1. Calculate the least common multiple of 264 and x.
1320
Let l = -6 + 9. Let x = -29 - -26. What is the smallest common multiple of l and (0/(-9) + (x - -1))*-1?
6
Let t = 301/163 - 187831/89976. What is the common denominator of t and 67/144?
3312
Let m = -4985 - -29791/6. What is the common denominator of m and -145/23322?
23322
Suppose 0 = 34*y - 27105 + 14760 - 34507. What is the lowest common multiple of 182 and y?
9646
Let w be (-4821)/(-92640)*-74 + 1. Let q = w - -3/3088. What is the common denominator of (27/(-32))/(15/(-100)) and q?
40
Let f(x) = x**3 - 43*x**2 + 282*x + 6. What is the least common multiple of 15 and f(35)?
1140
What is the common denominator of ((-155)/(-25) - 6)/(32*(-54)/(-4095)) and 73/216?
1728
Let g = 765/2 + -428. Let t be 4 - (3/2)/((-42)/(-56)). What is the common denominator of g and t/(180/307) - (-8)/(-60)?
18
Suppose b = -4*b + 30. Find the common denominator of (1/((-3)/(-219)))/b and (-404)/24 - (-28)/(63/(-9)).
6
Let m(u) = -2*u**2 - 10*u - 6. Let r be m(-6). Calculate the common denominator of -139/30 and (77/2200)/(3/r).
300
Let c = 14793828/41 - 657994589/1968. Let z = c - 26480. What is the common denominator of -5/16 and z?
48
Suppose 100*d - 3 - 15708 = 789. Calculate the smallest common multiple of d and 9.
495
Suppose -5*o = -64 + 59, o = -5*c + 441. Calculate the lowest common multiple of c and 16.
176
Let d be ((-24)/20)/((-3)/(-76275)). Let u = 793111/26 + d. Let k = u + 841/546. Calculate the common denominator of -103/30 and k.
210
Let u be (1/(-3) + 1)/((-10)/900). What is the common denominator of (-6)/u*-77*1 and 62/45?
90
Let j = -1717 - -10357/6. Find the common denominator of ((-524)/(-56) - -3)*11/33 and j.
42
Let w = 19606/195 + -82364/819. Calculate the common denominator of w and 97/30.
8190
Let h(f) = -78*f**2 - 239*f - 5. Calculate the lowest common multiple of 110 and h(-3).
110
Let y = 3578/143 - 8079089/858. Let t = 9369 + y. Find the common denominator of t and -13/10.
30
Suppose 33 = b - 0*b + 3*z, 5*z + 66 = 2*b. Calculate the least common multiple of b and 101*(-3)/(-12) + (-300)/240.
264
Let a = -154 + 163. Let x(v) = -5*v + 85. What is the least common multiple of a and x(16)?
45
Let b = 92851/12 - 7749. Let i = -261 + 209. What is the common denominator of i/(-16)*20/8 and b?
24
Suppose -101*w + 84 = -98*w - 2*k, -42 = 7*k. What is the smallest common multiple of 24 and w?
24
Let c(l) = -l**2 - 4*l + 9. Suppose 2*x - 69 = -5*m, 144 = 4*x + 2*m + 14. What is the lowest common multiple of x and c(-5)?
32
Let v be (-6)/(-15) + (-36)/(-60). Suppose -3*a - 15 = -x, 0 = 2*x + 5*a + v + 13. What is the least common multiple of x and 3?
3
Suppose 13889 = 197*m - 9554. Calculate the least common multiple of m and 1445.
10115
What is the least common multiple of 4 and 48/2 + -32 - 11685/(-1)?
46708
Let g be (190/(-240))/((-82)/(-1492)). Let q = -184/41 - g. What is the common denominator of q and (-20)/(-3)*(-133)/56?
12
Suppose 31*j + 9 - 40 = 0. Calculate the common denominator of (555/(-50)*-2)/((-14)/j) and 15/112.
560
What is the common denominator of -35/57 and 7 - (2*(-361)/17670)/(2/(-305))?
3534
Suppose -16 = 26*m - 34*m. Find the common denominator of ((-33)/54)/((-16)/(-24)) and m + 393/240*-2.
120
Suppose 5*g + 28 = 2*u, -4*g = -5*u - 2 + 38. Let l(v) = 2*v**2 - 2*v - 4. Calculate the lowest common multiple of 60 and l(g).
180
Let i = 181947 - 183402599/1008. Calculate the common denominator of i and 85/63.
1008
Let p(r) = -r**3 + 13*r**2 + 2*r - 18. Let z be p(13). Let m = 5659 + -67973/12. Find the common denominator of m and (390/z)/(56 + -62).
24
What is the common denominator of ((-26)/(-1313))/(4*12/(-146)) and 101/20?
6060
Let a(z) = -202*z + 915. Let s be a(42). Let i = 83005633/10824 + -32889/328. Let m = s + i. What is the common denominator of m and -61/15?
165
Suppose -81*f + 2880 = -16*f - 8560. Calculate the smallest common multiple of 16 and f.
176
Calculate the common denominator of (-209911)/(-34892) + -18*(5 + (-56)/12) and 53/36.
24156
What is the common denominator of -5 - 51/4 - 3 and 20/(-70) - (-3 + 778/(-224))?
