)/(-3))/((-23)/(-2)). Let l = q - -94/23. Let a = -13858/9 + 1542. Find the common denominator of a and l.
9
Let a = 202748/3 - 65838. Let v = a + -1769. Calculate the common denominator of 41/3 and v.
3
Let y be (-2)/5 + (-274)/(-10). Let c = y - 17. Suppose 5*s + c = 3*u - 60, 2*s = -2*u + 36. What is the lowest common multiple of 4 and u?
20
Let q = -4/1743 - -20725/1162. Calculate the common denominator of q and 47/72.
72
Let d = 3/4 - 11/20. Let x = -2/15 - d. Let i = -357/10 - -33. Calculate the common denominator of i and x.
30
Let w be -6*3/(-6) - -20. Suppose 10 + w = 3*n. Suppose 8 = 4*f - 4*h - 0*h, 5*f - 18 = h. What is the least common multiple of n and f?
44
Suppose -2*b = 3 - 9. Suppose b*t - 35 = -h, 57 = -t + 6*t + h. Let n(q) = -q**2 + 5*q + 7. Calculate the smallest common multiple of t and n(4).
11
Let s = 380/9 + -539/9. Let q = -35 + 63. Calculate the common denominator of 198/q + 1/2 and s.
21
Suppose l + 88 = 5*l. Let w = -102 + 114. Calculate the smallest common multiple of w and l.
132
Let i = -5973/2800250 + 7/4870. Let u = i + 166764/20125. Calculate the common denominator of u and -43/4.
28
Let j = -250 - -178. What is the common denominator of 1 + 482/j + 2 and 79/4?
36
Let k(t) = t + 8. What is the smallest common multiple of k(10) and 284?
2556
Let x(t) = t**3 + 9*t**2 - t - 10. Let j be x(-9). Suppose 0 = 3*z - 12, -4*y + 3*z = 3 + 5. What is the lowest common multiple of y and (j + 0)/((-10)/40)?
4
Let a = -1514/23 - 5161/184. Let r = a - -94. What is the common denominator of (-2)/(-2 - 556/(-266)) and r?
24
Let p(u) be the second derivative of u**4/3 - u**3/6 + 4*u. Let o = 8 + -2. Calculate the least common multiple of o and p(1).
6
Let p = 19 + -10. Find the common denominator of -47/7 and (112/18)/((-9)/p).
63
Let t be 0/(2/(-1) + 0). What is the common denominator of -85/22 and (t - 1)*(-23)/(-4)?
44
Let q = 54 + -53. What is the least common multiple of q and 4?
4
Let d = -1/241 + 1689/482. Suppose -9*p + 42 = -6*p. Find the common denominator of (-4)/p + 1077/(-126) and d.
6
Suppose 138*q = 143*q - 80. Suppose -4*i + 22 + 12 = 3*j, -20 = -j + 3*i. Calculate the least common multiple of j and q.
112
Suppose 3*n - 7*n = 0. Let p = -11 - -15. Suppose 8*v - 24 = p*v - 4*y, n = -y + 4. What is the least common multiple of 6 and v?
6
Let g(u) = -4*u - 9. Let d be g(10). What is the common denominator of 63/16 and -1 + (4 - d/4)?
16
Suppose 5*s = -4*a + 48, 5*s - 2*a - 20 = 16. Suppose -7*m = -62 + 13. Calculate the lowest common multiple of s and m.
56
Let c = 8 + -6. Calculate the least common multiple of (-2 + 2 + 20)/c and 1.
10
Let g = 2862 - 10527. Let m = 168659/22 + g. What is the common denominator of m and (77/(-6))/(2/(-3))?
44
Let d = 303/2 - 148. What is the common denominator of 0/(-2) + (-57)/22 and d?
22
Let q = -12 + 19. What is the least common multiple of q and 8?
56
Let o = -1/2168 - -155021/19512. Suppose 0*q - 5245 = q. Let y = 83843/16 + q. Calculate the common denominator of y and o.
144
Suppose -6*v + 4*v + 32 = 0. What is the smallest common multiple of 22 and v?
176
Let o(i) = -27*i**2 + i + 2. Let d be o(-2). Calculate the common denominator of (-8)/36 - 15/d and -55/12.
12
Let m = -6/121 - -1/242. What is the common denominator of (-2)/5 + (-1042)/(-180) and m?
198
Let s = 27177/5780 - 15/289. Find the common denominator of -55/2 and s.
20
Find the common denominator of 137/12 - (5/(-5) - 0) and (-23)/(-2) - 2/8.
12
Let p = 488 + -941/2. Let v = 1/1141 + -3750/1141. Find the common denominator of v and p.
14
Let r be (-4)/(-14) + 480/35. Calculate the common denominator of 7/(-5) + 2/(-8) and (r/16)/((-4)/22).
80
Let f = -913178 + 3625964. Let q = f - 387926562/143. Let c = q - 200/13. Find the common denominator of 37 and c.
11
Let c be (4/2 + -1)*4. Suppose -6 + 14 = -i + c*o, -5*i + o + 17 = 0. What is the smallest common multiple of i and 2?
4
Let g = -2567 + 35963/14. Calculate the common denominator of g and (0 - 1)/(2/79).
14
Let v = -342/7 + 985/14. Calculate the common denominator of v and ((-2)/4)/((-16)/42).
16
Let c = -70625/6808 + -1/851. Calculate the common denominator of -30 and c.
8
Let c be 8/(-2)*3/(-6). Let z be 27/12*c*-2. Find the common denominator of (-7)/z + 2 + -2 and -9/8.
