
Let i be 2/(-159)*(-6)/(-4). Let l = -479/106 - i. Let j = -59789/10632 - 2/1329. Calculate the common denominator of j and l.
8
Let k(z) = -z**3 + z**2 - z + 2. Let b be k(2). Suppose 0 = 4*q - 4*l + 16, -3*l - 3 = q + q. What is the least common multiple of 16 and (-31)/b + q/(-12)?
16
Let f = -328/25 + 1817/350. Calculate the common denominator of f and (-31)/6*6/(-16).
112
Suppose 0 = -5*u + 3*d - 29, 0*u + 8 = -2*u + 3*d. Let j = -3 - u. Calculate the lowest common multiple of j and 8.
8
Let t = 2441 + -53627/22. Let p = 56636/2955 + 1/1970. Calculate the common denominator of p and t.
66
Let q = 536 - 2155/4. What is the common denominator of q and -39/8?
8
Let w = 9 - 6. What is the smallest common multiple of (-8)/12*12/(-2) and w?
12
Let n(m) = -m - 4. Calculate the least common multiple of 1 and n(-10).
6
Suppose u - 28 = -3*a + a, 4*u - 64 = 4*a. Calculate the smallest common multiple of u and 12.
60
Let x(z) = -17*z**3 - 2*z + 1. Let d be x(1). Calculate the common denominator of 21/20 and (-1605)/d*9/210.
140
Let x(c) = -3*c**3 + 2*c**3 - c - 5*c**2 + 2*c**2 + 4. Let z = 57 - 60. Calculate the smallest common multiple of x(z) and 7.
7
Let s = 652 - 6541/10. Find the common denominator of 57/4 and s.
20
Let t = -70 + 29. Calculate the common denominator of (-490)/(-24) + (-5)/(-20) and t/(-3) + (-1)/(-2).
6
Let t = -4883/10 - -487. Calculate the common denominator of t and -65/2.
10
Let h be -1*2 + (-99)/1. Let z = -2861 - -34271/12. Find the common denominator of 2/(-3) - h/6 and z.
12
Let q = -4516 - -27037/6. Find the common denominator of q and -45/14.
42
Let m = -1 + 3. Let g be (m - 1) + 0 + 0. Calculate the least common multiple of -3*(-5 - (-1)/g) and 8.
24
Let o = 3 + 0. What is the smallest common multiple of 20 and -1 + (o - 5) + 21?
180
Suppose 7*d - 90 = 2*d. Suppose -5*t + d + 242 = 4*q, -q = 4*t - 208. Suppose -j - 7 = -i - 0*i, -4*j + t = 4*i. What is the lowest common multiple of 4 and i?
20
Let q(z) = -4*z - 2. Let x(n) = -n**3 + 4. Let b be x(0). Suppose -2*k - 8 = b*g, -2*g = 3*k + 3 + 1. What is the lowest common multiple of q(g) and 1?
6
Let n be (24/15)/(7/35). Let s(m) be the first derivative of m**3/3 - 7*m**2/2 - m + 1. Calculate the smallest common multiple of 3 and s(n).
21
Let n be 16/6 + 6/(-9). Suppose 0 = a + 3*g - n*g, 0 = -2*g - 8. Suppose 5*o - 45 = -4*d, a*d - 3*o = 2*d - 5. What is the least common multiple of 1 and d?
5
Suppose 2*m - 4 + 6 = 0. Let o = 804 + -6397/8. Calculate the common denominator of m + 0 + (-124)/(-48) and o.
24
Let p be 8/2 - (2 - 3). Suppose 0 = p*v - 2*v + 4563. Let b = v - -3109/2. What is the common denominator of 119/10 and b?
10
Let d = -13083 + 130711/10. Calculate the common denominator of d and -16/7.
70
Let g(r) = r**2 + 6*r + 4. Let y be g(-5). What is the common denominator of -1 + -2*(-83)/8 and 1 + y + 93/(-15)?
20
Let i(k) = k**3 + 7*k**2 + 9*k + 17. Calculate the least common multiple of i(-5) and 14.
154
Suppose 5*w + 6 = -4, 5*p = -2*w + 96. What is the least common multiple of p and 22?
220
Let s be 2/5*(-20)/2. Let j(g) = g**2 - 16*g + 15. Let n be j(15). Let w = n - s. Calculate the smallest common multiple of w and 1.
4
Let p = -15 - -20. Suppose 79 = p*c - 31. What is the smallest common multiple of 6 and c?
66
Let b = 35 + -23. Calculate the smallest common multiple of b and 2.
12
Let n(j) = j**3 + 6*j**2 + j + 4. Let s be n(-6). What is the common denominator of 61/6 and ((-9)/s)/(6/29)?
12
Let d be (-2)/(-13) - (-1442)/(-754). Let o = 773/522 + d. What is the common denominator of o and -13/2?
18
Let u be ((-4265)/(-2))/((-4)/8). Let p = u - -34029/8. Calculate the common denominator of 85/(-18) + 1/2 and p.
72
Let m be ((-9)/3)/(-3) + 1. Suppose -2*d + 0*d + m = 0. What is the common denominator of -69/16 and 21/(-9) - d/2?
48
Calculate the common denominator of 25/2 and -2 + 2 + -1 - 48/28.
14
Let d be (28 - 0)*6/3. Calculate the common denominator of (-6 + 1)*4/d and 73/12.
84
Suppose 4*y + 4 = 2*y. Let c be (10/4)/(y/(-4)). Suppose -5*u + 20 = c*i, -3*u + 3*i + 2 = -4*u. What is the least common multiple of 3 and u?
