. Find the common denominator of n and (-16230)/1260 + (1 - (-18)/(-14)).
48
What is the common denominator of -117/28 and 3546/1890 - (4/(-6) - -2)?
140
Suppose -3*r - 2*r = -4*s - 12, -2*s + 2*r - 4 = 0. Calculate the common denominator of -2 + (-47)/s - 2 and 1/18.
18
Let n(p) = -p**2 + 9*p + 23. Suppose 3*x + 39 = 3*f, -4*f + 28 = -2*f - 3*x. What is the least common multiple of n(f) and 10?
10
Let m = -427/192 + -7/64. Find the common denominator of m and -25/8.
24
Let n = -144893/12 + 12065. Find the common denominator of -13/62 and n.
372
Let o be (3 - (-44)/(-12))/((-1)/9). What is the common denominator of 27/11 and 82/7*o/(-12)?
77
Let y = 145 + -1461/10. Calculate the common denominator of -43/50 and y.
50
Suppose 9 = -3*o, 5*d - 10 - 6 = -3*o. Suppose d*q = 20, 4*i - 3*q - 5 = -49. Calculate the common denominator of (i/(-2))/((-18)/21) and 79/6.
6
Let g be 13 - (2 - (-2 + 3)). Let y be 46/4 + 6/g. Calculate the lowest common multiple of y - 1*(6 - 3) and 11.
99
Let m(x) = -400*x. Let n be m(-1). What is the common denominator of (-1 - 16/(-6))*2808/n and 48/119?
1190
Let f = -6831 + 300491/44. Let z = -4 - -45/8. Find the common denominator of f and z.
88
Let g(s) = s**2 + 5*s + 6. Let f be ((-4 + 18)/(-1))/2. What is the least common multiple of g(f) and 22?
220
Calculate the least common multiple of 2 - (8 + -2)*(-51)/9 and 24.
72
Suppose 15*q = 689 - 419. What is the least common multiple of 346 and q?
3114
Let j be (1/1)/((-11)/22). Let u be (16/6)/(j/(-3)). Suppose -2*b + 0*c = -u*c, 5*b = -2*c + 36. What is the smallest common multiple of 3 and b?
6
Let w = -10 + 14. Let s(b) = b**3 - 9*b**2 + 9*b - 3. Suppose 7*v - 30 - 26 = 0. Calculate the least common multiple of w and s(v).
20
Suppose 0 = 102*k + 70 - 682. What is the lowest common multiple of k and 792?
792
Let a(d) = d + 25. Calculate the common denominator of -29/5 and a(2).
5
Let p = -3610/567 - 5/81. Let a(l) = 2*l**2 - l - 15. Let w be a(-7). Find the common denominator of p and (-4)/6 + 429/w.
70
Let w = -35200831/120510 + -14/12051. Let o = w - -283. Find the common denominator of 511/72 + (-4)/18 and o.
40
Let k(m) = m - 1. Let x be k(6). Suppose x*w - 5 = 5*t, -4*w - 14 = t + t. Calculate the least common multiple of ((w + 3)*-11)/(-1) and 10.
110
Let o be 4 - -4*1/(-2). Suppose -r - 4 = 2*s, 3*s = -r + 6*s - 4. What is the common denominator of -18/11 and (-9)/r + -2 + o?
44
Let g = 47041 - 10584203/225. What is the common denominator of 101/50 and g?
450
Let d = 16 - 14. Suppose -d*s = 2*s - 28. Let p(y) = 3*y - 23. Calculate the least common multiple of s and p(10).
7
Let a = -68149/77 - -885. Calculate the common denominator of 73/35 and a.
385
Suppose 5*b + n = 41, 4*b - 5*b = 5*n + 11. Let l(w) = 7*w**2 - 33*w - 10. What is the least common multiple of 4 and l(b)?
260
Let i = 129577/18 - 7193. Calculate the common denominator of 9/294*(-36)/(-4) and i.
882
What is the common denominator of -103/250 and 40/(-180) + ((-744)/(-297))/(-1)?
2750
Let n = -15 - -15. Suppose 0 = 5*u - f - 28, n = -u + 2*u + 3*f + 4. Let z(t) = -t**2 + 7*t. What is the least common multiple of 1 and z(u)?
10
Suppose 3252 - 2577 = 25*z. What is the smallest common multiple of (-1312)/(-44) - 2/(-11) and z?
270
Suppose 3*c = 28 + 47. Let u = 52 - 36. Let g = c - u. Calculate the least common multiple of g and 2.
18
Let v = 30 + -27. Suppose -2*b = -8, 0 = 3*w - w - v*b + 4. Calculate the smallest common multiple of ((-20)/8)/(1/(-2)) and w.
20
Let u = 26/15 - -29/90. Suppose 5*m - 1888 - 272 = 0. What is the common denominator of u and 3/(-2)*(-738)/m?
144
Let j(k) = -184*k + 188. Calculate the least common multiple of j(1) and 68.
68
Suppose 0 = 8*k + 3*k + 44. What is the common denominator of -65/14 and (-1590)/(-88) - (84/22 + k)?
28
Suppose 239*c - 48 = 235*c. What is the least common multiple of 236 and c?
708
Let x = -10/1883 + -3899663/5649. Let w = -679 - x. Find the common denominator of w and -49/18.
18
Let v = -517 - -567. What is the lowest common multiple of v and 10?
