2742/6951. Let q = o + d. What is the common denominator of 31/15 and q?
30
Let k(h) = -12*h - 154. Let m be k(0). What is the common denominator of 27/1054 and (-10)/(-2) + (1169/m - -3)?
11594
Let o = 117437/18 + -6526. Let k be (24/16)/(-4 - 63/(-16)). What is the common denominator of (-15)/120 + 1/k and o?
18
Let k = -312265/27 - -11564. Calculate the common denominator of k and -22 - -28 - 73/36.
108
Suppose -5*m - 3*c - 4545 = 0, -937 = m - 10*c + 5*c. Let g = 84843/2 + -43379. Let u = m - g. Find the common denominator of u and 23/78.
78
Suppose 3*w = -u + 10522, -38*u + 43*u = -3*w + 10538. What is the least common multiple of w and 4?
7012
Suppose -10 = -q + 6*q. Let s(z) = z**3 - 18*z**2 + 33*z - 24. Let k be s(16). Calculate the common denominator of -37/9 and (-330)/k - q/8.
18
Let q = 30 + -10. Suppose -a + 38 = -2*c, 5*a + 5*c - 58 - 117 = 0. What is the smallest common multiple of a and q?
180
Let u(g) = -163*g + 4893. Calculate the smallest common multiple of 91 and u(30).
273
Let v(s) = 32*s - 2490. What is the least common multiple of v(78) and 181?
1086
Let a(k) = k**2 + 9*k + 10. Let o be a(-8). Let f be (-34)/5 + 44/55. What is the smallest common multiple of 24/18*((-147)/f - o) and 21?
210
Let k = -1893351 - -4396360895/2322. What is the common denominator of k and 83/602?
16254
Let a = -26 + 20. Let s be (-6)/a + (-359)/24. Let d = -40/3 - s. Calculate the common denominator of -59/3 and d.
24
Let m = 112 - 49. Let l = 35 - m. Find the common denominator of 91/6 and 2469/210 - (-3 - 80/l).
30
Suppose 0 = 5*v - 2*a + 190, -2*v = -5*a + 4*a + 77. Calculate the common denominator of 73/70 and 2/v*(-384)/(-42).
630
Let i(y) = 3*y - 24. Let u be i(5). Calculate the smallest common multiple of u/(36/(-8)) - -4 and 72.
72
Let s = 123 + -120. What is the smallest common multiple of 3 + (2 - s/(15/(-175))) and 88?
440
Let j = 218661/16 + -13661. Find the common denominator of j and -79/372.
1488
Suppose 5*z - 14586 = -9*z + 3*z. What is the least common multiple of z and 714?
9282
Let i be (-8)/(-88) + 264930/55. Let v = -67537/14 + i. What is the common denominator of -91/8 and v?
56
Let q = -97 + -194. Let z = -2773/506 - -79/23. Calculate the common denominator of z and ((-5)/(-20))/(42/q).
616
Let d = 14 - 10. Let t = 3947 - 3724. Calculate the smallest common multiple of d and t.
892
Let s(z) = 2*z**3 - z**2 + 67*z + 37. What is the least common multiple of 15 and s(11)?
3315
Let l = -1744/77 - 4/231. Let w be (297/(-132))/(3/(-12176)). Let x = -109517/12 + w. Calculate the common denominator of x and l.
12
Calculate the lowest common multiple of 32 and ((-6)/4)/(288/(-45888)).
7648
Calculate the common denominator of -103/96 and (-393)/6*131/4716.
288
Let o = 86002/9 - 169423679/17730. Calculate the common denominator of o and -119/1182.
5910
What is the smallest common multiple of 28/(-6)*(-17)/(-102)*-9 + 724 and 344?
5848
Let h = -3826 + 3828. What is the least common multiple of 1715 and h?
3430
Suppose -127*s - 8 = -125*s. Calculate the common denominator of (-321)/s*(-42)/(-315) and ((-2)/14)/(6/(-7)).
30
Let x(r) = 37*r**2 - 70*r + 4. What is the lowest common multiple of x(2) and 2088?
2088
Suppose -3*x = -2*x - 23. Suppose -s + 5*u - 24 = 0, -8*s + 4*s - 3*u = -42. What is the smallest common multiple of s and x?
138
Calculate the common denominator of 12 and (8192/36096)/(28/(-18)).
329
Suppose 13 = -2*d + 4*l + 3, 0 = -4*d + 3*l - 40. Let g(u) = -5*u - 61. Calculate the lowest common multiple of 86 and g(d).
172
Let x be 6/((-2772)/48606) - 2. Let v = x - -1250/11. Find the common denominator of 20/9 and v.
63
Let q(l) = 5*l**2 - 61*l + 115. What is the smallest common multiple of q(10) and 25?
25
Calculate the common denominator of (261/(-4))/(-3) - 177/118 and -25/58.
116
Let u = -19032 + 19102. What is the lowest common multiple of u and 1440?
10080
Let u(f) = 2*f**2 + f - 9. Let n be u(-7). Let c = 528 - 609. Let t = c + n. Calculate the least common multiple of 2 and t.
2
Let c be (-5 + 4 + 0)*-4. Let r = c - -12. Let f = r - 14. What is the smallest common multiple of f and 31?
