6
Let x = 6993 + -42059/6. Find the common denominator of -29/10 and x.
30
Let z = 4/669 - -32092/3345. What is the common denominator of 0 + 1*13/10 and z?
10
Find the common denominator of 39/16 and (226*(-12)/80)/(1*-6).
80
Let t be (4612/(-6))/1 - 2. Let d = 36701/48 + t. Find the common denominator of 13/18 and d.
144
Calculate the common denominator of (-370)/(-72) - 2/8 and (121/3)/((-110)/33).
90
What is the lowest common multiple of 2 and (-14)/2*(-6)/7?
6
Let y = -18 + 34. Let o(u) = -u**2 + 5*u + 6. Let s be o(6). Suppose -h + y = -s*h. What is the least common multiple of 2 and h?
16
Let r = 16 - 5. Suppose t + r = 2*t. What is the smallest common multiple of t and 3?
33
Suppose 4*x - 15 - 5 = 0. Calculate the least common multiple of 4 and x.
20
Let g(k) = -k**3 - 8*k**2 - 8*k - 8. Let l be g(-7). What is the least common multiple of -11*l*(3 - 2) and 2?
22
Let m(k) = -k**2 + 6*k + 3. What is the smallest common multiple of m(6) and 23?
69
Let m = 1 - -43. Let a = m + -26. What is the lowest common multiple of 14 and a?
126
Let j = -36 - -66. Let k = j - 14. What is the least common multiple of k and 22?
176
Suppose -z + 0*z + 1 = 0. Calculate the common denominator of 2 + 114/27 - 1 and (z - 1) + (-34)/(-7).
63
Suppose -3*w - 2*w + 110 = 0. Find the common denominator of (w/(-2))/(7 - 1) and -43/8.
24
Let o = 64922/5595 - 4/1119. What is the common denominator of o and (-2 - 13/(-5))/1?
5
Find the common denominator of (-3)/160*178 + 1 + 1 and -29/10.
80
Let s(t) = t**2 + 10. Let a = -6 + 6. Suppose -5*f - i + 65 = a, -3*f + 25 + 6 = -i. Calculate the least common multiple of f and s(0).
60
Suppose 0 = 4*z + 21 - 49. Calculate the lowest common multiple of 1 and z.
7
Let p be 104/(((-105)/54)/5). Let t = 3121/14 + p. Calculate the common denominator of 9/8 and t.
8
Calculate the common denominator of 12/40 - (-4)/(-10) and -5/11.
110
Let r = 28 + 2. Suppose 2*p - r = -p. Calculate the least common multiple of (-4)/12 - (-22)/3 and p.
70
Let n = 37759/32 - 1183. What is the common denominator of n and -79/18?
288
Let u = 22060641352 - 412004537791229/18676. Let m = u + -1/2668. What is the common denominator of m and 77/4?
28
Let y be 1162*4/(16/4). Calculate the common denominator of 4/11 and y/(-49) + (-4)/14.
11
Calculate the smallest common multiple of ((-63)/14)/(3/(-4)) and 16.
48
What is the lowest common multiple of 4/6 - 770/(-33) and 42?
168
Suppose m + 10 = 4*f - m, -5*f - 4*m - 20 = 0. Let h = 20 - 18. Calculate the least common multiple of -1 - f - -1*21 and h.
20
Suppose 2*n = -0*n + 6. Suppose 3*v = -5*m + 97, -49 = n*v - 4*v - 5*m. Find the common denominator of -43/14 and 24/(-18)*(-13)/v.
126
Let x(o) = -14*o**2 + 3*o + 4. Let j(d) = 13*d**2 - 2*d - 3. Let k(i) = 5*j(i) + 4*x(i). Let g = 1 + -2. Calculate the least common multiple of k(g) and 9.
72
Let z be (-1)/(-2) - 90/(-20). Suppose z*y - 48 = -3. Calculate the lowest common multiple of y and 6.
18
Let z = 0 - 6. Let b(u) = -u**2 - 10*u - 6. Suppose -66 = -2*v - 2*v - 5*n, v = 2*n + 10. Calculate the smallest common multiple of v and b(z).
126
Let u(n) = n**2 + 5*n + 3. Let x be u(-4). Calculate the common denominator of 1 - 3/(60/(-103)) and ((-1)/(-14))/(x/(-27)).
140
Let h(m) = m**3 + 16*m**2 - 15*m + 36. Calculate the smallest common multiple of h(-17) and 56.
56
Let m(q) = -2*q - 2. Let t be 0/(-1)*(-11 - -10). Suppose 3*g - 9 = -t*g. What is the smallest common multiple of g and m(-2)?
6
What is the common denominator of -43/16 and 2/(-2) - ((-747)/(-22))/(-9)?
176
Let i = -1 - -6. Calculate the smallest common multiple of -3*(-6)/81 - 158/(-18) and i.
45
Let m be (-6)/(-9) + 8/(-12). Suppose m = 2*o - 3*n, -28 = -4*o - n - 0*n. Calculate the lowest common multiple of o and (-31)/(-3) - (-2)/(-6).
30
Suppose 0 = 3*k + 2*y + y - 831, -5*y = 15. Suppose -k = -9*t + 4*t. Let a = 78 - t. What is the least common multiple of 20 and a?
220
Let z(x) = 4*x**2 - x. Let j be z(2). What is the common denominator of (-1989)/420 + 4/j and 23/4?
20
Let r = -20 - -6. Calculate the common denominator of ((-132)/r - 1)*1 and -23/3.
