 Calculate the common denominator of -17/6 and (v/8 + -1)*-1.
12
Let y = -2115545/286 + 7397. Let f = y + 5/26. What is the common denominator of 346/(-40) + (-3)/(-4) and f?
110
Let t = 1 - 4. Let a be t/(-1)*(-8)/3. What is the common denominator of 113/10 and 41/(-4) + a/(-4)?
20
Let r be -1 - (-165865)/(-16) - 3. Let i = 10367 + r. Find the common denominator of i and -51/10.
80
Suppose 0 = 3*x + 5*f + 3 + 1, -5*x - 4*f = -2. What is the smallest common multiple of 22 and 42/10 - x/10?
44
Let z be (-20)/(-2)*3/6. Let b be 3/((-15)/(-2))*z. Suppose -b*c - c + 15 = 0. What is the smallest common multiple of 7 and c?
35
Let m(x) = -8*x**3 - 4*x - 4. Let s be m(-4). Calculate the common denominator of 8/5 and s/24 - 1/3.
10
Calculate the common denominator of (57/(-42) + 1)*-11 and -19/9.
126
Let p(m) = 5*m**2 + 1. Let f = 11 + -1. Calculate the smallest common multiple of f and p(1).
30
Suppose -5*j + 4*j + 10 = 0. Suppose -5*o - j = -n, -n + o - 14 = 4*o. Let g = n - -15. What is the smallest common multiple of g and 6?
30
Let p = -1426 - -11445/8. Find the common denominator of ((-1)/(-6))/((-4)/102) and p.
8
Let p(o) = 7*o**2 + 2*o - 1. Let q be p(-3). Let r be (-2)/5 + q/(-10). Find the common denominator of -125/6 and 282/(-55) - r/15.
66
Suppose l + y + 3 = 2, -3*l - 4*y - 5 = 0. What is the least common multiple of 1 and 21/9*l*3?
7
Suppose -6*c - 8 = -7*c. Let l be 2/(-3) - (-28)/6. What is the smallest common multiple of l*(-3)/(-6)*8 and c?
16
Let y be (-2)/(-10) + 1/(-5). Let l be 13 - -1*(1 + y). What is the common denominator of -17/18 and (-4)/l + (-1887)/378?
18
Let n(d) = -d. Let q(y) = 7*y - 1. Let f(i) = -4*n(i) - q(i). Calculate the smallest common multiple of f(-2) and 1.
7
Suppose -f + 3*q = -2*f - 2641, -4*f - 10547 = -5*q. Let l = -29043/11 - f. Find the common denominator of 31/6 and l.
66
Let x = 3/932 + 24913/5592. Calculate the common denominator of x and -41/9.
72
Let l = 648 + -638. Let o be -4 + 0 + 2 - 1. Calculate the least common multiple of (-29)/o - 2/(-6) and l.
10
Suppose 2*g = -j - 235, -g - 3*g + 2*j = 474. Let b = -68/79 + -4407/1580. What is the common denominator of b and (-10)/(-15)*g/16?
60
Suppose 0 = 2*r - 5*r + 31413. Let y = r - 167597/16. Let q = 12/25 + 1083/400. Calculate the common denominator of q and y.
16
Let k(t) = -28*t + 6. What is the lowest common multiple of 9 and k(-2)?
558
Suppose 72 = -3*o - l, -o - 3*l = -0*l + 24. Let q be 1552/(-2)*(-30)/o. Let k = 1979/2 + q. What is the common denominator of k and 5/6?
6
Suppose 2 = 5*c - 2*a + 9, 5*c = -5*a. Find the common denominator of 740/72 + (c - 2) and 73/(-16) + -1 + 1.
144
Suppose m - 11 + 0 = 3*z, 4*m - 44 = -2*z. Suppose s + 3*s = -3*t + 16, -4 = -s - 2*t. Calculate the least common multiple of s and m.
44
Let v(b) = 10*b**3 + 2*b**2 - 1. Let n be (2 - -2)*(-15)/(-3). Suppose -u = 4*u - n. What is the smallest common multiple of u and v(1)?
44
Let p(n) = -2*n - 2 - n + 2*n. What is the smallest common multiple of p(-12) and 22?
110
Let z = -36 + 52. Suppose 3*m - z = -m. What is the least common multiple of m and 2?
4
Let v = -2446 - -14755/6. What is the common denominator of v and (-4 + 203/42)*(-243)/(-50)?
60
Let c = 3199/4 + -815. What is the common denominator of c and -23/62?
124
Let o = 23 + -15. Let p(t) be the second derivative of -t**5/20 - t**4/4 - 2*t**3/3 - t**2 - 2*t. What is the least common multiple of o and p(-2)?
8
Let m = 575 + -4683/8. Find the common denominator of m and 196/(-152) + 9/6.
152
Let t = -7213783 + 11830601327/1640. Let l = -1/328 - t. Find the common denominator of l and -43/3.
30
Let j(u) = -26*u**3 + u**2 + 2*u. Let h be j(-1). Suppose 5*v - v = -2*w + 14, -5*v - w = -h. Calculate the lowest common multiple of 14 and v.
42
Let x(w) = -3*w - 13. Let h(i) = -i**3 - 6*i**2 - 2*i + 6. Let c be h(-5). Let l(t) = 3*t - 16. What is the lowest common multiple of x(c) and l(8)?
56
Suppose -2*t + 6 + 2 = 0. What is the lowest common multiple of 14 and t?
28
Let b(j) = 2*j. Calculate the smallest common multiple of 2 and b(5).
