is the lowest common multiple of 1980 and k?
5940
What is the common denominator of -43/1640 and ((-2225)/(-100))/(-2 + -8)?
1640
Calculate the common denominator of 4838/480 + -4 + -6 and 61/90.
720
Let q = -1429 - -5769/4. Let w be ((-105)/14)/((-3)/4). Calculate the common denominator of q and w/18*(-646)/85.
36
Find the common denominator of 19/6003 and 13/(637/(-42)) - (750/693 - 0).
66033
Let z = -60221/736 - -1309/16. Find the common denominator of -31/12 and z.
2208
Let y(u) = -5 + 5 - u + 3. Let i(j) = -2*j + 2. Let d(m) = 3*i(m) - 4*y(m). Calculate the lowest common multiple of 3 and d(-4).
6
Suppose -3*h = 2*h - 33350. Let x = h - 153368/23. Calculate the common denominator of x and (-12)/(-54) + (-277)/(-9).
23
Let t = 54 - 39. Suppose 11*z - 2*q + 18 = t*z, q = -3. Suppose -4*g - 125 = h - 6*h, -2*g = 10. Calculate the smallest common multiple of z and h.
42
Let o = 1661651/1622259 + -212/207. Let y = 274262/258621 + o. Find the common denominator of y and 0 - (0 - 10/(-18)).
99
Let z be (-4 + 6)/(0 + 2). What is the common denominator of (93/(-40) - (z - 4)) + 2 and -49/40?
40
Let n be 13/16 + (-11)/((-88)/16). Let b = 401/48 + n. Calculate the common denominator of b and 460/(-12)*(-1)/8.
24
Let f(t) = 4*t - 70. Let n be f(18). Suppose h + 4*y + 10 = 0, h - 7*y = -n*y - 19. What is the lowest common multiple of (-135)/9*h/10 and 18?
126
Suppose 8*d = -2*h + 5*d + 125, 0 = -3*h + d + 193. Suppose 4*f = -16, -4*b + 0 = -5*f - h. Calculate the least common multiple of 6 and b.
66
Suppose 109 = -13*o + 12*o. Let n = o + 120. What is the smallest common multiple of 157 and n?
1727
Suppose 0 = -3*h + 12. Let k = 1195 - 1025. Suppose -12*y - 5*y + k = 0. Calculate the smallest common multiple of y and h.
20
Let x(k) = -4*k + 37. Let f be -2 + 5 - ((-10)/5 - -2). What is the lowest common multiple of x(f) and 15?
75
What is the common denominator of 7/902 and (-14)/(18480/(-10686)) + -8?
9020
Let j = 1102 - 739. Calculate the least common multiple of j and 847.
2541
Let i be 14990/7 + (80/28)/5. Calculate the common denominator of -121/12 and ((-68)/i)/(4/177).
84
Let o = -2/60825 - 5291663/3406200. Calculate the common denominator of 18/(-160)*148/(-3) and o.
280
Let a = 4136262 - 49606609/12. Let t = a - 2373. Find the common denominator of t and 280/(-900)*(3 + -8).
36
Let x = 234 + -240. Let l(d) = 24*d + 154. What is the lowest common multiple of ((-28)/10)/((-1)/20) and l(x)?
280
Suppose 0 = -4*o - 25 - 23. What is the common denominator of 3/o + 159/(-52) and ((-126)/30 + 2 - -1 - -4) + 3?
65
Let v = 6630/197 + -4090717/120958. Calculate the common denominator of v and -79/6.
1842
Let d be ((-16)/(-6))/((-8)/12). Let t be (-9)/(-165)*(d - -159). Let a = -207/22 + t. Find the common denominator of a and 29/18.
198
Let r(h) = h**2 + 4*h - 137. Let z be r(-17). Suppose -2*q = 4*x - z, -q + 62 = 3*x - 0*x. What is the smallest common multiple of x and 44?
220
Let a = -11 + 17. Suppose -l + a*l - 115 = -5*x, 25 = l - x. Calculate the smallest common multiple of l and 39.
312
Suppose 2*b = -2*d + 32, -2*b + 0 = d - 16. Suppose -2*n + 16 = g - 1, -3*n = -5*g - 32. Calculate the least common multiple of d and n.
144
Suppose -3*n = -3*i + 194 - 188, -3*n + 26 = 5*i. Suppose 0 = q + 16*c - 18*c - 7, 3*q - n*c - 25 = 0. What is the lowest common multiple of q and 1?
9
Let o = -57209/24 - -7169/3. Find the common denominator of (-205)/(-36) + 8/(256/280) + -9 and o.
72
Suppose c + 6 = -4*o + 2*o, -17 = 5*o + 2*c. Let f(i) = 2*i + 19. Calculate the least common multiple of 11 and f(o).
99
Suppose 0 = 35*c + 25*c + 480. Find the common denominator of 61/c - (78 + -76) and -101/184.
184
Let k = -37802192/731 - -51713. Calculate the common denominator of -31/344 and k.
5848
Let b = 423 - 427. Let m be (2/5)/((-1)/(-5)). What is the common denominator of 25/26 and b + (-7926)/(-1056) - m/(-11)?
208
Let w(y) = -20*y - 8. Let x be w(-1). Let z(p) = -p**3 + 12*p**2 + p - 4. Let j be z(x). Calculate the common denominator of (-123)/j*(-2)/(-3) and 103/6.
12
Find the common denominator of 16/(1440/623) + -7 and 27/50.
