/2 and ((-3566)/595 + (-1 - -7))/(198/(-77))?
1530
Let n(r) = 257*r - 90. Let f be n(12). Let h = -12043/4 + f. What is the common denominator of h and -81/44?
44
Let f(n) = -n**3 + 3*n**2 - 11. Let q be f(9). Let a = -328 - q. Suppose 14*g - a = -57. Calculate the lowest common multiple of g and 20.
40
Let h = -3340 + 13457/4. Let o be 4*(1428/(-32))/((-3)/2). Find the common denominator of ((-15)/21)/((-7)/(o/(-4))) and h.
28
Calculate the common denominator of 12/48800*-9830 + (-1)/(4/(-10)) and -157/3660.
3660
Suppose -777*j + 850*j - 44861 = 93839. What is the lowest common multiple of j and 3990?
39900
Let t(c) = -4*c**2 - 57*c + 56. Let n be t(1). Calculate the least common multiple of 36 and (0/5 - -1)*n - -107.
612
Let k(r) = r**3 + 12*r**2 + 10*r - 6. Let v be k(-11). Suppose v*p - 10*p = -25. Calculate the common denominator of -45/2 and (38/p)/((-128)/(-400)).
4
Let f = -5474/435 + 16/87. Let q = 62 + -12. Find the common denominator of f and q/35*39/(-36).
210
Find the common denominator of -7/54 and 4/30*(-402)/(-9)*4/(-32).
270
Suppose -3*s - 42 = -p - s, -2*p + 3*s + 89 = 0. What is the least common multiple of 56 and 112/(-10)*(-130)/p?
56
Let j(m) = m - 17. Let d be j(-3). Calculate the smallest common multiple of -45*((-2)/6)/(d/(-60)) and 20.
180
Let s = -488402 - -533334911/1092. What is the common denominator of s and 61/8?
2184
Let n = -95 - -97. Calculate the common denominator of -143/18 and 1 + (-316)/240 + n + -3.
180
Let g = -159171/4 + 39262. Let r = g - -520. What is the common denominator of r and -91/2?
4
Suppose 616*q + 210 - 826 = 0. Calculate the smallest common multiple of q and 921.
921
Let g(k) be the first derivative of -k**2 + 28*k - 50. What is the lowest common multiple of g(2) and 30?
120
Let t = 3/2792 + -36407/103304. Find the common denominator of -52/407 and t.
407
Suppose 0 = c + 5 - 1. Calculate the common denominator of (48/(-40))/((-4)/(-18)) and (9/(45/(-2)))/(c/55).
10
Let v = -21433 + 385693/18. Let c be (-195)/((-2)/2) - (-120)/(-24). Find the common denominator of (90 - 91)/(16/c) and v.
72
Suppose 837 = 5*k - 3*c, 3*k - 9395 + 8890 = -c. Let w(x) = -x**3 - 4*x**2 - x - 6. Calculate the smallest common multiple of w(-5) and k.
168
Let n = 1537 + -882. Calculate the smallest common multiple of n and 1310.
1310
Suppose -33 = -p - 0*p. Calculate the smallest common multiple of p and 3149/268 + (-2)/(-8).
132
Let r = 4924 + -39463/8. Calculate the common denominator of r and -73/180.
360
Let k(n) = -n**3 + 11*n**2 + 3*n - 11. Let j(y) = -150*y + 757. What is the smallest common multiple of j(5) and k(11)?
154
Calculate the common denominator of (-18)/(-5535)*((-1572)/(-16) - 3) and 59/287.
2870
Let i = -50016282/725 - -68988. Find the common denominator of -52/203 and i.
5075
Let l(g) = -3*g**3 - 37*g**2 + 38*g + 587. What is the least common multiple of 120 and l(-14)?
8280
Let b be ((-4)/(-10) + 92/(-80))*-32. Suppose 34*x = b*x + 480. What is the smallest common multiple of x and 12?
48
Suppose 24*q - 126 - 186 = 0. Calculate the smallest common multiple of q and 417.
5421
Let h(a) = 2950*a + 1264. Calculate the least common multiple of h(3) and 10.
50570
Let v = 614 + -624. Let g(j) = -j**2 - 9*j + 16. What is the smallest common multiple of g(v) and 63?
126
Suppose 3*d + 0*d + 74414295 = 0. Let m be ((-1)/5)/((-2073708)/d). Let k = m - 3/5486. Find the common denominator of k and 63/10.
140
Let p = -1376 - -13791/10. Let b = 4393/129 + -2398993/70950. Calculate the common denominator of b and p.
550
Let o = 223 - 130. Suppose s = o - 119. Calculate the common denominator of s and -12/83.
83
Let r = 4762338305/42 - 113381451. Let m = r + -7558. What is the common denominator of m and -55/26?
546
Suppose 625 - 66 = 5*y - 3*d, y - 4*d = 122. Calculate the common denominator of 8/44 + (-2165)/y and 16/56 - (-306)/154.
22
What is the lowest common multiple of -1*15/10*2 - (6 - 285) and 66?
3036
Let x be (10 - -6)*(1 + 0). Suppose x = 3*n + 133. Let w = n - -43. What is the lowest common multiple of w and 22?
44
Let u(b) = -2*b + 49. Let o be u(22). Suppose -m - 4*l - 7 = -56, -85 = -2*m + o*l. Calculate the lowest common multiple of m and 40.
