 52 = -2*g + 82*k, -g - k = -22. What is the lowest common multiple of 48 and g?
48
Suppose -65 = -3*q - 2*c, -15*q - 82 = -19*q + 2*c. What is the least common multiple of q and 168?
168
What is the common denominator of 62/3 and (58/(-30)*21/(-105))/(-1)?
75
Let b = -319 - -3193/10. Calculate the common denominator of b and (-4)/(216/363) + 1.
90
What is the common denominator of (438*(-11)/(-396))/(250/(-4)) and -127/6?
750
Let k(b) = b**3 + 4*b**2 + 2*b - 1. Let f be k(-3). What is the lowest common multiple of 12 and -19 + 22 - f/(-2)*13?
48
Let u(m) = m**2 - m. Suppose -3*k - 7 = 4*k. What is the least common multiple of u(2) and (-4 - (-1 + k))*(-15 + 4)?
22
Let z = -9391321/120 - -78260. Find the common denominator of z and 137/120.
120
Let n = -985/3 + 8021/24. Calculate the common denominator of -29/514 and n.
2056
Find the common denominator of 19/91 and -1 + 242/12 - 8/(-8).
546
Suppose 4*h - 3*p - 95 = 0, 0 = 5*h - 3*p + 5*p - 90. What is the least common multiple of 75 and h?
300
Let a(y) = -5*y**3 + y**2 + y + 1. Suppose 2*j + 3*n = 7, 5*j + 2*n = -3*n + 20. What is the smallest common multiple of a(-1) and j?
30
What is the common denominator of -2 - 1132/(-416) - (-14)/91 and 1/5 + 196/40?
40
Let d(h) = h + 14. Let y(r) = 3*r + 41. Let b(s) = -11*d(s) + 4*y(s). Let l = 20 - 8. What is the lowest common multiple of 4 and b(l)?
44
Suppose 27*o - 495 = 2502. Calculate the least common multiple of o and 24.
888
Let a(x) = -x**3 - 2*x**2 + 7*x + 5. Let s be a(-4). Suppose -5*o - 4 = -s*o. Calculate the least common multiple of 10 and o.
10
Let k = -9402482 - -2444648701/260. Let m = k + -151/52. Calculate the common denominator of m and -89/6.
30
Let s = -2/30539 - -2779109/916170. Find the common denominator of s and 72/(-5)*72/(-192).
30
Let m = -2285 - -162216/71. What is the common denominator of -43/9 and m?
639
Let j be ((-2)/((-4)/6))/(30/20). Suppose -5*x + 215 = 5*y, -1 - 85 = -j*y - 3*x. What is the least common multiple of 10 and y?
430
Let u(s) = s**2 + 5*s + 3. Let c(t) = t + 1. Let x(q) = 5*c(q) + u(q). Let h be (0 + 10)*(1 - (2 - 0)). Calculate the smallest common multiple of x(h) and 16.
16
Let z(q) = q**2 + 10*q + 6. Suppose -5*r - 11 = 39. What is the least common multiple of z(r) and 12?
12
Let k = 2/2235 + -1879/1788. Calculate the common denominator of k and 83/64.
320
Let t = -12 - -15. Let s be (t + (-9)/2)*-20. Let l = -12 + s. Calculate the lowest common multiple of 4 and l.
36
Let n(m) = 3*m - 76. Suppose 10 - 2 = 2*o. Suppose 0 = o*g - 0*g - 4. Calculate the lowest common multiple of g and n(26).
2
Suppose l = -m - 10, -1 = -2*l + 4*m - 21. Let j be (12/(-10))/(3/(-50)). Let n = j + l. What is the least common multiple of 20 and n?
20
Let n be (-8771)/(-12) + (-23)/(-23). Let f = 736 - n. What is the common denominator of 101/24 and f?
24
Let j = -8 + 6. Let v be (j + -21 - -3)*1. Find the common denominator of (v/(-14))/((-84)/(-1421)) and 75/8.
24
Suppose 2*d = -2 + 8, -4*u - 15 = -5*d. Let o be -3 - u*(-2)/6. Calculate the lowest common multiple of 2 and o + (22 - 6/(-2)).
22
Let n = -16 - -20. Suppose d - 1 = 2*y - 11, -y - 9 = -n*d. Find the common denominator of -7/6 and (-2)/y + (-1495)/819.
18
Suppose -5*g = -6 + 31. Let u = 14569/1735 - -1/347. What is the common denominator of u and (34/g)/(24/(-70))?
30
Let v = -1247 + 17545/14. Find the common denominator of (-467)/56 - (-4)/(-14) and v.
56
Let t(l) = l**3 + 6*l**2 - 9*l - 7. Let n = 472 - 294. Find the common denominator of t(-6) and 3/(-6) - n/(-16).
8
Calculate the lowest common multiple of 14/(2 + (-27)/18) and (-1)/(((-14)/24)/7).
84
Let o be (2/(-8))/(11/(-78958)). Let p = 1749 - o. Calculate the common denominator of 612/320 - 2/(-5) and p.
16
Let q = 2/387 + -29029/774. Find the common denominator of 68/81 and q.
162
Let o(r) = -r**3 - 6*r**2 + 5. Let y be o(-6). Suppose y*j = c - 76, 32 = -c - j + 120. Calculate the common denominator of c/(-56)*6/3 and 23/8.
56
Calculate the common denominator of 6 - (53/(-5) - -4) and 25/9.
