
What is the common denominator of ((-16)/40)/(24/285 - 2) and -97/208?
1456
Let m = 5729/28 + -795/4. What is the common denominator of m and 30/13?
91
Let i(k) = 3*k - 9. Let t = -1 + 3. Suppose -12 = -t*a + 12. Calculate the least common multiple of i(9) and a.
36
Suppose 11*a - 1373 - 3621 = 0. Calculate the lowest common multiple of 6 and a.
1362
What is the least common multiple of (-2*(1 - 0))/(130/(-5200)) and 72?
720
Let d be 4/18*45/1014. Let a = d + 11129/2535. Suppose -65 - 89 = 14*u. What is the common denominator of a and u?
5
Let f(d) = -11*d. Let w be 1 + 13 + (-7 - -7). Let y(t) = -t**3 + 13*t**2 + 14*t + 18. Calculate the smallest common multiple of f(-2) and y(w).
198
Let i = -205 + -266. Let a be 4 - (3 - 3846/8). Let b = a + i. Calculate the common denominator of 11/16 and b.
16
What is the least common multiple of 5 + -6 + (4 - 1*-35) and 19?
38
Find the common denominator of -27/29 and ((-44)/32)/(1/(-28)).
58
Suppose -5*d = -0*d - 635. What is the common denominator of (-6 - -4) + d/20 and -7/4?
20
Suppose 2*i + 3*i = -c - 16, -3*c + 3*i + 24 = 0. Suppose 5*q = 4*s - 23 - 32, 44 = 5*s + 2*q. What is the smallest common multiple of s and c?
20
Let i = -59515/6024 + 7/1506. What is the common denominator of i and ((-99)/12)/((-5)/(-6))?
40
Suppose 60 = -5*l - l. Calculate the lowest common multiple of l/(-4)*(3 + -1) and 2.
10
Suppose -2*g - 5*y + 48 = -0*y, 2*g + 4*y - 44 = 0. What is the lowest common multiple of 126 and g?
126
Let l = 55 + -49. Suppose l*o - o + 63 = 3*j, 5*j - 95 = 5*o. Calculate the smallest common multiple of j and 12.
48
Suppose 5*i = 3*j + 11, 2*i + 5*j - 2*j + 4 = 0. Let z = -14 - -32. Calculate the smallest common multiple of i and z.
18
Calculate the lowest common multiple of (10/4)/(-7 + 264/32) and 166.
166
Find the common denominator of 53/25 and 2 - ((-2)/2)/((-21)/99).
175
Let q = -42 - -57. What is the common denominator of 5/4 and 46/(-4)*8/q + 0?
60
Suppose 0 = -2*y - 5*o - 569, 4*y = -0*o + 3*o - 1151. Let u = -2325/8 - y. Calculate the common denominator of 161/60 and u.
120
Suppose -3*g = 385 + 329. What is the common denominator of ((-3)/18)/((-2)/g) and -75/4?
12
Let p(x) = x**3 - 10*x**2 + 2*x + 13. Let w be p(10). Let b = w - 25. Suppose 3*u + 0*u - 60 = 0. Calculate the smallest common multiple of b and u.
40
Calculate the least common multiple of 603/15 - -5*(-3)/75 and 150.
600
Let a(p) = -p**2 - 5*p - 4. Let m be a(-3). Let n be 3*m/(-18)*-33. Let i(c) = c - 9. What is the smallest common multiple of 14 and i(n)?
14
Suppose 3*s = -4*r + 10, 3*s - 2*r + 16 = -s. Let d be 3 + (s - (-1108)/(-8)). Let w = d + 143. Find the common denominator of w and -7/18.
18
Suppose 2 + 1 = -w + 4*v, -2*v = -6. Suppose -3*s + 88 = 5*u, -6*s - 3*u = -3*s - 96. What is the smallest common multiple of w and s?
36
Suppose -3*m + 5 = -10. Suppose -320 = -m*k + 2*i, -i + 2*i = -4*k + 243. What is the common denominator of -73/9 and (-34)/51 + k/48?
72
Suppose 2*y = -18 - 16. Let h = -8 - y. Suppose 11*p = h*p + 2. What is the least common multiple of 5 and p?
5
Suppose 3*j - 21 = -5*t, -6*t + t = -3*j - 9. Let a = -296 + 617/2. Calculate the common denominator of j/6 + (-711)/27 and a.
2
Suppose h = -0 + 4, -388 = -3*m + 2*h. Suppose 4*s = 8*s - m. Suppose 87 = 3*x + s. Calculate the smallest common multiple of x and 2.
18
Suppose -3*o - 4*n + 20 = 0, o - 2*o = 5*n - 25. What is the common denominator of (-95)/(-45)*(1 - o) and -13/6?
18
Let u = 13085/78 + -1009/6. Calculate the common denominator of -53/78 and u.
78
Let u = -4357 - -11279. Let k = u + -124729/18. Calculate the common denominator of k and -21/80.
720
Let b(c) = 23*c**2 + 9*c + 7. Let q be b(10). Let s = -815/116 - 827593/348. Let d = s + q. What is the common denominator of -151/6 and d?
6
Suppose -5*f = 3*n - 1000, -f = n - 6*n - 228. Let z = f - 1181/6. Calculate the common denominator of (1030/(-80))/(3/2) - -5 and z.
12
Let d(s) = s**2 + 6*s + 20. Let l be d(-6). Suppose 3*t - 26 = 3*y + 43, -t - 2*y = -l. Calculate the lowest common multiple of t and 10.
