 Let g = 6 + -4. Calculate the lowest common multiple of k and g.
8
Find the common denominator of ((-5)/40)/(4/(-22)) and 178/(-24) - 14/7.
48
Suppose -2*g - 1365 = -7*g. What is the common denominator of 470/(-50) - 1*-3 and ((-1)/(-15))/(2/g)?
10
Suppose -4*v = 4*j + 196, -2*j + 32 + 194 = -4*v. What is the common denominator of (-3)/(-18)*(-1 + v) and 723/70 - 6/(-84)?
30
What is the common denominator of 49/9 and (2/12)/(2/262)?
18
Suppose 2*o + 94 - 22 = 0. Find the common denominator of 16/11 and (-3)/o*291 - 1.
44
Let d = 9 + -5. Suppose 2*u + 0*g - 3*g = 0, g - 28 = -4*u. What is the lowest common multiple of u and d?
12
Let u = 3 + -10. Let o(m) = -m**2 - 10*m - 1. Let z be o(u). Let n = 36 - z. Calculate the lowest common multiple of n and 20.
80
Let i = 4 - 0. What is the least common multiple of 65/3 + 1/3 and (7 - i)/((-3)/(-22))?
22
Let c = 9 - 10. What is the least common multiple of 1 + c - (5 - 8) and 10?
30
Let w(a) = -4*a**3 - a**2 + a + 1. Let q be w(-1). Suppose q*s - 29 = -2. Suppose 5*b - 59 + 9 = 0. What is the least common multiple of s and b?
90
Suppose -g = 3*r + 1, -5*r - 5 + 4 = 2*g. Suppose g*i + 2 = -q, -2*q + i = q - 29. Calculate the lowest common multiple of q and 8.
8
Let a = -6523/1350 + -1/675. Let o = 8231/20 - 414. Find the common denominator of a and o.
60
Let t = -3 + 2. What is the common denominator of -2 - (-1 - 0) - (-159)/12 and 772/(-80) - t/(-4)?
20
What is the lowest common multiple of ((-10)/3 - -3) + 28/3 and 93?
279
Let z(b) = 12*b**3 - b**2 - 5*b - 2. Let c be z(4). Calculate the common denominator of ((-1)/28)/((-5)/c) and 9/20.
140
Find the common denominator of 4/12 + 284/66 and -13/2.
22
Suppose -2*j - 543 = 3*s, -4*j - 538 - 528 = 2*s. Find the common denominator of -1/11 and (-8)/(-44) + 213/j.
88
Let z(d) = 5*d - 3. Let x = 208 + -200. Calculate the smallest common multiple of x and z(3).
24
Find the common denominator of 26/3 and 73/(-133) - (-20)/70.
57
Let c(t) = -t**2 + t + 18. What is the smallest common multiple of 14 and c(0)?
126
Let q = -2 - -5. Let z = -124 - -135. What is the least common multiple of z and q?
33
Suppose 3*z = -3*j - 48, -4*j = -3*j - 2*z + 4. Let f be (-4)/(-3) + (-8)/j. What is the common denominator of -19/2 and (-1)/((-28)/(-94)) + f?
14
Suppose 5*h = h. Suppose h = -2*k - 0 + 12. What is the smallest common multiple of k and 2?
6
Let w = -9 + 14. Calculate the common denominator of 83/8 and 1/((20/(-64))/w).
8
Let f(t) = 2*t**3 + 3*t**2 - t - 2. Let z be f(-2). Let q = 6 + z. What is the smallest common multiple of 9 and q?
18
What is the common denominator of 0 - -21*2/(-12) and -57/10?
10
Find the common denominator of 5255/450 + 6/27 and -37/12.
60
Suppose y = -0*y + 5. Suppose -59 + 5 = -2*s. Suppose -3 = i, -s = -5*c + y*i - 2. Calculate the lowest common multiple of 22 and c.
22
Suppose q + 1 + 23 = 0. Let f = -44 - q. Find the common denominator of (74/3)/(f/9) and -61/3.
30
Let m = 2489/330 - -91/33. What is the common denominator of 31/10 and m?
10
Let f(p) = -p**3 + p**2 + p - 2. Let m be (-3)/3*1*-9. Let s = -2 + m. What is the lowest common multiple of f(-2) and s?
56
Let c = 0 + 3. Suppose 2*k + 12 - 28 = 0. What is the least common multiple of c and k?
24
Let v = -161 - -197. What is the smallest common multiple of 27 and v?
108
Suppose 3*b - h + 119 = -b, -5*h + 15 = 0. Let k = b + 40. Calculate the common denominator of -43/3 and k.
3
Let t = 5 + 3. What is the lowest common multiple of 12 and t?
24
Suppose 2*z - 14 = 3*s + 20, -4*z - s = -40. Let o = -4 + z. Calculate the smallest common multiple of o and 8.
56
Let g = 14781 + -325109/22. Find the common denominator of g and ((-6)/(-8))/(10/(-230)).
44
Let w = -8 + 14. Calculate the common denominator of -111/22 and w/15 + (-11)/40.
88
Suppose t + 2 = 7. Let n(z) = 7*z - 1. Calculate the smallest common multiple of t and n(1).
30
Let v(l) = -l**2 - 14*l + 29. What is the smallest common multiple of 56 and v(-15)?
56
Let d be (0 - (-1)/2)*10. Suppose -j = -d*j + 40. Calculate the lowest common multiple of 13 + 3 - (3 + -1) and j.
70
Suppose -b - 2 = -8. Suppose -2*c = -0*c - 8. What is the lowest common multiple of b and c?
