of f and 16?
16
Let d = 1961/4 - 496. What is the common denominator of ((-3)/(-144)*-2)/(4/234) and d?
16
Suppose -5*s + 17 = 2. Let n be 36/6*((-7)/s + 3). Find the common denominator of 64/(-18) - (4/n - 2) and -71/27.
27
Let j(h) = -h**2 - 4*h + 20. Suppose 0 = l + 2*l - 4*m + 25, -2*l = 2*m + 12. Let z be j(l). Find the common denominator of 113/20 and z/6*4/((-12)/111).
60
Let d be 55/35 + ((-11)/7 - -2). What is the common denominator of ((-1456)/(-21) + 9)*d/130 and 129/72 + 2/(-4)?
312
Let z = -11460 - -11613. Calculate the least common multiple of 374 and z.
3366
Suppose 4*x - 21 = 27. Let f(g) = 11*g + 9*g + 2*g**2 - 14*g. What is the least common multiple of f(-4) and x?
24
Let u(t) = -t**3 + 29*t**2 + 4*t - 112. Let k(y) = 1 - 6*y - 8 + 3*y. What is the least common multiple of u(29) and k(-5)?
8
Suppose -j - 26 = -46. Find the common denominator of -187/30 and (66/j)/(-7 - (-4208)/560).
60
Let u(k) = 10*k**2 - 3*k - 1. Let r be u(-1). Let g = -2989 - -2997. What is the lowest common multiple of (-12)/(r/(-3)) + 1 and g?
8
Let y be 77957/577464*175/14*-6. Let f = -2/24061 + y. Calculate the common denominator of 39/29 and f.
232
Let c be (-2)/3*2391/4. Let j = 1713 - 2102. Let d = j - c. Find the common denominator of 87/10 and d.
10
Let u = -89 - -89. Suppose u = -3*p + 102 - 75. Calculate the smallest common multiple of p and 48.
144
Let r = 2915216256/16033 - 181826. Let a = r - 1555153/384792. Find the common denominator of -151/54 and a.
216
Let u be ((-6)/224)/((-381)/195 - -2). Let w = u - 1711/1008. Calculate the common denominator of w and -11/14.
126
Let b = -16 - -16. Suppose b = -2*r - 50 - 6. Find the common denominator of (-38)/(-7) - 42/r and -53/8.
56
Find the common denominator of (21/(-10))/((-40)/12) and 19/16.
400
Find the common denominator of 37/1596 and (230/12236)/((-30)/738).
1596
Let r = -1126/317 - -40447/6657. Let v = -308755/77 + 4010. Calculate the common denominator of v and r.
231
Suppose -159*p = -1895 - 1060 - 5313. Calculate the least common multiple of 200 and p.
2600
Suppose -q - 5*y + 19 = 0, 3*y - 6*y = 5*q - 7. Find the common denominator of -25/69 and (3 + (-104)/q)/(-60).
1380
Let v(a) = a**3 + 4*a**2 + 4*a + 12. Let i be v(-5). Let y = -1958 - -3817/2. Find the common denominator of y and (14/(-108))/((-1)/i).
18
Find the common denominator of 127/308 and 17334/18*(-1)/700 + 16/12.
23100
Suppose 40*g = 34*g + 552. Let f be (22/(-6))/(g/(-30) + 3). Suppose r = -k + 36, 3*k - f = -2*r + 18. Calculate the smallest common multiple of r and 20.
140
Let t = 14 + 12. Let f be (-9)/18*(-6 - -2). What is the smallest common multiple of t and 3 - (0 + f + -7)?
104
Let g = -1175148575/2048 - -573803. Find the common denominator of 77/16 and g.
2048
Let f(q) = -q**2 - 14*q - 6. Let m be f(-10). Suppose -2*y = 2*n - m, n - 2 = -1. Suppose -111 = -12*k + 21. Calculate the least common multiple of k and y.
176
Let v = -18154 - -127059/7. What is the common denominator of v and -24/1181?
8267
Let v = 31 + 1. Let y = v - 33. Calculate the smallest common multiple of y/1*(1 - 3) and 58.
58
Let s be (193109/(-5))/(0 + 144/(-15)). Let t = 4024 - s. Find the common denominator of t and -161/30.
240
Let g = 6223/6 + -1035. Calculate the common denominator of -33/3848 and g.
11544
Let i = -1138235249/3560 - -319729. Find the common denominator of i and -39/4.
3560
Let f = -633053/206445 - 3/13763. Find the common denominator of f and 13/297.
1485
Let i(s) = -10*s + 35. Let c be i(-10). Let k = c - 55. Let y = k - 60. What is the lowest common multiple of y and 4?
20
Let q = -35 + 34. Let t be q + -1 + (0 - -46). Suppose 5*p + 3*i - 47 = p, 4*i = -3*p + t. Calculate the smallest common multiple of p and 16.
16
Suppose -24*f + 2178 = 14*f + 28*f. What is the smallest common multiple of 11755/45 + (-2)/9 and f?
2871
Let j = -49 + 47. Let b be (-6)/j - 5195171/(-583740). Let n = -1/5076 - b. What is the common denominator of -42/11 and n?
110
Let o = 516413/8778 + -1293/22. Find the common denominator of -56/57 and o.
399
Suppose 0 = -3*c - 34 + 94. Suppose 5*a = -2*r + 262, -4*a - 516 = -4*r + 36. Calculate the smallest common multiple of c and r.
