-15) and -7/18.
90
Let b be (-144)/(-92)*1064/(-42). Let h be (-19413)/(-460) + (1 - 0). Let m = b + h. Find the common denominator of -23/2 and m.
20
Let i = 1 + 3. Suppose -2*u = 4*c + 6, -3*u - 9 = 4*c - i. What is the lowest common multiple of 4 and ((-2)/(-2) - -2) + c?
4
Find the common denominator of (-3)/84*178 + 1 + 2 and -49/316.
2212
Let c = 86 - -211. What is the lowest common multiple of c and 81?
891
Suppose 6 = 2*i, 5*r - i + 196 = i. Find the common denominator of (1/((-4)/6))/(54/r) and -113/18.
18
Suppose 4*n = 2*g + 26, -3*n + 0*n + 3*g + 24 = 0. Suppose -3*p = n*p - 32. What is the least common multiple of p and 43?
172
Let j = 914651/30 - 30493. Let c(k) = -k - 24. Let z be c(-25). What is the common denominator of 1197/(-77)*z/(-6) and j?
330
Let a = 4 + -2. Suppose 3*q + a*n - 35 = 0, -2*q - 5*n + 2 = -4*q. Calculate the smallest common multiple of q and 6.
18
Let d be 264/(-74) + 2 - -2. Let p = 7045/16206 - d. Let c = -8903/1314 - p. Find the common denominator of c and -107/10.
90
Let u = 12/163 - 9013/652. Let f = 1075/78 - -96/13. Find the common denominator of u and f.
12
Suppose 0 = -2*t, -5*t + 2*t + 30 = -2*j. Let y = j + 16. What is the least common multiple of y and 5?
5
Let p(n) = n**3 + 5*n**2 + 3*n. Let i = 35 - 38. What is the least common multiple of 21 and p(i)?
63
Suppose -3*i - 3*y - 70158 = 0, -y = -3*y. Let o be i/(-1440) + (-4)/(-18). Let h = -3/80 - o. Calculate the common denominator of h and -93/20.
20
Suppose q - g - 36 = -4*q, 3*q + 5*g - 16 = 0. Suppose 0 = 5*u - 4*y - 82 - 10, -2*u = y - 42. What is the least common multiple of u and q?
140
Let x(a) = -a - 10 + 2*a + 0*a + 1. Let y be x(-4). Let r = 18 + y. What is the lowest common multiple of r and 14?
70
Let m = -189/52 - -5/13. Calculate the common denominator of m and -121/10.
20
Suppose -2*u = -8*u + 24. Let b be u/(-10) - 21781/1410. Let x = b - 62/47. What is the common denominator of -10/13 and x?
78
Find the common denominator of -47/3 and ((-3)/(-20))/((-2178)/7535).
264
Let l = -4/560173 + -25767397795/4481384. Let s = l - -5757. Find the common denominator of 23/8 and s.
8
Let s = -4197 - -58801/14. Calculate the common denominator of s and (-2)/(-5) - (-5316)/1080*3.
42
Suppose 2*x - 14 = -2*p, -2*p + 11 = 5*x - 3*p. Suppose 4*o - x = 9. Suppose o*c + 3 = 0, 4*m = -m - c + 99. What is the least common multiple of 16 and m?
80
Suppose -116 = -4*m - 4*c, 0*m + 3*m + c - 77 = 0. What is the lowest common multiple of 108 and m?
216
What is the common denominator of 8 + (-2 - 3) - (-107)/(-36) and 49/12?
36
Let j be (-9)/(9/(-4)) - 12. Calculate the common denominator of 170/j - (-40)/(-10) and -101/22.
44
Let c(w) = w**3 + 4*w**2 - 3*w + 12. What is the smallest common multiple of c(-5) and 10?
10
What is the common denominator of 85/24 and 60/(-150) + (-2)/((-720)/796)?
360
Suppose 2*q + 729 = -4*o - 1249, 5*o + 2480 = -4*q. Find the common denominator of (-12)/(-4) + -1*o/(-99) and -43/33.
33
Let p be 2591/4 + -2 - (-3 - -2). Let t be 1322*(5/2 - 3). Let q = t + p. What is the common denominator of -19/11 and q?
44
Let z = -74879/22035 - -427/130. What is the common denominator of -4/3 and z?
678
Suppose -3*w + 11 = 4*y, 0*w = w - 5*y + 9. Let a be 0 - (-12)/(2 - -2). Suppose -8*r + a*r = -25. Calculate the least common multiple of w and r.
5
Let n be (-12)/(-1) + 0 - 3. Let i = -29 + n. Find the common denominator of 52/10*20/36 and i.
9
Find the common denominator of 26/189 and (-59)/(-59) - ((-327)/(-135) - 1).
945
Let y = -4491323/80052 + 6964/953. Let x = 278/7 + y. Find the common denominator of -143/18 and x.
36
Let s = -2/969 - -2693/646. Find the common denominator of -76/63 and s.
126
Suppose 18 = -p - 2*p. Let n(t) = 2*t**2 + 11*t + 14. Let w be n(p). Let m = 30 - w. Calculate the least common multiple of m and 1.
10
Let b = 9321/8 + -1160. Let g be (851635/20)/(62991/(-6)). Let y = g - -1/2333. What is the common denominator of b and y?
72
Let f = -5646 - -101591/18. Find the common denominator of f and (-3)/132*1256/12.