50
Let q be (-1010)/4*48/30. Find the common denominator of q/96 + ((-9)/(-24))/3 and (89/(-12))/((-4)/6).
24
Suppose -2*z + 3*z + 33 = 3*l, z = -4*l + 37. What is the common denominator of -29/12 and (-11)/(-35)*5/l?
420
Let z be 300/44 + 6/33. Let u(c) = -c + 10. Find the common denominator of u(z) and 33*((-32)/(-30))/4.
5
Find the common denominator of -81/10 and (-250)/8*123/205.
20
Let g(n) = -2*n + 32. Calculate the least common multiple of g(12) and 19 - 2/(0 + 2).
72
Let s = -3 - -7. Suppose -3*t = i + 7, i + 4*t + s = -3*i. Calculate the smallest common multiple of 3/2 - 296/(-16) and i.
20
Let u = 1950 - 1869. What is the least common multiple of u and 27?
81
Let j(v) = -v**3 + 9*v**2 + 6*v - 56. Calculate the smallest common multiple of 16 and j(8).
112
Let x = -78 + 81. Let o be 2/(-3) + 1/(-3). Calculate the common denominator of ((-100)/x + o)/(-6) and 139/12.
36
Let c = 2902 - 2886. What is the lowest common multiple of c and ((-3)/(-2))/(9/48)?
16
Let u be -11602*2/(4/2). Let s = -255147/22 - u. Let o = 1/5078 - 90140/27929. Find the common denominator of o and s.
22
What is the common denominator of 73/27 and (-47)/1128*290/8?
864
Let c = 216/27919 + 723407049/279190. Let v = c - 2589. Find the common denominator of v and 31/6.
30
Calculate the least common multiple of (0 - 11/5)/(17/(-85)) and 7.
77
Calculate the common denominator of 143/24 and (-12)/30 + 134/240.
120
Calculate the common denominator of -63/88 and (3/(-33))/((-35)/(-406)).
440
Let a be (-659 - (-4)/(-2))*(-2)/(-18). Let r = a - -460/9. Find the common denominator of r and 30/9*(-50)/16.
12
What is the common denominator of 11/10 and (-213)/355 - (-1329)/2290?
2290
Let c = -28 + 62. Suppose k - c - 16 = 0. Suppose 8*b = 3*b + k. Calculate the lowest common multiple of b and 6.
30
Let z(s) = -s + 3. Let d be z(9). Let c = 6041/279 - 468/31. Calculate the common denominator of c and ((-84)/75)/(d/45).
45
Let z(h) = 7*h - 24. Let f(b) = 8*b - 24. Let k(w) = 6*f(w) - 7*z(w). What is the lowest common multiple of 4 and k(22)?
4
Suppose 14 = b + 3. Suppose -2*c = -c, -5*k + 2*c = -30. Suppose k*u = 4*u + 8. What is the lowest common multiple of b and u?
44
Let h = 51 + -56. What is the common denominator of (h/(1620/(-8)))/(2/114) and 137/30?
270
Let u(a) = 26*a**2 - a. Suppose 5*z + 20 = -5*c, -z - 6 = -3*c + 2*z. Let w be u(c). Suppose -2*t = t - w. What is the least common multiple of t and 6?
18
Let j = -330 + 360. Calculate the smallest common multiple of j and 246.
1230
Let p(s) = s**3 - 8*s**2 - s + 10. Let j be p(8). Let n = 37 - 35. Let y = j + n. What is the least common multiple of 5 and y?
20
Let g = 168570 - 23599911/140. What is the common denominator of g and 89/180?
1260
Let d = 12 - 6. Suppose 8*p + 744 = 14*p. Suppose 7*q - 2 = p. What is the least common multiple of d and q?
18
Let m be (2/((-8)/(-38)))/(5/10). Suppose -5*y + m = -3*u, -2*u = 5*y - 4*y - 9. What is the least common multiple of u and 77?
154
Suppose n = -1 + 2. Suppose 9*p - 186 = -564. Let x = p - -48. What is the lowest common multiple of n and x?
6
Let w(s) = s**3 - 6*s**2 - 6*s - 5. Let m be w(7). Find the common denominator of (545/(-100))/(-1)*m and ((-2)/8)/(22/(-148)).
110
Let s = -3858209/49700 + -37/37275. Let m = s + 572/7. Calculate the common denominator of m and -43/22.
132
Let x(k) = 10*k**2 + 2*k. Let q(h) = -h - 15. Let j(m) = -2*m - 30. Let p(f) = 2*j(f) - 5*q(f). Calculate the lowest common multiple of p(-5) and x(-1).
40
Calculate the common denominator of 31/72 and (-154)/(-2112) - 3/4.
288
Let j = -5 - -1. Calculate the least common multiple of (-66)/(-8) + j/16 and 16.
16
Suppose -j = 4*j - 5. Suppose 0 = -3*n + 18 + 18. What is the lowest common multiple of (2 - j)/((-8)/(-16)) and n?
12
Let v = -1 + 2. Let z be ((-8)/10)/(18/90). Calculate the smallest common multiple of (2/(-8) - (-1)/z)*-2 and v.
1
Let l = -194101/27 + 7188. Let m = 196/65 - -3043/780. What is the common denominator of m and l?
108
Let x = 3596 + -64661/18. Calculate the common denominator of x and -63/20.
180
Let v(q) be the second derivative of -q**5/20 - 5*q**4/12 - q**3 + 2*q**2 + 15*q. What is the least common multiple of 32 and v(-3)?
3