ommon denominator of -31/16 and s.
176
Let s(j) = j**3 + 2*j**2 - 5*j + 3. Let n be s(3). Let w = 51 - n. Calculate the least common multiple of w and 8.
72
Suppose p - 19 = -2*v, 3*p + 2*v = -0*v + 65. Calculate the common denominator of 131/18 and (3/3)/(16/p).
144
Let b be ((-152)/10)/(6/(-45)). Calculate the common denominator of 14/40*(5 + 1) and 3*-1 + b/32.
80
Let z = 20 - 35. What is the common denominator of -19/18 and (-9)/4 + (-6)/z?
180
Let a be 44/(-332)*566/4. Let r = a + 1/332. What is the common denominator of r and -37/11?
44
Let h = 570 + -11972/21. What is the common denominator of -23/15 and h?
105
Suppose 25 = 5*x - 2*j, 3*x = -0*x - 5*j + 46. Let g = 4 + 5. What is the least common multiple of g and x?
63
Let u = -23 - -39. What is the least common multiple of 8 and u?
16
Suppose -3*z + 17 = -10. Suppose -7*l - 10 + 52 = 0. What is the smallest common multiple of z and l?
18
Let t = -1873/2 + 3485/4. Let h = t - -3067/44. What is the common denominator of ((-9)/(-7) + -1)*217/(-14) and h?
77
Let b(a) = -4*a + 4. Let z be 4/10 - 34/10. Calculate the lowest common multiple of 10 and b(z).
80
Let n = 10467/838 - -4/419. What is the common denominator of n and 41/20?
20
Let s(q) = 10*q - 1. Let a be s(1). Let p = a - 3. What is the common denominator of (-79)/p*(-18)/(-24) and -69/16?
16
Let p(g) = 3*g**3 + 7*g - 14. What is the lowest common multiple of p(2) and 2?
24
Let n be 52186/(-12220)*1 - 1. Let d = 18/611 - n. What is the common denominator of d and (-3)/(-9) - (-132)/16?
60
Let k = 2/24407 + 3636595/585768. What is the common denominator of k and 37/33?
264
Suppose b - 5 = 0, 4*x = -2*b + 23 + 19. What is the least common multiple of x and 10?
40
Suppose -3*o + 36 = 6. Calculate the lowest common multiple of 16 and o.
80
Suppose 0 = k - 2*r - 21 - 10, -4*r + 49 = k. Let i = k + -9. Let t = i - 20. What is the least common multiple of 8 and t?
8
Suppose -t + 38 = -2*d, 4*t - 100 = -d + 52. What is the least common multiple of 10 and t?
190
What is the common denominator of (123/(-54))/1 + 5/10 and -16?
9
Let k = -11981363/20 - -599194. Let y = k + -120. Calculate the common denominator of y and -55/12.
60
Suppose 0 = 4*d - 3*d - 4*y - 4, 0 = 2*d - 2*y - 8. Calculate the lowest common multiple of 4 and d.
4
Suppose 5*f = 45 - 5. Suppose 240*p - 242*p = -40. Calculate the smallest common multiple of f and p.
40
Let o(y) = 2*y**2 - 5*y - 12. What is the lowest common multiple of o(6) and 15?
30
Suppose 0 = 3*t + 5 + 1, -n - t + 14 = 0. Calculate the smallest common multiple of n and 20.
80
Let z = -238701849071/33765472500 - -2130/4502063. Let v = -9/625 + z. Calculate the common denominator of -25/22 and v.
132
Suppose -4*v = w - 14, -5 = w - 3*v + 2. Calculate the smallest common multiple of w and 12.
12
Let n(z) = 2*z + 4. Let v be n(-4). What is the least common multiple of v/32*-4*10 and 11?
55
Let b = -111949/10 + 11206. What is the common denominator of b and 20/3?
30
Suppose 2*x = 0, -2260 = -4*u + 8*u + 5*x. Calculate the common denominator of ((-4)/10)/(12/u) and 27/16 + 4/2.
48
Let n = 14 + -9. Suppose -n*b - 19 = 3*z, 10 = 5*z + 5*b + 25. Suppose z*a = 3*s - s + 26, a + 2 = -4*s. What is the lowest common multiple of a and 22?
110
Let n = -409/6 + 1147/15. Find the common denominator of 12/89 and n.
890
Let c be 8/20 + (-4)/10. Suppose 8*f - 9*f + 9 = c. Calculate the least common multiple of 2 + -2 + (1 - -5) and f.
18
Suppose -3*l + l = -62. Let g = l + -17. Suppose h + 7 = 23. Calculate the smallest common multiple of h and g.
112
Suppose -3*c - 2 = -4*c. Suppose 5*d - c*j - 72 = -6*j, 0 = -2*j - 4. Suppose 0 = -2*v - 2*v + 8. What is the least common multiple of v and d?
16
Let s = 7864/1233 - -3/274. Find the common denominator of s and ((-23)/(-18))/(11/33).
18
Suppose 15*b - 19*b = -144. Calculate the least common multiple of b and 28.
252
Let n = 175/132 + -10/11. Calculate the common denominator of -31/28 and n.
84
Suppose -5*c - y + 27 = 0, -14 = -4*c - 3*y + 1. Find the common denominator of 47/4 and (-2)/c + (-62)/12.
4
Let f(g) = -g**2 + 10*g - 11. Let z = 3 + 1. What is the lowest common multiple of f(8) and z?
