 0 = -2*m - 3*c + 53. Calculate the common denominator of m/(-12)*18/4 and 67/22.
44
What is the lowest common multiple of (6/4)/(4/24) and 11?
99
Suppose 17 = -3*k - 5*x, -3*k - x = -5*k + 6. What is the smallest common multiple of k and 1?
1
Let b = 108671/16 - 6788. What is the common denominator of b and ((-12)/16)/(135/(-1270))?
144
Let l = 13 + -8. Calculate the common denominator of -1/4 and (l/9)/(14/357).
12
Let y = 11007/554 + -3242815/126312. Let r = y + -4/57. What is the common denominator of r and -133/18?
72
Let g = 328/11 + -2204/99. What is the common denominator of g and (-106)/(-28) + -1 + 2?
126
What is the smallest common multiple of 10 and (-112)/84 - 10/(-3)?
10
Suppose 3*l + l + 8 = -4*m, -3*m = -3*l. Let p(a) = -3*a - 8*a - 5*a. What is the lowest common multiple of 8 and p(m)?
16
Suppose -v = -4, -5*j - 4*v + 3*v - 6 = 0. Let b(c) = -c**2 - 3*c - 1. Calculate the smallest common multiple of b(j) and (-11)/55 - (-51)/5.
10
Let k = -27407/6 - -4552. Find the common denominator of k and (-226)/(-32)*(-2)/3.
24
Let f(g) = g**2 - 11*g - 3. Let a be f(12). Suppose 0*j = j - 3*x - a, 4*x = 0. What is the least common multiple of j and 5?
45
Suppose 2*y + 9 = -9. What is the common denominator of 87/4 and 30/(-11) - y/18?
44
Suppose 0 = -4*z + 2*z + 64. Let f = z - 21. What is the smallest common multiple of f and 2?
22
Let a be (-10)/4 - (-2)/4. Find the common denominator of 35/a + 4/6 and 109/6.
6
Let b = -5 + 8. Suppose 5*l - 446 = -0*k + k, 0 = 2*l + 5*k - 200. Suppose b*g - g = -l. Calculate the common denominator of g and -61/2.
2
Let g(f) = 2*f + 1. Let d be g(-6). Let h = d - -21. What is the least common multiple of h and 2?
10
Let a = -52 + 58. Let f = -29 - -45. Calculate the smallest common multiple of a and f.
48
Let g = -1 - -6. Suppose 4*n + 1 = g. Find the common denominator of (4/(-32))/(n/(-150)) and 75/4.
4
Let q = 64 + -56. What is the lowest common multiple of 1 and q?
8
Let d(j) = -2*j - 9. Let n be d(-6). Suppose -2*x - 10 = 0, n*g - 4*x + 10 = 8*g. Calculate the least common multiple of 10 and g.
30
Let v = -32/139 + 11665/556. Let u = 55625/8 + -6964. Find the common denominator of u and v.
8
Let f be (-1 - 186/(-164))*-36. Let l = f - -8333/902. Let w = 6/7757 + -705959/93084. What is the common denominator of l and w?
132
Suppose -5*d + 0 = 10. Let a = d + 4. What is the lowest common multiple of 12 and a?
12
Let d(b) be the second derivative of b**3/6 + b**2 - b. Calculate the lowest common multiple of d(2) and 5.
20
Let a = -6 + 22. Suppose -2*t = t + 6. Let s = 8 + t. Calculate the smallest common multiple of a and s.
48
Let i = 193965/46 + -4216. Calculate the common denominator of i and -7/20.
460
Let y be 15/(-6)*(-1695)/(-3). Let p = y - -17384/9. Let h = p + -520. Calculate the common denominator of -99/14 and h.
126
Let x(q) = q**2 - 3*q + 1. Let t be x(2). Let w = t - -3. Calculate the smallest common multiple of w and 4.
4
Let s be (-4712)/(-18) + (-22)/(-99). Let a = s - 1839/7. What is the common denominator of a and 26/9?
63
Let l be 0*(1/(-1) + 2). Suppose -3*k + 25 - 1 = l. Calculate the smallest common multiple of k and 9.
72
Let b = 11 + -5. What is the smallest common multiple of b and 18/(-5)*(-10)/3?
12
Suppose 2762 = -2*o - 4*r + 718, o - r + 1025 = 0. Let l = o + 5139/5. Calculate the common denominator of -76/9 and l.
45
Let o = -298/29 - -7903/580. Suppose 3*t - 4*c = 9, 0 = -3*t + 3*c - 0*c + 6. Calculate the common denominator of (23*t)/((-14)/(-1)) and o.
140
Suppose -2*a - 304 = -5*n, -3*a = 4*n + n + 431. Let t = -225/2 - a. Calculate the common denominator of 69/8 and t.
8
Let k = -244/23 - -3119586/294055. Let h = k - -1035569/102280. Calculate the common denominator of h and -23/2.
8
Calculate the common denominator of 41/9 and (32/50)/(2/(-5)).
45
What is the common denominator of ((-6)/72)/(1 - (-47)/(-46)) and (5/(-2))/((-22)/(-38))?
66
Let d = 39 - 27. What is the smallest common multiple of d and 10?
60
Let m = 24 + -11. Let j = -494 + 500. What is the lowest common multiple of j and m?
78
Let m = 7 - 4. Let t = 0 + m. Find the common denominator of (-177)/(-99)*t/(-2) and -59/2.
