v = y + 1399/249. Let q = 99/16 + 209/16. What is the common denominator of q and v?
12
Let h be ((-2)/44)/(36/1608). Let p = h + -2267/330. What is the common denominator of p and -81/4?
20
Let k = -2221 + 13403/6. What is the common denominator of k and -125/204?
204
Let t(y) = -12*y + 3. Let m be t(-8). Suppose 0 = 2*z + z - m. Let w = z - 23. Calculate the smallest common multiple of w and 1.
10
Let t(q) = 10*q - 3. Let y be t(4). Let s be 530/((-86)/y + 2). Let h = 1619 + s. Calculate the common denominator of -13/11 and h.
66
Let c = -11505260207/382122 + 3523342/117. Let q = -2/1633 + c. Calculate the common denominator of -38/9 and q.
18
Let w(n) = n**3 + 5*n**2 + 2*n - 3. Let h be w(-4). Suppose 0 = 4*m - 4, v + m = -0*m + h. Calculate the lowest common multiple of v and 34.
68
Let a = 53 - -137. Suppose 5*o - a - 140 = 0. Find the common denominator of ((-15)/o)/(2/(-16)) and -13/3.
33
Let z(n) = n - 1. Let w be z(3). Let j be w/4 - (-6825)/(-14). What is the common denominator of j/130 - 8/52 and 1/5?
10
Let b = -423/20 + 10119/460. Calculate the common denominator of b and 101/54.
1242
Suppose -4*q - 4*l + 22 = -2*q, -5*q - 3*l = -90. Calculate the least common multiple of q*(-4 + (-68)/(-14)) and 6.
18
Calculate the common denominator of 37/27 and 68/510 - 2/3.
135
Suppose 15*v = 27*v - 252. Suppose y = -3, y - v = -0*p - 3*p. Suppose 2*w = -h + 2*h + 8, 8 = 2*w + 5*h. What is the least common multiple of p and w?
8
Let w be 2787/(-36491)*954/12. Let k = w - -2/5213. What is the common denominator of k and 5/12?
84
Let d = 4 - 6. Find the common denominator of 498/(-50) - (5 - 15) and -2*(-27)/16 - d.
200
Let q be -4 + 991155/70 + -1. Let b = 14148 - q. Find the common denominator of b and -3/14.
14
Suppose 3*i = 4*u + 3222, -i + u = 3*i - 4309. Calculate the least common multiple of i and 14.
1078
Let s = -155/6 + 28. Let x = 30139/33198 + -7/503. Let h = x - s. Find the common denominator of -53/9 and h.
99
Let v(l) = -5*l + 1. Let u = 0 - -2. Suppose -4*n = -3*s - 52, u*n - 44 = -4*s + s. Calculate the lowest common multiple of n and v(-1).
48
Let o = 2/115643 + -6129205/7285509. What is the common denominator of 7/8 and o?
504
Let i(t) = -t**2 - 7*t + 4. Let j be i(-7). What is the common denominator of (-838)/220 + j/10 and (-2)/(4/(-107)) - (-6)/(-2)?
22
Let k(f) = 10*f**2 - 19*f. Calculate the smallest common multiple of 7 and k(2).
14
Calculate the common denominator of 11/((-1815)/(-1450)) - 7 and 59/42.
462
Let x be 20/15*(-6)/(-4). Suppose q + 15 = 5*f - x*f, 0 = 4*q + 12. What is the common denominator of -36/7 and (f/88)/((-3)/336)?
77
Suppose -2*k = 2*k. Let h = 18 + -16. Suppose 3*s - 14 + h = k. What is the lowest common multiple of s and 10?
20
Suppose -2*o - 212 = -70. Find the common denominator of (-43)/18 + 6/(-18) and (3 + 75/(-24))*o.
72
Let b be 1098/162 + 4/18. Let d = 12 - b. Suppose d*g = -g + 36. Calculate the smallest common multiple of g and 8.
24
Let h(d) = -d**3 - 2*d**2 + 2*d + 48. Let z be h(0). Let w = -45 + z. What is the smallest common multiple of w and 9?
9
Let z(n) = -4446*n + 22. Let o be z(6). Let j = o - -586493/22. Calculate the common denominator of 41/4 and j.
44
Let q(p) = p**2 - 7*p + 31. Let n(l) = l**2 - l + 4. What is the least common multiple of n(0) and q(8)?
156
Suppose -r = 3*g - 183, -5*g + 169 + 376 = 3*r. Calculate the lowest common multiple of r and 16.
720
Let o be ((-9)/(-12))/((-3)/(-24)). Suppose 44 = -o*s + 242. Let m = s + -23. What is the lowest common multiple of 34 and m?
170
Find the common denominator of -3/10 and 3031/(-10010) + (-2)/11.
130
Let p(t) = 79*t**2 - 3*t - 11. Let l be p(4). Find the common denominator of 52/3 and l/102*(-2)/3.
9
Calculate the common denominator of 6/(-36) + -7 + -1 and -2 - (-5)/2 - 663/(-65).
30
Let r = -67376707/3570 - -132112/7. What is the common denominator of r and -99/8?
2040
Let d = -475/688 + -21/172. What is the common denominator of 91/4 and d?
16
Suppose -5 - 10 = -3*z, 2*j - 371 = z. What is the least common multiple of 2 and j?
188
Suppose 33 = t - 16. What is the smallest common multiple of 63 and t?