20
Suppose 3*r + 14 = 29. What is the smallest common multiple of 4 and r?
20
Suppose 6*j + 18 = 3*j. Find the common denominator of 9/6 - j/(-7) and -45/22.
154
Let a = 418/27 + -1123/108. Calculate the common denominator of 38/27 and a.
108
Suppose 5*w - 8 = 3*w, 2*g = 5*w + 652. What is the common denominator of (-2)/3 - 847/g and 42/5?
80
Let t(c) = 12*c**2 - 1. Let r be t(1). Let i = r + -15. What is the common denominator of 2/3 + i/(-30) and -83/6?
30
Let h be 2/9 + 2600/(-198). Let p = 585/22 - h. Calculate the common denominator of p and -1 + (530/24)/(-5).
12
Suppose 2*j - 5 = 91. Let y = 127 - 57. Let q = y - j. What is the smallest common multiple of 20 and q?
220
Let y = 34285/8514 + -28/387. Find the common denominator of 7/12 and y.
132
Suppose 0 = d - 5*u + 14, -2*d - 4*u - 35 = -7. Let v = -38/9 - -98/9. What is the common denominator of v and d?
3
Let w(y) = 5*y**2 - 16*y**2 - 4*y + 10*y**2 + 2. Calculate the smallest common multiple of 7 and w(-4).
14
What is the least common multiple of 13/(4 - 115/30) and 24?
312
Let l(t) = -t**3 + 8*t**2 - 8*t + 9. What is the least common multiple of l(7) and (264/(-20))/(-3)*5?
22
Let c(o) = -o**3 - 9*o**2 - 8*o + 11. Calculate the least common multiple of c(-8) and 5.
55
Let p be (-3)/1 + 8 + 3. Let i(n) = 2*n - 12. Let g(f) = f + 3. Calculate the least common multiple of g(5) and i(p).
8
Let h = 32371/90 - 3148/9. What is the common denominator of h and 25/18?
90
Let l = -353917/18 - -19657. What is the common denominator of l and -91/22?
198
Suppose 0 = -3*y - 12 - 3. Let r(j) = 4*j + 0 + 0 + 3 + j**3 + 4*j**2. Calculate the common denominator of r(y) and -73/8.
8
What is the common denominator of 31/10 and (1/1 - 54)*2/(-40)?
20
Suppose 5*f = 2 + 3. Let o(d) = -d**3 - 7*d**2 - 9*d - 8. Calculate the least common multiple of f and o(-6).
10
Let a(l) = l**3 + 7*l**2 - 9*l + 8. Let t(s) = s**2 - s + 1. Let d(x) = a(x) - 2*t(x). What is the lowest common multiple of 4 and d(-6)?
12
Let p = 52453/10 + -5250. What is the common denominator of -1/16 and p?
80
Let v be -1*(1 - -2) - -5. Find the common denominator of (-123)/(-3)*v/12 and 38/5.
30
Calculate the common denominator of 0/1 - (-39)/22 and 3 + (-412)/24 + 1.
66
Suppose 0*i = -5*i + 110. Calculate the smallest common multiple of i and 20.
220
Let j = 22 + -199/9. What is the common denominator of j and (2/(-24))/(12/1032)?
18
Suppose -2*i = -4*y + 20, -5*y = -5*i - 4*y - 68. Let m(b) = 2*b**2 + b. Let z be m(-1). Calculate the common denominator of -151/18 and -1*z + (-71)/i.
126
Calculate the common denominator of 10/9 and ((-10)/(-105))/(12/7).
18
Let j = -1452 - -11669/8. Calculate the common denominator of j and (-19)/(-12)*36/24.
8
Find the common denominator of (-1)/4 - 79/(-28) and 67/3.
21
Let x(y) = 2*y - 4. What is the lowest common multiple of x(3) and 8?
8
Suppose 0 = -2*f + 42 - 2. Calculate the common denominator of 84/56 + (-186)/44 and f.
11
Let o = 14434 + -259927/18. What is the common denominator of -38/27 and o?
54
Suppose -3*u + 3*y = -48, -2*y + 0 = -4. Suppose 4*b + 0*b = 12, p - 2*b = 4. Calculate the lowest common multiple of u and p.
90
Let r = 3 + -2. Let y = -13 - -6. What is the smallest common multiple of 5 and -10 - -7 - y/r?
20
Suppose 0 = 5*u + d - 3, -5*u + 4 = 2*d - 2. Suppose -z = -5 + 3. Suppose 0 = z*x - u - 2. Calculate the least common multiple of x and 3.
3
Let d = -7874/5 - -1564. Calculate the common denominator of -31/10 and d.
10
Suppose 3*n + 134 = 2*q, -5*n - 99 = -5*q + 241. What is the least common multiple of 22 and q?
770
Suppose -7*t + 36 = -3*t. Suppose -3 + 2 = -b + 4*m, -4*b = -3*m - 4. What is the smallest common multiple of ((-14)/(-10) - b)*25 and t?
90
Let t = -2909/3 + 948. Find the common denominator of -61/10 and t.
30
Suppose 6*w - 53 + 17 = 0. What is the lowest common multiple of 3 and w?
6
Suppose -2*i = 8, 0*i - 13 = -3*r + i. Suppose -2*h + r*q - 4*q + 12 = 0, -2*h - 3*q + 12 = 0. Calculate the lowest common multiple of h and 3.
6
Let d(o) = -o. Calculate the lowest common multiple of 10 and d(-4).
20
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