l - 15 = b. What is the lowest common multiple of l and 14?
56
Suppose -4*n - 3 = -15. Suppose -d = y - 5, 2*y = -n*y + 3*d + 33. Calculate the least common multiple of 4 and y.
12
Let o(p) = p**3 + 4*p**2 - 5*p + 4. Let u be o(-5). Let a be (282/u)/(6/8). Find the common denominator of 17/16 and (-2)/((-126)/a + 1).
16
What is the lowest common multiple of 18/81 - (-356)/18*1 and 22?
220
Let m be ((-1)/1)/((-5386)/(-6)). Let c = 223459/53860 - m. Find the common denominator of c and 37/12.
60
Let f be (8 + -3 - 3)*-2. Find the common denominator of -95/18 and f/(-12) + 634/60.
90
Let h be (((-704493)/6)/(-3))/(-6). Let x = h - -6517. Let k = -2456/19 + 26831/228. Find the common denominator of k and x.
12
Let y(i) = 8*i**2. Calculate the least common multiple of 18 and y(1).
72
Let t(u) = u**2 + 2*u + 1. Let b be t(-1). Let w = b + 1. What is the lowest common multiple of 7 and w?
7
Let n be (-562)/(-8) + (-2)/8. Suppose -6*c + n = -c. Calculate the least common multiple of c and -30*((-1)/(-3) - 1).
140
Let h(o) = -o**3 + 9*o**2 - 1. Let i be h(9). Let y be i/(3/9) + 36. Let a = y - 19. Calculate the least common multiple of 18 and a.
126
Let i = -63621/16198 - 1/1157. Find the common denominator of -157/84 and i.
84
Let h be (24/(-10))/((-1)/5). Let u = h + -3. What is the smallest common multiple of u and 9?
9
Let u = -6 + 8. Suppose 3*y + 5*d - u = -y, 0 = y - 4*d + 10. Let w = y + 8. Calculate the smallest common multiple of 20 and w.
60
Suppose -h - 3*h = -4*o + 32, 0 = 5*o - 4*h - 44. Suppose v + 4*p - 9 = -2*v, 3*v + o = 3*p. What is the common denominator of 24/11 and (5/(-4) - v) + 7?
44
Let d = -3 + 6. Suppose -d*p = -s + 5, 2 = 4*s - 5*p - 18. Calculate the least common multiple of 5 and ((-22)/s)/(6/(-15)).
55
Let a be ((-15)/(-6) - 2)*0. Let h be (0 + a + -6)*4. Find the common denominator of (-2 + 3)*51/h and 101/6.
24
Let i(m) = m**2 - 4*m. Let c be i(5). Suppose 5*j - o = 94, -j = 2*j - c*o - 74. Let z = -24 + 36. Calculate the lowest common multiple of j and z.
36
Suppose 0*g = 5*g. Suppose g*d - 27016 = -d. Let l = d + -594249/22. Calculate the common denominator of l and 65/2.
22
Let s = -7/299 - -30839/1794. Let l be 17*4 + -3 + 1. What is the common denominator of s and ((-1)/(-1))/(l/222)?
66
What is the common denominator of (-1)/(-3)*(-583)/66 and (2/(-24))/((-10)/282)?
180
Suppose s = -2 + 3. Let q(h) = h**3 + h**2 + h + 7. What is the least common multiple of q(0) and s?
7
Let w = 292/35 - 137/10. Suppose -o + 2 = 7. Find the common denominator of 2 + ((-795)/36)/o and w.
84
Let o(l) = -l**3 + 15*l**2 - 13*l + 6. Let a(q) = -q + 6. Let n be a(5). Calculate the smallest common multiple of ((-12)/15)/(n/(-5)) and o(14).
20
Suppose -3*j - 1 = 3*m + 14, 8 = -4*m. Let s = 9 - j. Calculate the least common multiple of s and (-39)/(-12) + 12/16.
12
What is the common denominator of 2/(-2) + (-1078)/84 and -37/6?
6
Let w = 18/11345 - 1510217/839530. Let f = w + -4/111. Calculate the common denominator of ((-110)/6)/(16/6) and f.
24
Let n = -3975/41 - -344066/123. Let f = n + -177901/66. Let u = 67/10 - 23/5. What is the common denominator of f and u?
110
Let j(t) = t**2 + 7*t + 4. Calculate the least common multiple of j(-7) and 6.
12
Let j be 2 - (-44)/8*2. Let p = j + -5. What is the lowest common multiple of p and 5?
40
Let c = -44/31 - -1786/341. Find the common denominator of c and 4/3.
33
Suppose 3*i + 8 = 7*i. What is the lowest common multiple of 22 and (-3)/9*i*-21?
154
Suppose -3*z + 8 = z. Let a be 1/z - (-6)/4. Suppose -40 = -a*q - 2*q. What is the least common multiple of q and 7?
70
Let c(y) = 3*y**2 + 3*y - 2. What is the smallest common multiple of 14 and c(-3)?
112
What is the common denominator of 11/77 - 810/(-112) and 85/14?
56
Let c = 31 + -16. What is the lowest common multiple of c and 27?
135
Let x = 4 - 74/9. What is the common denominator of 97/6 and x?
18
Let d = -7387 - -44203/6. What is the common denominator of ((-62)/4)/(2/(-3)) and d?
12
Let w(l) = 27*l + 4. Let p be w(-6). Let m be ((-3)/((-6)/p))/(-1). What is the common denominator of -105/22 and 12/18 - m/18?
