Let t(a) = -27*a - 15. Let q be t(-8). Find the common denominator of -59/2 and (4/18)/((-18)/q).
54
Let q(i) = 3*i + 1 - 1 + 2*i**2. Let t(c) = -2*c**3 - 29*c**2 + 17*c + 34. What is the smallest common multiple of t(-15) and q(-2)?
4
Suppose w - 3 = 7. Calculate the least common multiple of w and 6.
30
What is the common denominator of 21/11 and (260/32)/((-6)/(-8))?
66
Suppose -5*m - 4 = -2*p + 6, 3*p + 2*m = 15. Calculate the least common multiple of 42 and p.
210
Let j = -43 - -52. What is the smallest common multiple of j and 30?
90
Suppose -a = 3*a - 4. What is the common denominator of a/(-4) - (-861)/(-84) and 34/9?
18
Let i = -20 - 7466. Let j = i - -149677/20. Calculate the common denominator of j and -75/14.
140
Let k = -26 - -48. What is the common denominator of k and -35/3?
3
Suppose 0 = 3*p - 7 - 11. Suppose -10*j + p = -9*j. What is the lowest common multiple of 12 and j?
12
Find the common denominator of (45/4)/(-3 - 9) and 63/(-20) - 4/(-10).
16
Let j(w) = 2*w + 2*w - 2*w - 1. Calculate the least common multiple of j(1) and 11.
11
Let s be (1394/(-8))/(-1) + -2. Let a = -2017/12 + s. What is the common denominator of (-53)/(-212)*((-1)/(-1) - -42) and a?
12
Let b = -2669/210 + -16/35. Let x = 1/385 + -7318/1155. Calculate the common denominator of x and b.
6
Let g = -863/12 - -481/6. Let x = -5/1206 - -682/201. Calculate the common denominator of g and x.
36
Let u(l) = -11*l**3 + 3*l + 5. Let n(a) = -a**3 + a + 1. Let q(x) = 4*n(x) - u(x). What is the smallest common multiple of q(1) and 2?
14
Let y be 2*102/4 - 3. Let r be (-60)/(-27) + (-2)/9. Suppose 5*a - r = y. What is the least common multiple of a and 3?
30
Suppose 2*g - 4 + 0 = 0. What is the common denominator of 10/5 - 79/16 and 2/g - 332/(-88)?
176
Suppose -2*j + 7 = -1. Let u = 353 + -135. Find the common denominator of u/(-16)*j/(-10) and -95/14.
140
Let l = 7 + -6. Let a(p) = 7*p**2 - 2*p + 1. Let w be a(l). What is the common denominator of 43/12 and (3/w)/((-18)/158)?
36
Let y = 11 - 8. Suppose -4*u = y*v - 87, 5*v + 52 = 4*u + v. Let w(q) = 3*q + 3. What is the least common multiple of w(5) and u?
18
Let q(m) = -1 + 28*m**2 - 6 - 8*m + m. Let s be q(-5). Let c = s - 5743/8. Find the common denominator of c and 95/16.
16
Suppose 7*n - 19 = 5*n - 5*y, -3*n = 5*y - 21. Let d(z) = -7*z - 52. Calculate the least common multiple of d(-10) and n.
18
Let t = -4834/1551 - 22/141. Calculate the common denominator of t and 9/5.
55
Let o = -16 + 27. Let l = o - 3. What is the smallest common multiple of 12 and l?
24
Suppose -3*m - 2*k + 41 = 0, 0 = -k + 1 - 3. Let o = 20 - m. What is the smallest common multiple of o and 7?
35
Let z(r) = -r**2 + 11*r - 7. Suppose 16 + 14 = 3*n. Calculate the smallest common multiple of 5 and z(n).
15
Let v(g) = 6*g**2 - 2*g + 1. Let b be v(-4). Calculate the common denominator of -87/4 and 912/b - 4/10.
28
Suppose 0 = -4*u - 5*z + 37, -z + 39 = 4*u + 6. Calculate the smallest common multiple of u and 20.
40
Let o = 9683115 - 57945517/6. Let x = -26662 + o. Let l = x + 1157. Calculate the common denominator of l and 49/10.
30
Let d(h) = h + 11. Suppose l - 3 = -0. Suppose -17 = -2*a + l. What is the lowest common multiple of d(-7) and a?
20
Let p = -269 + 2679. Let x = 26539/11 - p. Find the common denominator of x and 81/10.
110
Let s = -2/273 - 14999/2184. Calculate the common denominator of 27/7 and s.
56
What is the common denominator of 35/8 and (-1097)/192 + (-27 - -33)?
192
Let n be (-98)/(-40) + (1 - -1). Let t = 23/4 + n. What is the common denominator of ((-2)/(-40))/(2/84) and t?
10
Let k = -2 - -22. Let z(b) = -2*b + 8. What is the smallest common multiple of k and z(-7)?
220
Let a(s) = s**3 + 5*s**2 + 2*s - 5. Let c be a(-4). Let g = -1 + c. Calculate the lowest common multiple of g and 20.
20
Let d = -1946/3 - -50725/78. Calculate the common denominator of 6/(-2) - (-18)/(-8) and d.
52
Let q(z) = -z + 8. Suppose -k - 26 = -3*j + 3*k, 4*j = 4*k + 32. Calculate the least common multiple of q(j) and 6.
6
What is the common denominator of 59/6 and 157/12 + ((-40)/(-5))/(-2)?