360
Let d(u) = -3*u - 25. Let i be d(-3). What is the least common multiple of 310 and i/(-7)*(-5 + 68/8)?
1240
Calculate the common denominator of (118/(-16))/((-15249)/1768) and 41/460.
1380
Suppose -8 = 2*g - 64. Suppose -72*i - k + 6 = -71*i, -4*i + 18 = k. Calculate the smallest common multiple of i and g.
28
What is the common denominator of 143/280 and 127/(-2667)*207/24?
280
Suppose -50*t = -47*t - 45. Calculate the least common multiple of 159 and t.
795
Let a = -1/374 - -7762/561. Find the common denominator of -27/41 and a.
246
Let t = -7220827/114 - -63340. What is the common denominator of t and 18 - 3260/180 - 1148/360?
570
Calculate the common denominator of -4/1123 and (-6)/(-28)*-198 + 27*17/1071.
1123
Let f(w) = w**3 + 5*w**2 - 2*w - 3. Let o be f(-6). Let g = -36 - o. Find the common denominator of -46/17 and -47*3/(g/(-3)).
17
Suppose m + 12 - 1 = -5*f, -f = 4*m - 13. What is the common denominator of 76/33 and 1 - m/6 - 230/60?
66
Let h = 3/2143 - 28468/435029. Let c = h + 5179/1624. What is the common denominator of c and -101/16?
16
Find the common denominator of -81/58 and (-268)/(-16)*(2 + 880/(-435)).
174
What is the common denominator of 11116/(-3648) + (-870)/(-261) and 33/19?
304
What is the lowest common multiple of 430 and (8 + (-378)/45)*-1*300?
5160
Calculate the least common multiple of 24 and (-2197)/(-78)*6 + 15.
552
Suppose 61*t - 9540 = 8*t. Calculate the lowest common multiple of t and 36.
180
Suppose -t = -4*t + 18. Let l = t - -3. Suppose a - 5*j = -l, -4*a + 2*j = j - 21. Calculate the lowest common multiple of a and 18.
18
Calculate the common denominator of (-81)/(-36)*15/54 and 9/514.
2056
Let m(f) = 3*f**2 + 8*f - 2. Let j be m(5). Suppose 6*u - j = -83. Let q = 17 - u. Calculate the smallest common multiple of q and 24.
24
Let p = -330 - 0. Calculate the common denominator of (-10)/p*(-51)/(-7) and 3/28.
308
Calculate the common denominator of (-45)/486*348/(-176) and -25/1089.
8712
Suppose -3*t + 469 - 55 = -3*y, -4*y + 258 = 2*t. Calculate the lowest common multiple of 360 and t.
1080
Let r be (40/(-100))/(-2*(-1)/9850). Let m = r + 47219/24. Find the common denominator of 1362/(-990) + 2/(-10) and m.
264
Let c = 13028 + -6478. Let h = c - 39451/6. Calculate the common denominator of 145/36 and h.
36
Let s(y) = 2*y + 1. Let q be s(-1). Find the common denominator of (-1)/3 - (-9)/144*-8 and (q - 165/(-6)) + 4.
6
Let n be (-382*(-1)/4)/((-4)/(-8)). Let u = n + -177. What is the smallest common multiple of u and 38?
266
Let x be 4 + (3 - 2)*0/2. Let z be 4/((-1216)/(-5132)) + x. Let v = z - -64/19. Find the common denominator of -8/9 and v.
36
Let w = 2135977 + -34217649/16. Let d = w - -2623. Calculate the common denominator of (-1606)/(-540) + (-2)/5 and d.
432
Let g = 14 - 10. Calculate the lowest common multiple of g and 1791/36 - 3*5/(-60).
100
Let h be ((-96)/(-1605))/(3/(-315)*3). Let o = 223/3531 + h. Calculate the common denominator of 34/15 and o.
165
Suppose 4*m + 4 = 5*y + 3, 0 = 3*m + 3*y + 21. Let g be 28/112*(-13 + 1). What is the smallest common multiple of 33 and 4 - (g + -13 + m)?
264
Let b be -5 - -8*(3 - 2). Suppose d = b, 3*d + 34 = t + 3. What is the least common multiple of 9 and t?
360
Let a(v) = -v**3 - 8*v**2 - v + 1. Let c be a(-8). Calculate the common denominator of 2/(-4)*102/(-30) and (-2)/(12/(-73))*c/18.
60
Suppose 1046 = -3*b - 5*u + 110, 0 = 4*u. Let d be 6 - (-5007 + (1 - 6)). Calculate the common denominator of d/b - (-1)/3 and 29/20.
20
Suppose 4*k - 25 - 25 = -3*l, k = -l + 17. Calculate the smallest common multiple of (l*8/120)/(2/150) and 29/5 + 2/10.
90
Let c(g) = -8*g**2 + 8*g - 19. Let p be c(2). Calculate the smallest common multiple of (-108)/(-21)*p/(-20)*2 and 356.
3204
Let b = -2982 - -2986. Let g(a) be the first derivative of a**3/3 + 3*a**2/2 - 4*a - 8. Calculate the smallest common multiple of g(-8) and b.
36
Let o = 50 - 24. Let d be (765/30)/(1/2 - 0). Suppose 31 = w - 5*k, -3*k = -3*w + d + 6. What is the smallest common multiple of w and o?
208
Let