450
Let i(r) be the first derivative of r**3/3 - 5*r**2 + 3*r - 42. What is the lowest common multiple of 12 and i(13)?
84
Let u = -820/183 - 784/61. Let z = 396209/24 - 16504. Find the common denominator of z and u.
24
Let i be 19 - 12 - (16423 - 2). Let g = -525161/32 - i. Calculate the common denominator of g and 127/24.
96
Suppose 4*d + 3*q - 196 = 0, 0 = 2*q - 0*q. What is the lowest common multiple of ((-35)/d - -1) + (-278)/(-7) and 30?
120
Let i = -44 - -281. Let y = -240 + i. Find the common denominator of 53/36 and y.
36
Let u(y) = 86*y + 5681. Calculate the least common multiple of u(-41) and 15.
6465
Let l = 5608 - 3702. Let g be 2/(-4)*197873/(-52). Let v = g - l. What is the common denominator of 35/8 and v?
8
Let q be (-1)/(2/(-10) - (-8)/(-160)). Suppose -m - q*d - 28 = -2*m, 2*m - 23 = -3*d. What is the least common multiple of 1388 and m?
5552
Let r = -3151/2 - -1607. Let t(l) = 6*l**3 - 4*l**2 - 2*l + 4. Let f be t(2). What is the common denominator of r and 16/(-56)*38/f?
56
Let g = -11094527/2 - -5547251. Suppose -4*c + 2*c = 6. Find the common denominator of (-239)/(-30) - 1/c and g.
10
Let h(l) = 5*l**3 - l**2 + 4*l + 1. Let v(n) = 4*n**3 - n**2 + 2*n. Let a(z) = 3*h(z) - 4*v(z). What is the smallest common multiple of 9 and a(-2)?
63
Let i be (-15075)/26320 - 27/(-18). Let g = 1/752 + i. What is the common denominator of g and -5/16?
112
Let m be ((-49328240)/(-348))/2 + 0. Let f = m - 70873. Find the common denominator of 1/3 and f.
87
Let l be 2 - (113304/21980 - 4 - -1). Let b = l - 34/157. Calculate the common denominator of b and 71/15.
105
Let n(v) = 35*v - 374. What is the least common multiple of 90 and n(28)?
9090
Let r be (7 - 6 - 2)*-5. What is the common denominator of (-2)/r*(-430)/40 and 201/(-36) - 1/(-2)?
60
Let p be 62/(-6) + (-2)/(-6). Let y = -2246 - -15679/7. Calculate the common denominator of y and (-12)/p*(-26)/(-8).
70
Let n be ((-40)/12 + 0)*(-72)/10. Let d be 6*2/4 - n/6. Calculate the common denominator of 4 - 148/(-84)*d and -73/15.
105
Calculate the least common multiple of (3/4)/((147/10780)/(1/5)) and 1054.
11594
Let d = 2299/2478 - -26/885. What is the common denominator of d and -69/280?
280
Let o(a) = a**2 + 2*a - 4. Let d be o(-3). Let n be (-13)/(65/15200) - (d + 1). Let c = n + 36455/12. Calculate the common denominator of -82/21 and c.
84
Calculate the common denominator of ((-578)/96 - -6)*(-404)/8 and -76/69.
2208
Let h = -43049 + 12884. Let c = -1447829/48 - h. Calculate the common denominator of c and 63/8.
48
Find the common denominator of (2 + 637/24)*(-127)/3175 and -151/60.
120
Let b = 23749 + -23725. Suppose 5 = 5*o - 5. Suppose 5*i = -5*p + 170, -3*p + 87 = o*i - 14. Calculate the lowest common multiple of b and p.
264
Calculate the common denominator of 61/6 and -3*2*(-83)/(-74451).
1794
Let g be -1 - (2*1 + 383313/(-56)). Let h be (-1352 + -14)*(-5)/(-1). Let v = g + h. Find the common denominator of 101/2 and v.
8
Let q(c) be the third derivative of c**5/60 + 5*c**3/6 - 4*c**2. Suppose 4*s - 7*s + 9 = 0. Calculate the smallest common multiple of q(-4) and s.
21
Suppose 5*j - 2*w = -698, 4*j = 5*w - 677 + 105. Let i = j - -196. Let a = i - 37. Calculate the smallest common multiple of 6 and a.
42
Suppose 0 = -9*y - 10901 + 10919. Calculate the least common multiple of 1459 and y.
2918
Suppose 3*f - 107*d = -103*d + 17724, 11842 = 2*f - 7*d. What is the lowest common multiple of 100 and f?
5900
Let h(i) = -i**3 - 20*i**2 - 28*i - 42. Let r be h(-19). Suppose -130*z + 133*z = r. Suppose -5*b = z - 108. What is the least common multiple of 2 and b?
26
Let t = -18817/127275 + 2/1697. Calculate the common denominator of t and -53/15.
75
Let w be 2/1 + -5*(-12)/20. Suppose -5*s - 10 = -w*z, 3 = -z - 5*s - 7. Suppose z = -2*j - 4*x - 10, x - 1 + 0 = 3*j. Find the common denominator of 43 and j.
1
Let t = 424 + -769. Let g = -323 - t. What is the least common multiple of g and 6?
66
Let r(n) = n**3 - 33*n**2 - 319*n - 360. Calculate the least common multiple of 540 and r(41).
540
Suppose n = 2*q + 634, 9*q - 4*q - 1304 = -2*n. Let l = n - 604. What is the lowest commo