t t = -47518031/174 + 273093. Calculate the common denominator of t and 23/216.
6264
Suppose 5*h = -4*a + 219, -5*h + 0*h + 107 = 2*a. Find the common denominator of 20/80 + (-82)/a and -59/4.
28
Suppose 1199*r = 1212*r - 104. What is the smallest common multiple of 642 and r?
2568
Let n be -2 - (7/42)/(11/(-192506)). Suppose 5*l = -3*d + 8745, d - 2915 = -5*l + 2*l. Let i = d - n. Calculate the common denominator of i and -58/15.
165
Let s = 60769/6 - 26042/3. Let k = s - 1483. Let d = 52339/4152 - -10/519. What is the common denominator of k and d?
8
What is the smallest common multiple of -13 - (-823 - 66/11) and 1428?
5712
Let k = 3713/6 - 619. Let n = -42 + 27. Calculate the common denominator of (-15)/5 + n/26 and k.
78
Let c be 13/(-15) + (-16)/120 - 21. What is the common denominator of c/(-154) - (-23)/(-112) and ((-30)/18)/(4/18)?
16
Suppose 5*s + 36054 = -4*s. Let o = -60059/15 - s. Find the common denominator of o and -79/24.
120
Let d be -3 + (-12)/(-2) - 1. Let q(v) = -2*v + v**d - 265 + 6*v + 256. What is the common denominator of 42/11 and q(-6)?
11
Let u(r) = r**3 + 51*r**2 - 112*r - 208. What is the lowest common multiple of u(-53) and 25?
550
Find the common denominator of ((-22)/(-8) + (-126)/56)*45/25 and (118/(-12))/(10/6).
10
Let u = -6 + 13. Suppose 0 = d - 21 - u. Calculate the smallest common multiple of 1*(d/8 - (-9)/6) and 24.
120
Let h(y) = -147 + y + 169 + y. Let x be h(-9). Suppose x*s + s = 40. What is the lowest common multiple of 6 and s?
24
Calculate the common denominator of -24*389/(-3105) - 3 and -4/69.
1035
Suppose -4*l = -1117 + 1089, 2*y - 4*l - 2352 = 0. Calculate the least common multiple of y and 1309.
13090
Let u(n) = 64*n - 73. Let y = -141 + 231. What is the smallest common multiple of y and u(2)?
990
Suppose v - 2 = -3, q - 713 = -v. What is the least common multiple of q and 918?
6426
Let m be 15/10*(-5 - (-54)/6). Let t(s) = -6*s + 42. What is the smallest common multiple of 16 and t(m)?
48
Let s be 21/(-3) - 208264/352. Let n = -2405/4 - s. Calculate the common denominator of 83/22 and n.
22
Let g = 88226/302451 - 223/557. What is the common denominator of g and -89/12?
2172
Suppose -10*p = p - 19*p + 112. What is the smallest common multiple of p and 142?
994
Let b = 87563 - 87467. Suppose -5*l + 2*k + 20 = -2*k, 12 = 3*l + 3*k. What is the least common multiple of b and l?
96
Suppose 3*p - 2*k + 181 = 0, -3*p - 59 = -2*p - k. Calculate the lowest common multiple of 507/21 - (-9)/p and 21.
168
What is the common denominator of 79/6 and 16/(-36) + (-494)/1872?
24
Let g be 6/(-4) - ((-1)/2 - 1). Let m(b) = -b**2 - b - 1. Let l be m(g). Calculate the common denominator of (1/(-44))/(l - (-137)/140) and -41/9.
99
Let k(m) = m**3 - 14*m**2 - 14*m - 2. Let w be k(15). Suppose w*b - 2*b = -22. Calculate the common denominator of 48/5 and 4/(-11) + (0 + -3 - b).
55
Let u = -19774618/771 - -25648. Calculate the common denominator of u and -58/5.
3855
Let a = 15734 - 15718. What is the least common multiple of a and 212?
848
Let f = -3111 + 55883/18. Let x be 1/8*2 - (-13007730)/1888. Let r = -6885 + x. Calculate the common denominator of r and f.
144
Let f(a) = 2 + 3*a + 92*a**3 + 4*a**2 + 85*a**3 + 325*a**3. Let b be f(-2). Calculate the common denominator of 131/6 and b/(-104) - (1 + 1 + 2).
6
Let c = 15048 - 14976. What is the smallest common multiple of c and 40?
360
Let p = -58 + 112. Suppose -14 = p*a - 55*a. Suppose 2 + a = h. Calculate the least common multiple of 28 and h.
112
Let n(l) = -17*l - 9. Let q be n(6). Calculate the least common multiple of 56 and ((6 + q)/5)/((-3)/2).
56
Let m(f) = -f**3 + 5*f - 1. Let g(s) = -s**3 + 6*s**2 + 1289*s - 60. What is the lowest common multiple of m(-5) and g(39)?
198
Let v(p) = 76*p - 224. Calculate the lowest common multiple of v(3) and 784.
784
Suppose -50*k - 10 - 122 = -52*k. What is the lowest common multiple of 1980 and k?
1980
Let t(v) = -v**2 - 66*v + 219. What is the smallest common multiple of t(-69) and 44?
132
Suppose 0 = -3*x + 23*x - 5060. What is the common denominator of -91/6 and (x/(-230))/((-3)/6)?