12
Suppose -80 = 5*a - 2*f, -3*f + 0*f = 2*a + 32. Calculate the common denominator of (6/a)/((-3)/(-5)) and 2/7 - (-1428)/(-539).
88
Let u = 9478658/25575 - 27538/75. Let b = u - 59/31. Find the common denominator of (17/(374/(-96)))/2 and b.
11
Suppose 3*m = -2*q - 4, -4*q + 0*m + 4*m + 12 = 0. Suppose 3*h + q = 10. Calculate the lowest common multiple of 10 and h.
30
Suppose -3*j + 37 + 11 = 0. What is the lowest common multiple of j and (-50)/(-4) + (-1)/2?
48
Let g(y) = y**2 - 4. Let m be g(-4). Suppose -m = -4*w + 4. Let b(r) = 3*r + 4. Calculate the lowest common multiple of 10 and b(w).
80
What is the common denominator of (-464)/(-96) - (-1 + -1) and 61/12?
12
Let c = -8732/7 - -175431/140. Find the common denominator of c and (3/(24/(-194)))/4.
80
Suppose -4*o - 12 = 0, 5*o + 13 = w - 12. What is the lowest common multiple of 11 and w?
110
Let l = -1258 + 9116. Let x be 1*l/(-20) - 0. Let z = x + 392. What is the common denominator of z and -101/18?
90
Let m = -10 - -9. Calculate the common denominator of (m/7 + 0)*11 and -25/3.
21
Suppose 0 = 4*o - 16 - 0, 0 = 5*t - 2*o + 13. Find the common denominator of 35/16 and t*(-131)/(-12) + 0.
48
Let a(q) = 3*q**2 - q. Let i be a(1). Suppose -22 = -i*w - 4. Calculate the least common multiple of 8 and w.
72
Let x be ((-3)/(-6))/(1/(-76)). Calculate the common denominator of -73/18 and x/28 + (2 - 5).
126
Let b(v) = v + 1. Let p be b(-1). Suppose 0 = w - 2 - p. Suppose -2*r = -f - 16 + 36, 3*f + 4*r - 10 = 0. What is the smallest common multiple of w and f?
10
Suppose -t - 1 + 4 = 0. Suppose -45 = -3*m + t*s, 41 = 3*m - 3*s + s. Suppose -w + 1 = -9. What is the least common multiple of w and m?
110
Let j = 8 + -5. Let s = j - 2. Calculate the common denominator of ((-3)/4)/(s/20) and 46/3.
3
Suppose 5 + 6 = p. Let m = 6 - -4. Let w = m + -5. Calculate the lowest common multiple of p and w.
55
Let b = 47 - 12. Let p = 206 - b. Find the common denominator of (-5 - -1)*p/(-48) and -119/10.
20
Let l = 15 - 11. Calculate the lowest common multiple of 5 and l.
20
Calculate the least common multiple of 1 and ((-15)/(-10))/(2/12).
9
Suppose 4*c - 2*y - 114 = 0, 4*y - 7 = 5. What is the lowest common multiple of 18 and c?
90
Let v = 104 + -103. Calculate the least common multiple of v and 68.
68
Let p(r) = 2*r - 9. Let l be p(12). What is the common denominator of -81/10 and (-3)/6 + l/66?
110
Let g = 4480/3 + -1479. Calculate the common denominator of -43/3 and g.
3
Let a = -120 - -85. Calculate the common denominator of 614/(-42) + (-10)/a and -1 + ((-4)/(-20) - (-8)/(-15)).
3
Suppose f - n = 2*n - 34, -n + 2 = 0. What is the common denominator of (66/f)/(2/(-4)) and -19*(-1)/(-22)*2?
77
Suppose 0 = 4*v - 3*c + 1, 12 = 2*c + 2*c. Suppose -6*w = 8 - 128. Calculate the least common multiple of v and w.
20
Let x be (-1)/4 - (-1896453)/(-396). Let o = -4786 - x. Find the common denominator of o and 28/9.
99
Let n(j) = -j**2 - 4*j. Let m be n(-4). Let a(y) = y + 6. Calculate the smallest common multiple of a(m) and 4.
12
Suppose 5*y = -5*s + 28 + 2, -3*y - 4*s + 16 = 0. Let p(l) = -l**3 + 9*l**2 - 6*l + 2. Calculate the least common multiple of 20 and p(y).
180
Calculate the common denominator of -6/5 and 248/52 - (5 - 2).
65
Find the common denominator of ((-15)/(-60))/(5/(-91)) and -49/8.
40
Find the common denominator of (9/(-14))/(9/(-111)) and 77/20.
140
Calculate the common denominator of (-3)/12 + 30/(-216) and (-10)/32*-34 - -1.
72
Let a be 1188/(-624)*4/(-6). Let g = -94/13 - a. What is the common denominator of -45/7 and g?
14
Let a = 101 + -1082/11. Let h = -115/1716 - -1/15. Let o = -7539/2860 + h. Find the common denominator of o and a.
11
Suppose -41 - 39 = -4*t. Calculate the smallest common multiple of (80/(-14))/((-24)/84) and t.
20
Suppose -5*x - 1030 = 1020. Calculate the common denominator of x/(-14) - 2/7 and -44/9.
9
Let o be 1/42*(-3 + -586). Let r = o - -125/7. Calculate the common denominator of r and 31/6.
6
Let k(w) = 2*w**2 - 23*w - 9. Calculate the least common multiple of 6 and k(12).
6
Let d = 2 - -2. Calculate the lowest common multiple of d and 11.
44
Suppose 2*w + 2*w = 25308. L