198
Let b be 3 - (-20)/(-4) - -23576. Let i = b + -565883/24. Find the common denominator of -71/24 and i.
24
Suppose -5*c + 121 = 91. Calculate the smallest common multiple of c and 18.
18
Let d = -123897885/16 + 7746222. Let c = d + -2605. Find the common denominator of c and 10/11.
176
Suppose -n - 125 + 26 = 0. Let j = -713/4 + 179. Calculate the common denominator of j and 312/n + 2/6.
44
Suppose 2*z - 2*q = 52 + 8, -z + 3*q = -30. What is the least common multiple of 42 and z?
210
Let v(k) be the first derivative of -8*k**3 + 11*k**2/2 - 2*k - 2. Let z be v(-5). Calculate the common denominator of -19/4 and 6/27*z/12.
12
Suppose -3*r - j - 3*j + 44 = 0, -5*r + 70 = 5*j. Let z be (342/8)/((-3)/r). Find the common denominator of -5/2 and (2/(-6))/((-6)/z).
2
Calculate the smallest common multiple of 5*((-4)/(-14))/((-12)/(-42)) and 25.
25
Let j = -1715/4 + 25571/60. Suppose 8 = n - 2*d, -n + 3*d + 4 = -d. What is the common denominator of j and 6/n*(-106)/(-2)?
30
Let b(o) = o + 11. Let h be b(-8). Suppose -h*w + 8*w = 20. Calculate the smallest common multiple of 16 and w.
16
Suppose 5*q - 84 = -h + 114, 3*h - 87 = -2*q. What is the smallest common multiple of 33 and q?
429
Calculate the common denominator of 372/(-64)*5/25 and -109/104.
1040
Suppose -34*b = -21*b - 390. What is the least common multiple of 40 and b?
120
Let u = -6 + 2. Suppose a - 4*c - 32 = 0, 31 = 2*a - 2*c + 5*c. What is the common denominator of -53/2 and u + (-2 - (-74)/a)?
10
Suppose 4*d + 2*h - 16 = 4, 5*d - h - 32 = 0. Calculate the smallest common multiple of d and (2 - -5) + (0 - -2).
18
Suppose 20*j = 17*j + 8466. Let h = -28339/10 + j. Find the common denominator of h and -11/3.
30
Calculate the lowest common multiple of 65 and (3/(-4))/((-36)/96).
130
Let j = 1758 + -21239/12. What is the common denominator of -21/22 and j?
132
Let z = -369 - -481. Calculate the least common multiple of 12 and z.
336
Calculate the smallest common multiple of 60 and (10/(-80)*-28)/((-1)/(-6)).
420
Calculate the common denominator of -115/24 and 2153/(-704) - (-3 + 30)/(-9).
2112
Let b = 253/10 - 27. Calculate the common denominator of -9/202 and b.
1010
Let v = -1289/14 + 417/7. Find the common denominator of -17/14 and v.
14
Let f = -163/6 - -242/9. Let i = 202/17 + -4705/34. Let c = -153 - i. What is the common denominator of c and f?
18
Let d = 2/3069 - 6268/199485. Let b = d - 5493/1040. Let f = -2/14797 - -1198661/769444. What is the common denominator of b and f?
208
Let o(z) = 6*z**2 - 1. Let j(n) = n**2 + 14*n + 13. Let b be j(-15). Let k be 6/27 + b/36. Calculate the lowest common multiple of 1 and o(k).
5
Suppose 5*a = 11*m - 10*m + 31, -2*a = -m - 13. Calculate the lowest common multiple of 30 and a.
30
Let v(f) = 2*f**2 + 10*f - 1. Let r be v(-10). Calculate the common denominator of 15/r*(-12)/8 and -87/10.
110
Let u(n) = n**3 - 7*n + 7*n + 2 - n + 4*n**2. What is the least common multiple of u(-4) and 33?
66
Let c be 1/2 - 238/284. Let x be (-1*(-6)/(-213))/(81/35451). Let m = x + c. What is the common denominator of 63/5 and m?
15
Let y be 42/56 + (-42)/(-8). What is the common denominator of (4/(-6))/((-28)/318) and (11 - y)*(-8 + 1)?
7
Calculate the common denominator of 2/32*(-10272)/120 and 495/(-144) + (-1 - 0).
80
Let u = -3 + 3. Suppose u*q = -5*q - 5, -2*o + q = -47. Let k = -5 + o. Calculate the smallest common multiple of k and 4.
36
Let y = 7/3 - -49/12. Let x = -100 + 84. Calculate the common denominator of y and (x/(-128))/(4/66).
48
Let i = 308/93 + -5599/558. What is the common denominator of 103/118 and i?
1062
What is the lowest common multiple of 24 and (-656)/(-22) + 84/462?
120
Let i = 4746 + -94811/20. Let t(z) = 15*z - 2. Let v be t(-7). What is the common denominator of -2 - (-5)/((-80)/v) and i?
80
Suppose 0 = -55*s + 60*s - 30. Let b(l) = -l + 1. Let x be (-1*5 - 2) + -2. What is the lowest common multiple of s and b(x)?
30
Find the common denominator of 27/7 and 1*(-90)/(-192)*12.
56
Let u be (-102858)/(-8) + 1/(-4). Let j = u - 22422607/1744. Let r = j + -115979/5232. What is the common denominator of r and 13/8?
24
What is the common denominator of 163/396 and 5/30 + 618/(-1980)?
1980
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