5). What is the smallest common multiple of ((-27)/(-18))/(6*(-2)/c) and 61?
244
Suppose q + 8 = 3*z + 2*q, 0 = 3*z - 3*q - 24. Suppose -5*g - z*s = -13, g = -g + 3*s - 4. Find the common denominator of 249/(-9)*(g - 3/12) and -9/14.
28
Find the common denominator of (-1)/3 - 253/60 and 116/(-3)*(162/252)/(32/14).
40
Let z = 5087 - 50921/10. What is the common denominator of z and (-13521)/2724 + -2 + 7?
4540
Suppose 4*r + 17 = 1. Let i(z) = 10*z - 59. Calculate the lowest common multiple of i(9) and r/26 - 2/(-13) - -5.
155
Let u(f) = 2*f**2 + 23*f + 39. Let o be u(-9). What is the common denominator of (o/(-9) + -1)/(70/18) and 3/25?
175
Let j = -8831/25532793 + 4/6613. Let q = 266/351 - j. What is the common denominator of q and (((-59)/9)/(-1))/4?
396
Let w be 24/(2/(-779) - 0). Let p be (-14 - -10) + 322*1162/(-40). Let b = w - p. Calculate the common denominator of b and 27.
10
Suppose 0 = -28*b + 21*b - 7. Suppose -k + 0*k = -14. Calculate the smallest common multiple of (b*(-8 - 6))/1 and k.
14
Let a(r) = 2*r - 14. Let t be a(8). What is the common denominator of 121/12 and t/(-10) + (-1111)/(-330)?
12
Let m(g) = g**3 - 4*g**2 + 2*g + 3. Let q be m(3). Suppose 3*s - 37 = o, q = -s + 2*o + 3*o + 17. What is the lowest common multiple of s and 7?
84
Let n be -4 + 0 + 53 + 3. Find the common denominator of (-2)/(-1*(-88)/(-146)) and ((-11)/12)/(2/n).
66
Suppose -5*z - 5*f + 290 = 0, -3*z + 171 = -2*f + 27. Let l(c) = c**3 - 7*c + 1. What is the smallest common multiple of z and l(5)?
364
What is the common denominator of 67/81108*26 + (-76)/1026 and 47/16?
12016
Let v be (2 - (-168)/(-16))*4. Let m(n) = n**3 + 33*n**2 - 30*n + 158. What is the lowest common multiple of m(v) and 710?
7810
Suppose -12*w + 11820 = -20*w + 28*w. What is the lowest common multiple of 9 and w?
1773
What is the common denominator of (-435)/624 - (-2 - 12/(-8)) and 58/65?
1040
Let r be (-7)/(105/(-1026))*5. Suppose 14 = 23*l - 170. What is the smallest common multiple of ((-8)/(-6))/(3/r) and l?
152
Let z = -929/7 - -248428/1869. What is the common denominator of z and -58/15?
1335
Suppose -2*w = -6*w + 12. Suppose 2*c - 6 = 0, -w*c + 231 = 32*b - 29*b. What is the lowest common multiple of b and 10?
370
Suppose l = -2*l - 4*x + 52, 4*x + 8 = 0. Suppose 5*u + l = 0, -3*z + 11 + 18 = -2*u. What is the least common multiple of (-2028)/(-39) - 3/9*33 and z?
287
Let y = -804833/33 + 24387. Find the common denominator of 173/660 and y.
660
Suppose 14 - 4 = 2*d. Suppose z + 4 = -3*i + 14, -5 = -d*i. Suppose -23 - z = -3*u. Find the common denominator of -7/3 and u.
3
Suppose 31*z = 28*z + 12. Suppose z = -x + 10. Let o(v) = -v**3 + 7*v**2 + 9*v + 14. What is the lowest common multiple of o(8) and x?
66
Let z(h) = 2*h**2 + 74*h - 832. What is the smallest common multiple of z(11) and 320?
2240
Let c be 2 + 724/(10 - 6). Suppose c*p - 187*p = -48. Suppose 0 = 3*r - 6 - 3. What is the smallest common multiple of p and r?
12
Let w(d) = d**3 - 54*d**2 + 244*d + 63. Calculate the lowest common multiple of w(49) and 3046.
21322
Let v = -1417/4 - -359. Let t be 10/(-15)*406206/120. Let y = 2259 + t. What is the common denominator of y and v?
20
Let c = 144/13 - 2477/260. Find the common denominator of 6/(-4) - (6 - 8/(-5)) and c.
20
Suppose -11072 = -a + 8839. Let i = -478013/24 + a. Calculate the common denominator of i and -3*((-249)/162 + 0).
72
Suppose -67 = -q + 5*p, -118*q - 5*p - 151 = -121*q. Calculate the least common multiple of q and 186.
1302
Suppose -5*w + 96 = -2*p + p, 4*w = -2*p + 88. Suppose -w*z = -21*z + 102. Calculate the smallest common multiple of z and 8.
408
Let n = -164651 - -59274443/360. Find the common denominator of n and 97/1800.
1800
Let k = 299413/38 + -7880. Find the common denominator of k and 19/48.
912
Let a = -14/905 + 15637/16290. What is the common denominator of a and -56/57?
342
Suppose -2*o = 10*b - 374, -3*b - 21*o = -22*o - 101. What is the smallest common multiple of b and 348?
1044
Let r(x) = 25*x**2 - x - 15. Let p be r(4). Calculate the common denominator of 69/4 and p/(-2)*11/792.
