 t be -1 + -5 + (5 - 2) - 17. Find the common denominator of 79/2 - (-2 - -2) and (6/8)/(t/380).
4
Let c(f) = -f**2 - 7*f - 6. Let k be c(-3). Suppose 4*x = k*x + 1666. Find the common denominator of 3/(-20)*x/(-21) and 37/4.
20
Let r = 56980853/440 - 129502. What is the common denominator of 71/352 and r?
1760
Let t = -1/4091 - -585031/73638. What is the common denominator of 31/24 and t?
72
Let l(u) = u**2 + 12*u + 23. What is the least common multiple of 46 and l(-11)?
276
Let u = 248271/20 - 12416. Calculate the common denominator of ((-42)/360)/((-8)/10) and u.
240
Let p = -1121991361326078649/318216 - -3525879783934. Let b = -1/13259 + p. Find the common denominator of b and -20/27.
216
Let m = -9952/10101 - 30/481. Let u be (-2)/63*(-7 + 2). Let x = u + m. Find the common denominator of x and 34/11.
99
What is the common denominator of ((-5)/15 - 0) + (-699)/(-18) and -13/219?
438
Let y be 190/(-15) + 0 - 6/(-9). What is the least common multiple of 7/((-28)/y) + 5 and 4?
8
Let d(h) be the second derivative of 1/12*h**4 + 3*h + 0 - 5/6*h**3 - 7/2*h**2. Calculate the least common multiple of 10 and d(7).
70
Let w(p) = p**2 - 9*p - 13. Let x be w(11). Let j = 21 - x. Calculate the smallest common multiple of 12 and j.
12
Calculate the common denominator of -65/38 and (-91)/(-39) - (-69)/18.
114
Let k be (3/(-2))/((-15)/300). Find the common denominator of ((-10)/4)/(24/27) and (-182)/36 + 1 + 90/k.
144
Suppose 0 = -9429*n + 9424*n + 15. Let z = -3 + 14. Calculate the smallest common multiple of z and n.
33
Let m = -2393840/33 - -72525. Let y = -3/11 - m. Find the common denominator of -27/8 and y.
24
Let g(o) = 3*o - 2. Let u be 2 + (2/1)/(-1). Suppose -2*b + 46 = 4*n - 0*b, u = -4*n + 5*b + 81. Calculate the smallest common multiple of g(4) and n.
70
Let p(z) = 71*z - 6. Let n be p(6). Let t = 9351/22 - n. Calculate the common denominator of (-2)/(-3)*(-870)/440 and t.
22
Suppose -31 = 5*r - 101. Calculate the common denominator of 28245/(-13650) + (2/(-10) - -1) and -2 + (-41)/r - -1.
182
Suppose -4*i + 158 = -2*i. Let z = i - 51. Calculate the least common multiple of 16 and z.
112
Let b(u) = -u**3 - 15*u**2 - 14*u + 5. Let r be 106/(-8) - (3 + (-18)/8). Calculate the smallest common multiple of 4 and b(r).
20
Let d = 0 - 0. Suppose d*n - 57 = -4*n + 5*t, 0 = 2*t - 6. Calculate the smallest common multiple of 10 and n.
90
Suppose -5*n = -3*r + 82, -18*r = -14*r - 4*n - 104. What is the lowest common multiple of 81 and r?
648
Let m = 1535/357 + -13/3. What is the common denominator of -36/35 and m?
595
Find the common denominator of (-198)/12 + 8 + -2 and -77/15.
30
Let q = -151263 + 34488043/228. What is the common denominator of -53/42 and q?
1596
Let p(x) = 7*x**2 + 3*x - 22. Let l(o) = o**3 + 16*o**2 - 18*o - 14. Let k be l(-17). Find the common denominator of p(k) and (-299)/(-12) + (-2)/3.
4
Let s = 75 - -33. What is the common denominator of (-2487)/s - 2/9 and 1240/30*(0 + (-18)/(-112))?
28
Find the common denominator of ((-1)/(-8 + 11))/(380/(-195)) and 119/6.
228
Let g = 21 + -3. Suppose g = -0*l + 3*l. What is the smallest common multiple of 18 and l?
18
Let l = 2645/208 - 158/13. Let q = -26434 - -14784. Let u = q + 256383/22. What is the common denominator of u and l?
176
Let r(g) = -214*g**2 - 6*g - 5. Let n be r(-3). Let s = n + 19113/10. What is the common denominator of s and -99/2?
10
Suppose -702 = -10*k + 258. Suppose -4*m = -2*b - k, m - 3*b - 24 = -6*b. Calculate the least common multiple of 18 and m.
72
Let i = -15271/11476 + 9/604. Find the common denominator of i and -39/16.
