 j?
120
Suppose -5*u + 48 + 2 = 0. Let t(a) = -a**2 - 20*a + 3. Calculate the least common multiple of (-1 - (-14)/10)*u and t(-19).
44
Suppose 0*v - 3*v = -15, 4*a - 3*v = -1583. Let i = a + 2407/6. Calculate the common denominator of i and 9/8.
24
Let v = 17725/1798 - 335/31. What is the common denominator of v and ((-94)/120)/((-2)/6)?
580
Let a(d) = -8*d + 2. Let l be (56/(-35))/((-4)/10). Calculate the common denominator of -2 - (-19)/8*2 and a(l).
4
Let g = -215135/18 - -11947. Let o = 23/168 + 1751/504. What is the common denominator of o and g?
18
Let m be (6/12 + 0)*(1 - -43). What is the smallest common multiple of (((-2)/(-3))/(-1))/(m/(-297)) and 6?
18
Let g(m) = -m**2 - 14*m - 14. Let b = 56 + -66. Calculate the common denominator of g(b) and 1/9.
9
Let m(h) = -312*h**3 - 2*h**2 - h + 19. Let g be m(-7). Let r = -13474843/126 + g. Calculate the common denominator of 125/18 and r.
126
Suppose -105 = 16*x - 21*x. Let g = x + 11. Calculate the smallest common multiple of 10 and g.
160
Let o = 6603 + -198011/30. What is the common denominator of o and (1449/40)/(-7) - 8/(-2)?
120
Suppose -22 = -2*k + 2*x, 4*k - 2*x = -0*x + 42. Let z be 5*((-38)/k - -3). Calculate the common denominator of 63/16 and 84/(-30) - 2/z.
80
Suppose -4*q - 48 = -2*a, 5*a + 5*q = 37 + 53. What is the smallest common multiple of 9 and a?
180
Suppose 4*f + 2*u = -0*u + 16, 0 = f - 4*u - 13. Suppose -a + 4*v + 32 = 0, -f*v = -3*v + 8. What is the lowest common multiple of 18 and a?
144
Find the common denominator of (-1481)/192 - (17 + -24) and 97/8.
192
What is the lowest common multiple of 84 and -1 - -163 - (-48)/136*-17?
1092
Suppose 3*s - 10 = s. Let t(d) = -3*d + 19. What is the lowest common multiple of t(s) and 2?
4
Calculate the common denominator of (80/(-28))/(3/(-7)) and ((-16)/(-56) - 11/42) + 48/(-12).
42
Suppose -5*j = -4*v - 0*v + 40, -v + 3*j = -17. Suppose 12*y - 13*y - v*d = -11, 2*y - 4*d = 64. What is the smallest common multiple of y and 12?
156
Let k(y) = -y - 1. Let j be 0 + 4/(-2) - -13. Suppose j - 1 = 5*l. What is the lowest common multiple of l and k(-5)?
4
Let q = 5987641892 + -122435301476915/20448. Let n = 1/6816 + q. What is the common denominator of 69/14 and n?
126
Calculate the common denominator of -1/57 and (-1)/7 + (-3535)/(-735).
57
Let s(y) = 3*y - 7. Let n(v) = -v - 1. Let d be n(2). Let g be s(d). What is the common denominator of 1/21*2136/g and -13/10?
70
Suppose 2544 = -2*k + n, -1756 = 2*k - 4*n + 782. Calculate the common denominator of -41/14 and k/266 + (-2 - 1).
14
Let m = 7295/519912 - -59/1566. Calculate the common denominator of m and -49/5.
9960
Suppose 2*s + 4140 = 4*b, -2*b - 2074 = s - 0*s. Let p = s - -8349/4. What is the common denominator of p and (-119)/(-1785)*(-2 - 219/(-2) - 1)?
20
Suppose -2*g + 20 = 10. Let u = g + 11. Suppose 3*b - 90 = -0*b. Calculate the least common multiple of u and b.
240
Let j(a) = -230*a - 190. Calculate the least common multiple of 22 and j(-15).
35860
Let w(k) = k**2 - 2*k - 30. What is the least common multiple of 108 and w(-7)?
1188
Let v be (702/(-9))/(16/(-311)). Let t = 1523 - v. Find the common denominator of t and -178*(1/(-12))/1.
24
Let f = -10359/2 - -315970/61. Find the common denominator of f and 25/54.
3294
Let m = -2339/96 - -505/32. Find the common denominator of m and 1 + -2 + (-55)/14.
84
Let l(s) = -s**3 - 11*s**2 - 17*s + 11. Calculate the smallest common multiple of l(-9) and 58.
58
Let n be (-4854)/63 - (5 - 3). Let q = n + 244/3. Calculate the common denominator of 20/3 and q.
21
Let u(l) = -12*l - 20. Suppose 5*j + t - 39 = 0, 3*j + 3*t - 29 = -j. What is the lowest common multiple of u(-2) and j?
8
Suppose 32*v + 3190 = 61*v. What is the smallest common multiple of 22 and v?
110
Find the common denominator of 23/4 and (1005/430)/((-9)/(-3)).
172
Let p be 30/4*(-23 + 1). Find the common denominator of p/88*(-3 + 0) and -35.
8
Let o be (-24)/84 - (-172)/14. Let v be (o/70)/(96/(-450)). Let n = -1459/56 - v. Find the common denominator of n and 83/8.
8
Let v = -48/91 + -2437/728. What is the common denominator of 37/4 and v?