441
Let d be 1/(-2) - (-44)/8. Suppose 53 + 52 = 5*r - d*h, 2*r = -5*h + 49. Let q = 161 + -151. What is the smallest common multiple of q and r?
110
Let u = 131697 - 28973283/220. Calculate the common denominator of -123/20 and u.
220
Let a = -57179/27357 + -2/2487. Find the common denominator of 36/133 and a.
1463
Let w = 5632/3 + -24471037/13035. Let r = w - -447523/52140. What is the common denominator of 1442/(-24)*(-2)/(-14) and r?
12
Let o be (-6593500)/120*(-2)/20. Let t = -5490 + o. Find the common denominator of t and 31/18.
36
Let j = -3017627/3 + 66851231/66. Let r = 7025 - j. What is the common denominator of (-226)/32 + 1 + 1 and r?
176
Suppose -4*v = -9 - 19. Let z(a) = a**3 - 8*a**2 + 9*a + 16. What is the smallest common multiple of 3 and z(v)?
30
Suppose 10 = -2*t + 4*t. Let y be 39/(-26)*-6*1. Suppose -y*c + 16 = -11. Calculate the smallest common multiple of t and c.
15
Suppose 9*r + 2751 = 753. Let c = 604/3 + r. Find the common denominator of c and -55/9.
9
Suppose 44*q = -35*q + 9085. Calculate the least common multiple of 3 and q.
345
Suppose -15 = -4*f - 3*p, -2*f - 2*p + 2 = -6. Calculate the common denominator of ((-202)/(-2727))/(4/150) and 73/9 + (f - 5).
9
Suppose 0 = -13*m - 26*m + 234. What is the lowest common multiple of 330 and m?
330
Let j(t) = 14*t**2 - t - 2. Calculate the least common multiple of j(-2) and 112.
112
Let n = -67 + 70. Calculate the lowest common multiple of n and 18.
18
Let q(c) = -4*c - 23. Let i be q(-8). What is the common denominator of (i/135)/(9/435) and 34/33?
99
Let f = -24 - -30. Let o be 578295/f*9/(-277620). Let k = o - 2/4627. What is the common denominator of k and -33/20?
40
Let d = 1547 - 12451/8. What is the common denominator of 6/6*-1 - (-89)/(-18) and d?
72
Let v = -1586 - -1595. Suppose 3*t + 60 = 2*k - 2*t, 2*t = -5*k + 92. What is the lowest common multiple of v and k?
180
Suppose -4 = -2*i - 2*j, -2*i + 3 = -2*j - 5. Suppose i*b + 3*m = 7*b + 151, -92 = 3*b + 2*m. Let n = -24 - b. What is the lowest common multiple of 9 and n?
90
Suppose -c + 4*v + 112 + 204 = 0, -1278 = -4*c + 2*v. What is the least common multiple of c and 22?
3520
Let b = 11/7 - -100/21. Calculate the common denominator of ((-2)/(-44))/(6/(-372)) and b.
33
Suppose 5*f = 4*v + 3, 3*v + 6 = 5*v. Suppose 0*x - 3*x - 5*p = -39, -15 = -3*x + f*p. Calculate the smallest common multiple of 23 and x.
184
Let t(w) = w**3 - 12*w**2 - 13*w - 4. Let y be t(13). What is the least common multiple of (-6)/y*((-15)/9 + 3) and 14?
14
Let u = -21 - -33. Calculate the lowest common multiple of (-4)/4*-6*2 and u.
12
Let h(o) = -o**3 + 12*o**2 - 9*o - 12. Let u = 598 - 552. Calculate the least common multiple of h(11) and u.
230
Calculate the common denominator of (44 + -46)/((-68)/(-70)) and 4/27.
459
Let f(a) = a - 1. Let d be f(3). What is the common denominator of (3 - (-17)/(-5) - -1)*35 and (-20)/66 + d/(-6)?
11
Suppose -6*m = -149 + 125. Calculate the lowest common multiple of 50 and m.
100
Let s(i) = -i**2 - 3*i + 2. Let a be s(-3). Suppose a*q - 30 = r - 0*q, -r = 4*q. Calculate the common denominator of ((-30)/56)/(6/r) and 5/12.
84
Let i = -141735/14 + 10129. Let u be (-159)/(-20) - 33/(-11). Let y = 117/20 - u. What is the common denominator of y and i?
70
Suppose 0*x + 2*x = -m + 28, 3*m + 5*x - 80 = 0. Let t = 23 + -13. What is the lowest common multiple of t and m?
20
Calculate the common denominator of 154/(-144) - 40/180 and 145/444.
888
Let l = -3002 + 1533. Calculate the common denominator of 8/9 and (-4)/(-10) - l/(-4485).
207
Suppose y = 2*n - 26, -4*n - 3*y = 2*y - 38. Let l(v) = v**2 - v - 2. Calculate the least common multiple of n/2*(-44)/(-33) and l(-3).
40
Let c = -206364 - -2058929/10. Let d = c + 476. Calculate the common denominator of 18/13 and d.
130
Suppose -3*n + 5*m + 277 = 0, -3*m = 5*n - 0*m - 439. What is the common denominator of 1437/(-36)*(-15)/(-140) - (-224)/(-784) and n/(-110) + (-4)/(-10)?
176
Let a = -22 + 10. Let s be 4/a + 26/6. Let b = 9 - s. What is the lowest common multiple of 8 and b?
40
Let k be (-1)/((-16)/(-12) - 1) - -1. Find the commo