3461064/305 - 175282. Let g = -34433/6710 + o. Calculate the common denominator of g and (-2 + 58/8)/(4/(-24)).
22
Suppose 15*i - 117*i + 255 + 357 = 0. Suppose -6*p + 4*p = -8. Let n(q) = 3*q - 6. Calculate the lowest common multiple of n(p) and i.
6
Let d be ((-2)/(-6))/((-9)/(-54)) - -6. Suppose -d - 4 = 6*u. Calculate the common denominator of 65/3 and u*(-3)/45*51.
15
Suppose -384 = 4*h + 4*c, 0 = -3*h + c + 3*c - 253. Calculate the common denominator of -31/194 and h/2 + (-4)/(6/(-3)).
194
Let z(y) = -3*y - 4. Let b be z(4). What is the common denominator of -3 - 76/b - -4 and -97/16?
16
Let n(w) = -w**3 + 21*w**2 + 23*w + 18. Let a be n(22). What is the common denominator of 73/24 and (-52)/30*a/(-44)?
264
Suppose -342 - 36 = -3*g. Let s(b) = b**2 + 18*b - 46. What is the smallest common multiple of s(4) and g?
126
Let c = 27 + -87. What is the common denominator of (524/c)/(36/(-15)) and 2 + (-3)/((-12)/26)?
36
Let l = 338 + -147. Let p = 123 - l. Calculate the common denominator of p/3 + 12/72 and -73/12.
12
Let y(s) = -2*s**2 + 5*s + 15. What is the lowest common multiple of y(4) and 9/21*10/(120/2604)?
93
Suppose -6*r + 2*r + 964 = 0. Suppose r = 10*w + 21. Calculate the smallest common multiple of 144 and w.
1584
Let r(i) = i - 4. Let u(b) = 4*b - 166. Let j(m) = 2*r(m) + u(m). What is the common denominator of -89/6 and j(29)?
6
Let z = -120193/180115 + 16/2771. What is the common denominator of 73/140 and z?
1820
Suppose 3*j = 3*p + 15, 0 = -p - 0*j - 3*j - 5. Find the common denominator of 101/48 and (-2)/p + 1878/(-720).
48
Suppose 152*b - 104 = 178*b. Let h = -25921/63648 - -2/1989. What is the common denominator of h and (-2)/b + 1 + (-10 - -6)?
32
Let w be 2/4*0/15. Suppose 0 = -w*f + 6*f - 50082. Let a = f + -225430/27. What is the common denominator of 97/6 and a?
54
Let f = -39025 + 44878747/1150. Find the common denominator of 3/2 and f.
1150
Suppose -6*f + 60 = 44 - 104. Calculate the least common multiple of 8630 and f.
17260
Let d(i) = -2*i**2 + 38*i - 29. Let a be ((-9)/(-2))/((-6)/(-8)). Let l = 22 - a. What is the smallest common multiple of d(18) and l?
112
Calculate the common denominator of -35/18 and 2170/(-144) - (220/(-11) - -7).
72
Let p = -21761/663 + 568/17. Find the common denominator of ((-21)/36)/((-27)/(-360)) and p.
117
Let n(v) = v**3 - 8*v**2 - 13*v - 37. Let s be n(11). What is the common denominator of s/50 + (-355)/71 and -113/20?
100
Let s be (-8)/(-6) + -10*(-2)/30. Suppose j = 4*g - 8, 2*g + s*j - 2 = 2. What is the least common multiple of ((-9)/27)/(g/(-108)) and 2?
18
Let b = 3681971/4004 - 10116/11. What is the common denominator of b and 95/1664?
11648
Suppose 21 = 3*a - 3*i, 6*i + 32 = 4*a + i. Suppose a*z + 15 = j - 4, 2*z - 6 = -4*j. Calculate the least common multiple of 40 and j.
40
Let r(o) = 2*o**2 - 368*o + 7815. What is the lowest common multiple of r(22) and 2061?
2061
Let a = 3559679/81 + -43947. Let o = -87 - -263/3. Calculate the common denominator of o and a.
81
Let i = -15196 + 16288. Calculate the least common multiple of 6 and i.
1092
Let s = -17796371161/76 + 234167263. Let y = s + -4484. Find the common denominator of 59/8 and y.
152
Find the common denominator of (-41)/82 + 5/162 and 131/96.
2592
Let d = -31 + 21. Let g be (12/d)/((-21)/105). Calculate the smallest common multiple of (9/g)/(3/(-8)*-1) and 12.
12
Let h = -3/1835 - -17267/11010. Calculate the common denominator of (-568)/36*2/(-4) and h.
90
Let k be -7 + (-372)/(-52) - (-918396)/13. Let f = -4945331/70 + k. What is the common denominator of f and -80/63?
630
Suppose 638*m - 671*m + 6930 = 0. Calculate the lowest common multiple of 120 and m.
840
Suppose 20152 = -87*t + 316*t. What is the least common multiple of 728 and t?
8008
What is the smallest common multiple of (25/(200/948))/(6/136) and 316?
5372
Let s = 5839 + -5709. Calculate the smallest common multiple of 143 and s.
1430
Let x(w) = w**3 - w**2 - w + 66. What is the smallest common multiple of x(0) and (-28)/56 + ((-110)/(-4) - 0)?
