and 223?
446
Let o(z) be the third derivative of 47*z**5/60 - z**4/8 - z**3/6 - 15*z**2. Let j be o(-1). Let x = j + -47. What is the lowest common multiple of 4 and x?
4
Let x = 200 + -196. Suppose 4 = y - x*r - 3, 0 = -3*y - 5*r + 38. Calculate the lowest common multiple of 31 and y.
341
Let u = 5897 + -5672. Calculate the smallest common multiple of u and 3025.
27225
Suppose 4*a = 16, 6*r = 14*r + 3*a - 572. What is the lowest common multiple of 1295 and r?
2590
Calculate the common denominator of (-34)/(-1248)*73 + (126 - 128) and -87/112.
4368
What is the common denominator of -37/509 and ((10 - 9)*66/10)/(2/(-5))?
1018
Suppose -3*a - 7*z = -10*z - 39, -4*z + 74 = 3*a. What is the smallest common multiple of 484 and a?
4356
Calculate the common denominator of -58/763 and (-395)/175 - 20/(-28).
3815
Let y be (-17823070)/630 - (8*-2)/(-4). Let x = -28294 - y. What is the common denominator of -83/105 and x?
315
Let w = 8 + 1. Let m = 11 - w. Suppose -4*f = 43 - 67. What is the smallest common multiple of f and m?
6
Let z = -3638 - -3645. Let d(k) = 2*k**3 - k**2 + 9*k - 6. What is the smallest common multiple of z and d(3)?
462
Let n be 2/10 + (-691)/(-520). Let g = n + 35/26. What is the common denominator of g and ((-4464)/(-81))/(-8) - -5?
72
Suppose -11*u - 64*u + 17 = -1333. Calculate the least common multiple of 38 and u.
342
Calculate the common denominator of (-8)/(-40)*12/(-7) and ((-2)/110)/(125/(-675)).
1925
Let f(u) = 17*u**3 - u**2 + 41*u - 210. What is the least common multiple of 9 and f(4)?
1026
Let z = -2126 + 2121. Suppose 0 = -5*s - 6 - 44. Calculate the common denominator of -11/2 and (-117)/s*z/(-10).
20
Let m(o) = -o**2 + 45*o - 352. Calculate the smallest common multiple of 76 and m(33).
836
What is the common denominator of -49/4 and (9/(-6))/((-2623)/1462)?
244
Let u be (16448/16446 - 1)/(19/228). Let q = u - -68333/131568. What is the common denominator of q and -47/54?
432
Let c = -59690 + 2864995/48. Let w = 4928407/96 - 51339. Calculate the common denominator of c and w.
96
Suppose 0 = -3577*a + 3576*a + 45. What is the lowest common multiple of a and 60?
180
Let m(d) = -3*d**2 + 27*d + 13. Let z be m(9). Suppose z*w - 2*w - 198 = 0. What is the smallest common multiple of 12 and w?
36
Suppose -5*t = 10, 4*t + 20 = -5*i + 22. What is the common denominator of i*(-1)/3 + 1509/1656 and -39/4?
184
Let s(u) = -u + 10. Let q be s(-2). Suppose 13*j = q*j - 3. Calculate the common denominator of (192/(-52))/(-4) - j and -81/8.
104
Suppose -2*u - 5*o + 23 = 0, 0 = -4*u + 2*o + 10 - 0. What is the common denominator of -47/44 and (8 - 62/6)*(-78)/u?
44
Let l be 4/30 + 178/(-1510). Let y = l - 21361/4530. Let t = 71373/6964 - -2/1741. Calculate the common denominator of t and y.
20
Let q = 3491 - 3479. What is the least common multiple of q and 568?
1704
Let f = 59763/16 - 3735. Find the common denominator of f and 121/3624.
7248
Let f = -3012575/33 + 91291. Suppose -3*v = -v - 4. What is the common denominator of (268/(-54) - -1) + v and f?
297
Let u = -2763 + 2777. Calculate the smallest common multiple of 1166 and u.
8162
Let c = 218 - 191. Suppose -c*h + 325 = -269. Calculate the least common multiple of h and 88.
88
Let k = -348819937/840 - -415262. Calculate the common denominator of k and 32/63.
2520
Let x = -22139 + 7527337/340. Calculate the common denominator of x and 129/70.
2380
Let y = 81031/74730 + -106/705. What is the common denominator of y and 70/9?
954
Find the common denominator of ((-2)/(-4))/(1260/(-270)) and -7/1760.
12320
Suppose 4*x + 3 = 5*f + 22, -3*f = 9. Let n = -5937 - -5973. Find the common denominator of 97/22 and 327/n - (x - (3 + 1)).
132
Suppose 5*f - 44 = -24. Suppose -60 = f*t - 16. Let x(u) = -u**2 - 14*u + 9. What is the smallest common multiple of x(t) and 33?
462
Let q(b) = b**2 + 18*b - 28. Let g be q(-20). Let f be 4/(-16) - (-3)/g. Find the common denominator of ((-123)/2)/(-7 + (f - -1)) and 44/35.
140
Suppose 4*w + 12 = -4*p, 30 = -4*p - 0*w + 2*w. Calculate the common denominator of 45*p*25/(-18540) and 43/12.
1236
Suppose -19 = -y - b, 0 = 5*y - 7*y + 5*b + 73. Suppose -5*l + 665 = 5*k, 3*k + 6*l - l = 401. Let w = k + -96. Calculate the least common multiple of w and y.
