 is the least common multiple of (109 + -115)*((-4)/18)/(-2)*-663 and 65?
2210
Suppose -3*d - 2 = -2*d, 392 = 5*s + 4*d. Let m(l) = -l**3 + 324*l**2 - 968*l + 1669. Calculate the least common multiple of m(321) and s.
320
Let a(n) = -5*n - 4. Let s(d) = 1. Let t(p) = a(p) + 4*s(p). Suppose 211*h + 168 = 232*h. What is the smallest common multiple of t(-4) and h?
40
Let b = -22 - -24. Let r be (561/(-18) - 2) + b/12. Let y = r - -57. Calculate the least common multiple of y and 6.
24
Let a(o) = o**3 + 30*o**2 + 54*o - 50. Suppose 12 = -b + w - 14, 2*b + 4*w = -64. What is the smallest common multiple of a(b) and 19?
114
Let q(c) be the first derivative of c**3 + c**2 - 5*c + 1. Let g = -6896 + 6891. Calculate the lowest common multiple of 10 and q(g).
60
Suppose -s + 7702 = 4*a, -2*a + 1877 + 1981 = -3*s. Find the common denominator of (-107)/a + (-905)/72 and -101/14.
56
Calculate the least common multiple of 3572 and 18*14/10 + (-19)/(-570)*24.
46436
Suppose -7*l = -3344 - 296. Let p = 541 - l. What is the smallest common multiple of p and 4?
84
Let p = -32068 + 2693563/84. Find the common denominator of p and 5172/(-1440) - 8/(-2).
840
Let c(u) = -14*u**2 + 3*u - 44. Let h(t) = t**3 + t. Let m(x) = -c(x) - 2*h(x). Let s(g) = -3*g. Calculate the least common multiple of s(-2) and m(7).
18
Suppose -3*o + o - 5*y = -284, -4*o + 2*y = -520. Suppose o = -129*c + 132*c. Suppose g - 18 = 2. Calculate the smallest common multiple of c and g.
220
Suppose 5*l - 931 = -5*m - 66, -2*l + m + 349 = 0. Let w = -54 + l. Calculate the smallest common multiple of w and 36.
360
Let x = -7781 + 23317/3. Let f(z) = -791*z**2 + 3*z + 2. Let w be f(-1). Calculate the common denominator of (-3543)/w - (-2)/(-11) and x.
24
What is the smallest common multiple of 31 and 6/(-45) - 29/(3915/(-25128))?
186
Suppose 97 + 19 = -2*n. Let w = -77 - n. Let i = 34 + w. Calculate the lowest common multiple of i and 33.
165
Let v be (1777 - -49)*1/(-2). Let d = v - -917. Suppose 0 = 2*o - 3*o + 69. Calculate the lowest common multiple of o and d.
276
Let n be ((-16)/8)/((-2)/42). Suppose -w + 55 = -n. What is the common denominator of 46 and (-9)/6 - w/(-10)?
5
Let p be (-2)/(-4) - -4*127945/440. Let a = -7308635/6281 + p. Calculate the common denominator of a and -73/2.
1142
Let l = 1931 - 1928. Calculate the lowest common multiple of l and ((-246)/(-15))/((-2)/(-5)).
123
Let j(r) = -r**2 + 16*r + 82. Let a be ((-8)/10)/(6*(-6)/(-180)). Let l = 15 - 11. Calculate the smallest common multiple of l and j(a).
4
Let m(w) = -8 + w**2 - 14 - 5 + 25*w + 30. Let k be m(-25). Suppose 0 = 21*p - 20*p - k. What is the least common multiple of 3 and p?
3
Let r = 29166769715/4674 + -6240216. Calculate the common denominator of -47/2706 and r.
51414
Let p be 9 - (0 + -8) - 9. What is the smallest common multiple of ((-412)/16 - -1)/((-3)/p) and 66?
66
Let u = 1277641/168 - 7605. Find the common denominator of -43/448 and u.
1344
Calculate the lowest common multiple of 3348/310*(-110)/(-6) and 99.
198
Suppose 5*d - 4*f = -7 + 23, 3*d - 5*f - 7 = 0. Suppose -4*v + 376 = d*n, -2*n + 4 + 164 = -3*v. Calculate the lowest common multiple of 90 and n.
90
Let y(m) be the second derivative of m**5/20 + 7*m**4/12 + 2*m**3/3 - 4*m**2 + 10*m. Suppose c - 12 = 3*c. Calculate the lowest common multiple of y(c) and 2.
4
Let w(d) = d**3 + 3*d**2 - d + 10756. Let v be w(0). Let b be (-17706)/((252/51)/3). Let t = b + v. Calculate the common denominator of t and -79/16.
112
Suppose -p - 5*u - 11 + 92 = 0, -p = 4*u - 76. Suppose -j + 4*r + 638 = p, -5*r + 2985 = 5*j. Calculate the least common multiple of j and 6.
594
Let s be (2 - 5 - 2) + 1412. Suppose 0 = -3*g + s + 2589. Calculate the common denominator of -71/26 and (-2)/(-5) - g/(-320).
208
Let n(w) = -87 + 13*w + 197 + w**2 - 68. Calculate the smallest common multiple of 22 and n(-5).
22
Let q = -1814567/165 - -10998. Calculate the common denominator of q and -145/144.
7920
Let k = 18 - 12. Calculate the smallest common multiple of k and (-1*(-4 - 1))/1.
30
What is the lowest common multiple of ((2416 + -16)/10)/(1/1) and 144?
