65. Calculate the common denominator of g and -25/112.
560
Let b = -897/28 + 1013/42. Find the common denominator of -85/208 and b.
624
Let k(o) = -o + 14. Calculate the smallest common multiple of 53 and k(12).
106
Let l be 2/6*0 - 0. Suppose l = -2*u - u - 780. Find the common denominator of 65/8 and (-2)/8*u/(-4).
8
Let m(u) = u**2 - 5 + 3*u + 16*u - u - 8*u. What is the least common multiple of 20 and m(-11)?
60
Let t(a) = 3*a**2 - 8 - 7*a + 21*a + 11 + 0. What is the lowest common multiple of t(-6) and 21?
189
Let n = -2249/228 + -23/76. Let q = 2809/1332 + 1/444. Calculate the common denominator of n and q.
18
What is the common denominator of (-6164)/690*(-3)/4 and (-54)/(-65) + (-4)/(-10)?
130
Let b = -34 - -62. What is the smallest common multiple of 38 and b?
532
Let k = -1 + -2. Let h be 4/8*14 + k. Suppose -3*n + 3*t = 3, h - 11 = 4*n - 5*t. What is the lowest common multiple of n and 10?
10
Let r be (-40)/(-2 + -2)*6/4. Let u(x) = x**3 - 14*x**2 - 13*x - 17. What is the smallest common multiple of u(r) and 11?
143
Let g(a) = 11*a**3 + 11*a**2 - 8. Let o be g(9). Let c = o + -124571/14. What is the common denominator of (56/(-25) - -3)/((-22)/55) and c?
70
Suppose -4*c + c = -42. What is the common denominator of 2/7*((-16)/7)/(41/(-287)) and (-2)/5 - c/5?
35
Find the common denominator of 26/349 and (1/3)/((-9)/477).
1047
Let q = -2543/132 + 292/33. Let n = 4653 - 74519/16. Find the common denominator of n and q.
48
Let l = 6/47 - 676/141. Calculate the common denominator of l and -85/2.
6
Let b(p) = -p - 9. Let w be b(-4). Let v be (-1)/w - 221110/(-200). Let d = v - 1111. Calculate the common denominator of d and -65/2.
4
Let i = 29/13 - 2463/1040. What is the common denominator of i and 41/9?
720
What is the common denominator of 5 + (-3942)/225 + 11 and -38/275?
275
Calculate the common denominator of 65/22 and ((-1)/2)/(-39*(-10)/(-2910)).
286
Suppose 120 = 5*g + 5*n, -4*g + 116 = 5*n - 6*n. Calculate the lowest common multiple of 100 and g.
700
Let o = -716 - -743. Calculate the lowest common multiple of o and 207.
621
Let y(z) = -z**3 - 5*z**2 - 5*z + 3. What is the lowest common multiple of 108 and y(-2)?
108
Suppose -12*i = -33 - 51. Let l(g) = g**3 - 6*g**2 + 2*g - 9. What is the smallest common multiple of l(6) and i?
21
Let o = 5 + -3. Suppose o*c + 13 = 45. Find the common denominator of -43/14 and (-132)/c*9/60.
560
Let w = 12 + -12. Suppose 0 = -3*i - 12, 5*n = -w*n - 4*i - 1. Suppose -2*j + 0*m - n*m = -32, -j - 5*m = -30. What is the lowest common multiple of 7 and j?
70
Let a(q) = -q**2 + 32*q - 194. Calculate the least common multiple of a(18) and 232.
232
Let v(x) = -2*x**3 - 3*x - 4. Let z be v(-1). What is the common denominator of (322/10 + z)/(16/10) and -27/26?
52
Find the common denominator of -23/81 and 212/(-585) + 10 + 196/(-20).
1053
Let t = 707/102 - 69/68. Suppose -2*f + 3*l + 19 = 0, f + 0*l = -3*l + 5. What is the common denominator of 6/9*(-134)/f and t?
12
Let x(p) = 9*p - 24. Let y be x(-4). Let b = y - -72. Suppose 15 + 25 = 2*j. What is the smallest common multiple of j and b?
60
Let x be (-2)/5 - 517610292/270. Let b = x + 1914814. Let z = -2264 - b. Find the common denominator of z and -31/6.
18
Calculate the common denominator of -24/5 and 14445/15066 - 4/18.
930
Let q(a) = 8*a + 4. Let n be q(-7). What is the common denominator of (-6)/8*(-35)/42 + -2 and n/(-9)*(-2)/(-4)?
72
What is the common denominator of ((-24)/(-66))/((-2)/(-27)) and ((-2)/(-12))/((-6)/208)?
99
Let v(h) = 9*h + 3. Let q be v(-1). Let w be (-2 + (-1 - -2))*-4. Let b = w - q. Calculate the smallest common multiple of b and 3.
30
Find the common denominator of -6 + -39*(0 + 5/(-20)) and -93/52.
52
Let t = -40/13 + 1319/416. Calculate the common denominator of t and -61/88.
352
Let n = -10035 - -10047. Let g = 28 + -10. Calculate the lowest common multiple of g and n.
36
Suppose -2*c = -6*v + 5*v - 1849, 0 = -2*v + 2. Let i = 4591/5 - c. Find the common denominator of i and -4/3.
15
Suppose 13 = -10*a - 17. Calculate the common denominator of ((-14)/(-6))/(-11 - a) and 89/24.
