, -3*c - 3*u = -42. Calculate the smallest common multiple of c and 7.
14
Let y = -20786/9 + 2314. Find the common denominator of 74/207 and y.
207
Let a = -2900648 - -127004872661/43785. Let n = a + 15006214543/963270. Let c = 15575 - n. Calculate the common denominator of -121/18 and c.
198
Let l = -23/10237901 + 7901458424366/481181347. Let k = l - 16420. Find the common denominator of k and 103/6.
282
Let l be 2 + -2 - (6 + -9). Suppose -2*a = -l*j - 7*a + 17, -4*a = -j. Suppose -f = 0, f = -r - j*f + 20. What is the lowest common multiple of 46 and r?
460
Let g be (-1856)/668*(-48)/9. Let i = -3483615/334 + 10430. Let k = g + i. What is the common denominator of k and 15/2?
6
Let z(a) = -a**2 + 13*a - 15. Suppose -55 = -8*s - 3*s. What is the lowest common multiple of z(11) and s?
35
Let l = 58/39 + 1661/273. Let o = l - 283/42. Let i = -349331/40504 - 2/5063. What is the common denominator of o and i?
24
Suppose 7*l + 61 - 229 = 0. Let a(h) = 18 - 25*h - l*h - 19. Calculate the lowest common multiple of 16 and a(-1).
48
Suppose 0 = v - 3*o + 2 - 4, 2*v = 2*o + 4. Suppose 5*w + v*w = 0. Suppose -5*x - 2 + 152 = w. Find the common denominator of x and 4/5.
5
Let w = 7 - -2. Suppose 10*b = w*b + 4. Suppose 10*k - 5*k = 50. What is the lowest common multiple of k and b?
20
Suppose f = 4*f + 468. Calculate the common denominator of ((-1)/6)/(20/f) and 15/6*2/(40/(-23)).
40
Suppose -24 = 2*x + 6. Let u(f) = f**2 + 16*f + 21. Let r be u(x). Suppose 4*g - 8 = -4*a, 2*g - 4*a - r = 28. Calculate the least common multiple of g and 10.
70
Let n = 47 - 31. Let m(y) = 2*y**2 + 2*y + 1. What is the least common multiple of m(-1) and (n + 0 - 2)/2?
7
Find the common denominator of ((-5)/300)/(7/(-1274)) and 59/4.
60
Let z be 2/(-10) + (-16)/(-5). What is the common denominator of 290/(-8)*(-3)/15 and (-129)/12 + z/12?
4
Suppose -x + w + 14 = 0, -4*x - 3*w = -34 - 8. Calculate the smallest common multiple of x and 714.
1428
Let r(i) = 4*i**2 + 22*i - 21. Suppose 0 = -o + 4*h + 31, 2*o + 4*h + 0*h = 2. Calculate the least common multiple of o and r(1).
55
Suppose 4*n = 5*s + 2*n + 248, -5*s - 5*n - 220 = 0. Let u(k) = k**3 - 8*k**2 + 2*k - 12. Calculate the smallest common multiple of (s/(-15))/(10/25) and u(8).
8
Suppose 4*t - i - 80 = 0, i = -5*t + 58 + 42. What is the smallest common multiple of t and 16?
80
Let w be ((-16)/(-5))/2*(-140)/28. Calculate the smallest common multiple of 11 and (-4)/8 - (3 + 92/w).
88
Let s(g) = -12*g - 2. Let t be s(-5). Suppose 4*f = -3*n + n + 52, 5*f - n = t. What is the least common multiple of 15/(-2 + 3) - 3 and f?
12
Let p = 4047751/72 + -56217. Find the common denominator of -43/9 and p.
72
Let z(d) = d**3 - d. What is the lowest common multiple of (-10)/(((-39)/(-12) - 3) + (-99)/132) and z(2)?
60
Let a be (-1025916)/(-8) + 3/(-2). Let g = 18209881/142 - a. What is the common denominator of g and 41/18?
1278
Suppose 15*q - 13 = 2. Calculate the least common multiple of 5 and q.
5
Suppose 3*r - a = 27, -4*a + 16 - 4 = 0. Calculate the lowest common multiple of 55 and r.
110
Let w = 19 - 17. Let y be (-4)/18 + 70/(-90). What is the common denominator of w/y - (-1)/(-10) and -65/9?
90
Let g = -30 - -39. Suppose -g = 7*a - 37. What is the lowest common multiple of a and 7?
28
Let p = 4 + -2. Let b = -25 - -22. Let g(s) = -s**3 - 3*s**2 - 6*s - 2. What is the least common multiple of p and g(b)?
16
Let r(j) = 2*j**3 + 27*j**2 - 16*j - 7. Calculate the smallest common multiple of 18 and r(-14).
126
Let r(o) = o**3 - 2*o**2 + 3*o + 4. Let n(a) = a**2 - 10*a + 12. Let w be n(9). Suppose 0 = 2*c - 2 - 16. What is the smallest common multiple of r(w) and c?
198
Suppose 0 = -2*m + 6*m + 1232. Let i = -3 + m. Let a = i - -1237/4. Find the common denominator of a and -97/6.
12
Suppose -53*i + 18 = -47*i. Calculate the lowest common multiple of 6 and i.
6
Let u = -40/97 + -2339/679. Suppose 6217 = 4*q - v, -2*v + 7*v - 7790 = -5*q. Let b = q - 6185/4. Find the common denominator of b and u.
