 + 0. Let c = k + -695. Calculate the common denominator of -69/148 and c.
1036
Let o = -45679/120 - -4531/12. Find the common denominator of o and -79/80.
80
Suppose -c + k + 2 = 0, 3*c + 4*k + 11 = 52. Let t = c + 1. What is the smallest common multiple of 4 and t?
8
Suppose 5*j + 0*j + 5*h - 35 = 0, 3*h = 5*j - 59. What is the least common multiple of j and 62?
310
Let n be (-4 - (-2 + 8682))/(-2585). Let j be (68/(-20) + 3)/(-94). Let a = n + j. What is the common denominator of -38 and a?
11
Let h(i) = -2*i**3 - 6*i**2 + 2*i + 1. Let q be h(-4). Suppose 0 = 2*o - q + 7. What is the least common multiple of o and 30?
90
Suppose -2*z + 10 = -0. Let c be 1368/(-32) - (-3)/4. Let s = 51 + c. What is the smallest common multiple of z and s?
45
Suppose b - 21 = -5*u + 4, -4*u = 2*b - 26. Suppose 55 = 5*i - b*l, -4*i - 4*l = -41 - 3. Calculate the smallest common multiple of i and 7.
77
Let l = -720451 - -376075309/522. Find the common denominator of l and 23/54.
1566
Let k = -22 + 44. What is the smallest common multiple of 4 and 216/k + 4/22?
20
Let j = 2/87 + 8605/348. Let k = j + -25. Suppose 0 = -2*s + 4*p - 30, -20 = 2*s + 4*p + 10. Find the common denominator of k and s.
4
Let f = -3/463 + 33823/3704. What is the common denominator of f and ((-40)/36)/(1/(15/20))?
24
Let r = -11154 - -156237/14. Find the common denominator of r and 25/(-12) - 3/12.
42
Let f = -84 - -78. What is the smallest common multiple of 150/(-5)*2/f and 22?
110
Let u(x) = 1981008*x - 2. Let r be u(1). Let d = r - 206022343/104. Let b = 420/13 - d. What is the common denominator of -149/18 and b?
72
What is the least common multiple of 320 and 11 + -6 + -2 + (1 - -92)?
960
Suppose 4*h = -4*r - 128, -3*r - 68 = -h - 3*h. Suppose 5*m = 11 + 9. Find the common denominator of 19/4 and (59/m)/((-63)/r).
36
Find the common denominator of (325/(-135) - -2)/((-8)/(-84)) and -79/60.
180
Let t = -4048387021076/3843 + 1053444442. Let g = 1/7686 + t. Calculate the common denominator of -73/12 and g.
84
Let g = -7 + 11. Suppose 40 = g*y - 2*y. Let u(d) = d**2 - 28*d - 521. What is the least common multiple of u(41) and y?
60
Let h(p) = -2*p**2 + 18*p - 21. Calculate the smallest common multiple of 6 and h(6).
30
Suppose r - 2*k - 54 = 2, 0 = 5*r + 5*k - 355. What is the lowest common multiple of 30 and r?
330
Let s = 244657556/21 - 11654193. Let z = 3834 + s. Find the common denominator of z and -37/12.
84
Suppose 3164*v - 3169*v + 90 = 0. What is the least common multiple of 42 and v?
126
Let s be 1 + -2 + 0/2. Let c(n) = -19*n**3 - n**2 + n + 1. Let z(x) = -x + 9. What is the lowest common multiple of c(s) and z(-9)?
18
Find the common denominator of 109/6 and -3 - ((-2)/6 - (-3059)/(-414)).
18
Let v be 2514/(-21) - (-2)/(-7). Calculate the smallest common multiple of ((-192)/v)/(2/5) and 10.
20
Let j = -706079/3141 - 1080/349. Let u = j + 231. Find the common denominator of -41/6 and u.
18
Let v(g) be the second derivative of g**3/2 + g**2 - g. Suppose 38*q + 126 = 354. What is the lowest common multiple of v(2) and q?
24
What is the common denominator of 19/44 and (1668/198 + -9)*6/28?
308
Let m(r) = r**2 - r - 2. Let u be m(3). Suppose -6 = -p + 3*p - 3*i, 4*p - 28 = -u*i. What is the common denominator of (-23)/p + (-2 - -1) and -23/2?
6
Let i be (72/60)/(3/5). Suppose 55 = 5*z + 4*f - 11, i*z + 5*f = 23. What is the least common multiple of 18 and z?
126
Suppose 0 = -5*u - 4*r + 2*r + 13, -4*u - 4 = -2*r. What is the least common multiple of 12 and (27/81)/(u/90)?
60
Let s be 19 + 6/((-30)/25). Suppose -i + s*i = 234. What is the lowest common multiple of 14 and i?
126
Suppose -2*p + 3*q - 160 = -4*p, 4*q = -16. Let n = -62 + p. What is the least common multiple of 14 and n?
168
Let n = -3/242 + -2234/363. Let m = -84/137 + -3367/2329. Let i = m - -1249/136. Find the common denominator of n and i.
24
Suppose 2*x + 17 - 181 = 4*a, -3*a + 4*x = 128. Let z = 45 + a. What is the smallest common multiple of z and 4?
20
Let f = -8647509/70 - -123533. Let c = -267/35 - f. Calculate the common denominator of c and -39/70.
70
Suppose -2*u - 12 = -16. What is the common denominator of 81/4 and u + (-554)/52 + (-22)/(-143)?