10
Let q = -3002 + 48057/16. Find the common denominator of 61/68 and q.
272
Let d = 3646 + -29105/8. What is the common denominator of 44/3 and d?
24
Let d be (-1)/6 - 93309/72. Let r = d - -1293. Find the common denominator of 1*22/(-16) - 2 and r.
8
Let q be (210/4928)/((-2)/(-1608)). Let d = q - 315/11. Calculate the common denominator of d and 25/11.
88
Let b = 21 + -5. Let i = -10 - -18. What is the lowest common multiple of i and (-1)/4 + 164/b?
40
Let u be 784/787 - (3 - 2). Let g = u - -4187/66108. Let b = 617/924 + g. Calculate the common denominator of -18/11 and b.
11
Suppose -2*p + 0*p + 18 = 3*x, p + 4*x = 9. What is the smallest common multiple of p and 1?
9
Let q = -1 + 1. Suppose q*h + 6 = 2*h. Suppose -3 = a - 3*u, -h = -2*a - 2*u + 15. What is the lowest common multiple of a and 4?
12
Let w(o) = -o**2 - 10*o - 18. Let i(y) = y**3 + 4*y**2 + 2*y + 2. Let r be i(-3). Let s(x) = x - 4. Calculate the lowest common multiple of s(r) and w(-6).
6
Let x be ((-12)/7)/(4/(-42)). Suppose -x - 9 = -3*a. Calculate the least common multiple of a and 4.
36
Suppose 2*w = -5*o + 28, 3*o - w + 3*w - 20 = 0. Suppose o*j - 3*l - 54 + 505 = 0, -j - 3*l = 94. What is the common denominator of 63/20 and j/90 + 27/45?
180
What is the least common multiple of (-9)/3*80/(-12) and 12?
60
Let w = 2 + -1. What is the least common multiple of 9 and w?
9
Let y = -9 + 5. Calculate the lowest common multiple of y/10 + 27/5 and 3.
15
Suppose 5*m = 3*c + 267, 5*m + 2*c - 274 = -2*c. Calculate the smallest common multiple of 24 and m.
216
Let y(h) = -h**3 + 11271886. Let r be y(0). Let t = r - 1487879491/132. Let l = 817/12 - t. Calculate the common denominator of l and 29/12.
132
Suppose 0 = -8*s + 23*s - 135. What is the smallest common multiple of s and 7?
63
Suppose -111 = -4*i + 3*m, 17 + 3 = -4*m. Let v = -2477 + 44737/18. What is the common denominator of (-74)/i*4/(-6) and v?
18
Let f = -3497402/75 + 46631. What is the common denominator of f and 71/4?
300
Let s(u) = -17*u**3 - 2*u + 1. Let l be s(1). Find the common denominator of (-4)/14 - (-11)/7 and ((-47)/21)/(6/l).
7
Let z be 0/(6/(-3) + 1). Suppose z*d = -d + 2. What is the smallest common multiple of 10 and d/6 - 23/(-3)?
40
Find the common denominator of 2/(-6) + (-106)/(-66) and 47/(-2)*18/(-99).
11
Suppose 0 = 5*l - 5*d - 60, 0 = -2*l + 6*l + 5*d - 12. Calculate the common denominator of l and -61/8.
8
Suppose 4*t + 12 = 2*t. Let s = 21 + t. What is the common denominator of (-5)/s + 67/(-15) and -85/4?
20
Let s = -102 - -27. Find the common denominator of -55/8 and (5/s)/(4/(-670)).
24
Suppose -3*j + 10 = 2*j. Calculate the common denominator of -45/8 and (-55)/32 - (j + -4).
32
Find the common denominator of 133/36 and 3 + (-127)/6 + -3.
36
Suppose -4*v = -4*u + 4, 3*u - 2*v - 17 = -2*u. Suppose 0 = -2*t - 3 + u. Calculate the smallest common multiple of 2 and t.
2
Let g be ((-44)/10)/(3/(-345)). Suppose 5*s - 19 = g. Find the common denominator of 17/5 and (1 - (-57)/s)*5.
35
Let j = 124260115832/197908661387585 - 1/1092395030. Let z = -9939600457/2176208034 + j. Let a = z + -2/429. What is the common denominator of a and -22/9?
63
Let z = -23/54 + -2/27. Let j = 2339/3 - 788. Find the common denominator of z and j.
6
Let p = 1050625/25032 + -1399/1192. Let m = p - 521/14. Calculate the common denominator of -19/16 and m.
48
Let a be (-4)/(-2) - (-13974)/(-10). Let p = -1391 - a. Calculate the common denominator of 50/11 and p.
55
Let g(a) = -a**3 - 16*a**2 - 25*a - 9. Calculate the lowest common multiple of 3 and g(-15).
141
Calculate the smallest common multiple of 6 and (-1)/(2/(-1)*10/220).
66
Let o be (2/10)/((-145)/2). Let s = -2311/49300 - o. Let p = s - 3141/476. Calculate the common denominator of p and 25/8.
56
Let w = 1/1830 - 40724/11895. What is the common denominator of w and -65/8?
104
Find the common denominator of 34 and 2 + (-1 - 16/(-10)).
5
What is the common denominator of -23/6 and (-18)/(-8)*100/(-6)?
6
Let x be 7 + -3 + 0/1. Suppose x*w + b - 40 = 0, -3*w = -8*w - 5*b + 50. Calculate the least common multiple of 7 and w.
70
Let t be (12 - 3) + -2 - -3. Suppose -u = -5*b - t, -53 + 3 = -2*u - 5*b. 