the common denominator of (5 - (-154)/(-21))*(-56)/232 and 41/48.
1392
Let s(p) = -p + 18. Let t(g) = g**2 - 5*g + 8. Let f be t(6). Let u be s(f). Suppose -u*j = -8*j + 36. What is the lowest common multiple of 9 and j?
9
Suppose -w = 3*w - 4. Let p = -226 + 234. What is the least common multiple of p and w - (-14)/(4 - 2)?
8
Let k = -25165 - -604049/24. Find the common denominator of k and -59/80.
240
What is the lowest common multiple of (3 + (-162)/45)*(-40 - 0) and -1*(2 + (-20)/1)?
72
Let a be 83 - (12/42 + (-24)/(-14)). Find the common denominator of -67/12 and (1 + 5)/(-12)*(-48)/a.
108
Let c be (-20685)/14*(-4)/36. Let b = c - 147. What is the common denominator of -77/20 and b?
60
Suppose 5*b - 4409 = 4*m + 13111, m + 4*b = -4380. Let p = m + 131491/30. Calculate the common denominator of 139/30 and p.
30
Let z = 150331/20 + -7513. Find the common denominator of 4 + (-27)/(-276)*-62 and z.
460
Let z(q) = 46*q + 770. Calculate the least common multiple of 20 and z(0).
1540
Let f = 5896/1379 - -2/197. Let y = 57540 + -6732140/117. Calculate the common denominator of y and f.
819
Let j(c) = c**3 - c**2 + c + 20. What is the least common multiple of j(0) and 10?
20
Let w = 489 + -484. Calculate the smallest common multiple of w and 444.
2220
Let p = 163 + -1809/11. Let h = 44582/315304473 + 8/48367. Let b = h + 567137/52152. Find the common denominator of p and b.
88
Let d = 11 - -5. Suppose -17*z + 9*z + 16 = 0. What is the least common multiple of (-2 + 0)/z - (-10)/2 and d?
16
Let q = -420 - -492. What is the least common multiple of q and 198?
792
Suppose b + 20 = -b. Let x = b + 13. Calculate the least common multiple of 16 and (-10)/6*(-36)/x.
80
Calculate the common denominator of 1/11 and (118/(-12))/(12423/(-369)).
2222
Let o = 191276/25 + -7649. What is the common denominator of o and 187/60?
300
Suppose -20*l + 200 = -10*l. Calculate the lowest common multiple of 50 and l.
100
Find the common denominator of -4 + 8 - 97*(-4)/(-120) and -35/4.
60
Find the common denominator of ((-3)/18*-2)/((-1152)/(-981)) and -7/5.
1920
Suppose 0 = -3*s + 5*t - 5, 0 = 4*t - 1 - 15. Let k be 60/(-73)*s/(-10). Let b = k - 2967/292. What is the common denominator of -149/12 and b?
12
Let q = -39 + 22. Find the common denominator of (q/5)/(12/15) and ((-6)/8)/(2/(-4)).
4
What is the common denominator of (-546)/132 + -7 + 8 and -24/5?
110
Calculate the common denominator of -89/30 and (-282)/(-2124) + (10/(-4) - -2).
1770
What is the least common multiple of 48 and (11 + -18)*176/(-14)?
528
Suppose 0 = 3*j - 45 + 24. Let d(x) = 6*x + 25. Calculate the least common multiple of d(j) and 8.
536
Let z = 144763/1038 - -64/173. Let i = 362/3 - z. Find the common denominator of 137/12 and i.
12
Let a = -11/1131 - 45551/6786. Let k = -33023/12 - -2750. Calculate the common denominator of k and a.
36
Suppose -8 = -8*g + 4*g. Let v be 6*(6 - g)/8. Suppose 2*n - v - 9 = -4*c, 2*n + 3*c - 12 = 0. Calculate the least common multiple of 2 and n.
6
Let d(g) = g**3 - 7*g**2 + 6*g - 6. What is the lowest common multiple of (-1 - -3)/(18/198) and d(8)?
1166
Suppose -8 - 28 = -4*d - 4*o, 54 = 4*d - 2*o. Suppose 3*y + 0 - 44 = -2*s, 2*s - 52 = -5*y. Calculate the smallest common multiple of d and s.
48
Suppose 5*d + 52*r = 56*r + 68, r + 62 = 5*d. Calculate the least common multiple of d and 20.
60
Let s = -4097 + 81833/20. What is the common denominator of -74/15 and s?
60
Suppose -3*i + 2*z + 29 = 0, -4*i + 3*z + z = -40. What is the lowest common multiple of i and 9?
9
Suppose -3*o + k + 21 = -5, 0 = -o - k + 6. Let w = 18 - 9. Calculate the smallest common multiple of o and w.
72
Let a = -41 - -76. Suppose -5*b = -15 - a. Suppose -36 = -4*p + 2*p. Calculate the smallest common multiple of p and b.
90
Suppose -9 - 15 = -2*k. Suppose 4*j - 2*f = 30, -j - 3*f + 2*f = -3. Let m = j - -4. What is the least common multiple of k and m?
60
Suppose -8*o = -4*o + 40. Calculate the common denominator of ((-3)/o)/(36/2490) and 55/2.
4
Let l = 73771473/10 - 7365151. Let q = l + -12007. Calculate the common denominator of q and -79/4.
