 and b/(-20) + 38/5.
80
Find the common denominator of 127/6 and 2/(-19) + ((-1908)/(-96))/(342/(-328)).
6
Suppose 0 = 5*o - 170 - 30. Let b = 3157 - 1840. Let k = 1337 - b. Calculate the smallest common multiple of o and k.
40
Let n = 435 - 456. Let l(f) be the third derivative of -f**5/60 - 11*f**4/12 - 11*f**3/6 - f**2. Calculate the smallest common multiple of 12 and l(n).
60
Suppose -4*x + 4 = -4*s, x + 6 = -3*s + 5*x. Let g be (0 - 3) + (-1 - -5)/s. Calculate the least common multiple of ((-4)/(-6) + g)/(1/(-12)) and 33.
132
Suppose g + 1098 + 894 = 0. Let o = g + 23839/12. What is the common denominator of -41/48 and o?
48
Find the common denominator of (-3*124/6)/175 and 47/665.
3325
Let o = -28741/6 - -4767. Find the common denominator of o and -91/2356.
7068
Let s(h) = h + 6. Let n be (6 + -4)/(6/(-9)). Let d be s(n). Suppose -2*z = 3*z + 5*q - 15, -5*z + 13 = d*q. Calculate the smallest common multiple of 2 and z.
2
Let o be (-247555)/(-20) + 3/12. Let i = 2413783/195 - o. Find the common denominator of i and 71/26.
390
Let l be -2 - 1/(8/15004). Let w = 15079/8 + l. Calculate the common denominator of (2145/308 - 2) + (-2)/(-8) and w.
56
Let s(q) = -48*q - 30. Suppose 0 = -29*j + 25*j - 24. What is the least common multiple of 8 and s(j)?
1032
Let a be 2578245/(-272484)*2/(-5). Let q = -374/261 + a. What is the common denominator of q and -34/15?
270
Let g(y) = y**3 - y**2 - y + 321. Let h be g(0). Let q be h/(-2) - (-9)/(-6). Calculate the common denominator of (q/(-72))/((-11)/16) and 43/6.
66
Let u(p) = p**3 - p**2 - 3*p + 20. Let a be u(0). Calculate the smallest common multiple of 360 and 1/(a/48 + (-4)/24).
360
Let w = 45/11 + -2111/594. What is the common denominator of 103*((-28)/84)/((-20)/(-3)) and w?
540
Let p = 29391 + -64021. Let w = 969541/28 + p. What is the common denominator of w and 61/188?
1316
Let z = 0 - -1. Find the common denominator of 41/(-10) + z - 2 and 16 + ((-2562)/(-189) - 33).
90
Suppose 38*l + 50*l = -54*l + 7668. Calculate the smallest common multiple of 204 and l.
1836
Let n be 6/2 - -3 - -4. Let d = -270 + 276. Let h = n + d. What is the smallest common multiple of 44 and h?
176
Suppose -14 = -x - 21. Calculate the common denominator of (-1)/2*(-370)/(-15) and (0 - -213)*x/(-126).
6
Suppose 0 = 7*f - 2*f + 3*s - 335, 0 = 3*f - 4*s - 230. Find the common denominator of -56/25 and (-3)/(-45)*(19089/f)/9.
50
Let j be (-277)/1204 + 1/7. Let p = -4535/17028 + j. What is the common denominator of 9/11 and p?
99
Suppose 7*a - 4*a = -102. Let y = 13 + a. Let f = 32 + y. Calculate the lowest common multiple of f and 10.
110
What is the lowest common multiple of 2 + 7 - (0 - 11) and -12 - -6 - -329*2?
3260
Let j = -116793/16 + 7303. Find the common denominator of 29/974 and j.
7792
Suppose 22 - 70 = -4*n. Let i be (-14)/(-6)*612/n. Suppose -i*m = -120*m + 8. What is the lowest common multiple of m and 24?
24
Calculate the common denominator of 83/2134 and (1/9)/(10 - (9/(-198) - -10)).
19206
Let b(p) = 2*p**2 - 45*p + 23. Let x be b(22). Calculate the common denominator of x + 21/(-9) - 366/(-297) and -133/30.
990
Suppose 0 = 22*u - 8*u - 56. Calculate the common denominator of -29/42 and -8 - ((-850)/55 + u).
462
Let n = -4 + 14. Let f be 854979/702880 + 2/n. Let d = 10/191 + f. Find the common denominator of -31/4 and d.
32
Let o = -2324 - -2366. What is the least common multiple of 8 and o?
168
Let z = 100444/3 - 32790. Let s = 710 - z. Let g = -300149/30 - -10010. What is the common denominator of s and g?
30
Let q = 29 + -21. Let v(z) = z**2 + 27*z - 202. Let o be v(-34). Suppose -38*d + o*d + q = 0. Calculate the smallest common multiple of d and 4.
4
Let b(r) = 4*r + 38. Let s be b(-10). Let g(d) = 2*d**2 + d + 1. Let y(f) = f**2 + 1. Calculate the lowest common multiple of y(-3) and g(s).
70
What is the common denominator of 93/8 and 18/(-16)*(-150)/7650?
136
Let s(f) = -2*f**2 + 31*f - 6. Suppose -14*k = -20*k + 35112. Calculate the smallest common multiple of s(15) and (6/7)/(88/k).
171
Calculate the common denominator of 161/540 and (7 + (-186)/18)*510/160.
