)/240 - -2) and -45/16.
48
Let p = -262 - -297. Calculate the lowest common multiple of 56 and p.
280
Let k = -445499/55305 + -3/12290. What is the common denominator of -83/66 and k?
198
Let n = -49/4432664 + 611612331929/199469880. Let f = -15364/5 + n. What is the common denominator of (-442)/60 - 5 - 2/(-10) and f?
18
Suppose -2*n + 5*f = -83, -f = -10*n + 7*n + 157. What is the smallest common multiple of 60 and n?
540
Let r = -2811/740 + -28/185. Find the common denominator of -101/32 and r.
160
Let x be (16 + -2)/(-1)*53. Let y be 15/60 + x/(-8). What is the common denominator of (-1)/(108/y - 1) and -101/10?
10
Suppose y + 4*y - o + 2108 = 0, -o - 1260 = 3*y. Let c = y + 771. What is the common denominator of -2 - (c/4)/7 and 75/4?
4
Let p(c) = -10*c - 40. Calculate the lowest common multiple of p(-7) and 90.
90
Let a(b) = -b + 1. Let v be a(0). Let f be 6/v*(-2)/6. Calculate the lowest common multiple of -1 + (3 - f/1) and 22.
44
Let y = -5755 + 465979/81. Let m = y + 3368/1053. Calculate the common denominator of m and -1/21.
273
Let d(k) = k**3 - 2*k**2 + k + 1. Let m be d(2). Suppose -2*w = -u - 0*u - 28, m*w - 60 = 2*u. Find the common denominator of 2/9 and ((-2)/u)/((-1)/(-88)).
9
Let g = -1195 + 1205. Let x(j) = 2*j**2 + 7*j + 5. What is the least common multiple of g and x(-6)?
70
Let x(i) = 3*i - 1. Let k be x(2). Suppose -7 = k*q - 37. Suppose -25 = -5*s, 0 = -w + q*s - 4*s - 4. What is the smallest common multiple of w and 6?
6
What is the common denominator of 76/21 and (-434)/(-903) - (3 + -3)?
903
Calculate the common denominator of -11/16 and (-21)/(-357) + 1622/(-2720).
80
Suppose -z - 58 = 5*o, -z - 16 = 2*o - 3*z. Let q = 1 - o. Calculate the lowest common multiple of 18 and q.
36
Let u = -79/111 + -806/999. What is the common denominator of u and 77/12?
108
Let p be 4/((2 + -1)*1). Suppose -2*n + 3 = -3*c + 67, c = 5*n + p. Calculate the smallest common multiple of 8 and c.
24
Let h be ((-54)/18)/((-3)/7). Let o = h + -20/3. What is the common denominator of o and 11/9?
9
Suppose 0 = j - 2 + 5. Calculate the least common multiple of 20/j*(-198)/44 and 2.
30
Let f = 25158 + -27095168/1077. Let l = 49556/7539 + f. Calculate the common denominator of (1 + 0)*(-174)/8 and l.
28
Let j be 5 + 20/(-5) + 5. Calculate the common denominator of 104/(-6)*(-11)/8 and 2/j + 187/24.
24
Let o = -7 + 9. Suppose -7 = o*s + 3. Let t = s + 9. Calculate the least common multiple of 4 and t.
4
Let t(k) = -k**2 - 5*k + 4. Let i be t(-5). Suppose j - x - 28 = 0, 5*j = -i*x - 36 + 140. What is the lowest common multiple of j and 7?
168
Suppose 11*d - 52 = -2*d. What is the least common multiple of 434 and d?
868
Let q = 284543/20 - 14231. Let x = -112/79091 - 165623517/50934604. Let u = 1/322 + x. Find the common denominator of u and q.
20
Find the common denominator of -1*(-4722)/10296 - (-9)/(-33) and -49/81.
4212
What is the lowest common multiple of 342 - (-3 - (2 - 9) - 3) and 93?
1023
Find the common denominator of -137/24 and (-41526)/(-612)*1/(-9) + 6.
408
Let m(l) = -15*l - 1 - 9 - 14 - 21. What is the smallest common multiple of 21 and m(-6)?
315
Let d = 266161/18 - 14780. Let x = 28916/21 - 4364/3. Let q = -4733/70 - x. Calculate the common denominator of d and q.
90
Let y = 63531 - 47267087/744. Calculate the common denominator of y and 64/21.
5208
Suppose 0 = 49*p - 51*p + 3850. Let u = 11615/6 - p. Find the common denominator of 6/(-8)*(-71)/(-6) and u.
24
Find the common denominator of 6300/1587 - (-11 + 10) - 5 and -67/3.
1587
Suppose 5*k - 6 = 3*k. Let p(t) = -16*t + 793. What is the lowest common multiple of k and p(49)?
9
Suppose 3*k - d - 112 = -0*d, -4*k = 5*d - 124. What is the least common multiple of k and 30?
180
Let n(s) = 7*s + 4 + s**2 + 6*s - 9*s. What is the least common multiple of n(-3) and 14?
14
Let z(d) = -d**3 - 4*d**2 - 3. Let h be z(5). What is the common denominator of 3 + (2 - h/(-56)) and (-182)/(-4) + -10 + 7?