28
Let v = 17 - 11. Let c(g) = -g**3 - 55. Let l be c(0). Calculate the smallest common multiple of v and 10/l + (-138)/(-33).
12
Let o(u) = 201835*u**3 + u**2 + 2*u + 1. Let b be o(-1). Let z = 36329983/180 + b. Let i = z + 8/45. What is the common denominator of 57/20 and i?
60
Let p(l) = l**2 - 10*l - 7. Let y be p(9). What is the common denominator of (-1)/5 - (-3)/((-9)/y) and -109/24?
120
Let u be (-3)/(-257)*(-16)/24. Let q = 6409/2056 - u. What is the common denominator of 77/8 and q?
8
Let c(g) = -g + 1. Let m be c(-7). Suppose 3*j = 4*b - 9, m*b - 7*b - 31 = -5*j. Calculate the smallest common multiple of b and 67.
402
Let w = -120829/12 - -10062. Find the common denominator of 71/8 and w.
24
Calculate the common denominator of -68/105 and (507/540)/13 - (-54)/90.
1260
Suppose y = 3*b + 4 + 1, y - b = 3. Suppose -y*l + i = -12, -6*i + 2*i = 3*l + 4. What is the lowest common multiple of 5 and l?
20
Suppose -3*d = 3*b - 5 - 1, -3*d = 6. Suppose -9*w + b*w = -75. Suppose w = -8*g - 57. What is the common denominator of 93/2 and g?
2
Suppose j - 4*q = -16, -6*j + 2*j + 5*q = 20. Suppose j = 8*d - 179 + 19. What is the smallest common multiple of 20 and d?
20
Let a = 1 - -18. Find the common denominator of (61/3 - 0)/3 - 1 and a.
9
Let l = -90 - -100. What is the smallest common multiple of 40 and l?
40
Let o = -203234/22835 + 1/9134. What is the common denominator of -23/50 and o?
50
Let m(n) = n**2 + n - 1. Let j(f) = -f**2 - 14*f - 12. Let t(b) = j(b) + 2*m(b). Calculate the least common multiple of 18 and t(14).
126
Suppose -4*l - c - 3*c + 252 = 0, 4*l - 252 = -5*c. Calculate the smallest common multiple of 33 and l.
693
Let y = 3/206 - 171/1133. Calculate the common denominator of -83/20 and y.
220
Let l = 7 + -4. Suppose 0 = -d - l*k + 5*k - 1, -k - 3 = 0. Let r = 16 + d. What is the least common multiple of r and 5?
45
Let f(x) be the third derivative of x**4/12 + 2*x**3/3 - 6*x**2. Let a be 2/6*42/2. What is the least common multiple of f(a) and 16?
144
What is the common denominator of (480/4600)/(228/(-200)) and -99/46?
874
Suppose -4*m + 4 = -8*m. Let d = 21491/6 + -3597. Find the common denominator of -4 + m/(-18)*161 and d.
18
Let t = 705/2 + -337. Find the common denominator of 3 + ((-2)/(-12) - 6234/1656) and t.
92
Let p(f) = -5*f + 43. Let b be p(-13). Suppose -b + 36 = -4*v. Calculate the lowest common multiple of v and 4.
36
Let i = 30 - 205. Find the common denominator of -13/8 and i/42*(-27)/24.
16
Let s be (-20)/1*(-1524)/(-15). Let g = 3263 + s. Let u = g - 12187/10. Find the common denominator of u and -74/3.
30
Suppose 12 = 6*g - 4*g. Let y = 10 + -4. Suppose 4*o - y*o = -8. Calculate the smallest common multiple of g and o.
12
Suppose 0 = -4*w + 60 + 36. Suppose -84 = -3*l - w. Suppose -n - 3*u + 12 = 0, -12 = -5*u - 2. What is the lowest common multiple of l and n?
60
Let j = 6 + 901. Let c = -8137/9 + j. Calculate the common denominator of 33/2 and c.
18
Let z = 563/5 - 4819/40. What is the common denominator of -3 - (-102)/(-32) - -4 and z?
16
Suppose 7*z - 9 = 12. Suppose 0*c + 5*c - 85 = 5*q, -5*c + z*q = -87. What is the least common multiple of c and 24?
72
What is the common denominator of 2/(-6)*(1 + 105/4) and 241/36 + 4/16?
36
What is the common denominator of ((-201)/9 - 4)/(110/33) and -93/422?
2110
Let g(u) = -u**2 + 7*u + 64. Calculate the least common multiple of g(11) and 338.
3380
Let b = -1781/259 + 5/259. Suppose 4*u - 16 = 2*a - u, 0 = 5*a - 5*u + 40. Calculate the common denominator of 14/21*606/a and b.
14
Let z = -101 - -101. Suppose z = 9*r + 3*r - 228. Calculate the lowest common multiple of 10 and r.
190
Find the common denominator of (-10 + (-1074)/(-108))*(-158)/33 and -109/270.
2970
Suppose -b + 1 + 1 = 0. Let z = 38 - 26. Calculate the smallest common multiple of z and b.
12
Suppose -2*c + 19 - 55 = -2*l, -3*c - 50 = -l. What is the common denominator of 7 + -2 + 5/((-150)/805) and c?
6
Suppose t + a - 146 = 0, 3*t + 539 = 7*t - 5*a. Calculate the smallest common multiple of 51 and t.
2397
Let r = -23481 + 7654747/326. Find the common denominator of -101/10 and r.
1630
Let d be 102076/19548 - (-3 - -3). Let r = d + 2/4887. Find the common denominator of 23/6 and r.
18
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