ppose -30 = -6*q + 54. Let u be (-82 + 1)/(6/(-4)). Let g = u + -38. Calculate the lowest common multiple of q and g.
112
Let x(i) = -i - 1. Let m(k) = -k - 8. Let t(y) = m(y) - 5*x(y). Let j be t(-9). Let w = -27 - j. What is the least common multiple of 6 and w?
12
Let l(t) = t + 2. Let u be l(-3). Find the common denominator of (-83)/(-15) - u/(-5) and 113/10.
30
Let v = -16293/16 - -1019. Let r = v - 355/16. What is the common denominator of r and 21/16?
16
Let g = -8 - -14. Suppose 0*u = -u + 4*a, 5 = u + a. Suppose u = 3*p - 2. What is the smallest common multiple of p and g?
6
Suppose d - 3*y - 8 = 0, d - 3*y - y = 10. Let u(q) = -3*q + 4. Let n = -9 - -3. What is the least common multiple of u(n) and d?
22
Let f = -34921/6 + 5798. Let u = 9611/6 - 1590. Find the common denominator of f and u.
6
Let v(b) = 8*b**2 + 3*b - 1. Let y be v(2). Suppose -4*o = 123 + y. Find the common denominator of 95/2 and (-146)/o - (1 + 0).
20
Let n = 3 - -1. Let s be ((-105)/n)/(990/1225). Let l = -5/264 + s. What is the common denominator of l and 25/7?
14
Let t = -1621 - -3357/2. Let v = 55 - t. What is the common denominator of v and -32/11?
22
Suppose -2*m + 6*m = 0. Find the common denominator of 244/16*(m + 1) and -121/6.
12
Suppose 0*u = -u. Suppose 0 = -4*b - 2*q, u*b + 5*b + 5*q = -10. Suppose -g - 6 = -b*g. What is the least common multiple of 14 and g?
42
Let n(g) = -2*g - 1. Let f be n(2). Let b = f - -7. Calculate the lowest common multiple of (1*8)/2 - b and 6.
6
Let u(t) = -t + 66. Suppose y = 4*o - 1 - 19, y = -2*o + 10. Let b be u(y). Let l = b + -46. Calculate the lowest common multiple of 22 and l.
220
Calculate the smallest common multiple of ((-5)/3 - -1)/((-2)/18) and 36/30 - (-2)/(-10).
6
Suppose 6 + 0 = 2*n. Calculate the least common multiple of n - (-3)/(5 - 2) and 3.
12
Suppose -2*a = -5*k + a + 30, -k + 3*a - 6 = 0. What is the least common multiple of k and 11?
99
Suppose 217 = 3*s + 13. What is the smallest common multiple of 4/12*(s + -2) and 22?
22
Let t = -6 + 9. Suppose -2*h - 8 = 0, -y + t*h + 32 = -0*h. Suppose -4*b + y + 14 = 5*v, -4*v + 2*b + 48 = 0. What is the smallest common multiple of 5 and v?
10
Suppose 4*y = -y + 20. What is the least common multiple of 12 and y?
12
Let f = -53354/10215 + 1/1135. Let s = -9169/6 - -5558/3. Let w = s + -306. What is the common denominator of w and f?
18
Suppose 0 = -0*g - g - 4. Let m = g - -14. Calculate the lowest common multiple of 11 and m.
110
Let f = -86 - -97. Calculate the least common multiple of 9 and f.
99
Let m = -6169/6 - -1020. Let y = -302 + 2749/9. Calculate the common denominator of m and y.
18
Let b be (-150)/8 + 2/(-8). Let m = -10 - b. Calculate the least common multiple of m and 2.
18
Let m be (1/(-8))/(308/(-3984496)). Let v = -11290/7 + m. What is the common denominator of 1/22 and v?
22
Let m = -5093/72872 - 621205021/76005496. Let x = m - 17/149. Let j = 526 - 1027/2. Find the common denominator of j and x.
14
Let j = -6 + 8. Suppose j*k + 80 = 4*b, 0 = -3*k - 0 - 12. Suppose -p - 72 = -5*p. Calculate the smallest common multiple of p and b.
18
Suppose 20 = 3*p - 7. Let n be p + -7 - (-1 - -4). What is the lowest common multiple of 10 and ((-2)/3)/(n/3)?
10
Calculate the common denominator of 22 and 1/4*(-380)/55.
11
Calculate the lowest common multiple of 8 and (0 + -4)/(1/(-2)).
8
Let v = -48527/42 - -3442/3. Let p be ((-11)/(-1))/(1 - 3). Let w = v - p. Calculate the common denominator of -34/3 and w.
21
Let j(a) = a**3 - 4*a**2 + a - 4. Let s be j(3). Suppose -w + 15 + 5 = 0. Let c = w + s. What is the smallest common multiple of 3 and c?
30
Let p(g) = g**3 + 5*g**2 + 4*g + 6. Suppose -14 = y + 3*z - 3, z - 3 = y. Let f = 11 + y. Calculate the lowest common multiple of p(-4) and f.
6
Let j be 10054/30 + (-2)/(-4). Let b be 0 + (-1988)/(-6) + 2. Let i = b - j. Find the common denominator of i and 63/2.
10
Let b(p) = p - 14. Let t be b(15). Let i = 15 + 1. Calculate the least common multiple of (-91)/(-5) - t/5 and i.
144
Find the common denominator of (4/(-24))/((-16)/(-366)) and (411/12 - 4)/3.
48
Let h be 0/(1*6/(-3)). Suppose -u + 10 = -h*u. What is the least common multiple of 4 and u?
