r of 77/10 and (-275)/(-12)*b/80.
80
Let y(m) = -m**2 + 15*m + 9. Let c be y(14). Suppose -k - 2*g + c = 3*g, -k = g - 3. Calculate the smallest common multiple of ((-6)/k)/(-3) + 3 and 1.
2
Suppose -3*b = -6*b + 27. Let t(i) = -135*i + 816. What is the least common multiple of b and t(6)?
18
Suppose -24 = 5*c - 74. What is the smallest common multiple of (9/6)/(3/20) and c?
10
Let r(u) = -u**3 + 10*u**2 - 10*u + 35. Let k(l) = -l**2 - l - 1. Let i(d) = -2*k(d) - r(d). Calculate the smallest common multiple of 1 and i(7).
2
Let k(y) = -6 + 4*y - 4 - 4. Let a(t) = t**3 + 6*t**2 + 6*t. What is the least common multiple of k(8) and a(-4)?
72
Let g = 7 + 9. Let u = -47 - -86. Suppose 5*c = 3*x + x - 25, 3*c - u = -3*x. What is the least common multiple of x and g?
80
Let b be 7/(-21)*(-12)/(-1). Let z(d) = 9*d**2 + d + 4. Let f be z(b). Find the common denominator of 65/8 and f/(-16)*(-2)/66.
88
Let o(w) = 13*w - 64. Let x = -18 - -34. What is the smallest common multiple of x and o(6)?
112
Suppose -3*h = -4*h - 5*m - 23, -3*m - 7 = 4*h. Calculate the common denominator of 944/(-80) + 1/h and 4/(-6)*(-85)/4.
30
Let c = -6095023/228749 + 826/31. Let o = -937115/132822 - c. Calculate the common denominator of o and 97/12.
36
What is the lowest common multiple of ((-34776)/(-45))/(-14)*(-5)/2 and 230?
690
Let d = -530 - -761. What is the common denominator of d/6 + 4/(-1) and 73/16?
16
Let r(m) = -49*m**2 + 4*m - 1. Let d be r(-3). Find the common denominator of 2/(-10) - d/(-80) and (-5)/(-6)*78/(-80).
16
Calculate the common denominator of (-2952)/(-400)*5/6 and 1/25.
100
Let v = 41953/59 + -711. Let w = -131/1062 + v. What is the common denominator of -3 + -2 - (-876)/80 and w?
180
Calculate the common denominator of (-7)/((-1470)/(-785)) + 0 and 38/15.
210
Let o = 26 - 14. Calculate the least common multiple of ((-24)/15)/((-2)/95) and o.
228
Let o = 1847/590 + 1/354. Find the common denominator of (-279)/36 - 6/8 and o.
30
Suppose -c = -0*c - 2*o + 27, -4*c - 5*o = 160. Find the common denominator of (-2 - 15/(-20))*-2 and c.
2
What is the common denominator of ((-3)/420)/((-8)/(-300)) and 89/8?
56
Let x(l) = 2*l + 11. Let a be x(-4). Suppose 2*k + 8 = 0, -k = -v + 5*v - 140. Suppose -18 = -a*u + v. What is the lowest common multiple of u and 16?
144
Let j = -386 + 444. Calculate the lowest common multiple of j and 6.
174
Let r = -36 + 145/2. Let h = 112056/47399 + -2/4309. Let s = h - 196/55. Find the common denominator of s and r.
10
Let t = 55 + -43. Suppose -10 = -x + 6. Suppose -2*n = -n - x. Calculate the lowest common multiple of t and n.
48
Suppose 34*n + 16 = 38*n. What is the lowest common multiple of (3 + 2)/(n/(16/2)) and 1?
10
Let d = -61621543/279 - -220866. Find the common denominator of -23/36 and d.
1116
Calculate the least common multiple of ((-210)/(-56))/(5/48) and 16.
144
Let y = 12 + -13. Let u be y/(-1) + (-7 - -11). Suppose -u*w + 36 = -w. Find the common denominator of w and -38/3.
3
Let v(i) = 20*i + 143. What is the smallest common multiple of 138 and v(-7)?
138
Let h = -172139/840 + 3094/15. Find the common denominator of h and (-3 + 3 + 45/4)/((-81)/135).
56
Let n = -7548/7 + 1077. What is the common denominator of 0 - (-1 + 33/(-8)) and n?
56
Let s = 10 + -5. Let q(n) = -47*n - 92. Let o be q(-5). Let z = -134 + o. What is the smallest common multiple of s and z?
45
Suppose 0 = -2*s, 6*t - 3*t - 42 = 5*s. Calculate the smallest common multiple of t and 6.
42
Suppose 2*q - 8 = 0, 4*l = -4*q + 11 + 33. Let j(g) = -29 + 2*g - 5*g - 3*g + 3*g. What is the least common multiple of l and j(-14)?
91
Let k = -13 - -17. Suppose -2*p - 24 = j, 26 + 77 = -k*j - p. Let f = -19 - j. What is the smallest common multiple of 8 and f?
56
What is the common denominator of (51/4)/(22/(-8) + 1) and -89/20?
140
Let q be 6*-1 - (-2 - (-3)/(-3)). Find the common denominator of 95/66 and 255/(-112) + (-76)/(-28) + q.
528
Calculate the common denominator of -31/30 and ((-30)/49)/((-189)/294).
210
Let q(r) = -r**3 + 8*r**2 + 9*r - 3. Let g be q(9). What is the common denominator of 37/20 and (-124)/(-24) - g - -4?
