30
Let l = -5 - 5. What is the common denominator of (17/(-6))/(l/6) and -4?
10
Let z = 811/681 + -6438110/2043. Let c = 3146 + z. What is the common denominator of 29/8 and c?
72
Suppose -4*s - 3*x + 9 = 2*x, -4*x - 30 = -3*s. Let n(v) = -v**2 + 13*v + 8. Let c be n(s). Suppose -10 = 4*h - c. What is the least common multiple of h and 4?
20
Suppose 4*z - 243 = -1123. Calculate the common denominator of 31/6 and (z/(-21))/(-4)*3.
42
Let l = 35 + -91. What is the common denominator of (20/l)/((-1)/8) and (-2 + 10)*(-52)/(-24)?
21
Suppose -n + 4*n - 33 = 3*z, 3*z = 4*n - 40. Suppose 0 = 3*l - 2*v + n, -3*v - 8 = 4. Let f = l - -11. Calculate the least common multiple of f and 3.
6
Let l(b) = -b + 19. What is the least common multiple of 40 and l(-17)?
360
Let f = -4 - -9. Let v = 5 - f. Suppose 0 = 4*j - 4*q - 20, 5*j + v*q - 3*q - 27 = 0. Calculate the smallest common multiple of 10 and j.
30
Suppose 7*h - 60 = 2*h. What is the lowest common multiple of h and 22?
132
Let r(l) = 11*l**2 + l - 1. Let j = -1 - -2. What is the least common multiple of r(j) and 1?
11
Let p be -3 + 6 + (-2)/(-2). Suppose 2*x = -4*v + 16, 2 - p = -2*v. Let a(d) = d + 20. Calculate the smallest common multiple of a(0) and x.
60
Suppose 3*k + k = 4*v - 48, -5*v = -k - 68. What is the least common multiple of 8 and v?
56
Let s be (-2)/14 - 212/(-14). Suppose 2*l + 0*l + 2*d = 18, -4*l = -3*d - s. Let g(y) = 2*y**2 - 2*y. What is the lowest common multiple of g(2) and l?
12
Let w = 77 + -128. What is the common denominator of (w/15)/((-12)/(-15)) and 1/2?
4
Let t = 2900 + -29023/10. What is the common denominator of t and 1 - -1 - (-215)/(-42)?
210
Suppose -i + 8 - 1 = 0. Let s = -1 + 4. Calculate the lowest common multiple of s + (2 + 0)/2 and i.
28
Suppose a - 62 = -c - a, -5*c + 310 = 2*a. Let r be ((-6)/(-5))/(12/(-525)). Let p = c + r. Calculate the common denominator of p and 91/2.
2
Suppose c + g - 6 - 16 = 0, -c + 2*g + 28 = 0. Suppose d = -2*d + c. Calculate the least common multiple of 6 and d*(-2 + 57/12).
66
Let q be (6/(-4))/((-7)/(-14)). Calculate the common denominator of (-52)/q*15/(-48) and (5/(-24))/((-2)/51).
48
Let x(o) = o**3 - 12*o**2 + 10*o + 6. Let y be x(11). Find the common denominator of 29/20 and y/4*(-852)/210.
140
Let w be (1 - -2)*3/9. Find the common denominator of (190/12)/w*3 and (-54)/(-5)*(-105)/28.
2
Let n be (-10 + -2)/(4/6). What is the smallest common multiple of n/12*(-16)/3 and 4?
8
Suppose -5*q = -q - 5*c - 65, -c - 97 = -5*q. Suppose -4 = -t - 5*k - 0, 5*t - 2*k - q = 0. What is the least common multiple of t/(-6) - (-234)/27 and 3?
24
Suppose 0 = -5*w - n + 44, 2*w + 3*n = w + 6. Calculate the smallest common multiple of 5 and w.
45
Let v = -21 - -27. Suppose 3*t = v*t - 33. Suppose 2 = -3*y + 20. Calculate the lowest common multiple of y and t.
66
Let c = 1761 - 8843/5. What is the common denominator of 136/(-154) + (-8)/14 and c?
55
Let b = -12022/7 - -1712. Calculate the common denominator of b and -61/6.
42
Suppose 5*x = -2*q - 6, 0*q - 4*q + 18 = -5*x. Suppose -2*i - 11 = -5*i - u, -2*i + 6 = q*u. Calculate the lowest common multiple of i and 2.
4
Suppose -64 = 9*t - 5*t. What is the common denominator of (-20)/(-15)*(-246)/t and -87/8?
8
Find the common denominator of 51/4 and (-1)/10*234/4.
20
Suppose -2 = -2*a + 4. What is the least common multiple of 5 and a?
15
Suppose 5*b = 5*t - 175, 2*t - b = -2*t + 155. What is the lowest common multiple of 4 and t?
40
Let b = 29 + -19. What is the smallest common multiple of 10 and b?
10
Let n = -82661/3006 - 2/1503. Calculate the common denominator of n and -53/9.
18
Let x be (24/(-32))/(1/(-20)). Let n = x + -7. What is the least common multiple of 9 and n?
72
Let h = -15/472 - -19633/1416. Find the common denominator of h and -115/14.
42
Suppose -p = a + 2*a - 22, -3*p = -5*a - 10. What is the least common multiple of p and 2?
10
Let q = -18548 - -222445/12. Find the common denominator of 77/6 and q.
12
Let q = 487579/20 + -24385. What is the common denominator of (-60)/(-126)*(-14)/24 and q?
180
Let f(v) = v. What is the least common multiple of 4 - (-3)/((-9)/(-6)) and f(4)?
