 - x. Find the common denominator of 514/(-96) + o/(-3) and 35/18.
144
Calculate the lowest common multiple of (-91)/(-5) + (-1)/5 and 24.
72
Let d = -39241/2756 + -8/689. Let o = -862781417/120456 + 65/30114. Let a = -7174 - o. Find the common denominator of d and a.
8
Calculate the common denominator of ((-24)/15)/((-55)/(-50)) and 29/25.
275
Let m = 397721/235195 + -24/2767. Let f = m - -5339/1020. Calculate the common denominator of f and 29/14.
84
Suppose -v - 51 = -3*b, b + 3*v - 34 = -7. Calculate the lowest common multiple of b and 27.
54
Suppose -t - 18 = 5*n, 0*t = -t - 2*n - 9. What is the smallest common multiple of (t/2)/(3/(-28)) and 2/13 + (-204)/(-26)?
56
Let a(k) = -k**2 + 6*k - 5. Let l be a(4). Suppose 0 = -o - 10 + 28. Suppose -15 = 3*v, d + v + o = -l*v. Calculate the least common multiple of 18 and d.
18
Let j = -267/2 - -140. Find the common denominator of ((-3)/((-24)/107))/(-6) and j.
48
Let q(n) = 81*n**3 + 2*n**2 - 1. Let s be q(-1). Let z = -351/5 - s. Calculate the common denominator of (-182)/35 - (-2)/(-10) and z.
5
Suppose -4*s = -0*s - 40. Calculate the lowest common multiple of 2 and s.
10
Let v(d) = d**2 + 6*d + 3. Let j(k) = -2*k**2 - 13*k - 6. Let c(b) = 4*j(b) + 9*v(b). Calculate the lowest common multiple of c(3) and 20.
180
Let x(l) = l**3 - 3*l**2 + 2*l + 4. What is the lowest common multiple of x(3) and 4?
20
Suppose 126 = 7*d - 14. Calculate the lowest common multiple of d and 20.
20
Let f be (2/(-3))/((-6)/27). What is the common denominator of 127/6 and ((-2)/f)/(8/21)?
12
Calculate the common denominator of (-3)/((-9)/(-52))*1/22 and -139/18.
198
Let b = -350 + 2761/8. Suppose -5*n - 13791 = 33314. Let r = n - -56381/6. Calculate the common denominator of b and r.
24
Suppose -8 = m + 2*y, 3*m + 5*y = 2*m + 7. Let o = -533/84 - -38/7. Find the common denominator of (-1)/2*(-218)/m and o.
36
Suppose 2*i - 40 = -2*i. Calculate the least common multiple of 25 and i.
50
Let o = 2313/40 - -1499/8. Let k be 1490/6 - -2*5/(-30). Let t = o - k. What is the common denominator of 3/2 and t?
10
Let s be (0 - (-8)/(-12))*-3. Suppose 20 = 7*d - s*d. Calculate the least common multiple of 8 and d.
8
Let w be -1 - 1 - 6717/(-3219). Let x = -581717/125541 + w. Let z = x - 1/117. Find the common denominator of z and -107/10.
90
Let v(g) = -g + 3. Suppose h + 3*h = -16. Calculate the least common multiple of 11 and v(h).
77
Let w = 2/1047 + -61783/5235. Let a = -20 - -12. Calculate the common denominator of w and 30/a*(-22)/5.
10
Let d be (-2 + 102/(-3))*-1. Let m = -15 + -9. Let f = d + m. What is the lowest common multiple of f and 12?
12
Suppose 1 = 4*u - 31. Calculate the lowest common multiple of u and 6.
24
Let z = 9 + -5. Suppose -5*d + 14 = 2*w, -4*d = -w - 5 - 1. What is the lowest common multiple of z and w?
4
Let o = -18477042742297/10175 - -1815925572. Let z = o - -2/925. Find the common denominator of z and -44/9.
99
Suppose f - 7 = -s, -3*s + 22 = s - 2*f. Let k = 0 + s. Suppose 21 + k = 3*w. What is the lowest common multiple of w and 10?
90
Suppose -4*s + 3*s = 1. What is the least common multiple of (3 - 18)*(-1)/3 and 4 - ((-1)/1 - s)?
20
Let i = 8001883/330 - 24248. Let s = -2/55 - i. Find the common denominator of s and 57/4.
12
Let n = 295/2 - 180. Find the common denominator of 33/(-22) - (640/(-42))/4 and n.
42
Let u = 2 - -10. What is the smallest common multiple of u and 16?
48
Let d = -15097/2485 - 24/355. What is the common denominator of -12 and d?
7
Suppose -3*j + 1 = 5*u - 23, -5*u - 4*j + 22 = 0. Suppose 0 = 4*k + 4*v + 4, 3*v - 4 = 4*k + 2*v. What is the lowest common multiple of u and (22 - 1) + 0 + k?
60
Suppose a + 11 = -2*w, -3*w - 3*a - 19 = a. Let g(s) = s**3 + 4*s**2 - 5*s + 6. What is the lowest common multiple of 18 and g(w)?
18
Suppose 0*k - 4*g = k - 15, 0 = -2*k - 5*g + 27. Suppose 0 = 8*s - 14*s + 66. What is the smallest common multiple of s and k?
11
Let b(u) = 2*u**2 - 3. Let m be (2/(-2))/(1/(-2)). What is the least common multiple of b(m) and 11?
55
Let z be 30/9*36/5. What is the common denominator of 85/(1 - 2 - 7) and (20/z)/((-4)/114)?