30
Let k = -40/47 + 4717/2726. What is the common denominator of 93/548 and k?
15892
Suppose 4*y = 22*y - 378. Suppose -143*t - y = -146*t. What is the least common multiple of t and 14?
14
Let h(l) = -289*l**2 - 47*l - 8. Let w be h(7). Let u = 362387/25 + w. What is the common denominator of u and -53/50?
50
Let t(y) = 287*y - 1715. Calculate the smallest common multiple of 25 and t(6).
175
Let f(s) = -2*s + 10. Let u be f(0). Let c(d) be the second derivative of d**4/12 - 4*d**3/3 - 8*d**2 - 15*d. What is the lowest common multiple of c(u) and 20?
20
Let b = -33 + 83. Suppose -5*l + 604*f - 609*f = -70, l - 3*f = 18. What is the smallest common multiple of l and b?
150
Let j = -5042 + 45329/9. Calculate the common denominator of j and 140/(-5740)*84/3.
369
Let m(w) = -2*w**3 + 38*w**2 - 9*w + 176. Let u be m(19). Calculate the least common multiple of 30 and 23 - u - 5 - (2 + -4).
30
Let b(h) = -h**2 - 44*h + 2. Let l be b(-44). What is the least common multiple of 3 and (-14)/(-77) + l + (-282)/(-22)?
15
Let o be -4 + 56269014191305/(-51952)*-30. Let i = o + -32492886227. Let r = i - -1/3247. Find the common denominator of r and 91/10.
40
Suppose -25 = -5*h, -3*v - 4*h = -674 - 351. What is the smallest common multiple of v and 15?
1005
Let f = -244927/116907 + -1/5567. Calculate the common denominator of f and 199/(-84) + (-2)/8.
21
Let u = 128865 + -107860021/837. Calculate the common denominator of u and 68/1395.
4185
Let a = 689010264326911148/273970482572878377 + -3/1015303391897. Let j = a + 2/8177. Find the common denominator of j and (-575)/180 + 1/(-4).
99
Suppose 2*g + 4 - 8 = 0. Suppose -3 = -g*i - 23. Calculate the lowest common multiple of 30 and ((-4)/i)/((-5)/(-200)).
240
Find the common denominator of 3/5 and (23790/11920 + -2)*138/10.
5960
Let v = -14 - -17. Suppose -y = -4*b - 2*y - 42, v*y + 36 = -3*b. Let p = b + 17. What is the lowest common multiple of p and 15?
105
Let a = 2338/5 + -109681/235. Let q = -30961/5 - -31023/5. Find the common denominator of a and q.
235
Calculate the lowest common multiple of 6 and (13 + (3 - 7))/(4/1076).
4842
Suppose 0 = -8*r + 2 + 22. Suppose -3 = 5*x + r*o, 3*x = -2*x + 5*o - 35. Find the common denominator of 118/(-4)*((-14)/x)/7 and -109/6.
6
Let z be (-110)/(-25) + -4 - (-13)/5. Find the common denominator of (-73)/(-16) + (z/(-6))/(-1) and -99/80.
80
Let c be (76/(-18) - (-2)/9) + 19. Suppose -51 = -c*u + 14*u. What is the lowest common multiple of 51 and u?
51
Suppose 0 = 9*s + 1069 + 407. Let r = 168 + s. Calculate the least common multiple of 5 and r.
20
Let k = -18499514/543 - -34069. What is the common denominator of -61/1086 and k?
1086
Calculate the common denominator of 154/20 - (-35)/(770/(-44)) and 64/5675.
11350
Let f = -8099/648 + 91/81. Let x be 342 + ((-182)/84 - 1/(-6)). What is the common denominator of x/208 - -1*2/8 and f?
104
Suppose 57*h - 13419 - 3603 = -1062. What is the lowest common multiple of 1540 and h?
3080
Let k = 8172 - 629274/77. What is the common denominator of 46/781 and k?
5467
Let x(c) = 3*c - 23. Let l be x(9). Suppose -272 = -4*r + l*u, 2*r - 3*u + 7*u = 112. What is the lowest common multiple of 8 and r?
64
Let p = -168 - -177. Let u = -187 - -191. What is the least common multiple of p and u?
36
Suppose -4*g + l = -34, 0 = -g - 4*g - 2*l + 36. Calculate the smallest common multiple of 4 and g.
8
Let d be (-17)/(-4) + 4/(-16). Find the common denominator of 106*(3 - (d/80 + 3)) and 339/42 - (-3 - -6*1).
70
Let b = -52854397169 + 2727604020147167/51606. Let g = -1/11468 + b. Calculate the common denominator of 109/54 and g.
108
Suppose 0 = -6*t - 2 + 20. Let o(n) = -40 - t*n - n - 2*n + n. What is the lowest common multiple of o(-11) and 12?
60
Let n(i) = -2*i**3 + 5*i**2 + 4*i - 5. Let x be n(4). Let g be (-1 - -2)/((-11)/495)*-1. Let m = g + x. Calculate the lowest common multiple of 4 and m.
8
Let z = -209 - -47. Find the common denominator of (-2 - -1)*97/22 and (z/(-60) - 3)*17/(-3).
110
Let p = 663670 + -4665279/7. Let f = p + 2804. Find the common denominator of f and 139/18.
126
Let u = 1933/2 + -941. Let h = 2400189 - 71951