lculate the common denominator of 1/24*57/(-15) and n.
120
Calculate the common denominator of 17833/20808 + (-70)/12 + 5 and -101/24.
1224
Let l = 280 + -428. Let x be (5 + (-2 - 0))*-3. Calculate the lowest common multiple of 2/x - l/18 and 5.
40
Let b(c) = 412*c**2 + 3*c + 3. Let x be b(-2). Let p = x + -11534/7. Calculate the common denominator of 1*(-146)/(-7)*(-854)/(-2928) and p.
84
Suppose 2*m = -2*m - 140. Let n = 62 + m. Let l(g) = 5*g**3 - 4*g**2 - 5*g + 19. What is the least common multiple of n and l(2)?
297
Let u be 49352/5736 + -5 + -4. Let b = u + 165503/325518. Find the common denominator of b and -65/14.
3178
Let b(s) = -9*s + 130. Let r(m) = m + 2. Let l(n) = b(n) - 2*r(n). Calculate the smallest common multiple of 92 and l(10).
368
What is the common denominator of -19/132 and (3/(-90)*4)/((-3977)/(-410))?
12804
Let p(i) = 5*i**2 + 32*i + 14. Let k be p(-6). Calculate the common denominator of -85/42 and (-805)/126 + (-1)/(k/4).
126
Suppose 0 = -a - 5*z - 32 + 12, -4*z = -4*a + 40. What is the lowest common multiple of (2 - 13) + 143 + 32 and a?
820
Calculate the least common multiple of (3 - 18)/((-72)/15960) and 4275.
29925
Suppose 7*a + 312 = 32. What is the smallest common multiple of 3/(-4 - 175/a) and 20?
40
Suppose 4*f - 7 - 5 = -2*o, 4*f + 38 = 3*o. Suppose -44 = -12*l + o*l. Let h = -19 + l. What is the smallest common multiple of h and 5?
15
Let n = 21 - 15. Find the common denominator of -2*(0 + 178/48) and (n/(-8))/((-798)/8740).
84
Let m be -2*2/(-2) - (-198264)/(-99201). Let v = m - 475801339/198402. Let l = v - -2392. What is the common denominator of -19/2 and l?
6
Suppose 17*o - 108*o = -160813 - 163875. Calculate the smallest common multiple of o and 16.
3568
What is the common denominator of -83/100 and 84/20 + -4 + (-2988)/1680 - -2?
700
Let r = 567 - 6. Let w = r + -513. What is the lowest common multiple of w and 12?
48
What is the smallest common multiple of (3 - (-307)/5) + 258/(-645) and (-12)/(-10)*(58 + 2)?
576
Calculate the common denominator of -51/2092 and 10/(-8)*1*(-4407)/(-975).
10460
Suppose 94*i - 92*i - 1584 = 0. What is the least common multiple of i and 44?
792
Let o = -170887661 + 7861230083/46. Let v be 5762*(21/6 - (-3 - -5)). Let l = o - v. Calculate the common denominator of l and 37/6.
138
Let t = 585130 + -2916509/5. Let l = t - 1838. Calculate the common denominator of -7/40 and l.
40
Let r = 94873/118800 - 638/675. Calculate the common denominator of -53/385 and r.
6160
Suppose -166*l - 2*l - l + 1331 = -2387. Let r(y) = 7*y. What is the lowest common multiple of r(2) and l?
154
Suppose -44853 = -195*j - 10338. Calculate the least common multiple of j and 66.
3894
Suppose 0*u - u + 7*u = 0. Suppose -4*x - 4*f + 20 = 0, x = 2*f + 5 + 6. What is the smallest common multiple of 24 and u + 6 - (-5 + x)?
24
Let d = 10/3951 + 271979/252864. What is the common denominator of 3/8 and d?
64
Let w be (3/(-5))/(4/(-20)). Suppose 0 = -s - n + 2 + 10, -w*s = 5*n - 32. What is the smallest common multiple of (152*27/(-1080))/(1/(-10)) and s?
266
Suppose 0 = 22*j - 27*j - 100. Find the common denominator of 89/30 and 2 - (114/j - 1).
30
Let o(x) = -20*x - 1. Let r be o(-5). Suppose 0 = -15*q + 4*q + r. Calculate the least common multiple of 12 and q.
36
Calculate the common denominator of (-1 + (-294)/(-45))*(-30)/(-930) and -31/9.
1395
Let m(t) = 6*t - 85. Let d be m(15). Suppose q - d = 0, -z - 2*q = -4*z - 4. What is the lowest common multiple of 14 and z?
14
Let d = -626 + 389. Let m = -18485/78 - d. Find the common denominator of -121/36 and m.
468
Let c = 73 + -52. Suppose 0 = 4*w + 5*f - 51, -7*w + 2*f = -2*w - 39. What is the smallest common multiple of w and c?
63
Suppose 2*u - 4 = -n + 7, -5*n - 5 = 0. What is the common denominator of -119/6 and (-410)/(-144) + u/(6 - 12)?
72
Suppose 0 = -22*g + 5415 + 42952 + 19393. What is the smallest common multiple of g and 1?
3080
Suppose -5*g + 52 = 3*c, 68 = 5*c - 25*g + 24*g. Calculate the smallest common multiple of 238 and c.
238
Suppose 21*p = -15*p + 38*p. Suppose p = -4*m + 3*a + 15, 4*m - 3*a + 12 = 9*m. What is the smallest common multiple of m and 18?