12
Let o be 4/(-12)*(0 + -3). Suppose 2*z - o - 7 = 0. Suppose -4*f = -4*v + 8, 2*v + f - 20 = -f. What is the smallest common multiple of v and z?
12
Suppose -9*a - 20 = -5*a. Let z(f) = -6*f + 2. Calculate the smallest common multiple of 4 and z(a).
32
Suppose -2*z = n - z - 5, 3*n + 4*z - 18 = 0. Suppose -p + 16 = n. Calculate the least common multiple of 4 and p.
28
Suppose -4*s + 2*s + 12 = 0. Let b(d) = d**2 - 4*d. Let l be b(3). Calculate the least common multiple of s and ((-5)/(-4))/(l/(-12)).
30
Suppose 3*n - 394 = -5*o - 40, -2*n - 63 = -o. Calculate the least common multiple of 10 and o/6 + (-2)/4.
110
Find the common denominator of ((-12)/(-14))/((-24)/(-126)) and -71/16.
16
Suppose h - 4*h = -5*z + 27, -3*h - 4*z = 0. Let q = h - -12. What is the lowest common multiple of q and 11?
88
Let u(h) = -h**3 - 2*h**2 - 2*h + 2. What is the smallest common multiple of u(-2) and 1?
6
Suppose -2*m = 5*p - 23, -2*m = -p + 4 + 3. Suppose 0*h = -p*t - h + 109, -1 = h. What is the least common multiple of 12 and t?
132
Suppose c + l - 27 = -2*l, 0 = 4*c + 5*l - 80. What is the common denominator of 78/c*3/(-12) and 67/6?
30
Let c = -53 + 62. Calculate the lowest common multiple of c and 8.
72
Let y be -1 - 2 - 18/(-3). Let q = 164827/22 + -7490. What is the common denominator of -11*(-15)/(-12) + y and q?
44
Suppose 0 = 3*w - 54. What is the least common multiple of w and 32?
288
Let i(q) = q**3 - q**2 - 4*q + 3. Let v be i(2). Let a be (1 - v)*(-3 - -2). Calculate the common denominator of 1/10 and a/6 + (-23)/4.
60
Suppose -3*m = -2*m + 3. What is the common denominator of 3/(-3 + m) - -16 and 2 + 2/((-14)/13)?
14
Suppose -2*u + 12 = -0. Find the common denominator of -91/12 and ((-9)/u)/(66/190).
132
Let n be (-1 - 0) + (4 - 2). Suppose 4*j = -7 - n. Let q = j + 6. What is the smallest common multiple of 6 and q?
12
Suppose 0*q + 2*v + 2 = q, -2*v - 6 = -3*q. Let n = 2 + q. Suppose -a = n*a - 110. What is the smallest common multiple of 2 and a?
22
Let l = 2/125 + -379/250. What is the common denominator of (9/(-4))/(188/16 - 9) and l?
22
Suppose -2*v = v - 33. Let a be 7 - (-1)/(1/(-3)). Suppose a*z = 21 + 3. What is the lowest common multiple of v and z?
66
Let z = 5254969031/868566 + 5/144761. Let f = -6075 + z. Find the common denominator of f and -43/11.
66
Let s(g) = 3*g - 1. Let i be s(1). Suppose i*n - n + 2 = 0, 5*y + n - 428 = 0. Find the common denominator of (y/(-15))/(4/6) and -29/9.
45
Suppose -k - 2*k + 9 = 0. Suppose 5*w = k*z + 61, 0*w - 5*z + 23 = 3*w. Calculate the least common multiple of 5 and w.
55
Let t = 239915/22 - 10901. Let l = -913/4 + 224. Find the common denominator of l and t.
44
What is the smallest common multiple of 9 and (-1)/(-6) + (-53)/(-6)?
9
Let t(r) = -5*r - 9. What is the least common multiple of 4 and t(-4)?
44
Let c(s) = s**2 + 11*s - 11. What is the least common multiple of 11 and c(-12)?
11
Calculate the common denominator of (-1)/(-4) - 203/(-35) and -97/6.
60
Let u(m) = m**2 + 3*m + 3. Let o be u(-2). Suppose 17 = 3*n - o. Calculate the smallest common multiple of n and 16.
48
Let h = 115357/12 - 9601. Calculate the common denominator of (-1)/3 + 681/126 and h.
84
Let k(f) = 41*f - 2. Let m be k(-4). Find the common denominator of (m/12)/((-8)/6) and ((-2 + -1)/(-9))/(2/16).
24
Suppose -3*j = -3*c - 4*j + 22, 5*c - 4*j - 31 = 0. Suppose 1 = -f + 3*b + 6, 0 = -f + b + c. Let s = -7 + f. What is the least common multiple of 5 and s?
5
Let b be ((-34)/(-18))/(3/9). Let c = b + -2. What is the common denominator of c and -59/4?
12
What is the common denominator of -25/9 and (-4)/(-1) - 3460/900?
45
Let s(q) = 4*q**2 - 2*q + 1. Let m be s(-3). Find the common denominator of (1 + 23/10)*2 and (1 + -2)/(-1) - m.
5
What is the common denominator of 43/8 and (41/(-12))/((-3)/(-4))?
72
Suppose 3*p - 22 = -2*j + 6*p, 0 = -4*j + p + 24. Suppose 0 = -j*s + 15 + 15. Calculate the common denominator of -109/10 and 455/15*s/(-40).
20
Let r be (5 - 6) + 913/(-2). Let g = -480 - r. What is the common denominator of g and 2/(-12)*