594
Suppose -l - 51 = -2*c + 22, c - 3*l - 39 = 0. What is the lowest common multiple of 528 and c?
1584
Let c(m) = -9*m**2 - 11*m + 6. Let n(x) = -7 - 29*x + 7*x**2 + x**2 + 39*x. Let w(d) = 5*c(d) + 6*n(d). Calculate the lowest common multiple of w(-5) and 8.
152
Suppose -43*y = -37*y - 36. Calculate the common denominator of 6 - -374*y/(-216) and -27/62.
558
Suppose 0 = 4*h - 3*k - 14, -13 = -3*h + k. Find the common denominator of 1930/336 + (-4)/14 and (5 + 1)*h/((-45)/16).
24
Suppose -5*k + 168 = 4*i - k, -5*i + 210 = 4*k. Find the common denominator of 61/55 and (-18)/i + 59/(-35) + 1.
385
Let n = -52343/8 - -6545. What is the common denominator of 33/1018 and n?
4072
Let q(s) = 16*s + 212. Suppose 3*n = 4*v - 97 - 68, 3*n = -5*v + 240. What is the smallest common multiple of v and q(-12)?
180
Calculate the common denominator of 11/(176/16)*1/(283/(-21)) and -127/6.
1698
Let a = 39017155/456 - 85564. Calculate the common denominator of a and 15/152.
456
Let r(x) = -20*x + 5. Let s be r(-13). Suppose -s*l + 270*l = 160. What is the lowest common multiple of 36 and l?
288
Calculate the common denominator of -48/5 and (8726/970 + -9)/(22/(-693)).
485
Suppose -6*d = -5374 - 32. Let c = -1739/2 + d. What is the common denominator of c and 41/16?
16
Let c(z) be the first derivative of 243*z**2 - 2*z + 25. Let t be c(1). Let f = 1923/4 - t. What is the common denominator of f and 41/14?
28
Suppose 19*g + 5524 - 128 = 0. Let a = 319 + g. Calculate the least common multiple of a and 15.
105
Let f = 2/1537 - -124481/12296. Let m be ((-142167)/(-2))/(12 - 36). Let r = m - -2963. What is the common denominator of r and f?
16
Let i be (1 - (36/6 + -6)) + 8. Calculate the lowest common multiple of 165 and -3 - ((-594)/i - 3).
330
Let d(l) = -855*l - 13. Let y be d(-2). Let a = y - 20459/12. Find the common denominator of a and -89/36.
36
Let d = -6955 - -7495. Calculate the lowest common multiple of d and 132.
5940
Let f = -22873/2 - -11069. Let m = f - -380. Find the common denominator of 53/21 and m.
42
Suppose -237*t = 186*t - 23265. Let f = -66 + 96. What is the smallest common multiple of f and t?
330
Suppose 0 = 2*n - 2*o - 3936, -1185*o = -2*n - 1189*o + 3906. What is the least common multiple of 39 and n?
5889
Let m(g) = -31*g - 1818. What is the smallest common multiple of 133 and m(-60)?
798
Let p = -4276 + 4960. What is the least common multiple of p and 1026?
2052
Suppose -156*u - 4197 + 75333 = 0. What is the least common multiple of u and 15?
2280
Let p(f) = -481*f + 436. Let b be p(6). Let j = b + 14651/6. Find the common denominator of (-185)/(-124) + (-1)/4 and j.
186
Let m(r) = -12*r. Let a(h) = -11*h - 1. Let q(f) = -6*a(f) + 5*m(f). Let o be q(9). Suppose 3*s = 21 + o. What is the lowest common multiple of 3 and s?
27
Suppose 24*r - 26*r + 3*n - 13 = 0, 5*r = n. What is the smallest common multiple of r and 239?
239
Suppose 2*w - 26 = -3*h, -w + 2*w = 3*h - 14. Suppose 4*j - 42 = 2*m, m = -j - 0*m + h. Let i = 844 - 839. Calculate the smallest common multiple of j and i.
45
Let k = -1654244207245873/47402382800 + -2/2962648925. Let s = k - -34897. What is the common denominator of 91/48 and s?
240
Let q = -13616/9 + 1511. What is the common denominator of q and -81/2?
18
Suppose -4*o = 1946 + 122878. Let f = -1185749/38 - o. Find the common denominator of f and 15.
38
What is the common denominator of 5/42496 and 4/(-144)*-831 + 12/18 + -9?
42496
Find the common denominator of 1044/8*((-2)/(-84))/((-21)/42) and 103/16724.
117068
Suppose 0 = 5*c + 20, -5*c - 33 = -5*d - 248. Let i = d - -42. What is the smallest common multiple of 20 and (i + 8)*-4*(-2)/4?
60
Let f = -1185/2 - -615. What is the common denominator of (-11958)/1032 + 3 - (-19 - -11) and f?
172
What is the least common multiple of 2025 and (1/2)/((-19)/(-760)*10) + 943?
14175
Find the common denominator of 87/64 and -5 - 22366/(-4928) - (-2)/(-66)*-3.
448
Suppose -2*z = 3*z - 55. Suppose -v - 96 = z*v. What is the common denominator of 14/v*65/(-20) and -101/14?
112
Let o = -920799 - -1699794867/1846. What is the common denominator of o and 67/710?
9230
Suppose 439 = -4*y + 5*b + 1141, 3*y - 544 = -5*b. What is the lowest common multipl