t m be 1*(2 + -2 - o). Suppose -3*z + 7*z - 40 = m. What is the least common multiple of 4 and z?
20
Suppose -v + 1 = 5, 0 = -2*r - 5*v + 834. Calculate the common denominator of -4 + (-98)/(-4) + -4 and 4/(-10) - r/(-30).
6
Let d be ((-1)/(-2))/(1/(-2)). What is the lowest common multiple of 7 and d/(-2) - (-63)/6?
77
What is the common denominator of 85/2 and (2 - 1)*((-2418)/(-28))/13?
14
Let t = 3 - -26. Let k = -20 + t. Suppose 2*s = 7 - 1. Calculate the lowest common multiple of k and s.
9
Let o = -18 - -24. Calculate the lowest common multiple of 1 + 7 + 0/(-2) and (-10)/60 + 133/o.
88
Suppose 0*r + 4*r - 48 = c, 0 = -r + 4*c + 12. What is the smallest common multiple of r and 38?
228
Let u(m) = m**3 + 14*m**2 + m + 4. Let q be u(-12). Calculate the common denominator of -71/8 and (-2)/(-5) + 2723/q.
8
Let t(s) = -s**3 - 5*s**2 - 6*s - 6. Let g(x) = -x**3 - 3*x**2 + 4*x - 4. Let k be g(-4). What is the smallest common multiple of 7 and t(k)?
14
Let t = 5 - 2. Suppose 3*j + 4*u + 14 - t = 0, -4*j - 5*u = 13. What is the least common multiple of 1 and j?
3
Let h(k) = k**2 - 6*k - 2. What is the common denominator of h(-4) and 77/8?
8
Find the common denominator of 79/20 and (1/55)/(20/(-3950)).
220
Let l = 1925/744 + 7/186. What is the common denominator of l and 6/(-15) - 21/60?
8
Let h be -17 + (0 - (-4)/4). Let n = 27 - 19. What is the smallest common multiple of n and h*(1/(-2))/1?
8
Let q = -3/463 - -6491/1389. Calculate the common denominator of (-1)/(-3) + (-339)/(-90) and q.
30
Let i = -2/3689 - -140192/18445. Find the common denominator of (3*(-2)/75)/((-4)/555) and i.
10
Let x = -172503/23630 + 2/11815. Calculate the common denominator of -91/20 and x.
20
Let n(t) = 75*t**3 - 3*t**2 + 2*t + 2. Let h be n(-3). Let a = h - -18478/9. Let c = 2212/3 - 730. What is the common denominator of a and c?
9
Let q = 35358/11 - 3212. What is the common denominator of 19/11 and q?
11
Calculate the common denominator of -9 and (-17)/(-15)*(-42)/4.
10
Suppose -c = -5*c. Let q be 15 + (-1)/((-2)/2). Let v = q + c. What is the least common multiple of v and 12?
48
Suppose 3*p + x - 3090 = 0, 2*p + x - 2059 = -0*p. Let v = -4165/4 + p. Calculate the common denominator of v and 41/4.
4
Let z = -7 + 29. Calculate the smallest common multiple of z and (-17)/(-3) + (-2)/(-6).
66
Calculate the common denominator of (-2)/11 - (-6699)/(-2420) and 1/(-3) - 137/6.
60
Let z(r) = 7*r**2 + r + 1. Let k be z(-1). Suppose -1 = -o + k. What is the lowest common multiple of o and 6/15 + 38/5?
8
Let p(f) = -2*f**2 - 3*f - 2. Let u be p(3). Let l = u + 43. Calculate the least common multiple of l and 12.
84
Calculate the common denominator of -33/4 and ((-2058)/56)/(6/(-4)).
4
Let i = -1067/2 - -2688/5. What is the common denominator of 1574/36 + 12/(-54) and i?
10
Let u be 1/(-3) + 19292/96. Let a = u + -201. What is the common denominator of 1/(-2) + 57/(-16) and a?
16
Let t = 34765/8 + -4339. Calculate the common denominator of 13/18 - (-2)/6 and t.
72
Let j = 4937111/204 - 281808/17. Let z = j - 7617. Find the common denominator of z and -89/14.
84
Suppose 4*d - d = 903. What is the smallest common multiple of d/13 - (-2)/(-13) and 11?
253
Suppose 3*u - 25 = 5. Suppose 3 = -g + 11. Calculate the least common multiple of u and g.
40
Let d = -14/101 + 6649/606. What is the common denominator of d and -9/11?
66
Suppose 6 = -c + 1. Let l = c + 3. Find the common denominator of ((-2)/(-14))/(l/74) and -8/5.
35
Suppose u + 1 = 4. Suppose 2 - u = -m. Calculate the lowest common multiple of m and 4.
4
Let a = -519301/130860 - 14/3635. Calculate the common denominator of a and -79/18.
36
What is the common denominator of (-1 + 43/(-2))/14 and -21/8?
56
Suppose 32 = 2*n + 2*m, 2*m + 9 + 85 = 5*n. Let r = -2 + n. Calculate the least common multiple of r and 2/(-9) - (-1274)/63.
80
Let n(c) = 2*c. Let v be n(7). Calculate the common denominator of 99/8 and 20/v*(-24)/15.
56
Let n = 643579/236430 + 2/13135. What is the common denominator of 97/114 and n?
342
Suppose 4*u - 7*u = -33. Suppose 0 = -2*w - w + 30. What is the lowest common multiple of w and u?