110
Let d = -204/19 - -7555/532. Find the common denominator of d and -25/12.
84
Let d be ((-12)/(-10))/(3/50). Suppose 0 = -v - d + 98. Suppose -3*q = -5*c - 33 - 41, v = 5*q + 3*c. Calculate the least common multiple of 6 and q.
18
Let f be 123/(-105) + (-6)/(-10). Let t = -40/21 - f. Find the common denominator of -42/5 and t.
15
Suppose -f - 3*f = -72. Let s be f/2 + 0 + 1. Calculate the common denominator of (3/(-3))/s*-82 and -59/10.
10
Suppose -f + 5 = -0*f. Suppose -v + 8*s + 36 = 3*s, 0 = -2*v - 5*s - 3. Calculate the least common multiple of v and f.
55
Suppose 13*a + 24 = 11*a. Let y = 6 + 5. Calculate the lowest common multiple of (a/(-14))/((-4)/(-28)) and y.
66
What is the common denominator of 127/24 and ((-172)/(-216))/(-1) + 2?
216
Calculate the least common multiple of ((-108)/15)/(2 - 83/40) and 3.
96
Let z(o) = -o. Let v(l) = -2*l - 20. Let i(j) = v(j) - 5*z(j). Calculate the least common multiple of 22 and i(10).
110
Let p(k) = 34*k - 26. Let c be p(6). Suppose -6*m = 58 - c. Let z(f) = 7*f - 6. What is the smallest common multiple of z(6) and m?
180
Calculate the common denominator of ((-147)/(-6))/((-4)/(24/3306)) and 31/22.
12122
Let f = 33 - 25. Suppose f*o = 9*o - 2. Calculate the lowest common multiple of 31 and o.
62
Find the common denominator of -19/132 and (4/(-12))/(148/629).
132
Let x = -21 - -185/4. Let d = x + -32. What is the common denominator of d and 13/8?
8
Let v = -219283/31704 + -1/10568. What is the common denominator of v and (-6 - -8) + -3 + 67/(-14)?
84
Suppose 2*w - 5*b = -17, 6*w - 9*w + 7 = -b. What is the smallest common multiple of w and 74?
148
Let v = 31609/15640 - 18/391. Find the common denominator of v and 9/55.
440
Let r(n) = 5*n**2. Suppose 0 = -4*k + k + 3. Let p = -996 - -1007. What is the least common multiple of p and r(k)?
55
Suppose 41 = 8*k + 17. Suppose k*t = -2*c + 27 - 7, c + 55 = 5*t. Calculate the lowest common multiple of t and 9.
90
Let k(j) = j**2 + 6*j + 3. Let y be k(-6). Let a be (2 - -962) + (6 - y). Let s = -7705/8 + a. What is the common denominator of s and -97/4?
8
Let l be (-1638)/135 - 2/(-15). What is the common denominator of 1 + ((-3)/l - 231/(-36)) and 17/39?
39
Suppose 4*l = 4*m - 12, 0 = -0*l - 5*l + 4*m - 12. Suppose l + 11 = p. Suppose -p = d + 5*i, 2 = -5*d + 3*i + 59. What is the least common multiple of d and 7?
63
Let s = -26704 + 3070931/115. What is the common denominator of s and 37/20?
460
Let n = 49 + -99. Let s = -28 - n. Calculate the smallest common multiple of (2/4)/((-2)/(-88)) and s.
22
Find the common denominator of 10/3 and 10/(600/(-126))*2/1.
15
Suppose 4*g + 4*n = 12, -g + 3 + 12 = -5*n. Let y = 10 + 1. Calculate the lowest common multiple of g and y.
55
Let b be (-1)/(-36)*4/617. Let j = -75896/27765 + b. What is the common denominator of j and (-4)/10 - (-199)/10?
30
Let v = 2310 - 9319/4. Let m = -18170 + 490664/27. Find the common denominator of m and v.
108
Suppose -c - 239 = -5*x, 0 = -2*x - 0*c + c + 98. Let o = -61 - x. What is the common denominator of 1/14 and 22/(-6)*o/(-32)?
56
Suppose -3*r - 5*g + 559 = 0, 5*r + 11*g - 939 = 10*g. Calculate the smallest common multiple of 10 and r.
940
Let f(n) = -n + 20. Let w be f(16). Suppose w*k - k = -30. Find the common denominator of 61/6 and 8/(-16) - (-23)/k.
30
Suppose -t = 2 + 1. Find the common denominator of ((-1)/(t/(-87)))/2 and -91/10.
10
Let o = -306 - -314. Calculate the least common multiple of 432 and o.
432
Let z be (0 - (-3 - -1)) + -2. Let w be (1 + z)/((-3)/(-9)). What is the lowest common multiple of (4/w)/((-5)/(-15)) and 8?
8
Let l = -1235447/54 + 22878. Calculate the common denominator of -137/30 and l.
270
Let t = 345402 + -1393103/4. Let h = -2889 - t. Let z = -1623/5 - -10163/30. What is the common denominator of h and z?
12
Let p = -120 + 130. Let a = 1407/4 + -4501/12. Calculate the common denominator of ((-92)/p)/(54/(-15)) and a.
9
Let g be 188344136/(-403730195)*1799/70. Let q = g - 2/10794925. Let l = q + 210/17. Calculate the common denominator of l and 15/4.
44
Let j(a) = -3*a - 9. Let s be j(-4). Suppose s*i = -0*i - 6. Calculate the smallest common multiple of 4 and (6 + 1)/(-1)