
Let s(z) = 44*z**3 + 12 + 12*z**2 + 16*z - 17*z**3 - 26*z**3. Let r be s(-8). Suppose -6*u + r = -u. Calculate the smallest common multiple of 2 and u.
28
What is the common denominator of ((-408)/(-2688))/((300/(-154))/(-5 + 4)) and -37/4080?
40800
Let v = 11298 + -1016863/90. Find the common denominator of v and -149/204.
3060
Suppose -y + 27 = 3*b, -4*y - 27 = -b - 2*b. Suppose -1263 = -b*h - 381. What is the common denominator of -91/4 and (5 + (-38)/8)*h?
4
Let a = -7178035/381 + 18840. Calculate the common denominator of a and -83/36.
4572
Let j(g) = 5*g**2 + 26*g + 60. Let o(i) = -7*i**2 - 26*i - 61. Let m(l) = -3*j(l) - 2*o(l). Calculate the lowest common multiple of 21 and m(-23).
231
Suppose -5*r + 2*z = -8 - 8, -8 = -4*z. What is the lowest common multiple of r and 5483?
21932
Suppose 0 = -13*x + 12*x - 4061. Let z = -146269/36 - x. Calculate the common denominator of 149/12 and z.
36
Suppose 4*l - c = 371, 339 + 57 = 4*l + 4*c. Suppose l*b - 100*b = 1428. What is the common denominator of 67/86 and (b/8)/(65/26)?
430
Suppose 150*l + 184*l - 4500 = -41*l. Calculate the smallest common multiple of l and 8337.
33348
Suppose f + 4*n = -2*f + 77483, -n + 129127 = 5*f. Let j be 20 + (-580)/20 - (-1755702)/(-68). Let i = j + f. Find the common denominator of -29/2 and i.
34
Suppose 2004 = 13*d - 6784. What is the common denominator of 6/(-10) + d/960 and -17/24?
48
Let k(y) = -2*y**2 + 27*y + 16. Let q = 21 - 11. What is the lowest common multiple of k(14) and q?
10
Let t(v) = -v**2 - 5*v**2 - 2*v**3 - 11*v**2 - 12*v**2 - 7*v**2 - 11*v + 3. What is the smallest common multiple of t(-18) and 7?
1407
What is the common denominator of 28/435 and (23/(-35) + -1)/(580/(-203))?
4350
Let w be (-2)/9 - (-309049)/5148. Let o = w - 712/11. What is the common denominator of o and -71/21?
84
Suppose -2*f + 3*f - 7 = -4*l, f + 14 = 3*l. Calculate the common denominator of 9/l + 119/(-18) and -53/100.
900
Let g be 1444585/(-85) - 14/(-119). Let b be (-15)/4*(-7205724)/(-1590). Let z = b - g. What is the common denominator of z and 93/8?
424
Calculate the smallest common multiple of 44 and (-2 + -73)*(-5467)/355.
4620
Let y = -18689 - -953074/51. Calculate the common denominator of y and 4 + (412/72)/(-1).
306
Let g be (14 - -1)/3*(-744)/(-15). Let j be ((-40)/1312)/((-42)/g). Let b = -105/41 + j. Find the common denominator of b and 157/30.
210
Let j = 73 + -69. Suppose 0*v = -j*y + v + 10, 3*v = -5*y + 21. What is the smallest common multiple of 9 and y?
9
Let n(t) = -2*t**3 - 12*t**2 - 11*t - 11. Let y be n(-5). Suppose -q - 4 = -5. Calculate the common denominator of (276/(-2530))/(y/(-80)) and q.
11
Let c be 5/(4*(-5)/(-8)). Suppose u = -c*n - 781, 2*n + 0*u = 5*u - 751. What is the common denominator of 3 + -6 - n/40 and 85/4?
20
Let b = 395/76 - 700/57. Let a be 60165/(-51)*(-123)/(-18). Let u = a + 8064. Find the common denominator of u and b.
204
Let x = -767/4 - -20521/108. Calculate the common denominator of -59/18 and x.
54
Let r = -3229 + 3247. Calculate the lowest common multiple of r and 501.
3006
Let r = -60321/16786 + 2/763. Find the common denominator of (-207)/(-2)*((-4706)/(-429) - 11) and r.
22
Let x = -281 + 211. What is the lowest common multiple of (16/(-3))/8 + x/(-6) and 47?
517
Let n(o) = -o**2 + 6*o + 2. Let z be n(10). What is the common denominator of (-782)/(-255)*(-10)/z and -29/12?
228
Let l be (-4 - (-837530)/54)/((-10)/12). Let o = -18605 - l. Calculate the common denominator of -11/5 and o.
45
Let n = -793/4 + 4119/20. Let i = 43160999682971/12754 - 3384114768. Let l = 16/911 - i. Calculate the common denominator of l and n.
70
Let o(q) = -3*q - 6. Let l be o(0). What is the least common multiple of 7 and 2*(-120)/l - 6?
238
Find the common denominator of 95/2668 and (1/(-6)*432/(-120))/((-12)/(-405)).
2668
Suppose -6*k - 1006 = -2392. What is the common denominator of ((-60)/(-42))/(-10) + 467/k and 58/5?
165
Suppose 0 = -s - 4*q + 20, 7 = -s + 2*q - 3. Let n = s + 10. Let d(h) = 2*h - 1. What is the lowest common multiple of d(1) and n?
