 0. Calculate the smallest common multiple of 14 and z.
84
Let c(g) = 3*g + 2. Let f be c(7). Suppose -2 = 5*a - 3*a - 4*v, 4*v - f = -a. Calculate the least common multiple of -2 + 0 + a - 0 and 7.
35
Let l = 28 - 23. What is the lowest common multiple of l and 11?
55
Let i(q) = -q**3 + 3*q**2 + 5*q. What is the smallest common multiple of 7 and i(-2)?
70
Suppose a = -3*a + 20. Suppose 6 = -3*g + 5*g. What is the lowest common multiple of g and a?
15
Let u(v) = -7 + v**2 + 1 - 2*v**2 + 7*v. Calculate the least common multiple of 8 and u(4).
24
Calculate the least common multiple of (-60)/8*16/(-12) and 8.
40
Let p = -36 + -19. Calculate the common denominator of (p/(-24))/((-3)/6) and -37/2.
12
Let d = -1 - -2. Let b be (-5 + (-2 - d))*6. Find the common denominator of -17/22 and (194/b)/((-6)/18).
88
Suppose k + 4*k - 20 = 0. Let q(o) = o**3 - 9*o**2 + 12*o - 10. What is the lowest common multiple of k and q(8)?
44
Let b(q) = -2*q + 93. What is the lowest common multiple of b(27) and 54?
702
Let s be (6/(-4))/((-21)/308). Suppose 0 = -y + 2*y - s. What is the smallest common multiple of y and 12?
132
Suppose -3*x + 31 = -x + c, -3*x + 44 = 2*c. Calculate the smallest common multiple of x and 20.
180
Suppose -6*k + 220 = 16*k. Suppose -2*j - 26 = -4*j. Let g = j + -6. What is the least common multiple of g and k?
70
Let x = -2/44251 - 3672773/1327530. What is the common denominator of -71/117 and x?
1170
Let m = -3121/20 - -849/5. Let b = -124829/16 - -7806. Find the common denominator of b and m.
16
Let m = -6 - -12. Suppose -g + m*g - 10 = 4*z, -z = 0. What is the lowest common multiple of (-8)/6*30/(-4) and g?
10
Let i = 9 - 4. Suppose -m + 0*m - a = -5, -3 = -m - 3*a. Calculate the smallest common multiple of i and m.
30
Suppose -m + 4 = -4. Suppose -1 = -w + 1. Suppose -2*h - 18 = -w*k - 0, -k + 17 = -3*h. What is the least common multiple of k and m?
40
Let n be (-47)/(-9) - (-2)/(-9). Suppose -n*p + 20 = -30. Calculate the lowest common multiple of 20 and p.
20
Let t(n) = -n - 3. Let w be t(-7). Suppose f + w*k = 5*f - 48, -5*k - 51 = -4*f. Calculate the least common multiple of f and 8.
72
Find the common denominator of -61/8 and ((-18)/(-44))/((5 - 5) + 1).
88
Let a = 44161779/44 - 4024643/4. Let b = -2483 - a. Calculate the common denominator of 83/8 and b.
88
Let f = -182547/16 + 11405. Find the common denominator of f and -1/9.
144
Let v = 1/718 - -12559/4308. Find the common denominator of -43/4 and v.
12
Let h(s) = s**3 + 5*s**2 - 2*s - 6. Let w be 9 + 0/(1/(-1)). Let n = w - 1. Calculate the smallest common multiple of h(-5) and n.
8
Suppose 2*g + 3*b - 31 = 0, -3*g + 8*g = -4*b + 60. What is the lowest common multiple of 36 and g?
72
Let h(i) = 19*i**3 - i. Let g be h(1). Let q = g + -8. What is the least common multiple of q and 12?
60
Suppose 5*r + 8907 = 4*g, -3*g + 5340 = -3*r - 2*g. Let f = r - -10607/6. What is the common denominator of f and -97/14?
42
Let m = -514 - -1051/2. Calculate the common denominator of m and 29/5.
10
Suppose -3*h = -4*d - 129, -165 = -4*h + 5*d + 7. Suppose h = 3*t + 19. Calculate the least common multiple of -2*(-10)/5 - -5 and t.
72
Let k = 1 + 14. Calculate the least common multiple of 5 and k.
15
Suppose 19 = 3*b - 2*h, 5*b + 2*h - 53 = -0*b. Suppose o = 1 + 1. What is the least common multiple of -1 + b + 0/2 and o?
8
Let b = -31 - -42. Calculate the smallest common multiple of 75 and b.
825
Suppose 2*f = 6*f. Suppose f = -5*n - 5*l - 10, 4*n + 0*l - l - 7 = 0. Calculate the least common multiple of n and 6.
6
Suppose -2*a - p + 18 = 0, -3*a - p = -2*p - 22. Calculate the least common multiple of a and 12.
24
Let s be (-3931)/(-30) - 4/20. Let t = s - 6475/48. Find the common denominator of t and 21/8.
16
Let p(k) = -13*k + 0*k**3 - 6*k**2 - 3*k**3 + 19*k**2 + 2*k**3 + 13. Calculate the lowest common multiple of p(12) and 8.
8
Suppose 6 = -d + 18. Calculate the lowest common multiple of d and 14.
84
Let x = 12 - 8. Suppose 0 = -x*f + 6 + 6. Calculate the smallest common multiple of 2 and f.
6
Let z(g) = -3*g + 6. Calculate the smallest common multiple of 4 and z(-6).
