 - (-187)/1. Let a = 2187 + -1511. What is the common denominator of 2/(3 - a/q) and -1/24?
168
Suppose -581 - 721 = 6*m. Let x = -133 - m. Calculate the lowest common multiple of 12 and x.
84
Let x(d) = d**2 - 25*d + 310. Calculate the lowest common multiple of x(12) and 20.
1540
Let i(x) = -x + 16. Let u be i(-6). What is the common denominator of ((-15)/(-216))/(1/u) and -43/4?
36
Find the common denominator of 67/4830 and (-552)/368 + -2 + (-645)/(-198).
53130
Let d = -73 + 39. What is the common denominator of d/51 + (-235)/66 and -61/18?
198
Let l be 2 - (-4)/(4/3). Let c(o) = -o**2 + 6*o. Let v(q) = -q**3 + 5*q**2 + 40*q - 31. What is the lowest common multiple of c(l) and v(9)?
5
Let x(w) be the third derivative of 0 - 3*w**2 + 0*w - 1/24*w**4 + 13/6*w**3. Calculate the lowest common multiple of x(-9) and 68.
748
Suppose -7*t - 6*t = -2574. Let d = -162 + t. What is the smallest common multiple of 102 and d?
612
Let n = -35 - -11. Let v be (-142)/186 + 8/n. Let k = v + -1823/62. Find the common denominator of 83/22 and k.
22
Suppose -11*a - 40 - 246 = 0. Let c = 32 + a. What is the least common multiple of 10 and c?
30
Let l be (1 + -26)/(8/(-16)). Let v = l + 10. Calculate the least common multiple of (-52)/(-39) + (-124)/(-6) and v.
660
Let z = 258 - 120. Calculate the least common multiple of z and 3 - (-34 - -12)*2/4.
966
Let k be ((-148)/8)/(-3*(-3)/18). Let h = k + 48. Calculate the common denominator of -61/39 and h.
39
Let n = 35425059/10 - 3537977. Let c = n + -4520. Calculate the common denominator of 95/8 and c.
40
Suppose 4*m = 2*c + 70, 2*m - 3*m + 5*c + 13 = 0. Let y(i) = -5 - 188*i + 2*i**2 - 8 + 145*i. Calculate the least common multiple of m and y(22).
18
What is the common denominator of -89/3658 and 12 + 61*(-15)/70?
25606
Let f(r) = 19*r - 3. Let z(c) = -27*c + 5. Let l(o) = -7*f(o) - 5*z(o). Calculate the smallest common multiple of l(7) and 35.
70
Find the common denominator of (-12*(-3)/6792)/(48/(-488)) and 59/22.
12452
Suppose -k = -3*m - 2*k - 2, m - k - 6 = 0. Let p(r) = 92*r**2 - 2. Calculate the lowest common multiple of p(m) and 72.
360
Let i = -22871/12 + 1909. Suppose -3*y - 2*m = -34906, 38644 = 5*y + 2*m - 19538. Let r = -279431/24 + y. Find the common denominator of r and i.
24
Let o = 103650507/640 + -161954. Find the common denominator of 111/40 and o.
640
Let i(d) = 5*d**2 + 109*d + 826. Calculate the smallest common multiple of i(-8) and 44.
6028
Calculate the common denominator of ((-13)/3354)/(3/(-4))*141/38 and -4/57.
2451
Let t be (-2 - 2/(-2))/(7/455). Suppose -l + 4*b = l + 186, 0 = 5*b - 25. Let n = t - l. Calculate the lowest common multiple of 10 and n.
90
Let c be (-87)/(-30) + -3 - 206/(-210). Let k = -9/7 - c. Calculate the common denominator of -35/48 and k.
48
Let k(a) = -a**2 + 22*a + 9. Suppose -f + 71 = 3*l - 0*f, -64 = -2*l - 4*f. Calculate the lowest common multiple of 10 and k(l).
90
Let i(q) = q**3 - 55*q**2 + 253*q + 140. Calculate the least common multiple of 1102 and i(50).
5510
Let v = 368443/35 - 10527. What is the common denominator of v and -23/11?
385
Let m = -41 + 47. Suppose -z = 22*s - 23*s - 72, 416 = 5*z + 3*s. What is the lowest common multiple of m and z?
474
Let l(x) = x**3 + 25*x**2 + 63*x - 62. What is the least common multiple of 244 and l(-22)?
244
Let t be 2 + 0 + 1 + 1. Suppose -23 = -t*w - 19. Suppose 9 + w = y. What is the smallest common multiple of y and 16?
80
Let k = -528 - 959. Let a = 4299941/9 - 476276. Let q = k + a. Find the common denominator of 46/21 and q.
63
Suppose 2*d + a = 201, a - 2*a = -2*d + 207. Let i = d + -3067/30. Calculate the common denominator of -109/6 and i.
30
Suppose 0 = -u - 4, -4*k - 3*u + 0 - 4 = 0. Calculate the smallest common multiple of (-6 + k)/(1 - 2) and 15 - (26 + -29 - (-4)/4).
68
Let a(b) = -10*b + 30. Let u be a(3). Suppose -5*c + 148 + 22 = u. What is the lowest common multiple of 18 and c?
306
What is the least common multiple of (1 + 463)*((-792)/(-32) + -16) and 50?
20300
Suppose 73*r + 825 = 158*r - 74*r. Suppose 6 - 36 = -5*k. Calculate the smallest common multiple of k and r.
