 of q and 91/72.
72
Let h = 27965/18576 + 9/688. Let k be (1 - -6729)/(24/(-14)). Let w = k - -3912. What is the common denominator of h and w?
54
Let n(b) = 3*b + 94. Let c(i) = i + 47. Let a(p) = 5*c(p) - 2*n(p). Suppose -171 + 66 = -5*t. Calculate the least common multiple of t and a(11).
252
Suppose -j + 201 = 1149. Let r be (j/(-8))/((-48)/3206). Let b = r + 7911. Find the common denominator of b and 37/8.
16
Suppose 3*b + 10 = -2*b. Find the common denominator of (-384)/(-495)*(24 + (-3233)/122) and ((-202)/180)/(b/(-6)).
330
Let j(t) = -t**3 + 8*t**2 + 8*t + 20. Let h be (-29)/(-3) + 10/(-15). What is the least common multiple of j(h) and 6?
66
Let o(l) be the second derivative of l**4/4 + 13*l**3/6 + 3*l**2 - 3*l. Let u be o(-5). Calculate the smallest common multiple of 36 and 48 - (7 + (u/4 - 7)).
396
Suppose 28 - 148 = -12*g. Calculate the smallest common multiple of 8/(-12) + 87/9 and -20*((-55)/g - -4).
90
Suppose 3*g - 22 = c, -4*g + 0*g = -2*c - 26. Calculate the lowest common multiple of 8 and g/(-15) + (-616)/(-35).
136
Let j = -451/336 + -41/112. Let l be 1970/2436 + (45/(-54) - 0). Let w = 334/609 + l. Find the common denominator of j and w.
168
Let i(b) = b**3 - 9*b**2 - 10*b + 3. Let c be i(10). Let t(q) = 0*q**c + 5*q**3 - 1 + 12*q**2 - 12*q**2. Calculate the lowest common multiple of t(1) and 26.
52
Let b = -2/16889 - -1232929/270224. Find the common denominator of b and 67/60.
240
Calculate the lowest common multiple of (-20)/(-8)*2*(-25)/(125/(-2928)) and 10.
14640
Let h(z) = z**2 - 86*z - 344. What is the least common multiple of h(90) and 1510?
12080
Let d = 219134 - 81956207/374. Find the common denominator of -33/34 and d.
374
Suppose 30907 + 5548 = 5*s. Let x = 291671/40 - s. Let h = 17/20 + x. What is the common denominator of h and 47/10?
40
Suppose 18*y - 18 = 234. What is the least common multiple of y and 266?
266
Let r = 381560 - 11442851/30. Let d = r + -395/3. Calculate the common denominator of d and 93/40.
120
Let o = 1868 + -1583. What is the lowest common multiple of o and 30?
570
Suppose 4*a = 5*t + 9723, a + 3*t + 2436 = 2*a. Let p = -14521/6 + a. Find the common denominator of (-1 - 5) + (-280)/(-72) and p.
18
Suppose -193*h - 267*h = 732 - 3032. What is the least common multiple of h and 937?
4685
Let t = 0 - -6. Let o = -5/6 + 1/3. What is the common denominator of o and (-843)/(-270) - t/27?
10
Suppose c - 25 = -4*g, 3*g = 3*c + 5 - 170. Calculate the least common multiple of 441 and c.
441
Suppose -3*g + m = -102, -30*g - 3*m = -27*g - 78. Let y = -25 - -45. What is the lowest common multiple of g and y?
160
Suppose y + 112 - 117 = 0. Suppose 5*v = 3*k + 3*v - 28, 1 = v. What is the smallest common multiple of k and y?
10
Let v be 2/(-2) - 18*(5 + -12). Suppose 119*x = v*x - 96. What is the least common multiple of 44 and x?
176
Let a(j) = -j - 5. Let f be a(-4). Suppose 0 = 34*l - 6*l + 224. What is the common denominator of (f/(-12)*-71)/(l/3) and -107/20?
160
Let b(j) = 3*j**3 - 4*j**2 + 12*j + 14. Let v be b(26). Let k = -2215297/44 + v. Calculate the common denominator of 63/4 and k.
44
Suppose -46 = -16*s + 82. Suppose 2*i + p - 41 = 0, -9*p + 20 = i - s*p. What is the smallest common multiple of i and 24?
168
Suppose 3*h + h + 21 = p, h + 19 = 3*p. What is the common denominator of (-277)/(-30) - 2/p and (-2 - 4) + ((-19)/(-6))/((-70)/(-161))?
60
Let o = -34637 - -71317/2. Let a = o - 61277/60. Find the common denominator of -49/33 and a.
660
Let u = -18084 - -35137/2. Let z = u - -552. What is the common denominator of z and -37/52?
52
Let h = 250793/193740 - 36/3229. Find the common denominator of h and -95/24.
120
Let z = 6248 - 68680/11. Calculate the common denominator of z and (-2)/6*(-972)/(-1596).
1463
Let d = 87 - 73. Suppose -d = -3*f + 4*g + 30, -2*g = f - 8. Let a(x) = x**3 + 6*x**2 - 10*x - 15. Calculate the lowest common multiple of f and a(-7).
12
Calculate the common denominator of (2 + (-1360)/1350)*5/36 and -61/270.
2430
Let j(k) = -28*k + 282. Let d be j(10). Suppose -d + 29 = 9*p. What is the smallest common multiple of p and 348?
