20
Let j(k) = 4*k - 30. Let g be j(15). Suppose 27*m - g*m + 108 = 0. Calculate the common denominator of 117/10 and 3 - (-141)/m*1.
60
Let z(j) = 6*j**2 - 15*j + 5. Let r be z(2). Let p be (-1 - -19)/((-2)/14). What is the common denominator of -79/8 and (p/(-56))/(r/14)?
8
Calculate the common denominator of ((-9)/15)/(22/2) and (-1362)/(-4540) - (-157)/(-130).
715
Suppose -281 = -3*p + 247. Suppose -12962 = 217*h - 14264. What is the smallest common multiple of h and p?
528
Let t(n) = 43*n + 190. What is the smallest common multiple of 3 and t(-1)?
147
Let u(l) = 2*l**2 + 19*l + 14. Let y be u(-9). Suppose -3 = b - y*t, 0 = -0*b + b - 2*t. Find the common denominator of (b - 1)/(42/327) and -57/14.
14
Let m = 110053377/1142 - 96369. What is the common denominator of 55/13 and m?
14846
Let q = 34646347/230 + -150636. What is the common denominator of 119/230 and q?
230
Suppose 5*n - 5*h = -1300, -n + 21*h - 18*h - 264 = 0. Let a = -256 - n. Calculate the least common multiple of a and 56.
56
Calculate the smallest common multiple of 267 and (72/168)/((-5)/(-6230)).
534
Suppose 5*y + 78 - 753 = -5*u, 3*u = -4*y + 537. What is the lowest common multiple of y and ((-72)/32)/((-6)/160)?
660
Let r(f) = f**2 + 18*f + 79. Let k be 2/(-8)*(-5 + 9) - 6. Calculate the smallest common multiple of 44 and r(k).
44
Let o(n) = -19*n + 38. Let f be o(5). Find the common denominator of (-4)/f*(22 - 9) and 11/38.
114
Suppose t + 38477917 - 12843942 = 0. Let y = t + 769120759/30. Let d = y + -3382. Find the common denominator of 11/18 and d.
90
Suppose -5*h + 4*i = 16, -3*h - 2*i - 8 = -6*i. What is the common denominator of 174/9 - 1/(-1) and (h/(-10))/(16 - (-80880)/(-5050))?
12
Suppose 2*r - 5*k + 8*k - 147 = 0, 5*k - 157 = -2*r. What is the lowest common multiple of 66 and r?
66
Calculate the least common multiple of 6/13 + (-3880)/130*-3 and 130.
1170
Let p = 221160116/32916377 + -6900/1027. Let s = p + -199677802/288459. Let h = 12799/18 + s. Calculate the common denominator of h and 133/24.
24
Suppose 40*n = 9*n - 12586. Let u = n + 414. Calculate the least common multiple of u and 21.
168
Let c = 51641/10 + -231601/60. Let f(i) = 191*i - 732. Let l be f(-3). Let t = l + c. What is the common denominator of t and -13/10?
60
Calculate the least common multiple of 730 and 1 + (-18)/(10 + -4)*-13.
2920
Suppose -2*b = -s + 36, 4*b + 37 - 93 = -2*s. Let m = -31 + s. Calculate the common denominator of m/5 + (-599)/(-180) and -11/21.
252
Let g = -163 + 796/5. What is the common denominator of -29/231 and g?
1155
Let d(r) = 3*r**2 + 96*r + 762. Calculate the least common multiple of 486 and d(-14).
486
Let r = 258 - 213. What is the least common multiple of 22 and (-10)/r - (-21086)/117?
1980
Suppose -4*s + 5 = -3*s - 4*u, 2*s = 5*u + 13. Let i = 34 - -258. What is the smallest common multiple of i and s?
2628
Let l = -1282 - -78205/61. Let m = l + 179/2562. Find the common denominator of m and -16/175.
1050
What is the common denominator of 85/36 and (-4)/(-42) - ((-709822)/27552 - -26)?
5904
Suppose 8*j + 3 = 9*j - 3*r, -21 = -3*j + 5*r. Suppose 14*p = 17*p - j. What is the lowest common multiple of p and 54?
108
Let v = 2315 - 2287. What is the lowest common multiple of 396 and v?
2772
Let n = -6 + 33. Let h be (1 + (-3)/2)*(-20 - -10). Suppose 0*v = -3*v - 12, 2*u - 40 = -h*v. Calculate the smallest common multiple of u and n.
270
Suppose 0 = -i - w + 8, 2*w + 0*w + 24 = 3*i. Let c = -8 - -13. Suppose -5*m + 25 = 0, -5*a + 75 = -2*m + c. Calculate the least common multiple of a and i.
16
Let w(n) = -n**3 - 44*n**2 + 96*n + 2109. Calculate the lowest common multiple of w(-47) and 6144.
67584
Let u(n) = -n**2 + 29*n + 2. Let a be u(10). Let i be (a/(-75) - -2)/((-144)/60). Let v = -4/15 - i. Find the common denominator of -23/11 and v.
22
Suppose 2*g + 4*b - 32 = 0, 3*g - 28 = 4*b - 6*b. Suppose g*f = 7*f - 7. Calculate the common denominator of (-117)/(-540)*(f - -1) and -59/27.
135
Let f = -1696 - -15302/9. Calculate the common denominator of 15/(-144)*1670/(-175) and f.
