7. What is the lowest common multiple of 12 and n?
12
Suppose 16 + 0 = 4*d. Let u = 6 - d. Calculate the lowest common multiple of 2 and u.
2
Let m(y) = 4*y**3 + 2*y**3 - 7*y**3 + y**2 - 7*y + 10*y + 8. Calculate the least common multiple of 25 and m(-3).
175
Let l = 18250 + -146831/8. Let s = -4571/40 - l. What is the common denominator of 14/5 and s?
5
What is the common denominator of 3 + 22784/(-6365) - (-90)/150 and 143/6?
7638
Let v = -44773/22 + 2036. Let x = 2183885449/13314 + -10334215/63. Let p = -94/317 - x. Find the common denominator of p and v.
198
What is the smallest common multiple of 36 and (3 + -6 + 0)*1900/(-57)?
900
Let y be (-145)/(-25) - (-8)/(-10). Suppose 22020 = 5*m + y*h, -16491 + 3279 = -3*m - 2*h. Let n = m + -74824/17. Find the common denominator of -39/4 and n.
68
Let s = -8315/12 + 684. Find the common denominator of s and 121/228.
228
Let c = 20 + -17. Suppose 2*i + 4 = 10, i + 96 = c*r. What is the lowest common multiple of 27 and r?
297
Let a(d) = -d**3 + 7*d**2 - 11*d + 12. Calculate the lowest common multiple of a(5) and 70.
70
Let d(l) = -l**3 + 6*l**2 - 4*l + 3. Let b(c) = c**2 + 6*c + 2. Suppose 77 = -10*x - x. What is the lowest common multiple of b(x) and d(5)?
72
Let g(q) = -q - 4. Suppose -h - 3*a = -3*h - 9, -22 = 4*h - 2*a. Calculate the smallest common multiple of (19 + (-1377)/68)/((5/(-8))/5) and g(h).
10
Suppose 93*y - 864 = 75*y. What is the smallest common multiple of 9 and y?
144
Let h(n) = -n**3 + n**2 - 2*n. Let l be h(1). Calculate the common denominator of (4/32*l)/((-6)/218) and 17/6.
12
Let d = -2 + 35. Suppose d - 22 = l. Calculate the smallest common multiple of l and 28.
308
Let b = 1/1503 + -427/334. Let l = 305659124 + -2656177823809/8690. Let x = -58/395 + l. Find the common denominator of x and b.
198
Calculate the common denominator of 6/(-40)*-108*3/(-48) and 23/80.
80
Suppose -6 = -5*p + 9. Let u(q) = -q**3 + 5*q**2 - 6*q + 11. What is the smallest common multiple of p and u(3)?
33
Let i = -47336 + -11908. Let t be i/78 - (-1)/2. Let l = -758 - t. Calculate the common denominator of -21/4 and l.
52
Calculate the common denominator of -25/3 and 4 + 7 + 1674/(-120).
60
Let c = -6181503/70 + 88309. What is the common denominator of -25/3 and c?
210
Suppose -3578 = -y + 6906. Let s = y - 251491/24. Calculate the common denominator of -17/22 and s.
264
Suppose 33 = -7*i + 180. What is the lowest common multiple of 16 and ((-44)/(-3))/(14/i)?
176
Suppose 0 = 2*a + 3*a + 60. What is the common denominator of 1/30 and (2/a)/(3/(-150))?
30
Suppose -2*f = -5*l - 16, -l + 2*f = -4*l. What is the common denominator of l + (-3 - 33/24) and -59/7?
56
Let y = 78 + -72. Suppose 3*s - 7*s = -g - 28, 3*s = -3*g + y. What is the lowest common multiple of 4 and s?
12
Suppose -4*x + o = -0*x - 852, 232 = x - 5*o. Suppose -110 = -14*h + x. Calculate the lowest common multiple of h and 2.
46
Let o = -253/7 + 2325/56. Let y = 66167/55944 + -22/999. What is the common denominator of y and o?
56
Let u(h) be the second derivative of -h**3 - 11*h**2 + 5*h. What is the smallest common multiple of u(-6) and 6?
42
Let k = 64003/2 + -31265. Let v = k + -723. Find the common denominator of 75/2 and v.
2
Let c = 243 + -237. What is the lowest common multiple of 58 and c?
174
Let t(r) = -4 - 2*r**3 - 12*r**2 + r - r + 13*r + r**3. Let f be t(-13). Calculate the smallest common multiple of 8/f + -1 - -4 and 2.
2
Suppose 32 = 10*q + 2. What is the least common multiple of 217 and q?
651
Find the common denominator of -113/18 and ((-1510)/600)/((-6)/4 - 2).
630
Suppose -5*k - f = -104, 4 = 2*k + 4*f - 52. Suppose -3*j + 48 + 0 = 0. Calculate the smallest common multiple of k and j.
80
Let t be (2/(-8))/((-5)/43577) - 2. Let h = t - 2173. Calculate the common denominator of h and 65/18.
180
Let z be 291/3 - (-28)/7. Let d = -123 + z. Calculate the common denominator of d and (-4)/(-10) + (-111)/(-30).
10
Let u be 6/16*(-165730)/(-15). Let x = 4121 - u. What is the common denominator of 51/40 and x?
40
Suppose -t + 2*t = 2. Let v be (0/(4/t))/(-2). Suppose -2*r - 80 = -4*k, v*k - k = -5*r - 38. What is the smallest common multiple of k and 8?
