374
Let t be (20637714/1050 - 6)*5/(-2). Let k = 49124 + t. What is the common denominator of k and -43/14?
70
Let y be 1 + (-6)/9 - 329/1407. Let q be (-14135)/(-6)*(-2)/1340. Let i = y + q. Find the common denominator of i and 89/10.
60
Suppose -4*s - 5*h = -47, -h = -2*s + 16 - 3. Suppose s = 2*t - t. Calculate the smallest common multiple of t and 160/96 - (1 + (-14)/6).
24
Find the common denominator of -73/288 and 0 + 248/6 - 5/(-30).
288
Let p = -157811/60 + 13161/5. What is the common denominator of 16/9 and p?
180
Let a = 10 + 0. Suppose -32*v + 37*v + 10 = 0. What is the smallest common multiple of a and 5*3*v/(-10)?
30
Let k(w) = w**2 + 8*w - 5. Let d be k(-9). Suppose q - 57580 = -d*q. Let z = 368457/32 - q. Find the common denominator of z and 73/10.
160
Let g be (-27202)/20 + 0/3. Let w = -2751 - -1385. Let q = w - g. What is the common denominator of q and 52/3?
30
Let n be (4/(-3))/(24/(-36)). Suppose 3*w - 20 = n*h, -5 = -w - 3*h + 2*h. Calculate the lowest common multiple of 1 and w.
6
Let v = -39 + 26. Let h = -2 - v. Suppose -2*r - 5*l = -9, -h = -5*r + 2*r - 5*l. What is the lowest common multiple of r and 22?
22
Find the common denominator of 95/18 and (25960/(-384))/11 + 1*3.
144
Let m = -2 - -3/2. Calculate the common denominator of 1 + (38/57)/((-32)/(-189)) and m.
16
Let m(t) = -11*t + 91. What is the smallest common multiple of m(5) and 3?
36
Let h(l) = -l**3 + 6*l**2 + 8*l + 4. Let o be h(7). Let a = 23 - o. Suppose -a = 2*i - 6*i. Calculate the least common multiple of 6 and i.
6
Let b(w) be the third derivative of w**5/60 + 7*w**4/24 - 2*w**3 + 30*w**2. Calculate the lowest common multiple of b(3) and 20.
180
Let x(l) = l**3 - 11*l**2 - 11*l + 8. Let y(q) = -q**3 + 6*q**2 - 2*q - 3. Let c be y(5). What is the lowest common multiple of x(c) and 44?
220
Let h(l) = l + 24. What is the smallest common multiple of h(51) and 35?
525
Suppose 0 = 2*m - 214 + 16. Let s = -17 - -18. What is the lowest common multiple of 9 and m/22 - s/(-2)?
45
Let f(w) = w**2 - 19*w + 82. Let u be f(15). Suppose -3*j = 2*k - 20, 8*j - 3*j = 0. Let l = u - k. What is the least common multiple of 22 and l?
132
Find the common denominator of 59/205 and (18/60)/((-5)/165).
410
Let g(o) = -2*o**3 - 9*o**2 + 6*o + 15. Let n be g(-6). Suppose -5*z + n = -3. What is the smallest common multiple of 10 and z?
90
Suppose -374*k + 275 = -349*k. What is the lowest common multiple of 0 + 1 + 0 - -4 and k?
55
What is the least common multiple of (-2)/(2*6) + (-882)/(-108) and 12/16 - 10/(-8)?
8
Let t = 4285/3 - 42493/30. Find the common denominator of -37/60 and t.
60
Find the common denominator of -59/80 and (8406/(-816) - -9)*2/(-6).
1360
Let k(x) = x**3 + 15*x**2 + 28*x - 30. What is the lowest common multiple of 55 and k(-12)?
330
Suppose 41 = -4*x - y - 0, x + 2 = -3*y. Let c = -41 + x. Find the common denominator of -41/20 and ((-2)/9)/(c/(-2301)).
60
Let c = -103803/15490 - -2/1549. What is the common denominator of (-3910)/(-468) - (-7 - (-1380)/195) and c?
90
Suppose -p = -2*f + 14, 35 = 5*f + p - 5*p. Calculate the common denominator of 10/(-5) - 15/f and -27/14.
14
Let x = -2877 - -2925. Calculate the smallest common multiple of 114 and x.
912
Let n(p) = 2*p - 4. Let d be 1/((-4)/(-1 + -11)). Let t = d - -5. What is the smallest common multiple of t and n(3)?
8
Let k = -361249379788599/29084 + 12420897395. Let i = k + 1/2644. What is the common denominator of -46/3 and i?
33
Suppose -3*b + 15 = 4*y - y, b + 10 = 4*y. What is the common denominator of (((-27)/b)/1)/(90/(-165)) and -21/8?
8
Suppose -52*m - 252 = -58*m. What is the least common multiple of 240 and m?
1680
Let q(y) = 21*y**3 + y**2 - 3*y - 9. Calculate the least common multiple of 2 and q(2).
314
What is the least common multiple of (-35)/(-7) + 10/2 and 30?
30
Let w = -536 + 3331/6. Let a = -10607 - -105959/10. What is the common denominator of w and a?
30
Suppose -8*o = -2*o - 594. Calculate the least common multiple of 121 and o.
1089
Let x(a) = 9*a**2 - 15*a + 19. Let z(y) = 4*y**2 - 8*y + 9. Let b(s) = 3*x(s) - 7*z(s). Suppose 65 = r + 43. What is the least common multiple of b(8) and r?
