-9835 + 9859. Calculate the smallest common multiple of 480 and j.
480
Let f(d) = d**3 - d**2 - 5*d + 9. What is the least common multiple of 14*(9/15 + (-108)/(-420)) and f(3)?
12
What is the common denominator of 49/810 and ((-5)/((-1050)/12))/((-1044)/(-4727))?
5670
Suppose -b + 35 = c, 4*c + 45 = -3*b + 185. Let q = 504 - 364. What is the least common multiple of q and c?
140
Suppose r + 0*r = -2*v + 43828, -2*v + 43828 = -4*r. Let p = 34777517/1587 - v. Let d = p + -147589/3174. Calculate the common denominator of 23/10 and d.
10
Calculate the common denominator of 12/((-100800)/3610) - (-3)/(-5) and 45/1274.
15288
Let p = -63 + -490. Let q = p - -1075/2. Let c = -95/18 + 208/9. What is the common denominator of q and c?
6
Let v be (11 + 0 + 1)*7/28. Let p = -14781/3934 - 8/281. Calculate the common denominator of 57/(-12)*v/15 and p.
140
Let a = -144059 - -234383975/1627. Let c = a + 17491/3198682. Calculate the common denominator of 25/12 and c.
11796
Let f = 54/1579 - 147555/574756. Find the common denominator of -9/77 and f.
4004
Suppose -10*d = 60 - 190. Find the common denominator of -143/6 and ((9516/(-8))/d)/(-6).
12
Let r(v) = v**3 - 52*v**2 + 93*v + 390. What is the lowest common multiple of r(50) and 890?
3560
Suppose 2*g = -3*b + 708, b + 3*g - 236 = -g. What is the lowest common multiple of b and ((-9)/(-2) - 5)/(7 - 339/48)?
472
Let y(c) = c + 29. Let k = 77 + -85. Let r be k + 1 + (-5)/(-25)*0. Calculate the lowest common multiple of 66 and y(r).
66
Let w = -143 - -273. Suppose 2*f + 12 = 0, -d = 1811*f - 1807*f - 21. What is the least common multiple of w and d?
1170
Let s = 701 - 774574/1105. Find the common denominator of -71/26 and s.
2210
Let t = -3781974/2669 - -1417. Let s = t + 136160/109429. What is the common denominator of -7/10 and s?
410
Let s = 40088/15 - 2672. Let l = -47767/4854 + 6/809. Calculate the common denominator of l and s.
30
Let b(m) = -m**2 + m + 40. Let a be b(0). Let k = a - 34. What is the common denominator of (k - 3)*484/(-240) and -31/50?
100
Suppose 0 = u - 4*k - 13, 3*u = -2*u + k + 8. Suppose c - 8*s = -29, -3*c - 79 + 106 = -5*s. What is the lowest common multiple of u and c?
19
Suppose 0 = 34*c - 68 - 34. What is the least common multiple of c and 29?
87
Let j(h) = -6*h**3 - 5*h**2 + 10*h + 23. Let n be j(-3). Suppose 124 = a + n. Calculate the smallest common multiple of 238 and a.
238
Let z be (-18370)/78 - (13 + -19). Let h = -229 - z. What is the common denominator of h and -64/39?
39
Let y = 13734241/169884 + -9778/121. What is the common denominator of y and 23/1404?
1404
Let b(t) = -7*t - 2. Let u be b(22). Find the common denominator of 91/2 and 6/2*u/(-56).
14
Let c = 21877 - 393907/18. Calculate the common denominator of 11/18 and c.
18
Let h(j) = 7*j**3 + 3*j**2 - 47*j + 231. Calculate the smallest common multiple of 430 and h(5).
4730
Let w = 186389/3135 + -34/627. Let d = w + -60. Calculate the common denominator of d and 3/1 + (-8 - 369/(-60)).
20
Let w(n) = -38162*n + 16. Let v be w(-6). Let x be -2 - (v/48 - -4). Let t = x + 4781. What is the common denominator of -38/5 and t?
60
Let q = 1566 - 1559. Calculate the least common multiple of 2750 and q.
19250
Let x = -62405/18 - -3468. Let p = -44188 - -2651123/60. What is the common denominator of p and x?
180
Suppose -4*z + p = -74, 2*z = -5*p + 3 + 23. Suppose 23*w - z*w - 140 = 0. Calculate the least common multiple of 10 and w.
140
Suppose 0 = -2*o + 2*b + 2278, -2*o - 3*b + 26 + 2277 = 0. What is the lowest common multiple of o and 2184?
24024
Let d be (-165)/9 + (-8)/(-6). Let c = 41 + d. Find the common denominator of (-347)/312 + c/156 and -4/3.
24
Let c be (-530390)/103740 + (-4)/38. Let a = 86/13 - c. Calculate the common denominator of -1*2/20 - 0 and a.
30
Let m(h) = -3*h. Let x(b) = -b + 1. Let g(o) = -2*o**2 + 18*o - 11. Let q be g(8). Let l be x(q). Calculate the lowest common multiple of m(l) and 24.
24
Suppose 0 = -2*j - 4*t - 8, -66*j - 16*t = -13*t - 1026. What is the smallest common multiple of (1 - 0 - 3)*-10 and j?
80
Suppose 2*i = 97 - 73. Let l = -163117/15 + 10880. Calculate the common denominator of (-167)/8*i/45 and l.
