 27853/83433 + 2/(-6). Let c = u - a. Calculate the common denominator of c and -12/11.
11
Let u(m) = -2*m + 11. Let z be u(-8). Let g = z + -20. What is the lowest common multiple of g and 1?
7
Suppose -5*t + 27 = 4*x, 4*x + x = 4*t + 44. Suppose 40 + 10 = 10*a. Calculate the smallest common multiple of x and a.
40
Let g(m) = m + 2. Let y be g(-5). Calculate the common denominator of y/9 + (-242)/(-6) and -38/11.
11
Suppose -3*i + 3*y = -27, 4*y - 5 = -i + y. Calculate the smallest common multiple of 64 and i.
64
Let p be (-5)/(-2)*440/2775. Let t = -11219/2220 - p. What is the common denominator of 30/4*21/50 and t?
20
Let r = -53708/11 - -4889. Let l = 125/154 - r. Let u = -13/51 + -365/102. Calculate the common denominator of u and l.
42
Let x(q) = q**2 - q - 2. Let f be x(0). Calculate the least common multiple of 2 and (-42)/(0 + f) + -1.
20
Let i(d) = d + 43. What is the least common multiple of 35 and i(-38)?
35
Suppose 2*u + 12 = 6*u. Find the common denominator of (-44)/16*u/(-2) and (-4)/(-18) + (-2238)/108.
8
Calculate the lowest common multiple of (1/(-2))/((-4)/72) and 30.
90
Let s(q) = 3*q**3 + q**2 - 2*q + 3. Let a be s(-3). Let x be 2/5 - a/5. Suppose -x = 4*m - 33. What is the smallest common multiple of m and 7?
35
Let f(y) = y + 4. Let g be f(-6). Let a = -39649/2106 - 7/1053. Calculate the common denominator of (-56)/12 + g/8 and a.
12
Let b = 64529/38088 - -1/4232. What is the common denominator of 107/18 and b?
36
Suppose -2*n = -0*n - 32. Calculate the smallest common multiple of n and 16.
16
Suppose l - 31 = -29. What is the least common multiple of 14 and l?
14
Let n = 20 + -25. Let b(y) = 4*y**2 - 6*y + 3. Let z(c) = c**2 + 1. Let i(t) = b(t) - 5*z(t). What is the smallest common multiple of 4 and i(n)?
12
Suppose -c - 2 = -3*a - 3, c - 4*a = 0. What is the lowest common multiple of c and 2?
4
Suppose 3*l + 5*j = -0*l + 59, 0 = -2*l - 5*j + 41. Calculate the lowest common multiple of 12 and l.
36
Let i = -3 + 27. Calculate the common denominator of 79/6 and (-10)/9*117/i.
12
Let x = -28644 + 801935/28. What is the common denominator of 51/16 and x?
112
Let s = -1/14 - -17/2. Find the common denominator of -1/10 and s.
70
What is the common denominator of (-113)/12 + (-7)/21 and 40/11?
44
Let d = 2 - -4. Suppose -d*b + b = -s - 3, -3*s - 2*b + 76 = 0. What is the least common multiple of s and 6?
66
Suppose 4*i + 53 = 2*u + 417, i - 5*u = 100. Let c be (-1 - -1)*(-1)/(-2). Suppose -5*p + i = -c*p. Calculate the lowest common multiple of p and 12.
36
Let m(w) = 6*w - 4. Let p(i) = -i**2 - 9*i - 5. Let d be p(-8). What is the lowest common multiple of m(d) and 12?
84
Suppose 5*b = 24 + 6. Suppose 0 = -m + b*m - 25, -67 = -3*c - 5*m. Calculate the common denominator of 4/c - 992/42 and 19/4.
12
Let h = -11 + 10. Calculate the least common multiple of 3 - -1*(h + 2) and 22.
44
Suppose 0 = -5*k, f + k + 2*k + 10 = 0. Let t = f + -2. Let d = -6 - t. Calculate the lowest common multiple of 20 and d.
60
Suppose 4*a = 115 - 43. Calculate the lowest common multiple of a and 9.
18
Find the common denominator of ((-860)/450)/((-2)/(-6)) and -73/24.
120
Let z(k) = 2*k**2 - 24*k + 37. What is the lowest common multiple of 27 and z(11)?
135
Let c(f) = f**3 - 7*f**2 + 3. Calculate the smallest common multiple of c(7) and 3.
3
Let p = 13722811 - 4528535857/330. Let k = -262/55 - p. Find the common denominator of k and -41/6.
6
Suppose 7 = 3*l - 5*m - 4, -3*l = 2*m - 4. Suppose b - 2 = l*p + 3, 0 = b + p + 1. Calculate the least common multiple of b and -12*(-3)/4 + 1.
10
Calculate the common denominator of 29/8 and ((-3159)/(-234))/((-4)/14*-57).
152
Let h(a) = -a + 18. Let u = 16 + -9. What is the least common multiple of h(15) and u?
21
Let x = 2218091/57 + -38915. Let y = x - 3763/456. Find the common denominator of (267/2)/(2 + 4) and y.
8
Let g(z) = 3*z**2 - z. Let p be g(-1). Suppose 316 = -p*l + 76. What is the least common multiple of ((-3)/(-2))/((-9)/l) and 6?
30
Let o = 2 - 2. Suppose -25 = -3*p + g, -p + 2*g + 3*g + 27 = o. Calculate the smallest common multiple of 2 and p.