14
Let j(d) = d. Let l be j(6). Calculate the common denominator of 818/(-120) + 4/10 and l/16 + 33/(-12).
24
Let z = 183/10 + -763/60. Calculate the common denominator of z and 61/6.
12
Suppose -61 + 21 = -4*f. Let v = 14 + 6. Suppose -4*l - l = -v. Calculate the lowest common multiple of l and f.
20
Let z = -1454 - -1697. What is the smallest common multiple of z and 24?
1944
Let w(f) = -f**2 - 2*f. Let d be w(-3). Let t = 8 - d. What is the smallest common multiple of 3 and t?
33
Let a = -519 - -2047/4. Let p = 11/260 - 31/26. Let t = p - -73/120. What is the common denominator of a and t?
24
Let a = 36 - 12. Calculate the common denominator of 13/4 and 357/(-90) - (-16)/a.
20
Let f = -3 + 5. Let z(h) = 90*h - 10. Let w be z(3). Calculate the lowest common multiple of f and w/16 - 2/8.
16
Suppose -3*r - 3 = 2*q, 4*r + 5 + 15 = 0. Calculate the least common multiple of 48 and q.
48
Let g(m) = -m**2 + 18*m + 4. Let t be g(8). What is the common denominator of 626/t + 2/(-7) and -1 - (1 + 165/(-12))?
12
Let t = -26 + 28. What is the common denominator of -41/5 and 4 - t/(24/(-146))?
30
Suppose -29 = -3*n + 5*t, 4*n - t + 3*t = 4. Suppose 5*f + 63 = v, -68 - 247 = -5*v - n*f. Let z = -285/4 + v. Calculate the common denominator of z and 121/10.
20
Let k be (11/(-2) + 2)*(24 + -6). Calculate the common denominator of k/(-18)*(-6)/(-10)*3 and 157/30.
30
Let k be (-66)/4*(-4)/6. Suppose -4*l + 1 = -k. Suppose -l*x - 3*x = -12. What is the smallest common multiple of 10 and x?
10
Let t(c) = 3*c**3 + c**2 - c. Let m be t(1). Suppose 3*k + m = 6. Suppose 0*d + 4*d = 24. What is the least common multiple of d and k?
6
Let f(a) = -4*a - 2. Let g be f(-3). Suppose 2*z = g + 2. Calculate the least common multiple of 4/(-1) - (114/3)/(-1) and z.
102
Let i = -729/88 + 51/44. What is the common denominator of 31/5 and i?
40
Let o = 2/89 + -1177/890. Let c = 1585/6 - 2354/9. Calculate the common denominator of o and c.
90
Let f(s) = s. Let h be f(10). Let y = 11 - h. Let d(b) = 4*b + 2. What is the least common multiple of d(y) and 7?
42
Let a = -227900/3289 - -296407894/4357925. Let l = a + 4/1325. Calculate the common denominator of l and 85/(-9) + -3 + 4.
99
Let q(l) be the third derivative of 17*l**4/12 - 26*l**3/3 - 43*l**2. Calculate the least common multiple of 20 and q(5).
1180
Suppose 4*a - 50 = 5*f, 0 = -2*a + f + 32 - 10. Suppose x - 8 = -2*o, 5*o + 2*x + 3*x - a = 0. What is the least common multiple of 8 and o?
24
Calculate the lowest common multiple of (-2 - -1)/1 - (35 - 57) and 66.
462
Suppose -h = -0*h - 2036. Let j be 3 - (4 - -1) - (-8253)/4. Let k = h - j. Calculate the common denominator of k and -11.
4
Let j = -17103533/162 + 105577. What is the common denominator of 179/90 and j?
810
Let q(g) = -g**2 - 5*g + 2. Let c be q(3). Let x be (0 - -1)/(1/c). Calculate the common denominator of -7/10 and (x/5)/((-14)/7).
10
What is the common denominator of 89/8 and ((-6)/16*-2)/((-228)/323)?
16
Suppose -42 = -2*u + i, 4*u - 78 = -3*i - 4. What is the lowest common multiple of u and (5/(-40) - 34/(-16))/1?
20
Let h = 55 + -16. Let d = -17 + h. What is the smallest common multiple of d and 34?
374
Let w = -20095/24 - -838. Let i = 6723 + -161459/24. Calculate the common denominator of i and w.
24
Suppose k + 6 = 4*k. Suppose -13 = o - 5*t, -2*o - 4*t - 44 = -60. What is the lowest common multiple of k and o?
2
Let f be 3*(0 - (-3 - -2)). Let t = 1/9069 - 408116/99759. Calculate the common denominator of 738/(-154) - f/(-7) and t.
11
Let a(j) = -j**3 + 5*j**2 - j - 7. Suppose 0 = -0*q + 2*q. Suppose q*o + 2*o = 20. What is the lowest common multiple of o and a(3)?
40
Let l = -10788 + 409917/38. Calculate the common denominator of l and 38/5.
190
Let g = -146/45 + -68/9. Suppose 225 = 14*f - 19*f. What is the common denominator of 