24
Let h be 273/3012 + 1/(-4). Let a = h - -27839/3012. Let j = 2257/414 + -96/23. Calculate the common denominator of j and a.
36
Suppose -5*y = 9 - 19. Calculate the smallest common multiple of 90 and y.
90
Suppose 0 = 15*o - 8*o - 56. Calculate the lowest common multiple of 24 and o.
24
Let i = 210 - 114. Suppose -18*c + 14*c = -i. Calculate the lowest common multiple of 15 and c.
120
Calculate the common denominator of 5/49 and (12/(-18) + (-312)/(-441))*-4.
49
Let c(o) = 13*o + 15. Let r be c(-4). Calculate the common denominator of 1/(-2)*r*1/(-2) and (129 - -2)/((-12)/2).
12
What is the smallest common multiple of ((-176)/(-10))/((-2)/(-110)*11) and 52?
1144
Let a be (-18)/(-4) - (-10)/(-20). What is the least common multiple of ((-5)/(-5))/(((-2)/a)/(-1)) and 18?
18
Let r be (-260)/(-70) - (-4)/14. Let o(g) = 2*g**2 - 4*g + 6. Calculate the lowest common multiple of 18 and o(r).
198
Let r(a) = 3*a + 20. Suppose 0 = 3*f + 18. Calculate the smallest common multiple of 16 and r(f).
16
Let u(a) = -a - 11. Suppose -5*v = -w + 64, 3*v + 0*v = w - 38. What is the least common multiple of 22 and u(v)?
22
Let b = -5 + 7. What is the common denominator of 48/(-7) + (-1)/b and (-111)/24 - 8/(3 - 1)?
56
Let j(n) = -10*n - 263. What is the smallest common multiple of 306 and j(-28)?
306
Suppose -2*t - 3 = 7, 0 = 5*c + 2*t. Find the common denominator of (-1425)/38 - c/2 and -85/8.
8
Suppose u = 3*i - 3*u - 8, 5 = 2*i - 3*u. Find the common denominator of -47/20 and i/((-18)/8 + 1).
20
Let h(g) = g**3 - 13*g**2 - 4*g + 12. Let f be h(13). Calculate the common denominator of 4/9 and 530/f*(-4)/6.
18
Let g = 56 + -48. What is the smallest common multiple of 210 and g?
840
Let m(w) = -2*w**2 - 26*w + 92. Calculate the least common multiple of m(-15) and (-6)/(-8) + 1/4.
32
Let a = 102 + -104. What is the smallest common multiple of 42 and 3*8 + ((-20)/5 - a)?
462
Let j = -184630/21 - -8788. Find the common denominator of j and 143/84.
84
Calculate the common denominator of (-1)/(-10)*290/4 and -1*(1 + 3) + (1278/360)/1.
20
Let j = -448 - -478. What is the smallest common multiple of j and 14?
210
Suppose -k = 3*k - 4. Let h = 7/136 - -1121/680. What is the common denominator of h and k/((-18)/110 + 0)?
90
What is the least common multiple of 88/5 - 56/(-140) and 10?
90
What is the least common multiple of 193/1 - (6 - 9) and 28?
196
Suppose 8*n - 3 + 19 = 0. What is the lowest common multiple of 6 and n/(-4) + (-752)/(-32)?
24
Let t(c) = 3*c**2 + 2*c + 5. Calculate the lowest common multiple of t(-5) and 10.
70
Let y = -83066 - -11213986/135. Calculate the common denominator of y and -73/30.
270
Let k(z) = -142*z - 6. Let r(x) = -x**3 + 5*x**2 - 4*x + 3. Let u be r(4). Let o be k(u). What is the lowest common multiple of 2/5 + o/(-20) and 14?
154
Suppose c - 40 = 5*c. Let n(r) = r**3 + 13*r**2 + 4*r - 16. Let d be n(-12). Calculate the lowest common multiple of 16 and 239/8 - c/d.
240
Let v = -3/2291 + 2613/4582. Find the common denominator of -73/28 and v.
812
Let f = 3111/665 - 170/133. Let y be 1 - ((-15018)/14 + -1). Let j = y + -1077. Find the common denominator of j and f.
35
Suppose k - 14 = -8. Calculate the lowest common multiple of k and 4.
12
Let k = 2/100307 - -15747803/19860786. What is the common denominator of k and -31/4?
396
Suppose -4*p + 4 = 0, -3*n = 14*p - 18*p + 88. Let r be ((-2679)/18)/((-39)/2). Let c = r - 118/13. Find the common denominator of n and c.
9
Let h(s) = -13*s**2 - 5*s + 2. Let t be h(-4). Find the common denominator of 0 + t/45 - 0 and 3/4.
60
Let x(o) = -96*o**3 - 3*o**2 + 4*o. Let s be x(3). Let b = 7897/3 + s. Find the common denominator of b and -41/18.
18
Let u be ((-4)/6)/(-3 + (-1587)/(-531)). Let g = -37 + u. What is the smallest common multiple of ((-1)/2)/(1/(-12)) and g?
66
Let x be (2/1 - 0)*1771/14. Let t = -2537/10 + x. What is the common denominator of -61/56 and t?
280
Suppose q - 2*q + 13 = 4*r, 11 = 3*r + 2*q. Let a(p) = -5*p + p + 11 + 3*p + r*p. Calculate the smallest common multiple of 2 and a(0).
22
Let n(m) = -m**3 + m**2 + 34*m - 22. What is the least common multiple of 205 and n(6)?
410
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