14
Let m(w) = 3*w - 3. Let c(v) = -v + 1. Let z be c(-1). Let h = -34 + 38. What is the least common multiple of h and m(z)?
12
Let i be 3*(-4)/((-216)/(-15)). Let w = 0 - i. Find the common denominator of -97/2 and w.
6
Suppose 5*y = n + 89 - 12, -2*y - 2*n + 38 = 0. Let w = 8 + -6. Calculate the smallest common multiple of w and y.
16
What is the smallest common multiple of 2 and 33/(-22)*8/(-3)?
4
Suppose -3*p + 4*m - 1 = 0, -p + 5 = -3*m - m. Calculate the common denominator of 11/14 and p - (-69)/(-18) - -1.
42
Let b = 13 + -7. Calculate the least common multiple of b and 9.
18
Let q be ((-6)/(-10))/((-2)/(-10)). Suppose q*c = -8*b + 3*b + 40, 2*b - c - 16 = 0. What is the lowest common multiple of 8 and b?
8
Let q be (-4)/(-8) + 629/176. Let d = 55667/11 + -5054. Let b = q - d. What is the common denominator of b and 115/18?
144
Let h = 3 + 1. Let f(y) = -y**2 + 6*y - 7. Calculate the least common multiple of f(h) and 6.
6
Let f(t) = -6*t - 2. Suppose 3*c + 5 = -4. Suppose 24 + 26 = 5*j. What is the lowest common multiple of f(c) and j?
80
Find the common denominator of 65/12 and 671/(-18) + (4/9)/(-2).
12
Let s be ((-26)/4)/(2/(-4)). Let o = 24 - s. What is the smallest common multiple of (-3)/(-6)*(-24)/(-2) and o?
66
Let u be 1*(-17 - (-3 + 3)). Let l = u + 35. Calculate the least common multiple of 6 and l.
18
Let b = 12 - 3. Suppose -2*v - 13 = 4*s - 3, -4*v = -3*s + b. Find the common denominator of (260/(-24))/((-2)/v) and 83/8.
8
Let x(o) = -23*o**3 + 2*o + 1. Let z(i) = 5*i**2 + 4 - 1 - 3*i**2 - 3*i. Calculate the smallest common multiple of x(-1) and z(3).
132
Let p = 24 - -6. What is the common denominator of (-218)/(-42) - (-1)/(-3) and (-168)/p - (-1)/(-5)?
35
Let z = 183 + -179. Calculate the lowest common multiple of z and 6.
12
What is the common denominator of 5/(-2)*78/(-25) and -83/8?
40
Let h be 3 - (0 + 3 + -1). Find the common denominator of (-495)/(-50) + -3*h and 68/9.
90
Calculate the lowest common multiple of 5 and (8/20 + 2 - 2)*5.
10
Let p = -47 + 78. Calculate the common denominator of 97/6 and (p/4)/((-5)/(-3)).
60
What is the smallest common multiple of 2 and -34*2*(-2)/4?
34
Let h = -809/300 - 243/25. Calculate the common denominator of h and -29/16.
48
Let x = -1603/300 - -7/75. Find the common denominator of x and (-3)/(-9) - 2/(-4).
12
Suppose -2*w = -6*w + 28. Calculate the smallest common multiple of 10 and w.
70
Let q = -16189692343 + -26690563698. Let h = -2159878496532271/50370 - q. Let t = -21/1679 - h. What is the common denominator of t and 81/22?
330
Let b = -18 + 29. Calculate the least common multiple of b/2*(0 - -2) and 2.
22
Let m be 2 + 1 - (43 - 13). Calculate the common denominator of -9/5 and (-16 - m)/(8/(-10)).
20
Let v = -4126 + 24671/6. Let j be -56 + 3 + -2 + 0. Calculate the common denominator of 6/j*75/(-12) and v.
66
Calculate the common denominator of (-1)/((-2)/6) - (-450)/140 and 97/4.
28
Let q = -6634 + 185833/28. Calculate the common denominator of q and 77/10.
140
Let b = 6 - 4. Suppose 8 = b*n - 0*n. What is the lowest common multiple of 1 and n?
4
Suppose 5*g + 7*x - 2*x = 70, 5*g - 5*x - 120 = 0. Let b(y) = -y**2 + 21*y - 20. What is the lowest common multiple of b(g) and 20?
180
Let x(q) = -q**3 + 10*q**2 + 6. Let l be x(10). Find the common denominator of 75/8 and (429/(-108))/((-2)/l).
24
Let n(l) = 1663*l**3 + 4*l**2 - 4*l + 1. Let w be n(1). Let m = 1265447/750 - 637/125. Let z = m - w. Find the common denominator of 35/6 and z.
6
Let c be (63/28)/(-1) - 1/(-4). Suppose -5*h + 2*m - m - 17 = 0, m - 9 = 3*h. What is the smallest common multiple of 10 and 1/(1/(h/c))?
10
Let s = 22 - 22. Suppose 0*a - 5*a + 60 = s. What is the least common multiple of 18 and a?
36
Suppose 0 = 5*u - 11 - 4. Calculate the smallest common multiple of 11 and u.
33
Find the common denominator of -1 - (2 - (-155)/180) and -19/18.
36
Let o be -1 - 1 - 10450/(-5165). Let f be (-1172236)/(-123960) + (-2)/(-3). Let n = f - o. What is the common denominator of n and 29/6?
30
Let b = -157 + 478/3. Calculate the common denominator of -91/6 and b.
6
Let p = 27 - 13. Let g(v) = v**3 + 3*v**2 - 6*v - 6. 