 + 2*x + 38 = 0, -15*d + i*d + x = 161. What is the lowest common multiple of d and 24?
120
Let t(u) = -10*u - 62. Let j be t(-11). Suppose 4*r = -5*p + 87, -2*r + j = p + 3*p. What is the smallest common multiple of r and 51?
306
Suppose v = 2*v - 68. Let x(s) = s**2 - 7*s + 2. Let p be x(8). Suppose -2 = -3*h + p. Calculate the least common multiple of h and v.
68
Let n(o) = -o**2 + 35*o - 62. Calculate the least common multiple of 559 and n(9).
2236
Let c = -1556 + 3259/2. Let a = c + -341/4. Find the common denominator of a and 6.
4
Suppose 8*s + k - 7507 = 6*s, -2*s - 5*k + 7535 = 0. Calculate the lowest common multiple of s and 24.
15000
Suppose q - 2*m + 2 = 12, 2*m = -2*q + 44. Let d(z) = -3*z**2 - z + 5. What is the common denominator of d(-4) and ((-1)/(-6)*-6)/(q/(-10))?
9
Let r = 20 + -31. Let v(h) = -h**3 - 10*h**2 + 17*h + 68. What is the smallest common multiple of v(r) and 45?
90
Suppose -3*i - a = -18, -2*i - 9 = -5*a - 4. Suppose -2*f - y = y - 2, -y = i*f - 1. Calculate the common denominator of (f - 2/11) + 215/(-451) and -44/5.
205
Suppose -2*i - 17613 - 5781 = -2*r, 0 = 4*r + 4*i - 46772. Calculate the least common multiple of 11 and r.
128645
Suppose -13*g + 2*g = -110. Let n be 20/3*(-9)/(-2). What is the lowest common multiple of (4/(-10))/((-3)/n) and g?
20
Let a = 496257 + -87340513/176. Let h = -27/22 - a. Find the common denominator of h and ((-2)/(-56))/(5/(-86)).
560
Suppose 160*m - 1198295 = -410775. What is the least common multiple of 1070 and m?
24610
Suppose -4*a + 4*n - n = -13, -2*a - 5*n + 13 = 0. Suppose -5*y = -3*q + 162, -5*y = -a*q - 0*q + 216. Calculate the lowest common multiple of q and 12.
108
Let y be (-4977)/(-28)*3/(18/(-16)). Let m = y + 11339/24. What is the common denominator of -77/2 and m?
24
Let i = -7058135/6 - -1181443. Let y = 5073 - i. Find the common denominator of y and -25/23.
138
Let i = 3154 - 3145. What is the least common multiple of i and 757?
6813
Let g be ((-554)/24)/((-8)/(-3057)). Let s = g + 8823. Find the common denominator of s and ((-36)/(-1296))/((6 - 6915/1150)/3).
288
Let b = -1560457/167123610 - 1/246495. What is the common denominator of b and 43/2486?
22374
Let p = 161 - -30. Let b be 10/15 + (-482)/(-6). Suppose -5*c + p = b. Calculate the least common multiple of 9 and c.
198
Let p = 1700538/11 + -22961401/154. Let f = -5486 + p. Find the common denominator of -93/10 and f.
70
Suppose 22*a + 2924 = 41*a + 24*a. What is the smallest common multiple of a and 544?
544
Let q = 3006 - 1060. Find the common denominator of -107/18 and (q/56)/(10/(-1) + -2).
144
Suppose 2025 = -8*b - 2423. Let t = -20389/22512 - -1/1072. Calculate the common denominator of (-6)/(144/b) + (-3)/2 and t.
21
Suppose -2*d - 171148 = 130652. Let a be (-5)/(d/319357) - (-1 + 1). Let s = a - -4/2515. Find the common denominator of 39/10 and s.
60
Calculate the lowest common multiple of (-23)/(-1)*6*(-2)/(-12) and 4.
92
Let v(m) = -3*m**2 + 8*m + 15. Let n(c) = -c**3 - 8*c**2 + 22*c + 46. Let k(l) = -2*n(l) + 7*v(l). What is the lowest common multiple of k(5) and 22?
198
Let r = -76 + 88. Let v be r/(-42) + (-46)/(-14). Suppose 5*n - 74 = 2*z, -n = -4*z + v*z - 16. What is the lowest common multiple of n and 150?
1050
Suppose -3*c + 4*c = 5*i + 62532, -2*i + 2*c = 25008. Let o = 825427/66 + i. Calculate the common denominator of o and 29/24.
264
Suppose 28*w + 108 = 34*w. Suppose 4*m = w*m - 406. What is the lowest common multiple of 3 and m?
87
Suppose -2*f - 88 = 4*m - 0*f, -4*m - 5*f = 88. Calculate the least common multiple of (44/(-8))/(11/m) and 73.
803
What is the common denominator of -7/80 and (-18)/(-336)*7*(-356)/(-12)?
80
Let a = -147591 - -65898. Let g be -2 - -1 - 81722/a. Let n = 228193/45072 - g. Calculate the common denominator of n and -101/22.
176
Let t(y) be the second derivative of 29*y**5/20 + y**4/4 - 5*y**3/6 + 3*y**2/2 + 19*y. Calculate the smallest common multiple of t(1) and 3/9 - (2 - 231/9).
120
Let u = -3/722 - -18835/15162. Suppose -7 = -11*t + 15. What is the common denominator of u and 5 + (363/(-72) - t)?
