 the common denominator of (-139)/(-4) - 2/8 and 2/m - 64/(-9).
18
Let b = -266 - -276. Let j(a) = -a**3 + 7*a**2 - 2*a. Calculate the least common multiple of b and j(6).
120
Let h = 61075103/252 - 242362. Calculate the common denominator of 67/8 and h.
504
Let w(c) = 2*c**2 + c + 2. Suppose 3*g + 2*d = -6, -4*g + 4*d - 8 = -0*d. Let m be w(g). Calculate the common denominator of m/12 + (-134)/12 and 30/7.
14
Suppose 4*x - 28*v - 1212 = -32*v, 297 = x - v. Calculate the least common multiple of x and 550.
3300
Let b = -252 + 253. Calculate the smallest common multiple of 12 and b.
12
Find the common denominator of (-1)/(-10)*(-1016)/(-224) and 81/100.
1400
Let f(d) = d**3 + 4*d**2 + 3*d + 4. Let t be f(-3). What is the common denominator of -15/4 and 5/((-825)/6)*(-85)/t?
44
Let a = -141 - -38. Let d = a - -109. Calculate the smallest common multiple of 10 and d.
30
Suppose -w = 4*t + 3*w + 4, -2*t = -2*w - 14. Suppose 5*c = -2*a + 31 - 12, -1 = -5*a + t*c. Calculate the least common multiple of 9 and a.
18
Suppose 7*m - 6*m = 33. Let y be (-3 - (-941)/m)*12. Let j = y + -307. Calculate the common denominator of 68/9 and j.
99
Let v = 126079/492 + -2638/41. Let o = v - 369/2. What is the common denominator of 67/2 and o?
12
Let o be (1 - -9)/(2 - (-3 + 3)). Suppose a + 5 = -3*d, o*a = -4*d + d + 23. Calculate the lowest common multiple of 4 and a.
28
Suppose -2*l = -3*t + l + 51, -4*l - 86 = -5*t. Suppose 0 = -2*a, 6*n - 3*n = 2*a + 42. Calculate the lowest common multiple of t and n.
126
Suppose 322 = 4*z + 10*z. Find the common denominator of 69/140 and z/(-92) - 20/(-6).
420
Let g = -2/913 - -14758/68475. What is the common denominator of 29/215 and g?
3225
Let j = -144/65 - 31/13. Calculate the common denominator of -8*5/(15/(-8)) and j.
15
Let v = 14081393/6 - 2341858. Let z = v + -5056. What is the common denominator of (-21 - 0)*28/378 and z?
18
Let l = -38 + 124/3. Calculate the common denominator of 4/528*303/(-3) and l.
132
Let j = -4/1721 + -197891/10326. Let p = -35 - -23. Find the common denominator of j and (-219)/p + (-2)/(-4).
12
Suppose -2*a + 6 + 79 = x, 4*a = 3*x + 165. What is the lowest common multiple of 18 and a?
126
Calculate the common denominator of 35/9 and (-110)/(-165)*(-102)/8.
18
Let q(d) be the third derivative of d**6/120 + d**5/5 - 7*d**4/12 - d**3/3 - 3*d**2. Calculate the least common multiple of 5 and q(-13).
55
Let y(w) = -w**3 - 11*w**2 - 22*w - 16. What is the lowest common multiple of 104 and y(-9)?
520
Suppose -u + 4*u + 2*b + 9 = 0, -5*b = 0. What is the common denominator of 1/u*462/12 and 19/18?
18
Let i = -149113 + 3133867/21. Let y = i - 322/3. Let k = y - 995/84. Find the common denominator of 51/22 and k.
132
What is the lowest common multiple of 36/(-120)*-134 - 1/5 and 64?
320
Suppose 56*k - 72*k = -27312. Calculate the least common multiple of 2 and k.
3414
Let i(g) = g + 15. Let l be i(4). Suppose 7*t = l + 2. What is the least common multiple of t and 9?
9
Let r = 774 - 5431/7. Suppose t + 144 = -3*c - 0*t, -4*c = -t + 199. Calculate the common denominator of r and c.
7
Let f = 23343/8 + -2925. What is the common denominator of f and -83/96?
96
What is the common denominator of (-7618)/3380 + 6/39 and 42/37?
370
Let w = -2091 + 4097/2. Calculate the common denominator of w and -106/105.
210
Let j = -299 + 4487/15. Let z = -1/30 - j. Calculate the common denominator of z and -22/9.
18
Let n = 253/105 + -199/15. Let y = n + 657/56. Find the common denominator of y and 53/18.
72
Calculate the least common multiple of (-12)/(-5) + (-10)/25 and (-440)/(-154)*((-6)/(-4) + 2).
10
Let h = 1 + 1. Suppose -4*l = -0*r + r - 43, 3*r = -h*l + 79. Suppose 4*v - 33 = r. Calculate the least common multiple of v and 8.
56
Suppose -32526 = 3*f - 3*i - 2*i, 3*f + i + 32508 = 0. Let c = f - -238525/22. Calculate the common denominator of c and -41/10.
110
Suppose -70 = 5*p - 7*p. Suppose -3 = 2*d - p. Suppose d + 1 = k. Calculate the lowest common multiple of k and 10.
170
Let m(a) = 4*a + 23. Calculate the least common multiple of m(-3) and 42.
462
Let h(y) = 4*y - 1. Suppose 23*g = 27*g + 20, -2*g - 15 = -5*p. Calculate the lowest common multiple of h(3) and p.
