2378.
7134
Let z(x) = -x**2 + 6*x + 2. Let d be z(6). Calculate the common denominator of (-22)/(-935) - (-167859)/(-13770) and 1122/(-16)*d/(-45).
60
Let d(g) = -4*g**2 - 69*g + 286. What is the least common multiple of 72 and d(-20)?
792
Let k = -344 - -349. Let b(s) = 6*s**2 - 29*s - 2. Calculate the least common multiple of b(k) and 4*4*1 + -1.
15
Suppose -36 = -4*p + 2*p. Let i(b) = 2*b**2 - 23*b - 32. Let g be i(16). Let v = 132 - g. Calculate the lowest common multiple of p and v.
180
Let x = -17459/48 + 1091/3. Calculate the common denominator of -13/136 and x.
272
Suppose -370 = r + 301. Find the common denominator of 71/20 and r/(-88) + (0 - 1).
40
Suppose -130*c = 92*c - 44*c - 16020. Calculate the smallest common multiple of c and 612.
3060
Let d = -1162442569/1092 - -1064508. Calculate the common denominator of 113/24 and d.
2184
Let t = 447 - 457. What is the common denominator of -15/2 and (-516)/(-24)*t/(-25)?
10
Let b = 5675 - 5547. Calculate the lowest common multiple of b and 288.
1152
Let i(x) = -x**2 + 25*x - 111. Let s be i(17). Suppose s*g - 528 = 21*g. What is the lowest common multiple of g and 6?
132
Let c = -150249/10 + 15013. Let t be ((-25809)/(-105))/(186/5). Let a = t - 24/31. What is the common denominator of a and c?
30
Let b = 268793/3 + -88219. Let x = b - 2709/2. What is the common denominator of 20/(-210) - (-886)/(-252) and x?
18
Let q = 26525968626723/9763 + -2716989517. Let j = 3/751 - q. Find the common denominator of -74/9 and j.
117
Suppose 0 = 5*r - 74 + 59. Suppose r*x - 4*x - 2 = -2*v, -2*x = 5*v - 5. What is the lowest common multiple of 184/8 - 2*1 and v?
21
Suppose 225*h + 1106 = 230*h - 604. What is the smallest common multiple of h and 570?
1710
Let c(b) = 8*b**2 - 7. Let h be c(3). Suppose -5*x + 55 = -h. Let l(u) = 15*u**2 + 27*u + 27. Calculate the smallest common multiple of l(-1) and x.
120
Let v(h) = 131144*h + 6. Let r be v(6). Let l be (4/(-54))/(1560/r). Let z = -498/13 - l. Calculate the common denominator of z and -139/30.
90
Suppose 5*u = 4*h - 33, 13*u + 5*h = 15*u + 54. What is the smallest common multiple of u and -1 - -1 - (0 - 12)?
12
Suppose 6*y = 3*p + 2*y - 260881, 0 = 3*y + 3. Let g = p + -423289/5. Let h = -2294 + g. Find the common denominator of h and 79/18.
90
Suppose 0 = 284*l - 18860 - 52708. Calculate the least common multiple of 378 and l.
756
Suppose 0 = 25*s - 24*s - 26. Suppose -s = -7*q - 5. Calculate the lowest common multiple of q and 11.
33
Let z = 436009/48 + -9084. Find the common denominator of -57/470 and z.
11280
Calculate the common denominator of 91/3498 and (-420)/280*(-69)/324.
41976
Let l = 452903 + -16954423807/37435. Let v = l + 49301927/598960. Let m = -80 + v. Find the common denominator of 71/3 and m.
48
Let t(l) be the second derivative of -25*l**3/6 + l**2 - 2*l. Calculate the lowest common multiple of t(-2) and 470/188 - 105/(-30).
156
Let u = -1989863/120 + 16582. Find the common denominator of u and (-3)/24 - (-2)/(-3).
120
Let i = 362/663 - -4/221. Let k(f) = -311*f - 104. Let m be k(-4). What is the common denominator of (-202)/(-24) + (-95)/m and i?
39
Let d(q) = -38 - 5*q - 6*q + 33*q. Let s be d(16). Find the common denominator of 52/45 and (-2 + s/16)*2/18.
360
Calculate the common denominator of ((-2)/2 - 4843/(-1624)) + -3 and 37/488.
3416
Let s be -1 + 64215/(-705) + (1 - 0). Let p = s - -622433/6768. What is the common denominator of -41/9 and p?
144
Let p(x) = -x**3 + 18*x**2 + 2*x - 32. Let k be (2/4)/(15/540). Calculate the least common multiple of 16 and p(k).
16
Let k(t) = t**3 - 9*t**2 - 8*t - 27. Let w be k(12). Let v = w - 281. What is the lowest common multiple of 36 and v?
252
Let w = 18/269 - 7177/14795. Calculate the common denominator of w and 0/(-2) - 1078/280.
220
Let a(t) = 3*t - 4. Let r(d) = 24*d - 33. Let c(n) = -33*a(n) + 4*r(n). Let w be c(2). Calculate the common denominator of (302/w)/((-7 + 4)*-2) and -75/8.
72
Let h = 11 + -2. Suppose j + 7 = h. What is the smallest common multiple of 8 and -1*((-170)/20 + j/4)?
8
Let l(r) = 3*r - 3. Let g be l(3). What is the lowest common multiple of ((-36)/60*-2)/(g/350) and 30?