168
Let p(w) = w**2 - 22*w - 480. Calculate the smallest common multiple of 144 and p(38).
1152
What is the least common multiple of (85/(-51))/(4 - 11905/2970) and 88?
792
Let s(f) = -f**3 + 8*f**2 - 10*f - 25. Let j be s(5). Let y(h) = -13*h + 18. Suppose -7*c + c = -36. Calculate the lowest common multiple of y(j) and c.
18
Let k = -753 + 1095. Suppose 3*t - 5*z - 199 = 0, -24*t = -29*t - 2*z + k. Calculate the lowest common multiple of 22 and t.
748
Let w(g) = -2535*g**2 + 12*g + 21. Let f be w(-2). Let s = f + 1054777/104. What is the common denominator of -39/22 and s?
1144
Let f = -21687437/281560902 - 2/394343. Calculate the common denominator of 9/595 and f.
3570
Calculate the smallest common multiple of 1392 and 290/((-1246)/98 + 13 - (-5)/7).
6960
Suppose 0 = 4*p + 129 - 21. Find the common denominator of -83/8 and p/28 - 0 - (-64)/224.
56
Suppose 16*z + 15 + 81 = 0. Find the common denominator of -49/15 and 2/z*119/(-42)*-15.
30
Suppose 4*p = 8*p + 8. What is the common denominator of 25/12 and 236/(-3)*p/456 - 0?
684
Let x = 6116803547630/9693 + -631053704. Let i = x + 8/359. Calculate the common denominator of i and -37/117.
351
Suppose 13*z - 8*z = -h - 7727, 38715 = -5*h - 5*z. Find the common denominator of ((-1)/24)/((-61)/h) and 110/(-18) + 2/(-6).
72
Suppose 0 = -60*n - 30*n - 55*n + 586380. Calculate the lowest common multiple of 24 and n.
8088
Let w = -291 + 296. Suppose -79 = -37*y - w. What is the least common multiple of y and 22?
22
Let o = -3347 + 3506. What is the least common multiple of 39 and o?
2067
Let f(h) = 51*h - 108. Let b be f(20). Suppose -26*v = -7*v - b. Calculate the lowest common multiple of 44 and v.
528
Let a = -12922 - -3850749/298. What is the common denominator of (7 - 1) + 354/36 and a?
894
Suppose -13*z + 845 = -0*z. What is the common denominator of (z - 69) + 47/44*6 and 1/12?
132
What is the common denominator of 52/15 and (-132258)/12690 - -11*1?
45
Let k(a) = a + 17. Let q(v) = -v**2 + v + 1. Let j be q(1). Calculate the lowest common multiple of 36 and k(j).
36
Suppose -3*f + 5*b = -428, 3*f = 7*f - 5*b - 584. Calculate the least common multiple of 984 and f.
12792
Find the common denominator of 16/115*((-5)/(20/(-38)) - -3) and -167/378.
8694
Let h = 6313167218 + -3308098507681/524. Let f = h - 2127. Find the common denominator of f and 47/6.
1572
Let x be (-4)/15*(4 - (-24842)/(-28)). Let z = x - 237. Find the common denominator of 17/2 and z.
42
Calculate the smallest common multiple of (2400/(-70))/(-8)*973 and 9.
12510
Let v(q) = -2*q**2 - 27*q - 32. Let p be v(-12). Suppose 0*s + 51 = 5*a - 3*s, 5*a - 72 = -p*s. Calculate the smallest common multiple of a and 12.
12
Let g be ((0/5)/(-2))/(-2). Let w be 7/(49/1170)*(g + -7). Let r = w + 3478/3. What is the common denominator of r and 187/30?
30
Let t be (6 + 4 - -5)*(-18)/(-10). Suppose -y + 5 = -5*u, -u = -t*y + 22*y + 49. Calculate the least common multiple of (-2)/((-6)/4 - -1) and y.
20
Let o be (-1)/(-2 - 0) - (-6)/12. Calculate the smallest common multiple of -30*(6/(-15))/o and (0/1 + 4)*4.
48
Let p = 14740 + -2874199/195. Find the common denominator of p and 145/36.
2340
Suppose 1044 + 81 = 125*y. Calculate the least common multiple of 1058 and y.
9522
Let r = 300189 + -2709082/9. Let d = r + 817. Calculate the common denominator of -7 + 6 - (496/6)/4 and d.
9
Suppose -4*j - 2*u = -96, -j + 19 = u - 6. Suppose 0 = -4*o - 20, y + j = 4*y - 4*o. Find the common denominator of y/5 - (-1 - (-261)/55) and -99/2.
22
Let f(h) be the third derivative of -13*h**5/60 - h**4/24 - h**3/3 - 6*h**2. Let d be f(-2). Calculate the least common multiple of 16 and d/(-9) + (-4)/(-18).
48
Let k = -3014/351 + -3786283/3510. Let o = 1092 + k. Calculate the common denominator of o and 1/35.
70
Let n = -121114709/2921620 - 1982/8593. Let y = -735/17 - n. Let o = -276 + 1095/4. Find the common denominator of o and y.
20
Suppose 0*g = -3*p - 2*g - 8, 0 = g + 1. Suppose 42*m - 41*m = 2. What is the smallest common multiple of m and (21 + (-12)/4)/(p/(-6))?
54
Let o = -46/11565 + -111473/80955. Let y be (-173641)/(-116685) + (-8)/(-20). Let l = -2/2593 - y. Find t