(n) = -n - 5. Let o be x(-7). Find the common denominator of i and o/9*822/(-8).
30
Let r = 1501765/12 - 125271. Let x = 445/4 + r. Find the common denominator of x and 13/12.
12
Let b = 7909414/13197 + -4/4399. Let u = b - 588. Find the common denominator of -1 + (-324)/(-16) + -1 and u.
12
Let w be 19/(-2*1/(-6)). Suppose -w = -4*u + 119. Calculate the common denominator of (2 + u)/(-7 - -15) and 67/4.
4
Let n = -168/229 + 17207/5038. Calculate the common denominator of 8/55 and n.
110
Let v(b) = -3*b**3 - 28*b**2 - 12*b - 1. Suppose 4*y - 7*y = -3*k - 18, 3*k + y + 30 = 0. What is the common denominator of -17/2 and v(k)?
2
Suppose 3*g = q, -4*q - 7*g = -2*g - 68. Suppose -24*x - 153 = -537. What is the least common multiple of x and q?
48
Let w = -2/16821 + -151301/740124. What is the common denominator of 11/16 and w?
176
Let h be 631992/(-80) + 3/15 - 3. Suppose -p - 11908 = -3999. Let f = p - h. What is the common denominator of -93/16 and f?
80
Let r = 47 - 48. What is the smallest common multiple of 15 - -2 - (-3)/r*-1 and 2?
20
Suppose 130 = 5*i + 4*r, 14*i = 16*i - 5*r - 19. What is the lowest common multiple of 30 and i?
330
Let h = 1135 - 6833/6. Calculate the common denominator of h and -50/7.
42
What is the least common multiple of ((-416)/(-65))/((-216)/(-105) + -2) and 176?
1232
Let l(p) = p**2 - 2*p + 1. Suppose 4*t - 3*o = 20, 13*t + 2*o = 10*t + 15. What is the lowest common multiple of l(2) and t?
5
Let q = -10 - -28. Suppose -3*o = -4*o + 6. Calculate the least common multiple of o and q.
18
Suppose -12*c + 39 = -81. What is the lowest common multiple of c and -4 + (1 - 1) + 14?
10
Suppose 0 = -5*x - 45 - 20. Let z = x + 21. Suppose 16 = -6*o + z*o. What is the smallest common multiple of 10 and o?
40
Suppose -11 = 2*t + 5*c - 40, 3*c = -3*t + 30. Let d = 153 + -149. Calculate the least common multiple of d and t.
28
Let y = -2 + 17. Let x = 17 - y. Find the common denominator of x*(-4)/16*-67 and 37/13.
26
Let k = -294 - -300. What is the lowest common multiple of k and 568?
1704
Suppose 25 = 5*c + 3*f, 0 - 20 = -4*c + 5*f. Suppose -31 + c = -w. Suppose -w = 5*s - 96. Calculate the smallest common multiple of s and 2.
14
Let v(l) = -l**3 + 4*l**2 - 3*l + 6. Let u be v(4). Let b be 4492/24*99/u. Let d = b - -3067. Calculate the common denominator of 53/14 and d.
28
Suppose 2*r - 14 = z, 3*z + 16 - 6 = -2*r. Calculate the smallest common multiple of 7 and (14/z)/(1/(-3)).
7
Let x be -83*13*(-3)/(-6). Let p = 554 + x. Find the common denominator of -23/22 and p.
22
What is the smallest common multiple of (156/48 - 4)*24/(-2) and (-8)/12 + 76/6?
36
Let i = 1829 + -1807. Calculate the least common multiple of i and 326.
3586
Suppose 0 = -c - 0*c + 5392. Let y = -32447/6 + c. Find the common denominator of 73/12 and y.
12
Suppose 16*b + 19*b - 504 = 91. Let r = 16653 - 466177/28. What is the common denominator of r and b?
28
Let i = -1 + 8. Find the common denominator of i/10*(-11 - -15) and 1/3 + 86/18.
45
Let l be (-5)/((-5)/4)*1. Suppose 39 = -l*v + 127. Suppose 9*j + 16 = 11*j. Calculate the lowest common multiple of j and v.
88
Suppose 277 = 6*a + 253. What is the least common multiple of 805 and a?
3220
Let g be 6/(-4)*(-39993)/(-27). Let o = 2216 + g. What is the common denominator of o and (-1)/(-5) + (-1306)/180?
18
Let m = 7472 + -246656/33. Find the common denominator of -115/48 and m.
528
Let o = 107233 + -533938/5. Let c = o + -439. What is the common denominator of -37 and c?
5
Suppose -v - 15 = -6*v. Find the common denominator of (144/40 - 3) + 214/60 and 2 - (v - 189/24).
24
Let u = -25793/49 + 1051/2. Calculate the common denominator of u and -41/56.
392
Let x(t) = 5*t - 13. Let u be x(3). What is the smallest common multiple of 25/u*(72/(-15))/(-6) and 16?
80
Let h be (0 + 8)*2561/2. Let g be (573922/(-14) + 1)*(-5)/(-20). Let o = g + h. What is the common denominator of -3/10 and o?
70
Let k = 23641633/12 - 1960484. Let z = -9643 + k. Let s = 169/4 - 1097/28. Find the common denominator of z and s.
84
Suppose -t + 3*q + 84 = 0, 0 = -t + 3*t - 3*q - 174. What is the least common multiple of 5 and t?