30
Let x = -19052 - -37747. Let d = x - 224189/12. Find the common denominator of d and -11/9.
36
Let g = -10773/8 - -1341. Find the common denominator of g and 3*-2 - (-3182)/481.
104
Suppose 10*z - 693 = -11*z. Calculate the smallest common multiple of (-8)/(-1) - (195/(-15) - -12) and z.
99
Calculate the smallest common multiple of ((-27)/18)/((-91)/23270) + (-6)/(-14) and 12.
384
Let l(d) = -d**2 + 21*d + 24. Let p be l(-3). Let w be (-2)/(-6) + 242/3. Let a = w + p. What is the least common multiple of a and 30?
330
Let o = 743469 + -904058373/1216. Find the common denominator of o and -121/1368.
10944
Let x(n) be the first derivative of 5*n**3/3 + 31*n**2/2 - n - 57. What is the smallest common multiple of 11 and x(-8)?
781
Let f = -1/1129 - -4717/226929. Find the common denominator of f and 44/63.
4221
Let c = 875/120132 - -6512608813/300330. Let u = 21690 - c. Find the common denominator of 9/5 and u.
20
Let o(l) = 9*l**3 + 26*l**2 + 19*l + 73. Calculate the smallest common multiple of o(-3) and 3390.
23730
Let z(t) = t**3 + 9*t**2 - 32*t - 9. Let s(n) = n**3 + 10*n**2 - 32*n - 9. Let v(q) = -3*s(q) + 4*z(q). What is the least common multiple of v(-9) and 36?
36
What is the lowest common multiple of 75 and -17 + (-17 - -13) + 339?
7950
Let j = 624329951 - 7497202133/12. Let k = j - -437172. Let c = -276 + k. Find the common denominator of -17/108 and c.
108
Suppose -l + 4*t = -40, -4*l + t + 160 = -0*t. Let c = -34 + l. What is the lowest common multiple of 6 and (c/7)/((-5)/(-35))?
6
Let w(u) = 5*u**3 - 4*u**2 - u + 4. Let l be w(-2). Let p = 71 + l. What is the smallest common multiple of 18 and p?
126
Suppose 8*x + 103 = 103. Suppose 4*n + 36 - 116 = x. Let g = 9 + 9. What is the lowest common multiple of g and n?
180
Let v be (88 - 93) + 2049 + 1. What is the common denominator of -133/12 and v/1350 - -4*(-5)/(-25)?
108
Suppose 0 = -2*u - 156 - 1012. Let l = u + 1239/2. Find the common denominator of 39/2 and l.
2
Let t = 647/2 + -335. Suppose -22*k + 26*k + 12144 = 0. Find the common denominator of (1/15*1)/((-176)/k) and t.
20
Let y(v) = v**3 - 4*v**2 - 9. Let f be y(5). Let j = f - -98. Calculate the least common multiple of 15 and j.
570
Let g = -228242/9 - -25356. What is the common denominator of 37/(-36) - (-1)/(-3) and g?
36
Let o = 841/212 + -38/53. Let v = 188 - 775/4. Calculate the common denominator of o and v.
4
Calculate the least common multiple of 99 and 21400/24 - (-12)/(-18).
891
Let l = 37 + -30. Suppose 0 = -3*m + l*m - 24. Suppose 3 + 3 = v. What is the smallest common multiple of m and v?
6
Let r(k) = -3*k - 56. Let f be r(-19). Let i be (-1 + f - (4 + -2)) + -6. What is the lowest common multiple of (12/i)/1*112/(-12) and 106?
742
Let j = 4/22879 - -1532689/1166829. What is the common denominator of j and ((-28727)/(-336))/23 - (-48)/256?
357
Suppose -5*a + 7 = -x - 29, -4*a - 5*x = -52. Let f = -216 - -220. Calculate the lowest common multiple of a and f.
8
Let q(m) = -5*m - 4*m - 116 + 26 - 8*m + 23*m. What is the lowest common multiple of q(16) and 1*1/(-2)*-38?
114
Suppose 3*n = -6*n + 189. Suppose -2*k - c - 3*c = -6, c + n = 2*k. Calculate the lowest common multiple of k and 3.
9
Suppose 3*c - 32*u = -36*u + 7428, -u = -4*c + 9904. What is the least common multiple of 22 and c?
27236
Let q(l) = 66*l**2 - 66*l + 378. What is the lowest common multiple of 8 and q(6)?
9432
Let c = -32715149/3140652 + 2/261721. Let f(n) = -3*n**2 + 2*n + 1. Let q be f(-2). What is the common denominator of (q + 1)*(-22)/120 and c?
60
Let l = 16 - 22. Let y be (l/(-4) - 9/(-18))*-2. Calculate the lowest common multiple of 12 and 8 + y + 0/1.
12
Let c = 66770/37949 + -129628526333/1821552. Let g = 71165 + c. Find the common denominator of -9/8 and g.
48
Let a(c) = -4*c**3 + 2*c**3 - 9*c**2 - 5 + 7 + 12*c + 7. Let l be a(-9). Calculate the common denominator of -63/10 and 6/(-27) - (-761)/l.
70
Suppose c = 4*c - 255. Suppose -4*n + 14 = -3*q, -2*q + 938*n = 934*n + 20. What is the least common multiple of c and q?
510
Suppose 3*j = -4*t - 97550, -4*t + 3*j = -