16
Let q = -69 + 141. Suppose -q = -2*s + 4*b - 7*b, 3*b + 96 = 2*s. What is the smallest common multiple of 24 and s?
168
Let a be 43/15 + 4/30. Find the common denominator of 31/2 and a + 124/(-40) + 5.
10
Let w = -2743940230/3003 - -913733. Find the common denominator of w and -43/130.
30030
Let s(p) = 3*p**3 - 20*p**2 + 68*p - 15. Let y be s(5). Let j = -1603/8 + y. Find the common denominator of 61/416 and j.
416
Suppose 3*z - 29 = -a, z - 11 = 3*a - 4*a. Calculate the least common multiple of 7/(-3) - -1 - 320/(-24) and z.
36
Suppose -3290 - 33190 = -208*b - 32*b. What is the lowest common multiple of 30 and b?
2280
Let w be (-12)/(-1520)*25*(-3171)/155. Let m = 305/62 + w. Calculate the common denominator of m and 27/10.
380
Suppose -k + 0*k + 27 = -w, -3*w = 3*k + 57. Let d = w - -26. Suppose l - 2*l = d*s - 12, 3*l = -3*s + 24. What is the lowest common multiple of l and 4?
12
Let k = 3776 + -932. What is the least common multiple of k and 2?
2844
Suppose 0 = -3*i - 2*i - 75. Calculate the common denominator of 1*((-342)/(-12) - 2) and ((-4)/3)/(i/(-9)).
10
Suppose 42 = 87*g - 84*g. Suppose 5*q = -z + 310, -2*q + 4*z + 0*z + 146 = 0. Calculate the lowest common multiple of g and q.
126
Let t(y) = -y**2 + 127 - 9*y - 69 - 75. Let c = 8 + 1. What is the least common multiple of c and t(-4)?
9
Suppose 5*i - 370 = 10*i. Let a = -29 - i. Calculate the lowest common multiple of a and 45.
45
Let d(n) = -n**3 + n + 144. Let r be d(0). Let f = r - 139. What is the lowest common multiple of 50 and f?
50
Let m = -147478/9 + 175793825/10728. What is the common denominator of m and 103/6?
10728
Let f be ((-858)/(-9))/((-5)/15). Let w = f - -2339/8. What is the common denominator of w and 26/67?
536
Let w = 351/2 + -2639/15. Let h = -25098 - -2760803/110. Calculate the common denominator of h and w.
330
Let u(a) = a**3 - 4*a**2 - 12*a - 8. Let p be u(6). Calculate the least common multiple of ((-2)/4)/((-2)/88) and (p/(-24))/(1/6).
22
Let w be (112/(-70) - 2)/(3/(-170)). Suppose w*q - 215*q + 99 = 0. Calculate the least common multiple of q and (-18)/(-15)*(6 + -1).
18
Let z(y) = 15*y + 1325. Calculate the least common multiple of z(-88) and 200.
200
Let o = -519729 + 799343303/1538. Let y = -1163957 + 2327973/2. What is the common denominator of y and o?
1538
Suppose -60*f + 2313 = -2854 - 773. Calculate the smallest common multiple of f and (-1585)/(-35) + 4/(-14).
495
What is the common denominator of (-798)/(-180) + (-3 - -1) and (-17)/(-153)*(-537)/2 - -9?
30
Suppose -3*w + 48 = b, -119*w - 2*b = -123*w + 64. Calculate the least common multiple of 4 and w.
16
Let m(c) = 3*c**2 + 13*c - 42. Let i(q) = 5*q**2 - 6*q + 4. Let n be i(1). Let f(l) = 2*l**2 + 7*l + 3. What is the smallest common multiple of f(-6) and m(n)?
264
Let d(i) = -16*i - 16. Calculate the lowest common multiple of 193/16*2 + (-271)/2168 and d(-5).
192
Suppose 14*k - 197 = n + 32, -2*k + 49 = -n. Let d = 8 - 6. Suppose 4*p = 2*l + 78, d*p + 3*l - 21 - 30 = 0. Calculate the smallest common multiple of p and k.
105
Suppose -s - 2*j = -214, -5*s - 3*j = -s - 861. Let t = 237 - s. Calculate the least common multiple of t and 5.
105
Let a = -17248 + 30608. Calculate the smallest common multiple of 7 and a.
93520
Let u = -19701 - -7269677/369. What is the common denominator of 59/99 and u?
4059
Let x = -1/1273 + 205109/198588. What is the common denominator of x and -11/216?
2808
Suppose -5*y + 135 = -5*v, -3*v + 6*y - 78 = 2*y. Let h = v + 47. What is the lowest common multiple of 4 and h?
68
Let q = 686669/1868130 - -45/6919. Calculate the common denominator of 44/81 and q.
810
Suppose 84*i + 76*i = 112*i + 882336. Calculate the lowest common multiple of i and 16.
147056
Let k(j) be the third derivative of -j**5/30 + 5*j**4/24 - 5*j**3/6 - 15*j**2. Let n be k(4). Find the common denominator of 99/2 and n + 21 - 107/8.
8
Let o = -229/66 + -1/33. Let x be (-128)/7 - (-90)/315. Calculate the common denominator of o and 35/200*x/(-1) + 2.
20
Calculate the common denominator of (-2868)/(-304) + -2 + (-35 - -28) and 101/6.
228
Let k = 10/28481 - 3959459/1708860. What is t