198
Suppose -3*z - 2*z = -40. Calculate the least common multiple of 4 and z.
8
Suppose 5*d = d + 144. Suppose 3*t + 9 - d = 0. What is the least common multiple of 7 and t?
63
Let g(v) = v**3 + 6*v**2 + 5*v + 2. Let l be g(-5). Find the common denominator of ((-2)/12)/(3/372) and (l/(-4))/(33/72).
33
Let s(u) = u**3 + 10*u**2 + 7*u + 38. Calculate the smallest common multiple of 8 and s(-9).
56
Let s(w) = -w**2 + 5*w - 3. Let t be s(7). Let p = 46 + t. What is the lowest common multiple of (-2)/(-6) + p/3 and 8?
40
Suppose -9 = 5*s - 3*a + 6, -3*a = s + 3. Let f = -2/545 - 2709/4360. Find the common denominator of (-2)/s - 4/(-48) and f.
8
Let z(o) = -o**3 - 2*o**2 - o + 1. Let s be z(-2). Let k = s + -9. What is the common denominator of ((-82)/(-30))/(k/(-15)) and 95/22?
66
Let c(x) = 3*x - 14. Let h(a) = -2*a - 8. Let s be h(-6). Suppose -3*k - 2*d + 66 = 0, s*k - 5*d - 89 = -24. What is the lowest common multiple of c(12) and k?
220
Let r be ((-3)/1)/(21/(-7)). What is the smallest common multiple of 16 and 7/(-1)*-2*r?
112
Let g = 46071 + -139748/3. Let o = g + 12121/24. Calculate the common denominator of o and -19/22.
88
Suppose -2*k + 2434 = 2*k - 5*q, 2*k = -3*q + 1228. Let d = k + -4915/8. What is the common denominator of (-109)/(-12) - (-2)/3 and d?
8
What is the common denominator of 19/2 and (177/(-75))/(2 + 28/(-10))?
20
Suppose -2*f + 20 = 3*f. What is the lowest common multiple of f and (2 + -1)/1 - -17?
36
Calculate the least common multiple of 11 + -8 - 1*-1 and 18.
36
Let y(d) = -d + 15. Let a be y(0). Let h be 0*((-2)/(-4) + -1). Suppose h = -2*f - 1 + a. What is the smallest common multiple of f and 4?
28
Let y = -3364/3 - -114217/102. What is the common denominator of y and 71/8?
136
Let o = 371209/3 + -92057327/744. Let g = o - 15/62. Calculate the common denominator of -48/5 and g.
40
Suppose -27 - 5 = -4*n. What is the least common multiple of n and 2?
8
Let u(p) = -5*p - 13. Let o be u(-6). Let g = o + -12. What is the lowest common multiple of g and 2?
10
Let o(n) = n**2 + 4*n - 7. Let m(i) = -i**3 - i**2 + i + 3. Let q(x) = x**3 + 9*x**2. Let r be q(-9). Calculate the lowest common multiple of o(-6) and m(r).
15
Let b = 391 - 2317/6. Calculate the common denominator of 67/30 and b.
30
Let k = -5930503313647 - -1330188171240318895/224296. Let h = 391256407/1009332 - 13955/36. Let q = h - k. Find the common denominator of 79/2 and q.
8
Let b = 4264/33 + -781/6. Calculate the common denominator of b and 31/14.
154
Let f(c) = 2*c - 6. Let u be f(4). Suppose -o + 3 + 6 = p, -u = -3*o + 2*p. What is the lowest common multiple of o and 2?
4
Suppose 73 = -5*t + 3*y, -3*y = 5*t - 0*y + 97. Let v = t + 11. What is the common denominator of -61/4 and ((-190)/4)/(-2 - v)?
8
Suppose -8 = 5*p + 52. Let v be (p/(-32))/((-10)/217432). Let m = 8142 + v. What is the common denominator of m and 89/14?
70
Suppose 3*w = 5*h + 18, 28 = -5*h - 3*w - 14. Suppose 0*x + r = -2*x + 4, 3*x + 4*r = 6. Calculate the smallest common multiple of x and 4/h*3/(-2).
2
Suppose 2*m + 3 - 67 = 0. Suppose 2*g - 112 = -3*g - 2*r, 5*g - r = 109. What is the least common multiple of m and g?
352
Suppose k - 29 = -4*v - 7, 2*k + 1 = v. Suppose 3*n + 4*m + 17 = 0, -2*n + v*m - 14 = -41. Let f = 7 - n. What is the least common multiple of 16 and f?
48
Let u = -46 - -56. Calculate the least common multiple of u and 104.
520
Let w = 56 - 42. What is the smallest common multiple of 8 and w?
56
Suppose -4*q + 16 = 2*l, 5*l = -4*q + 3*q + 13. What is the lowest common multiple of 8 and l?
8
Let g be 926/10 + (-6)/10. Suppose -2 + g = 5*b. Suppose i + 4 = 3*i. What is the least common multiple of i and b?
18
Suppose 0 = -5*h - 5*n + 35, 5*h - 8*n + 3*n - 25 = 0. Calculate the least common multiple of h and 3.
6
Find the common denominator of 77/10 and (-76)/(-418)*((-242)/24 + 1).
330
Let t = -21 - -15. Find the common denominator of ((-106)/t)/((-20)/(-12)) and 31/11.
55
Suppose 2*x + 3*x = -100. Find the common denominator of (-1)/x*29*3 and -5/2.
20
Let u = 19761/22 - 899. Calculate the common denominator of (16/72)/(24/(-1179)) and u.
132
Let o 