90
Let g(r) be the second derivative of 5*r**4/3 + r**3/3 - r**2 + 14*r. Calculate the smallest common multiple of 22 and g(1).
220
Let r(l) = -5*l. Let v be r(-1). Suppose 1 = -3*w - v. What is the lowest common multiple of 16 and 6 + 0 + 0 + w?
16
Let h be 19 + (-1)/(-4 - -5). What is the smallest common multiple of 5 and (-10)/3*h/(-10)?
30
Let p = -442/3 + 150. Suppose 313 = -3*i + 5*i - c, -4*i = 2*c - 622. Calculate the common denominator of ((-10)/3)/((-91)/i) and p.
21
Let l be (-8)/((-172)/(-164) - 1). Find the common denominator of -77/60 and ((-166)/(-160) - 1)/(1/l).
60
Let s = 12 + -10. Suppose 4*g = 5*j + 40, g - s*g + 11 = -j. What is the lowest common multiple of g/(-2)*12/(-15) and 8?
24
Suppose 731 = 6*w - 661. Suppose o + 0*d + 72 = -d, 0 = -3*o + 5*d - w. Calculate the common denominator of -13/11 and 4/36*-1*o.
99
Let s(q) = -8*q + 60. Let x = -4 - -6. What is the least common multiple of x and s(6)?
12
Let c = 10203 - 215653/21. Let q = c - -181/3. Let t = 1196/129 + -26/43. What is the common denominator of t and q?
21
Suppose -5*n - 121 = -46. Let b = 23 + n. What is the smallest common multiple of b and 14?
56
Suppose 2*l = 3*f + 17, -2*l = -4*f + 2*f - 16. What is the least common multiple of 5 + l + -2 + 1 and 11?
11
Suppose -1 = -5*r + 4*r. Let n be (-2)/r - (-160917)/33. Let o = n + -4879. Calculate the common denominator of o and 20/11.
11
Suppose 18 = q + 15. Let a be 13/(-6)*(-12 - q). Let k = a + -31. Calculate the common denominator of -69/22 and k.
22
Let k = 110/113743 - -13317059/162490. Let q = -103518/5 - -20627. Let m = q + k. Calculate the common denominator of 119/6 and m.
42
Let r(y) be the third derivative of y**6/120 - y**5/30 + y**4/3 + 2*y**3/3 + 14*y**2 + 1. Calculate the least common multiple of r(4) and 4.
68
Let z(p) = 2*p**2 + 7*p + 4. Let a(d) = d + 7. Let o be a(-9). Let h = 4 - o. What is the smallest common multiple of z(-4) and h?
24
Suppose 7 = 5*f - 2*y - 0*y, 3*y - 24 = -4*f. Suppose -5*g + 13 = -2*h, -g + 0*g = f*h - 6. What is the least common multiple of 4 and g?
12
Let u(r) = -44*r**3 + 3*r**2 - 25*r - 27. What is the least common multiple of u(-1) and 35?
315
Let r(v) = -v**2 + 2*v + 4. Let d be r(4). Find the common denominator of -4 + 6 + (-150)/d and 3/10*565/15 + -4.
10
Suppose -42 = 5*r + 103. Let t = -19 - r. Suppose 0 = -8030*x + 8019*x + 176. What is the smallest common multiple of t and x?
80
Suppose 3*u + 1 = 4. Let d(q) = -2*q - 9. Let m be d(-5). Calculate the smallest common multiple of u and -1 + (m - -5) + -3.
2
Let c be -1 + 40/56 + 13178/112. Let u = -105 + c. Find the common denominator of -11/4 and u.
8
Find the common denominator of ((-71)/284)/((-490)/(-296) + -2) and -55/111.
1887
Let n = 2/79023 - -1162759/316092. What is the common denominator of 494/(-60) + 6/(-9) and n?
140
Calculate the least common multiple of 30 and (6/10 - (-2673)/45) + -2.
870
Let a be 8 + 4 + (4 - 1). Let l = 20 - a. Suppose -5 = l*u, 5*f = 2*f + u + 31. What is the smallest common multiple of 18 and f?
90
Suppose 0 = 3*u - 0*s - s - 60, 0 = -3*s. Let g = 25 - u. What is the least common multiple of g and 2/(-7) + 65/7?
45
Let b(u) = -u**3 + 12*u**2 - 13*u - 23. Let t be b(11). Calculate the common denominator of (-4)/(-18) + (-653)/(-180) and (-534)/(-32)*(-20)/t.
60
Let z be (-462585)/(-4)*(-4 - 102/(-25)). Let y = z + -9261. What is the common denominator of 1*-2 + 177/42 and y?
70
Let g(k) be the third derivative of 0 - 1/24*k**4 + 25/6*k**3 - 4*k**2 + 0*k. Calculate the least common multiple of 25 and g(14).
275
Let p = 10 + -6. Suppose -p*y + 17 = -19. Calculate the lowest common multiple of y and 10.
90
Let f = 30 + -9. Suppose -d + f = 3*k, 6*d - d = -2*k + 92. What is the lowest common multiple of 10 and d?
90
Let b = 46 + -76. Calculate the common denominator of (3/(-4))/(b/(-590)) and 15/52.
52
Calculate the smallest common multiple of 4 + ((-730)/(-10) - 5) and 27.
216
Let k(b) = -b**3 - 9*b**2 - 7*b + 8. Let i be k(-8). Suppose i = 2*a + 2, 0*z + a - 2 = -z. Calculate the least common multiple of z and 9.
9
Suppose 47*d + 540 = 59*d.