60
Let j = -58 + 157. What is the least common multiple of j and 90?
990
Let i(t) = -66*t + 11. Let j be 6/27 + (-474)/(-54). Let n be i(j). Let z = n - -12823/22. Find the common denominator of 83/64 and z.
704
Let b = -16 + 51. Let c = -309 - -253. What is the common denominator of c/b*70/(-44) and 11/2?
22
Let h = 861 - 859. What is the smallest common multiple of 50 and h?
50
Let w = 14376/11 + -1308. What is the common denominator of w and ((-5)/18)/((-7)/(-525))?
66
Let f = 98771449961/11073426 + -10656892/1193. Let n = f + 3/1547. Find the common denominator of (-2)/(-7) - (-69)/420 and n.
60
Let w = -29 + 11. Let s = -102 - w. Calculate the common denominator of -113/18 and ((-846)/s)/((-36)/(-14)).
36
What is the common denominator of 53/164 and 428/(-80) + -2 - (15 - 20)?
820
Let m be (-348)/30 + (-6)/15. Find the common denominator of -73/4 and ((-1)/m)/((-33)/968).
36
Let j be ((4 - 3)/(-3))/((-1)/267). Suppose -2*k - 20 = -5*a, a - 2*a + 5*k + 27 = 0. Suppose a*u = -29 + j. What is the smallest common multiple of 18 and u?
90
Let f = 275/4 + -67. What is the common denominator of (24/3)/8 - (-93)/30 and f?
20
Suppose -f - y = y - 26, 4*f - 2*y - 94 = 0. Suppose 0 = 6*h - 4*h + f. Calculate the least common multiple of 26 and (16/h - -1)*-24.
104
Let l(k) be the third derivative of -k**4/12 - 8*k**3/3 - 7*k**2. What is the lowest common multiple of l(-14) and 30?
60
Let n = -183 - -3325/18. Find the common denominator of n and -7/9.
18
Let k be 0 + (-1102)/34 + 4. Let z = k + 5589/238. Find the common denominator of z and (-2)/56*(-5 - -59).
14
Let j = 2733 - 2645. Calculate the lowest common multiple of j and 120.
1320
Let o(l) = 46*l + 2. Let y be o(1). Find the common denominator of -133/24 and (1/(-7))/(y/1064).
24
Suppose 2*n + k - 16 = 0, -62 = -n - 4*n + 3*k. What is the lowest common multiple of -2*1/(-2) + 5 and n?
30
Suppose 3*a - 17 = 28. Let x(n) = 2*n**2 - 52*n + 8. Calculate the least common multiple of x(0) and a.
120
Suppose -3*s - 9 = -4*z - 26, 2*z + 2*s = -26. What is the common denominator of 1/9 + z/(-12) and ((-142)/18)/((-2)/(-2))?
9
Let q(f) = f**3 - 2*f**2 - 2*f + 3. Let x be q(3). Suppose -x*p = -32 - 40. What is the smallest common multiple of 14 and p?
84
Let i(h) = h**2 - 3*h + 2. Suppose -1137 = 12*l - 1281. What is the least common multiple of i(-3) and l?
60
Let n = -21096/5 - -928247/220. Find the common denominator of -11/100 and n.
1100
Suppose 3*r = 3*y + 24, -r + 2*y + 1 = -8. Let p = -94 - -104. What is the smallest common multiple of r and p?
70
Calculate the common denominator of ((-102)/(-9))/(32/(-24)) and 2/(2 + -24)*38.
22
Let o(k) = -k - 2. Let p be o(-2). Let d = 1023 - 5077/5. Find the common denominator of d and (-52)/(-22) + 2 - p.
55
Suppose -4*o + 4*y = -0*y + 4, o + 2*y = 14. Calculate the least common multiple of o and 2.
4
Suppose 0 = 35*t - 5*t - 150. What is the lowest common multiple of t and 3?
15
Let x = 12 - -4. What is the least common multiple of 923/78 + 1/6 and x?
48
Let y = -1465 - -1615. Calculate the least common multiple of 100 and y.
300
Let u = 5 + -1. Suppose 9 - 1 = u*o. Suppose -12 = -o*t - t + 4*a, 5*a = 3*t - 9. What is the smallest common multiple of t and 16?
16
Suppose -5 = 2*u - 21. Let b(a) = a**2 - 3*a - 10. Let q(i) = i**3 + 5*i**2 - i + 2. Let d be q(-5). What is the lowest common multiple of b(d) and u?
72
Suppose 21*g - 264 = -15*g - 8*g. Let n = 10 - -1. Calculate the lowest common multiple of g and n.
66
Let o = 58039/10 - 5816. Find the common denominator of 23/376 and o.
1880
Suppose x = 3*q + 14, 3*x - q = -2*x + 42. What is the smallest common multiple of 12 and x?
24
Let r = 1695815 + -406994977/240. Let h = r + -33/16. What is the common denominator of -1/4 and h?
60
Let c(q) = 19*q**3 + 10*q**2 + 2*q - 5. Let w be c(6). Let n = 44661/10 - w. Calculate the common denominator of n and -7/88.
440
Let l(h) = 2*h**2 + 6*h + 12. Calculate the least common multiple of 3/(-12) - 111/(-12) and l(-3).
36
Suppose -402 + 2290 = 8*w. Find the common denominator of w/30*(-1 - 27/(-12)) and ((-1)/(8/42))/5.
60
Calculate the common denomi