2
Find the common denominator of (-7)/35*(330/8)/1 and 85/8.
8
Let l = -102/67 - -7485/2144. What is the common denominator of l and 17/208?
416
Let d = -5 + 15. What is the lowest common multiple of d and 35?
70
What is the lowest common multiple of 120*((-11)/2 + 6) and 115?
1380
Let x = -7439/1490 - 16/149. Let l = 977/295 + -25/118. Find the common denominator of x and l.
10
Let r(l) = 4*l**2 + 2*l - 2. Let t be r(1). Suppose 81 = 13*i - t*i. What is the smallest common multiple of i and 4?
36
Let h = -6643 + 232481/35. Calculate the common denominator of h and 32/63.
315
Let d = -3452 + 41495/12. Let p = -3517464 - -56299777/16. Let s = 1273 - p. Calculate the common denominator of d and s.
48
Let m(d) = -2*d**3 + d**2 - 4*d + 19. Let a be m(-13). Let c = -37155/8 + a. Calculate the common denominator of c and 176/42 + 2/3.
56
Suppose -5*w = -5*h - 7*w + 184, -30 = -h + 3*w. What is the least common multiple of 3 and h?
36
Let v(p) = p**3 - p**2 + 7. Suppose 4*a - 33*f - 460 = -29*f, 5*f = 0. What is the least common multiple of v(0) and a?
805
Let l = 29 + -20. Suppose -10 = -r - l. What is the lowest common multiple of 10 and r?
10
Calculate the common denominator of 119/36 and (12 + 3017/(-252))/((-18)/(-64)).
324
Let l = -10760/4491 + 7/998. Calculate the common denominator of -31/102 and l.
306
Let i(n) = n**2 + 14*n + 9. Let s(q) = 9*q**2 + q. Let o be s(1). Let z = o - 18. Find the common denominator of -46/5 and i(z).
5
Let s = -61 - -43. Let r = 23 + s. Calculate the lowest common multiple of r and 11.
55
Suppose 9*m = m - 288. Calculate the common denominator of -3 + ((-112)/m - -1) and 38.
9
Calculate the common denominator of (-258*9/420)/3 and (-10)/((-320)/324) - 0/2.
280
Let j(g) = -g**3 - 10*g**2 + 12*g + 13. Let x(c) = -c + 4. What is the least common multiple of j(-11) and x(2)?
2
Let n = -7911/4 - -63325/32. What is the common denominator of 65/36 and n?
288
Let o = -15/98 + 403/392. Find the common denominator of -15/8 and o.
8
Suppose 4*v = -2*p + 62, -v + 4*p + 38 = -0*v. What is the smallest common multiple of v and 18?
18
Let z be 3*(-1 + 0)*(-280786)/528. Let x = -3159 + 1556. Let o = z + x. Calculate the common denominator of 89/4 and o.
8
What is the common denominator of 31 and (-2)/(-3) - 4996/6360?
530
Let l(o) = 16*o - 832. Calculate the lowest common multiple of l(55) and 72.
144
Let k = -1851641/42 + 44083. Calculate the common denominator of k and 19/9.
126
Let p = -3535/6 + 31747/54. Find the common denominator of 4 + (-1585)/150 - -5 and p.
270
Let w(g) = -g**2 - 7*g - 8. Let d be w(-5). Suppose 3*c + 3*v = 4 + 47, -d*c = -3*v - 14. Calculate the least common multiple of c and 11.
143
Suppose 8*r - 24 = 7*r - k, 2*k - 114 = -5*r. Suppose -r*t + 300 = -12*t. What is the least common multiple of t and 15?
30
What is the common denominator of (-30)/50 + (-1 - 1134/(-340)) and -67/138?
2346
Let y = 25/44 + -347/88. What is the common denominator of (56/64)/(26/8) and y?
104
Suppose 0 = -7*m + 9*m, x - m = 75. What is the least common multiple of 2 and x?
150
Let n(r) = 10*r + 2. Let d be n(3). Let c = d - 10. What is the least common multiple of c and 18?
198
Let s = 23 - 21. Find the common denominator of 36/(-24)*s/9*-16 and -1/3.
3
Suppose 6*q + a = 3*q + 53, -2*a = -q + 6. Calculate the least common multiple of (6/(-9))/(1/(-9)) and q.
48
Let z = -1775 + 288. Let f = 17801/12 + z. Calculate the common denominator of -19/256 and f.
768
Find the common denominator of 615/700*30/(-135) and -139/210.
210
Suppose -2*b - 8 = t + 161, -3*t = 4*b + 499. What is the lowest common multiple of ((-12)/(-14))/((-23)/t) and 2?
6
Let a(k) = k + 10. Let x = 1162 + -1140. Calculate the least common multiple of a(0) and x.
110
Let m = 100 - 133. Suppose -192 - 373 = 5*c. What is the common denominator of -131/12 and (c/(-36))/(11/m)?
12
Suppose -q + 0*q + 20 = 0. Let l be (-905)/3*q/(-75). Let t = -10891/144 + l. Calculate the common denominator of t and 69/2.
16
What is the common denominator of ((-20)/2040)/(4/66) and -53/153?
612
Let s = -19545 - -351901/18. Let d be (-9)/(-3) - (-7309)/(-12). Let n = 2481/4 + d. Find the common denominator of s and n.