62
Let g be 19035/(-18) - (4 + -3)/(-1). Let q = g + 1097. Find the common denominator of -57/118 and q.
118
Let w = -48 - -41. Find the common denominator of -13/16 and (w/5)/(2356/(-665)).
496
Let s = -22858/2709 + -2/301. What is the common denominator of -13/51 and s?
153
Let f = 161 + -142. What is the smallest common multiple of 2/(-8) - ((-15390)/40)/f and 112?
560
Suppose 20*g - 16*g = -32. Calculate the common denominator of (-20)/(-480)*(204/g + 3) and -79/44.
176
Let d(r) = r**2 - r - 229. Calculate the smallest common multiple of 2068 and d(16).
2068
Suppose -2*n + 308 - 102 = -2*d, 3*n - 303 = -3*d. What is the smallest common multiple of 4 and n?
204
Suppose -4160 = 239*j - 271*j. What is the lowest common multiple of j and 16?
1040
Let v = 42 + -15. Let x = v + -5. Let r = -428 + 450. What is the lowest common multiple of x and r?
22
Let v = -160863 + 161023. What is the least common multiple of v and -2*-5*4/2?
160
Let z(v) = -16*v + 21. Let u be z(2). Let k(w) = w**2 + w - 62. Calculate the least common multiple of 33 and k(u).
528
Suppose 2*c = -5*f + 95, 4*c - f - 228 = -115. Calculate the smallest common multiple of c and 3290.
9870
Let o(d) = -d + 19. What is the least common multiple of 70 and o(11)?
280
Let m = 2/10811 - 940573/86488. What is the common denominator of (78/(-30))/(14 - (-11910)/(-825)) and m?
24
Let x(r) = -r**2 + 20*r - 79. Let t be x(6). Calculate the common denominator of 101/2 and 1113/(-240) - (100/t)/(-5).
80
Suppose -101088 = -120*s - 286*s + 82*s. What is the smallest common multiple of 390 and s?
1560
Find the common denominator of -17/10 and -5 + (644248/(-1452))/(268/(-3)).
7370
Let g be 0/1 + (-6)/(-2). Suppose -92*z = -88*z - 32. Suppose z + 10 = g*p. Calculate the least common multiple of 11 and p.
66
Let a = -143 + 146. Suppose 0*h - a*t = 2*h - 58, -2*t = 3*h - 82. Find the common denominator of 65/h*(-5)/(-2) and -59/9.
36
What is the common denominator of (2884/(-23 - -9))/(-20)*10/(-92) and -149/138?
276
Let n = -22741 + 23083. What is the lowest common multiple of n and 18?
342
Let o = 31276733/517736450 + -1/422642. Find the common denominator of o and -39/2450.
2450
Let k be 17/(136/(-24)) - -9*1. Let q(v) = -v**3 + 7*v**2 - 3*v + 42. What is the least common multiple of 18 and q(k)?
180
Suppose -5*p = -3*a + 750, 714 = 3*a + 14*p - 13*p. Calculate the lowest common multiple of 360 and a.
720
Let a(d) = 5*d**2 + 3*d - 12. Let k be a(2). What is the common denominator of ((-3)/(-70))/(k/1813) and -99/20?
20
Let j = -1/3053 + 88541/12212. Let z = -1448 - -5823/4. Find the common denominator of z and j.
4
Let c(l) = -l**3 + 5*l**2 - 14*l + 36. Let i be c(3). Calculate the common denominator of -43/18 and (-123)/51 + 6/i.
306
What is the smallest common multiple of ((2 + 13)*(-94)/(-423))/(2/195) and 325?
325
What is the common denominator of 10/71 and (-98)/(-245) + 22/230?
8165
Let o = 74986 - 11622787/155. Find the common denominator of -3/155 and o.
155
Let o(a) be the second derivative of a**5/10 - 2*a**4/3 + 4*a**3/3 - 6*a**2 + 25*a. What is the lowest common multiple of (-16)/(-3) - (-6)/9 and o(4)?
60
Let v be (15/(-2))/((-6)/56). Suppose -297 = -4*a - 3*g, -313 = -3*a - 3*g - 94. Let n = a - v. Calculate the lowest common multiple of n and 10.
40
What is the common denominator of -121/24 and (-98917650)/(-12378720) + (-7 - 1)?
33456
Calculate the common denominator of 459/(-10206) + 8/28 and 149/126.
378
Let j(k) = 33*k**3 - 2*k - 1. Let z be j(-1). Let w = z + 351/10. What is the common denominator of w and ((6/(-63))/(5/(-15)))/1?
70
Let h = -24 + 82. Let n(w) = w**2 - 7*w - 14. Suppose -2*o = -3*d - 5, -2*o - 3*d + 0*d - 13 = 0. Calculate the smallest common multiple of h and n(o).
116
Let r(t) = 5*t**2 - 32*t - 42. What is the smallest common multiple of r(14) and 280?
1960
Suppose 30*a = 27*a + 6. What is the smallest common multiple of 34 and 0/a + -1 - 169/(-13)?
204
Suppose 186*q - 38*q = 71484. What is the least common multiple of q and 184?
3864
Let n = -51868/5 + 3941573/380. Calculate the common denominator of n and -33/932.
17708
Let z be 8*((-3475)