4). Suppose x + 3*x - z = 22, 0 = -5*x - 4*z + k. Let w = x + 12. Calculate the least common multiple of 36 and w.
36
Let u = -8/165 - 3221/495. Let c = -12848 + 2107131/164. Find the common denominator of c and u.
1476
Suppose 0*i - 4*i + 3*j + 36 = 0, -4*i + 5*j = -36. Let t(v) = -v + 1 + 5 + v**2 - 6*v + 9*v**2 - v**3. Calculate the least common multiple of t(i) and 2.
24
Let c = 39476/217107 + -64/731. Let n = 2377/20 - 509/4. Calculate the common denominator of c and n.
1485
Let c = -33629/9251 + -1/841. Suppose m = 5*a + 54 - 15, a = -5*m + 65. Calculate the common denominator of (-1068)/(-378) - (-4)/m and c.
99
Let g be (2 - -3)*-1*601. Let a = -165282/55 - g. Calculate the common denominator of a and 93/40.
440
What is the least common multiple of 30 and ((-33)/2)/(131/(-786))?
990
What is the common denominator of ((-3)/15)/(-13 + 8459/605) and -89/24?
216
Let q = -480 + 9601/20. Calculate the common denominator of 309/(-100)*(-6)/144*4 and q.
200
Let w(y) = -25*y + 194. Let x be w(8). Let z(f) = -30*f - 152. What is the smallest common multiple of z(x) and ((-8)/(-3))/(2/6)?
56
What is the common denominator of ((-23)/3)/(-2 + 1) and -19 + (-6)/33*-88 - (-10)/14?
21
Let t(v) = v**3 - 4*v**2 + 4. Let y be 20/24 - 2510/(-12). Let c = y + -190. What is the lowest common multiple of c and t(4)?
20
Suppose v - 88 = -c, c - 4*v - 62 - 21 = 0. Suppose 151946*i - 151958*i = -108. Calculate the least common multiple of c and i.
261
Suppose 17 - 29 = -6*r. What is the common denominator of ((-4)/(-15))/(8/(-76)) and r/18 - (-19 + 24)?
45
Let i(r) = -3*r**3 + 3*r**2 - 9*r + 3839. What is the least common multiple of 698 and i(0)?
7678
What is the smallest common multiple of (-24)/((-3230)/(-360) + -9) and 36?
864
Suppose 0 = 4*r - 4, -5*r - 2 = -3*n + 23. Calculate the smallest common multiple of n and 50.
50
Suppose 5*y + 129 = 2*y. Let u = -34 - y. Let c = -7 + u. Calculate the least common multiple of c and 8.
8
Suppose -135 = 2*j - c + 38, -2*j = 4*c + 168. What is the common denominator of 366/40 + 22/(-55) and -1 - j*1/(-6)?
12
Let c(a) = 23*a - 51 + 79*a + 556*a. Let l be c(5). Let s = -25961/8 + l. Calculate the common denominator of s and -89/22.
88
Let n(y) = 50*y**3 + 3*y**2 - 1. Let z be n(2). Let q = -4963/12 + z. Calculate the common denominator of q and 59/34.
204
What is the common denominator of -748*6/(-4320) - 1/(5/2) and 109/18?
36
Let s = 268681/42576 - -5/2661. Let d = -380827/114840 + 940/319. Find the common denominator of d and s.
720
Calculate the least common multiple of 18 and (12/8 + 2)/((-5)/(-210)).
882
Let d(c) = c + 17. Suppose 0 = 355*h - 356*h + 2. Calculate the least common multiple of d(-7) and h.
10
Let d = 14923 + -14447. What is the smallest common multiple of d and 444?
52836
Let n = 137 - 87. Let g = 121 + -86. Calculate the smallest common multiple of g and n.
350
Let g(l) = l - 44. Let j be g(46). Calculate the common denominator of -131/24 and (-2)/((-4)/j) - 828/351.
312
Let h be 1/(2478/8688) - (-4 + 8). Let c = -517/472 + h. Find the common denominator of 13/56 and c.
56
Let r = -126/19 - -1141/152. Suppose -760 + 8 = -4*y. Calculate the common denominator of r and (1/(-12))/((-2)/y).
24
Let p(m) = -1053*m - 23082. Calculate the least common multiple of p(-22) and ((-8)/5)/((-1)/15).
168
Let t be (-8)/3 + 12/18. Let v be -4*(9/(-12) + t/4). Suppose 53 = 3*m + 2*l, -v*m + l + 71 = -0*m. Calculate the lowest common multiple of 18 and m.
90
Suppose 7*b + 272 = -274. Let x = b - -78. Suppose -2*g - l + 3 = -x*g, -4*g = -2*l - 10. What is the lowest common multiple of 82 and g?
82
Let s = -5691321/5 + 1141785. Suppose -6*w + 2*w + 14036 = 0. Let n = w - s. What is the common denominator of n and -41/8?
40
Suppose u + 65392 = -45701. Let k = u - -17108391/154. Let n = -179/6 - -488/15. What is the common denominator of n and k?
770
Let v = -54873/53 + 4903183/4664. Let x = v - 218/11. Calculate the common denominator of -17/61 and x.
488
Suppose l + 864 = 7*l. Let r = 1963 - 1927. What is the lowest common multiple of r and l?
144
Let x = 51 + 128. Suppose x + 109 = 6*j. Calculate the common denominator of -25/32 and 4/(j/(-4)) + (-957)/126.