18
Let d be 5 + -5*(28/(-20) + 3). Calculate the common denominator of -103/14 and (-29)/(-56)*((-52)/d)/(-13).
42
Suppose 6*v = 5*v + 3*c + 283, -1434 = -5*v - 4*c. What is the least common multiple of 30 and v?
4290
Suppose -13493*y - 340 = -13510*y. Suppose 2*l = -3*b + 19, 2*b + l + 2*l - 16 = 0. Suppose b*v = -87 + 247. Calculate the smallest common multiple of v and y.
160
Let y = 3403/390 - 37/260. Suppose 36 = -4*f - 4. What is the common denominator of 4/f*(-225)/(-12) and y?
12
Let i = 569 + -2373/4. Let k = -20630 + 1237687/60. What is the common denominator of k and i?
60
Let a(m) = -159*m + 123. What is the smallest common multiple of 7 and a(-25)?
28686
Let r = 12 - -24. What is the common denominator of (61*(-5)/10)/(8/1) and (-2)/3 + 573/r?
16
Suppose 6 = -2*x + 8. Let u(k) = 6 + k + 8 + x. What is the lowest common multiple of u(-4) and 11?
11
Let q(t) = 4*t + 17. Let n be q(-4). Calculate the smallest common multiple of 13/n + 48/(-6) + 6 and 13.
143
Let c = -35760 - -1609292/45. What is the common denominator of c and 14/56 + -2 + (-812)/80?
90
Let m = 10434 + -10372. Let x = 14 + -8. Calculate the least common multiple of x and m.
186
Let d = 2677 + -2672. Calculate the lowest common multiple of d and 5950.
5950
Let z(x) be the first derivative of x**3/3 + 51*x**2/2 + 82*x - 85. Calculate the least common multiple of 26 and z(-50).
416
Suppose 0 = -4*p + 76*z - 74*z + 70, 40 = p - 5*z. What is the smallest common multiple of p and 720?
720
Let x = -959/260 - -98/13. What is the common denominator of x and (-61)/(-36) + 2/9?
60
Let n(c) be the third derivative of c**5/60 - 25*c**4/24 - 59*c**3/6 - 157*c**2. What is the least common multiple of 45 and n(28)?
225
Let x = 6033 - 18098/3. Let u(s) = -893*s + 2. Let v be u(-3). Let o = -83058/31 + v. Find the common denominator of x and o.
93
Let b(w) = -w**3 - 8*w**2 - 9*w - 2. Let l be b(-6). Let x = -302 - -292. What is the least common multiple of l/(-3) + x/15 + 0 and 126?
126
Let g be (-4633407)/108 - (-2)/3. Let d = -1876131/44 - g. Let i = d - 257. What is the common denominator of 89/4 and i?
44
Suppose 301 = -23*a + 16*a. Let r(y) = -y**2 - 44*y - 39. Calculate the smallest common multiple of r(a) and 16.
16
Let p(h) = -3*h**2 + 66*h - 30. Let m be 18*(-5 - 37/(-6)). What is the smallest common multiple of 21 and p(m)?
231
Let a(l) = l**3 - 8*l**2 - 18. What is the least common multiple of a(9) and 1050?
3150
Let a = -44052/11 - -4002. Let i = 10837643/160 + -67735. Find the common denominator of i and a.
1760
Let s = -9/2480 - -74939/1515280. Find the common denominator of s and 4/1739.
22607
Let q be (4*(-1676615)/(-900))/((-2)/5). Let i = q - -18636. Let x = 101/60 + -539/60. What is the common denominator of x and i?
90
Suppose -4 = 2*z, s - 3*z = 2*s - 333. Let t be ((-8)/6)/((-14)/(-3573)). Let l = t + s. Find the common denominator of -74/3 and l.
21
Suppose 14*r = 12*r + 27*r - 500. Let y(g) = 22*g. What is the smallest common multiple of r and y(1)?
220
Let w = -267601/66 - -4054. Calculate the common denominator of w and -50/11.
66
Let o = 693101/1742160 - 735/2074. Find the common denominator of -55/7 and o.
1680
Let a = 352 + -170. Suppose 9*u + 164 = a. What is the least common multiple of u and 48?
48
Calculate the common denominator of -81/1730 and (-355)/3*462/(-12320).
13840
Let h be (18 - -5) + 4 - (1 - 2). Let q = 61 + -31. Suppose -23*c - q = -h*c. Calculate the smallest common multiple of 15 and c.
30
Let h(n) = 2*n**3 - 2*n**2 - 2. Let k be h(2). Suppose -k*p + 5 = -p. Calculate the least common multiple of p and 11 - -1 - (0 + 0 + 6).
6
Let a = 166 - 162. Suppose 0 = a*r - 2*p - 91 + 19, 8 = r - 3*p. What is the lowest common multiple of r and 240?
240
Suppose -h + 3 = -w - 7, 25 = -5*w. Suppose -16*j + 319 = -h*j. Find the common denominator of -1 + (5 - 3) + j/24 and 43/30.
120
Let h = 43 - 44. Calculate the least common multiple of 6 and (-9 - -10)/((h + 2)/22).
66
Calculate the common denominator of 125/18 and -12 - (-13 - (-2505)/2844).
2844
Let a = -292/7 + 2007/56. Let q = 153