Suppose 374*h + 4*b = 373*h + 87, 4*b = 3*h - 165. Let u(n) = 6*n**2 - 2*n - 3. Calculate the least common multiple of h and u(3).
315
Let y be (1 + -2)/(2/(-26)). Calculate the common denominator of 5/408 and -13 + y + (-150)/4 - 3.
408
Suppose 5*u = 399 + 71. Let d be (-348)/28 - (-15)/35. What is the common denominator of -71/2 and u/63 - d/54?
14
Let w be 1/(49824/(-27004)) + -2. Let y = w + 1/3114. What is the common denominator of -143/36 and y?
72
Let k = 195 + -195. Suppose 0*v + 5*v + 5*o = 300, v - 2*o - 60 = k. Calculate the lowest common multiple of v and 65.
780
What is the common denominator of -27/1106 and ((-1210)/60 - -4)/((-8)/4)?
6636
Let v = 17/19 - -267/190. Let s = -11/9 + 136/45. Let r = s - v. Calculate the common denominator of -18/5 and r.
10
Let q = 7602 + -83662/11. Find the common denominator of q and -77/6.
66
What is the common denominator of 49/12 and ((-55)/1)/((-462)/(-84) + 36998/(-4))?
27732
Let d = -28963352/833 - -34770. Find the common denominator of d and -22/63.
7497
Suppose -b - 29 = -27, -2*m + 5*b + 810 = 0. Calculate the least common multiple of m and 550.
4400
Suppose 2*z + 4*t = 128, 5*z = 57*t - 60*t + 306. Let p = 93 + -90. What is the smallest common multiple of p and z?
60
Let q = -55563/5 + 32004533/2880. What is the common denominator of -23/1440 and q?
2880
Let o = -891/52 - 3/26. What is the common denominator of o and 10 + 29/28*-9?
28
Let m = 222256 + -568975369/2560. What is the common denominator of 3/640 and m?
2560
Suppose -3*f + 5*q - 758 = -5*f, 3*q + 1464 = 4*f. What is the smallest common multiple of 9 and f?
369
Suppose -19*k - 85*k + 15177 = -21015. What is the least common multiple of k and 145?
1740
Find the common denominator of (1/(-50))/((-702)/(-39663)) and -69/4.
100
Let p = 273/4 + -82. Suppose -84*g + 330 = -426. What is the common denominator of (-12 + -1)/(282/g) and p?
188
Let o(m) = 5*m**2 - 9*m + 6. Let x be o(6). Find the common denominator of 674/x + 3/(-9) and (-3 - 85/(-30))/(16/(-372)).
88
Let g = 78/11 + -673/22. Suppose -4*t + 0*t = 12. What is the common denominator of g and (t - -4) + (-31)/(-4)?
4
Let j be 7 + -8 - 3/(-18791)*6263. Let a = 582551/281865 + j. Calculate the common denominator of -40/63 and a.
315
Suppose 0 = -24*g + 20*g + 172. Suppose 52 = 4*s + 4*x + 4, 5*x = 2*s + 11. Calculate the least common multiple of g and s.
301
What is the common denominator of 61/3708 and 3 + 1 + 67970/(-18540) - (-4)/(-12)?
3708
Let u = -14288781 - -628836869/44. Let z = -609 + -2356. Let m = u + z. Find the common denominator of m and 67/2.
44
Let i = -61397/128700 + 3/1300. Calculate the common denominator of -37/550 and i.
4950
Let y be 0 + 0 + 24*(-32)/(-12). Let o = -46 + y. Suppose -19*f = -o*f - 20. Calculate the lowest common multiple of 26 and f.
260
Let k = -4127/2360 - 9/118. Let i be (7 + (-44874)/6410)/((-3)/(-45)). Let m = i - -31721/33332. Calculate the common denominator of m and k.
520
Find the common denominator of (-11)/22*(-880)/462 and -4/2139.
14973
Let n = -379/44442 + 5878956502/244431. Let u(i) = 141*i**2 + 5*i + 153. Let a be u(13). Let q = n - a. Calculate the common denominator of q and 81/2.
22
Let x be (0 - 676/30)*12. Let a be ((-58978)/(-330))/((-2)/(-3)). Let m = a + x. Find the common denominator of m and 89/20.
220
Let m = -32735854902/55 - -595233685. Let f = m - 36322. What is the common denominator of f and -13/20?
220
Let q(k) = 5*k - 4. Suppose 18 = 8*r + 2. Suppose v - 2 = 9. What is the lowest common multiple of q(r) and v?
66
Let m be 1/((-1)/(-3))*-131. What is the common denominator of (-2)/8*m/(-18) and (59/((-45430)/546))/((-2)/5)?
264
Let i = 1237116 - 2549707463/2061. Let m = -124/21 + 28249/4809. Let s = m + i. What is the common denominator of 35/27 and s?
27
Let v = -503 - -5049/10. Let j be (-20277)/4 + 0 + 3/12. Let m = j - -30485/6. Find the common denominator of v and m.
30
Let l(c) = 2*c**3 + 6*c**2 - 2*c - 2. Let z = 12 + -17. Let t be l(z). Find the common denominator of (3/(-2))/((-63)/t) and 29/3.
21
Let x be 4 - (3 + -1) - -1. Find the common denominator of x*((-50)/16 + 16/32) and 34/133.
