d = g + -4564. Calculate the common denominator of -57/35 and d.
385
Let i = -9 - 3. Calculate the common denominator of 4/(-6) + (-202)/i and 63/10.
30
Suppose 0 = -3*k - 17*t + 12*t + 23, -20 = -5*t. Calculate the least common multiple of k and 157.
157
Suppose q + 11 = m - 11, -5*q + 2*m = 104. Calculate the common denominator of 10/15 + (-238)/(-12) and 4/q*(-355)/2.
2
Let a = -415 + 440. What is the smallest common multiple of a and 90?
450
Let y = 10699/72 - 1346/9. What is the common denominator of -131/36 and y?
72
Let b(k) = -k + 1. Let n be b(-8). What is the lowest common multiple of 1 and (83/n - -1) + (-22)/99?
10
Suppose 0 = -3*g - 4*k + 178, 4*k + 5 = -3. Calculate the least common multiple of g and 2.
62
Calculate the common denominator of (-3 - 2)/(7/(-5)) and (10/(-30))/(4/(-102)).
14
Suppose 0 = 3*c - 3*i - 9, -i + 2*i - 5 = -c. Suppose 74 = 4*k + 66. Suppose k*f = 4*f - c. Calculate the least common multiple of 5 and f.
10
Let i(h) = h**3 - 6*h**2 - 6. Let z be i(5). Let l = z + 22. What is the common denominator of 2/5 and l?
5
Suppose 0 = d - 5*d + 2*m + 120, -4*d = -5*m - 120. What is the common denominator of 27/(-11)*(d/12 + -1) and (34/12)/((-2)/(-3))?
44
Let x = 9983/104 - 1386/13. Let y = -95903/252 + 2684/7. Calculate the common denominator of y and x.
72
Let v = 3/7 - -76/35. Suppose 5*m + 15 = 0, -4*h - 44 - 32 = -4*m. Calculate the common denominator of ((-2)/(-5))/((-1)/h) and v.
5
Let p(d) = 76*d**3 - 5*d**2 + 6*d - 26. Let u be p(4). Let i = -11055140797/2309382 + 48/128299. Let a = u + i. What is the common denominator of -85/14 and a?
126
Let b = -7 + -1. Let a = 12 + b. Suppose 2 - a = -h - 2*f, h = -5*f - 1. What is the smallest common multiple of h and 12?
12
Suppose -3*h = 16 - 4, -q - 14 = -2*h. Let d = q - -30. Let u(f) = -f**3 - 6*f**2 - 7*f - 4. Calculate the least common multiple of u(-5) and d.
24
Let v be (6 + -5)/(2/(-60)). Find the common denominator of -35/2 and ((-39)/v - 1)*250/(-4).
4
Let m = -71 + 170. What is the common denominator of -3*3/m*-53 and 41?
11
Let x = 68 - 48. Let r(k) = 5*k + 5. Let m be r(-7). Let z = m + 40. What is the smallest common multiple of x and z?
20
Let k = 472 + -454. What is the least common multiple of 72 and k?
72
Let p be (-5 - 0) + (-18)/(-2). Suppose -p*v - 42 = -7*v. What is the smallest common multiple of 20 and v?
140
Let w = 1 + -10. What is the smallest common multiple of w*6/(-2 - 1) and 40?
360
Let s = -880 + 1725/2. Let c = s + 187/6. Calculate the common denominator of c and -2 + (0 - (-321)/12).
12
What is the lowest common multiple of (0 + (-2 - -23))/(60/140) and 11?
539
Let r(f) = 8 + 8*f**2 + 5*f + f**3 + 16 - 12. Let z be r(-8). Find the common denominator of (15/(-8))/((-21)/z) and -73/8.
8
Let l = 101 + -69. What is the lowest common multiple of 12 and l?
96
What is the common denominator of 2/3 + 3686/(-3990) and -18/35?
35
Let h = -1773/5093 - 1/2778. What is the common denominator of h and -99/8?
264
What is the common denominator of 9/(45/2) + 1/(-135) and 31/99?
1485
Let u = 5/161 + 10777/322. Find the common denominator of 83/22 and u.
22
Suppose -6 - 211 = -7*p. Suppose 0 = -2*t + p + 9. What is the lowest common multiple of t and 18?
180
Let b = -1448/9009 - 10/77. What is the common denominator of b and 99/4?
468
Suppose 2000 = 43*v - 18*v. Calculate the lowest common multiple of v and 20.
80
Suppose -8*x + 76 = -7*x. Let h = x - 58. Calculate the least common multiple of 8 and h.
72
Let o = 8 - -2. What is the smallest common multiple of (9/3)/(9/12) and (-1 - -1) + o + -4?
12
Let g be (1/5)/((-4)/5). Let w = 2417/5820 - -2/1455. Let q = w + g. Find the common denominator of 29/2 and q.
6
Let q = 1357/592 + 131/74. Calculate the common denominator of q and -19/12.
48
Let j = 4 + 13. Let i = -9 + j. What is the least common multiple of i and 2?
8
Let z be (-2)/(-4) + (-290)/(-20). Suppose -5*m + 0*m = z. What is the least common multiple of 4 and (-9)/m*(-20)/(-6)?
20
Let w be 3*(-2 - -1) + -19 + 21. Calculate the smallest common multiple of w + 0 - 0 - -19 and 24.
