(-12). Find the common denominator of (-3)/(396/46)*-3 and 4 + c/((-120)/87).
220
Suppose 13*n - 185 = 8*n. Let l = -35 + n. What is the least common multiple of l and 9?
18
Calculate the common denominator of 25/44 and (-258)/(-120)*1 - (-15)/(-20).
220
Let f = 103 + -83. Calculate the least common multiple of 3 and (-2)/f*-4*(4 + 26).
12
Suppose -4*r - 4*m = -1348, -3*r - 380 + 1390 = 4*m. Calculate the least common multiple of r and 18.
3042
Let q(t) = -t**3 + 7*t**2 + 6. Calculate the lowest common multiple of (-13)/(-4) + (-4)/16 and q(7).
6
Let n = 14 - 10. Suppose n*b + 17 = -19. What is the common denominator of -79/4 and -1 - (186/b + 3)?
12
Let i = 79913/16 - 4997. Let p = -2/6891 + 72741/9188. Calculate the common denominator of p and i.
48
Let l(x) = x + 7. Let f = 24 - 14. Let v(z) = z**3 - 9*z**2 - 10*z + 3. Let d be v(f). Calculate the lowest common multiple of 30 and l(d).
30
Calculate the common denominator of 55/2 and ((-732)/(-243) - 3)/(132/(-682)).
486
Let w = -12 + 14. Let u be (3 - -1) + (0 - w). Suppose -5*v + u*v + 6 = 0. What is the lowest common multiple of 2 and v?
2
What is the least common multiple of 144 and ((-49)/(-7) - 1) + 0?
144
Let j = -25 + 39. Suppose 0 = -4*r - 4, j = 3*k + 5*r - 5. What is the smallest common multiple of k and 10?
40
Suppose -34 = -5*b + 2*t, -b = 3*b + 4*t - 44. Let j = 12 + -10. Suppose -5 = -j*i - 4*s + 5, -18 = -5*i - 3*s. What is the lowest common multiple of b and i?
24
Find the common denominator of 141/140 and (140/(-25))/(-14)*33/(-56).
140
What is the common denominator of -35/27 and (-131)/36*(3 - 1)?
54
Suppose 37*t - 32*t = 245. What is the smallest common multiple of t and 42?
294
Let z = 664546417 - 8797930082320/13239. Let w = 1/1471 - z. Find the common denominator of w and (3/(-36))/((-1)/(-166)).
18
Let a = -20/83 - -3649/332. Suppose -2*u = 4*k - 0*u - 16, 2*k = 5*u - 16. Find the common denominator of a and 1 - ((-61)/(-18) + k).
36
Let k be ((-2)/(-8) - 0)/((-3)/12). Calculate the least common multiple of 22 and 19 + -2 - (k - -4) - 0.
154
Let a = -10 + 12. Suppose -8 = -3*o + i, 3*o - 2 = i - 3*i. Suppose -4*s + f = -1, -f = 2*s + o*s - 7. What is the least common multiple of a and s?
2
Let j = -16121 + 451447/28. Find the common denominator of j and 53/8.
56
What is the smallest common multiple of 4 and -5 + 18 + -7 - -6?
12
Let y = 64 - 15. Suppose 5*x - y - 61 = 0. Calculate the least common multiple of x and 12.
132
Let y = 1409/20 + -141/2. Let m be (-21 + 1)/(4/(-8)). Calculate the common denominator of y and (-304)/m*10/(-16).
20
Suppose -53 = -5*i + 127. What is the smallest common multiple of 60 and i?
180
Let p(a) = 4*a**2 - 12*a + 8. What is the smallest common multiple of 86 and p(3)?
344
Let p = -1801/20 + 947/10. Find the common denominator of p and 2 - (3/(-1) + 1357/598).
260
Let o = 12 - 8. Suppose -27 + 7 = -o*b. Calculate the smallest common multiple of b + 1 - 6/(-2) and 6.
18
Calculate the lowest common multiple of 105 and -5 - ((-1552)/60 - 18/135).
105
Suppose 3*i = 4*i - 6. Let c(z) = -z**2 - 12*z + 8. Let f(k) = -2*k**2 - 13*k + 8. Let s(d) = -3*c(d) + 2*f(d). What is the least common multiple of i and s(6)?
48
Let d = 2693/5 + -550. What is the common denominator of (26/(-110))/(4 + 21/(-5)) and d?
55
Calculate the common denominator of (-582)/63*(1 + 28/(-16)) and -17/98.
98
Let o be -1*1*(8 - -9). Let g = o - -12. Find the common denominator of -41/5 and (-10)/(-6)*(-26)/g.
15
Suppose -12*q + 15*q = 2*m + 41, -2*q + 28 = -m. Calculate the least common multiple of q and 36.
180
Let n(z) = -8*z - 47. Let a be n(-4). Let w(b) = -b**2 + 6*b + 4. Let q be w(8). What is the least common multiple of q/a*-1*-30 and 6?
24
Calculate the lowest common multiple of 250 and (-2)/((-24)/(-450))*(-8)/3.
500
Let r be 4/(0 - -8)*8. Suppose 5*c - 15 = 3*n, -r*c + 5*n - 7 = -c. Calculate the lowest common multiple of c and 14.
42
Let u = -188489/22320 + 1/2480. Calculate the common denominator of u and 46/9.
9
Let n = -8278/9 + 921. Let p = -404483/149464 - -3/8792. Calculate the common denominator of p and n.
153
Let t = 214 + -202. Calculate the least common multiple of t and 16.
