57
Let v(u) = u**3 - 16*u**2 - u + 19. Let z be v(16). Find the common denominator of 178/12 - (-3 - 1) and 9/((-56)/(-12)*z).
42
Let g be -18*((-2)/(-7) + 96/(-42)). Calculate the common denominator of -93/34 and 5 + -8 + 146/g.
306
Suppose -9*w + 1 = -11*w - l, 0 = -w + 4*l - 23. Suppose -4*k = -16, 0*k + 2216 = -4*f + 2*k. What is the common denominator of -3*((-1900)/f + w) and 9/8?
184
Let r(t) = 26*t + 3. What is the smallest common multiple of 30 and r(2)?
330
What is the common denominator of 1/2 - 63/5 and (22/110 + (-23)/(-10))*79/(-30)?
60
Let n(r) = r**2 - 5*r + 2. Let a be n(5). Let h be (a/(-24))/((-5)/473930). Let b = 7921 - h. What is the common denominator of 107/6 and b?
6
Let n = 922622/855 - -17577/95. Let a = -1262 + n. Find the common denominator of (-5)/(60/(-14))*1*16 and a.
9
Suppose 6*t = -22 + 142. Suppose -z + 2 = -2*w + 27, -4*z = -t. What is the lowest common multiple of w and 15?
15
What is the common denominator of (413/(-49))/(792/21) and -127/264?
264
Let z(h) = -1484*h - 9. Let b be z(2). What is the common denominator of 2/9 - b/(-936) and -53/30?
120
Let d = 25 - 20. Suppose 21 = 3*s + m + d, -4*s + 3*m + 30 = 0. Calculate the least common multiple of 4 and s.
12
Let v(w) = w**2 + 7*w - 76. Calculate the least common multiple of 20 and v(6).
20
What is the lowest common multiple of 6*((-20)/(-12) - 1) and 5?
20
Suppose -15 = 5*x, 4*q + 7*x - 82 = 5*x. Suppose -3*u = -8*u + 140. Suppose 0 = 2*h + i + 1 - u, h - 10 = -4*i. What is the lowest common multiple of q and h?
154
Let m = -5623/4537 - -3/349. Let r(s) = -38*s**2. Let c be ((-3)/(-2))/(12/8). Find the common denominator of r(c) and m.
13
Suppose -k - 914 = 1944. Let j = k - -45641/16. What is the common denominator of 45/4 and j?
16
Let m = -8938913/108 - -82769. What is the common denominator of m and 9/15*95/8?
216
Suppose 20*s - 15*s - 745 = -x, 0 = -5*x - 5*s + 3665. What is the least common multiple of x and 10?
730
Suppose 57 = 2*y + 21. Let c be 1 - ((-50)/2 + 1). Let d = c - y. What is the smallest common multiple of 8 and d?
56
Let c = -29/30 - 74/45. Find the common denominator of c and 25/22.
198
Let i = 88 + -53. What is the common denominator of 785/i - (-2)/(-21) and 23/3?
3
Let n = 141266/5 + -28440. Let y = 16907/90 + n. What is the common denominator of -33/14 and y?
126
Let w(x) = -12*x + 332. What is the lowest common multiple of 22 and w(-22)?
6556
Let b(o) = -7*o**2 + 0*o**2 - 18*o + 6*o**2. Let l be b(-18). Suppose l = k + 4*s - 20 - 10, -5*s = 2*k - 45. What is the least common multiple of 2 and k?
10
Let a = -187/12 + 277/20. Let o = -3/94 - 349/846. Find the common denominator of a and o.
45
Let m = 3/11449 - 1133679/870124. What is the common denominator of -21/8 and m?
152
Let l be 0/(-2) + 20/4. Suppose t - l*y + 23 = 2*t, -31 = -5*t + 3*y. What is the lowest common multiple of t and 18?
72
Let f be 1737/12 - 3/(-12). Let x = -78 + f. What is the common denominator of x/(-22) + (4 - 6) and 29/8?
88
Let s = -16 - -25. Suppose -5*k + 14 = p, -4*p - 13 = -3*k - 0*p. Let x = k - -1. Calculate the lowest common multiple of x and s.
36
Suppose v + 2*l = 3*l + 116, 3*l = -2*v + 257. Find the common denominator of v/(-5)*(-5)/(-18) and 2 - 4 - 2*(-41)/32.
144
Let s be ((-48)/6)/(1 - (-3 + 2)). Calculate the lowest common multiple of 3 + (s - 65/(-5)) and 64.
192
Let f be (-39)/(-12) + 1/(-4). Suppose 0 = -3*o + f - 15, 4*o = 2*m - 30. Suppose 0 = -m*t + 2*t + 10. Calculate the lowest common multiple of 10 and t.
10
Suppose 0 = 5*t + n + 229, -n - 2*n = -2*t - 78. Calculate the lowest common multiple of 30 and ((t/(-6))/(-5))/((-6)/16).
60
Let c(g) = g**3 - 12*g**2 + 10. Suppose 0 = -7*j + 2*j + 60. Let a = 0 + j. What is the lowest common multiple of 5 and c(a)?
10
Let l be (-1584)/(-56) - (-2)/(-7). Calculate the common denominator of (33/(-88))/((-1)/l) and -53/20.
20
Calculate the lowest common multiple of 161 and -3 - 25/(-9) - (-760)/18.
966
Suppose 16*b + 1056 = 60*b. What is the least common multiple of b and 114?
456
Let n(f) = -f**2 + 18*f - 6. Let u be n(14). Suppose 2*p - p = u. Calculate the common denominator of -11/6 and p.
