q + 2. Let t = 1/2655 - 262853/21240. Find the common denominator of i*(-3 + (-38)/(-22)) and t.
88
Let y = 15 + -13. Calculate the least common multiple of y and 18.
18
Let d be (6 + -2)/((-4)/(-10)). Suppose 0*v + 2*v = d. Let u(a) = -a + 8. What is the smallest common multiple of u(6) and v?
10
Calculate the least common multiple of 2 and 47/6 - (-5)/30.
8
Suppose 46 = 3*a - 2*t - 2*t, -3*a + 5*t = -50. Calculate the least common multiple of a and 10.
10
Suppose -11957 - 8443 = -5*m. Let s = m + -28607/7. Let f = 1073/42 + -117/7. Calculate the common denominator of s and f.
42
Let j = -5 + 11. Suppose -4*o + 3*c + 29 - 5 = 0, c = 2*o - 10. Suppose -5*z + q = 6*q - 40, -4*z + 53 = -o*q. What is the lowest common multiple of z and j?
66
Let z = -5 + 8. Suppose -z*h + 8 = -10. Calculate the smallest common multiple of h and 4.
12
What is the common denominator of ((-155)/10)/(1 - -4) and 53/14?
70
Let q be (-8)/(-28)*(-1849)/(-2). Let u = 265 - q. What is the common denominator of u and -28/5?
35
Let s(j) = -2*j + 3. Let q be s(-6). Let i be (0 - -34)/(10/q). Suppose -i - 59 = -5*c. Calculate the smallest common multiple of 14 and c.
154
Let a = 0 + 0. Let n be 2/4 + (-24)/(-16). Let w = a + n. Calculate the lowest common multiple of w and 10.
10
What is the lowest common multiple of 6/(-4) + 118/4 and 18?
252
Let c(p) = p**2 + 2*p + 1. Let z be c(-3). Suppose s - 5 = 0, z*s - 22 = u - s. Suppose r + u*r = -100. What is the common denominator of 89/8 and r?
8
Let n = 3 + 15. What is the lowest common multiple of n and 2?
18
Suppose p - 3 = -1. Suppose j = -p*j + 159. Let w = j + -33. What is the smallest common multiple of w and 2?
20
What is the common denominator of 25/64 and (-961)/22 - 4/(-22)?
64
Let c be (-3201)/11473 - 1*3. Let n = c - 1/149. Find the common denominator of -30 and n.
7
Suppose -22 = -j - 7. What is the smallest common multiple of 40 and j?
120
Suppose -6*a = -8*a + 40. Suppose -4*x - 4 = -4*g, g - 19 = -5*x + 6. What is the least common multiple of a and (x*-1)/(3 + -4)?
20
What is the lowest common multiple of 42 and (1/(-3))/((-8)/432)?
126
What is the common denominator of -12/11 and 544/(-24)*3/38?
209
Let p be -3 - (-12)/(3 + 0). Calculate the common denominator of 53/12 and ((-348)/(-32))/(p + 1).
48
Let s(m) = m**2 - 7*m - 5. Let p be s(8). Let l(j) = -6 - 2*j - j**2 - 8*j + p*j. What is the lowest common multiple of l(-5) and 4?
4
Suppose 10*h - 4*h - 216 = 0. What is the smallest common multiple of 2 and h?
36
Let s = 14776/9 - 1649. Let w = 515 + -1129/2. Calculate the common denominator of s and w.
18
Let p be 4467/(-21) + (-4)/14. Let u = p + -74. Calculate the common denominator of 17/16 and u/28*(-2)/7.
112
Let r = 0 - -3. Suppose -r*i = i - 40. Calculate the lowest common multiple of i and 3.
30
Let r(p) = 2*p**2 - 2*p - 4. Let n be 3/(-3) + 2 - -5. What is the smallest common multiple of r(3) and (-3)/(-3 + n/3)?
24
Let o = 17 - 10. Let w = o - 6. Let u = 3 - w. Calculate the least common multiple of u and 12.
12
Let s(x) = -8*x - 3. Let t be s(-5). Suppose i - t = -2*b + 6*i, 3*i = -b + 2. Let g(p) = -p**2 + 6*p - 6. What is the least common multiple of b and g(4)?
22
Let i = 10 + -18. What is the common denominator of 115/12 and ((-273)/56)/(10/i)?
60
Let f be (-24)/4*(-2)/(-4). Find the common denominator of 101/18 and f/(-40)*(-1615)/34.
144
Suppose -21 = -h - 4*b, 2 = h - 3*b + 9. Suppose 40 = h*r - 15. Let q = -13 + 23. What is the least common multiple of r and q?
110
Suppose 5*n - 12 = 18. What is the smallest common multiple of 9 and n?
18
What is the common denominator of 1137/198 + -8 + (0 - -1) and 97/14?
462
Let a = 47/254 + 11285/5588. Find the common denominator of 17/24 and a.
264
Let n = 12359340 + -5067325791/410. Let g = -1/410 + n. Calculate the common denominator of -93/4 and g.
20
Suppose 3*t = 5*s - 41, -2*s = -0*s + 4*t - 32. Calculate the least common multiple of 4 and (s - 1) + (7 - 7).
36
Let s = 32 - 20. Let x be 1/(-3) + (-6)/9. Let g = x + 5. Calculate the lowest common multiple of s and g.
12
Let p be (-312578)/231 - 4/22. Let u = 2679/2 + p. Calculate the common denominator of 0 - 1 - 254/(-24) and u.