22
What is the smallest common multiple of 24 and (5/5)/(3/18)?
24
Let q = -4 - -4. Let v be 1/((-3)/(-3 + q)). Calculate the least common multiple of ((-3)/3 - -4) + v and 20.
20
Find the common denominator of (0 - 0) + 278/(-36) and 3 + (459/(-66) - -4).
198
Suppose 5*y + 9011 = -2944. Let t = y + 88516/37. Let r = 1827/185 + t. What is the common denominator of -59/6 and r?
30
Let o(n) = -n**2 - 13*n - 12. What is the lowest common multiple of o(-8) and 40?
280
Let l be (1 + -6)*(2 - 3). Let n(i) = 3*i - 6. What is the least common multiple of 8 and n(l)?
72
Suppose -10*j = -5*j - 20. Calculate the least common multiple of j and 41/5 + (-3)/15.
8
Let o = 1/1813 - 50769/9065. Let s = 826 - 4073/5. Find the common denominator of o and s.
5
Suppose -20 = -3*q - 4*t + 6*t, -3*q = 4*t - 14. What is the least common multiple of -2 + 10/8 - (-33)/12 and q?
6
Let t = -4 + 5. Suppose -2*y = 5 - t. Calculate the common denominator of (-3)/((-90)/357) + y and -57/10.
10
Let v(q) = -2*q + 0 - 11*q**2 + 1 - 8 + 8*q. Let k be v(7). What is the common denominator of -23 and (2/(-15))/((-7)/k)?
5
Suppose z = 2*z + v - 17, 3*z - 91 = 5*v. Calculate the lowest common multiple of 14 and z.
154
Suppose -2*q = -4 - 6. Suppose -80 = -q*z + 3*k, -32 = -0*z - 2*z - 4*k. Calculate the least common multiple of z and 20.
80
Suppose 0 = 5*b - 0*b + 2*w - 194, 0 = b - w - 43. Suppose 2*i = -3*i + b. What is the lowest common multiple of i and 11?
88
Calculate the common denominator of (-29)/(-174)*(-214)/(-14) and 55/4.
84
Let b(x) = 3*x - 2. Let h be b(6). Calculate the lowest common multiple of 10 and (2/6)/(h/576).
60
Let x = 3 + -2. What is the least common multiple of 6/(x - 1/4) and 3?
24
Suppose q - 13 = -k, -2*k - 21 = -2*q + k. Suppose 4*w = 3*w + q. What is the lowest common multiple of w and 12?
12
What is the common denominator of (-3 - (-13)/4)*-178 and ((-1)/(-2))/(3/(-71))?
6
Suppose -4*h + 3*h = -5. Let n(c) = -16*c - 6 + h + 6*c. What is the lowest common multiple of n(-1) and 10?
90
Let l = 183/2 + -66. Let a = 13563/1930 + 14/193. What is the common denominator of a and l?
10
Suppose -3*q = m + 2 - 13, -4*q + m = -10. Suppose -5*s + 6 = -3*s, -s - 30 = -q*b. Suppose -3*n = -2*n - 5. What is the smallest common multiple of b and n?
55
Let n = 6 + 6. What is the lowest common multiple of n and 10?
60
Let n = -2961/5 + 47581/80. Calculate the common denominator of n and -7/8.
16
Let d = 0 - -6. Calculate the least common multiple of 3 and d.
6
Let w = 160/149561 - -10609106975/2392976. Suppose k - 4874 = -2*o - 438, 3*o - 13311 = -3*k. Let g = k - w. Find the common denominator of -61/16 and g.
16
Suppose 12 = -3*z + 5*u, u - 2*u = -z - 4. What is the smallest common multiple of z/(-2) + (-3)/(-1) and 4?
20
Suppose -110 = -4*i + 534. Let d = i + -91. Suppose 5*s = -6*b + b + d, -4*s + 2*b = -26. Calculate the lowest common multiple of s and 9.
9
Let f be (-4)/(-14) + (-510)/21. Let m = 50 + f. What is the lowest common multiple of m and 8?
104
Let s(m) = m**2 - 5. Let a(n) = -n**2 + 8*n - 2. Let o(c) = c. Let b(d) = -a(d) + 4*o(d). Calculate the least common multiple of b(6) and s(-3).
28
What is the common denominator of 22/3 and 8/(-14)*14/(-20)?
15
Let u = 15 - 36. What is the least common multiple of (-1 + u)*9/(-18) and 6?
66
Let o be (-27)/6*(-60)/(-9). Find the common denominator of 77/2 and 10/o - 274/(-30).
10
Suppose p - 5*p = -8. Let n = 6 + p. What is the least common multiple of 10 and n?
40
Let k(m) = -41*m**3 + 3*m**2 - m - 1. Let p be k(-3). Let t = p - 2353/2. What is the common denominator of t and 39/11?
22
Let l = -1604166507 - -110683046887/69. Let o = l - -64374. Let p = o - 3/23. Calculate the common denominator of p and -9/8.
24
Suppose 88 + 87 = 5*p - 5*v, -176 = -5*p + 4*v. What is the smallest common multiple of 18 and p?
36
Suppose y = -2*d + 4, 0*d - 24 = -3*y - 3*d. Let g = 9 - 7. What is the least common multiple of g and y?
12
Let k be 4/(-22) + 228798/(-132). Let p = k + 1776. What is the common denominator of -83/16 and p?
16
Let t = -1031/31 + 127781/3720.