 Let d be x(-7). Suppose 19*n = d*n + 764. Let k = 15247/20 + n. Calculate the common denominator of 77/38 and k.
380
Let u be (-6)/21 - (1 + 1483/(-21)). Let h = 115/6 - u. Let f = h - -254/3. What is the common denominator of f and -52/93?
186
Calculate the common denominator of 197*(-5)/175 - -4 and -31/70.
70
Let c(k) = k + 16. Suppose -1 = -3*l - w - 2, 2*l - 4*w = 18. Let t(i) = 1. Let b(z) = l*t(z) - c(z). What is the smallest common multiple of 6 and b(-17)?
6
Let p(a) = -a + 2. Let u be p(4). Let j = 2536 + -20187/8. Find the common denominator of j and (-102)/4 + -3 + u.
8
Suppose -9*w + 5 = -4. Let b be ((-1)/30)/(w/((-6018)/24)). Let q = b - 79/10. What is the common denominator of 91/18 and q?
72
Let o = 126 + 57. Suppose 0 = 4*s - 5*s + 6. Calculate the common denominator of s/(-24) + o/(-44) and 101/2.
22
Let z(x) = x**2 + 4*x + 7. Suppose 0 = q + 3, 3*k - 5*q = -2*q - 9. Let o = k - -13. Calculate the least common multiple of z(-4) and o.
7
Suppose w = -3*r + 4*w, -3*r - 5*w + 16 = 0. What is the smallest common multiple of r and 3423?
6846
Suppose -3*c - 354 = -18*c + 276. Calculate the smallest common multiple of c and 29.
1218
Let j = 7142 - 6394. Calculate the smallest common multiple of j and 34.
748
Let l be (-56)/(-7680)*163390/1085. Let h = -2/465 + l. Find the common denominator of 103/88 and h.
352
Let p be (-3)/(5/((-380)/4)). Find the common denominator of (0/2 - p/(-2))/10 and 91/20.
20
Find the common denominator of 77/18 and (3317/(-121644))/(1/3).
3924
Let a be (-197529)/(-40) - (152/20 + -8). Let b = a + -4930. Calculate the common denominator of b and 11/5.
40
Suppose -y + 4508*r - 4512*r = -300, 5*y - r - 1626 = 0. What is the least common multiple of y and 62?
10044
Let y = -942 - -604. Let i = 659/2 + y. Let k = -769/11 + 69. What is the common denominator of k and i?
22
Let g = 35 + -24. Suppose -6*p = 29*p - 4445. Let f = p + -116. What is the smallest common multiple of g and f?
11
Suppose 3*u - 3*k - 570 = 0, -4*u = -3*k + 4*k - 755. Suppose 20*b - 51 - u = 0. Calculate the lowest common multiple of b and 30.
60
Let i = 1634/7 - 234. Let h = i + 13/35. Let s = -177/10 - h. Calculate the common denominator of -145/36 and s.
36
Suppose -819*b + 818*b = -16. What is the lowest common multiple of 136 and b?
272
Let f be (-64)/5*(-8 + (-88)/(-16)). Find the common denominator of ((-4)/(-6))/(4/9) and (-228)/f + (6 - -4).
8
Let u = -28741 + 8191258/285. Calculate the common denominator of u and -74/15.
285
Let f(m) = 3*m**2 - 3. Let h(a) = a**2 - 16*a + 20. Let w be h(8). Let t = 41 + w. What is the least common multiple of 27 and f(t)?
216
Suppose -4*x + a - 96 = 202, -4*a = 2*x + 140. Let l = x - -77. Let g = 0 + 9. Calculate the least common multiple of l and g.
9
Suppose 36 = d - 5*l + 9, -25 = 5*l. Suppose 0 = z + d*s - 150, 4*z + 2*s + 100 = 706. What is the common denominator of 97/6 and 931/z + 0 + -4?
24
Suppose 0 = 114*g + 40*g + 306*g - 23000. What is the lowest common multiple of g and 6 + -2 + -2 - -8?
50
Suppose -4*t = -3*u + 166 - 27, 0 = -u - 5*t + 40. Let y(b) = b**2 - 15*b + 66. What is the smallest common multiple of u and y(9)?
180
Let d(o) = o**2 + 14*o + 40. Let k be d(-3). Suppose u = -2*a - 0*u + k, u = -3. Calculate the smallest common multiple of a and 220.
220
Let h = -13501/2 + 6783. Let s = 43/2 + -21. Let t = s - -23/18. What is the common denominator of t and h?
18
Find the common denominator of -173/2370 and 556/(-2502)*(17/(-79) + 0).
7110
Let r(x) = 3*x**3 + 28*x**2 - 37*x - 2. Let q be r(-16). Calculate the common denominator of -111/80 and ((-2)/10)/((-288)/q - 0).
240
Let b be (36/(-21))/(2/(-7)). Let p be b/((-2)/1 - -4). What is the lowest common multiple of ((-14)/(-6))/(4/p)*8 and 18?
126
Let j(z) = 4*z - 9. Let q be j(3). Suppose 4 = -q*s + 25. Let c(a) = -a + 2. Calculate the smallest common multiple of s and c(0).
14
What is the common denominator of 91/80 and ((-142)/5)/((-6528)/(-102))?
160
Let h(k) = k**2 - 6*k + 5. Suppose 8*z = -8*z + 1696. Let u = -102 + z. What is the smallest common multiple of h(6) and u?
