/(-6678) + (-6)/(-21). Let y = t + 7141/3339. What is the common denominator of 650/(-13)*1/(-9) and y?
63
Let p = -378 - -798. What is the smallest common multiple of p and 77?
4620
Let i = -6 + 9. Suppose k = i*k. Suppose 7*p - 3*p - 56 = k. What is the least common multiple of 18 and p?
126
Let m = 145621/109 - 1336. Let x = -3143/654 + m. Calculate the common denominator of x and ((-2130)/(-315))/((-10)/3 - -2).
42
Suppose 12*q = 2299 - 379. Suppose q*p - 64 = 156*p. Calculate the common denominator of -55/9 and p.
9
Let q = 5562044/1176637 - -465/19943. Let c = q + 4/59. Let v = c + -133/55. Find the common denominator of 41/2 and v.
10
Let j = 1/4103 - 180539/28721. Calculate the common denominator of j and 44/7.
7
Let l(j) = j**3 + 18*j**2 - 19*j + 3. Let p be l(-19). Calculate the lowest common multiple of 3 - (-1 - 11) - p and 4.
12
Let h(v) = v + 11. Suppose 8 = 2*p + 2*w, -5*w - 1 = p - 21. Suppose -q + p = 4. Calculate the lowest common multiple of h(q) and 1.
7
Let o = -247067/49 + 5042. Find the common denominator of -21/8 and o.
392
Let r be 82*(-520)/352*(-4)/(-5). Let n = 112226847/44 + -2550498. Let z = n + r. Find the common denominator of z and -8.
4
Calculate the common denominator of (-53)/22 - (63/(-7) + 7) and 15/2.
22
Let b = 189 - 179. Let y = -4 + 9. Calculate the smallest common multiple of y and b.
10
Let f be (9 + -10)/(1*-1). Suppose -j + 3*j = -5*d + f, 2*j - 10 = -2*d. Suppose -4*c + 11 = -5. What is the smallest common multiple of j and c?
8
Let c be (2/4)/(30/208572). Let h = 625181/180 - c. Calculate the common denominator of h and -89/16.
144
Calculate the common denominator of -81/22 and ((-2)/45)/(76/5035).
198
Calculate the common denominator of 77/12 and (1752/36)/(6504/9).
3252
Let t be (4 - (2 + -6))/1. Let o be t*(-2)/((-8)/(-3)). Calculate the smallest common multiple of 34 and ((-56)/o)/(6/9).
238
Let t = 13 + -8. Suppose t*n + 5*j - 35 = -0*n, 2*j = -2. Let l = -6 + 18. Calculate the lowest common multiple of n and l.
24
Let n be 0 - 2 - (-16)/(-2). Let k = -2570189/42 - -61198. Find the common denominator of k and 4/(-10) - 51/n.
210
Let i(a) = a**2 - 3 + 2 + 1. Let d be i(1). Calculate the common denominator of -19/2 and (-2)/d + 55/(-9).
18
Find the common denominator of 103/224 and ((-201)/(-8))/(476/(-8) + 7).
1120
Let y = 236 + -218. Calculate the lowest common multiple of 45 and y.
90
Let z be (-9)/(-15) - (-297)/5. Let j be ((-10)/z)/((-274)/(-176)). Let u = j + -32939/3288. What is the common denominator of 23/6 and u?
24
Suppose -5*d - 82 = 3*v, -5*d + 15 = -v + 1. What is the common denominator of 161/v - (6 + -9) and -53/3?
24
Let t(u) = u**3 + 13*u**2 + u + 3. Let z(k) = -2*k**3 - 25*k**2 - 2*k - 5. Let x(y) = 5*t(y) + 3*z(y). Calculate the lowest common multiple of 18 and x(-10).
90
Suppose -5*i = -8*a + 3*a - 15, 5*a = 2*i + 6. Suppose 0 = 2*l - i*l. Suppose l*p + 12 = p. Calculate the lowest common multiple of 16 and p.
48
Let c = -7767815/252 - -30825. Calculate the common denominator of c and -101/20.
1260
What is the common denominator of (-14)/120 + 46/(-69) and -92/45?
180
Let i = -108953841/20 - -5438307. Suppose 128*j - 130*j + 18766 = 0. Let r = i + j. Calculate the common denominator of -93/14 and r.
140
Let f = -165877/12 - -13815. Suppose -2*o + 3*o - 18 = -2*c, 0 = -c + 4. Calculate the common denominator of f and (-178)/(-100)*o/(-4).
60
Suppose 2 = 4*k - 4*h + 6, -k - h = -7. Let s be -1 + k - 15611/10. Let c = s - -1556. What is the common denominator of 29/5 and c?
10
Let v(p) = 39*p**2 - 7. Let f(h) = -40*h**2 + 6. Let m(b) = 6*f(b) + 5*v(b). Let s be m(-1). What is the smallest common multiple of (-41)/(-4) - 33/s and 6?
66
Let j = -16 - -24. Let c = j + 3. What is the least common multiple of 3 and c?
33
Calculate the common denominator of 105/26 and (-385)/(-22)*(-2)/(-38).
494
Let a(f) = -f - 6. Let h be a(-6). Let b(r) = 6*r - 4. Calculate the lowest common multiple of -3*(28/(-6) + h) and b(4).
140
What is the common denominator of -61/63 and ((10/(-6))/(-5))/((-42)/116)?
63
Let s be 501/28 + 1 + 1. Let g = 22/7 - s. Calculate the common denominator of g and 33/4.
