he common denominator of -47/7 and (-17)/7 + (-6)/(-14) + 77/210.
210
Suppose -3*s + 190 = 2*s. Suppose 2*z - 3*w = 22, -25*z - 48 = -28*z - 3*w. What is the lowest common multiple of z and s?
266
Let j = 8 - 11. Let r(k) = -6*k + 10. Let c be r(j). Find the common denominator of 24 and (-3)/(-1) + c/12.
3
Suppose -98 + 2 = -4*n - 3*d, 0 = -3*n + d + 72. Suppose -3*b + 5*p + 21 = 0, -171 = -5*b - 279*p + 276*p. What is the smallest common multiple of b and n?
216
Let u be 2676/7157712*(-81627606)/(-4). Let z = u + 12/149119. Let n = z + -7618. What is the common denominator of n and 77/6?
24
Suppose -30*y = -37*y + 35. What is the smallest common multiple of y and (-82)/12*(-606)/101?
205
Calculate the common denominator of 77/1836 and (17 + (-2677)/162)/(2/6).
1836
Let d(p) = -17*p - 60. Let h = -12 + 21. Calculate the smallest common multiple of 12/h + (-16)/(-6) and d(-4).
8
Let d(c) = -2*c - 15. Let y be d(-10). Suppose y*a - 19 = -9. Find the common denominator of 1/a*-2 - 675/72 and 31/24.
24
Find the common denominator of -20/81 and 4971/221130 + 38/(-665).
2106
Let o = -531 - -691. Calculate the lowest common multiple of 25 and o.
800
Suppose -1041 = -11*v - 733. What is the least common multiple of v and 2640?
18480
Let r = -3546 - -3609. What is the lowest common multiple of r and 567?
567
Let d(b) be the third derivative of -11/24*b**4 - 41*b**2 + 0*b + 0 - 31/6*b**3. What is the lowest common multiple of 27 and d(-5)?
216
Suppose 649*m - 640275 = 313755. What is the smallest common multiple of 330 and m?
16170
Calculate the common denominator of 51/140 and 126/1440*(-994)/(-245).
1400
Find the common denominator of (-4 - 22) + 28 + 74/(-16) and 2/(-4)*(-5)/(-8).
16
What is the common denominator of -205 + 201 - (-29087)/7294 and -91/20?
72940
Let z = 7457/12 - 619. Let y be 1 + ((-108381)/(-48))/1 + 4. Let t = 2261 - y. What is the common denominator of z and t?
48
Let a = 60 + -49. Let v = a + -9. Suppose -3*x + x + 17 = -l, -v*l - 22 = -2*x. Calculate the smallest common multiple of x and 27.
54
Let l be (5/(-25))/(3/(-45)). Let u(h) = h**3 - 3*h**2 + 4*h - 1. Let d be u(l). Let y(f) = -f + 21. What is the least common multiple of y(d) and 14?
70
Suppose 5*o = -2*m + 1083, -4*m - 1544 = -2*o - 3746. Calculate the smallest common multiple of m and 61.
549
Let u = 73 + -45. Let s be (-2*4)/((-8)/u). What is the common denominator of 42/11 and ((-20)/s - -1) + (-628)/(-448)?
176
What is the common denominator of -57/322 and (-12914)/1610 + (7 - (-11 + 12)) + 2?
1610
What is the common denominator of (-6)/(1 - 0) + (-4)/(-32) and -81/572?
1144
Let z = 350 - 347. Suppose 0 = 5*a - z*g - 385, 5*g - 245 = -3*a + 4*g. What is the lowest common multiple of 30 and a?
240
Calculate the lowest common multiple of ((-810)/(-36))/((-2)/16*-4) and 55.
495
Let m = 13619/50 + -273. Find the common denominator of m and 5 - ((-488)/(-120) + 2).
150
Let j(u) = 659*u + 770. Calculate the lowest common multiple of j(-1) and 3.
111
Let h = -9518 - -133311/14. Let z be (((-16)/(-60))/(-2))/((-2004)/(-334245)). Let w = z + 12/167. What is the common denominator of w and h?
42
Suppose 16*i = 8002 + 11678. What is the common denominator of (-2)/(-4) - (-10)/((-5000)/i) and 82/15?
75
Let j = -21353249/1156646676 + -1/577169. Calculate the common denominator of j and 55/24.
4008
Let u(x) = -x**2 - 40*x + 698. What is the smallest common multiple of u(-53) and 2?
18
Let w = -17469/1384 - 1/346. Suppose -j + 137 = -3*p, -2*j + 2*p + 254 = -0*p. What is the common denominator of j/52 + 24/(-8) and w?
104
Find the common denominator of (2/21)/(345213/25410) and 2/99.
31383
Let b(i) = -6*i**2 + 1. Let a be b(-2). Let x = 41 + a. Suppose 0 = -3*m - 4*o + 42, 3*m = 8*m + 2*o - 42. Calculate the least common multiple of m and x.
18
Let a(r) = 239*r + 955. Calculate the least common multiple of 102 and a(-3).
714
Let y(z) = -4*z**2 - 20*z + 71. Let g be y(3). What is the common denominator of ((6 + 153/g)*-9)/(-1) and -99/10?
50
What is the lowest common multiple of 270 and ((-375)/(-10))/(10/140*35/60)?
2700
Suppose 9*m + 2*n = 12*m - 246, n + 163 = 2*m. What is the least common multiple of -32*((-3)/9 + 16/(-24)) and m?