110
Let h(n) = n**2 - 5*n + 4. Let k be h(4). Suppose k*o + 2*o = -50. Calculate the lowest common multiple of 20/(-6)*90/o and 18.
36
Find the common denominator of 4/1 + (-856)/64 and 15/4.
8
Let m(a) = -4*a**2 - a - 1. Let j be m(-1). Let h(k) = 2*k**3 - 3*k**2 - 2*k - 1. Calculate the least common multiple of h(3) and 22 + j - (0 - -2).
80
Let n(x) = x**3 - 7*x**2 + 8*x - 8. What is the smallest common multiple of 20/80 + (-30)/(-8) and n(6)?
4
Let l be 430988/261*(-37590)/16. Let u = l - -3879526. Let m = u - -2/29. What is the common denominator of 17/20 and m?
60
Let g = -174654557/12 + 14546085. Let p(j) = j + 8467. Let m be p(0). Let i = g + m. Calculate the common denominator of i and 59/8.
24
Suppose -4*q - 5*k - 19 = 0, -3*q + 4*q + 1 = -5*k. Let v = 3 - q. Calculate the lowest common multiple of 3 and v.
9
Suppose 6 = -2*j - 10. Let g = -73/2 - -153/4. What is the common denominator of g and j?
4
Suppose 4*x - 10 = 3*x - 4*z, -4*z = 3*x - 30. What is the smallest common multiple of x and 15?
30
Let z be (0 - 1)/(2/(-12)). Suppose -14 = -10*g + 3*g. Calculate the least common multiple of g and 111/z - (-1)/(-2).
18
Let a(c) = c**2 + 2*c + 2. Let y be a(-2). Calculate the smallest common multiple of 2 and y + (3 - 2) + 0.
6
Let d(j) = j**2 + 27*j + 53. Calculate the lowest common multiple of d(-25) and 11 - 1*(0 + 1).
30
Let m = -311759712163/24968 - -99890879/8. Let w = -2/9363 + m. Let j = -453/14 + 125/7. Find the common denominator of j and w.
6
Suppose c = 55 + 236. What is the common denominator of 99/4 and -1 + c/(-54) + 3?
36
Let c(x) = -x - 2. Let u be c(2). Let o(m) = -4*m - 6. Let q be o(u). Let f = q + -4. Calculate the least common multiple of f and 9.
18
Let g = -1117/6 + 86753/466. Let d = -5353/4194 + g. What is the common denominator of 33/4 and d?
36
Let s = -23549504271/6466180 - -1/323309. Let k = -3639 - s. What is the common denominator of 57/10 and k?
20
Suppose 0 = -2*m + 16 - 4. Calculate the lowest common multiple of m and 6.
6
Let t = 16448 - 296141/18. Let y = 48 + -769/16. Find the common denominator of y and t.
144
Let c = -1387 + 9739/7. Calculate the common denominator of c and 2/11.
77
Let i = -20233678/2035 + 49714/5. Let g = i + -23526/2035. Find the common denominator of 44/3 and g.
15
Let b(g) = 147*g**2 + 3*g - 7. Let r be b(3). Let y = -8075/6 + r. Calculate the common denominator of 89/6 and y.
6
Let v(d) = -7*d - 5 + 2*d + d**2 - 4. Calculate the smallest common multiple of v(7) and 4.
20
Let s = 1/360 + 71/40. Calculate the common denominator of s and 79/10.
90
Suppose 5*m - 65 - 10 = 0. Let o(x) = x**2 - 14*x - 11. What is the smallest common multiple of o(m) and 18?
36
Suppose 4*a + 0*t = -2*t + 48, -4*a + 52 = t. What is the least common multiple of 4 and a?
28
Let h(j) = -4*j**2 + j. Let i be h(-2). Let b be (-1)/2 + i/4. Let w = -3 - b. What is the lowest common multiple of 8 and w?
8
Let y = 36 - 32. What is the smallest common multiple of 10 and y?
20
Let v = 3149/909 - 2/101. Find the common denominator of 1/10 and v.
90
Let i be 1 + (-9419)/20 - 2. Let w be (-1213)/5*(-4 - -2). Let c = w + i. What is the common denominator of -97/6 and c?
12
Let v(k) = -3*k - 10. Calculate the smallest common multiple of v(-6) and 46.
184
Let i = 90175241/16 - 5633361. Let h = i + -10391/4. What is the common denominator of -27/16 and h?
16
Suppose n - 22 = -4*j + j, -10 = -5*j. Calculate the least common multiple of 40 and n.
80
Let a = 72 - 36. What is the common denominator of 70/(-12) + (-2)/(-1) and 85/4 + (-9)/a?
6
Let w be (8 + 11)*(-6)/37. Let y = w + 4495/222. Find the common denominator of -2/7 and y.
42
Let x = -2/291 - -295/582. Find the common denominator of x and 119/18.
18
Suppose 0*b + 4*b + 8 = 0. Let y(w) = w**2 - 12*w - 12. Calculate the lowest common multiple of 2 - b*(-14)/(-4) and y(13).
9
Let m = -173 - -203. What is the lowest common multiple of m and 72?
360
Let u(r) = -5*r + r**2 - 4*r + 2 + 4*r. Calculate the lowest common multiple of u(7) and 29 + -6 + -1*3.
80
Let j(q) = 3*q**2 - 10*q - 5. Calculate the smallest common multiple of j(5) and 12.
6