09/21444 - -1/1787. Find the common denominator of u and v.
132
Let r(a) = -2*a + 2. Let h be r(-12). Suppose -1 = -3*v + h. Let d(j) = -j**3 + 3*j**2 - 1. What is the least common multiple of v and d(2)?
9
Let p = 16959/54940 + -36/335. What is the common denominator of 97/40 and p?
1640
Let x(n) be the second derivative of n**3/2 - 4*n**2 + 5*n. What is the lowest common multiple of x(4) and 168/44 + (-2)/(-11)?
4
Let q = -716 + 1250. Let d be (-49098)/90 - 3/(-9). Let m = d + q. What is the common denominator of m and 139/6?
30
Suppose 45*u - 50*u + 110 = 0. Suppose -2*b = 4*o - 3*b - 91, -119 = -5*o + 3*b. Calculate the least common multiple of u and o.
22
Let a be 4/(-12) + (-25)/(-6)*2. Suppose -14 = -a*g + 34. Calculate the lowest common multiple of 18 and g.
18
Suppose -39 = 4*r - 7. What is the common denominator of r/(-56)*(-1043)/6 and -27?
6
Let o be 1*7 - (7 + -9). Let y be (-8242)/(-90) - (-2)/o. Let n = y - 487/5. What is the common denominator of n and -101/8?
40
Let l be 8/(-12) + (-9638)/(-12). Let h = l - 9685/12. Let f = 39961/6 + -6635. What is the common denominator of h and f?
12
Let d = 42 + 23. Suppose 3*y + 0*y = 2*j + 36, d = 5*y - 5*j. Let h = 1 + 2. Calculate the smallest common multiple of h and y.
30
Let y = 716 - 662. Calculate the least common multiple of 30 and y.
270
Let b(j) = 2*j**2 + 6*j - 5. Let g be b(-4). Suppose -3*t + 140 = t - g*x, 20 = -5*x. Calculate the lowest common multiple of t and 12.
96
Let o = -136 - -180. Calculate the smallest common multiple of 204 and o.
2244
Suppose 3*a - 18 = 3*d, -6*a - 2*d + 42 = -2*a. What is the smallest common multiple of 144/14 + 2/(-7) and a?
90
Let k(f) = -f**3 + 12*f**2 - 10*f - 6. Let p be k(11). What is the lowest common multiple of 128/8 + (-4)/(-2) and (-10)/2*(-14)/p?
126
Let h(b) = b + 12. Let o be h(-13). Find the common denominator of (2/(-20))/((-1)/(-19)) and (-3 - o) + 321/36.
60
Let p = -479 + 481. What is the least common multiple of p and 28?
28
Let i = 478 + -476. What is the smallest common multiple of 282 and i?
282
Suppose 4*k + 10401 = -3*l, 4*k + 5193 = 2*k - 3*l. Let u = -70318/27 - k. Calculate the common denominator of u and -7/18.
54
Let w be (-1)/(-2) + 35/(-10). Let n = -4 - -12. What is the least common multiple of n and (-10)/w + 14/21?
8
Let b(v) = v**2 - v + 8. Suppose -10 = -5*o + 40. What is the smallest common multiple of b(0) and o?
40
Suppose -4*f + 3*a + 7 = -0*f, 4*f = -5*a + 31. Let c = -377 + 177. What is the common denominator of -42 and f/(-2) + c/(-55)?
11
Let r(l) = 2*l - 2. Suppose -45 - 131 = -8*m. Calculate the smallest common multiple of r(5) and m.
88
Let p be (-10 - -7)*(-11)/3. Let u = p + -8. Suppose -5*m - 22 = -7, 5*m - 9 = -u*x. What is the smallest common multiple of 18 and x?
72
Let y = 817959691/748 + -12240310/11. Let z = y - -19227. Calculate the common denominator of -47/12 and z.
204
Let m = -76 + 45. Let z = m - -35. Calculate the smallest common multiple of 7 and z.
28
Suppose 74 = 5*v - 4*g, -4*v = v + g - 69. Suppose -3*n = w - 1 - 10, w - 9 = -2*n. Let l(q) = 3*q. What is the least common multiple of l(n) and v?
42
Suppose 16 + 14 = 5*q. Let a = 13 - 8. What is the common denominator of 74/9 and 5/q*2/a?
9
Let i = 21659/6 - 3594. Find the common denominator of i and -91/96.
96
Let t be 8/((9 - 3) + -4). Suppose 129 = -t*o - 3679. Let y = -3861/4 - o. What is the common denominator of y and -77/2?
4
Let n(p) = -20*p**3 - 5*p**2 + 8*p - 5. Let a be n(-6). Let c = a - 44995/11. Calculate the common denominator of c and 20/9.
99
Let h = -403/2 - -180. Calculate the common denominator of h and ((-11)/3)/((-32)/(-336)).
2
Let i = -3/140 - 9913/1260. Calculate the common denominator of i and 91/10.
90
Let f(t) = 3*t - 43. Let m be f(21). Calculate the smallest common multiple of 13 and (-1)/(3/4)*(-120)/m.
104
Let t(a) = a**2 + 29*a + 220. Suppose -175 = -8*q + 3*q + 5*z, 0 = 5*q - 2*z - 190. Calculate the lowest common multiple of t(-16) and q.
120
Calculate the common denominator of (2/(-7))/(10395/(-1127) - -9) and 107/12.
36
Let w = 44869 + -653202901/14558. Let k = 735189/145580 - w. Find the common denominator of k and 56/45.
