1593. Find the common denominator of t and 47/5691.
45528
Let a(k) = -3*k**2 + 11*k + 3 + 2 - 4 + 3. Let c be a(6). Let j = c + 44. What is the smallest common multiple of j and 1?
6
Let j = -449501 - -563674175/1254. What is the common denominator of j and 50/99?
3762
Let a(p) = p**2 + 300*p - 602. What is the lowest common multiple of a(2) and 5196?
5196
Suppose -2*z - 2*k + 5 = -15, 4*z + 2*k = 44. Suppose 8*r + 48 = 10*r. What is the smallest common multiple of 405/10 - 6/z and r?
120
Let n(u) = -9*u**3 + 1. Let i be n(-1). Let j(p) = p**3 - 11*p**2 + 13*p - 9. Let t = -7295 - -72923/10. What is the common denominator of t and j(i)?
10
Let r(t) = 2*t**2 + 73*t + 40. Calculate the least common multiple of 86 and r(-36).
172
Let u = -19020 + 20721. Calculate the smallest common multiple of 756 and u.
6804
Let b(a) = a**3 + 14*a**2 + 9*a + 21. Let z be b(-14). Suppose -5 - 9 = -o + 5*y, 162 = 5*o - 2*y. What is the common denominator of o/3*z/(-28) and 14/3?
6
Let p(h) = h**2 - 2*h. Suppose 2*b = -0*b + 20. Let i = -8 + b. What is the smallest common multiple of p(-3) and i?
30
Suppose -9*f = -2*y - 5*f - 8, -5*f + 7 = -4*y. Suppose 6 = -3*d + 3*p, 3*p + 22 = -7*d + 3*d. What is the smallest common multiple of d*(0 + -5 + 3) and y?
8
Let v = 90 + -85. Suppose 3*s - r = 2*s + 369, -3*r + 1837 = v*s. Let b = -2921/8 + s. What is the common denominator of -59/38 and b?
152
Suppose -4*z = 110 - 66. Find the common denominator of 187/30 and (1/(-60))/(z/(-2926)).
30
Let y = -3/2786 + 57901/84973. Calculate the common denominator of y and (6066/8088)/((-15)/(-202)).
610
What is the common denominator of (-1035*41/54940)/((-6)/(-4)) and 107/168?
11256
Let d be 77*(-1)/4 - (-21)/84. Find the common denominator of -11/4 and -5 - ((-45068)/(-576))/d.
144
Let v = -6821762/105 + 64970. Calculate the common denominator of v and 13/1500.
10500
What is the common denominator of ((-16326)/(-165))/((-1095)/(-100)) - 9 and 53/584?
6424
Let s(t) = -2*t + 30. Let v be s(16). Let o be 2 - 91/35 - v/(-5). Calculate the common denominator of 624/(-160) - (-3)/o and 9/20.
20
Let t = 23965 + -527121/22. Suppose 826 - 1092 = 7*o. Calculate the common denominator of o/(((-1456)/21)/(-13)) and t.
88
Let v be (-16)/3*(-33)/116 + -4. Let m = v - -1993/1305. What is the common denominator of m and 3/25?
225
Let j(y) = 41*y**2 + 6*y - 4. Let s(r) = 29576*r - 266182. What is the least common multiple of s(9) and j(4)?
676
Suppose 36 = 4*k + 4*a, 4*a = -0*a + 16. Suppose 1002 = 3*g + 2*r - k*r, -r - 672 = -2*g. Calculate the smallest common multiple of (8 - 10) + (-1)/2*-44 and g.
3380
Suppose -2*q + 1284 = -4*j, -j = 7 - 16. Calculate the smallest common multiple of q and 1470.
32340
Let w(p) be the third derivative of p**6/60 + 9*p**5/10 - p**4/24 - 5*p**3/2 + 88*p**2. What is the least common multiple of 27 and w(-27)?
108
Let k(h) = -54*h - 54. Let f be k(-9). Let z = -382 + f. What is the least common multiple of 100 and z?
100
Let m = -23143/140 - -1387/10. Let o = m + 160/7. What is the common denominator of o and 71/106?
212
Find the common denominator of 24/64*(5 - (-2)/474*-829) and 123/10.
790
Let a = -9 - 17. Let n = a + 36. Suppose -19*m - 62 = -22*m + 2*i, 5*m - 3*i = 102. What is the least common multiple of n and m?
90
Let q be (14/4 + -1)*(-66)/(-55). Calculate the smallest common multiple of 4/20*q*90 and 6.
54
Let z = -204 - -312. Let b be 84/z - 4/(-18). Calculate the least common multiple of 15*2/2 + (b - -2) and 16.
144
Let w = -5245 - -5395. What is the least common multiple of w and 200?
600
Let l be (-79225)/(-1)*(7 + -6). Let d = -10695449/135 + l. Calculate the common denominator of d and -19.
135
Suppose -4*j - 5*o = -999, 3*j - 2*o - 829 + 51 = 0. What is the least common multiple of j and 736?
5888
Let j = 111 + -118. Let l be (j - (-6)/8)/(2/(-16)). Suppose 0 = -11*u + 248 - l. What is the least common multiple of u and 9?
18
Let k = 5756515/792 + -236074/33. Let u be 9940/(-90) + 3 + (3 - 5). Let a = k + u. What is the common denominator of a and 59/4?
8
Let z = -406 - -266. Let w = z - -152. Calculate the lowest common multiple of w and 34.