680
Let p = -9 + 3. Let t = 259/220 + 83/22. What is the common denominator of t and 58/p*(-144)/64?
20
Let l = -1/23068 + 294167/1153400. Calculate the common denominator of 43/72 and l.
1800
Suppose 14*b - 5*b + 189333 = 0. Let k = b - -1156993/55. Calculate the common denominator of -109/20 and k.
220
Let w = 13962/17 - 417109/510. Find the common denominator of -19/66 and w.
330
Calculate the lowest common multiple of 231*((-45)/(-21))/(50/60) and 54.
594
Let o(m) = m - 37. Let h be o(13). What is the common denominator of 23/48 and -2 - 9/h - (27 + -31)?
48
Let w = 5550 + -11091/2. What is the common denominator of 43/7511 and w?
15022
Let f = -162 - -92. Let b = f + 75. What is the common denominator of (b - (-4 + 6))*(-130)/96 and -51/4?
16
Suppose -m + 20 = 4*m. Let u(t) = 2*t**2 - 4*t + 42. Let j be u(7). Suppose 0 = 24*s - 544 + j. Calculate the lowest common multiple of m and s.
36
What is the least common multiple of 7/(154/12588) + (-2)/11 and 52?
572
Let f = 70254/666655 - 6/5797. Let j = 6754/805 - f. Find the common denominator of j and (-66)/(-15) - -3*(-3)/18.
70
Let z be 518476/(-21) + 14/(-21). Let g = z + 691223/28. Find the common denominator of -113/10 and g.
140
Let a(m) be the second derivative of 1/2*m**2 + 0 - 1/6*m**3 - 20*m. What is the smallest common multiple of a(-3) and 20?
20
What is the common denominator of (114/(-368))/(20 - -2 - 5) and 53/8?
3128
Suppose -3*n + 4*n + 5 = 0, 5*h = -3*n + 55. What is the lowest common multiple of h and 1872?
13104
Let l be ((-2)/192)/((-454)/3829987566). Let h = 87876 - l. Let v = 410461/108960 - h. What is the common denominator of 91/30 and v?
30
Suppose -37 = -w + 5*x + 7, 5*w = -2*x + 4. Calculate the lowest common multiple of 1418 and w.
2836
Suppose -97*x - 23 = -123*x + 445. Suppose 0 = 3*z - 4*j + 18, 5*z - j - 5 = -35. Let a = 8 + z. What is the lowest common multiple of a and x?
18
Let l = -333 + 75. Let u = 291 + l. What is the lowest common multiple of 24 and u?
264
What is the common denominator of -59/2196 and -5 + 371/(-42) + (1 - -5 - 2)?
2196
Let h be (-26)/(-6)*1 + 60/(-180). Suppose -h*x + 4*f + 8 = -8, -4*f = 4. Let t = 35 - 17. Calculate the lowest common multiple of t and x.
18
Let q = 838232/63 - 80435/7. Let g = -1817 + q. What is the common denominator of (-66)/(-154) - (82/126 - 0) and g?
9
Let x(g) = 2*g**3 - 7*g**2 + 24*g + 22. Let i be x(17). Let h = 222362/27 - i. What is the common denominator of h and -41/45?
135
Let s = 1/7829343 - -477299917/237490071. Let p = 10/117 + s. What is the common denominator of p and -23/6?
42
Let s = -10438 - -162. Let d = -143953/14 - s. What is the common denominator of d and ((-28)/(-24))/((16/(-238))/(172/(-301)))?
84
Let w(d) = d - 2. Let c(l) = 4*l**2 + l. Let g be c(1). Suppose 0 = 2*z + 2*y - 28 - 0, -g*z + 3*y = -30. Calculate the least common multiple of z and w(8).
18
Let q be 9/(-21) - (-1536)/56. Let z = q + 2. Suppose -23 + z = s. What is the smallest common multiple of s and 3?
6
Suppose -h - 5*m + 39 = -9, -3*m = 0. Find the common denominator of 1 - (0 + 87/6) and 6*(183/h + -2).
8
Find the common denominator of ((-510)/165)/((-16)/(-24)) and ((-1)/2)/(4/73).
88
Suppose -2*y - 84 + 124 = 0. What is the lowest common multiple of 428/12 + y/(-30) and 35?
35
Let l(c) = -47*c**2 + 522*c + 8. What is the smallest common multiple of l(11) and 3934?
35406
Suppose 69*n = 74*n - 120. Calculate the common denominator of (395/264)/(-5) - 16/n and -39/64.
704
Calculate the common denominator of 9/(-3)*(-18)/(-17577)*-10 and -25.
651
Let u = -4675 - -6135. Calculate the smallest common multiple of u and 584.
2920
Let k(o) = -o**3 + 8*o**2 + 3*o + 12. Suppose -8 = -4*t + 3*t. Let m be k(t). Let v = 54 - m. What is the least common multiple of v and 18?
18
Let d = -357186785/1152 - -310058. Calculate the common denominator of d and 2/23.
26496
Suppose 3*y + 12 = 0, -3*x + 0*x + 2*y = 283. Let d = -51 - x. Suppose 31 + 2 = 2*o + 5*u, 0 = u - 1. Calculate the lowest common multiple of d and o.
322
Let d = 311 - 166. Suppose -d*y = -138