16
What is the common denominator of 31/8 and (-9)/12 + 469/56?
8
Suppose 0 = 5*l - 4*z - 19 - 73, -3*z = -4*l + 73. Calculate the smallest common multiple of 18 and l.
144
Suppose -2*u = -0*i + i, -5*u = -5*i + 30. Calculate the least common multiple of (u/6)/(2/(-36)) and 8.
24
Let d be 12/8*4/3. Suppose -3*b + v = -0*v + 17, -5*v = -d*b - 33. Find the common denominator of ((-84)/80)/(6/b) and 1/2.
10
Calculate the common denominator of ((-3)/(29 - 2))/(9/168) and 9.
27
Let m = -3 + 8. Suppose 5*d = 2*f - 6 - 2, -5*d = m*f - 20. What is the smallest common multiple of f and 18?
36
Suppose 0*k = -4*k, 21 = 3*y + 3*k. Let o = -18 + y. Let h = -7 - o. Calculate the smallest common multiple of 4 and h.
4
Let r = 10621 + -233713/22. Let h be 395/2 + 6/12. Calculate the common denominator of (-71)/h + (-6)/(-27) and r.
22
Let z = 5 - 3. Calculate the common denominator of (-198)/20 + (-4)/10 and z/12*(-21)/(-4).
40
Let p be ((-1)/(-3))/((-1)/(-15)). Find the common denominator of 69/8 and 4/(p/(40/(-44))).
88
Find the common denominator of 0 + (-465)/54 - -2 and (-22)/(-4) - (-1)/1.
18
Let v(j) = -j - 1. Let l be 0 + -1 + (4 - -1). Suppose 0 = 4*b - q - 19, 2*b + 2*b = l*q + 28. What is the lowest common multiple of v(-3) and b?
4
What is the common denominator of 0/(-4*1) - 27/(-12) and 13/4?
4
Calculate the common denominator of (-51)/1 - ((-44)/(-8) - 6) and -53/4.
4
Let p = -9 - -16. Suppose -p = -b + 9. Calculate the smallest common multiple of 20 and b.
80
Suppose -2*s + 509 = -4535. Let g = -45373/18 + s. Calculate the common denominator of 69/2 and g.
18
Calculate the common denominator of -5/14 and 2/(-3) - (-70)/(-8).
84
Let u = 256/5 + -45. Find the common denominator of -99/8 and u.
40
Let c = -31 - -229. Calculate the common denominator of (-179)/c + 2/9 and (-4)/6*30/(-88).
22
Let c be (-2)/6 + 4288/12. Let d = 4/20601 + 30345257/82404. Let v = c - d. Find the common denominator of 97/20 and v.
20
Calculate the least common multiple of 21 and 3/(-26)*-62 + 52/(-338).
21
Let c = -5305/8 - -662. Find the common denominator of 79/20 and c.
40
Let p(w) be the second derivative of 0 - 2*w - 11/6*w**3 + 0*w**2. Calculate the least common multiple of p(-1) and 10.
110
Let i be (-3)/(4 - 1) - 9. Let u be 2/3 - 68/3. Let a = i - u. Calculate the lowest common multiple of 12 and a.
12
Let s = 1 - 1. Suppose s = o - 3*m - 10, -2*m + 3*m = -4*o + 14. Suppose x + 21 = o*x. Calculate the smallest common multiple of x and 5.
35
Let l = 5/1146 + 2514/191. What is the common denominator of l and -71/9?
18
Let a be 15/(-35) + 6449/15211. Let f = a + -110663/34768. Let q = 5149/234 - -19/117. What is the common denominator of q and f?
48
Suppose 3*n + n - 44 = 0. Let w(p) = -p**2 - p. Let s be w(-3). Let q = -4 - s. What is the lowest common multiple of q and n?
22
Let s(o) = o**2 + 4. Calculate the smallest common multiple of 18 and s(-4).
180
Calculate the common denominator of -107/14 and 3/(-6) - 69/20.
140
Suppose 2*v = 2*c + 22, v + 2*c - 17 = -0*c. Suppose -2*u - 2 + 4 = 2*r, -5*u - r = -v. What is the common denominator of -43*(6/(-10))/u and 34/5?
5
Suppose 4*g + 2*x = -1896, 0 = 4*g - 2*x - 2*x + 1872. Let n = g - -3327/7. What is the common denominator of n and 89/10?
70
Let j(b) = -3*b + 1. Calculate the lowest common multiple of 8 and j(-2).
56
Let y(t) = -t**3 - 7*t**2 - 2*t - 3. What is the least common multiple of y(-7) and 5?
55
Let j be -1*1 + 17 + -14. Let n(k) = 16*k. Let c be n(5). Suppose -j*r - 2*r + c = 0. What is the smallest common multiple of 22 and r?
220
Let i(g) = -g**3 - 6*g**2 + 6*g + 3. Let c be i(-7). Suppose -4*w - 4*d + 62 = c, 4*d = 12. Calculate the smallest common multiple of 4 and (-9)/(-2 + w/8).
12
Let o be -2*94/340*-1. Let s = o + -176/17. Find the common denominator of s and -58/3.
15
What is the lowest common multiple of 6 and 3 + 0 + 3 - 0?
6
What is the common denominator of (-190)/152*316/10 and (-66)/(-14)*(-2)/12?
14
Suppose -4*i = u - 22, -15 - 7 = -u - i. Calculate the least common multiple of 90 and u.