198
Let i = -4819/14 + 675/2. Let w = -213736/21 + 10175. What is the common denominator of i and w?
21
Let m = 32 + -18. Let j(l) = -l**2 + 10*l + 8. Let b(n) = -4*n**2 + 30*n + 24. Let w(r) = 4*b(r) - 14*j(r). Calculate the least common multiple of w(-9) and m.
14
Let p = -2211 - -2216. What is the least common multiple of 566 and p?
2830
Let s be 22832/(-80010) + 2/7. Let c = -64006/5715 - s. Suppose 114 + 2070 = -78*d. Find the common denominator of d and c.
5
Suppose -2*x = -4*p + 274, -x + 3 = -0*x. Suppose -50 = -26*r + 21*r. What is the smallest common multiple of r and p?
70
Suppose -5*c = 2*g - 0 - 13, -5*g - 8 = -c. Suppose c*n - 68 = -5*q + 47, 5*n = -2*q + 65. Calculate the least common multiple of q and 12.
60
Let j(p) = p**2 + 9*p - 18. What is the lowest common multiple of 22 and j(4)?
374
Suppose -2*j + 14 = 3*a, -25 = -5*a - 5*j - 0. Let g = 34 + -18. Let y = -9 + g. Calculate the smallest common multiple of y and a.
28
Let d(m) = m**2 + 14*m - 45. Let g = 44 + -17. Calculate the smallest common multiple of d(-17) and g.
54
Let a(v) = 2*v - 19. Let f be a(8). Let i(b) = -9*b**3 - 2*b**2 + 6. Let m be i(f). Let t = m + -3705/16. What is the common denominator of t and 63/4?
16
Let h(c) = -c**3 + 12*c**2 - 29*c + 13. Calculate the lowest common multiple of 15 and h(8).
555
What is the least common multiple of (-1)/2 + 29/2 and 171/18 + 1/2?
70
Suppose -4*i - 39 = -7*i - 3*j, i - 11 = -2*j. Let t(a) = a**2 + 20*a - 164. Calculate the lowest common multiple of t(8) and i.
60
Let n = 349 + -64. Calculate the least common multiple of n and 27.
2565
What is the common denominator of ((-2)/(-8))/((-9)/258) and (-4 + -2)*39/(-27)?
6
What is the least common multiple of (3 - (-12)/(-10))*35 and 90?
630
Let y = -551/7 + 52562/665. What is the common denominator of y and 92/15?
285
Suppose -34 = -3*p + 5*k, -2*p + 3*k = -4*p + 10. What is the least common multiple of p and 866?
3464
Let z(d) = -15*d**3 - 4*d**2 + 5*d - 5. Let y be z(5). Find the common denominator of 1/5 - y/350 and -39/16.
112
Let z(n) = n**2 + n - 32. Let l be 93/5 + 6/15. Suppose -3*i = -3*k - 21, -l = 2*i - 3*i - 3*k. What is the least common multiple of z(-7) and i?
10
Suppose 0 = -7*i + 8*i - 8. Let w = i - -10. What is the least common multiple of (1 + 1)*(1 - -7) and w?
144
Suppose 3*f - 8*f = -15. Suppose -13 = -5*m + m + 3*u, -f*m + u = -16. Calculate the lowest common multiple of 6 and m.
42
Let v = -513 + 183103/357. What is the common denominator of v and -31/21?
357
Find the common denominator of -2/43 and -2*(-2*122/72 + 0).
387
Suppose 0 = -g - 5*z, 40*z + 5 = 35*z. Let b be (-110)/4*(-8)/10. Suppose -v + b = v. Calculate the lowest common multiple of v and g.
55
Let f(m) = -2*m + 16. Let w be f(7). Calculate the common denominator of ((-2)/7)/((-6)/(-123)) and 10/w*104/(-20).
7
Suppose -d = 5*v - 13, 5*v + 5*d - 3 - 22 = 0. Suppose -4*k = -v*k - 48. Calculate the least common multiple of 24 and k.
24
Let x = 26 - 6. Suppose -3*f + x = -22. What is the lowest common multiple of 11 and f?
154
Let v = 328 - 804. Let y = v + 3324/7. Let x = -696 - -21581/31. What is the common denominator of x and y?
217
Let u = 12733 + -203819/16. Let a be ((-3)/75)/(2/(-65)). Let r = 7/15 - a. What is the common denominator of r and u?
48
Let v = -2531879560564767173/131433958524 - -2/10952829877. Let p = -19280798 - v. Let w = -17297 - p. Calculate the common denominator of w and 59/12.
12
Suppose -2*x + 35 = -5*u, -2*u - 5 = 4*x - 15. Calculate the smallest common multiple of 2 and x.
10
Let d be -2*(1 + (-18)/4). Suppose -d*v + 106 = 22. Let x(p) = 3*p**2 - 2*p - 2. Calculate the least common multiple of v and x(-2).
84
Let a = -1 - 2. Let d = 52211/16 + -6515/2. What is the common denominator of d and 11/(-14) - a/1?
112
Suppose -4*m + 9 = 1, -3*m = p - 364. Calculate the least common multiple of 2 and p.
358
Suppose -15*h + 265 - 129 + 314 = 0. What is the lowest common multiple of 182/6 + (-4)/12 and h?
30
Let y(i) = -74*i + 11. Let l be y(7). Let o = -2547/5 - l. What is the common denominator of o and (-134)/6