72
Suppose 0 = -w - 4*u - 592 - 8242, 0 = 4*w - 5*u + 35315. Let t = w + 2198675/249. Let c = t - -3715/996. Find the common denominator of c and -46/11.
44
Let v = -4658/273 + 36/91. Find the common denominator of -27/35 and v.
105
Find the common denominator of -6 + 689*(-4)/(-392) and 151/18.
882
Let v = -53581/30 + 5332/3. What is the common denominator of -77/54 and v?
270
Let v(o) = o**2 - 10*o - 28. Let n be v(12). Find the common denominator of -4 - (117/n - -1) and (-1)/1 - (-76)/(-18).
36
Let d(m) = 3*m + 8. Let x be d(-6). Let k = 7 - x. Suppose 0 = 4*f + 3*h - k - 4, -f + h = 0. What is the smallest common multiple of f and 9?
9
Suppose -3*m - 9 + 21 = 0. Suppose 18 = -0*f + 2*f. What is the least common multiple of m + (-2)/((-8)/(-12)) and f?
9
Suppose -23*u + 1639 = -7400. Calculate the smallest common multiple of 42 and u.
5502
Let h = 102 + -92. Calculate the least common multiple of 66 and h.
330
Suppose 0 = -3*s - b + 79, -4*s - s + 3*b + 113 = 0. Let l = 1240 - 13632/11. Find the common denominator of s and l.
11
Let v = -10 - -15. Suppose -v*o = -8*o - 22152. Let y = o + 73961/10. Calculate the common denominator of y and 31.
10
Let s(j) = -4*j + 90. What is the least common multiple of 22 and s(17)?
22
Let r = 865 + -849. What is the smallest common multiple of r and 11?
176
Suppose -65 + 195 = -5*s. Let x = -11 - s. What is the least common multiple of 11 and x?
165
Let w be (84/35)/((-4)/(-35510)). Suppose -2*f = 4*c - w, -5*c + 2*c = 4*f - 42622. Let p = f - 127955/12. What is the common denominator of -43/14 and p?
84
Suppose 4*v + 6 = 3*o, 3*o + 0*o = -2*v + 6. Suppose 4 = -a + 2*r, -o*r = 2 - 8. Let s(f) = -2*f + 1. What is the least common multiple of a and s(-5)?
22
Let h(a) = a - 4. Let n be h(3). Let c = -9539/372 - -1092/31. What is the common denominator of (83/16)/(-1) - n and c?
48
Let x(l) = l**2 - 2*l + 13. Let s = 32 + -32. Let b be s/(0/(-4) + 2). What is the least common multiple of x(b) and 5?
65
Suppose 0 = 385*d - 377*d - 64. Calculate the lowest common multiple of d and 224.
224
Let w = -97190 - -385561/4. Let v = w + 814. Calculate the common denominator of -5/3 and v.
12
Let m(p) = -p + 12. Let c be m(10). Suppose -i + 4*w = -12, -c*w + 38 = 5*i - 22. Calculate the least common multiple of 21 and i.
84
What is the common denominator of (-340)/(-198)*(-6)/(-5) and (-1 - (-44)/(-9)) + 0 + 6?
99
Suppose -2 = -4*y + 6. Suppose u = -y*u - 60. Calculate the common denominator of -38 and ((-26)/8)/(u/(-32)).
5
Let p(h) = h**2 - h - 1. Let x(n) = n**3 - 7*n**2 - 13*n - 2. Let q = -25 + 22. Let d(o) = q*p(o) + x(o). Calculate the lowest common multiple of 20 and d(11).
60
Let j(x) = x**3 - 3*x**2 + x. Let w be j(3). Suppose -4*r - 36 = -c - w*c, -3*c = 4*r + 15. Let b = 5 - r. Calculate the smallest common multiple of 6 and b.
66
Let m(d) = -d**3 + 13*d**2 + d - 13. Let b be m(13). What is the common denominator of 13/5 and 170/(-8) + 3 + b?
20
Let l(x) = -x**3 + 9*x**2 - x - 36. What is the lowest common multiple of 110 and l(8)?
220
Let q(n) = -n**2 + n + 1. Let z(w) = w**3 + 3*w**2 - 2*w - 4. Let i(g) = -2*q(g) - z(g). Calculate the smallest common multiple of i(-2) and 3.
6
Calculate the common denominator of 89/404 and -9 - 488/(-28) - 5.
2828
Let w = 22 + -27. Calculate the smallest common multiple of w*(-1)/1*7/7 and 10.
10
Let v = 15 - -107. Let g = 799/6 - v. Let b = -3484 - -41777/12. Find the common denominator of b and g.
12
Let h(m) = 26*m + 1644. What is the least common multiple of h(-63) and 3/(15/(-2))*-5?
6
Suppose -2*n - 70 = -4*u - n, -3*n = -2*u + 30. Calculate the common denominator of (u/(-33))/(-3) + 3194/(-264) and 21/4.
12
Let x be ((-541)/20)/(969/(-442)). Let f = -1/190 + x. Let g = 4533/356 + 3/178. Calculate the common denominator of g and f.
12
Let k = -55 + 41. Calculate the common denominator of (-35)/(5/(20/8)) and 7/k + (-34)/(-10).
10
What is the common denominator of 39/2374 and (-1)/(-6)*118*(-69)/230?
11870
Let x be 27327/68 - ((-330)/85 + 4). Let j = x - 419. Let b = 2/1219 - 15883/21942. What i