 d be ((-3)/(-2))/((-2)/(-12)*3). Suppose 4*t - 170 = d*o, 20 = o - t + 75. What is the common denominator of -59/20 and (76/o)/(9/((-180)/(-16)))?
20
Suppose -138*m = -26*m - 3360. Calculate the smallest common multiple of ((-20)/9 - -2) + (-110)/(-9) and m.
60
Suppose 2*t - 1265 + 9385 = 60*t. What is the lowest common multiple of 210 and t?
420
Let j = -1439834 + 1192182397/828. What is the common denominator of 7/36 and j?
828
Let u = 31 + -29. Suppose -7*d = 5*c - 5*d - 6934, -4*d - 2764 = -u*c. Let h = 77605/56 - c. What is the common denominator of h and 33/16?
112
Let i(b) = 8*b. Let x(f) = f - 3. Let q be x(4). Calculate the lowest common multiple of i(q) and 3/((-1575)/(-130) + (-6 - 6)).
104
Let j be (-240)/(-56)*14*4. What is the common denominator of 1 + -2 + (-375)/j and -17/144?
144
Let i = 17948/281 - 53639511/840190. What is the common denominator of -8/115 and i?
2990
Let p(t) = -14*t - 18. Let f be p(-8). Suppose -2*y = 2*a - f, -3*a + 115 = -a - 5*y. Calculate the least common multiple of 60 and a.
300
Calculate the lowest common multiple of 108 and 558/24 - (-69)/92.
216
Let x = -10326/77 - -20190487/150535. Calculate the common denominator of 83/255 and x.
5865
Let b(g) = -46*g - 21. Let y be b(-3). Suppose -2*n + y = 33. What is the least common multiple of 9 and n?
126
Suppose 6*l = 32*l + 19*l - 1485. Calculate the lowest common multiple of 90 and l.
990
Let v = 1/50205 - -29068589/5321730. Let j be (-1)/(-3)*666/(-5883). Let b = v - j. What is the common denominator of b and 37/2?
2
Let y(o) = -o**3 - 4*o**2 + o - 8. Suppose -3*c = -b + 21, -5*b - 7 = c + 16. What is the smallest common multiple of y(-5) and c/44 - (-200)/11?
36
Let h be -2 + (-4)/(2400/(-1172)). Let c = h + 761/75. Find the common denominator of 23/25 and c.
50
Suppose 0 = 3*r + i - 3319, -i + 3*i = 3*r - 3325. What is the least common multiple of r and 7?
7749
Let u(m) = -m**3 + 18*m**2 - 14*m - 57. Let g be u(17). Calculate the common denominator of ((-5 + 2)/g)/((-242)/1562) and -28.
22
Let h(s) = 2*s + 46. Let i be h(-16). Calculate the common denominator of 13/14 and (20/592)/(4 + i/(-4)).
518
Let c = -20530/11 + 1868. Let a = 123 - 213. Let x = -811/8 - a. What is the common denominator of x and c?
88
Let b(f) = -f**3 - 69*f**2 - 76*f - 491. What is the least common multiple of 48 and b(-68)?
2544
Let x = 6505/1488 + -162/31. What is the common denominator of (-28)/(336/15) - 4/(-448)*157 and x?
336
Suppose 3*z + 2*z - 56 = -i, 0 = -3*z + 3*i + 30. Let w(o) = o**3 - 5*o**2 + 2. Let u be w(5). Calculate the smallest common multiple of z and u/12 + 130/12.
11
Let r = -73 - -78. Suppose 0 = 4*j - 4*g, j - 4*j = -4*g + r. What is the lowest common multiple of 20 and j?
20
Let m(s) = s**3 + 50*s**2 + 43*s - 277. What is the least common multiple of m(-49) and 11?
187
Let d be 1/30*5 + (-33)/(-18). Suppose d*u - k = 52, -11*u + 4*k = -8*u - 83. What is the smallest common multiple of u and 55?
275
Let k = -805/1716 - 19/156. Let x(s) = -1770*s - 9. Let u be x(-7). Let h = 1064671/86 - u. Calculate the common denominator of k and h.
946
Let d be 2/9 - (1 + (-5442)/1269). Let t = d - 73567/21009. Let s = t + 5485/3129. Calculate the common denominator of 8/21 and s.
21
Let f = 954148/57 + -16739. Suppose -2*g = -9*c + 8*c + 9, c = -g - 6. Find the common denominator of f and (-270)/(-4)*(-7 - 32/g).
114
Let f = 18/157 + -11836/105975. Find the common denominator of -70/9 and f.
675
Let f = -183 + 205. What is the least common multiple of -55*(-7)/((-210)/(-12)) and f?
22
Let q = 2125/98555799612 - -171294856835231723/1561797330484762. Let n = q - -22/40749. Let p = 427/4 - n. What is the common denominator of 149/72 and p?
504
Calculate the least common multiple of (270/(-8))/(24 + 32328/(-1344)) and 770.
6930
Suppose -344 = 3*z - 353. What is the least common multiple of 892 and z?
2676
Let k(h) = 140*h - 69*h - 70*h + 17. What is the least common multiple of k(7) and 84?
168
Suppose 0 = 4*y - 14 + 2. Let h(n) = 3*n**2 + n + 162. Let c be h(0). Suppose -2*x - 4*x = -c. What is the least common multiple of x and y?