1064
Let r = -1698343/197 + 8621. Let h = 2430/2167 + r. What is the common denominator of ((-13)/117)/((-2)/106) and h?
99
Let a be (-2)/(2*3/(-6)). Suppose a*g = 3*t + 14, -2 - 8 = -5*g - 5*t. Calculate the lowest common multiple of g and 2.
4
Let a = -49 - -29. Suppose 0 = -4*m + 41 - 5. What is the least common multiple of 6 and (-492)/a - m/15?
24
Suppose 451 - 443 = -8*j. Let o(z) = -12*z**3 + 5*z**2 - z - 1. What is the lowest common multiple of o(j) and 51?
51
Let g(y) = y**3 - 12*y**2 - 29*y + 20. Let z be g(14). Let s = -14 - -21. Suppose z - 62 = -s*v. What is the least common multiple of v and 7?
56
Suppose -21951 = -3*g - 3*b, 0 = -3*g + 2*b + 6152 + 15794. Let k = g - 270714/37. What is the common denominator of k and -13/10?
370
Suppose 149 = 16*q - 43. Suppose 4*p = 109 - 13. What is the lowest common multiple of p and q?
24
Let v = -15163/18 - -2525/3. Let k be (17259/22)/(1812/(-26)). Let t = -1/151 - k. Find the common denominator of t and v.
36
Let f = 6028/185 + -3297917/100640. Find the common denominator of -13/374 and f.
5984
Let a be ((-3)/1 + 7 + 2)*3. Suppose 2*d + a = 5*d + 3*b, 2*d + 4*b = 8. Calculate the common denominator of (-15)/d + -2 - 3/(-6) and -83/14.
56
Suppose -494 = -w - i + 345, 2*w - 4*i = 1720. Calculate the lowest common multiple of w and 1974.
5922
Find the common denominator of (166/(-3))/(121832/291) and -97/6.
1884
Let w(h) = h**2 - 17*h + 73. Let q be w(10). Let i(b) = b + 7. Let y be i(-4). Find the common denominator of (y/(-16))/(q/86) and -101/36.
72
Let i(o) = o**2 - 33*o + 746. What is the smallest common multiple of i(20) and 432?
3888
Let y = 3858 + -3856. Let l(f) be the first derivative of -f**4/4 - 2*f**3/3 + 3*f**2/2 + 6*f - 2. What is the lowest common multiple of y and l(-4)?
26
Let b = -2165 + 43371/20. Find the common denominator of b and -9/760.
760
Suppose -176 = -11*x + 9*x. What is the lowest common multiple of 33 and 10640/x + (-7)/(-77)?
363
Suppose 8 = 5*m - 9*m + 4*u, 2*u - 1 = 3*m. Suppose -m*a - 56 = -50. What is the common denominator of ((-1220)/128)/(-5) + a and -13/28?
224
Let l(s) = -472*s - 3206. What is the lowest common multiple of l(-7) and 294?
294
Calculate the common denominator of (-65)/15 + 5 + 316/(-42) and 3/(-7) + (-534)/(-70).
35
Calculate the smallest common multiple of (-2 + 87/(-9))*-3 and (-288)/3312 + (-1152)/(-23).
350
Let n(i) = -i**3 + 26*i**2 - 66*i - 1. What is the smallest common multiple of n(3) and 1944?
1944
Suppose 0 = -3*a + 3*s - 5 - 16, 4*s = 5*a + 36. Let r = 0 - a. Suppose 585 - 85 = 50*w. Calculate the smallest common multiple of r and w.
40
Let t(n) = 7*n**2 - 1. Let p be t(-3). Let g = -94 + p. Calculate the common denominator of 44 and (2/(g/(-124)))/((-5)/(-4)).
5
Suppose -7*v - 2*y = -2*v + 108, 4*v = -3*y - 85. Let j = 284 - 240. Let a = j + v. Calculate the least common multiple of a and 10.
110
Let y = -12325 - -12327. What is the least common multiple of 122 and y?
122
Suppose -2*a - 5*n = -59, -3*n - 67 = -5*a + 3*a. Suppose 6*t = 10*t - a. Let m = -82 - -94. Calculate the smallest common multiple of t and m.
24
What is the common denominator of 5 + (-4)/(792/1573) and 6/(-21) - 377/(-168)?
72
Suppose 17*g - 75 = -5*z + 13*g, -4*z + 24 = -4*g. Suppose -2*a = -v - z, 2*v = -v + 9. What is the lowest common multiple of 5 and a?
35
Let c = 898031/1024590 + -600/697. Find the common denominator of c and 111/70.
1470
Calculate the least common multiple of 2100 and (0*1/5 - -4) + 1 + 121.
6300
Suppose 1301009 = 26*w + 33*w. Calculate the lowest common multiple of 9 and w.
198459
Calculate the common denominator of 76/189 and -7*32/1904 + -829*2/1224.
756
Let k be (-8734)/453*((-188)/40 - -5). Let a = -23/453 - k. What is the common denominator of 11/10 and a?
30
Let v = 6965 + -334169/48. Let z be (-24)/9*3/2. Calculate the common denominator of v and 2/z*(-29 - 0).
48
Suppose 22*v - 180 = 27*v. Calculate the common denominator of -2*(-906)/(-144) - 0 and 109/v + (-20)/(-80).
36
Suppose -2*m - 58 = -w, -9*m + 238 = 4*w - 11*m. What is the least common multiple of 4 and w?
60
Suppose 2*l + 16