196. Let y = -8/769 - 7675/75362. Let u = y - v. Find the common denominator of -35/16 and u.
16
Find the common denominator of -121/10 and (-179)/20 - (-31 - -23).
20
Let k = 861 - 265. Calculate the smallest common multiple of 8 and k.
1192
Calculate the common denominator of 47/14 and (-16)/(-4) - -2 - (-24)/(-42).
14
Let r(l) be the first derivative of l**2/2 + 19*l - 18. Calculate the smallest common multiple of r(-11) and 8.
8
Let b = -97/85 + -9703/510. Calculate the common denominator of b and 32/21.
42
Let i(m) = 9*m**3 + 11*m**2 - 26*m + 2. Calculate the smallest common multiple of 54 and i(2).
594
What is the common denominator of 5/14 and ((-108)/248)/9 + 0?
434
Let h = 5 - 4. What is the lowest common multiple of (-10)/(-5) - (h + -7) and 11?
88
Let r(k) = -k**2 + 14*k - 43. What is the smallest common multiple of r(5) and 5?
10
Let y(n) = 28*n + 10. Let w be y(9). Find the common denominator of 91/44 and (-37)/(6/(-39) + w/13).
220
Let m = -7475723/132 + 56635. What is the common denominator of -85/24 and m?
264
Let o = -922/63 - -97/7. Find the common denominator of (46/(-32) - -2)*-5 and o.
144
What is the common denominator of 20332/32760 - (-6)/7 and 35/72?
360
Calculate the smallest common multiple of (1 + (-3 - 1))/(6/(-40)) and 2/((2/(-72))/((-72)/16)).
1620
Let c be 0 - (-1 + 6 + -7). Suppose 2*t = c*y + 72, 2*t - 3*y - 36 = 36. Suppose -80 = -3*z - 2*z. Calculate the smallest common multiple of t and z.
144
Suppose -5*n = -20*y + 19*y + 55, 0 = -3*n - 15. What is the least common multiple of y and 10?
30
Let k = 165 + -155. What is the least common multiple of 5 and k?
10
Suppose -2*h = -5 - 3. Let p(v) = -3*v + 4 + v + 5*v - 2*v. What is the least common multiple of h and p(8)?
12
Let d = 25136/11 - 2287. Calculate the common denominator of d and 7/489.
5379
Let j(s) = s**2 + 6*s + 12. Let x be j(-6). Suppose 16 = f + x. Calculate the least common multiple of f and 8.
8
Let g = 1642/1169 + 4/167. Calculate the common denominator of (7/(-3))/(82/(-30) + 2) and g.
77
Let z(t) = -7*t**3 + 6*t**2 - 3*t - 10. Let i(x) = -2*x**3 - x**2 - x. Let u(f) = 4*i(f) - z(f). What is the least common multiple of u(-10) and 16?
80
Let y be 1/3 - (-210)/18. Suppose 0 = 10*d - y*d + 24. Calculate the smallest common multiple of d and 21.
84
What is the common denominator of ((-303)/15)/((-20)/(-50)) and -43/18?
18
Suppose 2*x - m - 1377 = -0*m, 2*x + 5*m - 1359 = 0. Let k = x + -7531/11. What is the common denominator of k and (11*33/484)/(6/93)?
88
Suppose 260 = -4*h - 4*p, -8*h = -3*h - 2*p + 325. Let b = -58 - h. Calculate the lowest common multiple of b and 11.
77
Let p = 11155 - 111673/10. Find the common denominator of p and -29/18.
90
Let h be (-8)/2 - (1 + -2833). Let n = h - 28377/10. Calculate the common denominator of -107/12 and n.
60
Let f(v) = -2*v - 1. Let t(b) = -b**2 - 21*b + 13. Let u(m) = -4*f(m) + t(m). Let y = 25 - 15. Calculate the lowest common multiple of y and u(-10).
470
Suppose 0 = 4*q - 21 + 9. Let w be ((-14)/q)/((-10)/45). Suppose -3*n = -0*n - w. Calculate the lowest common multiple of n and 12.
84
Calculate the common denominator of (-1)/4 + 126/48*-2 and -85/38.
38
Suppose -h = -4*z + 29, 4*z = -3*h + 13 - 4. Calculate the lowest common multiple of ((-84)/24)/(42/(-456)) and z.
114
Let c = 26 + -40. Calculate the common denominator of 2/6 + (-32)/33 and (-12)/c*105/100.
110
Suppose 0*x = -5*k + 3*x + 10, -2*k + x + 4 = 0. What is the least common multiple of (-4 + 1)*-1 - k and 13?
13
Suppose -7*n = 1624 + 3087. Let z = 17519/26 + n. Find the common denominator of z and -27/10.
130
Let q = -2/721 - -2179/5768. Let a be (7/2)/(36/(-24)). Let o = -32/9 - a. Calculate the common denominator of o and q.
72
Let y(m) = m**2 - 22*m + 15. Let j be y(20). What is the least common multiple of (-740)/j + 4/10 and 15?
30
Suppose 0 = 6*s - 118 - 98. What is the least common multiple of s and 4?
36
What is the lowest common multiple of 72 and (-48 - -39)/(6/(-8))?
72
Suppose -4*j + 4*u - 138 = 2*u, -3*j - 116 = -4*u. Let p = j - -72. Find the common denominator of -53/18 and p/(-96) - (1 + -1).