48
Find the common denominator of 44/550 - (-4222)/(-900) and -73/48.
144
Let p = 136 + 60. What is the lowest common multiple of p and 8?
392
Let i(y) = y**3 - 4*y**2 - 9*y + 8. Let q be i(9). Let v = -204 + q. Suppose p - v = 5*p. Find the common denominator of p and -3/2.
2
Let l(g) = g**2 - 2*g. Suppose t - 4*t + 12 = 0. Calculate the lowest common multiple of t and l(3).
12
Let g = -41723/168 + 1730/7. Find the common denominator of -85/14 and g.
168
Suppose -589 = -4*n - 3*t, 3*n - 146 = 2*n - 2*t. Suppose -4*y + n = 44. Suppose 2*l = -8 + y. What is the smallest common multiple of 3 and l?
9
Let t = 4784 - 28639/6. Let s be 370940/63 + (-4)/(-14). Let r = -5896 + s. Find the common denominator of r and t.
18
Let x = 29 + -24. Suppose 2*s = 45 - x. Suppose -15 - 3 = -w. Calculate the least common multiple of s and w.
180
Let m = -256 + 278. What is the lowest common multiple of 2 and m?
22
Let z(p) = 3*p + 2. Let c be z(1). Suppose -6*t + 1 = -c. Calculate the least common multiple of t + (-2 - -2) - -4 and 10.
10
Let v = 1 - -4. Suppose v*b = 5*u - 72 - 258, -u = -3*b - 66. What is the common denominator of (-1)/3 + (-245)/u and -3/14?
154
Suppose 4 = -3*u + 28. Calculate the least common multiple of u and 121.
968
Suppose 0 = 3*u - 6*u - 522. What is the common denominator of u/(-8)*-2*6/216 and -139/6?
24
Let d = -853 + 1057. What is the smallest common multiple of 510 and d?
1020
Suppose 3 = -3*q + 4*k, 0 = 5*q - 3*k - 6. What is the common denominator of 192/(-9) - (q + -1) and 4/10 + 9 + (-69)/15?
15
Let a(r) = -r**3 + 6*r**2 - 5*r + 3. Let j be a(5). Suppose -j*v - 3 - 3 = 0. What is the common denominator of 73/22 and v + (-378)/(-40) + -2?
220
Let q be (-8)/10*(-60)/(-12). Let w(j) = -3*j - 4. Let p be w(3). Calculate the common denominator of 4/q - p/6 and 37/16.
48
Suppose 0 = 4*v - 10 - 38. Suppose -5*z + 10 = 4*j, -3*j + 0*j = -2*z + 27. What is the lowest common multiple of v and (z/(-8) - -1) + 1501/76?
60
Suppose -4*h + 9 = -h, 4*h = -2*c + 42. Suppose 0 = -6*q + c + 15. What is the smallest common multiple of 3 and q?
15
Suppose -3*l - 1395 = -7*l + 5*u, 3*u + 695 = 2*l. Let p = -15 + l. Calculate the common denominator of p/(-8)*1 - 0 and -59/16.
16
Suppose 2*m - 24 = 4*b, 20 = 3*m - 4*b - 12. Let w be (m/12)/2*6. Calculate the common denominator of 103/18 and w/((-28)/104*-8).
126
Let k = -521719385/864 + 603842. Find the common denominator of k and -89/8.
864
What is the common denominator of 55/20*(-32)/10 and ((-21)/(-24) - 2) + 0?
40
Let q be (-4)/14 + 60880/175. Let p = 16012/45 - q. Calculate the common denominator of (-228)/(-16)*-3*(-3)/(-18) and p.
72
Find the common denominator of -2 - (4254/(-1152) - -1) and -21/64.
192
What is the smallest common multiple of (-7 + (-224)/(-36))*-369 and 77?
3157
Suppose 0 = -2*b - 11 + 65. Calculate the common denominator of (-8)/(-36) + 615/b and (-140)/120*(21 - 1).
3
Let v = 20 - 2. Suppose 0 = -3*u + v + 24. Calculate the lowest common multiple of u and 18.
126
Let i be 3999/21 + 12/(-28). Calculate the common denominator of -87/8 and i/209*(-2)/4.
88
What is the least common multiple of -1 - (-4 + 2 - 17) and 57?
342
Let m be 0/3 + (-11626)/(-6160). Let v = m + -24/385. Let o = -1321/120 - v. Find the common denominator of o and 61/10.
30
Let v(p) = -p + 2. Let n be v(7). What is the common denominator of -37/8 and (-522)/(-60)*n/6?
8
Let s be (-3 - -3)/(1 - 0). Let b be -1 + (-2 + s - 2). Let x = b - -8. What is the lowest common multiple of x and 7?
21
Let s(a) = -15*a**2 - 60*a + 5. Calculate the lowest common multiple of 55/3 + 1/(-3) and s(-4).
90
Let y be 3 + 24/(-9) + 385/15. Let p = 42 - y. Calculate the least common multiple of p and 10.
80
Find the common denominator of 53/60 and (5 - (-188)/(-40))*326/(-18).
60
Let n = -3541 - -116828/33. Calculate the common denominator of n and 1/15.
165
Suppose 0 = -o - 6 - 25. Let i = 290 + -237. Let w = i + o. Calculate the lowest common multiple of 10 and w.
110
Suppose 3*a - a = 0. Suppose 5*f - 4*h - 85 + 21 = 0, a = 4*f - 5*h - 53. What is the sm