20
Let w(z) = -4*z + 13. Let d be w(4). Let b be d*(8/3 - 2). What is the common denominator of (((-166)/(-18))/1)/b and 31/8?
72
Let b = 42873/22 + -3891/2. What is the common denominator of b and (-363)/60 + 0 + 1?
220
Let z be ((-11)/(-33))/(2/666). Find the common denominator of (z/8)/(33/12) and 101/12.
132
Let x = -1624 - -1785. What is the smallest common multiple of x and 184?
1288
Let x(k) = -k**3 + 3*k**2 + 7*k - 10. What is the common denominator of x(5) and 11/2?
2
Let i = 18479 + -960949/52. Calculate the common denominator of -115/24 and i.
312
Suppose -l + 3*i - 21335 = 0, 92496 = -4*l + 2*i + 7126. Let m = l - -640211/30. What is the common denominator of 19/18 and m?
90
Let h = 22863/70 + -1672/5. Calculate the common denominator of (1 + -4)*(-101)/12 and h.
28
Let m(i) = 2*i**2 + 7*i + 7. Suppose 2*s = 21 + 27. Suppose 59 = 5*r - 2*v - 25, -r = 2*v - s. Calculate the least common multiple of m(-5) and r.
198
Let r(q) = q**2 + 12*q + 8. What is the lowest common multiple of r(-12) and 61?
488
Let m be (18916/88)/((-1)/(-10)). Let p = -2147 + m. Calculate the common denominator of -21/2 and p.
22
Let s = -109760862667/111928 - -33341283/34. Let v = 14/823 + s. What is the common denominator of v and -53/2?
8
Let b(i) = -i**3 - 15*i**2 - 2*i - 29. Calculate the least common multiple of b(-15) and 4/6 + 110/15.
8
Let a = 146 + -83. Suppose -4*p - 83 = -5*q - 12, 5*q - a = 2*p. What is the smallest common multiple of q and 2/13 - 252/(-52)?
55
Suppose 72 = -l + 7*l. Suppose 170 + 35 = 5*w. What is the smallest common multiple of (-1)/1 - (6 - w) and l?
204
Let p(v) = -v**2 - 5*v - 4. Let b be p(-4). Let r = 12 - 7. Suppose -3*o = 4*n + 5, b = r*o + n - 3. What is the smallest common multiple of o and 5?
5
Let v be (-9500)/432*(-75)/(-20). Let x = v - -700/9. Find the common denominator of x and 25/14.
112
Let w = 42 - 127/2. Let o = 0 + -2. Calculate the common denominator of o and w.
2
Suppose 11*z - 3*z = 48. Suppose 77 = 5*b - 2*v - 31, 92 = 5*b + 2*v. Calculate the lowest common multiple of z and b.
60
Suppose -o - 2*i + 11 - 1 = 0, -2*o - i + 5 = 0. Let q be (o - -13)/(1 - 0). What is the lowest common multiple of 8/(-12)*3 + q and 8?
88
Suppose 5*m - 73 = -33. What is the least common multiple of 48 and m?
48
Calculate the common denominator of (3*2/216)/((-22)/(-1870)) and -62/45.
180
Let d(u) = -4*u + 0*u - u**3 + u + 5*u**2 + 0*u**3 + 1. Let l be d(3). Calculate the common denominator of -75/8 and (-715)/(-91)*9/l.
56
Let a = 1086959/182862 + 3/10159. What is the common denominator of a and 1 + -2 - 52/351?
54
Suppose 3*k + 195 = 3*z, -2*z - 5*k + 42 = -95. What is the smallest common multiple of z and 36?
396
Let x = 5755 - 103523/18. Let d = -1620 - -32383/20. Calculate the common denominator of d and x.
180
Let x be 14329/126 + -3 + 2/1. Let p = 961/9 - x. Find the common denominator of -3/4 and p.
36
What is the common denominator of -167/90 and ((-3)/((-108)/5))/(181/(-2715))?
180
Let q(z) = z**3 + 16*z**2 + 32*z + 23. Calculate the lowest common multiple of 4 and q(-13).
228
Let u = 2040/41 - 91769/1804. What is the common denominator of u and -25/16?
176
Calculate the common denominator of 91/396 and (-1356)/(-27)*((-1435)/(-240) - 6).
1188
Let l = 12135 - 242753/20. Find the common denominator of -97/6 and l.
60
Suppose 66 = 16*h + 2. What is the lowest common multiple of 8 and (-5)/(-2)*h/5?
8
Let z = -6725/2 + 188393/56. Calculate the common denominator of 53/208 and z.
1456
Let d = -2199/2 - -1062. Find the common denominator of d and 1/1 + (-64)/(-18).
18
Let r = 4910002/599 - 8197. Let w = -31739/4792 + r. Let f = 10017 - 120323/12. Calculate the common denominator of f and w.
24
Suppose 0 = 3*j + s - 19, -2*s + 17 + 13 = 5*j. Let a be (-16 - -14)/(2/j). Find the common denominator of ((-6)/a)/(54/1212) and -83/24.
24
What is the common denominator of -27/2 and -1 + ((-19720)/672)/(-17)?
84
Let i = 462 + -444. What is the lowest common multiple of i and 162?
162
What is the least common multiple of -4 + 14 + 36/(-12) and 77?
77
Let g(y) = -y**3 - 14*y**2 + 14*y - 12. Let w be g(-15). Find the common denomina