21
Let r be (-22)/(1 - (-2)/(-3)). Let v be (2 - -1) + r/(-42). Let b = 65/14 - v. Calculate the common denominator of -77/8 and b.
56
Let k = -78 - -88. What is the least common multiple of 158 and k?
790
Let m = -10 - -1. Calculate the common denominator of 58/5 and m/6*32/33.
55
What is the common denominator of 574/(-60) - (-3)/18 and 93/14?
70
Find the common denominator of (1 - 201/(-6))*(-2)/6 and (-4)/(-15)*(-5)/(-2).
6
Suppose f + 8 = 5*x, 0 = -4*x + 4 + 8. Suppose -4*b + 15 = 5*l, -4*b + 12 = l - f. Suppose 2*z - b = z. What is the least common multiple of 11 and z?
55
Let d = 385 + -125. Suppose -j + m + 101 = -3*j, 5*j = -5*m - d. Suppose 0 = -0*h - 5*h + 15, 0 = -4*n + 2*h + 166. Calculate the common denominator of j and n.
1
Let u be (-2)/((-4)/(-13))*-2. Suppose 19 = 4*a - u. Calculate the least common multiple of 4 and a.
8
Let z = 1792/5 + -369. Let a = -2 - -18. Calculate the common denominator of z and a.
5
Let y(x) = 3*x**2 - 4*x - 5. Let t be y(4). Suppose h + 2*h - t = 0. Calculate the least common multiple of 6 and h.
18
Let f(q) = q**3 + 7*q**2 - 3*q - 3. Suppose -4*s = -5*j - 0 + 3, 1 = -3*s + 4*j. What is the smallest common multiple of f(s) and 6?
18
Let l(q) = -q**3 + 4*q**2 + 6*q. Let s be l(5). Suppose -s*r + 5 = -0. Calculate the common denominator of 89/22 and 55/18 - 1/r.
198
Let c = -7 - -13. Let l(v) = -v**2 - 21*v - 26. What is the least common multiple of c and l(-19)?
12
Let h = -2559/380 - -13/19. Let k(g) = -10*g**3 - 8*g. Let b be k(-6). Let v = -26477/12 + b. Find the common denominator of v and h.
60
Let f(x) = x**3 + 7*x**2 + x + 10. Let i be f(-7). Suppose -v = i*v - 88. Calculate the smallest common multiple of v and 12.
132
Let o = 11 + -8. Suppose -o = -3*b + 6. Calculate the smallest common multiple of (-2)/(-7) + (-54)/(-7) and b.
24
Suppose 0 = -104*l + 109*l - 40. What is the smallest common multiple of l and 14?
56
Let y = -9 + 15. Suppose -c + 5 = -0*c. What is the smallest common multiple of c and y?
30
Let x(u) = 2*u**2 - 9*u + 2. What is the lowest common multiple of 22 and x(6)?
220
Let i = 43 - 13. Suppose -29 = -4*s - 5. Calculate the lowest common multiple of i and s.
30
Let a = 51 - 47. What is the smallest common multiple of 9 and a?
36
What is the lowest common multiple of 18 and ((-3)/9)/((-2)/2)*9?
18
Let j = -1325 - -13291/10. Calculate the common denominator of -74/9 and j.
90
Let f = -197/34 - -3937/612. What is the common denominator of -3/11 and f?
396
Suppose z + z = 0. Suppose z = x + 4*x - 30. What is the least common multiple of x and 10?
30
Let o(p) = p**3 + 3*p**2 - 3*p - 4. Let s be o(-3). Suppose -s*c + 6 = -14. What is the least common multiple of 20 and c?
20
Suppose 0 = 5*d + 1 - 6. Let n = d + 1. What is the lowest common multiple of (-4)/4 - (n + -8) and 4?
20
Let o = 4 + 2. Calculate the common denominator of 19/5 and (136/o)/1 - -2.
15
Let n(l) = -l**3 + l + 5. Calculate the least common multiple of 7 and n(0).
35
Let o(d) = -3*d - 5. Find the common denominator of -34 and o(-10).
1
Let m = -20 - -32. What is the lowest common multiple of 18 and m?
36
Let o = 9 - -38. Suppose o = 4*s - 29. Let z = 29 - s. What is the smallest common multiple of z and 8?
40
What is the common denominator of -71/10 and 0 - 0 - (-78)/16?
40
Let q = -46012/15 + 3070. Calculate the common denominator of q and -13/27.
135
Let h = 61139/8 - 7631. What is the common denominator of 37/28 and h?
56
Let j be -116 - 6*3/(-6). Let o = j + 221/2. What is the common denominator of -5/18 and o?
18
Calculate the lowest common multiple of 22 and 30/(-8)*((-64)/6)/2.
220
Find the common denominator of 2 - (182/25)/2 and 101/6.
150
Let z(c) = -c**3 - 2*c**2 + c. Let u be z(-2). Let s = -7 - -2. Let x = u - s. Calculate the least common multiple of x and 10.
30
Suppose -3*y = -y - 64. Suppose -v - 8 = 4*t, -2*v + 3*t + y = -t. What is the smallest common multiple of 2 and v?
8
Let w(y) = y**3 + 5*y**2 + 5*y + 7. Calculate the lowest common multiple of 8 and w(-4).
24
Let p = 3 - 3. Suppose p*x = -x + 4. Suppose 10 - x = 2*g. What is the common denominator of -13 and g?
1
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