48
What is the smallest common multiple of 1408/4*(-50)/(-100) and 88?
176
Let j(c) = 12*c**3 - 145*c**2 + 12*c + 26. Calculate the lowest common multiple of 2868 and j(12).
37284
Let w be (-18)/(-8) + -2 + (-897)/4. Let q = -179/4 + 873/20. What is the common denominator of q and (-2)/(w/2625)*(-4)/10?
40
Let t(h) = 7*h**2 - 31*h - 48. What is the lowest common multiple of t(-11) and 22?
12540
What is the least common multiple of ((-396)/(-462))/((-2)/(-5054)) and 3249?
6498
Let o(k) = 5*k**2 - 12*k + 27. Suppose -4*n + 24 = 2*z, -z = 5*n - 7*n + 12. Calculate the least common multiple of 5 and o(n).
135
Suppose -10*q = 23 - 63. Suppose 235 = q*t + x, -x = 2*t + 4 - 119. Calculate the smallest common multiple of t and 54.
540
Suppose 250 = 3*c - 146. What is the least common multiple of c and 396?
396
Let g(o) = -2*o**2 - 85*o - 10. What is the lowest common multiple of g(-10) and 1120?
4480
Let b be 2/5 - 394/10. Let k be b/26 + (-34)/(-4). Suppose 4*d + 16 = 0, -18 = t - 2*d + k*d. Calculate the least common multiple of 4 and t.
4
Let i(o) = -20*o**2 - 30*o. Let k be i(-4). Calculate the common denominator of 13/160 and (-655)/k - (-9)/(-24).
160
Let f(j) = 11*j + 33. Let q be f(-2). Let m = -9 + q. Calculate the lowest common multiple of m and 60.
60
Let c = 48 + 13. Suppose -135 = -4*h - 3*q, -h + c = -5*q + 10. Calculate the least common multiple of h and 3.
36
Calculate the least common multiple of (11 - 9)*(-3)/36 - 6511/(-6) and 1550.
10850
What is the smallest common multiple of 869 and ((334170/(-36))/(-47))/((-1)/(-6))?
13035
What is the common denominator of ((-249855)/(-22680) - (20 - 8)) + 1 and 149/672?
6048
Suppose 4*u + u - 2*o + 10 = 0, -5*u - 3*o - 10 = 0. Let x be (5 - u) + 7/7. Let n = x - 38. Calculate the common denominator of -63/4 and n.
4
Let z = 7 - -94. Calculate the lowest common multiple of z and 13/10 - 42/140.
101
Let c = -2354 + 2382. Calculate the least common multiple of c and (-2)/(-8) + (-21)/(-12).
28
Let m = -9/787 - 65231/7870. Let g be (-6)/(-4)*-2*(-12)/18. Find the common denominator of m and 108/(-40) + g - 4.
10
Let i = 4177843/171 - 24432. Calculate the common denominator of i and -17/931.
8379
Let z(b) = -1082*b**2 - 17*b + 9. Let x be z(-12). Let u be 1/(x/466775) + 3. Let l = u + -1773847/995808. What is the common denominator of l and -53/12?
96
Calculate the least common multiple of 76 and (-205920)/(-351)*(-3)/(-2).
16720
Suppose -3*k - 2*x = -1325, k - 239 = 2*x + 200. What is the lowest common multiple of 3 and k?
441
Let m be 6 - 1 - (-11 - (-3 - -1)). What is the common denominator of 143/30 and ((-117)/m)/((-1)/((-35)/200))?
240
Let j = 450294083/780 + -577300. What is the common denominator of -161/156 and j?
780
Let p(f) = -f**2 + 49*f - 240. Let i be p(43). Calculate the common denominator of 83/75 and ((-12)/i)/(450/(-280)).
675
What is the common denominator of -5 - ((-43008)/(-4347) + -15) and 3/1357?
12213
Let d(x) = x**3 + 101*x**2 - 118*x - 1592. Suppose -b + 0 = 2. Calculate the lowest common multiple of b + 2 - (0 - 4) and d(-102).
40
Suppose -909*z = -933*z + 768. Calculate the least common multiple of 9488 and z.
18976
Calculate the least common multiple of 171 and (2 - 21)/((-92)/4508).
8379
Suppose 35*d - 41*d + 480 = 0. Suppose 0 = 77*i - d*i + 708. Let u = 499/2 - i. What is the common denominator of u and -101/6?
6
Suppose -2*s = -3*f - 5*s - 3, 0 = -s - 4. Suppose -277 = f*j + 2*a - 824, -917 = -5*j + 2*a. What is the smallest common multiple of 30 and j?
1830
Let v(k) = k**2 + 8*k + 6. Let h be v(-8). Suppose 0 = 2*s + 2*d - 22, -s - 5*d = -h - 9. Calculate the least common multiple of s and 19.
190
Let m = 207 + -211. What is the smallest common multiple of (-10)/m - (-63)/42 and (4 + 0/4)*(0 + 2)?
8
What is the least common multiple of 305 and (-719)/(-12) + (-5)/(-60)?
3660
Let o be 194728/1205*(2/4*-3 - 1). Let u(z) = 19*z + 1. Let m be u(-3). What is the common denominator of (-2)/7 - o/m and 43/2?
2
Let j(m) = 4*m**3 - m. Let q be j(2). Let f be (3 - (-2318)/q)*5/2. Let p = f - 205. Find the common denominator of p and 21/11.
33
Suppose s + 2*u - 210 = -0*s, -421 =