210
Suppose 4*a + 6 = -2*g, -2*a - 3 = -5*g - 30. Let s = -208053/70832 + -1/4427. Find the common denominator of 3/12*-98 + (-5 - g) and s.
16
Suppose -2*v - 4*z = 2416 - 192, -4*v + z - 4457 = 0. Let f = v + 609. Calculate the common denominator of (f/(-240))/((-21)/(-9) + -2) and 45/34.
272
Let w(r) = -69*r**2 + r + 2. Let c be w(4). Let f = c + 5537/5. Calculate the common denominator of -37/12 and f.
60
What is the lowest common multiple of 2 + (-26)/12 - (-1 + (-385)/42) and 1915?
3830
Calculate the common denominator of 51/80 and 3/14 - (68508/3360 - 18).
80
Calculate the common denominator of 71/494 and (-4 + 1367/342)*(-17 + -20).
4446
Suppose -r = -30*r + 464. Suppose -r*q + 745 = 73. What is the least common multiple of 12 and q?
84
Calculate the smallest common multiple of 5/((-16)/(-1536)*30) and 4740.
18960
Calculate the common denominator of 47/2 and 27999/141345 + 6/(-30).
2094
Calculate the common denominator of 30/(-24) + 0 + 83/50 and 61/280.
1400
Suppose 13 = 5*y - 347. Let g be ((-124)/6)/(189/567). Let c = g + y. Calculate the lowest common multiple of 7 and c.
70
Suppose -9*k - k = -430. Suppose z = -39 + k. What is the smallest common multiple of z and 5?
20
Suppose -37*a - 105 = -38*a + 5*u, 5*a - 2*u - 594 = 0. Calculate the common denominator of 103/10 and 7830/a*2/(-381).
1270
Let a be (-2 - (-16)/6)/(6/27). What is the common denominator of 93/10 and (102/10)/a - (-1)/(-5)?
10
What is the common denominator of -7 + ((-14)/(-98)*14 - (-312)/50) and -42/145?
725
Let d(c) = -33*c**2 + c + 46. Let j be d(-25). Let v = 370769/18 + j. Calculate the common denominator of v and (-235)/12 + (-3)/12.
18
Let m be 7/1*22/(-77). Calculate the lowest common multiple of 3 and 36/(-14)*(12/m - 1).
18
Let w(h) = 3*h**2 + 16*h + 9. Let i = -21 - -19. Let z be ((i + -1)/3)/(1/6). Calculate the smallest common multiple of w(z) and 3.
21
Suppose 1945 = 5*b + 8*g - 3*g, -5 = -g. Suppose 0 = -5*m - 0*m - 15, 4*j + 4*m = b. Calculate the least common multiple of j and 45.
495
Find the common denominator of 91/30 and -21 + (17 - 6) + (-5980)/(-606).
3030
Let t be (858/(-108) + 6)*145994/(-14). Let b = 20272 - t. Calculate the common denominator of b and (3 - 476/132) + 0.
198
Let j = 283 + -233. What is the common denominator of 315/54 - (j/(-18) - -3) and 17/16?
144
What is the smallest common multiple of 69 and (1 - 70/(-42))/((-4)/(-738))?
11316
Suppose j = p + 4*p - 220, 5*j = -p + 70. Suppose -4*s - 36*h = -39*h - 11, 10*s + 5*h - 65 = 0. What is the lowest common multiple of s and p?
45
Calculate the least common multiple of -20 - 13/((-351)/9720) and 100.
1700
Find the common denominator of -61/768 and 180/432*(-40)/15.
2304
Suppose 739*w - 778*w = -2964. Let t be (2 - 0) + -30 + -2. Calculate the common denominator of -10/7 and (w/t)/(16/(-36)).
70
Suppose 3*o = -x + 64, 3*o = -2*x + 255 - 187. Calculate the least common multiple of o and 728.
3640
Let p = 9696/29 - 3061181/9164. Find the common denominator of -71/16 and p.
1264
Calculate the common denominator of 130909/15260 + 8*-1 and 67/168.
840
Let g(u) = -4*u + 13. Let r be g(-8). Suppose 3*k - 3 = -5*t, -5*k + t + r = -4*t. What is the least common multiple of k and 8?
24
Find the common denominator of ((-126)/(-12))/(-1 - (-188)/68) and 49/60.
60
Let h(k) = -1899*k + 13305. Calculate the lowest common multiple of 64 and h(7).
192
Calculate the common denominator of 29/550 and (4 - 5357/(-2750)) + -13 + 7.
2750
Suppose -47*m + 243 = -20*m. Let a(c) = c**3 + 6*c**2 - 9*c + 1. Calculate the least common multiple of m and a(-7).
45
Let t be (41730/24 - 2)/(66/(-296)). Let s = 7788 + t. Find the common denominator of s and 59/27.
297
Let y = 773 + -776. What is the common denominator of 23/258 and (3328/234)/((-14)/y)?
1806
Calculate the least common multiple of 30 and (-59 - -170)*(17 - -1).
9990
Suppose 0 = -79*x - 859 + 2755. Calculate the lowest common multiple of x and 18.
72
Let k = 344381/4731564 - 7/160392. Find the common denominator of -101/108 and k.
12744
Let q be ((-8)/210125124*9)/((-4)/(-3277258)). Let i = q 