15
Let z be (-31)/2*(-2)/1. Let f = -23 + z. Calculate the common denominator of 12/f*58/(-72) and -83/2.
24
Suppose 3*g - 40 = -g. Suppose -2*n + 5*k = -27, 2*n + 2330*k = 2331*k + 31. What is the least common multiple of g and n?
80
Let l = 23755 + -22099. What is the lowest common multiple of l and 2?
1656
Let z = 2/14113 - -1030221/197582. Calculate the common denominator of z and -173/1344.
1344
Let r(f) = f**2 - 8*f - 9. Let x = 58 - 49. Let a be r(x). Find the common denominator of (a/1 - -2) + (-105)/(-112) and 83/14.
112
Let t = -137828901/3280 - -42021. What is the common denominator of t and -52/45?
29520
Let u be 2 + ((-1154790045)/578033915)/1. Let k = u - -2/86081. Let m = k + -132969/5372. What is the common denominator of -75/8 and m?
8
Let i be (1 - 0)*37/1*295. Calculate the least common multiple of 8 and (-4)/10*i/(-74).
472
Suppose 3*m - 3*g = 117, -146 = -4*m - m - 2*g. Calculate the lowest common multiple of 740 and m.
5920
Let g be ((-6)/8226*-15)/(4/(-6)). Let t = g + -32619/17366. Let z = t - 44/57. What is the common denominator of z and -73/8?
24
Suppose -6*o - 2 = -5*o. Let y be o/7*(-30)/(-6525). Let u = y - -21997/4060. Find the common denominator of -47/42 and u.
84
Let r = -5 - -3. Calculate the common denominator of (3 - 212/(-16))*r/(-30) and -71/230.
1380
Let f = -149776492019893009433 + 4109866940555263638586471/27440. Let k = -17150165466 - f. Let u = 4/1715 - k. Calculate the common denominator of 36/11 and u.
176
What is the common denominator of -19/154 and (-13 - 13273/(-754))*2/(-42)?
4466
Let w = -27 - 77. Let d = -11548/5 + 2302. Find the common denominator of (6/w)/(8/(-544)) and d.
65
Let d = -275 + 284. Find the common denominator of 448/(-264)*d/(-30) and 20/77.
385
Suppose -13*h = 8 - 60. Suppose 2*w + 34 = -4*o - 20, h*o + w + 51 = 0. What is the common denominator of 101/70 and (-335)/(-2)*o/60?
70
Let a(y) = 48*y**2 + 81*y + 83. Calculate the lowest common multiple of a(-1) and 495/18*8/10.
550
Let o = 26097 - 783079/30. Suppose -5*q = -4*l - 90, -l - 2*q = 3*q + 10. Find the common denominator of o and ((-9)/10)/(l/25).
120
Let v be (2*(-4)/(-14))/((-2)/(-7)). Let q(b) = 16 + 2*b**3 - b**v + 0*b**3 + 14 - 26*b + 28*b. Calculate the smallest common multiple of 12 and q(0).
60
Let m be (25/(-1470))/((-2)/(-6)). Let y = m + -4581/490. What is the common denominator of y and 11/136?
680
Suppose 4608 = 72*v + 6*v - 14*v. What is the least common multiple of v and 7560?
7560
Let j(i) = 92*i + 312. Suppose -3*v + 5*n = -151, 3*v + 3*n + 11 = 122. Calculate the smallest common multiple of v and j(-3).
252
Let y be (-16)/(-4) + 2 + -2. Suppose -y*t + 5*z + 113 = -0*t, -3*t = -4*z - 86. Let q(c) = 13*c - 590. What is the least common multiple of t and q(46)?
88
Suppose -2*v - 8 = 0, -4*w + 9*w + v - 26 = 0. Suppose -d = -w*d + 3*x + 65, -55 = -4*d + 3*x. What is the lowest common multiple of 1 and d?
10
Let p = -22622/7 - -3238. Let s = -7636 + 358870/47. Find the common denominator of p and s.
329
What is the common denominator of 8 + -11 - (-1 + (-5474)/2640) and -151/1320?
1320
Calculate the least common multiple of 5434 and ((-14 - 7) + 515)*2.
10868
Let g = 4401 + -4150127/943. Find the common denominator of -59/15 and g.
14145
Let c = 6 + -4. What is the smallest common multiple of c and -9 + 7*(3 + 39 + -9)?
222
Let p be (-10)/3*(-1998)/288. Let t = p + -631/24. Find the common denominator of t and 19/9.
18
Let g(h) = -630*h + 42. Let l be g(11). Calculate the common denominator of 6/(-7) - 6355/l and 77/2.
168
Let m(x) = x**3 + 9*x**2 - x + 15. Let l be m(-9). What is the smallest common multiple of 56 and 3032/l + (-3)/9?
504
Let n = 75 + -55. Let h be (78/n + (-8)/2)*77941. Let y = h - -7801. Calculate the common denominator of -27/2 and y.
10
Let z = 8/289 - -10091/867. Calculate the common denominator of z and -73/303.
303
Let d be 3/(1 - (-1)/(-4)). Suppose 0 = d*k + 4*f - 40, -4*f = 4*k - k - 28. Let q = -21061 - -21065. What is the lowest common multiple of k and q?
12
Calculate the common denominator of 1 + (-8275)/2640 + 2 and 79/968.