12
Let f = -1 + 5. Suppose 0 = f*a - 4*x, 0 = x + 3*x - 12. Suppose a*m + 2*m = 55. What is the least common multiple of m and 6?
66
Let v = -128583/22 + 5843. Let h = 47042 + -1787709/38. Let u = 10/19 - h. Calculate the common denominator of u and v.
22
Let f be 5/(0 - (-3)/12). Suppose -2*o = -o - f. Let s = -2 + 4. What is the smallest common multiple of s and o?
20
Let r(l) = l**3 + 3*l**2 - l - 1. Suppose -16 = -2*n + 2. Let g = 2 + n. Calculate the smallest common multiple of g and r(-3).
22
Let t = -1708631/137604 - -4/11467. What is the common denominator of t and 10/27?
108
What is the smallest common multiple of 6/(-16) - 35/(-8) and 11?
44
Let z(o) = 3*o + 51. Calculate the least common multiple of z(-6) and 30.
330
Calculate the common denominator of -19/8 and ((-99)/(-24))/(9/44).
24
Let f = 19 + -27. Let m(r) = r**3 + 10*r**2 + r - 10. Let c be m(f). What is the common denominator of -145/18 and 1/12*(-3 + c)?
36
Suppose 3*m - 16 = -m. Suppose -3*r + 0*n = 4*n - 23, m*r = -5*n + 29. Suppose 59 = 3*l - r. What is the smallest common multiple of 12 and l?
60
Suppose -5 = 2*k + 3. Suppose 5*j - 36 = 3*j + 4*d, 3*j - 38 = 2*d. Let v = k + j. What is the smallest common multiple of 8 and v?
24
Suppose 3*x + 6 = -0*a + 2*a, x = -5*a + 15. Suppose x = f + 2*f - 39. Suppose 1 = -3*k + c, -2*c = 4*k + k - f. Find the common denominator of k and -29/7.
7
Suppose -8*x - 12 = -4*x. Let k be (-2)/5*(-15)/x. Calculate the common denominator of -73/18 and -2 - (-134)/(-40)*k.
90
Let a(v) = 151*v + 1. Let f be a(1). Let o = -2865/112 - -9/112. Calculate the common denominator of o and (3/8)/((-8)/f).
8
Let l(r) = 7*r - 26. Let s be l(4). Let o(c) = -c**2 + c + 2. Let v be o(2). Suppose v = -f - s*f + 30. Calculate the lowest common multiple of 2 and f.
10
Calculate the smallest common multiple of 4 and 32/(-40) + 297/15 + 1.
20
Let s(r) = r**3 + 7*r**2 + 3*r - 2. Let q be s(-3). Let o = 47 - q. Suppose 4 = -3*w + o. Calculate the least common multiple of w and 10.
30
Suppose 21 - 51 = -10*z. What is the lowest common multiple of z and 18?
18
Find the common denominator of 739/30 + 16/(-20) and -103/6.
6
Let n(c) = -c - 4. Suppose 2*y + 2*b = -172, 5*y + b + 430 = -0*b. What is the least common multiple of (-2)/12 + y/(-12) and n(-6)?
14
Suppose 0 = -5*i + 5*u - 65, -2*i = 3*i + 5*u + 25. Let m = -6 - i. Calculate the least common multiple of 10 and m.
30
Suppose -3*y - 662 = 694. Calculate the common denominator of (-2)/(-4)*y/(-40) and 90/(-32) - -3 - 3.
80
Calculate the common denominator of -47 and ((-148)/(-15))/(10/25).
3
Let c(v) = -v**3 - v**2 - 5*v - 2. What is the least common multiple of 2 and c(-2)?
12
Let p = 0 + 2. Suppose p*a + a - 6 = 0. What is the smallest common multiple of a and 10?
10
Let t(s) = s + 1. Let f = 7 - -2. What is the lowest common multiple of 8 and t(f)?
40
Let v be 2*9/2 - 1. Let p = -8/83 - -653/747. Calculate the common denominator of p and 606/16*v/18.
18
Calculate the common denominator of (45/50)/((-6)/58) and 57/10.
10
Suppose 6 = 5*x - 2*x. What is the lowest common multiple of x and 12?
12
Calculate the common denominator of (2*1)/(16/(-23)) and 4 - (202/24 + 3).
24
Let a = -3 - -3. Let p(u) = u**2 - u + 9. Let n = -3 + 8. What is the smallest common multiple of p(a) and n?
45
Let m(y) = y**3 + 4*y**2 + 4*y + 3. Let s be m(-2). Let g = s - 1. Calculate the lowest common multiple of g and (-219)/(-12) - 2/8.
18
Suppose 0*a - 5*a + 25 = 0. Let h(b) = b**3 - 7*b**2 + 8*b - 6. Let s be h(a). Let y = s + 22. Calculate the least common multiple of y and 16.
48
Let q(j) = -j + 3. Let l be q(5). Let i = l + 8. Suppose -5*s - 2*d + 70 = 0, d + i = 2*s - 31. What is the smallest common multiple of 20 and s?
80
Let v(b) = b**2 - 6*b - 6. Let p be v(6). Let j = p - -11. Suppose n + 2 = -3*f, j*n - 6 = -2*f + 3*f. Calculate the least common multiple of 10 and n.
10
Let r = -7 + 5. Let s = r + 7. Suppose u = -s*z + 24, 3*z + 5*u - 3 = 29. What is the lowest common multiple of z and 6?
12
Let j(i) = -i**2 + 5. Suppose 148 = -5*s + 14518. Let w = s - 20157/7. Find the common