150
Suppose -3*v = 5*x + 28, -2*v - x - 6 = -4*x. Let i = 366 - 360. What is the common denominator of i*3/(-66)*86/v and 10/9?
99
What is the least common multiple of 9 and 1/((-3)/(-11745)) + 0*9/18?
3915
Let i(f) = 9*f**3 + 5*f**2 - 414*f + 3526. What is the least common multiple of i(9) and 14?
47362
Calculate the common denominator of 4/(-26)*4/((-48)/(-69)) and 115/14.
182
Let o = -2094 + 75395/36. Calculate the common denominator of 85*(-1)/45 - (-2)/(-9) and o.
36
Let h = 6349 - 5089. Calculate the lowest common multiple of h and 630.
1260
Let f = 71 + -90. Let i(o) = o**2 + 18*o - 1. Let l be i(f). Suppose 7*r = 10*r - l. Calculate the smallest common multiple of r and 10.
30
What is the common denominator of (3220/48)/(-7) + 3 and (9/50)/(984/(-30340))?
60
Let d(c) = 11*c**2 - 16*c + 26. Let p be d(2). What is the common denominator of -67/55 and ((-2)/55 + 0)*1083/p?
55
Let h = 28 + -29. Calculate the common denominator of (-5 - h) + (-1125)/(-120) and 4/(-14) - (-486)/(-210).
40
Let p = 152770/77 - 1984. Let v = 2059/770 + p. Let x = 3533/328 - 47/41. Calculate the common denominator of v and x.
40
Let p = -35275069/322 - -109550. What is the common denominator of p and -9/46?
322
Let h be 4/(-2) - (-1317309)/54. Let b = h + -24386. Let g = -30132 + 843585/28. What is the common denominator of g and b?
252
Let y(j) = -5*j + 19. Let n be y(3). Suppose n*b = -m - 571, -m - m = 6. What is the common denominator of (2/(-4))/(20/b) and -41/7?
140
What is the common denominator of 119/696 and 1354/(-4062) - 2/((-232)/102)?
696
Suppose 0 = 49*r + 77*r - 31500. What is the smallest common multiple of 100 and r?
500
Let j = -9/845 + -20753/272935. Calculate the common denominator of ((-392)/(-10))/4 + 1 and j.
1615
Let p(t) = 10*t + 51. Let m be p(-7). Suppose 5*x + 4*y - 3*y = 88, 0 = 5*x - 3*y - 96. Calculate the smallest common multiple of x and 1 - (-2 - -4) - 0 - m.
18
Let f be 38/57 + 2732161/(-90). Let o = -30356 - f. What is the common denominator of -47/99 and o?
990
Suppose -56 - 190 = 6*j. What is the common denominator of 1/63 and (j/(-18))/(2 - 3)?
126
What is the common denominator of (-1635)/504 - (-4)/14 and 18 - 0 - (-226984)/(-12240)?
360
Let z = 3272/45 - 358/5. Calculate the common denominator of 57/1828 and z.
16452
Suppose 7 + 18 = -5*q, 5*k + 4*q = 1745. Let a = 620 - k. Calculate the smallest common multiple of a and 21.
1869
Let l = 7/2670 + 32447/184230. Calculate the common denominator of 7/81 and l.
1863
Let s = -88 - -128. Suppose -27*a = -3291 + 252 + 609. Calculate the least common multiple of a and s.
360
Let p = 9676 + -145063/15. Let u = 2934/816437 - 14/1363. Let l = u + 4301/16173. What is the common denominator of p and l?
135
Let g(d) = -d**3 + 5*d**2 + 7*d + 14. Suppose 9*o - 13*o + 56 = 0. What is the least common multiple of o and g(6)?
140
Let y be (0 - (2 - 5)) + 45. Suppose 9*l + y = 15*l. Find the common denominator of 43/6 and (-152)/(-6) - l/((-48)/(-18)).
6
Suppose -5*m + 267 = 22. Find the common denominator of -49/17 and (-3)/3*-1 + (-427)/m.
119
Suppose 6*o = -34 - 14. What is the common denominator of 43/40 and ((-140)/25*20/o)/(-10)?
40
Let m(n) = -n**3 - 6*n**2 - 7*n + 24. Let d be m(-5). Find the common denominator of ((-1)/(5 + 1))/(d/101) and 41/4.
204
Let l be 34568/840 + 10/75. Let b = l + -292/7. What is the common denominator of -2 - (-1 + (-12)/(-11)) and b?
77
Let i = -4062 + 4089. Calculate the least common multiple of 10 and i.
270
Let t = 365893/18 - 20333. Calculate the common denominator of t and (0 - 2) + -1 + 1556/336.
252
What is the common denominator of (-362)/7240*(-156)/82 and -41/14?
2870
Suppose 0 = 74*s - 69318 - 109762. What is the smallest common multiple of 1320 and s?
14520
Let w(d) = d + 12. Let z be w(-14). Let l = -501/55 - 1/11. What is the common denominator of l and (-2*z/24)/(3/(-231))?
30
Let b(y) = y**3 + 12*y**2 - 29*y - 19. Let h be b(-14). What is the smallest common multiple of -40 + 57 - (h - -1) and 3?
21
Let u = -5346 - -1427386/267. Find the common denominator of u and -83/105.
9345
Suppose 3*f + 0*p + 1 = p, 2*p = 2. Suppose 