
Let q = 3164 + -1412. Let o = 15796/9 - q. What is the common denominator of o and -1?
9
What is the common denominator of -2/5 and ((-1)/(-12)*-2)/(56/(-4074))?
40
Let g = -1/882 - -22271/441. What is the common denominator of -39 and g?
2
Let u(b) = -b**3 - 7*b**2 - 8*b - 10. Calculate the smallest common multiple of u(-6) and 10.
10
Suppose 2*p + 2*t = -4, -2*t - 1 = -p + 9. Suppose 4*x + s - 361 = -42, -5*s = p*x - 173. Let l = -111/2 + x. Calculate the common denominator of l and 70/3.
6
What is the common denominator of ((-1)/(-12))/((-10)/(-1510)) and -13/4?
12
Calculate the smallest common multiple of -4*(-21)/12 - -2 and 9.
9
Let j = 615296468493650713/1460 + -421435904361827. Let n = j - 32962593. Let f = 1/292 + n. Find the common denominator of -69/2 and f.
10
Let v = 72 + -52. Calculate the lowest common multiple of v and 36.
180
Suppose -5*w = -8*w + 12. What is the common denominator of 0 + 2 + (-42)/w and (450/(-28))/(-5) + 2?
14
Let r(z) = 4*z - 2. Let d(h) = -h**3 - 2*h**2 + 10. Calculate the smallest common multiple of d(0) and r(5).
90
Suppose 12 = 10*w - 7*w. Find the common denominator of -13/9 and (1 + 1)/(w/(-82)).
9
Let s be -10*((-319)/(-95) - 3). Let d = -1599/38 - s. Find the common denominator of -91/8 and d.
8
Let t = 9 + 3. Suppose 2*x + t = d, 5*d + 4*x = -17 + 119. What is the lowest common multiple of d and ((-1)/(-1))/((-1)/(-4))?
36
Let b = 56 + -52. Calculate the least common multiple of b and 32.
32
Suppose -7*u - 23 + 93 = 0. Calculate the least common multiple of 25 and u.
50
Let g(j) = 2*j + 6. Suppose f - 4 = i, -4*i - f - 2*f - 16 = 0. Let b be g(i). Calculate the common denominator of ((-4)/(-24))/(b/(-45)) and 107/10.
20
Let s(t) = t**2 - 4*t - 6. Let c be s(-6). Find the common denominator of 133/6 and ((-3)/c)/((-4)/(-546)).
12
What is the lowest common multiple of 9 and (4/16*-1)/((-1)/44)?
99
Let i = 8 - 6. Suppose 7*h - 3*h + 2*c = 18, -i*h - 3*c - 1 = 0. What is the smallest common multiple of h and 7?
7
Let v = -3332311/1562 - 108/781. Let y = v + 2084. Calculate the common denominator of y and -12/7.
14
Suppose 5*m - 4*m - 39 = 3*w, 0 = -4*w. Calculate the lowest common multiple of m and 18.
234
Let s(j) = -j**2 + 8*j + 4. Suppose 2*c + u - 51 = -2*u, 2*c - u = 31. What is the smallest common multiple of s(4) and c?
180
Suppose -f - 3*c = -588, -3*c + 2*c - 580 = -f. Suppose 3*r - f = 1557. Let q = r + -11415/16. Calculate the common denominator of 9/8 and q.
16
Let a = -12862 - -205697/16. Let n be -1 - (2*274 + -1). Find the common denominator of (-2)/(-16)*n/(-6) and a.
48
Let g = 19127/18 + -1063. Calculate the common denominator of -22/3 and g.
18
Suppose -6 = 2*o - 5*o. Suppose m - o*u - 38 = -2*m, -4*u = -20. What is the lowest common multiple of (2/6)/((-1)/(-42)) and m?
112
Suppose -3*g + 86 = d, 61 = 3*g + 5*d - 21. What is the least common multiple of 3 and g?
87
What is the common denominator of 115/24 and (2 - (0 + -2)) + 109/(-15)?
120
Let q be (-2)/5 - (-308)/20. Suppose -q = -5*o - 2*c + 8, -5*c = -o - 17. Suppose 0 = -o*j - 1 + 4. What is the lowest common multiple of 4 and j?
4
Let f = -18308271/11 + 1660142. Let p = f + 4242. What is the common denominator of p and -101/4?
44
Let r = 11857 + -213335/18. What is the common denominator of r and -7/30?
90
Let z = 3 + -3. Suppose z*g - 4*g - 24 = 0. What is the common denominator of -67/4 and 212/24 + 2/g?
4
Let f be (0 - 0)*(-9)/18. Suppose f*c + 24 = 2*c. Calculate the lowest common multiple of c and 14.
84
Let a = 36 + -13. Calculate the least common multiple of a and 2.
46
Let o be 9/(-6) - 639/(-6). Find the common denominator of (o/54 - 2)*89 and -97/12.
36
Let a = 20 - 2. Calculate the smallest common multiple of a and 33.
198
Let c = 3067/9 - 342. Let a = 123971/4689 - 238/9. Let i = -30718/3647 + a. Calculate the common denominator of c and i.
63
Let o(q) = 6*q**2 + q. Suppose 59 = 6*s + 5. What is the lowest common multiple of o(-1) and s?
45
Let y = -1/371 + 6313/2226. What is the common denominator of y and 131/30?
30
Let o = 1036 - 1885. Let w be ((-10806)/4)/3 - -2. Let a = o - w. Find the common denominator of -24/5 and a.