4
Suppose -2 = d - 3. Let v be 4 - 156/(-16) - 1/(-4). Suppose 6*p - v = -p. What is the smallest common multiple of p and d?
2
Let m = 15 + -15. Suppose m = 3*b + 4*j - 14, 2*b + 2 - 12 = -2*j. What is the least common multiple of b and 3?
6
Let y(r) = -r**3 - 8*r**2 + 2*r + 2. Suppose -f + 48 = -7*f. Let h be y(f). Let x = h + 23. What is the least common multiple of 4 and x?
36
Let g = -101/19 + 1586/209. What is the common denominator of 119/18 and g?
198
Let f = -4/21 + -653/210. Suppose -5*z = -r - 0*r + 31, 4*r + 44 = -4*z. What is the common denominator of (z/(-84))/((-3)/(-82)) - -2 and f?
90
Suppose 5*w - 198 = -568. Let y = w + -250. What is the common denominator of (3/(-18))/((-32)/y) and 53/2?
16
Let z = -6415/14 + 453. Let h(b) = -24*b. Let a be h(-3). What is the common denominator of z and 802/a + 8/(-36)?
84
Let q = 27 - 21. Let b(g) = 2*g + 1. Let f be b(q). What is the smallest common multiple of 1*f + (15 - 16) and 20?
60
Let r(w) = 2*w**3 - 10*w**2 + w. What is the smallest common multiple of 120 and r(5)?
120
Suppose -7 - 1 = x. What is the common denominator of (3*10)/((-56)/(-70)) and 4/x*(-106)/(-5)?
10
Let s be ((-14)/(-49))/(2/28). Suppose -s*o - 776 = -3*r, 4*o + 73 = -r + 337. What is the smallest common multiple of 20 and r?
260
Let v = -137 - -146. Let n be (-3)/(-2)*(-1 + 23). Suppose 0*u - 3*u = -n. Calculate the least common multiple of v and u.
99
Suppose 12*l + 447 - 1311 = 0. What is the lowest common multiple of l and 72?
72
Let f be (6 - (-1 + 2))*-1. Let l = f + 7. Find the common denominator of 77/16 and l/(-4)*(-137)/(-3).
48
Let d = 185 - 169. Calculate the lowest common multiple of d and 54.
432
Suppose 2*f - 44 - 20 = 0. Suppose 3*l - f - 22 = 0. Calculate the smallest common multiple of 33 and l.
198
Let p = 525/13 - 17962/429. What is the common denominator of p and 101/18?
198
Let y = -227342/81 - -2807. What is the common denominator of y and -50/3?
81
Let n = 1147 + -1140. What is the smallest common multiple of n and 1361?
9527
Let j = -3601 - -50347/14. Let w = -332323/12 + 27700. Find the common denominator of w and j.
84
Let f be 10*((-24)/10 + 2). Let h = 2 - f. What is the smallest common multiple of (-16 + 2 + 4)*-1 and h?
30
Suppose -62*i + 3291 = -2289. What is the least common multiple of 22 and i?
990
Suppose -k + 5*k = 0. Let x be k/(-5) - (-1 - -1). Suppose 3*q + x = 24. What is the lowest common multiple of 10 and q?
40
Let n = -1121 + 1187. What is the least common multiple of n and 110?
330
Let m(g) = 2*g**3 + 4*g**2 + 3. Let y be m(-2). Suppose 25 = 5*w, 5*w + 18 = -y*d + 67. Calculate the least common multiple of 2 and d.
8
Let f be 181/2 + ((-28)/8 - -3). What is the common denominator of (-133)/(-2)*3*5/f and 33/34?
204
Suppose -5*i = -8 - 17. Suppose -3*z + 44 + 16 = 0. What is the smallest common multiple of z and 18/2 + -8 + i?
60
Let v = -20 + 75. Suppose 7*j - 12*j + v = 0. What is the lowest common multiple of j and 4?
44
Let u(d) = d**2 - 11*d + 1. Let h be u(7). Calculate the smallest common multiple of 24 and 2/(-3 - 84/h).
72
What is the smallest common multiple of 196 and 8612/28 + (-69)/(-161)?
2156
Let t be 3/(-6)*(-8 + 4). Suppose 0 = -t*q + 2*p + 14, -2 = -4*q - 5*p + 8. What is the smallest common multiple of q and 8?
40
Suppose -5 = -t - 4*t + 2*f, -22 = t - 5*f. Calculate the common denominator of 119/6 and -14*3*t/36.
6
Let x be 2 - -145 - (2*-1 - -2). Let b = 2353/16 - x. Find the common denominator of -109/14 and b.
112
Let s(b) = -18*b**2 + 9*b - 2. Let k be s(6). Let m = k + 1819/3. Calculate the common denominator of m and 35/1 - (3 - 6).
3
Find the common denominator of -125/6 and (75 - 73)*(-46)/(-264).
66
What is the common denominator of -49/144 and (3 + (-117)/42)*(-213)/(-18)?
1008
Find the common denominator of (5 + (-235)/50)*(-166)/6 and 2/(-4) - (-2)/8.
20
Suppose -n + 5*q - 4*q = -4473, -n - 4*q + 4453 = 0. Let g = -178821/40 + n. What is the common denominator of g and 13/55?
440
Let d = -460 + 462. What is the least common multiple of 214 and d?
214
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