36
Let r(m) = m**3 - 22*m**2 + 60. What is the smallest common multiple of r(22) and 60?
60
Suppose -l - u = -74, 268 = 4*l - 3*u - 0*u. Let f = l + -46. What is the least common multiple of 27 and f?
216
Suppose 360282 - 1655606 = -2*t. Let x = 3859169/6 - t. Let j = x + 4449. What is the common denominator of -65/2 and j?
6
Let h = -4447 + 97787/22. Suppose 2*m = 1190 - 204. Let t = -8963/18 + m. What is the common denominator of h and t?
198
Suppose 4*d = -16 + 72. Suppose 0 = -4*b + 5*v - 23, -b + 1 + 9 = 4*v. Calculate the smallest common multiple of d and (-2 + 3)/(b/(-16)).
56
Suppose j - 10 = -5. Find the common denominator of j/6*(-540)/200 - 2 and (1 + (-101)/12)*1.
12
Let z be (165/20)/((-6)/(-32)). Suppose 5*b - 5*x - 25 = 0, 4*b - 3*x - z = -5*x. Calculate the lowest common multiple of 6 and b.
18
What is the common denominator of (-116)/6 + -1 - -2 and 2 + (-363)/30 + 8?
30
Calculate the common denominator of 0 + 7 - 2406/432 and 67/81.
648
Let i be 1262/(-4) - -1*6/(-6). Let r = 4124/13 + i. What is the common denominator of r and 134/132 - (-4)/6?
286
Find the common denominator of (-2)/(-7) + 986/1904 and 17/4.
56
Let b = -92665 + 11119919/120. Calculate the common denominator of b and 137/60.
120
Let o be ((-64)/(-6))/((-2)/(-3)). Suppose 4*k - o - 32 = 0. Let i(y) = y**3 - 7*y**2 + 6*y + 2. What is the smallest common multiple of i(6) and k?
12
Let v = 2108/9 + -92977/396. Let w = -909/220 + v. Let l = 12/181 + 17123/1086. What is the common denominator of l and w?
30
Suppose -4*s - 5*s + 54 = 0. What is the common denominator of (-4494)/(-432) - (-2)/9 and 556/240 - s/15?
24
Let u be (-303)/15*(-4 - 1). Suppose -4*f + u = 21. Calculate the lowest common multiple of 16 and f.
80
Let p = -3340 - -26659/8. What is the common denominator of p and 41/20?
40
Let r(z) = 19*z + 2 - z**2 - 3*z - 5*z. Calculate the least common multiple of 12 and r(9).
60
Suppose -3*r + 132 = -5*r. Let v = 76377/16 - 4776. Calculate the common denominator of v and r/120 - (1 - 2).
80
Let t(s) = -11*s + 28. Let x be t(2). Suppose -x*u = u - 238. Calculate the least common multiple of 6 and u.
102
Suppose k = -0 - 5. What is the smallest common multiple of 8 and (14/5)/((-2)/k)?
56
Suppose 828 = -4*o - 3*q, 0*o - 1058 = 5*o - 2*q. What is the common denominator of 493/o - 2/10 and ((-18)/16)/((-3)/27)?
168
Let z(a) = 4*a + 3*a - 9*a - 46. What is the lowest common multiple of 12 and z(-25)?
12
Suppose -18 - 12 = 3*f. What is the common denominator of (-2)/10 - 198/(-20) and 2 + 1 + 139/f?
10
Let x = -20789/14 - -1482. Let h = -41/2 - -29. Calculate the common denominator of h and x.
14
Let l = 2422/1163 + -2097717/179102. Let y = 69/7 + l. What is the common denominator of -71/6 and y?
66
Let b(n) = -n + 24. Let g be b(14). What is the common denominator of g/(-4)*(-7 - 2) and -49/15?
30
Let s = 1277/5 - 4813/20. Find the common denominator of s and -49/16.
16
Calculate the common denominator of -97/6 and ((-34)/1105)/(1 + 163/(-155)).
156
Let q(d) = d**2 + 21*d + 1. Let m be q(-21). Calculate the common denominator of -7/2 and (70/(-25) + 3)*49/m.
10
Suppose -3 + 43 = 5*k. Let t(h) = 2*h - 12. What is the least common multiple of t(k) and (1 + -6)/(-7 - -6)?
20
Suppose -2*k - 4*f = 202, f - 4*f - 206 = 2*k. Let h = -69 - k. Calculate the smallest common multiple of 16 and h.
80
Let f(j) = 3*j**3 - j + 1. Let u = 15 - -46. Let p = -56 + u. Calculate the least common multiple of f(1) and p.
15
Let x = 1601 - 1535. What is the least common multiple of x and 222?
2442
Let b be (-187)/(-204)*164*1. Let j = 763/6 - b. What is the common denominator of -43/16 and j?
48
Suppose -2*i - 12 = -0*i - 3*q, q = -5*i - 13. Find the common denominator of ((-11)/132)/(i/(-82)) and (-24)/(-7) + 2/4.
126
Let u be 182/(-56)*(-8)/(-2). Let k = -3 - u. What is the smallest common multiple of 11 and k?
110
Let s(h) be the first derivative of -h**3/3 - 5*h**2/2 + 14*h - 13. What is the smallest common multiple of 16 and s(-6)?
16
Let f = -230248126 - -284586654401/1236. Let w = -5/309 + f. Find the common denominator of w and 2461/(-552)*4/3.
36
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