10
Let v(n) = -3*n**3 + 1. Let w be (4 + -2)*10/4. Suppose -4 = 2*m, -32 = -w*g + m + 30. Calculate the least common multiple of v(-1) and g.
12
Let j(x) = -2*x**2 + 3. Let l(d) = 5*d**2 - d - 5. Let r(q) = 5*j(q) + 3*l(q). Let s = 3 - 1. Calculate the least common multiple of r(s) and 12.
84
Suppose 0 = -2*o - 10, -21 = -4*z - 0*z + o. Suppose 30 = z*m + m. Let i = 16 - 9. Calculate the lowest common multiple of m and i.
42
Let l = -2034 + 951. Let r = 178 - l. Let q = 10053/8 - r. Find the common denominator of 93/22 and q.
88
Let k be (80/(-15))/((-1)/9). Calculate the common denominator of (392/k)/(2/(-6)) and 25/14.
14
Let z be 10/4*(-10)/3. Let y = 2381/150 - 26/25. Let l = y + z. Calculate the common denominator of l and -70/3.
6
Let f = 81/56 + -43067/29736. Let x = 3/721884200 - -19554399198449/2683243571400. Let b = x + f. Calculate the common denominator of b and -52/11.
77
Let k(l) = 3*l. Let d be k(-1). Let i = d + 5. Suppose -i*r = -0*r - 8. Calculate the least common multiple of r and 3.
12
Suppose 0 = 5*g + 2*s + 2 - 7, -g = s + 2. Let h(f) = f**2 - 17*f - 27. What is the least common multiple of h(19) and g?
33
Calculate the smallest common multiple of 2 and (-4)/(-18) - 260/(-45).
6
Suppose 6*v = 4*v. Calculate the common denominator of 55/8 and v + (-4)/(-8) - 48.
8
Let u = 3 - 0. Suppose u*w - 23 + 5 = 0. Suppose 4*b - j = -w*j + 80, 0 = -2*j. Calculate the least common multiple of b and 16.
80
Suppose 23 = v + 2*b + 2, -3*b = -15. Calculate the lowest common multiple of v and 50.
550
Suppose -s = -4*h + s - 24, -s = 4. Find the common denominator of 45/(-11) + 8/h and 95/8.
88
Let w(n) = -2*n**2 + 7*n - 3. Let g be w(3). Suppose -4*o + 35 + 5 = g. Calculate the least common multiple of 20 and o.
20
Calculate the lowest common multiple of -1*(-1 + -11 - -2) and 30.
30
Let y = 297647/20 + -14877. Find the common denominator of -75/2 and y.
20
Suppose 6*v = 3*v + 48. Suppose -5*w + 54 = -v. Calculate the smallest common multiple of (-1 - 7)/(-6 - (-88)/16) and w.
112
Let k = 49226/385 - 1029/11. Let n = 55368/7 + -7887. Let i = k - n. Calculate the common denominator of 41/3 and i.
15
Let l = 7997/4 - 2013. What is the common denominator of 3 - (1100/(-6))/(-10) and l?
12
Let h = -70 - -73. What is the smallest common multiple of 33 and h?
33
What is the common denominator of -41/33 and (726/360)/(6/15)?
264
Let f = -3 - 86. Find the common denominator of 57*((-19)/(-4) + -9 + 4) and (2 - 4) + f/4.
4
Let i = -517/138 + -25/23. Find the common denominator of i and -43/92.
276
Let u = 9101/1352 + -18/169. What is the common denominator of -36/7 and u?
56
Suppose -b - 4*b = -70. Let n(t) = t - 9. Let p be n(5). Let s = 14 - p. What is the lowest common multiple of b and s?
126
Suppose 0 = -4*d + 4 + 8. Let z(k) = -k**2 - 8*k + 1. Calculate the least common multiple of z(-7) and d.
24
Let l(f) = -f**3 - 6*f**2 + 5*f - 8. Calculate the least common multiple of 10 and l(-7).
30
Let s(w) = -20*w - 80. What is the lowest common multiple of s(-6) and 45?
360
Suppose -3 - 5 = -2*p, 2*a = -4*p + 20. Calculate the lowest common multiple of a and 82.
82
Suppose -2*g + 0*g = -16. What is the lowest common multiple of 8/(-20) - 156/(-15) and g?
40
Let i = -11 + 17. Let n = -5 + i. Calculate the smallest common multiple of n and 2.
2
Let l = -4 - 5. Find the common denominator of -42/11 and 2/6*l/(-30).
110
Let t(p) = 5*p**2 - p. What is the lowest common multiple of t(1) and 9?
36
Let p be (5/(-2))/((-1)/2). Suppose -p*u + 3*u + 132 = 0. What is the common denominator of -13/11 and ((-15)/u)/(2/(-4))?
11
Let m(z) = -z - 10. Let p be m(-8). Let c = p - -6. What is the lowest common multiple of 1 and c?
4
What is the smallest common multiple of (230/(-69))/(2/(-3)) and 8?
40
Let l = -22 - -84. What is the lowest common multiple of l and 8?
248
Let p = 5017/6 + -855. Let a(r) = r**2 - r + 12. Let c be a(0). Calculate the common denominator of p and c/25*(-15)/2.
30
Let z be (0/(-2))/((-30)/(-15)). Suppose z = -2*i + 2*x + 18, 33 = -3*i + 8*i - x. What is the smallest common multiple of i