40
Suppose -2*j = -3*k + 59, -5*k + 115 = -7*j + 3*j. What is the common denominator of (-4)/(36/(-3)) + (-178)/(-36) and ((-182)/24)/(j/(-20))?
90
Suppose 0 = 9*w + 1 - 28. Suppose -5*d - w*v = 96 - 18, -3*d = 4*v + 49. Find the common denominator of d/100*52/6 and -95/224.
1120
Let j(m) = m**3 - 31*m**2 + m + 29. Let f(k) = k**2 + 75*k + 1418. Calculate the least common multiple of f(-37) and j(31).
60
Let a = 371 - 377. Find the common denominator of (a/(-8))/(315/1512) and 6/55.
55
Let f(g) = -g + 7. Let d be f(3). Suppose s - 8*r + 65 = -d*r, -s + 5*r = 65. Let l = -35 - s. What is the lowest common multiple of 18 and l?
90
What is the common denominator of 28/182 + 0 - 2818/5304 and 151/204?
204
Let i = -4460/4759 + -1946186/3783405. Let m = -22/53 + i. What is the common denominator of m and 8/4 - (-4)/(-3)?
15
What is the smallest common multiple of 240 and (160/25)/((-28)/(-1470))?
1680
Let h be (6 - -6507*(-18)/19509) + 0. Let d = h - -580975/598276. Calculate the common denominator of d and -81/10.
460
Let g be 6/(-27) - 107390/(-244062). Let l = 39/149 - g. Find the common denominator of l and 19/9.
819
Let k = 129 + -124. Let l(a) = 2*a**2 - 11*a + 6. Let b be l(5). Calculate the smallest common multiple of (1/b)/(2/106) and k.
265
Suppose 30*x - 5951 + 677 = 7956. What is the lowest common multiple of x and 27?
1323
Suppose -u - u = -20. Suppose 9*y + 6 = u*y. What is the lowest common multiple of y and 36?
36
Let i = -45 + 70. Suppose -8*v = 305 - i. What is the least common multiple of 50 and (-80)/v + -4*1/14?
50
Let z(v) = 974*v - 6804. Let t = -124 + 180. What is the least common multiple of t and z(7)?
56
Suppose -64*s + 58*s - 17460 = 0. What is the common denominator of (-7)/(-378)*s/(-20) and -131/186?
1116
Suppose 136 - 88 = 4*v. Calculate the least common multiple of v and 4558.
27348
Let m(i) = -19*i**3 - 3*i**2 - 4*i + 1. Suppose 0 = -p - 5*z - 21, -4*p + 8*p - 16 = 5*z. What is the smallest common multiple of 6 and m(p)?
42
Let h(w) = w**3 - 6*w**2 + 7*w - 5. Suppose 0 = -4*f - k + 176, 0 = 4*k - 4 - 12. Suppose 27 = -4*r + f. What is the least common multiple of h(5) and r?
20
Let p be 8450/((-2)/(-1)) + (-15)/(-5). Find the common denominator of -65/3 and ((-24)/336)/((-48)/p).
24
Suppose -159*r + 161*r + 270 = 0. Find the common denominator of (-296)/810 + 54/r and -103/6.
162
Let g = -1122821/554440 - -2/13861. Find the common denominator of ((-42)/50)/(-1) + 9/(-12) and g.
200
Let x(v) = -6*v**3 + 10*v**2 + 14*v - 12. Calculate the smallest common multiple of 36 and x(-5).
1836
Suppose 0 = -v - 8 + 9. Suppose -190*u - 10 = -195*u. Suppose p = -4*i + 2, u*p + 16*i = 15*i + 4. What is the lowest common multiple of v and p?
2
Let c(f) = f**2 + 17*f + 18. Let r be c(-16). What is the common denominator of 99/284 and ((-63)/72)/(r/((-76)/(-3)))?
852
Suppose 2*a + 22*a - 17374 = -5710. Calculate the smallest common multiple of a and 18.
486
Calculate the lowest common multiple of 2774/146 + -6 + -2 and 2626.
28886
What is the common denominator of ((-16)/(16128/1442))/(-6)*6/8 and -43/96?
576
Let k be (-2)/25*-190 + 2/(-10). What is the least common multiple of (22/6)/(1/k) and 50?
550
Let u(v) = -3*v**3 - 104*v**2 + 36*v + 44. Let k be u(-35). What is the common denominator of (1/k)/(640/(-2064)) and -47/22?
1320
Let b be (-2)/((-6)/9) - (-3)/(-1). Suppose 5*v + 20 = -4*c - 7, b = -5*c + 5*v. What is the common denominator of 103/18 and 175/(-65) + c/(-6)?
234
Let i be (99/(-6))/3*(-12)/2. Let o = 44 - i. Suppose -2*m - 1 = -o. Calculate the smallest common multiple of m and 46.
230
Find the common denominator of (4 - -4*35/252)*(-2)/(-42) and 23/873.
18333
Let k be (-8886)/495*3454/(-88). Let u = k - 7814/11. What is the common denominator of u and -83/6?
30
What is the common denominator of (5289/(-32250))/((4/(-30))/1) and 67/100?
100
Calculate the least common multiple of (-4)/(-5)*-5*46/(-8) and 39.
897
Let o = -2 + 22. Let v be (-3)/6 + -7 + (-84)/(-8). Suppose 4*n = v*x - 32, 2*n - 26 = -3*x + 30. Calculate the lowest common multiple of o and x.