24
Let r = 42032/5 - 3660259/435. Let g = r + 105/116. Let v = 1/1569 + -108275/21966. Calculate the common denominator of v and g.
84
Let d be (-18)/8*8432/(-1). Let n = d - 227537/12. Find the common denominator of 67/18 and n.
36
Let a = -7 - -6. Let l(i) = -11*i**3 + i**2 - i - 1. Suppose -13 = 4*q - 45. What is the least common multiple of l(a) and q?
24
Suppose -6*c = -3*c - 24. Suppose 0*t + c = -2*t. Find the common denominator of 17/9 and 354/4*t/(-30).
45
Let z = -34 - -21. Let u be 2/4 + (-235)/(-10). Let q = z + u. What is the smallest common multiple of 9 and q?
99
Let b = -1030 - -4183/4. Let u = -2/231 - 7145/1848. What is the common denominator of b and u?
8
Let q(o) = -o**2 - o + 8. Suppose t + 3*k + 1 - 10 = 0, t - k = 21. Calculate the lowest common multiple of q(0) and t.
72
Calculate the common denominator of -28/11 and (-151)/18 - (-7)/14.
99
Suppose 3*n + 4*f - 64 = 0, -f = -5*n + 82 + 17. Let v(w) be the first derivative of 3*w**2/2 + w - 1. Calculate the smallest common multiple of n and v(5).
80
Let d be (-1691)/315 + 6/3. Let q = 2/63 - d. What is the common denominator of 4/6 - (-19)/9 and q?
45
Let o(p) = -p**3 + 2*p**2 + 4*p - 2. Let d be o(3). What is the common denominator of d - -1 - 58/28 and -15/2?
14
Suppose 4*f + 2*s = -1323 + 4279, -3689 = -5*f - s. Let l = 1072565/14 - 77345. Let u = l + f. Find the common denominator of u and 65/6.
42
Let m = 55872/11 - 5075. Find the common denominator of -13*((-8)/14 + 1) and m.
77
Suppose 2*x - 20 = 2*c + 4, 2*x - 4*c - 24 = 0. Find the common denominator of -57/8 and (-762)/96*x/9.
24
Let g = -41 + 5. Let d = 70 - 114. Find the common denominator of d and -2 + 14*(-2)/g.
9
Let u(h) = -2*h**3 - 6*h - 10. Calculate the smallest common multiple of u(-2) and 10.
90
Let a = 7 - 6. Calculate the common denominator of (a/(-7))/((-7)/182) and 37/10.
70
Let k = 1078623 - 6504877/6. Let h = k - -5498. What is the common denominator of h and (3 - 1)*(-58)/(-48)?
12
Calculate the common denominator of -30/7 and (-1)/(-9) - (-392)/1332.
259
Find the common denominator of 11/40 and (-3)/(-6 - -3)*495/100.
40
Let t(z) = -z**2 + 6*z + 8. Calculate the lowest common multiple of 14/49 + 61/7 and t(6).
72
Let q = -27 - -19. Calculate the common denominator of 12/7 and 134/q - (-1 - 1).
28
Suppose -20*l = 10*l - 210. Suppose -2*i + i = v - 1, -2*i + 37 = -5*v. Let n = 1 + i. What is the least common multiple of l and n?
7
Suppose 0 = 5*q + 8 - 63. Suppose 3*u - x - 22 = 0, -3*u + u - 5*x = -26. Suppose -m - 1 = -u. What is the least common multiple of m and q?
77
What is the least common multiple of 18 and 5 - (-4)/(-4)*1?
36
Let f = -10 + 11. Find the common denominator of -151/6 and 3 + f/((-16)/34).
24
Find the common denominator of -27/8 and (-2 + 75)/(175/(-5)).
280
Suppose h - 3 = -1. Suppose 4*g = -h + 22. Calculate the lowest common multiple of g and 6.
30
Let o be 3/(-5) - 2/5. Calculate the lowest common multiple of 2 and (5 - o) + -8 + 5.
6
Calculate the common denominator of 26/7 and 292/(-16) + -3 + -3.
28
Let b(p) = -p**2 + 10*p + 16. Let d be b(11). Suppose 8564 = -d*z + z. Let j = z - -6484/3. What is the common denominator of j and 47/7?
21
Let g(r) = 2*r - 14. Let l = 4 + 3. Suppose l*d + 5*x + 6 = 4*d, 0 = 2*d - 3*x - 15. What is the least common multiple of d and g(8)?
6
Let f be (2 - (-2058)/(-15))*1. Let i = 134 + f. What is the common denominator of i and -79/6?
30
Let j be (36 + -1)*(1 - -1). What is the common denominator of j/(-24)*(-2)/(-7) and 127/6?
6
Let m = -642634/1218282983 + 2/156773. Let w = m - -536263/124336. What is the common denominator of 43/6 and w?
48
Let z = 47 - 27. Calculate the least common multiple of 18 and z.
180
Let k = 0 + 4. Let o be (-1 - 1) + 0 + 12. Let s(z) = -z**2 + 12*z - 2. What is the lowest common multiple of s(o) and k?
36
Let i(a) = a - 4. Let z(t) = -t**3 - 5*t**2 - 3*t - 6. Let w be z(-5). What is the lowest common multiple of 5 and i(w)?
5
Let u = 2996 - 32913/11. What is the common denominator of 109/10 and u?
110
Let k = -145503/112 + 1299. Calculate the common denominator of 137/18 and k.
1008
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