72
Let x(z) = -28*z - 20. Let m be x(6). Calculate the common denominator of (-2)/10 - m/15 and -65/6.
6
Let k = 368 + -366. Suppose -f = 3*y + 2*y - 2, 5*y = 5*f - 70. What is the lowest common multiple of k and f?
12
Let n = 38 - 37. Suppose 5 = 3*w - n. What is the least common multiple of 22 and w?
22
Let p = 274 - 214. Calculate the lowest common multiple of 90 and p.
180
Let t = -341 + 623/2. What is the common denominator of (-5)/(-50)*-10*(-11)/6 and t?
6
Suppose -12*c = -121 + 49. Calculate the least common multiple of c and 4.
12
Suppose -3*h + 50 = 2*u, -5*u + 115 = -2*h + 9. Let j = u + -16. What is the smallest common multiple of 5 and j?
30
Calculate the least common multiple of 604 and (6 - -2)*(3 - 16/8).
1208
Suppose -43 = -a - 2*u - 37, u = -4*a + 24. Calculate the lowest common multiple of 662 and a.
1986
Suppose 5*i - 2*a - 114 = 0, -2*i + 3*a + 0*a + 39 = 0. Calculate the lowest common multiple of i and 24.
24
Let c = -85 + 173/2. Let k be 0 + 6558/2187 - 3. Let j = k - -41557/2916. What is the common denominator of c and j?
4
Let f = -126 - -150. Calculate the least common multiple of 6 and f.
24
Let w(n) = 14*n - 15. Let y be w(7). Suppose -9*i + 245 = y. Calculate the lowest common multiple of 46 and i.
414
Suppose -26 = -4*p + 18. Let y(h) = 33*h + 133. Calculate the lowest common multiple of p and y(-4).
11
Let w(j) = -j**2 + 5*j + 4. Suppose 0 = 4*f + f - 20. What is the lowest common multiple of -4 + (9 - f) + 11 and w(4)?
24
Suppose -3*a + 6 = 0, 0 = 4*l + 2*a - 323 - 109. Calculate the common denominator of -43/34 and (-3 + l/2)/(-2 - -3).
34
Suppose 0*l - 72 = -4*l. Let m = 151 - 64. Suppose 3*q = 2*c + c + 51, 5*q - 3*c = m. Calculate the smallest common multiple of q and l.
18
Calculate the common denominator of -99/26 and (78/63)/((-840)/98).
1170
Let q = -20 - -22. What is the smallest common multiple of -28*((-4)/7)/q and (-1)/(1 - (-10)/(-9))?
72
Suppose -a + 5*j - 36 = 26, 5*a - 4*j + 373 = 0. Calculate the common denominator of -31/6 and 1117/330 - 14/a.
30
Suppose -4*i + 9*s = 4*s - 15, -4*i - 3*s = -55. Let l be (398/(-4))/(i/(-35)). Let h = l + -351. Find the common denominator of h and -25/7.
28
Let s = -64 + 54. What is the smallest common multiple of -10 - -7 - (-1 + s) and 44?
88
Let x = 25571/12 - 2124. Let q = -2029/5 + 42517/65. Let j = 56401/234 - q. Calculate the common denominator of x and j.
36
Let j = -3/253 + 1831/5060. Find the common denominator of -43/10 and j.
20
What is the common denominator of (-1337)/336 + (-2)/6 and 19/20?
80
Suppose j = 6*j - 20. Suppose -3*k = -3*x + 12, k + 4*x = -j*k - 56. Find the common denominator of 63/8 and 126/(-16) - (-2)/k.
8
Calculate the common denominator of 1/90 and (((-2525)/(-6))/25)/(20/(-2)).
180
Let x = -10513/100 + 413/4. Find the common denominator of x and 1/8.
200
Let z = 133991/47898 + -1/887. Find the common denominator of z and 73/30.
270
Let s(d) = 4*d + 1. Let q(p) = 0*p**2 + 2*p - 6 + 9 + p**2. Calculate the smallest common multiple of s(2) and q(0).
9
Let b = 1711879/64449 - -82/5859. Let y = b - 76/11. Find the common denominator of y and (1/16*9)/(12/(-72)).
24
Let f = 1 + 2. Suppose -60 = -8*q + f*q. Calculate the lowest common multiple of q and 11.
132
Let h be 35/(-406) - (2 - 1). Let q = 1496/29 + h. Calculate the common denominator of q and -3*(-88)/18 + -4.
6
Let j(i) = -3*i + 14. Let v be j(6). Let o be 8 + 2/(v/6). Suppose o*p - 100 = -5*b, -2*b + 131 = 5*p + 31. What is the smallest common multiple of p and 16?
80
Suppose -47*n = -45*n - 288. Calculate the least common multiple of 180 and n.
720
Let g(b) = b**2 + 16*b - 60. Calculate the lowest common multiple of 175 and g(-21).
1575
Let w = -4 - -4. Suppose 6*c - c + 2*j - 14 = w, j + 3 = 0. Suppose 4*z - c*m - 64 = z, -79 = -4*z - m. What is the least common multiple of z and 14?
140
Let g = -78/47 + 2956/705. Find the common denominator of 76/33 and g.
165
Let h be 4*(-56)/(-2)*-2. Find the common denominator of -17/10 and (-40)/6*105/h.
40
Find the common denominator of 19/8 and -5*(303/36 - 6).
24
Let t = -6/17851 - -1946191/1285272. What is the common denominator of t and -73/18?
72
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