03. Find the common denominator of 81/10 and (24/g)/(o/(-190)).
160
Let i be ((-35986)/(-84) - -1) + 195/455. Let c = i + -21812/51. Let p = 517 + -2049/4. Find the common denominator of c and p.
68
Let r(s) = s**2 + 23*s - 992. What is the lowest common multiple of 39 and r(23)?
858
Let l = -227 - -228. What is the common denominator of (l + 182/4)/(-35) and 49/4?
140
Let b = -145/168 - 619/56. Let c = 144 - 8. Suppose 2*r - c = -4*g, 0*g + 3*g - 2*r - 88 = 0. Calculate the common denominator of g and b.
12
Let b(p) = -3*p**2 + 87*p - 152. Calculate the smallest common multiple of 20 and b(27).
20
Suppose 35*n = 16*n - 342. What is the common denominator of ((-218)/18*-1)/(n/(-27)) and 254/(-20) + 1 + 0?
30
Let o(m) = -m**3 - 8*m**2 - 2*m - 9. Suppose -6*s + 3744 = -42*s. Find the common denominator of ((-1)/(-6))/(s/6396) and o(-8).
4
Let w(b) = -12*b - 74. Let n be w(-5). Let f(o) = o**3 + 11*o**2 - 46*o - 32. Calculate the lowest common multiple of 104 and f(n).
312
Let r = 265 - 259. Let k be 28/(-16) + 2/(-8). Let t = k + r. Calculate the smallest common multiple of t and 20.
20
Let g(m) = -2*m**2 - 186*m + 1605. Calculate the lowest common multiple of g(-100) and 50.
2050
Let s = -937 - -1343. Suppose 108*a - s = 79*a. What is the least common multiple of a and 186?
1302
Suppose -3*h = -3*g - 9, 0 = -5*g + h - 16 + 9. Let r(w) = -15*w - 8. What is the lowest common multiple of r(g) and 10?
70
Suppose 1137 = 8*t - 1103. Suppose 6*n = 13*n - t. Suppose -l + 33 = m, 5*m - 4*l - 196 = -n. Calculate the least common multiple of m and 16.
32
Let l(z) = -38*z + z**2 + 6 + 34*z + 8*z. Calculate the smallest common multiple of l(6) and 54.
594
Calculate the common denominator of (9/(-54))/((-17945)/(-6956)) and -91/45.
4365
Let p = -278406 + 453523444/1629. What is the common denominator of p and 2/1267?
11403
Suppose 18*h + 209 + 439 = 0. What is the common denominator of -137/12 and (-15)/(-38)*(-64)/h?
228
Let o = 4862 - 398677/82. Find the common denominator of o and 59/574.
574
Let b = 336 - 589. Let i = b + 255. What is the lowest common multiple of 168 and i?
168
Let n = -269 - -149. Calculate the common denominator of ((-3)/(-112))/(2/(-132)) and 38*27/n - 250/(-200).
280
Let d be ((-22)/(-18) - 1) + (-20828)/90. Let v = d + 4647/20. What is the common denominator of -1 - (-15)/2 - 1 and v?
20
Let y = 248761/18 - 13819. What is the common denominator of 23/4749 and y?
28494
Let s(y) = 9*y + 39. Let w be s(-5). Let x(m) = -250*m**2 + 12*m - 3. Let b be x(w). Let p = b + 145255/16. Find the common denominator of 5/8 and p.
16
Suppose -y - 4309 = -570. Let m be y/(-5) + (-12)/(-4) + -3. Let g = 1519/2 - m. Calculate the common denominator of -89/88 and g.
440
Let v be 182468/280 + -3 - 8/(-20). Let u = -1285/2 + v. Find the common denominator of -16/13 and u.
91
Let u(i) = -i**2 + 16. Suppose g = -7*g + 24. Suppose 6 = -2*l - 0*l, 3*l = 2*y - 69. What is the least common multiple of u(g) and y?
210
Let l be 0/((-8)/(-2)) - (-2 + -56). Let q = -50 + l. What is the smallest common multiple of 44 and (31/(-62))/((-1)/q)?
44
Let t = 133 - 79. Let s = t - 34. Suppose r - 3*f = 13, 3*f = 8*r - 3*r - 29. What is the smallest common multiple of s and r?
20
Let j(n) = n**3 - 11*n**2 + 18*n + 5. Let f be j(8). Let w = f + 58. What is the lowest common multiple of 39 and w?
195
Let z be (7596730/780)/(2/(-4)). Let u = z + 19480. Find the common denominator of u and 83/21.
273
Let x = 565556/27 - 20944. Calculate the common denominator of -1 - (-63)/45 - 1527/1080 and x.
216
Let m(t) = t**3 + 6*t**2 - t - 7. Let f be m(-7). Let r = 134 + f. Suppose 50 = 5*c + 2*g, 2*c = -3*c + 5*g + r. What is the lowest common multiple of c and 8?
24
Suppose 0 = 2078*i - 2135*i + 22059. What is the lowest common multiple of 516 and i?
1548
Suppose 4*i - 8*i - 4*s + 24 = 0, 10 = 2*s. Let c(m) = -2*m + 3. What is the least common multiple of 3/1 + 1 + 0 and c(i)?
4
Suppose -s + 7*y + 36 = 3*y, 3*s - 2*y - 78 = 0. Suppose 586 + 134 = s*w. What is the least common multiple of w and (-3)/(0 - 2/12)?