180
Let w(j) = j**3 + 19*j**2 + 32*j - 32. What is the least common multiple of w(-17) and 68?
68
Let s = 1 - -12. Let l = s - 10. What is the least common multiple of l and ((-18)/15)/(2/(-5))?
3
Let j be 0 - 4 - (-7 - 12). Let y be (18/10)/(j/25). Suppose u - 28 = -y*u. What is the lowest common multiple of u and 11?
77
Let k = -2/3655 - -32959/116960. Calculate the common denominator of -91/20 and k.
160
Let j(x) = 5*x - 15. Let p(n) = -5*n + 16. Let k(b) = 3*j(b) + 2*p(b). Calculate the smallest common multiple of k(3) and 5.
10
Suppose -w = 2*i - 42, -3*i - 5 + 2 = 0. Let l = w - 0. Calculate the lowest common multiple of l and 2.
44
Let u = 11 + -14. What is the smallest common multiple of 6 and (-27)/u - (-12)/(-4)?
6
Suppose 0 = 5*w + 12 - 2. Let l be 80/(-45) + w/9. What is the smallest common multiple of l*(-4)/(-8)*-22 and 20?
220
Let c = 1087711/64 - 16996. Find the common denominator of c and -121/48.
192
Let i(d) = -5*d**2 + 19*d - 19. Let k be i(15). Let t = -13727/16 - k. What is the common denominator of t and -1/16?
16
Suppose -3*l - 31 = -5*f + 223, -52 = -f + l. Let x = -2133/50 - -29/25. What is the common denominator of x and f?
2
Let t = 15 + 10. Let h be 10/t*(2 - 12). What is the common denominator of 56/9 and h/5*(-30)/21?
63
Let d = 46/91 + -13747/1092. Let l = -620/3 + 16075/78. Calculate the common denominator of d and l.
156
Calculate the common denominator of 70/27 and 13 + -9 - 5 - (-233)/192.
1728
What is the common denominator of 49/9 and 1/(-28)*((-164)/12 - 1)?
63
What is the common denominator of -1 - 2 - (-6516)/432 and -105/38?
228
Let p(a) = a**2 - 14*a + 9. Let b(d) = d**2 - 14*d + 8. Let o(t) = -7*b(t) + 6*p(t). Calculate the lowest common multiple of 12 and o(12).
132
Let m = 92450/11 - 4183851/506. Let g = 654/23 + m. Let r = g - 170. What is the common denominator of 35/12 and r?
12
Let n = -1 + 3. Suppose -9 = -x - 3*f, n*x = x + 2*f - 6. Suppose -h + 2 + 0 = x. What is the smallest common multiple of h and 10?
10
Let s = -28 + 36. Let b = 464 - 456. What is the least common multiple of b and s?
8
Let a(l) = -l**3 + 4*l**2 - 2*l + 3. Let z be a(5). What is the common denominator of (42/(-28))/(10/z) and 1/(-5)*34/4?
10
Let i(p) = -2*p - 6. Let g be i(-4). Suppose 6*c + 4*s + 5 = 3*c, 0 = g*c + s. Suppose -h = -7 - c. What is the lowest common multiple of h and 6?
24
Suppose -6*w = -5*w - 5*s - 19, 0 = 2*s + 6. Let m(n) = -n**3 + 2*n**2 + 3*n. Calculate the least common multiple of m(-2) and w.
20
Let h = -21 + -3. What is the common denominator of (-2)/8 + (-50)/h and (-259)/(-126) - (-3 + (1 - -4))?
18
Let w(k) = k**3 - 10*k**2 - 12*k + 13. Suppose 0*h - 112 = 4*h. Let z = -17 - h. What is the lowest common multiple of 8 and w(z)?
8
Calculate the lowest common multiple of 24 and 20/(-6)*(-240)/20.
120
Let o be (-1461)/(-982) - 3/2. Let h = -17251/5401 - o. Calculate the common denominator of (-83)/20*(3 - 5) and h.
110
Suppose -6*n = -4215 - 4869. What is the lowest common multiple of 6 and n?
4542
Calculate the common denominator of (3/18)/(234/1495) and -31/24.
216
Let c(j) = 3*j - 60. Let k(w) = -4*w + w**3 - 5*w + 9 + 6*w**2 + 3*w. Calculate the least common multiple of k(-7) and c(26).
18
Suppose 11*p = -j + 7*p - 2418, -2*j + 2*p = 4786. Let t = j - -9515/4. What is the common denominator of t and 61/20?
20
Let u = -29 + 14. Let p(j) = 10*j**2 - 8*j + 12. Let y be p(u). Let m = y + -14339/6. What is the common denominator of m and 65/6?
6
Let j be (30/45)/((-2)/9). Suppose -3*n + n + 16 = 0. What is the smallest common multiple of n and j - (1 + -2) - -16?
56
Suppose 2*w - 4*w - 39 = -3*v, -w = -v + 13. Let t = -16 + v. Calculate the smallest common multiple of 6 + t/3 - -3 and 20.
40
Let g(r) = r**3 + 4*r**2 - 2*r + 19. Calculate the least common multiple of 35 and g(-5).
140
Let d be -2 - (-147)/(-6)*-66. Let n = d + -25803/16. What is the common denominator of n and (121/(-12))/(33/33)?
48
Let k = 26 - 23. Let u(z) = -k - 6 - 3*z + 2 - 5. What is the least common multiple of 6 and u(-6)?
6
Let g = 2391 + 489. Let x