18
Let a(c) = -c**2 + 88*c**3 - 1 + 1 - 86*c**3. Let o be a(2). Let f = o - 7. What is the smallest common multiple of f and 3?
15
Let s be 120/(-9) + (-2)/3. Let w be (-16)/8 + (-59079)/s. Let q = w + -4214. What is the common denominator of 35/2 and q?
14
Let d = 9184583018/15 + -8780577892063/14340. Let k = d + 8126. Let p = -56885/2868 - k. Calculate the common denominator of p and 67/8.
24
Let p(a) = -a**2 - 14*a + 3. Let c be p(-13). Let v = c + -11. Suppose -6 = -5*b - 1. Calculate the least common multiple of v and b.
5
Let a(x) be the first derivative of -x**3/3 + x**2/2 - 8*x + 6. What is the common denominator of -15/7 and a(4)?
7
Suppose 6*w + 0 = 12. Suppose -5*a = 4*c, 0*c - c - 5 = 0. Calculate the smallest common multiple of a and w.
4
Let c(o) = -o - 1048. Let y be c(0). Let p = y + 23099/22. Calculate the common denominator of p and 158/(-120) + (-2)/(-3).
220
What is the common denominator of -3 - (-13 - -10)*215/192 and -75/4?
64
Let n be 1*4/(-4) + 0. Let b be 0 + n + 15 + 28. Calculate the least common multiple of 216/b + (-2)/14 and 1.
5
Let v be (2/6)/((-6)/132)*-3. Suppose -3*r + 5*f + 75 = 0, -2*r + 3 = 5*f - v. What is the lowest common multiple of 12 and r?
60
Suppose -2*g - 3*g = -46115. Let n = g + 1355. Let p = 232633/22 - n. What is the common denominator of -121/6 and p?
66
Let p = 98/1381 - -3670903/16572. Let u = -445/2 + p. What is the common denominator of 278/(-80) - 4/10 and u?
24
What is the lowest common multiple of 21 and (-14)/35 + (-4669)/(-35) + 0?
399
Let y be 8/(-12) + (-1482112)/(-6). Let k be y/32 + 2 + -5. Let l = k + -7713. Find the common denominator of -79/6 and l.
48
Let n be (-99)/(-6) - 6/(-12). Suppose 152 - n = 5*f. Calculate the lowest common multiple of f and 12.
108
Let h be (5/(-20))/(2/(-8)). Let j = 5 - h. What is the least common multiple of j and (-2 + 34/6)*6?
44
Let x = 55 - 58. Let h = x - -19. Calculate the smallest common multiple of h and 8.
16
Let l = -42719/12 + 3557. Let q = 4741 - 85307/18. What is the common denominator of l and q?
36
Suppose -42*s + 36*s = -630. What is the least common multiple of s and 7?
105
Let u = -8 - -13. Suppose -39*i + 24 = -31*i. Calculate the lowest common multiple of u and i.
15
Let r(m) = -3*m**2 + 3*m - 8. Let h be r(7). Calculate the common denominator of (h/(-2))/(2 + -3 + 4) and -47/5.
15
Let a be ((-18)/8)/((-198)/(-36479172)). Let y = a - -414452. Let c = 81 + y. Calculate the common denominator of c and -23/10.
110
Let f be (-10)/(-25) - (-18)/5. Let c(z) = -z + 6*z - f*z + 12. What is the lowest common multiple of c(0) and 6?
12
Let c = 12 + -4. Suppose -5*b - 3 = -c*b. Calculate the least common multiple of 22 and (4/(-8))/(b/(-20)).
110
Calculate the common denominator of 3/((-144)/748) - 1/4 and ((-123)/(-4))/(-4 - 2).
24
Let m = -16985 + 985089/58. Find the common denominator of -19/4 and m.
116
Let b(y) = y**3 + 12*y**2 + 34*y - 2. What is the least common multiple of b(-6) and 70?
70
Let y(i) = -i**3 - 6*i**2 + 10*i + 9. Let j be y(-4). Let r = j - -69. What is the smallest common multiple of r and 1?
6
Let d = 52 + -42. Suppose -d*g + 5*g = -60. Calculate the smallest common multiple of 2 and g.
12
Let t be 4/18 + (-104)/(-18). Let p = t + -3. Calculate the common denominator of -32*15/(-18) - p and 119/6.
6
Let j(o) = -o**2 - 6*o + 15. Let q be j(-8). Let p be (-3)/(-1)*(-2)/3. Calculate the smallest common multiple of 3/p*(-3 + q) and 5.
30
Let g = -107/6 - -1286/69. What is the common denominator of g and -53/8?
184
Let n be (-6416)/14 - (-32)/112. Calculate the common denominator of 1*(-26)/4*-1 and n/96 - 7/(-21).
16
Let g(k) = -k**2 - 5*k + 1. Let t be g(-4). Suppose 35 + 10 = t*z. Calculate the smallest common multiple of 2 and z.
18
Let y = -1893 + 1910. What is the least common multiple of y and 187?
187
Suppose 1375 = 3*s - 5*d - 8922, -s + 3434 = -2*d. Find the common denominator of -131/12 and 2 + (s/144)/((-40)/(-6)).
60
Let l(j) be the second derivative of -4*j**3/3 - 7*j**2/2 + 4*j. Let a be l(11). What is the common denominator 