720
Suppose -4*x + 29119 + 14433 = 0. Let h = 195841/18 - x. Find the common denominator of h and -26/51.
306
Let n(w) = w**2 + 2*w - 15. Let h be n(-5). Suppose -15*c + 4*c + 132 = h. Calculate the least common multiple of c and 52.
156
Let i = 2/34853 - -662057/2613975. Find the common denominator of i and -79/10.
150
Let o(s) = 2*s + 8. Let u be o(-5). Calculate the common denominator of -14/129 and (-19)/(-21)*-1 + (u - -5).
903
Let r(m) be the second derivative of -3*m**3/2 - 47*m**2/2 + 5*m. Let z be r(-5). Calculate the smallest common multiple of 10 and (-8)/(-2) - (z - 0 - -1).
10
Suppose 3*m - 68*l - 55 = -69*l, m - l = 9. Calculate the least common multiple of 2360 and m.
4720
Find the common denominator of 3/599 and (52/(-624))/((-1)/(-244)).
1797
Let q(c) = c**3 - 132*c**2 + 126*c + 745. What is the lowest common multiple of q(131) and 56/(-12)*(-9)/2?
630
Suppose -3*x = -0*x + 18. Let r(p) be the second derivative of -p**4/12 - 11*p**3/6 - 4*p**2 - 16*p. What is the least common multiple of r(x) and 4?
44
Let h = 10 + -85. Let k = h + 77. Suppose 26 = k*s + 5*y, -y + 43 = 5*s - 45. Calculate the smallest common multiple of s and 14.
126
Suppose 5*g = 4 + 16. Suppose 0 = -2*l - 2*z - g, -4 = z + 1. Suppose 8*t + 34 = 114. Calculate the lowest common multiple of t and l.
30
Let l = 212726023/29565 - 35976/5. Calculate the common denominator of 29/27 and l.
5913
Calculate the least common multiple of 130 and 29/(-3) - 26/(-39) - -1054.
27170
Let c(a) = a**2 - 9*a - 14. Suppose -5*v - 12 = 3*n, -n = 4*v + 1 + 3. What is the smallest common multiple of c(n) and 8?
152
Suppose 3*p - 102 = -5*z, 3*p = -3*z + p + 62. Find the common denominator of ((-48)/72)/(4/142) and (-1)/z*(-150)/(-80).
48
Let i(x) = -2*x**2 + 4*x - 56. Let p be i(-11). What is the common denominator of 33/10 and 76/p - 424/(-45)?
10
Let g = 193 + -119. Suppose -a + 205 = -4*a + 2*p, 0 = a + 5*p + g. Calculate the common denominator of -5/2 and (-12)/(-18) + 265/a + 1.
46
Calculate the common denominator of 161/120 and ((-14)/4)/(1155/1463).
120
Let k = 96 - 77. Suppose -3*v - k = -49. Calculate the lowest common multiple of v and 2.
10
Let q be (-76)/(-6)*(-6)/4. Let w = 31 + q. What is the lowest common multiple of ((-56)/(-2))/(w + -10) and 6?
42
Let b = -9393 - -9489. Calculate the lowest common multiple of 2208 and b.
2208
Let k be ((97 - 2) + -3 + -3)/(-1). Let y = -81 - k. Find the common denominator of (-52)/14 - (11 - y) and 8/3.
21
Let z(q) = 4*q - 49. Suppose 108 = -3*j + 6. Let t = -29 - j. What is the least common multiple of z(14) and t?
35
Suppose 93 = 268*j - 262*j + 3*i, 0 = -2*j - 2*i + 40. Let g(m) = -19*m - 1. Calculate the smallest common multiple of j and g(-1).
198
Let h = 1593/143 - 120/13. Let m = -483 + -62. Find the common denominator of 6/21 + m/70 + 3 and h.
22
Let t be (-33076)/26*(-133)/28. Let l = t + -6041. Calculate the common denominator of 79/20 and l.
260
Suppose 10*w - 2965 = 4595. Calculate the smallest common multiple of w and 8.
1512
Suppose 16*u + 5*w = 15*u - 1208, -5*u = 3*w + 6084. Let i be 498/(-20)*195/4. Let p = i - u. Calculate the common denominator of 81/20 and p.
40
Let t = -5737/5 - -80763/70. What is the common denominator of t and (1/(-2)*2)/((-48)/712)?
42
Let h = 3953 + -720. What is the smallest common multiple of h and 4?
12932
Let k(m) = -162*m**2 + 6*m - 3. Let d be k(3). Calculate the common denominator of (-1)/((-1)/2) - 1665/162 and 20/(-35) + d/378.
18
Suppose -8*u + 93 = -19. Let y(p) = p**3 + 9*p**2 + 6*p + 70. Calculate the lowest common multiple of y(-7) and u.
126
Let d(s) = -255*s - 3563. Calculate the least common multiple of d(-14) and 522.
3654
What is the common denominator of (-28)/7 - 104/(-65) and -24/235?
235
Let r be -3*((-84)/306)/7 - (-1375)/17. Suppose 5*f - 8 = 7. Suppose 84 = f*h - 4*t, -t = 4*h + 4*t - r. What is the common denominator of h and 19/5?
5
Let d = -122174 + 15394073/126. Calculate the common denominator of 103/1134 and d.
1134
Calculate the least common multiple of (20/6)/(1 + (-78)/108) and 738.
1476
Let x be (1 - (-36)/(-30))/((-3)/285). Suppose 112 