27
Let f(c) = 9*c**2 - 12*c - 14. Let b be f(-7). Let g = b + -4525/9. What is the common denominator of 38/13 and g?
117
Let z(d) = 12*d - 45. Let a(m) = 61*m - 223. Let y(j) = -2*a(j) + 11*z(j). What is the least common multiple of y(6) and 57?
627
Suppose 7*s = 5*s + 2. Let t be (-7 - -5)*s/(-2). Suppose -t = 2*d - 5. What is the smallest common multiple of d and 18?
18
Let g be -10*(-4 + 5036/10). Let v be (g/(-8))/((-52)/(-30) + -1). Let k = v - 853. Calculate the common denominator of 99/74 and k.
814
Let q be 1 - -3 - (7 + (-152872)/84). Let x = q - 1818. Let z = 30293/465 - 1848/31. Find the common denominator of x and z.
105
Let a be (6/(-9) + (-8)/(-12))/(-1). Suppose 4*f = -u - f - 4, -5*u - 4*f - 62 = a. Calculate the least common multiple of u/(-63) + (-264)/(-27) and 12.
60
Let c = 4419/11 + -17335/44. Let n = -31012 - -6202369/200. Find the common denominator of c and n.
200
Let q = 29/148 - -713/185. Let i be (6/8)/(0 - (-15)/40). Find the common denominator of 97*-2*i/(-32)*1 and q.
40
Suppose -3514 = -4*j - 370. Let g = j + -1537/2. Let k = -9457/7180 - -2214/359. Calculate the common denominator of k and g.
20
Let o(m) = 1506379*m + 20. Let l be o(-14). Let d be (2/295992)/(3 - (-63267870)/l). Let t = -1/12333 + d. What is the common denominator of t and -31/32?
32
Suppose 140*o - 287381 = 101962 - 106263. What is the lowest common multiple of o and 2022?
2022
Let y be (18/27)/(2/6). Let k be (-2)/(-4) - (-3)/y. Calculate the least common multiple of 4 and (-1 - (1 - 4))/k.
4
Let z be (-4)/16 - 39/4. Let o be (8/z)/(12/(-30)). Suppose o*a + c - 4 = 4, 3*a = -3*c + 6. Calculate the least common multiple of a and 60.
60
Suppose -40*f - 34 = -154. Calculate the lowest common multiple of f and 11.
33
Let g = -514399 + 180039781/350. What is the common denominator of 3/64 and g?
11200
Let w(a) = a**3 + 6*a**2 + 15*a + 95. Calculate the smallest common multiple of w(-6) and 815.
815
Suppose 5*z + 93 = 2*h - 5, 4*z + 77 = 3*h. What is the least common multiple of 42 and ((-196)/(-35))/(-7)*z?
336
Let c = 146 + -97. Suppose 4*b = 2*a - 148, -a + 0*b = 3*b - c. Calculate the lowest common multiple of a and 72.
576
Suppose d = -4*h + 56490, -16*h - 5*d = -19*h + 42402. Calculate the lowest common multiple of h and 30.
70620
Suppose -2*b + 3 + 135 = j, 3*j = -4*b + 420. What is the smallest common multiple of j and (8 - ((-6)/20 + (-13335)/(-2450)))*28?
720
Let k(a) = 10*a - 5. Let j be k(2). Find the common denominator of (-88)/(-42) + (-1)/(-1) and (-10)/j*(24/(-16) + -1).
21
Let v(z) = 47*z + 363. Calculate the least common multiple of 216 and v(-6).
648
Let x be 53 + 0 - (0 - 1). Suppose -3*d - 836 = -22*d. Let r = x - d. Calculate the lowest common multiple of 8 and r.
40
Suppose x = 19*w - 17*w - 555, -2*x - 1390 = -5*w. Calculate the smallest common multiple of w and 420.
840
Let d = -1479 + 14733/10. Calculate the common denominator of -115/336 and d.
1680
What is the common denominator of 51/1612 and 3 - ((-36)/(-130))/(664/6889)?
8060
Let s = 1975/7 + -853/3. Suppose 6*q - q = -g + 23586, -3*q = 2*g - 47137. Let u = g - 565579/24. Find the common denominator of u and s.
168
Let l = -674369/329670 + 2/14985. Calculate the common denominator of 559/(-144) + (-1 - ((10 - 9) + -5)) and l.
1584
Let z(x) be the first derivative of 8*x**2 - 1. Let b = -185 + 186. What is the smallest common multiple of 7 and z(b)?
112
Let x(y) = -1408*y + 7072. What is the smallest common multiple of 560 and x(5)?
1120
Let b be (-1 - 1) + (-9)/(-1). Find the common denominator of (6/b)/(208/(-2093)) and 3 - (-4 + 2 + (-47)/12).
24
What is the common denominator of (-413)/(-385) + (-16)/(-80) and 52/5729?
63019
Suppose l - 4 = 0, -3*f = 2*f - 4*l + 31. Calculate the lowest common multiple of (-1*1/2)/((-4)/88) and 1/f*1 + (-25)/(-3).
88
Let h = 1924/153 - -1065794/1071. Let b = -508819/504 + h. What is the common denominator of -109/56 and b?
504
Let o(s) = -106*s + 1952. What is the smallest common multiple of 1760 and o(-48)?
7040
Suppose 5*q + 20 = 0, 2*p + 2*q - 84 = -3*q. Let z(d) = d + 29. Let x be z(10). Let s = p - x. Calculate the low