ate the common denominator of 3/(-6) + 26/(-40) + 2 and (24/20 - 4) + 2.
20
Let n = -249703/8 + 31221. Find the common denominator of -20/2427 and n.
19416
Let m be (-1 - -7) + (-1 - -1). Let z be 4/m*6 + 3093. Let u = z + -12329/4. What is the common denominator of -74/9 and u?
36
Suppose -3*k + 516 = -3*f, -f + 6*f = -5*k + 840. Suppose 5*i - 4*d = 58 + k, -4*d + 12 = 0. What is the smallest common multiple of i and 40?
240
Let m = 31 + 14. Suppose -4*j + j = -4*r - m, 0 = -3*j - 3. Find the common denominator of 43/10 and 266/(-12) - 4/r.
30
Suppose 3*a = -3*f + 15, 3*a - 18*f + 19*f = 9. Suppose -6*w = -9*w + 6. What is the least common multiple of w and a?
2
Suppose -348*s = -351*s - 46242. What is the common denominator of (1 - -5 - 1)*(-273)/s and 81/2?
734
Suppose -538 = -7*r + 218. Let t = -31 + r. What is the smallest common multiple of t and 21?
231
Let s be ((-2)/(-4) - -1)*(7 - 9). Let p be (s + -9)/((-6)/(-4)). Calculate the common denominator of (p/(-20))/((-22)/130) and -43/7.
77
Suppose -3*c = 0, 2*x - 9 - 19 = 4*c. Calculate the least common multiple of 13 and 7/x - (-12)/8.
26
Suppose -2*v = -5*d + 12, -4 = -0*v + v - 2*d. Suppose 3*u + g + 2*g = 27, 0 = v*u + 5*g - 37. Calculate the least common multiple of u and 34.
136
Suppose -23*t + 767 = 123. What is the lowest common multiple of t and 98?
196
Let r = 1124597/69160 - 1559/95. What is the common denominator of -48/637 and r?
5096
Suppose -5 = -10*p + 45. Calculate the common denominator of -27/40 and p/(-1 + 2) + 539/(-220).
40
Calculate the common denominator of (-18)/(-261) - 15642/7308 and -17/5754.
5754
Let m = 2194 - 2029. What is the least common multiple of m and 1095?
12045
Let p be 13/(351/(-12)) - (-704)/(-36). What is the common denominator of 81/56 and (3*(-5)/(-30))/p?
280
Let c = -182 + 196. Calculate the smallest common multiple of c and (-7)/(1*(1 + -2)).
14
Let n(d) = -d**2 + 12*d + 1. Let a be n(5). Suppose -11*h = -10*h + a. Calculate the lowest common multiple of 8 and 1 + (13 + -1)*h/(-16).
56
Let h = -591 - -597. What is the common denominator of 27/20 and (h/(-20))/(30/(-8900)*-4)?
20
Let f = -4086/11 - -110938/297. Let q(u) = u**3 - 4*u**2 - 7. Let c be q(5). Calculate the common denominator of f and (-8)/c*84/(-77).
297
Let a = -46725491/276 + 169295. What is the common denominator of a and 157/312?
7176
What is the smallest common multiple of 2/12 + ((-185)/30 - -26) and 728?
3640
Let n = 506 - -169. Suppose 262*y = 247*y + n. Calculate the least common multiple of 11 and y.
495
What is the common denominator of (18/(-540))/(4*(-6)/(-2140)) and 20/171?
684
Let x = -16227 + 324609/20. Find the common denominator of -83/200 and x.
200
What is the least common multiple of 112 and 5106 - -11*5/5 - 7?
40880
Let h be 45/(-25)*(-140)/6. What is the common denominator of 34/7 and (492/h - -2)/(9/14)?
21
Let d be 0*2/(-8) - 1. Let o be 2/d + (-11544)/(-5781). Let c = 132939/7708 - o. Find the common denominator of 27/7 and c.
28
Let a(g) = 6*g + 138. Suppose -12*q + 8*q - 95 = -5*k, 2*k - 6 = 0. What is the smallest common multiple of a(q) and 13?
234
Let u = 101/116 - 134/29. Let s(z) = -z**2 - 6*z + 1. Let p be s(-6). Calculate the common denominator of u and p/(-6)*(-104)/(-2).
12
Suppose 45*s = 2*s + 86. Suppose -6 = -s*a + a. What is the lowest common multiple of 51 and a?
102
Suppose -69*g = -58585 - 37352 + 28800. Calculate the lowest common multiple of g and 695.
4865
Let c = 99209 + -108534575/1094. Find the common denominator of c and -39/16.
8752
Let r = -43 + 42. Let l = 1631 + -3167/2. Calculate the common denominator of r/(2080/(-545) - -4) and l.
20
Let j = -522/7765 + 19761271/683320. Let w = 228/11 - j. What is the common denominator of w and (3/18)/(3/118)?
72
Let l = -68202/5 - -13576. Let c = -15288341/660 - -255482/11. Let g = l + c. Find the common denominator of g and -145/12.
12
Let d = -18338/7 + 989909/378. Suppose 3*g - 42 = -f, -2*f + 3*g + 39 + 45 = 0. Find the common denominator of f and d.
54
Let i(w) = 16*w - 25. Let q be i(2). Calculate the common denominator of (1014/65 - q)*(-10)/12 and -5/478.