224
Let d = 82231/26 - 3164. Let i be 5 + -3761 + 2/1. Let o = 29953/8 + i. Find the common denominator of o and d.
104
Let c = -68882/27 + 2550. Let y = -77815/18 + 4322. Find the common denominator of y and c.
54
Let a = 454416 + -145413239/320. Find the common denominator of a and -137/30.
960
Let w(z) = z**2 + 5*z - 1584. What is the lowest common multiple of 72 and w(-44)?
792
Let k = -1892/225 - -256061/29925. What is the common denominator of -41/798 and k?
798
Let x(z) = 11*z**2 + 7*z - 16. Calculate the smallest common multiple of x(2) and 162.
1134
Suppose -2*d - 2*b - 5690 = 0, 0 = 4*d - 2*b + 3*b + 11380. Let q = -2549301 - -56022057/22. Let l = q - d. Find the common denominator of l and -113/12.
132
Suppose 26*y = 370 - 58. Suppose 19 = 5*r - 4*o, 6*o - o = -r - 2. Suppose 126 = 4*g + r*l, -3*g - l = l - 95. Calculate the least common multiple of y and g.
132
Let o = 54 - 52. Suppose o*m - 2*q - 28 = -76, q = -3*m - 60. Find the common denominator of 83/(-14) - (m/(-3) + -5) and 59/10.
70
Let t be ((2/(-3))/((-12)/72))/2. Let g(m) = 3*m**t + 0*m**2 + 8 - 21*m - 2*m**2 + 2*m**2. Calculate the smallest common multiple of 2 and g(7).
8
What is the common denominator of -77/52 and 1584/(-182) + (-2)/(94/8 - 12)?
364
Suppose 20*p - 16*p = 0. Suppose p = -b - 3. Calculate the common denominator of 13/15 and b - 8/(-108)*42.
45
Let a(w) = 13*w**2 + 3*w - 2. Let t be a(-2). Suppose 11*g + t = 11. Let o = 18 - g. Calculate the least common multiple of o and 27.
189
Let d(p) = -9*p - 68. Let t be d(-8). Let f(y) = y**2 + 7*y - 13. Let k be f(-9). Suppose -b + t = -k. What is the smallest common multiple of 3 and b?
9
Let t = 585/233 - 290423/118364. Find the common denominator of (10/14)/((-296)/(-2849)) and t.
1016
Suppose -9*q = -10*q - 4*w + 663, 2054 = 3*q - w. Let o = q + -661. Calculate the least common multiple of 2640 and o.
2640
Suppose r = 5*j + 10, -5*r - 3*j = -3*r + 45. What is the least common multiple of 77 and (-4 + (-536)/6)*18/r?
1232
Let o(i) = -4*i + 13. Let q be o(4). Calculate the common denominator of -163/30 and q/(-20)*((-664)/(-72) + -1).
30
Suppose 3*m + 2*l + 3*l = 28, -3*l = -m - 14. Calculate the common denominator of -58/3 and (22/132)/(m/(-94)).
3
Suppose 11*o - 10*o = 3*h - 150, 0 = 3*h + 6. What is the common denominator of 202/12*(o/(-120) - 1) and -97/126?
1260
Suppose -5*n + w = -15, 4*n + w + 6 = 6*n. Suppose -2*m + 16 = -4*b, -n*m - 23*b + 21*b = -40. Calculate the smallest common multiple of m and 26.
156
Let p = 3574 - 1654. Calculate the lowest common multiple of 336 and p.
13440
Suppose -13*p - 4 = 22. Find the common denominator of 143/30 and 87/(-22)*p*4/18.
330
Let o = 1414066270 - 98982195889/70. Let t = o + -34899. Calculate the common denominator of -8/21 and t.
210
Let l = 5/1362 - -45607/5448. Let s = -3581/7 - -54373/105. Calculate the common denominator of s and l.
120
Suppose -63*z + 63570 = 2*z. What is the smallest common multiple of z and 11?
10758
Let d = -269 + 267. Suppose -2 = -2*r + 4*r, 3*i + 2*r + 32 = 0. What is the common denominator of 7/4 and (-6)/i - (3 + (-15)/d)?
20
Let v = 64 - 61. Suppose i - 3*j - 7 = 0, 4*i - v*j = -3 + 4. What is the common denominator of -5/14 and 122/32 - (-3 - i)?
112
Let h be (7/63)/((-2)/(-17652)). Let n = h - 995. Let l = -1068 - -12871/12. Find the common denominator of l and n.
12
Let j = 1251 - 1245. Calculate the smallest common multiple of j and 54/3 + 3/1.
42
Let i = -1/830 + -16001/152720. What is the common denominator of i and 1/368?
368
Let p = 53050461303/136 + -390093109. Let w = -16187 - p. What is the common denominator of w and -32?
136
Let i = -4805/3 + 1591. Find the common denominator of (-1 - 0)*142/8 and i.
12
What is the least common multiple of 170/(-4)*896/(-140) and 176?
2992
Let l(p) = -p**3 - 13*p**2 + 50*p + 37. Calculate the lowest common multiple of 5 and l(-16).
5
Let z = 9963/4 - 2459. Let y be 170/(-8) + (-1 - -3). Let p = z + y. Calculate the common denominator of p and -63/10.
10
Let b(p) be the second derivative of -2*p**2 -