6
Let v(r) = 1135*r**2 - 23*r + 24. Calculate the smallest common multiple of v(1) and 6.
3408
Let k(t) = -2*t**3. Let y be k(-1). Suppose -5*p = -p + g - 32, -y*p = 5*g + 2. Suppose -p = -4*d + 7. Calculate the least common multiple of 2 and d.
4
Let c(s) = s**2 - 9*s - 1. Let y be c(11). Suppose 5*r = d - 35 + 137, 3*d - 74 = -4*r. Calculate the smallest common multiple of r and (-12)/y*(-2 - 5).
20
Suppose 2 = -c + 5*g - 1, 2*g = c - 6. Suppose -4*x + 4*o = -28, 0 = -4*x + 3*x - 5*o - 23. Calculate the least common multiple of c and x.
12
Let z be 341/(-22) + (-2)/4. Let l = -6681 + 33539/5. Let o = z + l. Find the common denominator of o and -2/3.
15
Let o = 6 + -4. Suppose 0 = 14*k - 15*k + 4. Calculate the lowest common multiple of o and k.
4
Suppose 4*u = 3*g + u + 207, -3*g + u = 201. Let c be (-7419)/g*18 - -4. Let s = c - 2023. What is the common denominator of 73/3 and s?
33
Let i = -16085 - -321527/20. Let n = i + 621/140. Find the common denominator of n and -89/14.
14
Let s(h) = 2*h**2 - 9*h + 26. Suppose -4*d = 7 + 1. Calculate the least common multiple of (3 - d)*18/15 and s(4).
66
Calculate the lowest common multiple of (-400)/(-32) - 14 - 15/(-2) and 15.
30
Let o = 386506/27 + -14313. What is the common denominator of -46/33 and o?
297
Let p be 50/(-12)*(-9)/4770. Let s = 6253/3498 + p. What is the common denominator of s and 115/18?
396
Suppose -47 = -4*o - 11. Calculate the common denominator of (o + 7)/((-9)/(-2)) and 3 + -6 + (-19)/4.
36
Let t(c) = -9*c - 1. Let k be t(-9). Suppose -208 = -3*w + k. What is the least common multiple of (-6)/(-14) - w/(-21) and 6?
30
Let h be -67 + (-1 - -2) + 2. Let f = h - -91. What is the least common multiple of 21 and f?
189
Let d = -24617/30177 + 41/479. Find the common denominator of -82/45 and d.
315
Let g(u) = 3*u**2 + 4*u - 6*u - u + 2 + 0*u + u**3. Let v be g(-4). Calculate the common denominator of -79/12 and v/7 - 6970/1820.
156
Let f = 3/1429 + 84257/25722. Calculate the common denominator of f and -125/306.
306
Suppose -5*p - 240 = -5*q + 170, 4*p - 260 = -3*q. What is the smallest common multiple of q and 77?
924
Let i(x) = 45*x - 252. Calculate the least common multiple of i(7) and 45.
315
Let m = -1999/2 - -889. Suppose -2*r = r - 396. Let f = r + m. What is the common denominator of f and -61/2?
2
Let m(k) = -k**3 + 6*k**2 + 7*k - 7. Let s be m(7). Let v(a) = -a**2 - 5*a - 4. Let b be v(s). Find the common denominator of -8/9 and (-2 - 1) + (-146)/b.
9
Let h = 44 + 2. Let z(c) = 390*c + 5482. What is the smallest common multiple of z(-14) and h?
506
Let u(f) = f**2 + 6*f + 2. What is the common denominator of u(-9) and ((-413)/3)/7 - 0/14?
3
Suppose 60 = 3*b + 2*b. Suppose m + 33 = -2*s + 98, 4*m = -4*s + 140. Calculate the lowest common multiple of b and s.
60
Suppose -28 = 8*h + 4. Let i(n) = n - 12. Let f be i(10). What is the common denominator of h and f/(-1) + 16/7?
7
Suppose 35*u - 599 + 109 = 0. Calculate the lowest common multiple of 1736 and u.
1736
Suppose -14 = 6*z - 38. What is the least common multiple of z and 4?
4
Suppose 0 = -4*x + 3*r + 249, 2*x - 117 = -0*x - r. What is the least common multiple of x/(-48) + 1/4 - -13 and 24?
24
Let f = 83947/6756 - 5/563. Calculate the common denominator of f and -97/42.
84
Let h be (4 - 1)/((-6)/4). Find the common denominator of h/(-13) + 1956/(-39) and -63/8.
8
Let l(z) = z**2 - 9*z + 12. Let a be l(8). Let d(v) = v**3 - v + 22. Let u be d(0). Suppose a*o = 2*o + u. Calculate the smallest common multiple of o and 6.
66
What is the common denominator of -7/10 and (-8)/(-12) + (-143)/(-825)?
50
Let f be ((-219)/(-4))/(81/18174). Let i = -12279 + f. Find the common denominator of i and (-1)/(-3) + (-215)/(-75).
90
Suppose 6*p - 3*p + 5*o = 14, 0 = -5*p + 5*o + 10. Suppose 0 = -2*q + 5*b - p - 4, -4*q + 4*b + 4 = 0. Calculate the least common multiple of q and 26.
52
Suppose -f = -y + 7, -15 = 4*f - 5*y + 15. Let u = 12153/8 - 1521. Calculate the common denominator of u and f/(-60)*316/(-6).
72
Let i = -50429/22 - -2290. What is the common denominator of i and -9/88?
88