20
Suppose 4*q = -3*c + 10, -2*q + 4 = c - q. Suppose 2 = 7*x - c*x. What is the lowest common multiple of 14 and x?
14
Let x(k) = -k**2 - 15*k - 1. Let b be x(-15). Calculate the smallest common multiple of 4 and -1 + (1 + -3)*b.
4
Suppose 9 = u + 1. Suppose 9 = t + u. What is the lowest common multiple of t and 6?
6
Suppose 0 = -5*o + 4*o - 4*b + 1, 2 = 2*o - 4*b. Let w = 7 - o. Calculate the least common multiple of 5 and w.
30
Suppose -5*i + y = -1 + 36, -5*y + 1 = 4*i. Suppose -3*g = p - 16, p + g = 8 - 0. Calculate the lowest common multiple of 4 and (-56)/(-6) - p/i.
20
Suppose -4*p - 24 = 204. Let i = 39 + p. What is the lowest common multiple of 2 and (11/(-33))/(2/i)?
6
Suppose 0 = 5*n - 6*n, 5*m = 5*n + 60. Calculate the lowest common multiple of 2 and m.
12
Let q(h) = 2*h - 2. Let d be q(4). Let j(m) = -m**3 + 7*m**2 - 5*m - 1. Suppose 0 - 3 = -3*y. Calculate the lowest common multiple of j(d) and y.
5
Let a be (-2)/(-3) + (-560)/3. Find the common denominator of a/15 - 2/10 and -53/10.
10
Let c be 3/(-2)*(-12)/2. Let k be c/12 - (-3)/12. What is the least common multiple of -2 - -7 - (0 - k) and 2?
6
Let i(p) = 2*p - 37. Calculate the least common multiple of i(22) and 4.
28
Suppose -2*s + 27 = -5*s. Let j = 42 - s. Let c = -33 + j. Calculate the least common multiple of 2 and c.
18
Suppose -2*a + 12 = 4. What is the lowest common multiple of a and 8?
8
Let i be (14 + (0 - -2))/(-1). Calculate the lowest common multiple of (-5 - i)*2/2 and 46/4 + (-2)/4.
11
Let k(l) = 4*l**2 - l - 9. Let n be k(7). What is the common denominator of 49/n - 4/18 and -127/6?
60
Let z = -22 + 40. Calculate the lowest common multiple of z and 6.
18
Let x be (-3)/(-6) + (-26)/4. Let d = -1149 + 25309/22. What is the common denominator of (-4)/x - 620/24 and d?
66
Let l = 0 - -4. Suppose 6 = l*c - 2, 0 = -3*b - 2*c + 16. What is the lowest common multiple of b and 5?
20
Let p be (-24)/(-278)*2/51. Let j = -292183/29788 - -1013816435/70389044. Let u = j - p. Calculate the common denominator of -101/22 and u.
22
Let m be -3 - (-399 - 0) - -3. Calculate the common denominator of (-4)/(-2) + m/(-36) and -31/6.
12
Let y be (-2268)/(-13052) + (-6)/39. Let s = y - -7731/2510. What is the common denominator of s and 54/11?
110
Let b = -14 - -18. Suppose b*q - 5 = 3. Calculate the smallest common multiple of q and 22.
22
Suppose 5*m - 3*p = 46 + 1, m - 6 = 4*p. Let t be (-9 + -1)*(-5)/m. Suppose -2*k = -t*k + 12. Calculate the smallest common multiple of k and 9.
36
Let j = -22 + 16. Let i be (-74)/14 + j/(-21). Calculate the common denominator of ((-39)/(-24))/(1/i) and -73/6.
24
Let s = -9594220/11 - -870946. Let i = s + 1258. Find the common denominator of 73/2 and i.
22
Let o = 319 + -973/3. What is the common denominator of 68/3 and o?
3
Suppose -4*f - 5*n = -0*f - 10, -2*f = 4*n - 2. Suppose 3*y - 8*y + 105 = 0. Let o = -12 + y. What is the smallest common multiple of f and o?
45
Find the common denominator of (1/2)/(25/(-590)) and 109/6.
30
Suppose -3*f = f - 16. Suppose -f*k - k + 20 = 0. Suppose 0 = 16*h + 3 - 83. Calculate the least common multiple of k and h.
20
Let u(h) = -2*h**2 + 6*h - 9. Let s be u(6). Let t be 1/(-1 + (-42)/s). Calculate the common denominator of -121/20 and (t/16 - -1)*-57.
80
Suppose l = 5*a - 75, 2*l + 24 = 7*a - 6*a. Let z = -30 - -52. What is the smallest common multiple of z and a?
154
Suppose -4*h - 10395 = h + 4*a, 2*h = 2*a - 4140. Calculate the common denominator of 61/6 and 4/18 - h/(-630).
42
Let u = 7164 - 71557/10. Let y(f) = -f**2 + f - 1. Let z be y(0). Find the common denominator of 2 - z*(-4)/32 and u.
40
Let t = 7 - 5. Let u = t - -6. Calculate the lowest common multiple of u and 7.
56
Suppose 3*n + w - 26 = -0*n, 4*n + 2*w = 36. Suppose -5*y + 90 = -3*s, 5*y = 6*s - 7*s + 90. Calculate the least common multiple of n and y.
72
Let t = -3333 - -29939/9. Let z = -1343 - -9374/7. Calculate the common denominator of z and t.
63
Let i(d) = 13*d + 9. Let v(r) = 6*r + 4. Let u(p) = 6*i(p) - 14*v(p). Let k = -14 + 12. What is the smalles