
6
Let j = 2/18027 - -859283/36054. Let f be 22857/45690 + 2/(-4). Let c = f + -540673/30460. What is the common denominator of j and c?
12
Let m = -19/11 + -755/66. What is the common denominator of m and -87/20?
60
Suppose m - 16 = -2*a, m = -a - 4*m - 10. Calculate the least common multiple of a and 20.
20
Suppose -2*q + 5 - 1 = 0. Let x be (1 - 21)*q/5. Calculate the least common multiple of ((-15)/(-4))/((-3)/x) and 8.
40
Let k(z) = -z**3 + 7*z**2 + 4*z + 6. Let c be k(6). Suppose 5*s = -s + c. Calculate the smallest common multiple of 8 and s.
88
Let d be -15 - -13 - -1*2. Let o = -24 + 14. Let q = d - o. Calculate the smallest common multiple of 16 and q.
80
Let b = 1 + 5. Suppose -2*i - 6 = 2*p, 5*i = -4*p - 7 - b. Calculate the common denominator of (-4)/p - 226/24 and 91/8.
24
Suppose 6*d - 12 = 2*d. Find the common denominator of 13/4 and (d/(-6))/((-9)/151).
36
Calculate the common denominator of (-1 - -2) + 398/(-96) and 81/2.
48
Let j = 1797 + -10849/6. What is the common denominator of (-2)/(-2) + (-83)/(-2) and j?
6
Suppose -2*w + 6*w = 16628. Let r be 2/(-12)*149434/6. Let z = r + w. What is the common denominator of -75/14 and z?
126
Let p(k) = 6*k**2 + 2*k. Suppose 5*f + 15 = 5*h, 3*f + 10 = 3*h + h. Calculate the smallest common multiple of 8 and p(f).
40
Let x = -71447/55731 - 1/18577. Calculate the common denominator of x and -29/8.
312
Let j(k) = k**3 - 2*k**2 - 4*k + 1. Let r be j(3). Suppose -5*m + 0*m + 5*x = 15, 0 = m - 2*x + 2. Calculate the lowest common multiple of 14 and r/m - (-35)/2.
126
Suppose -4*o + 48 = 4*o. What is the least common multiple of o and 14?
42
What is the common denominator of -91/6 and -3 + (-103)/(-8) + -4?
24
Let g = -12 - -37. What is the least common multiple of 30 and g?
150
Let x be 1/(0 - 4/(-177)). Let k = x + -44. What is the common denominator of k and 43/2?
4
Let a be (3 + -1)*(-165)/(-10). Let l be (-456)/(-10)*405/a. Let s = l - 560. Calculate the common denominator of s and 9/2.
22
Let f = -53 + 79. Calculate the lowest common multiple of 10 and f.
130
Let y = -66/7 - -23/2. Find the common denominator of y and -99/10.
70
Suppose -j = -19 + 7. Calculate the least common multiple of 5 + (-1 - -3) + -1 and j.
12
Let c(v) = -v**2 - 6*v + 1. What is the lowest common multiple of (7 + -11)/(8/(-10)) and c(-6)?
5
Suppose r = -f + 49, 4*f + 2 + 2 = 0. What is the common denominator of 101/6 and 20/r*85/4?
6
Find the common denominator of ((-2)/4)/((-64)/408) and (3549/60)/(-7) + 3.
80
Suppose 4*p = -0*p + 8. What is the common denominator of -113/6 and p/16*122*1?
12
Suppose -47*x = -12*x - 140. Suppose g - 4*w + 5 = -11, 0 = -5*g + w + 15. Calculate the least common multiple of x and g.
4
Let f = 4589/378 + -598/63. What is the common denominator of f and -58/27?
54
Let r be -1 - (1502/(-496) + -2). Let g be 818/124 - 6/12. Let f = r + g. Find the common denominator of -23/7 and f.
56
What is the common denominator of -15/4 and ((-5)/(-30))/(-1*(-3)/339)?
12
Let m = -616667/30 - -20558. Calculate the common denominator of m and 23/3.
30
Let v(t) = 353*t - 9. Let h be v(7). Let d = h - 19769/8. What is the common denominator of -43/10 and d?
40
Let d = 418 + -598. Calculate the common denominator of 21/2 and 12/(-15) + 1006/d.
18
Suppose -3*l = 2 - 8. Calculate the common denominator of (-73)/(-198) - l/(-9) and 238/72 - 12/54.
132
Find the common denominator of -2 + (-1)/1 - 570/(-165) and -39/11.
11
Let f = -1/682 - 12271/3410. Calculate the common denominator of (-3)/((-9)/8) + (1 - -1) and f.
15
Let g(c) = -c + 2*c + 0*c + c**2. Let w be (-4)/6 + (-32)/(-12). What is the least common multiple of g(w) and 20?
60
Suppose 4*s - j - 130 = 0, -2*s - 3*j = -6 - 66. What is the least common multiple of 3 and s/(-11) - (-12 - -1)?
24
Suppose x = 6*x - 30. What is the smallest common multiple of 13 and x?
78
Let g(m) = -m**2 + 11. Suppose -4*l = -5*j - 32 + 2, -3*j + 16 = l. Calculate the lowest common multiple of l and g(0).
110
Let i be -1 + 0 + 1 - 30. Let d = -18 - i. Calculate the least common multiple of 20 and d.