11
Let j = -989 + 4021/4. Let m = -594354/331 - -420706241/236334. Let f = -1/357 + m. What is the common denominator of j and f?
4
Let f be (17715/(-36))/(4/(-5 + 13)). Let g = 978 + f. Calculate the common denominator of -67/8 and g.
24
Suppose 3*a + 469888 = 3408262. Let z = -10748136/11 + a. Let n = z + -2359. What is the common denominator of n and 14/11?
11
Let s be 4*4/(-6)*33/88. Let p(i) = -27*i**3 + i**2 - 1. What is the least common multiple of 9 and p(s)?
27
Let i be 1050/44*(-5)/(25/(-32)). Let a = i - 9013/66. Calculate the common denominator of 55/7 and a.
42
Let t be 11/(-22)*(-26)/12. Let o = t - 11/4. Find the common denominator of o and -1/6.
6
Suppose 0 = 5*z + 25, -3*l + 7*z - 112 = 3*z. What is the common denominator of l/24*15/6 and 4 + (0 + (-45)/(-24))*-6?
12
Suppose 0 = -5*h - 2*g + 35, 4*g - g - 15 = 0. Let r = 15 - h. Let s = -25651/10 + 2569. Calculate the common denominator of r and s.
10
Let z = 4 + 36. Calculate the smallest common multiple of 10/z + 14/8 - -4 and 7.
42
Let o = 572 - 2315/4. Let d = 13/8 + o. Calculate the common denominator of 21/94 and d.
376
Let s = -1765/53 + 2751264/82627. Let g = -36193/74832 - s. What is the common denominator of g and -51/10?
240
Suppose 11*u - 128 = 7*u. Let l = -24 + u. What is the smallest common multiple of 32 and l?
32
Let m = 43/18 - 455/36. Let b = 853549/116140 + 4/5807. Let y = m + b. What is the common denominator of y and 107/10?
10
Suppose 5*p - 15 = 5. Let v = -1493 - -1576. What is the lowest common multiple of p and v?
332
Let d(b) = -b**2 - 4*b - 3. Let j be d(-2). Let t(m) = 2217*m**3 + 2*m**2 - 1. Let v be t(j). Let u = 4341/2 - v. Find the common denominator of -113/14 and u.
14
Let f be ((-51)/(-21) - (-9)/(-21)) + -2. Suppose 0 = -4*r - s + 23, 2*r + 6 = -f*s - 4*s. What is the smallest common multiple of r and 19?
133
Find the common denominator of -15/586 and (8/(-84))/((-68)/459).
4102
Let a = 13 - 13. Suppose o - 2*s + 4*s - 2 = a, 5*o - 66 = 4*s. Suppose -u + 28 = o. What is the smallest common multiple of 4 and u?
36
Let u = 3/74 - 1415/222. Calculate the common denominator of 34/24 + (-4)/(-6) and u.
12
Let w(m) = -m - 19. Let d be w(-12). Calculate the common denominator of (-130)/d*(4 - (-90)/(-25)) and 59/5.
35
Suppose 8*m - 7*m = 13. Calculate the common denominator of 2/9 - m/2 and -41/4.
36
Let x(q) = 27*q**2. Let l(p) = p**3 + p**2 + 3. Let s be l(-2). Calculate the smallest common multiple of x(s) and 24.
216
Suppose -c - 3*r - 11 = 0, 3*c = 5*r + 4 - 23. Let u(w) = -w**2 - 12*w - 20. What is the smallest common multiple of 12 and u(c)?
12
Suppose -2*i = 2*b - 16, -b + 28 = 5*i + b. Find the common denominator of 77*5/(-15)*i/16 and 103/6.
12
Suppose 2*m - 3*p = m, -p - 56 = -5*m. Suppose 154 = v - 3*c, -2*c + 179 = -v + 2*v. Calculate the common denominator of 12/7 and v/(-28) + m/(-48).
7
Let a = 3715894 + 43553808. Let b = a + -52469377733/1110. Let z = b - -1/370. What is the common denominator of z and -5/7?
21
Suppose -1316 = -117*l + 2194. Calculate the least common multiple of l and 1/(-1) + (-1 - -22).
60
Let d(t) = t**2 - 11*t - 6. What is the lowest common multiple of 4 and d(13)?
20
Let t be 10/95 + (-629)/19. Find the common denominator of (-3 - -3) + (-45)/t and -13/5.
55
Let t(v) = -v**3 - 2*v**2 + v. Let f be t(1). Find the common denominator of f/8 - 616/288 and -19/3.
18
Let o(b) = 7*b - 36. Let z be o(0). Let x = 56 + z. Calculate the least common multiple of x and 18.
180
Suppose -2*b + 5*a - 16 = 0, 3*b - a + 3*a = 14. Let f(z) = 2*z**3 + 4*z**2 - 12*z - 11. Calculate the lowest common multiple of b and f(-3).
14
Let f = -761251/80 - -47584/5. What is the common denominator of f and -13/40?
80
Let i(f) be the second derivative of f**5/20 + 17*f**4/12 - 13*f**3/2 + 17*f**2/2 - 14*f + 3. What is the smallest common multiple of 14 and i(-19)?
252
Let u = -5261/4290 + 55/78. Calculate the common denominator of u and 59/15.
165
Let l be (-12)/(-2)*(207/(-27) + 7). What is the common denominator of -9/2 and (-213)/(-2)*l/2