45
Let h(x) = 37*x + 1. Let g be h(5). Calculate the lowest common multiple of g/9 - (0 + 10/15) and 40.
40
Suppose -2*z + 54 = -50. Find the common denominator of (3 - z/20)/(8/(-37)) and 79/32.
160
Find the common denominator of -47/8 and 2*(-10)/(-8) - 9396/3710.
14840
Find the common denominator of ((-214)/(-14))/(954/(-371)) and 91/6.
18
Let j = -209623/10569 - -3/7046. Suppose -5*t + 66082 = 7382. Let m = t - 234911/20. Find the common denominator of m and j.
60
Calculate the common denominator of 575/(-96)*(-20)/(-50) and -65/16.
48
Suppose 0 = -9*y + 14*y + 45. Let p(h) = h**2 + 7*h - 11. Calculate the smallest common multiple of p(y) and 2.
14
Suppose -3*v = -4*l - 250, 4*v = 4*l + 167 + 173. Let w(p) = 4*p + 2. Calculate the smallest common multiple of v and w(3).
630
Calculate the common denominator of (-73)/2*(-1)/(-22) and (((-6)/195)/(-1))/(136/(-3825)) - -2.
572
Suppose -13*u = -51*u + 380. Let f = -68 + 131. What is the smallest common multiple of f and u?
630
Let g(o) = 3*o - 43. Let z(s) = -3*s - 25. What is the smallest common multiple of z(-13) and g(17)?
56
Let r = 2/27 + -1165/54. Calculate the common denominator of r and -8/55.
110
Suppose 0 = r - 26*r + 78200. What is the least common multiple of r and 16?
6256
Suppose 0 = 6*k - 2*k - 2*m - 254, 4*m = -k + 77. What is the lowest common multiple of 20 and k?
260
Let z = -979 + 20611/21. Let v = -1895/306 + 7/51. Find the common denominator of v and z.
126
Suppose 71 = -12*y - 25. Let n be (-5)/(10/24) - 2. What is the lowest common multiple of 18 and ((-49)/n)/((-2)/y)?
126
Let f be (-2 + 0)/((-10)/25). Suppose 12 = -2*g - 3*r, f*g + 27 + 3 = -5*r. Calculate the common denominator of 89/12 and ((-3)/g)/((-7)/13).
84
Let n(h) = 2*h**2 + 3. Let v(p) = 10*p**2 + 24*p - 52. Calculate the smallest common multiple of v(2) and n(-3).
252
Suppose 7*i - 10*i + 56 = -4*p, 2*p = -3*i + 62. Calculate the lowest common multiple of i and 342.
3420
Let x(h) = 18*h + 8. Let o be x(1). Calculate the lowest common multiple of (-2)/13 - (-30)/o and 19.
19
Let y be -2 + ((-26295)/(-4375))/3. Let d = -4003/875 + y. Find the common denominator of -50/61 and d.
427
Let f = 32909/20 + -1647. What is the common denominator of -9/10 and f?
20
Calculate the smallest common multiple of 60 and 6 + (58 - (-1 - 1)).
660
Let g be ((-4)/(-10))/(1/(-25)). Let j be (-18)/g + (-5)/(-25). Suppose j*k + 3*k = 15. What is the least common multiple of 7 and k?
21
Let r be (20/(-15))/(2/(-30)). What is the common denominator of 393/r + (-2)/5 and 1/10?
20
Let a be (-1 + 14262/8)/9. Let x be (-15)/(-12)*(-1538)/10. Let i = a + x. Calculate the common denominator of 143/18 and i.
18
Suppose -15 = 4*c - 7*c. Suppose c*q - 38 = 3*u, -4*q - 7*u + 9*u + 32 = 0. Let f = -14 + 28. Calculate the smallest common multiple of q and f.
70
Let q = -21445/2 - -9945. Let x = 827 + q. Calculate the common denominator of x and 109/10.
10
Let t = 14347/13208 + -39/254. What is the common denominator of t and 41/80?
1040
Find the common denominator of -1 - (-359)/180 - 7/(-35) and 17/56.
504
Suppose 2*x = 674 + 1090. Find the common denominator of (-2)/7 + 4613/x and 115/18.
18
Let b(q) = 0 - 1 + 0 - q + q**2 - 15*q**3. Let c be 1*(-2 + 2 + -1). Calculate the smallest common multiple of b(c) and 20.
80
Let x = -1145 + 3382/3. Find the common denominator of x and ((-1)/(-11)*-82)/(-2).
33
Suppose -2*z + 3*z = -5*w + 27, 2*z = 2*w + 30. Let t = 20 - z. Let u = 7 + t. Calculate the smallest common multiple of u and 2.
10
Let a = -487 + 490. Calculate the smallest common multiple of 9 and a.
9
Let c = 8650 + -5544648/641. Let z = 41669/1282 - c. Let y = z + -32. What is the common denominator of y and 29?
2
Suppose -5 = -5*a + 2*x, -3*a - 3*x + 3 = -0*a. Let b be a*417*3/(-29). Let c = -57095/1218 - b. Find the common denominator of c and -25/22.
462
Let g = -4267/6 - -714. Calculate the common denominator of 192/18 - (-1 - (-3 - -2)) and g.
6
Find the common denominator of (-180)/864 - (-4)/(-6) and 79/26.
104
Suppose -2*c - 1236 = -1316. What is the least common multiple of 14 and c?
280
Let j be (387/(-636) - -1)/((-28)/(-110)). Let q = 1/424 - j. Find the common denominator of q and 5/18.
252
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