97/861. Let n be (38*10/(-1640))/((-18)/(-158)). Let j = a + n. Find the common denominator of j and -119/10.
90
Let u be 126/(-364)*(-503)/(-294). Let k = u + 3/196. Calculate the common denominator of k and 151/12.
156
Let o = -29 - -33. What is the least common multiple of o and 170?
340
Let w(g) be the third derivative of -g**5/60 + 7*g**4/24 - 5*g**3/6 - 5*g**2. Let j be w(6). What is the lowest common multiple of 7 and 5/(0 - -1)*j?
35
Let n = -781 + 829. Calculate the least common multiple of 108 and n.
432
Find the common denominator of (39/(-81))/(512/336) and -19/32.
288
Let c be (-1)/((-68)/348) + (-4)/34. Suppose 140 = -c*l + 12*l. What is the smallest common multiple of 24 and l?
120
Suppose 0 = 46*h - 41*h - 50. Suppose 20 = z - 4*y, h = -7*z + 9*z + 2*y. What is the least common multiple of z and 16?
16
Let g(r) = r**3 - r + 131. Let y be g(0). What is the common denominator of -13/8 and 22/132*y/9?
216
What is the common denominator of (573/18 - 5) + -8 and -1 - 0 - 150/28?
42
Let z(l) = 271*l + 4. Let x be z(5). Let q = 2815/2 - x. What is the common denominator of -49/9 and q?
18
Suppose 0 = -2*o - 792 + 808. What is the least common multiple of o and 133?
1064
Let f(u) = u**2 + 3*u. Let j be f(-4). Suppose -5*a = -j*b - 31, -a - 6 - 11 = 5*b. Let o = a - -15. Calculate the smallest common multiple of o and 2.
18
Let b be (-4)/26 - 164/(-52). What is the least common multiple of 2 and b/(-2)*(3 - 7)?
6
Let k = 4 + 0. Let f be (-57)/12 - 9/(-12). Calculate the smallest common multiple of (f/1 + 2)*-3 and k.
12
Let g = 165 - -17. What is the least common multiple of 9 and g?
1638
Let w(c) = -c**3 + 9*c**2 - 8*c - 36. What is the least common multiple of w(7) and 18?
18
Suppose 2*x - 204 = 2*s, x + 3*x - 402 = s. What is the smallest common multiple of 250 and x?
500
Calculate the common denominator of (2/(-10))/(6 + 1452/(-237)) and 4/55.
550
Let g = 19 + 12. Suppose -24*i + 21*i + 33 = 0. Suppose -2*k = i - g. Calculate the smallest common multiple of 6 and k.
30
Suppose -z - 2*w + 6 = 27, 3*z + 63 = 4*w. Let q = -29 - z. Calculate the common denominator of -93/16 and (-658)/(-120) - q/(-20).
48
Let q(l) = l**3 + 22*l**2 - 49*l - 6. Calculate the smallest common multiple of q(-24) and 14.
126
Let k = -15774610201/160 - -98592036. Let q = -722 + k. Find the common denominator of q and -127/12.
480
Let d be (-1)/3 + (-2)/((-1800)/291). Let w = 51/4900 - d. Calculate the common denominator of 48/7 and w.
49
Suppose -17 = 2*n - 21. Let r(d) = 3*d + 4. What is the lowest common multiple of r(n) and 38/3 - 2/3?
60
Suppose -4 = p + 5*a, -2*a - 3 = 1. What is the smallest common multiple of 18 and p?
18
Let t(a) be the third derivative of 13*a**6/120 + a**5/60 + a**3/6 + 12*a**2. Calculate the smallest common multiple of 10 and t(1).
30
Let a = -1/1864 - 1257/45668. What is the common denominator of a and 39/44?
4312
Let u(m) = -2*m**2 + 8*m + 4. Let g be u(8). What is the smallest common multiple of (-20)/g + (-47)/(-3) and 22?
176
Let m = 694 - 638. What is the smallest common multiple of m and 77?
616
Let x = 20520 - 58235761/2838. Find the common denominator of x and 71/8.
11352
Suppose 5*k - 10 = 2*o, -5*o = -o + 20. Suppose k = 2*p + 8*p - 70. Let c(l) = l**3 - l**2 + l + 6. Calculate the smallest common multiple of c(0) and p.
42
Suppose 158*v + 6 = 159*v. Calculate the lowest common multiple of 144/15 + 4/10 and v.
30
Let p(t) = -t**2 - 17*t + 54. Calculate the lowest common multiple of p(-19) and 24.
48
Let b be (-60)/(-9)*(-12)/(-8). Suppose -b = -5*i, 0*m + 4*m + 4*i = -24. What is the common denominator of -21/4 and (-89)/m - (-2 - -1)?
8
Suppose 3*c - 111 = 3*j, -29 + 35 = 2*j. Calculate the least common multiple of c and 120.
120
Let i(f) = -4*f**2 - 7*f - 3. Let l be i(-3). Let g(b) = -b**2 - 16*b + 44. What is the least common multiple of 6 and g(l)?
24
Let c = -3106/909 + 1/3636. Find the common denominator of 93/10 and c.
60
Let v = 7 - -2. Suppose v*h + 315 = 4*h. What is the common denominator of -2/5 and 1/(h/12 + 4)?
5
Suppose 47*m = -70 + 540. What is the lowest common multiple of 15 and m?