72
Let u = -46970371/10320 - -68272/15. Find the common denominator of u and -127/144.
6192
Let k = -228 - -178. Calculate the smallest common multiple of (k/20)/(10/(-16)) and 42.
84
Let j(c) = -c**3 + 12*c**2 - 3*c + 7. Let g be j(12). Let p = 32 + g. Calculate the lowest common multiple of 4*((-7)/2 - -4) and p.
6
Let m = -5878792/209 + 28128. Find the common denominator of (-1016)/(-1143) + (-334)/1368 and m.
836
Let i = 9519/4 - 2372. Find the common denominator of i and 182/12*6/(-40).
40
Let k(y) = -6*y + 2. Let r be k(-6). Let o = r + -33. Suppose 19 = o*d - 41. Calculate the lowest common multiple of 5 and d.
60
Suppose 19 = 4*s - 5. Let m(i) = 4*i + 33. Calculate the smallest common multiple of m(-8) and s.
6
Suppose 14 = 30*j - 23*j. Suppose -5*d + 14 = 2*y, 9*d = 11*d + 2*y - j. Calculate the least common multiple of 11 and d.
44
Suppose 775 + 728 = 9*q. Let p = 185 - q. What is the smallest common multiple of 18 and p?
18
Let h(k) = k**2 + 10*k - 43. Let b be h(10). Suppose 4*x + 4*i = 580, 3*i - b = -x + 5*i. What is the common denominator of (13 + -15)/(2 - 262/x) and 63/16?
144
Suppose 0*n = 4*n - 3*u - 92, 2*n = -u + 36. Find the common denominator of ((-39)/n)/(-10 - (-348)/30) and 79/8.
32
Let u = 852 + -845. Let p(n) = n**3 + 7*n**2 - 10*n + 9. Let b be p(-8). Calculate the least common multiple of u and ((-90)/b)/((-2)/5).
63
Suppose -177*q + 151*q + 371462 = 0. Let d be (9/(-7))/(50/556045). Let a = q + d. Find the common denominator of -11/28 and a.
140
What is the common denominator of (-7085)/35316 - (-5)/60 and -37/1566?
4698
What is the common denominator of -1*9 + (-221473)/(-25056) and -23/108?
864
Calculate the lowest common multiple of 6 and 6/1*8646/198.
786
Find the common denominator of ((-54)/9)/30*740/(-276) and 77/624.
14352
Find the common denominator of (-9)/(-147)*354*11/(-198) and 30/1127.
1127
Let s = 3126 + -2916. What is the lowest common multiple of s and 30?
210
Let v(t) = -14*t - 11 - t + 13*t + t**2. Let h be v(5). Suppose -111 = -h*b - 0*n - n, -b + 24 = -n. Find the common denominator of b and 61/12.
12
Let d be 27 + -22 - 1*19. Let f be (200/20)/(2/d). What is the common denominator of 47/20 and ((-12)/f)/((-180)/1827)?
100
Let b(d) = -10*d**2 - 15*d - 45. Let u be b(-5). Find the common denominator of ((-3)/(-15))/((-20)/(-58)) and 1 - 0 - (5 + u/(-8)).
50
Let v(i) = 2*i**2 + 7*i - 6. Let j be v(1). Calculate the smallest common multiple of (-12)/j + (-6 - -12) + 4 and 18.
18
What is the smallest common multiple of (45765/(-226))/((-15)/12) and 48?
1296
Let k = -3366 + 40261/12. Let s = -181543 + 363069/2. Calculate the common denominator of s and k.
12
Let t be 2374/(-320) - (-1)/5. Let c = -1661/96 - t. Find the common denominator of (45/96)/(-3)*-7*(-2)/10 and c.
96
Let z = -83189/12 - -6933. Find the common denominator of z and 27/5138.
30828
Suppose 0 = -5*t - 3 + 18. Suppose 3*y - t*r = -54, -4*r = -5*r + 2. Find the common denominator of (-3)/36*(1 - (-124)/y) and -53/6.
48
Suppose -105*j + 3853 = -32673 - 7154. What is the smallest common multiple of j and 672?
8736
Let f = 26649/38 + -701. Calculate the common denominator of f and -13/10.
190
Suppose 3*r - 3*l = 826 - 49, -l + 506 = 2*r. Let g = -244 + r. Calculate the least common multiple of 2 and g.
22
Let c = 181 - 85. What is the smallest common multiple of c and (8 + 119/(-14))/((-4 + 2)/40)?
480
Let x(s) = 182*s - 65. Let o be x(4). Let z = o + -597. What is the least common multiple of z and 33?
66
Suppose -18*w - 50 = -1922. Suppose 6*x - 188 = -w. What is the lowest common multiple of 516 and x?
3612
What is the smallest common multiple of 9 and 4/2 - (-1*(-6 - -692) + 10)?
2034
Let g = -10268117/316 + 32494. Find the common denominator of 5/2 and g.
316
Let w be (-104)/(-14) + (-22)/(-14) + -2. Let h = -21 - -27. Suppose h*f - 30 = w*f. Find the common denominator of -31/7 and f.
7
Calculate the smallest common multiple of 325 and 77940/390 + 12/78.
2600
Let k(n) = 3*n + 1. Let i be