i + 9. Let n be m(-6). Calculate the common denominator of -29/12 and (-4)/30 - n*8/18.
60
Let h(v) = v**2 + 15*v + 17. Calculate the smallest common multiple of 7 and h(-18).
497
Let c = 17302 + -795971/46. What is the common denominator of 43/3 and c?
138
Let m(t) = -34*t - 12. Let x be m(-6). Suppose -c = 0, 2*c - x = -3*p - 2*c. Calculate the least common multiple of 8 and (p/2)/(3 + -1).
16
Calculate the common denominator of 14/33 - (-22)/(704/(-24)) and 149/180.
1980
Calculate the common denominator of (29/44)/(-6*(-6)/144) and 1/45.
495
Let u = 761 - 701. Calculate the least common multiple of u and 120.
120
Let f = -980 + 1037. Calculate the smallest common multiple of 87 and f.
1653
Let r = 487/24 + -62/3. Let y = -249/40 - r. Find the common denominator of y and 57/16.
80
Let o = -2823415/667 + 4233. Let n = o - 44681/1334. Let w = 617/36 + 83/18. Calculate the common denominator of w and n.
4
Calculate the common denominator of 85/8 and ((-7)/54)/((-2)/(-51)).
72
Suppose 4*o = 3*t + 26, -4*o = 4*t - 3*o + 3. Let v = -1049 - -2155/2. Calculate the common denominator of (11 - 11) + 71*t/80 and v.
40
Suppose 0 = j - 4*j - 2*h + 109, 8 = j - 5*h. What is the lowest common multiple of 54 and j?
594
Suppose -l - 4*v + 0*v - 15 = 0, 4*v + 16 = 0. Suppose l + 1 = -m, 2*m = -5*p + 6. What is the lowest common multiple of 8 and p?
8
Suppose 38 = -2*u + 4*y, 74 = -4*u + y - 9. Let z = u + 27. What is the smallest common multiple of 33/9 - z/9 and 5?
15
Let g(o) = o**3 - 12*o**2 - 14*o + 16. Let v be g(13). Suppose -v*p + 43 + 35 = 0. Calculate the least common multiple of 14 and p.
182
What is the common denominator of 10/24 + (-4)/8 and (1 - 140/144)/((-9)/(-3537))?
12
Suppose -1108 = -2*c + 4*a, 0*c + 4*c - 2198 = -a. Suppose 5*g + 185 = -200. What is the smallest common multiple of 6 and 1/(-7) - c/g?
42
Suppose -61*a + 47*a = -56. Let m be (-2)/3 - (-12)/18. Suppose 2*p = -3*z - 2, 3*z + m = -5*p - 14. What is the least common multiple of a and z?
4
Let m(n) = n**2 + 12*n - 8. Let j be m(-12). Let l = j - -12. What is the smallest common multiple of l and (-7)/2*16/(-28)?
4
Let p = -31224584 + -2422661. Let m = p - -673187127/20. Let s = m + -12107. Calculate the common denominator of 125/12 and s.
60
What is the lowest common multiple of 122/14 + (-38)/(-133) and 25?
225
Let p = -275 + 244. Calculate the common denominator of -89/106 and p.
106
Suppose 5*k - r + 8 = 168, -160 = -5*k - r. Suppose -2*h - 4*t + 52 = -2*t, -2*t - k = -2*h. Calculate the smallest common multiple of 27 and h.
189
Let m = -3572/39 - -172171/1872. Find the common denominator of m and 109/42.
1008
Find the common denominator of (-140)/20 - -14 - 574/120 and 113/100.
300
Let i(o) = 6*o + 6. Let z be i(4). Let s = z - 33. Calculate the common denominator of -2*(s - (-6)/15) and 91/2.
10
What is the common denominator of 4 + -2*552/210 and -115/28?
140
Let c = 314/3657 - -14/159. Let x = -63/230 + c. What is the common denominator of x and (-154)/16*-1 + 1?
40
Let g(p) = -6 + 4*p - 1 + 4 + 15*p. What is the smallest common multiple of g(1) and 22?
176
Let v = -45 + 51. Suppose 2*s - v*s = -104. What is the smallest common multiple of s and 10?
130
Let i = -198 + 3587/18. Let a be 1622/(-12456)*(75 - 0). Let m = a + -26/173. What is the common denominator of m and i?
36
What is the least common multiple of 57 and 57/(9 - 264/32)?
228
Let q(s) = s**3 + 11*s**2 - 12*s - 5. Let u be q(-12). Let g = 15 - u. Find the common denominator of 107/14 and 2/5*(-185)/g.
70
What is the common denominator of ((-6)/(-96)*12)/(54/(-98)) and 39/40?
360
Let a be (-648)/(-16)*32/3. What is the least common multiple of 8 and ((-8)/3)/(4*(-9)/a)?
32
Let p be 1 + 34521/8 + 1. Let o = p - 4324. Calculate the common denominator of 16/36 + ((-34)/6732)/((-1)/686) and o.
88
Suppose 6468 = 51*o - 9*o. What is the least common multiple of 112 and o?
1232
Calculate the common denominator of -9 - (-7 - (-390)/(-96)) and ((-142)/8)/(18/(-8)).
144
Let t = 4667/3 + -5329/6. Let i = t + -10661/16. Find the common denominator of (7 + (4599/(-112))/9)*1 and i.