204
Let t(j) = 12*j + 424. What is the smallest common multiple of t(1) and 545?
2180
Let x = 766/17 + -3033/68. What is the common denominator of x and -2?
68
Calculate the smallest common multiple of ((-1230)/287)/(1/(-7)) and 210.
210
Let h(d) = -d**3 - 7*d**2 + 10*d + 12. Let s be h(-6). Calculate the common denominator of 52/3 and ((-140)/126)/(4/s).
3
Let s = 4194 - 4159. Calculate the smallest common multiple of 2010 and s.
14070
Let w(r) = r**3 + 18*r**2 + 28*r + 22. Let t be w(-15). Find the common denominator of t/40 + -19 + 12 and -85/88.
440
Suppose 2*p = 8*p - 72. Let h be ((-1)/(-3))/((-35)/p + 3). What is the least common multiple of 10 and 8 - (3 - h)*2?
10
Let l be ((-56)/42)/(2 - (-8)/(-3)). Calculate the common denominator of -181/30 and (1 + 152/264)/(l/2).
330
Let d be (4/(-5))/((-5)/25). Suppose m - 5*g - 43 = -2*m, 0 = -d*m + 4*g + 44. What is the least common multiple of 180 and m?
180
Let i(l) = -l**3 + 12*l**2 + 14*l - 10. Suppose q - 1331 = -4*s, s + 15 = -2*q + 346. What is the least common multiple of s and i(13)?
333
What is the common denominator of (-336)/(-224)*(75/(-6) - -1) and 47/232?
232
Let g = -3409 + 3365. Let z be -1 + 0/2 - -530. Let c = z + -5778/11. Find the common denominator of c and g.
11
Let s = 2/66765 - -17507/8902. Find the common denominator of 21/10 and s.
30
Let p(u) = -21*u**2 + 2*u + 2. Let y be p(-1). Let b = 830 - 435. What is the common denominator of 73/6 and 20/8*y/b?
474
Let x = -113 + 116. Suppose 5*z + 2*l = 8, 5*z + 4*l - 9 + x = 0. Suppose 0*a + 142 = 5*t - 3*a, a + 56 = 2*t. What is the smallest common multiple of z and t?
26
Let x = 7782 + -7747. Calculate the smallest common multiple of 266 and x.
1330
Suppose 2*h - 20 = -2*h. Suppose 5*n - 4 = -p + 9, -h*p - 27 = 2*n. Let f = p + 28. Calculate the least common multiple of f and 2.
42
Let c be 6/(-3 - (-14)/6) - 4. Find the common denominator of c/(39/12) + (-140)/(-18) and 28/18 - (-5 - (-14)/3).
9
Calculate the common denominator of 1008/(-297)*4*2/96 and 8/705.
23265
Let u = 532183/5524680 + -15/6577. Calculate the common denominator of -157/504 and u.
2520
Let k be (356074/6)/(46/6). Let y = -7742 + k. Let j = -24035/8 + 2999. Calculate the common denominator of j and y.
184
Let r be (((-8)/(-6))/(-2))/(96/2664). Let t = r - -297/16. Find the common denominator of t and 53/2.
16
Suppose 3*p = -715 - 1403. Let n = 712 + p. What is the smallest common multiple of 64 and n?
192
Let y be (-180)/(-16) + 1/(-4). Let m = -39 + 217/8. What is the common denominator of m and (-151)/(-12) + (8 - y)?
24
Let v be (-1)/(-3) - (-33)/9. Let s be (-2694346)/105168 + v/14. Let g = 1/2504 + s. Find the common denominator of -68/9 and g.
9
Suppose 2*p + 103*i = 108*i + 1418, -3*p - 4*i = -2081. What is the lowest common multiple of p and 42?
9786
Find the common denominator of 42/243*(-42)/4 and (-8)/(-512)*-49*68/(-102).
864
Calculate the common denominator of -1/83 and ((16 + -13)/(0 - 1))/(-109 + -2).
3071
Find the common denominator of (-4532)/2016 - (-20)/(280/6) and -37/178.
6408
Let f(k) = k**3 + k**2 + 6*k - 9. Let j(m) = -m**2 - m + 32. Let l be j(-6). Calculate the common denominator of 11/17 and f(l).
17
Let c(d) = 5*d + 224. Let x(u) = -u**3 + 5*u**2 + 6*u + 6. What is the lowest common multiple of x(6) and c(-41)?
114
Suppose h - 4*h - 1326 = -3*s, 0 = -2*s - h + 872. What is the smallest common multiple of s and 3?
438
Let s be 14648/60 - (-38)/57. Let d = -256 + s. Find the common denominator of d and -91/40.
40
Suppose -19*f = 11*f + 9210. Let l = f - -397. Calculate the smallest common multiple of l and 12.
180
Let i = -9195 - -12847. What is the smallest common multiple of 996 and i?
10956
Let t(o) = -96*o + 5424. Calculate the least common multiple of 4 and t(47).
912
Let x = -15 + 29. Suppose 0 = -l + 8, -4*s + 51 = 4*l - 1. Calculate the lowest common multiple of s and x.
70
Suppose 2069 = 5*t - 7*s, -2*t + 148*s = 145*s - 828. What is the lowest common multiple of t and 1096?
3288
Let u(k) = k**2 + 65*k + 990. Let z be u(-41). Suppose -42 = -3*y - 9. Suppose 0 = y*r - z*r - 75.