1080
Let r = 12806 - 12272. Calculate the least common multiple of r and 4.
1068
Suppose -3*k + 4*m = -64, m = -4*k + 75 - 15. Suppose -46*t - 18 = -64*t + 54. Calculate the lowest common multiple of t and k.
16
Let a = -19187/8 + 2407. Let o be (1/8)/((-12)/(-77208)). Let m = o + -813. Calculate the common denominator of m and a.
8
Suppose 46*y = -74*y + 2520. What is the smallest common multiple of y and 1821?
12747
Let v = -199 + 426. Suppose v = 8*w + 59. What is the lowest common multiple of w and 30?
210
Suppose 4*r + 5*q + 23 = 51, -10 = 5*r - 5*q. Suppose -596 = 207*j - 209*j. Calculate the least common multiple of r and j.
298
Suppose 8*h + 5902 = 4*z + 5*h, -2*h - 2950 = -2*z. What is the lowest common multiple of 1688 and z?
11816
What is the common denominator of ((-670)/800*2)/((-1008)/(-40)) and 5/216?
3024
Let j be (122/(-4) - (13 + -17))*6. Let q = j - -195. Calculate the least common multiple of 3 and q.
36
Calculate the common denominator of 540/(-108)*(-114)/(-35)*4/(-16) and 2/18*86/12.
378
Suppose -4*u + 1156 = q, -7*u = 3*q + 85 - 3588. Calculate the least common multiple of 444 and q.
3552
Let a = 18 - 14. Let i be 14/14 - (1 + 0). Suppose -a*g - 4*q = i, 4*q + 1 + 5 = 2*g. What is the smallest common multiple of g and 4?
4
Suppose -4*p = 2*l - 32, 3*l - 5260 + 5344 = 5*p. What is the lowest common multiple of (5/(-10))/((-1)/30) and p?
60
Let k(x) = -2*x**2 - 3*x + 3. Let t be k(-3). Calculate the common denominator of -37/70 and 7 + t - (-32)/(-21) - 3.
210
Calculate the common denominator of -3 - (-1 + (-159)/(-15)) and 655/117 - (-24)/(-156).
45
Let v be (1509/54)/(22/4587). Let q(h) = h**2 - 5835. Let n be q(0). Let c = n + v. Find the common denominator of -87/4 and c.
12
Let f(y) = -y + 10. Let v = 11 - 27. Let b(p) = -p**2 - 14*p + 37. Let a be b(v). What is the smallest common multiple of f(a) and 3?
15
Let c(p) = 2*p - p + 0*p + 90 - 102 + p**2. Let w = 4 + -1. Calculate the smallest common multiple of w and c(4).
24
Let z be ((-51)/340)/((-9)/(-186618)*1). Let k = z + 3100. Find the common denominator of k and 41.
10
Suppose 517 - 512 = x, -8*f + x + 547 = 0. Calculate the least common multiple of f and 177.
4071
Let v(o) = -o**2 - 7*o + 8. Let c(h) = 9 - 1 + 384*h**2 + 389*h**2 - 772*h**2 - 5*h. Calculate the lowest common multiple of c(3) and v(-7).
8
Suppose -22*h = 142*h + 44*h - 343200. Calculate the smallest common multiple of h and 825.
1650
Suppose -2*o = -5*v + 7, -4*o - 3*v + 5*v = 54. Let j(n) = n**3 + 5*n**2 - 5*n - 26. Let b be j(-10). What is the least common multiple of 24 and b/(-32) - 2/o?
120
Let s be ((315/10)/3)/((-36)/4272). Calculate the common denominator of 1222/(-235)*(-10)/s and -25/11.
6853
Calculate the smallest common multiple of 2010 and 41/5 - 24/120.
8040
Let i be (98/175)/((-2)/(-10))*-45. Find the common denominator of 56/14 + -1 + 879/i and -37/13.
546
What is the smallest common multiple of 90 and 4*(-12)/16*410/(-2)?
3690
Suppose 464 + 460 = -11*u. Let n = u + 85. What is the smallest common multiple of (7 + -1)/(n/(-8)*-3) and 44?
176
Let g be (-518)/(-63) + (-2)/9. Let p(l) = l - 3. Let m be p(g). Suppose -6*c = -m*c - 54. What is the lowest common multiple of c and 20?
540
Let y(c) = -c + 4. Let x = -27 - -19. Calculate the lowest common multiple of 4/(-22) - (-6 + (-672)/66) and y(x).
48
Let l be (-1)/((5/1 - (-30527)/(-6125))/(-6)). Suppose -5*w = -5*c - 130, -4*w = -4*c + w - 102. What is the smallest common multiple of (-8)/c + l/35 and 4?
44
Suppose -56*z = -23*z - 13050 - 414. What is the least common multiple of 1326 and z?
5304
Let w be 7*(-2)/(-1 + 3 + 0). Find the common denominator of (-8 - w)/(42/213) and -13/10.
70
Let n = 253453/2481886 - -22/3049. Find the common denominator of 53/740 and n.
8140
Let l = -67 - -103. Suppose -41*j = -l*j - 120. Calculate the least common multiple of j and 3.
24
Suppose -3*t + 33 = -2*t. What is the common denominator of (-46)/(-2) + (-11)/t and -5/3?
3
Suppose -6194*u = -6224*u + 18540. What is the lowest common multiple of u and 1133?
6798
Let g(x) = 2*x**3 + 40*x**2 + 19*x + 18. What is the least common multiple of g