21
Let o be -2 - 15868/2888*-1. Let m = -2/361 - o. What is the common denominator of 25/9 and m?
18
Let l = -37007/84 - -1771/4. What is the common denominator of l and -89/6?
42
Let y = 2 + 2. Let z(w) = w - 1. Let q be z(3). Suppose 4*o = h + 4*h - 26, -q*o = -2. Calculate the least common multiple of y and h.
12
Suppose 4 = -3*v + 2*g, 5*v + 6 = 3*g - 1. What is the common denominator of v/((-20)/(-156) + 1) and 79/18?
198
Suppose -k - k = 0, -5*j + 5*k = -50. What is the lowest common multiple of j and 10?
10
Let y = -14 - -18. Calculate the least common multiple of 18 and y.
36
Find the common denominator of 99/4 and ((-1)/(-50))/((-2)/(-8)).
100
Suppose 5*q - 42 = -3*x, 5*x + 4*q - 56 = x. Calculate the smallest common multiple of 72 and x.
504
Suppose 4*f - 12 = 60. Calculate the lowest common multiple of f and 20.
180
Let w = 14980 + -314653/21. Find the common denominator of w and -89/15.
105
Let d = 0 - -4. Suppose 2 = 3*l - d*m, -4*l - 2*m + 26 = -l. Calculate the lowest common multiple of 14 and l.
42
Suppose 3*m = 8*m - 30. Calculate the lowest common multiple of m and 10.
30
Let v = 4 + -6. What is the common denominator of 1*v*(-261)/(-135) and -62/9?
45
Suppose 4*b - 2*r - 15 = -r, 0 = 2*b + 5*r - 35. Suppose 0 = b*c + 4 - 14. Calculate the lowest common multiple of 18 and 2 + -3 + 18/c.
72
Let w be -2*(-6)/(-16)*-12. Suppose -3*m + 4*v = -26, w = m + 4*v - 5. Calculate the lowest common multiple of (2 - 3 - 2)/((-1)/6) and m.
90
Let i = 242259/7454 - 2/3727. What is the common denominator of 1632/130 + 22/(-143) and i?
10
Let t = -611/140 - -13/28. Let a(h) = 16*h. Calculate the common denominator of a(-3) and t.
10
Let k = -2363/30 + 499/6. Let a = 1585 - 6389/4. Calculate the common denominator of a and k.
20
Let g(r) = -r**3 + 13*r**2 - 8*r + 11. Let h be g(12). Find the common denominator of h/(-2)*(-6)/(-27) and 49/2.
18
Suppose -5*d + 4*b + 19 + 1 = 0, -3*d - 5*b = -12. Calculate the least common multiple of 3 and d.
12
Suppose -h = -2*h - 2*w + 8, -5*h + 22 = w. Calculate the least common multiple of 18 and h.
36
Let b be 60/(-25)*(-40)/(-6). Let d = b - -17. What is the least common multiple of d and 11?
11
Let k be (-2864)/(-12) - 9/(-3). Let x = k - 259. Calculate the common denominator of x and -5/9.
9
Suppose 2*d - 8 = 6. Calculate the smallest common multiple of 7 and d.
7
Let k(a) = a**2 + 5*a + 6. Let g be k(-4). Let m = g + 0. What is the lowest common multiple of 3 and m?
6
Suppose 57*o = 55*o + 14. Suppose 4*h = b + 3*h - 16, -5*b = 5*h - 30. What is the lowest common multiple of b and o?
77
Suppose -5*f + 7 = -23. Let p = -107 + 108. What is the smallest common multiple of f and p?
6
Let d = 10193875/6 + -1708266. Let j = d + 9266. Find the common denominator of (-279)/(-54)*9/5 and j.
30
Find the common denominator of 15/8 and 24/(-11) - (-3)/(-6).
88
Suppose 2*o - 14 = 4. Suppose 5*y - 16 - o = 0. Calculate the lowest common multiple of y and 6.
30
Let v(s) = s + 2. Suppose -6*g + g - 4*n - 23 = 0, -g - 4*n + 5 = 0. Let d = 6 + g. What is the smallest common multiple of 10 and v(d)?
10
Suppose -3*q - 17 = 31. Let m = q - -46. Find the common denominator of 109/m - 6/(-30) and -87/16.
48
Let r = -3521/855 + -14/171. Calculate the common denominator of r and -37/11.
55
Let b = 216145/77 - 2807. Let j = b + 3701/924. Calculate the common denominator of 73/2 and j.
12
Suppose -f - r = -7, 0 = 5*r - 3*r + 2. Suppose 35 - f = 3*g. What is the smallest common multiple of 1 and g?
9
Let w = -3 + 9. Let a(z) = z**2 - 3*z + 3. Let g be a(3). Suppose -5*l = 0, 0*l + 27 = g*h + 5*l. What is the least common multiple of h and w?
18
Let u = -1/32977 + -3000889/593586. What is the common denominator of u and (8/(-60))/((-4)/(-605))?
18
Let a be (4/1 + -2)*2. Suppose -n + a - 2 = 0. Calculate the smallest common multiple of n and 9.
18
What is the lowest common multiple of 9 + (1 + 3 + -3)/(-1) and 12?
24
Suppose 5*s + 24 = -2*u - 39, s + 7 = u. Calculate the common denominator of -45/2 and -1 + -2 + (-32)/s.
22
Let s be 0 - -3 - 36761/2184. Let g = s - 1/728. Calculate the common denominator of g and 149/12.
12
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