12
Let j(r) = -r**3 - 3*r**2 + 3*r**2 + 43 + r**2 - r. Let k be j(0). Suppose 5*o + 8 = k. Calculate the smallest common multiple of 10 and o.
70
Let p = 323084/21 - 15388. Calculate the common denominator of p and -95/24.
168
Let i = -4 + 4. Suppose -2*n + 2 + i = 0. What is the least common multiple of n and 1?
1
Suppose 5*q + 18 = 2*d + 2*q, 3*q + 48 = 4*d. What is the common denominator of ((-1)/d)/(4/(-618)) and -9/28?
140
Let m = -16 - 8. Calculate the common denominator of 10/(-30) + 334/m and 1/8.
8
Let b be (98*(-3342)/4)/10. Let h = 8195 + b. Calculate the common denominator of h and 59/10.
10
Suppose 4 - 16 = -3*f. Let z be 1/5 + 72/(-10). Let h = f - z. Calculate the least common multiple of h and 10.
110
What is the common denominator of 30 and 3 + (-4 - (-69)/(-33))?
11
Find the common denominator of 124/18 - 18/(-12) and -3/10.
90
Let f(q) = -q**3 + 3*q**2 + 3. Let y be f(3). Let p(h) = 2*h - 1. What is the smallest common multiple of 2 and p(y)?
10
Find the common denominator of (-6)/(-72)*183/(-6) and 91/6.
24
Suppose 1 = n + 10. Find the common denominator of n/14 - 1/2 and 55/6.
42
Suppose -x = 3*u - 5*u, -4*x - 5*u = -39. What is the common denominator of (-1 - -44)*x/108 and -19/14?
126
Let l be 0/(-2) - (1 + -1). Suppose l = 2*x - 0*x - 14. What is the least common multiple of 11 and x?
77
Suppose -37 - 3 = -4*b. Suppose 4*w + 10 = 3*m, 2*m - 3*w - 2 = -3*m. Calculate the lowest common multiple of b and ((-7)/m)/(2/8).
70
Let k be (3 - 0) + (-264434)/40. Let q = 6610 + k. Find the common denominator of q and -7 + 6 + (-11)/2.
20
Let k = -10351/6360 + 2/795. Calculate the common denominator of 10/3 and k.
24
Let u(v) = -v**3 - 6*v**2 - 6*v - 7. Let t be u(-5). What is the smallest common multiple of -4*(-1)/t*-4 and 11?
88
Suppose -11 = 5*l - 16. What is the smallest common multiple of l and 3?
3
Suppose 18 = 4*z - 2. Suppose 5 = 5*p - z*q - 0, 5*p - 1 = q. What is the smallest common multiple of (-10)/5*(p + -1) and 2?
2
Let t(w) = -w**3 + 5*w**2 + 6*w - 8. What is the least common multiple of 14 and t(4)?
224
Let o be 0 + 7/41*-1. Let r = o - -363/205. Calculate the common denominator of r and 35/6.
30
Suppose 2*w - 5*a = w + 48, 5*w = a + 144. Let k be (10/(-5))/((-2)/w). Suppose -7*b + k = -3*b. What is the lowest common multiple of b and 11?
77
Let k(s) = 3*s**2 - 2*s. Calculate the common denominator of k(2) and -31/15.
15
Let f(v) be the third derivative of v**6/120 - 2*v**5/15 + 3*v**4/8 - v**3 - v**2. Calculate the least common multiple of 12 and f(7).
24
Calculate the common denominator of -35/18 and ((-6)/4)/((-33)/67).
198
Let h(v) = -2*v - v**2 - 2 + 5*v + v. Let i be h(4). Calculate the smallest common multiple of 8 + i + (1 - 4) and 11.
33
Let o be 0*(0 + 3/(-6)). Let d(h) = h + 5 + 3 + o*h**3 + h**2 + h**3. What is the lowest common multiple of d(0) and 10?
40
Let v = 193593/20 + -9677. Find the common denominator of v and 17/20.
20
Suppose -2*c + 3*c + q = -8, 0 = 3*c + 2*q + 22. Let w be (-2 - c)*(-27)/(-104). Let l = w + -457/52. Find the common denominator of l and 4/3.
12
Suppose -2*l - 38 = -4*m - 0*l, -3*l + 3 = 0. Suppose 2*c = 5*k + 29, k = 3*c - 1 - 10. What is the smallest common multiple of 2 + -1 - (-19 - c) and m?
110
Let m be (-4)/6 - (-26)/(-6). Let h(f) = f**3 + 3*f**2 - 8*f - 6. Let t be h(m). Calculate the least common multiple of 2 and -3 + 1 - 0 - t.
14
Suppose 2*v - 1 = -5*x - 2*v, -4*x - 2*v + 2 = 0. Let a(g) = g**3 + 7*g**2 + 7*g + 9. What is the smallest common multiple of 4*((-3)/(-2) - x) and a(-6)?
6
Calculate the common denominator of (-1138)/112 - (-40)/140 and 2/(-4) + 38/(-18).
72
Suppose -9 = -v + 5. Calculate the least common multiple of v and 6.
42
What is the common denominator of 95/6 and (-130)/30 - (-6)/4?
6
Let a = 7087/3 + -2383. Find the common denominator of (-2)/(-7) - 142/(-140) and a.
30
Let f = -86 - -105/2. Calculate the common denominator of 43/8 and f.
8
Let j = 2715546 - 521383537/192. Let i be (-6)/128*(-3)/(-9)*-5. Let n = j - i. Calculate the common denominator of -31/9 and n.
9
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