8
Let d = 48 - 46. What is the least common multiple of d and 24?
24
Let m = 2/5 + -251/15. Find the common denominator of m and 43/11.
33
Suppose 5*a + 5 = -4*t, 0 = 3*t + 4*a - 0*a + 5. Suppose -t*v = -10*v + 15. Suppose -19 - 5 = -v*j. Calculate the smallest common multiple of j and 8.
8
Let n = -166451/53988 + -1/4499. Let h = 1471/348 + 31/87. What is the common denominator of h and n?
12
Let z = -664/675 - -32/25. What is the common denominator of z and -97/4?
108
Find the common denominator of -19/6 and (-12)/32 - (-2145)/504.
42
Let r be 942/528 + (-1)/(-2). Let d = 1/88 - r. Find the common denominator of -59/10 and d.
110
Let g = 26 + -21. What is the least common multiple of g and 6?
30
Suppose -2*u + 3 = u. Let i be u/1 + 1/1. Calculate the lowest common multiple of (i - -3)*24/15 and 4.
8
Calculate the common denominator of (-2)/(-4)*69/30 and ((-284)/(-88))/(-2 - -1).
220
Let m(x) = x**2 - 8*x + 12. Let n be m(8). Find the common denominator of 47/5 and (n/(-8))/((-84)/160).
35
Let q = 0 + 0. Suppose -4*r = -q*r + 4*n + 12, -2*n - 8 = 3*r. What is the smallest common multiple of (2 + 2*-2)*r and 6?
12
Let v = 29 + -15. Suppose 3 = p - 11. Suppose -5*h = -25, u + 2*h = 10 + p. What is the least common multiple of u and v?
14
Let s = -2032/1677 + 105709589/10062. Let l = 10502 - s. Let w = -3497/2 - -35043/20. Calculate the common denominator of w and l.
180
Let z(f) = f**3 - 13*f**2 + 2*f - 17. Suppose -26 = -2*l + 3*k, -l + 5*k = -5*l + 52. What is the smallest common multiple of 4 and z(l)?
36
Find the common denominator of -13/10 and 2 - 134/(-16) - -1.
40
Let l be (-816)/(-290) - (-2)/4. Let p = 1/4 - -19/116. Let v = l - p. Calculate the common denominator of 38/9 and v.
90
Let h = -390143277/10 - -974578224381/24980. Let x = h + 3/1249. What is the common denominator of x and 11/8?
8
Suppose 2*i - 2*z = 30, -2*z = -2*i - 2*i + 58. What is the lowest common multiple of 20 and i?
140
Let h = 80 - 531/7. Let r = -121/14 + h. What is the common denominator of r and -5/2?
2
Let w be -2 - (1 - 5 - 2). Suppose -4 - 20 = -w*b. What is the smallest common multiple of b and 1?
6
Suppose -4*m - 5 - 7 = 0. What is the common denominator of 7/10 and (m/(-6))/(5/(-113))?
10
Find the common denominator of 82/15 and (-542)/(-84) - (2 + 12/(-7)).
30
Let q(a) = a + 6. What is the lowest common multiple of 3 and q(-3)?
3
Suppose -12*z - 32 = -14*z. Calculate the common denominator of (94/z)/((-7)/4) and 53/20.
140
Find the common denominator of 2 - -21*6/(-20) and -74/15.
30
Suppose 7 = 5*h - 8. Suppose 0 = -5*s - 4*t + 14, s = h*s + 5*t + 8. What is the lowest common multiple of 8 and s?
24
Suppose 3*t - 10587 = 4*t. Let o = t - -105969/10. What is the common denominator of 47/6 and o?
30
Suppose 5 - 31 = -5*o + 4*a, -4*a - 20 = -2*o. Suppose d + r = -r + 10, 3*d + 3*r - 27 = 0. What is the least common multiple of o and d?
8
Suppose 21 - 5 = -4*v. What is the lowest common multiple of (1/1)/(v/(-28)) and 2*11/4*2?
77
Suppose 5*x = -y + 2, -3*x - 3*y + 7 = 1. Let p(d) = -d**2 + d + 12. Calculate the lowest common multiple of 10 and p(x).
60
Let v be ((-42)/(-4) - 0)*6. Let z be 1/(-5) - v/(-15). Suppose -4*f + 38 = z*h - 3*f, -5*h + 39 = -3*f. What is the least common multiple of 5 and h?
45
Let m(p) = 17*p - 9. Let v be m(7). Suppose 26*y - 31*y + v = 0. What is the lowest common multiple of 8 and y?
88
Let i(m) be the third derivative of -m**4/24 + 19*m**3/6 + 2*m**2. Let y = -11 + 16. What is the smallest common multiple of i(10) and y?
45
Suppose -v + 113 = -5*j - 0*v, 5*j - 2*v = -116. Calculate the lowest common multiple of 16 and 6*(0 - j/6).
176
Suppose 2*m + 38 = 5*c, -44 = 4*c - 9*c - 4*m. Suppose 7 = 5*b - 13. What is the smallest common multiple of b and c?
8
Let y(k) = -k**2 - 5*k + 4. Let s be y(-6). Let b = -8 - s. Calculate the common denominator of 13/2 and (-2)/b - 354/(-99).
22
Calculate the common denominator of 41 and (-93)/(-30)*(-6 - -4).
5
What is the common denominator of 1*-1*(-776)/(-16) and -11?
2
Suppose 0 = 3*m + r - 85, m - 3*r + 0*r = 15. Calculate the lowest common multiple of 7 and m.
189
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