72
Suppose 5*t = -f - f + 16, 2*t + 3*f = 2. Suppose -t*k + 8 - 12 = 0. What is the common denominator of ((-1)/k)/(22/(-28)) and 11/6?
66
Let a(v) = -v**3 + 5*v**2 - 2*v - 6. Calculate the lowest common multiple of 30 and a(3).
30
Let k = 10 + 9. Suppose 4*o - 59 + k = 0. Calculate the lowest common multiple of 12 and o.
60
Let i(s) = 2*s**2 - 7*s - 8. Suppose b + 2*r - 10 = 0, 4*r - r + 18 = 4*b. Calculate the smallest common multiple of 20 and i(b).
220
Calculate the common denominator of ((-86)/6)/(4/3) and 74/8*(-3)/(-15).
20
Let h = 9/13936 - 670179/1937104. Let y = h - 8747/834. Calculate the common denominator of 67/4 and y.
12
Suppose 2*u - 14 = 2. Let h(m) = m - 5. Let l be h(u). Calculate the least common multiple of 13 - (2 - (-2 + l)) and 10.
60
Let k = -16157/9 - -1787. Calculate the common denominator of 20 and k.
9
Suppose -3*a = 2*a + 235. Suppose 2 = 4*v + 4*s - 6, -s = -5*v + 10. Find the common denominator of a/(-2)*v/(-4) and 109/20.
20
Let k(o) = -o**3 + 5*o**2 + o + 5. Let p be k(5). Let l = p - 8. Find the common denominator of (l + (-11)/6)/3 and -121/18.
18
Let d be 15/(-9)*(0 + -3). Let t = d + 18. Suppose 0 = -2*j + 2*s + 2*s + 20, 3*j - t = -s. Calculate the least common multiple of j and 2.
8
Let h(x) = 11*x. Let o be (4/12)/((-2)/(-6)). What is the least common multiple of h(o) and 6?
66
Let b = 15 + -37. What is the common denominator of 73/22 + (-4)/b and -7/8?
8
Suppose 4*h - 2 = a - 8, 4 = -4*h + 2*a. What is the smallest common multiple of 5 - h*4/8 and 2?
6
Suppose 0 = -k + 2 + 5. Let r(t) = -t**3 + 9*t**2 - 7*t + 4. Let u be r(k). Let s = -33 + u. What is the least common multiple of s and 8?
40
Suppose -2*w = -0*w - 8. What is the smallest common multiple of 5/(-10)*-4*3 and w?
12
Let f = 11257/5 - 2262. What is the common denominator of f and 33/27 - 1 - (-37)/(-9)?
45
Let d = 3/401 + 34079/802. Find the common denominator of 87/4 and d.
4
Let k be (-8)/(-2484)*(-172698)/(-104). Let j = 21/299 - k. Calculate the common denominator of -95/8 and j.
72
Suppose 0*z = 5*z + 95. Let v = z + 39. What is the smallest common multiple of v and 50?
100
Suppose a + 2*p + 513 = 0, 0 = -0*a + a + 5*p + 501. Let j = -159 - a. Let u = -1831/5 + j. Find the common denominator of -81/4 and u.
20
Let k = -13 + 29. Suppose -2*i = -k - 12. What is the smallest common multiple of 4 and i?
28
Let k = 2464 - 14743/6. Calculate the common denominator of (-108)/16 - 2/(-4) and k.
12
Let t = 3652 + -2454. Let r = 4619/4 - -15/4. Let z = t - r. What is the common denominator of -29/6 and z?
6
Suppose 4*x - 4*j - 80 = 0, -3*x = j - 29 - 31. What is the least common multiple of x and 14?
140
Let m(n) = 22*n - 16*n - 12*n. Calculate the smallest common multiple of 11 and m(-1).
66
Let q(z) = 19*z**3 - 2*z**2 + z. Let l be q(1). Suppose 0 = t + 2*g + 9, 0 = -5*g - l - 2. What is the lowest common multiple of 3 - (t - 1 - 0) and 2?
10
Suppose -f - 18 = -w, 2*w = -2*w - 5*f + 72. Calculate the least common multiple of 14 and w.
126
Let v be (-2)/(-10) + (-2)/10. Suppose v = -0*g - 2*g + 100. Calculate the common denominator of 1 and ((-3)/(-4))/(12/g).
8
Suppose 3*x - 5*x = -g - 126, 5*x + 4*g = 302. What is the common denominator of 9/(-2)*x/(-6) and 90/8*2/(-4)?
8
Let v(p) = -p**3 - p**2 + 2*p + 2. What is the lowest common multiple of v(-3) and 6?
42
Suppose 5*y + 275 = 8*m - 3*m, 5*m + 3*y = 315. What is the common denominator of -71/18 and ((-117)/m)/((-24)/10)?
144
Let c(q) = -q**3 - 9*q**2 - 9*q + 6. Let b be c(-8). Let h = b - 4. Let g = 23 + -17. What is the smallest common multiple of g and h?
30
Let u = 0 + -1. What is the common denominator of -43/12 and (255/(-6))/(u - 10)?
132
Suppose 0 = -j - f - 1, -5*f - 15 = j + 2. Calculate the common denominator of (-188)/6*j/4 and 123/(-14) + (-2)/(-7).
2
Let w be (-3 - -2 - -4) + 1. Let o(f) = -f**3 + 4*f**2 + 3*f - 5. Calculate the smallest common multiple of o(w) and 9.
63
Suppose -5*d + 22 = 2. Calculate the common d