348
Let m = 6 - 6. Suppose d = 4*c - 0*c + 17, -c - 5*d + 1 = m. Calculate the lowest common multiple of 83 and (44/(c/1))/(-1).
913
Let s = 4557 - 36517/8. Let z be ((-1)/(-3))/(3/27). What is the common denominator of s and z + (-263)/(-6) - 4/(-6)?
8
Suppose g - 4*n = -11, 3 = -5*g + 3*n - 18. Find the common denominator of g/8 - (-7634)/2992 and 75/2.
34
Suppose l + j = 0, -4*l + 3*j + j = -32. Calculate the lowest common multiple of -7*56/(-49) - (1 + 4) and l.
12
Let c = 2046352498350785540444145/3326296 + -615204569392144162. Let d = -18/415787 + c. Let o = 7810 + d. Find the common denominator of -81/10 and o.
40
Let t = 1201 - -867. Find the common denominator of -85/8 and t/280 + 3 + (-65)/25.
56
Let f = 1552/11 - 18635/132. Calculate the common denominator of (-309)/546 + -1 + 2 and f.
1092
Let l = 1/842449 + 127208713/914899614. Find the common denominator of 101/18 and l.
3258
Let o = -3/1141 + -10257/4564. Find the common denominator of 23/257 and o.
1028
Let t = -8871 + 8883. What is the smallest common multiple of t and 53?
636
Suppose 3*g + 5*v - 207 = 7274, 2*g = -4*v + 4984. Suppose 10*y + g = 19*y. What is the smallest common multiple of y and 4?
556
Suppose 94*w - 30 = 89*w. Suppose 1 - w = 5*p. Calculate the common denominator of (628/32 - 4) + (p - 2) and -43/12.
24
Let g be (1 - 7)/((-2)/(-22)). Let d = g - -72. What is the lowest common multiple of 51 and (-2)/5*(-5)/d*18?
102
Let j = 93025/4 + -53117101/2284. What is the common denominator of -51/10 and j?
5710
Let t = -309/29 - -5261/638. Let s be 0 - (-355 - (-3 - 0)). Find the common denominator of t and ((-7)/3 - -2)*(-3984)/s.
22
Let a = 1793 + -1593. What is the least common multiple of 75 and a?
600
Let g = -100 - -98. Let n = 20358 - 570117/28. What is the common denominator of g/(1 - 2) - 153/(-272) and n?
112
Calculate the common denominator of 31/6*(1620/28320)/(6/(-4)) and 53/9.
4248
Let r = 4/191 - -346/1719. Calculate the common denominator of r and ((-246 + 247)*5/(-2))/(3/(-22)).
9
Let x(s) = 12*s + 1. Let f be x(-3). Calculate the common denominator of (8874/272)/((-12)/(-16)) and f/(-4) + (1 - 1).
4
Suppose c + c = -5*x + 140, -2*c - 100 = -3*x. What is the least common multiple of x and 24?
120
Let p(d) = -2*d + 7. Let y be (-5 + 1 - -4)/(-3). Let n be p(y). Suppose 0 = 2*h - n*h + 70. What is the lowest common multiple of 6 and h?
42
Suppose 4*o + 2*s - 158 = 2*o, 67 = o + 4*s. Let b = 88 + o. Calculate the smallest common multiple of b and 57.
171
Let k = 13762 + -13573. What is the smallest common multiple of k and 1701?
1701
Let p be (1 + 5)*(-2)/(-3). Let x be 518/18 + p/18. Let w = x - 11. What is the lowest common multiple of w and 16?
144
Let d(h) = -h**2 + 4*h + 17 - 2 - 11 + 22. Let t be d(12). Let m = 71 + t. What is the least common multiple of m and 1?
1
Let y = -11044 - -463907/42. Let t = -75/199 - 238053/398. Let j = t - -632. Find the common denominator of y and j.
42
Let a = -2 + 12. Let k = 3374 + -3372. Calculate the lowest common multiple of k and a.
10
Calculate the common denominator of 12*44513/43680 - (-1 - -13) and 81/88.
5720
Let w(s) = 24*s - 3. Let p be w(1). What is the lowest common multiple of 12 and -3 + 2325/p + (-8)/(-28)?
108
Let z = -6256811/150 - -41713. Calculate the common denominator of z and -65/72.
1800
What is the least common multiple of 2096 and -5 + 33333/63 + ((-60)/(-63))/(-10)?
2096
Let s = 1854121/216 + -34335/4. Find the common denominator of s and 49/600.
5400
Let h be ((-6 - -3)*9)/(6/(-8)). Suppose 4*z + z = 10. Suppose -4*r + h = z*r. What is the lowest common multiple of r and 22?
66
Let i = 130057/32 + -4062. Calculate the common denominator of i and -13/480.
480
Suppose -p = -2*p + 5*q + 2, -3*p - q = 10. Calculate the least common multiple of (-8 - p)/((-10)/92) and 4.
92
Let u = 115 + -30. Let d be (-11 - 1)/(u/15 - 5). Find the common denominator of 22/21 and 231/d*(-18)/(-24).
168
Let u = -25 - -27. Let d be (3 + 1)*12/8. Suppose u*z = d*z - 88. Calculate the lowest common multiple of z and 4.
44
Let q be 6/(-21) - (1343190/(-213696) + 6). Let j = 197/43894305 - -210025554493/74444