80
Let z = -55 - -50. Let f be ((-26)/(-4))/(1993/4 - z). Let l = f - 827/915. Calculate the common denominator of l and -74/3.
165
Let q(s) = s**2 + 3*s - 97. Let t = -57 + 66. Calculate the lowest common multiple of q(t) and 1/3 - (-4)/6.
11
Let g(l) = 9*l + 8*l + 28 - 9*l. What is the least common multiple of 3 and g(4)?
60
Suppose -5*k = -128*d + 131*d - 1125, 373 = d + 2*k. What is the smallest common multiple of d and 315?
3465
Suppose 0 = -2*a + 4 - 10. Let z be 6384/(-16) - (a*1 - 0). Calculate the common denominator of 3674/z*((-12)/(-10))/2 and -27/8.
120
Suppose -112 + 182 = 7*b. Let q(v) = 4*v**2 - 32*v + 4. What is the least common multiple of 24 and q(b)?
168
Suppose 36*g - 4114 = 19*g. What is the lowest common multiple of 154 and g?
1694
Let m = 2545/1224 + 27/136. Find the common denominator of m and (39875/1815 + -22)*(3 + 147/9).
198
Let m = -4/871 - 65309/3484. Find the common denominator of m and (-2513)/(-210) - (4/(-10))/2.
12
Suppose 0 = 2*v - v - 10. Let k = 112 + -116. What is the common denominator of -53/12 and 42/(-12)*k/v?
60
Let i = -817/72 + 20/9. What is the common denominator of ((-4)/16)/((-1)/(-142)) and i?
8
Let t(l) = -l**2 + 18*l - 27. Let a be (-3)/(-72)*-3 - 267/(-24). Let c be t(a). Suppose -6*d = -d - c. Calculate the least common multiple of 7 and d.
70
Suppose -321 = -7*i + 169. Find the common denominator of 8 and -1 - (-4)/42*i/28.
21
Let m = -309 - -291. What is the common denominator of 2/5*105/m and 49/6?
6
Let k = -1560/11 - -18379/132. What is the common denominator of k and 222/416 + (0 - 1)?
624
Let p = 250 + -160. Calculate the lowest common multiple of p and ((-6)/51)/1 + (-3080)/(-170).
90
Let p = -5961/5 - -1198. Let f be (3 - (-15)/(-4))*41901/9. Let w = -3468 - f. Find the common denominator of w and p.
20
Suppose c = 6*c - 50. Let p(v) = -v**2 - 15*v + 4. Let z be p(-15). What is the smallest common multiple of (-12 - z)*(-9)/4 and c?
180
Suppose -256 = -r - 5*j, -5*r + 1154 = -84*j + 88*j. Calculate the least common multiple of r and 18.
2034
Calculate the common denominator of ((-7176)/880 - -9)/(24/(-5)) and 49/24.
528
Suppose 5*q + 2*s + 10 - 39 = 0, -3*s = -5*q + 19. Suppose -4494 = -305*x + 299*x. Calculate the least common multiple of x and q.
3745
Let x(r) = 4*r**3 + 4*r**2 - 3*r - 7. Let q be x(4). Suppose 12*a + q = -179. Let i = 56 + a. Calculate the smallest common multiple of 18 and i.
144
Let z = -14/2683 + -13219/37562. Find the common denominator of -53/903 and z.
1806
Let p be ((-28)/21)/((-2)/(-9)). Let m = -4663/5 - -74323/80. Find the common denominator of 8/p*(-6)/20 and m.
80
Suppose -12*u + 7*u - 3*p = -5691, -3*u + 3426 = -2*p. What is the least common multiple of u and 111?
42180
Let u = -54771/128920 + -1/6446. Find the common denominator of -91/80 and u.
80
Let r = 22019/259 + -5075195/39368. Let v = r - -1074/19. Find the common denominator of v and 31/((-6)/((-4)/32*-3)).
16
What is the common denominator of 5/2 and ((-46)/(-108) - -2)/((-202)/303)?
36
Suppose 6*n = -672 + 762. What is the lowest common multiple of (2 - 1) + (-20)/(-4) and n?
30
Let r = 83 - -35. What is the common denominator of 115/56 and (-3 - -3) + r/6?
168
Let t = -220 + 252. What is the smallest common multiple of 2 and (22/44)/(2/t)?
8
Let h = -2707 - -2922. Calculate the least common multiple of 15 and h.
645
Suppose -5*p + 62 = j, 9*p - 15 = 6*p. Calculate the least common multiple of j and 63.
2331
Let r(c) = 373*c**2 - 98*c + 99. Calculate the lowest common multiple of 442 and r(1).
4862
Let y be (-24 - -24) + 1490/2. Let s = y - 3743/5. Find the common denominator of 55/7 and s.
35
Let a be (6/(-6))/(458/(-22)). Let m = -144771579715/2061 + 70243360. Let o = m + a. Find the common denominator of o and 45.
9
Find the common denominator of -22/271 and 97/(-9) + 5 - -12.
2439
Let c be (155/(-310))/(2/(-999)). Let z(y) = -251*y**2 + y. Let i be z(-1). Let q = c + i. Calculate the common denominator of q and -111/14.
28
Suppose 0 = -3*p - 5*c + 37, 4 + 10 = 7*c. Suppose -3 = 9*u - 10*u. What is the lowest common multiple of u and p?
9
Let j be 3/12 + 3*515/60. Suppose 0 = -10*w + 124 + j. What is the 