5808
Let o = -416548943/870 + 478792. Calculate the common denominator of o and -31/18.
2610
What is the common denominator of (492/(-20))/(-15 + 9) and -103/646?
3230
Let k = 19466585/58586 + -5/5326. Let i = -332 + k. What is the common denominator of i and 14/9?
99
Calculate the smallest common multiple of 10/6 - 8579/(-69) and 35.
630
Let h = -2360/9 + 30703/117. Calculate the common denominator of 82/105 and h.
4095
Let t = 34168/248655 - 52/363. Calculate the common denominator of -101/30 and t.
4110
Let l = -71346 - -8133559/114. Find the common denominator of l and -125/714.
13566
Suppose 49*a - 103*a + 283245 = 61*a. Calculate the lowest common multiple of 3 and a.
2463
Let f = 4529 + -258124/57. Calculate the common denominator of 13/306 and f.
5814
Find the common denominator of 16/15 and (-30)/50 + (-2495)/(-3825).
765
Suppose 8*j - 254 = -62. What is the lowest common multiple of 146 and j + (-19)/(-19) + (-7 - -2)?
1460
Let m(s) = s + 7. Let i be m(-5). Let o = -63047/21730 + 436/265. Find the common denominator of (-50)/(-55)*i/8 and o.
902
Suppose -8*t - 200 = -3*t. Let i = -233/55 + 1011/110. Find the common denominator of i and (-2)/10 - (-276)/t.
110
Let s = -11935 - -12019. Calculate the least common multiple of 288 and s.
2016
Let x be (1866/29 - -2)/(-2 - -4). Let s = x - 69747/2030. What is the common denominator of -48/35 and s?
70
Find the common denominator of (186/(-3267))/(-1) - ((-224)/(-36) + -6) and 68/231.
2541
Let u(t) = -157*t + 1418. What is the smallest common multiple of ((-12)/(-10))/((-9)/(-150)) and u(9)?
20
Let i be (-13)/(65/21760) + 3. Calculate the common denominator of i/715 - -7 - (-4)/(-26) and 23/10.
110
Let n = 5/13 + 473/156. Calculate the common denominator of ((-75)/12*-2)/2 and n.
12
Let b be ((-3)/((-9)/3))/((-3)/51). Let x(m) = -2*m - 30. Calculate the lowest common multiple of x(b) and 108.
108
Suppose 30*o = 37*o - 287. Suppose -5*r + o = 3*t, 5 = t - 2*r - 5. What is the lowest common multiple of t and 12?
12
Suppose -32358 = -2*g - 2806. Let t = 206751/14 - g. Find the common denominator of (-716)/(-624) - 2 - (-2 + 2) and t.
1092
Suppose -3*f + 7*f + 3204 = 0. Let u = -16007/20 - f. What is the common denominator of u and ((-12)/30)/(84/(-1605))?
140
Let r(o) = -6*o**2 + 79*o**3 - 9*o**2 + 6*o + 10*o**2 - 4 + 15*o**3. Let m be r(3). Let u = 15139/6 - m. What is the common denominator of 43 and u?
6
Suppose 0 = -23*g + 13*g + 130. Suppose g*c - 26*c = -1040. Calculate the lowest common multiple of c and 64.
320
Let z = 122 + -120. Suppose -z*r = -7*r + 150. Calculate the smallest common multiple of r and 10.
30
Let b = -83 - -137. Suppose -4*m - b = -82. Calculate the least common multiple of 9 and m.
63
Suppose 17*z - 41230 = -2*z. Find the common denominator of -41/8 and 2/30*(z/(-28) + 4).
40
Let f = -1033768/1262415 - 2/12023. Calculate the common denominator of 86/225 and f.
1575
Calculate the common denominator of (-6 + 4)*((-2727)/(-24))/9 and -11/2350.
4700
Suppose -3*i - w - 231 = 2*w, -4*i - w = 299. Let o = i + 68. Find the common denominator of ((-5)/(-50))/(o/185 - 0) and 32/33.
132
Suppose -576 = -0*n + 12*n. Calculate the lowest common multiple of 8 and (n/132)/(4/(-22)).
8
Let x = -6792153/217 + 31300. Calculate the common denominator of 75/2 and x.
434
Let l = 36 + -33. Suppose 4*z = 4*j - 92, -3*z + 0*j = l*j + 93. Find the common denominator of (2 - (-24)/z)/((-8)/(-87)) and 19/10.
60
Suppose 5*q + 450 = 4*n, -2*q = 3*q + 10. Suppose -6*r + 3*u = -63, -44*u = -3*r - 46*u + 35. What is the lowest common multiple of r and n?
110
Let w = -258607/30 - -8624. What is the common denominator of w and 1/42?
210
Suppose 4*k - 2*k = -2*x + 38, 4*x - k = 81. Calculate the common denominator of (-320)/(-2)*(146/(-30) - -5) and (-7)/35 - (-218)/x.
30
Let a(i) = 9*i - 44. Let s be a(5). Calculate the common denominator of (280/162)/s*(-60)/40 and 13/36.
108
Suppose 121*d - 116*d - 365 = 0. Suppose n + 0*n = 5*j + 9, -2*n = j - d. Calculate the lowest common multiple of n and 10.
170
Let u(a) = -a**2 - 15*a + 43. Let g be u(-17). Find the common denominator of (-564)/(-112)*(-2)/g - -3 a