8
Calculate the common denominator of 25/13 and (-18)/4*(1 - 3/1).
13
Let l = -31657 + 6553067/207. Find the common denominator of l and 59/9.
207
Calculate the least common multiple of 50 and (-344)/(-40) + 6/(-10).
200
Let t(a) = 2*a + 186. What is the lowest common multiple of t(-37) and 4?
112
What is the lowest common multiple of (110/45)/((-4)/(-36)) and 2?
22
Let w = 1224/73 + -249521/15330. Find the common denominator of -71/385 and w.
2310
Suppose 5*j = 5, j - 7 = -2*i - 2*j. Let r be (-2)/(-4)*(11 - -1). Let y = r + i. Calculate the smallest common multiple of 6 and y.
24
Let a = 9247/10 - 920. Find the common denominator of (6/((-24)/142))/(-3 + -22) and a.
50
Suppose -2 = 2*d - 30. Calculate the common denominator of 133*(22/12 - 2) and (d/(-40))/(3/51).
60
Calculate the least common multiple of 38 + -14 + 7 + 15/3 and 45.
180
Suppose -l = -3*k - 2, 0 = 5*l + 5*k - 73 + 3. Let m(u) = u**2 + 6*u - 11. Let t be m(l). Calculate the least common multiple of (t/(-12))/(2/(-3)) and 24.
264
Let y be (72/(-72))/(-1*(-1)/(-85)). Let z = y + -74. Calculate the lowest common multiple of 11 and z.
11
Let a = -75 - -147/2. Find the common denominator of (767/1416)/((-4)/66) - -5 and a.
16
Let f = 27 - 15. Let u = 53 - 39. Suppose -u = -4*v + 3*r, -v + r - 1 = -5. What is the lowest common multiple of f and v?
12
Let h = -2963562077/11418 + 45546/1903. Let z = 257336 + h. Let r = 2199 + z. Calculate the common denominator of r and -73/4.
12
Suppose 2784 = -k - w, -k = -4*w + 1441 + 1353. Let p be (1/(-3))/(k/6). Let m = p + -48771/22288. Find the common denominator of -87/10 and m.
80
Let d = -18703/12 + 1561. Find the common denominator of d and -46*1/(-20) - 3.
60
Let d(s) = s**2 - 9*s + 6. Let x = 4 + -1. Suppose 8*i - 100 = x*i. What is the smallest common multiple of d(9) and i?
60
Let w = 2/1679 + -31911/8395. Let f = 1079 - 8693/8. Calculate the common denominator of w and f.
40
Let l = -479767/306 + 14128/9. Find the common denominator of l and -63/5.
170
Suppose 3*q + 10 + 8 = -3*w, 0 = -q - 5*w - 18. Calculate the common denominator of ((-282)/36 + q)*8/(-10) and -26/3.
3
Let y be (16/(-10))/((-22)/55). Suppose 10 = -g + y. Let x(i) = i**3 + 5*i**2 - 6*i + 6. Calculate the smallest common multiple of 20 and x(g).
60
Let s be -51*(1 + 4/(-3)). Suppose -2*d + 2 = -2, 3*h - 4*d + s = 0. Let x = -3196 - -25645/8. Find the common denominator of h and x.
8
Let t = 4093/520 - 16/65. What is the common denominator of -27/326 and t?
1304
Let i = 665 + -3382/5. Calculate the common denominator of i and (-1 + 0 + -1)*(-153)/126.
35
Calculate the common denominator of (-2730)/(-84)*(84/86 - 1) and 3/172.
172
Suppose -170 = 13*k - 30*k. Calculate the least common multiple of k and 8.
40
Let g be 0 + 3/(168/1018). Let x be (-152)/(-126) - (-3 + 100/36). Let q = g - x. Calculate the common denominator of q and -25.
4
Suppose -98 = -4*q - 58. Calculate the smallest common multiple of 76 and q.
380
Let a = 44 + -51. Let k = a + -1/2. Calculate the common denominator of 19/8 and k.
8
Let y = 20 - 12. Let v be ((-6)/(-27) + 0)*324/72. Let u = y + v. What is the lowest common multiple of 9 and u?
9
What is the lowest common multiple of 3 and 938/70 + (-6)/(-10)?
42
Let s = 1298003/50 - 25962. What is the common denominator of (-1*(-35)/500)/((-3)/36) and s?
50
Calculate the lowest common multiple of (-3)/12 - 1452/(-48) and 39.
390
Suppose -7*q = -8*q + 44. Calculate the common denominator of -89/20 and (-2616)/594 + 8/q.
180
Suppose -13*x = -9*x - 92. Suppose -x*j + 1488 = -7*j. Calculate the least common multiple of 9 and j.
279
Let r be 92/212 - (-4 + 1). Let s = r + -951/848. Calculate the common denominator of s and ((-3)/4)/(27/(-426)).
48
Let c = -62 - 386. Let z = c + 3991/9. Let x = -101/39 + 12/13. Calculate the common denominator of x and z.
9
Let l = 450462699611/5961 + -1333186/1987. Let m = -107457218453/1422 + l. Let w = 4/711 + m. Find the common denominator of -14/9 and w.
18
Let i(c) = -4*c**3 - 2*c**2 - 6*c - 2. Let o be i(-4). What is the common denominator of (2 - o/8)*38/(-95) and 43/4?
4
Let j = -1992845/112 + 177