10
Suppose -4*x - 4 = m, 2*m + 5*x + 0 = -5. Suppose m = 5*u - 0 - 75. What is the least common multiple of u and 126?
630
Let l = 43431/2 - 21672. Find the common denominator of -58/453 and l.
906
Find the common denominator of 5/56 and (495/(-6237))/(4/23).
504
Let d = -1 + -32. Suppose q + 138 = 4*q + u, -3*u + 38 = q. Let g = q + d. Calculate the smallest common multiple of 18 and g.
126
Calculate the common denominator of 103/150 and ((-3657)/(-230) + -16)*(1 + 602/(-270)).
1350
Let s be -5 - (-3 - (-1216901)/(-163632)). Let i = s - -1/1461. What is the common denominator of -15/158 and i?
1264
Let z be -2 + (7 - -35378) - -8. Let c = z + -2265095/64. Find the common denominator of 2 - ((-426)/(-4))/(-3) and c.
64
Suppose 5*x + 0*a + 127 = -a, 104 = -4*x - 2*a. Let t be (-5)/x - (-1 - 339/5). What is the common denominator of (20/((-8)/(-2)))/(144/t) and -5/16?
48
Let z be (102623/123)/((-8)/6). Let r = z - -617. What is the common denominator of 79/4 and r?
4
Let x = -36289/20 - -48517633/26740. Calculate the common denominator of x and -26/573.
4011
Let c = 510181/24 + -21263. What is the common denominator of c and -103/1578?
6312
Let z be ((-63)/(-90))/((-6)/(-244)). Let s = z + -973/30. Find the common denominator of s and -28/15.
30
Let t(d) = d**2 + 16*d + 43. Let j be (1 + (-6 - -7))*-7. What is the smallest common multiple of 5 and t(j)?
15
Let y = -1077963719/8262 + 260945/2. Calculate the common denominator of -14/45 and y.
20655
What is the common denominator of (-252)/4*23/138 and 13/542?
542
Let p be ((-16)/24)/((-3)/459). Let a = 87 - p. Find the common denominator of -3/4 and 74/a - 15/(-10).
60
Let d be 2450/45 - (-8)/(-18). Find the common denominator of 87/10 and 1 - (-3 - (-249)/d).
90
Let d = -1760 - -1770. What is the lowest common multiple of 298 and d?
1490
Let w be (-50)/30 + (-1684)/(-240). Let i = -4/5 + w. Calculate the common denominator of i and -97/2.
20
Let u(q) = 2*q**3 - q + 1. Let c be u(1). Suppose -a = 4*a + 5*g - 210, 4*g = c*a - 72. Calculate the lowest common multiple of 10 and a.
40
Suppose 0 = 2*t - 5*q + 17, -5*q - 3 = -5*t - 8. Let p = 17 - 15. Let c = p + 8. Calculate the lowest common multiple of c and t.
20
Suppose -30 = -4*z - 2*x, -6*z + x = -18 - 7. Find the common denominator of z and -105/9362.
9362
Let v be 1183/65 + 1/(-5). Find the common denominator of (-24)/(-108) - 57/108 and (-10)/(-45) - 241/v.
36
Let c(t) = -t**2 - 6 - 6 - 2*t**2 - 4*t + 5*t**2. Let y = 141 - 135. Calculate the least common multiple of y and c(5).
18
What is the common denominator of 590/(-44) - (111 - 122) and 101/482?
5302
Let j(w) = -12 + 29 - 15*w - w**2 - 20. Suppose 0 = 5*c - c - 8. Calculate the lowest common multiple of j(-14) and c.
22
Let g(z) = -29*z**2 + 36*z + 1. What is the lowest common multiple of g(1) and 2818?
11272
Suppose -2*r - 383 = -5*f, 5*f = 2*r + 10*f + 393. Let u = 196 + r. Calculate the lowest common multiple of 5 and u.
10
Let i(c) = -c**2 + 25*c - 84. What is the least common multiple of 1272 and i(12)?
3816
Let n(b) = b**3 - 5*b**2 + 8*b - 1. Let i be n(7). Let a = i - 151. Calculate the least common multiple of a and 10.
10
Calculate the least common multiple of (160/112 + 0)*721 and 618.
3090
Suppose 12 = 9*b - 24. Suppose b*d = 3*d + 84. Calculate the lowest common multiple of (d/112)/((-2)/(-16)) and 11.
66
Suppose -10*v = 12*v - 858. Suppose -v*b + 27*b = -456. What is the smallest common multiple of b and 11?
418
Calculate the common denominator of 167/84 and -3 + 3161/312 + (-6)/24 - 7.
2184
Suppose 5*z = -5*f + 175, -2*f = 2*z - 3*f - 70. Calculate the common denominator of -101/12 and z/30*15/(-21).
12
Let u = -115169 + 115196. Suppose 5*k = 342 - 27. Calculate the lowest common multiple of u and k.
189
Calculate the least common multiple of ((-23598)/(-115))/((-75)/(-2000)) and 2736.
5472
Let p(j) = 13*j**2 - 14*j + 11. Calculate the least common multiple of p(-5) and 4.
812
Suppose 8*o - 6 = 26. Calculate the common denominator of o - 6 - (186/(-64) + 1) and -1/44.
352
Let o be (-6 - 6/(-7))/(4/(-98)). Suppose o = -5*x + 136. Calculate the least common multiple of x and 14.
14
Suppose 0 = -2*f + 4. Calcul