990
Let c(k) = 5*k - 2. Let o = -1 + 4. Let l(w) = -26*w + 10. Let i(g) = o*l(g) + 16*c(g). Calculate the lowest common multiple of 8 and i(5).
8
Let y(g) = 2*g - 7. Let r be y(5). Let s(m) = 2 - 3*m**3 + r*m**3 + m**3 - m + 5*m**2. Calculate the smallest common multiple of s(-5) and 11.
77
Let l be 454/(-679) - 4/(-6). Let p = l + 120215/16296. Find the common denominator of -2*1 + 232/40 and p.
40
Suppose -2*a = -7*a - 4*u + 86, -a - u + 17 = 0. What is the smallest common multiple of a and 96?
288
Suppose 0 = 3*n - 3*r - 24, -5*n + 35 = 4*r - 41. Let y = 17 - n. What is the least common multiple of 8 and y?
40
Let h = -2 - -4. Calculate the least common multiple of (-5 + 1)/((-1)/h) and (-76)/(-18) + 4/(-18).
8
Suppose 4*z - 38 + 10 = 0. What is the smallest common multiple of z and 10?
70
Let x(t) = -t**3 - 6*t**2 - 7*t - 9. Let k be 8/36 + (-112)/18. Let c be x(k). Calculate the least common multiple of 1/(-5) + c/15 and 3.
6
What is the smallest common multiple of 1 + 24/(-15)*(-25)/2 and 9?
63
Let f be 53566752604/39845840 + (-1)/2. Let v = -30/498073 - f. Let n = v + 1346. What is the common denominator of -59/14 and n?
140
What is the common denominator of 45/2 and (-1 - 57/(-60))*57?
20
Let p be (2 - (3 + -3))*8. Suppose 0 = -4*k - 3*t + p, 2*k = 7*k - t - 20. What is the least common multiple of k and 22?
44
Let q(p) = p**2 + 7*p + 6. Let f be q(-6). Suppose -5*j - 3*s = -4*s - 29, f = 4*j + 2*s - 26. What is the least common multiple of 2 and 3/j*-2 + 3?
2
Let f be ((-2010)/(-4))/(3 - -3). Let m = -249/4 + f. Calculate the common denominator of -39/10 and m.
10
Let j be 3/(-16)*(-141254)/6. Let b = -4408 + j. What is the common denominator of -89/14 and b?
112
Suppose 0 = 3*g + x - 37, -4*g - 10 = -5*g + 2*x. What is the least common multiple of 34 and g?
204
Let z = -28 + 53. Suppose 4*l - 16 = -f, 2*f - z = -2*f - 3*l. Suppose 0 = -2*u + f - 0. What is the lowest common multiple of u and 11?
22
Let o be ((-1)/(-14))/(270/(-4179)). Let d = o - 9/20. Calculate the common denominator of d and -95/8.
72
Let p be -2 + 0/2 - 0. Suppose 4*l + 1 = 17. Calculate the least common multiple of l and (p - 3)*(-6)/5.
12
Let p = -11904 - -261999/22. Find the common denominator of p and -123/10.
110
Let q(n) = n**3 + 4*n**2 - 6*n + 3. Let s be -2 + 1/(-2)*6. Calculate the smallest common multiple of q(s) and 4.
8
Let i = -45/2 - -4. Calculate the common denominator of i and (-422)/(-60) + (-1)/(-6).
10
Let b(r) = -28*r**3 - r**2 + r + 1. What is the least common multiple of 9 and b(-1)?
27
Let c = -36735/4024 + 2/503. Calculate the common denominator of -19/6 and c.
24
Let j = 539 + -1565/3. What is the common denominator of j and -26/3?
3
Let j be 150/(-4)*(-12)/9. Suppose m + 4*m - j = 0. Calculate the least common multiple of 9 and m.
90
Let k = -23809/8 + 2968. What is the common denominator of k and 145/12?
24
Let t = 426749/22 + -19393. Find the common denominator of t and -23/48.
528
Let u = 2315/1242087 + 2/3113. Let y = u - -21145/798. What is the common denominator of y and -40/11?
22
Let v = 71307882195841683/4561371892330 - -60/782396551. Let h = v - 839678/53. Let j = h - -1032/5. Find the common denominator of j and -55/16.
176
Let x = -3395/282 + 41/47. Find the common denominator of x and (-678)/4*2/(-30).
30
What is the least common multiple of 1 and ((-2)/2 - -2) + 1?
2
Let b be 108/(-20) - 4/(-10). Let h(y) = -y**3 - 5*y**2 + y + 5. Let w be h(b). Suppose 3*q - 4*q + 1 = w. What is the smallest common multiple of 3 and q?
3
Let q be 4/(-10) - 34/(-10). Suppose 4 - 16 = -q*i. Suppose 24*c - 34*c + 20 = 0. What is the least common multiple of i and c?
4
Suppose -4*d + 54 = -10. What is the lowest common multiple of d and 2?
16
Let y = 1531/640 + 1/128. Calculate the common denominator of y and 41/9.
45
Suppose -28 = -5*s + 82. Calculate the smallest common multiple of s and 6.
66
Suppose g + 4*g - 155 = 0. Let d = 47 - g. Suppose 3*m = -2*l + 38, 0*l - 3*l + 58 = 4*m. Calculate the lowest common multiple of l and d.
176
Let w = -12 + 16. What is the lowest common multiple of 3 and w?
12
Let r(k) = k - 2. Let d = 47 + -33. Calculate the smallest common multiple of 6 and r(d).
12
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