30
What is the least common multiple of 294/49 - ((2 - 7) + 0) and 4?
44
Let u = -1175 + 1220. What is the least common multiple of u and 155?
1395
Let n(k) = -k**3 - 10*k**2 - 16*k + 5. Let l be n(-7). What is the common denominator of ((-82)/l + -3)/(6/(-285)) and -41/21?
21
Calculate the common denominator of (-147)/42 - (-183)/76 and 41/24.
456
Suppose -2*f + 450 = 3*f. Suppose 5*c = 4*m - 3, c + 25*m - 21*m - 9 = 0. What is the smallest common multiple of c and f?
90
Let k(b) = 2*b - 18. Let o = 14 - 9. Suppose 3*n + i = -i + 28, 0 = o*i - 25. What is the smallest common multiple of k(13) and n?
24
Let p = -14 + 5. Let m = p - -31. Let o = 241 - 229. What is the smallest common multiple of m and o?
132
What is the common denominator of -35/9 and 16/40 - (-11)/(-10)?
90
Let m = 251/9 - 3907/153. Let w = m + 549/34. What is the common denominator of w and 1658/84 - 6/(-14)?
6
Let p be (14/3)/(5/15). What is the smallest common multiple of 56 and ((-28)/(-5))/(p/35)?
56
Let c = 11510/21 - 551. Let i be 4222/(-12) - (-2 - -3). Let f = 345 + i. Calculate the common denominator of c and f.
42
Calculate the common denominator of 33/4 and (-48)/84 - 78/(-560).
280
Let c = 203 + 52. Calculate the least common multiple of 50 and 6/8 - (-2)/(24/c).
550
Find the common denominator of 1/(-234)*12*228/96 and 31/44.
1716
What is the lowest common multiple of 11 and (4/(-12))/((-896)/(-300) + -3)?
275
Suppose -3*q = -j + 8, 3*j = 5*q + 66 - 26. Calculate the lowest common multiple of j and 684.
3420
Let p = 6 - 4. Let z = 41 - 36. Suppose -3*f + 5*t - 3*t = -8, 4*f + 3*t - z = 0. What is the lowest common multiple of f and p?
2
Let i = -4061389/9 - -451846. Let x = 579 - i. Find the common denominator of x and 7/16.
144
Let r = -1391 - -11187/8. What is the common denominator of r and 87/8?
8
Let l = -22 - -36. Suppose 16 + 8 = -2*n. What is the lowest common multiple of 30/4 - 6/n and l?
56
Suppose 0*f = -f. Let s be ((-171)/(-17) - f) + -3. Let b = s - 1575/187. Find the common denominator of 79/4 and b.
44
Let z = 123 + -101. Suppose 0 = -0*t + 3*t - 18. Calculate the smallest common multiple of t and z.
66
Suppose -4*a = 2*m - 200, -5*a - 361 = 19*m - 23*m. Calculate the lowest common multiple of 517 and m.
1034
Let c = 1322 + -9203/7. Calculate the common denominator of c and -28/67.
469
Let g(w) = 359*w - 7. Let p be g(1). Let s = -2087/6 + p. Calculate the common denominator of ((-2)/(-5))/((-4)/(-155)) and s.
6
Suppose -4*f + 5*k - 27 = 0, 0 = -2*k - 3*k + 15. What is the common denominator of -6 - ((-399)/49 + 3) and ((-370)/(-4) + -1)/f?
14
Let o = 1032 - 21668/21. Find the common denominator of o and -131/6.
42
Let i = -1/2014 - 72493/22154. Let b = 417278/404877 + -4/12269. Calculate the common denominator of b and i.
33
Let o = 23 - 20. Suppose -4*x - 2 = 3*p - 7, 5*x = -o*p + 1. What is the lowest common multiple of 8 and p - 1 - (-3)/1?
72
Let v = 472 - 221. Suppose 10 = -2*h, 0*h - 3*h - v = -2*p. Find the common denominator of 1 - (p/20 + 3) and -48/11.
110
Let x = -44357/22320 - -223/155. Calculate the common denominator of x and -13/18.
144
Calculate the common denominator of 0 + 2 - (-134)/8 and (54/16)/3 - (37 - 38).
8
Let a = -39983/8 - -5004. Calculate the common denominator of ((-22)/(-5))/((-4)/(-7)) and a.
40
Let x = 2075 + -3894. Let f = x - -9067/5. Find the common denominator of 16/7 and f.
35
Let s(o) = 13*o - 22. What is the smallest common multiple of s(2) and (-3)/(-15) - (-89)/5?
36
Let b = 41681/6 - 6964. Let f = 9113 - 182301/20. What is the common denominator of f and b?
60
Suppose h - 4*j - 39 = -2, 0 = 5*h + 4*j - 89. Calculate the lowest common multiple of 12 and h.
84
Let d(r) = -r**2 + 7*r + 6. Let m be d(8). Let l be (-191)/(-3) - (-6)/(-9). What is the lowest common multiple of 4 and (m/6)/((-3)/l)?
28
Let c = 233 + -35. Find the common denominator of (c/81)/(2/6) and (-1 - -1) + 296/(-80).
30
Let q = 320 + -302. What is the least common multiple of q and 48?
144
What is the common denominator of -79/108 and 8795/660 + 5/55 + -2?
108
Let b = -32759/52 - -8166/13. What is the common denomi