160
Let q = -1884 - -2298. Calculate the least common multiple of q and 36.
828
Let b(l) = -l**2 + 28*l + 22. Let n be b(28). Suppose -n + 148 = 9*p. Let m = -25 - -39. What is the lowest common multiple of p and m?
14
Calculate the least common multiple of 2014 and 48/(-99) - (-2)/3 - (-18011)/341.
2014
Suppose 32*x - 18*x - 1212 - 482 = 0. Let t = -45 + 56. Calculate the lowest common multiple of t and x.
121
Let t = -4196 + 37825/9. Find the common denominator of t and 36/941.
8469
Let p(w) = w**3 + 6*w**2 - 9*w - 8. Calculate the smallest common multiple of p(-7) and (-25)/2*15576/(-5900).
66
Suppose -1236*y - x = -1235*y - 13, -3*x = 4*y - 47. Calculate the lowest common multiple of y and 14690.
58760
Calculate the common denominator of 95/126 and 12693*6/5184 + -15.
2016
Let d(y) = -y**3 + 18*y**2 - 34*y + 39. Suppose 0*w = 4*w - 32. Calculate the smallest common multiple of (-6*1)/(w/(-4)) and d(16).
21
Let d = -10943/2322 - -170/43. Find the common denominator of -8/57 and d.
1026
Let g(z) = 14*z - 105. Let x be g(15). Suppose 99*a = x*a - 24. Calculate the least common multiple of 56 and a.
56
Let l = 468 + -508. Calculate the common denominator of ((-975)/l)/(27/12) and 61/12.
12
Suppose -5*g - v + 7 = -3*g, v = 5*g. Let r be 4/16*(g - -3)*-16. Calculate the common denominator of -64/21 and 490/r*6/45.
84
Calculate the common denominator of 17945/33450 - 75/125 and 95/48.
10704
Suppose 10*d = 15*d + 4*y - 236, -d + 53 = -5*y. Calculate the common denominator of ((-249)/(-72))/(5/3) and 210/d + (-6)/(-18).
120
Let p = 97 + -150. Let x = -33 - p. Calculate the least common multiple of 8 and x.
40
Suppose 3*g - 5 = 2*d, -5*g + 40 = 5*d - 2*g. Suppose 12 = -4*t, 10*a = 14*a + d*t - 337. Calculate the lowest common multiple of 48 and a.
528
Let f(w) = w**2 + 4*w. Let u(l) = -71*l + 1537. Calculate the lowest common multiple of u(21) and f(-6).
276
Let y(r) = -r - 2. Suppose 0 = 8*n - 6*n - 36. What is the least common multiple of n and y(-32)?
90
Let m = 10 + -7. Let g = 183 + -186. What is the smallest common multiple of (-4)/g*m - (3 + -3) and 19?
76
What is the common denominator of 83/276 and (-2988)/(-414)*11/308?
1932
Let i = 48994/3675 - -2/1225. Suppose -w - 27 = -12. Find the common denominator of (-1244)/120 + 3 + 50/w and i.
30
Suppose 3*q = j + 14, -5*q + 2*j + 12 = 6*j. Let f = 30 + 190. What is the least common multiple of f and q?
220
Let k(o) = 120*o + 5584. What is the least common multiple of 260 and k(-45)?
11960
Let t = 55 + -54. Suppose 1 = 2*x + c - 6, -14 = x - 3*c. What is the lowest common multiple of x and t - 2 - 220/(-20)?
10
Suppose 4*m - 2 - 2 = 0. Let p be ((-3)/4)/(26/(-104)). Suppose p*x = 50 - 20. Calculate the smallest common multiple of m and x.
10
Let c = -20316343/12 - -1695052. Let o = 2022 - c. What is the common denominator of o and 1426/(-60) + 2/(-5)?
12
Let u(k) = 12*k - 122. Let g be u(11). Suppose -952 = 3*i - g*i. What is the lowest common multiple of i and 20?
680
Find the common denominator of ((-15943)/7301)/(6/7) and 11/196.
588
Suppose -d - 2*d = -9. Suppose 0 = -d*p - 4*r + 15, -3*p + 0*r = -5*r - 42. Calculate the lowest common multiple of 57 and p.
171
Let p(k) = -5*k + 8. Let z be ((-140)/15 + 10)/(4/222). Suppose -z*q + 8 = -33*q. What is the smallest common multiple of p(-6) and q?
38
Let l = 306 - 1251/4. Let b = -665/6 - -3632/33. Find the common denominator of b and l.
44
Suppose -36*p + 2315 + 16256 = -2417. What is the lowest common multiple of 231 and p?
12243
Let f be (6*(-1)/(-4))/((-2)/(-4)). Suppose -4*m = 5*t + 41, -5*m + 2*t - f*t = 25. Find the common denominator of (m - (-124)/32)*(-38)/(-2) and -25/14.
56
Suppose 3*o = 4*o - y - 1, -20 = -5*y. Suppose 547 + 263 = -o*l. Find the common denominator of -2*(-20)/16*l/20 and 37/6.
12
Let p = -14463 - -1909151/132. Let z = -1858/5 + 8947/24. What is the common denominator of z and p?
1320
Let x = 14201/40 - 2761/8. What is the common denominator of 58/385 and x?
770
Let w = -875323/2547900 + 15/11324. Find the common denomin