20
Let g(q) = -2*q + 3. Let u(k) = -8*k + 12. Let v(p) = 9*g(p) - 2*u(p). Calculate the smallest common multiple of v(-9) and 60.
420
Let o = 113672/7 - 142089419/8750. Calculate the common denominator of -101/1250 and o.
1250
Suppose -2*p + 7 = -p. Suppose 0 = -z - 7*o + 10*o - 15, -3*o = 2*z - 24. What is the least common multiple of p and z?
21
What is the lowest common multiple of 28 and (60/25)/(((-147)/35)/(-7))?
28
Let g(r) = -2*r + 48. Suppose -6*p - 108 = -12*p. Let s(c) = c**3 - 17*c**2 - 17*c - 2. Let y be s(p). What is the smallest common multiple of g(y) and 14?
112
Let t = -14316 - -515321/36. Let q = 6280 + -125519/20. Calculate the common denominator of t and q.
180
Let y(o) = -619*o**2 - 4*o - 3. Let b be y(-1). Let m be (-4)/34 + b/(-51). What is the least common multiple of 8 and (4/m)/(1/18)?
24
Suppose 29 = -s + 30. Calculate the lowest common multiple of (-7)/s + 7130/31 and 5.
1115
Let p = 28 - 27. Let u be (p/(-3))/((-1 - 3)/(-1308)). Find the common denominator of -26/29 and 2 + (-8)/(-12) + u/33.
319
Suppose -24*n + 7 + 497 = 0. Calculate the least common multiple of 2982 and n.
2982
Let g = 32751/24680 + -5/2468. What is the common denominator of g and ((-1)/(4/3))/((-438)/9782)?
40
Suppose 0 = -0*k - 6*k - 120. Let g be 2/10 + (-36)/k. Suppose -10 = -g*v - 4. What is the least common multiple of 9 and v?
9
Suppose 3*f - 395 = c + 135, -360 = -2*f - c. Suppose 52*s - 54*s = -36, -3*v + 78 = 2*s. Calculate the smallest common multiple of f and v.
1246
Suppose 108 = -40*c + 42*c. Suppose 10*g + c = 504. Calculate the least common multiple of 55 and g.
495
Find the common denominator of (202/(-2376))/(3 - (-3 - (-228)/36)) and -80/99.
396
Let m = -6989/13772 + -19/313. What is the common denominator of m and -97/1308?
14388
Let g = -23151 + 47872. Let n = 444845/18 - g. Calculate the common denominator of n and 51/99 + (-1)/(-3).
198
Suppose -2*j + 9 = -3. Suppose -5*l + 12 = -13, -3*r + 874 = 2*l. Let v = r - 214. What is the lowest common multiple of v and j?
222
Let u(b) = 2*b**2 - 9*b + 72. Let f be u(24). Suppose -85*g + 29*g + f = 0. Calculate the least common multiple of 4 and g.
36
Let p = 745239287/2172 + -343112. Calculate the common denominator of p and -93/4.
2172
Let v = -671 - -695. Calculate the lowest common multiple of v and 168.
168
Suppose 0 = 3*u + 22 - 7. Let y = -6159 + 98577/16. What is the common denominator of ((-2)/u)/((-4)/(-345)) and y?
16
Let b = 20674 - 14482. Calculate the least common multiple of 20 and b.
30960
Let u(p) = 38*p + 1208. What is the lowest common multiple of 64 and u(12)?
1664
Let i = 331563/52 + -6377. Find the common denominator of i and -113/504.
6552
Suppose 5*l - 925 = 3*x, -x - 673 + 122 = -3*l. Let q = 190 - l. What is the lowest common multiple of 12 and q?
24
Let l(x) = 2*x**3 - 22*x**2 + 5*x - 92. Calculate the least common multiple of 16 and l(12).
256
Let o = -23532 - -470523/20. Let v = -1691/3640 + -127/104. What is the common denominator of o and v?
140
Let a = 8697 + -139247/16. Let h be (324/440)/(-1 + 259/305). Let x = h - 15/92. Find the common denominator of x and a.
176
Let r(t) = -t**2 + 15*t - 52. Let m be r(8). Suppose 5*j = d + d + 265, m*j + 4*d - 240 = 0. What is the lowest common multiple of j and 25?
275
Suppose 2267 = 9*d - 8814 + 281. What is the lowest common multiple of 270 and d?
10800
Let n = -39229 - -1726157/44. Calculate the common denominator of n and -47/2566.
56452
Suppose 18*f = 3*f. What is the common denominator of 59/20 and 335/200*(f/1 - -2)?
20
Let h be 6/(-36)*3 - 21722/2607. Let q be 14/(-77)*(-2)/316. Let o = h - q. Calculate the common denominator of o and 43/6.
6
What is the common denominator of ((-2)/98)/((-1)/23) and (-68)/(-72)*3 - 3/2?
147
Let g = -9594 + 19267/2. What is the common denominator of g and 1/3723?
7446
Let u(j) = -j**3 + 5*j**2 + j - 4. Let k be 2/(-18) + (-222)/(-54). What is the least common multiple of u(k) and 288?
288
Let m = 115181 + -44920483/390. Find the common denominator of m and 71/390.
390
Let n = 2015/2922 + 3/3409. What is the common denominator of n and -31/210?
210
Let k be ((-4)/7)/(4/(-28)). L