1434
Let c = -3467/3 - -1201. Let h = -373696 - -12330628/33. Let s = h + c. Calculate the common denominator of s and -29/35.
385
Calculate the common denominator of 1/54 and 1547/(-3978)*107/(-119).
918
Let u = 140 - 152. Let y(a) = -5*a**2 - 60*a + 5. Calculate the least common multiple of y(u) and 30.
30
Find the common denominator of 15 - (-14 - (-1557)/54) and 34/15447.
30894
Let n(l) = -2*l**3 + 5*l**2 + 5*l + 4. Let y be n(-3). Suppose 25 = 2*f + 3*f. Suppose -f*t = -y - 62. Calculate the lowest common multiple of 3 and t.
30
Let o = 13459 - 13432. What is the least common multiple of o and 549?
1647
Suppose -54*q = -30*q - 720. Suppose -96 = -7*n - 12. Calculate the lowest common multiple of q and n.
60
Let j = 4/23 + -1343/184. Let q = -997 - -277. Calculate the common denominator of j and 5 - (-942)/q*3.
40
Suppose i + 47*i = -32*i + 23040. What is the least common multiple of i and 288?
288
Let a be 2/4 - (-131)/2. Let z(s) = -s**3 - 20*s**2 + 23*s + 42. Let h be z(-21). What is the common denominator of -53/7 and (a/23 - h) + -1?
161
Let t(z) = 1732*z**2 + 281*z + 1. What is the least common multiple of t(1) and 159?
6042
Let z(c) = 202*c + 3720. Suppose -k = -4*v + 41, 0 = 3*k - k + 10. Calculate the least common multiple of z(-18) and v.
252
Let v be ((-18)/(-8))/(14268/8024 + -2). Let t = -103/89 + v. Calculate the common denominator of -79/34 and t.
170
Let h = -6301721/2419824 + 2/50413. Calculate the common denominator of h and -41/2406.
19248
Let l(k) be the third derivative of k**5/60 - 7*k**4/24 - 2*k**3/3 + 60*k**2. What is the smallest common multiple of l(8) and 6?
12
Let p = 2988 + -2918. What is the smallest common multiple of p and 230?
1610
Let o = 105476 - 6328723/60. Calculate the common denominator of -139/30 and o.
60
Suppose 3*y - 1370 - 208 = -3*t, -3*y - t + 1594 = 0. Calculate the smallest common multiple of 24 and y.
2136
Let b(w) = 6*w**2 + 90*w - 220. What is the least common multiple of b(-18) and (-5)/2*(-4)/5?
104
Suppose 0 = -9*l - 327 - 123. Let r = 78 + l. Find the common denominator of -2 - (-97)/r*2 and -37/28.
28
Suppose 5*o = 4*n + 1463, -1156 = 3*o - 7*o - 4*n. What is the common denominator of 41/105 and o/(-45) - 14/(-28)?
210
Let x(s) = 17*s + 305. Let w(j) = -2*j + 4. Let n be w(0). Calculate the smallest common multiple of n/(16/22)*6 and x(-16).
33
Let t = -31591 - -7645029/242. Calculate the common denominator of 89/14 and t.
1694
Let b(h) be the third derivative of -7*h**6/60 + h**5/30 - h**3/3 + 42*h**2. What is the least common multiple of b(-1) and 10?
70
Let o = -45 - -60. Let q(y) = -9*y - 62. What is the lowest common multiple of q(-7) and o?
15
Let f be 6*(5 + (-73851)/60). Let m be (-2945 - 1)*(-5)/2. Let c = f + m. Find the common denominator of c and -55/6.
30
Suppose b + 1898 = -3*c, -5*c - 2*b = 46 + 3117. Find the common denominator of (-1)/((-4)/(-24)) + c/(-36) and 35/27.
108
Let w(g) = -g**3 + 8*g**2 + 27*g - 10. Let p be w(12). Let i = p + 271. Calculate the smallest common multiple of 3 and i.
9
Suppose 1092 = 19*f - 14944. Find the common denominator of f/(-120) + (-6)/(-9)*6 and (3/4)/((-10)/52).
30
Let i = -10793 + 11111. Calculate the smallest common multiple of i and 2.
318
Suppose -16*n = -4*t - 20*n + 52, t - 38 = 4*n. What is the lowest common multiple of 46 and t?
414
Calculate the common denominator of -55/8 and 312898878/22349016 - (2 - -12).
130696
Calculate the lowest common multiple of (3/(0 - 7/124))/((-762)/13335) and 48.
7440
Suppose 4*b = 0, 8*r - 3*r - 3*b + 5 = 0. Let p(a) = -a**3 + 7*a**2 - 3*a - 7. What is the smallest common multiple of 455/42 - 8 - r/6 and p(6)?
33
Let o = -3/5423 - -50394/2868767. Calculate the common denominator of 17/184 and o.
4232
Suppose 0 = -z - 2562*p + 2558*p + 85, -z = -2*p - 61. Let s(a) = 17*a**2 - a. What is the lowest common multiple of z and s(-1)?
414
Let k = -847923/5 + 168781. Let m = -15963/20 - k. Calculate the common denominator of m and -51/104.
520
Let n be 1*(-4)/34 + 2044/34. Suppose 15*l + n = 20*l. Suppose 3*s = 4*t - 62, -3*t = 4*s - 41 + 7. What is the lowest common multiple of l