60
Let y be ((-6093)/(-60))/((-6)/68). Let o = y - -1148. Find the common denominator of o and 39/2.
10
Suppose -120 = -3*f - 2*f. Calculate the least common multiple of f and 22.
264
Let h = -8173/564 - -309/47. Let c be (-438)/(-2) + 2 - -1. Find the common denominator of h and c/16*4/(-7).
84
Let a(p) = 2*p**2 + p - 2. Let d be a(-2). Calculate the smallest common multiple of 1 and (-6)/d*40/(-12).
5
Suppose 3*w + 87 = 15. What is the common denominator of 119/10 and w/32 + 146/(-24)?
30
Let q(x) = x**2 + 21*x - 10. Calculate the common denominator of q(-22) and (-226)/(-48) + 1/(-3).
8
Suppose 0 = 7*r - 4*r - 60. Calculate the smallest common multiple of 22 and r.
220
Let z = -24462 - -538271/22. Let i be (-2)/(-8) - (-163742)/(-32). Let o = 5119 + i. Find the common denominator of o and z.
176
Let u = -30 + 46. Calculate the lowest common multiple of 16 and u.
16
Suppose 3*t - 208 = 26. What is the common denominator of (-2)/9 - (-493)/72 and (t/10)/((-24)/(-15))?
8
What is the common denominator of ((-57)/15)/((-30)/(-175)) and 37/10?
30
Let t(o) be the second derivative of o**4/12 - o**3/3 - o**2/2 - o. Let n be t(3). Calculate the lowest common multiple of 9 and (-1 - -3)/(n/3).
9
Calculate the least common multiple of (-3)/((-9)/24)*1 and 50.
200
Suppose 0 = 5*h - 4*h - 4*c - 25, -2*h + 38 = -4*c. What is the smallest common multiple of h and 0/2 + 6/1?
78
Let b be 7719/(-8)*(18 + -16). Let r = b - -1950. Find the common denominator of -1 and r.
4
Let n be 2/5 + 11706/(-15). Let v = n + 381. Find the common denominator of 43/10 and (2/(-24))/(3/v).
60
Find the common denominator of -59/5 and (-5)/((-100)/8) - 0.
5
Let v(w) = w**3 - 4*w**2 + 2*w - 4. Let l be v(4). Suppose -l*o + 24 = -8. What is the smallest common multiple of 10 and o?
40
Let s = -535 - -3235/6. What is the common denominator of s and -137/6?
6
Let o = 33475116394/959 - 34906266. Let p = 14/137 + o. Find the common denominator of 31/7 and p.
7
Let c(w) = w**3 - 4*w**2 + 3*w + 1. Let q be c(3). Calculate the common denominator of (-1 + 1)/(-2 + q) and (-16)/56 + (-622)/(-70).
5
Suppose 3*m + 20 = 14. Suppose -2*k + 5*i - 1 = -6, -3*k + 40 = -i. What is the lowest common multiple of m*(k/(-6) - 2) and 8?
72
Let w = 15 - 9. Let b be (-19)/(-3)*(-18)/(-6). What is the smallest common multiple of w and (2/5)/(b/380)?
24
What is the common denominator of (4/(-5))/((-24)/380) and (2/1)/((-12)/137)?
6
Suppose 821 = c - 2*n, 3*c - 2454 = 3*n - 0*n. Let o = c + -1701/2. What is the common denominator of o and 91/12?
12
Let l = -27 - -45. Suppose -l = -0*q - 3*q. Calculate the lowest common multiple of q and 1.
6
Let t = -192/347 - 1865/23596. Find the common denominator of -29/6 and t.
204
Let g be 1 + (2 - 1 - 1). What is the common denominator of 185/100 - (g + -2) and 83/12?
60
Suppose -p + 60 = 3*p. Suppose 0 = i - 6*i + p. Calculate the least common multiple of i and 3.
3
Let y(s) = s - 56. Let t be y(0). Find the common denominator of (-6)/21 + (-212)/t and 40/3.
6
Calculate the common denominator of -117/14 and 3 - (2 - 178/36).
126
Let s = -5627 - -84488/15. Find the common denominator of 83/8 and s.
120
Calculate the common denominator of 67/110 and -2 - 131*3/(-18).
330
Let f = 72373/8 + -9058. Let s = -10/3 + 32/33. Calculate the common denominator of f and s.
88
Suppose 0*a + 72 = 3*a. Let x = 189 + -539/3. Calculate the common denominator of a and x.
3
Let w = -132719/43204 + 3/6172. What is the common denominator of w and -29?
14
Let g be (-372)/(-48) + (-2)/(-8). Let o = -7 + g. Suppose -l - 5*i = -7, 5*l - 8 = 4*i - 2*i. What is the smallest common multiple of o and l?
2
Let q be (-220)/(-6) - 3/(-9). Let v = q + -74. What is the common denominator of 9 and v?
1
Let u be (-47)/((-10)/4 + 2). Suppose 2*k - 2*p = 36, -k + 4*p + u = 4*k. Calculate the lowest common multiple of k and 22.
22
Let t = -633792/11 + 57562. Let u = 5957/110 + t. Calculate the common denominator of u and 67/10.
10
Let o = -1 - 25. Calculate the common denominator of 16/9 and o.
9
Let x = -63/4576 + 1/416. Let w = 573/88 + x. What is the common denominator of w and 23/22?
22
Suppose 11441 = 4*g + 3501. Let c be 2 + 