16
Let p = -43364 - -5160355/119. Let r be 835/(-15)*219/(-2380). Let z = p + r. Find the common denominator of 39/16 and z.
80
Let b = -16507 + 825293/50. Calculate the common denominator of 33/14 and b.
350
Let j be ((-3)/(-2372))/((-7)/(-28)). Let h = 9509/4151 - j. Calculate the common denominator of h and 145/6.
42
Calculate the common denominator of 11104/(-6720) - (-1)/(-3) and 39/10.
70
Let h = 145151/1425 + -2518/25. Find the common denominator of h and 4/(-18) + 372/(-756).
399
Let v = 1848543/88 + -21007. Calculate the common denominator of v and -43/440.
440
Let m = 1559 - 1514. Calculate the least common multiple of 40 and m.
360
What is the common denominator of (8 - 15/(-45))*(-5)/8 and -8/363?
2904
Let g = 10 - -1. What is the least common multiple of (-12)/36 + (-209)/(-33) and g?
66
Let f = -474 + 489. Let k(q) = -6*q - 1. Let i be k(-1). Let j = f - i. Calculate the least common multiple of 12 and j.
60
Let x = -21 - -5. Find the common denominator of (((-909)/x)/(-3))/((-27)/6) and 131/54.
216
Let q = -9673/176 + 652/11. Calculate the common denominator of 27/148 and q.
592
Suppose -3*p = -3*o + 215 - 50, -2*p = 3*o - 185. Let g = o - 31. Calculate the smallest common multiple of g and 10.
140
Let n = 100 + -53. Suppose 3*b - s = -2*s + 24, n = 5*b + 4*s. Calculate the common denominator of 63/(-81)*(-50)/b and -59/10.
90
Suppose -29*g = -32*g - 117. Calculate the common denominator of -19/4 and (g - 12)/(1*-22).
44
Let n(v) = -10*v - 4. Let j be n(-2). Let q = j + -8. Suppose 0 = -4*p + 4*z + 44, 0 + 8 = p - 4*z. What is the lowest common multiple of q and p?
24
Suppose 0 = -c - 0*c - 3*w - 18, -5*w - 62 = 3*c. Let d(p) = p**2 + 10*p + 3. What is the lowest common multiple of d(-11) and 3/(1/(c/(-9)))?
56
Let p = 348698/135 + -2583. What is the common denominator of -137/60 and p?
540
Let u = -114187/10980 - 1/2196. Let p = 16/87 + -773/261. Calculate the common denominator of p and u.
45
Suppose -9*c = -8*c - 3*s - 30, -3*s + 75 = 4*c. Suppose -5*i - 75 = -2*a, -3*i + 40 = 4*a - 71. Calculate the least common multiple of c and a.
210
Let f = 72 + -28. Calculate the least common multiple of 36 and f.
396
Let k = -27501/2 + 866227/63. Find the common denominator of k and -57/7.
126
Let o = 145 - 91. Calculate the smallest common multiple of -4*(-8)/(-96) - 20/(-6) and o.
54
Let s(a) = -3*a - 3. Let w(r) = 2*r + 46. Let v be w(-28). Let z(y) = y**2 + 7*y - 20. What is the smallest common multiple of z(v) and s(-3)?
30
Let b = -1/885 - 1345/177. Let u be (32 - 1) + (-3)/(-3). Let k = u - 33. Find the common denominator of b and k.
5
Let w = 75242172227/390 - 192928788. Let x = w + 1771/13. Calculate the common denominator of 83/18 and x.
90
Let t = 47405/1916 - -4/479. Find the common denominator of -43/235 and t.
940
Let k(l) = -l**3 - 12*l**2 - 2*l - 14. What is the least common multiple of 258 and k(-12)?
1290
Let c be -3 + 5232/1059 + -2. Let a = c + -22029/3530. Find the common denominator of a and -1 + (18/(-16))/1.
40
Suppose -25 = -35*y + 325. What is the smallest common multiple of y and -2 + ((-20)/1)/(-2)?
40
Let o = -88 + 112. What is the least common multiple of 88 and o?
264
Suppose -4*j - 701 = 5*u - 115, j + 346 = -3*u. Let h = -145 + 107. Calculate the common denominator of 14/(-4)*u/(-18) and h.
6
Let p = 253229/7 - 36296. Let x = p - -120. Calculate the common denominator of -30/7 and x.
7
Suppose 27*w - 29*w = -4. Suppose 0 = -5*a + 12 - w. Calculate the smallest common multiple of 5 and a.
10
Let c = -28523 + 1026935/36. What is the common denominator of -143/96 and c?
288
Suppose -6*j + 94 + 98 = 0. What is the lowest common multiple of j and 48?
96
Let v(x) = -2*x**3 - 2*x**2 - 4*x - 4. Let q be v(-3). Calculate the lowest common multiple of 18 and q/12 + 3/9.
36
Suppose 5*g - 2 = -7, 2*m = -4*g + 4. Let d = -3 + m. Suppose -a = -0*a - d. Calculate the smallest common multiple of a and 8.
8
Suppose 0 = -3*s - 1620 + 492. Let f = s - -1899/5. Calculate the common denominator of -29/8 and f.
40
Suppose -4*p - 5*k + 7 + 21 = 0, 5*p + 2*k - 52 = 0. What is the smallest common multiple of p and 196?
588
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