90
Suppose 19*y - 40600 = -31*y. Calculate the lowest common multiple of y and 4.
812
Let k be (650/90)/((32/(-3084))/2). Let g = 1397 + k. Find the common denominator of g and 77/6.
12
Let l = -28042/69 - -3205476/7889. What is the common denominator of 143/1176 and l?
8232
Let f be 0 + (-2129449)/(-1629285) + (-6)/15. Let z = f - 295/263. Calculate the common denominator of 5/11 and z.
1947
Let c = -3801 - -4035. What is the smallest common multiple of c and 51?
3978
Let g be -62 - -1 - (12 - 18). Let s = -25 - g. What is the smallest common multiple of s and 40?
120
Suppose -51*h = -16*h - 350. Suppose 26*c = 21*c + 10, -2*y + 4*c + h = 0. What is the lowest common multiple of y and 27?
27
Suppose 4*b - 2*u - 82 = 0, 4*b - 187*u - 87 = -190*u. What is the lowest common multiple of 210 and b?
210
Let p = 360/343 - 148439/143717. Let u = -17032/8799 - p. What is the common denominator of u and 143/6?
42
Let r = 1978/7 - 37953/133. Calculate the common denominator of r and ((-284)/6)/(-1 + 7).
171
Let p = 149 + -132. Let l = 3061/28 - 467/4. Find the common denominator of l and p/((-510)/36)*(-58)/(-8).
70
Let n be 1856/8 - (-4 + 1). Let a = n + -225. Calculate the smallest common multiple of a and 32.
160
Suppose -4*q + 15 = 3. Suppose 2 = 4*g - 4*a - 2, -q*a = 5*g - 21. What is the smallest common multiple of 39 and g?
39
Suppose -48*v - 148*v = -23520. Calculate the smallest common multiple of v and 30.
120
Suppose -240*j = -61*j - 1790. What is the smallest common multiple of j and 13332?
66660
Let g(a) = a**2 - 6*a - 29. Let n(c) = -13*c**2 - 91*c + 10. Let p be n(-7). Calculate the lowest common multiple of 4 and g(p).
44
Let n = -2156 - 2025. Let v = 229939/55 + n. Calculate the common denominator of 36/55 and v.
55
Suppose -5*i - 6781 = -2*l, -2*l - 2718 = 17*i - 15*i. Let j = i + 10769/8. Let n = -10/393 - -4463/5502. Find the common denominator of j and n.
56
Suppose 0 = -6*a - 10 - 8. Suppose 3*v - 3*k + 147 = 0, -3*v - 157 = -k - 0*k. Let b = a - v. Calculate the lowest common multiple of 6 and b.
102
Calculate the lowest common multiple of 4 and 17 + -2 - (2 + -1 + 6).
8
Let u = -3643/430 + -11/86. Calculate the common denominator of u and (-4)/10 - (-85)/25 - (-162)/(-45).
5
Let z(i) = 5*i**2 - 60*i - 347. What is the least common multiple of 18 and z(23)?
918
Suppose -2*h + 4*q = -14, 0*h - h + 9 = -4*q. Suppose 0 = -5*j + 4*s + 462, -192 = -2*j + h*s - s. Calculate the least common multiple of j and 12.
180
Suppose 2771 = -269*y + 286*y. What is the least common multiple of 56 and y?
9128
Suppose -40 = 4*i + 5*k, 4*i = -k - 22 - 2. Let f be ((-4)/i)/((-1)/(11 + -6)). Let r = f - -12. Calculate the lowest common multiple of r and 2.
8
Suppose -g = -3*a - 1579 + 9920, -a + 2785 = 2*g. Let p = -33413/12 + a. Calculate the common denominator of p and -43/356.
1068
Suppose 0 = -4*l - 3*o + 3287, -4*l = -4*o - 3416 + 108. Calculate the least common multiple of l and 44.
9064
Suppose 0 = -7*f + 703 - 115. What is the least common multiple of 20 and (-7*(-6)/f)/((-1)/(-676))?
3380
Suppose -t = -2*m - 61, -4*t + 3*t + m = -58. Let a = t - 53. Suppose 17 + 5 = 3*c - a*l, -c - 2 = -3*l. Calculate the lowest common multiple of 18 and c.
90
Suppose -a + 1 = 0, 0 = 2*z + z + 5*a + 1. What is the lowest common multiple of (-1)/(-1) - (-6 - z) and 71?
355
Let y be (0 - 3 - -3)/(-1). Suppose 5*u = -5*x + 50, y = -3*u + 6*u - 5*x - 14. Suppose -u*k + 4 = -7*k. Calculate the least common multiple of 24 and k.
24
Let x be ((-441)/259)/((-3)/(-106425)). Let w = x + 1088868015/18019. Let c = -3/974 + w. Find the common denominator of c and -89/30.
30
Suppose -13*g + 202 = 46. Calculate the lowest common multiple of ((-24)/9)/(2/(-18)) and g.
24
Let x = 1/113956 + -3589679/7407140. Calculate the common denominator of -9/10 and x.
130
Let b = 141 + -132. Let w(m) = 55*m + 284. What is the lowest common multiple of b and w(-5)?
9
Let b = 5963 - 2858. Let r = b + -46652/15. Calculate the common denominator of r and 79/132.
660
Suppose 3*j - 15 = 0, 2*s - 8*j = -5*j + 1. Calculate the smallest common multiple of 12 - s*(-6)/12 and 30.
240
Suppose -6 - 12 = -y - 4*o, y + 3*o = 18. Cal