504
Let l = 31 - 72. Let x = l - -85. Suppose 11*q = 13*q - x. Calculate the common denominator of q and 41/10.
10
Let n be (86/(-6))/(524/6). Let h = 11779567239/7333533532 + 182/1076561. Let f = n + h. Find the common denominator of f and -39/20.
260
Let s(x) be the third derivative of -22*x**2 + 0 - 1/2*x**3 + 0*x - 13/12*x**4. What is the smallest common multiple of s(-1) and 2?
46
Let b be (-4763247 + 3)*(-6)/(-81). Let m = b + 353771. Let r = m + -942. Find the common denominator of r and -71/9.
9
Let y(c) be the second derivative of 5*c**3/6 + 7*c**2 + 4*c. Let n be y(-3). Find the common denominator of -41/4 and n*4/(-2) - (-845)/(-39).
12
Let j = -615/68 - -74201/8772. Find the common denominator of j and 17/60.
2580
Let u = -15899/3420 - -547/171. Find the common denominator of ((-7)/30)/(2/85) and u.
60
Let f(l) = 5*l**2 + 8 - 257*l + 146*l + 176*l. Calculate the least common multiple of f(-13) and 9.
72
Let b = -2053/198 + 131/18. Find the common denominator of -10/1839 and b.
20229
Calculate the common denominator of ((-8)/(-20) - (-276)/(-160)) + (0 - -1) and 28/295.
2360
Let m = 28337/84800 + -8/1325. What is the common denominator of m and -5/192?
192
Calculate the lowest common multiple of 192/5 - 42/105 and 32.
608
Let y = 2991/3224 + -83/93. Find the common denominator of y and -23/208.
624
Let f be 2314819/(-387) + 2/6. Let a = f + 2368085/396. Calculate the common denominator of 68/18 + 2/(-4) and a.
396
Let w = -142 - -112. Calculate the lowest common multiple of (-36)/w*(1 + 8/12) and 4.
4
Calculate the common denominator of (-256077)/32264 - (6/2 - 11) and 33/109.
872
Suppose 3*s = 2*z + 1, 2*z = -0*z + 5*s + 5. What is the common denominator of ((-1095)/81)/z - 0 and (-169)/(-24) + -58 + 57?
216
Let v be (0 + -2)*23*(-5)/10. Calculate the least common multiple of -3 + (29 - 10/5) and v + -1*(3 - 4).
24
Let p(v) = -10*v + 74. Let b be p(-25). Calculate the common denominator of (13/57)/((-27)/b) and -43/4.
76
Suppose -4*t + 9*t + 58510 = 0. Let m = t + 58693/5. Let y = m - 1912/45. What is the common denominator of 53/27 and y?
27
Let x = -46999/6 + 7856. Calculate the common denominator of (-2)/(-15)*1515/(-12) and x.
6
Let z(p) = -p**3 + 8*p**2 + 3*p + 15. Calculate the lowest common multiple of z(6) and 30.
210
Suppose 5*w - 3*t - 31 = -0*t, 15 = 5*t. Calculate the common denominator of 57/508 and (-38)/w*((-374)/(-99))/17.
4572
Let l be (-27)/45*-10 - -188. Find the common denominator of (-119)/(-340)*l/(-56) and 27/80.
80
Let f(s) = 4*s - 138. Calculate the lowest common multiple of 186 and f(45).
1302
Let w(n) be the first derivative of 3*n**2/2 + 33*n + 95. Let q = -12 - -30. What is the lowest common multiple of q and w(-5)?
18
Let c be ((-60)/3)/(-2) - -1. Suppose 5*y - 170 = -3*n, -8*n = -c*n + 3*y + 186. Calculate the lowest common multiple of n and 6.
60
Let x be (172/2)/(2/(-1)). Let h = x - -64. Suppose 0 = 3*o + 9 - 3, 0 = -5*g - 3*o + 19. Calculate the smallest common multiple of h and g.
105
Let s be (4/6)/(67/3). Let f = s - 1823/469. Let u = -26/851 + -9283/2553. Find the common denominator of u and f.
21
Suppose -3*q = -5*n + 421, 11 - 100 = -n + 3*q. Let v(f) = -f**2 - 7*f - 6. Calculate the least common multiple of -1 + (n + -3)/5 and v(-4).
30
Let j be (861054/(-33))/((882/217)/7). Let x = 44938 + j. What is the common denominator of x and 7/27?
297
Let v(w) = 22*w**2 - 12*w**2 + 1 - 20*w - 9*w**2 + 5. Let t be v(4). Let p = t - -72. What is the smallest common multiple of 1 and p?
14
Suppose -24*w + 19*w = 3*n - 1185, -2*n = 2*w - 782. What is the smallest common multiple of 105 and n?
1155
Suppose -3*u + o + o - 70 = 0, 5*u = -o - 134. Let i be (3 + 172/(-20))/(u/45). Let n = i + -1487/26. Find the common denominator of n and 50/21.
42
Calculate the common denominator of 43/28 and 1377/(-6936)*((-2)/(-21))/(-1).
476
What is the common denominator of -107/105 and 4/(-1 + -1)*(-4142)/(-100716)?
1155
Let p be (44/(-99))/(4/(-18)) - 2. Suppose 12 = 2*g - 3*q - 17, -5*q - 15 = p. What is the smallest common multiple of g and 20?
20
Let v be 26031/5616 + 1 - 0. Let h = v - 17/234. Let x = -1/14233 + 498181/370058. Find the common denominator 