4
Let z = -52/271 - -27245/2168. What is the common denominator of 6/(-16)*(-122)/(-6) and z?
8
Let a be -4 + 242266/22 + -2. Let k = a - 675231/77. Let n = 31209/14 - k. Find the common denominator of n and -61/22.
154
Let w(z) = z**3 - 3*z**2 + 5*z - 11. Let g be w(3). Suppose -3*i - n + 39 = -g*n, 2*i - n = 27. What is the smallest common multiple of 3 and i?
42
Let o(p) = -3*p - 4. Let c be o(-2). Calculate the common denominator of -83/48 and (12/(-40))/(c + 79/(-38)).
240
Let m = 27 + 7. Let q be -2*-1*(-5)/8095. Let c = 56649/12952 - q. Calculate the common denominator of c and m.
8
Let w = 28 - 15. Suppose -j + 39 = w. Calculate the smallest common multiple of 22 and j.
286
Let s(j) = -153*j**3 - j**2 + 2. Calculate the least common multiple of 2 and s(-1).
154
Let z(l) = -648*l + 12. Let q be z(3). What is the common denominator of -23/9 and ((-1)/4)/((-63)/q)?
9
Find the common denominator of 93/28 and ((-8)/(3136/1099))/((-3)/(-2)).
84
Let q be -1 + 15/9 - 448/(-33). Let u = q - 52/33. Calculate the common denominator of u and 182/5*3/12.
30
Suppose 0 = 3*r - 18 - 0. Let a = 27 + -23. What is the lowest common multiple of a and r?
12
Let g(d) = d**3 + 9*d**2 - 9*d + 7. Let j be g(-10). What is the common denominator of (j - 0/(-3))*(-74)/9 and -69/10?
30
Let s = 1234211/42 + -29388. Let k = -8018/33 - -243. Calculate the common denominator of s and k.
462
Let p = -9 - -5. Let y be 66 + ((-36)/(-3))/p. Calculate the common denominator of -91/2 and (y/12)/(15/(-12)).
10
Let k(n) = n**2 - 8*n + 4. Let i be k(8). Suppose 0 = 4*c - 3*x - 70, 3*x - 18 = -i*c + 40. What is the lowest common multiple of 12 and c?
48
Let f be 10/((-1 + 0)*-2). Suppose f*x - 34 = 66. What is the smallest common multiple of 14 and x?
140
Let y be 10/3*9/6. Let p = -114 - -399/4. What is the common denominator of (-1)/y + 146/(-30) and p?
60
Let i = -4 + 19. Suppose 6 = -0*y + 2*y. Calculate the least common multiple of i and y.
15
Calculate the smallest common multiple of 20 and (-1 + 1 + -30)*30/(-20).
180
Let f = 27/2 + -13. Suppose -3*m - 381 = -1419. Let a = m + -3419/10. Find the common denominator of a and f.
10
Let c = 1403754379707/4994 + -281088184. Let t = c + 3/227. What is the common denominator of -13/22 and t?
22
Let i be (6/(-1))/((-6)/4). Suppose -3*g - f + 66 = -0*f, 0 = -5*g + i*f + 110. Calculate the lowest common multiple of g and (-10 + 2)*4*4/(-8).
176
Calculate the common denominator of -95/48 and (3/24)/(-3*5/355).
48
Let f(w) be the first derivative of 4 - 1/3*w**3 - 3*w**2 - w. What is the least common multiple of 6 and f(-3)?
24
Let z(o) = 31*o**2 + 2*o + 9. Let j be z(-6). Let g = 4848 + -106571/22. Find the common denominator of g and j/18*(-2)/(-14).
66
Let l = 6/577 - -35107/8655. What is the common denominator of l and (2/(-4))/((-8)/(-34))?
120
Let y(a) = -6*a + 3*a + 6*a + a**2 + 11 + 13*a. Let t be y(-15). Let g = 1 - t. Calculate the smallest common multiple of g and 9.
45
Let b = 29 + -28. Let g(q) = -q**3 - 4*q**2 + 7*q + 6. Let c be g(-5). Calculate the lowest common multiple of b and (-3 - c)/(2/20).
10
Let r = -1/919 - -72615/12866. Find the common denominator of r and (146/60)/(45/(-75)).
126
Suppose -4*g = -b - 12, 3*g = -3*b + 8 + 1. What is the lowest common multiple of 4 and 6 - b*3/(-6)?
12
Suppose -3*g = -2*p + 10, -p + g = -g - 4. Let h(b) = -2*b**2 + 17*b. Let v be h(p). What is the least common multiple of 6/v - 13/(-4) and 10?
20
Suppose u - m = -u + 38, -4*u = 5*m - 90. Suppose -235*g + 1585 = -765. Calculate the smallest common multiple of g and u.
20
Let n be 31643/(-7)*(-49797)/(-48). Let v = n + 4689622. Let i = -507/16 - v. What is the common denominator of -46 and i?
7
Suppose 0*j = -5*j - 10. Calculate the common denominator of -2/5 and 1*(-30)/j - 0.
5
Calculate the lowest common multiple of (226/678)/((-1)/(-522) - 0) and 162.
4698
Suppose 1 + 3 = -4*a + 4*z, -5*a - 14 = 4*z. Let y(g) = -9 - g + 7 + 5 + 2*g. Calculate the least common multiple of 6 and y(a).
6
Let h = 290 - 447. Let v = h - -173. What is the least common multiple of v and 22?
176
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