304
Let h(i) = 2*i**3 + i**2 - 8*i + 27. Calculate the smallest common multiple of 690 and h(0).
6210
Let k = -376/979 - -2487029/13706. Let s = 180 - k. Let v = -74/453 + -1/302. Find the common denominator of s and v.
42
Suppose 94 + 24 = -2*p. Let t = p + 66. Calculate the least common multiple of t and 4.
28
Let k = 26321/10 + -2635. Let n be 153189/36*1/((-8110)/(-8)). Let y = n - -2/811. Calculate the common denominator of y and k.
10
Suppose -19*k + 127 = -709. Calculate the lowest common multiple of 6 and k.
132
Suppose -5*a - 1664 = -18*a. What is the smallest common multiple of a and 40?
640
Let d(w) = w - 3. Let x be -4*3/(-6)*1. Suppose -x*m + 4*m = 4. What is the least common multiple of d(9) and m?
6
Suppose 2*j - 10 - 4 = -5*t, 3*j - 2 = 2*t. Let v(i) = -i. Let h be v(j). Find the common denominator of 97/8 and (h/24 - 0)*85.
24
Let w(j) = j**2 + 10*j + 3. Let z be w(-10). Let o be 1 - z - (3 + -7). Suppose -o*n = -7 - 1. What is the least common multiple of n and 11?
44
Calculate the common denominator of (-2505)/2160 + (-4)/9 and 31.
48
Let g(u) = u - 1. Let p be g(3). Let b(c) = -17 - 8*c**2 + 2*c**p + 12*c + 7*c**2. What is the lowest common multiple of 9 and b(-14)?
99
Suppose 4*h + h = 0. Let k = -8 - h. Let w(d) = -d**3 - 8*d**2 - d - 6. Calculate the lowest common multiple of 1 and w(k).
2
Suppose -21*h - 161 = -28*h. What is the least common multiple of 6 and h?
138
Suppose 2*f + 1054 = 1102. Calculate the smallest common multiple of 45 and f.
360
Suppose 5*r + 221 = -2*o - 744, -5*o - 5*r - 2405 = 0. What is the common denominator of -33/20 and 387/o - 4/(-10)?
160
Let s = 16037/18 - 890. Suppose -3 - 1 = -p. Calculate the common denominator of s and (-14)/p*4/(-8).
36
Let q = -65 + 45. What is the smallest common multiple of 220/(-8)*16/q and 18?
198
Suppose -v = 5*x - 24, 2*v + 4*x - 27 = x. Suppose -3*j + v*c + 29 = 4*c, 4*j = -3*c. What is the lowest common multiple of j and 8?
24
Let n(j) = -8*j - 4. Let c be n(-2). Calculate the common denominator of (0 - (-424)/c)/(-8) and -99/16.
48
Suppose -4*v + 4*s - 14009 = 4495, 0 = -4*v + 5*s - 18507. Let l = v + 55441/12. What is the common denominator of l and (-1)/((-6)/(-297)) + -1?
12
Let s(z) = 32*z + 26. Let n be s(12). Let p be n/(-17) + (-28)/(-238). Let v = p + 26. What is the lowest common multiple of 7 and v?
14
Suppose -3*n - 351 = -5*p, 13*n - 18*n = 5*p - 375. Suppose 4*u + u = -3*x + 28, -2*x = -5*u + 23. Find the common denominator of 3 and x/(-6) + (-260)/p.
9
Suppose 6*o + 178 = 5*o. Let n = 309 + -219. What is the common denominator of -41/96 and (o/12)/(n/27)?
480
Suppose 0 = -u + 2*k + 371 - 59, -5*k = 10. What is the least common multiple of u and 2?
308
Suppose 21*t = 406 + 770. What is the smallest common multiple of t and 128?
896
Let q = -997/2 + 1513/3. What is the common denominator of (4/(-10))/((-9)/65) and q?
18
Let s be (22/(-8))/((-4)/16). Let r = -5 + s. What is the smallest common multiple of r and (-36)/(-48) + (-9)/(-4)?
6
Suppose -6*t = 3*t - 414. Suppose z = 3*g + t, 0 = g - 0 + 2. What is the common denominator of z and -51/28?
28
Find the common denominator of 63/20 and (-444)/(-3330) + (-181)/(-60).
20
Calculate the common denominator of (-35)/56 + 0/(3 + 2) and 9/124.
248
Let v be 5/(-5)*0/(-5). What is the lowest common multiple of 0 - (v*(-1)/4 - 4) and 6?
12
Let c = -1811/3 - -596. What is the common denominator of c and -27/181?
543
Let r = 2923 + -2073. Let u(w) = -12*w - 4. Let p be u(-3). Find the common denominator of -79/10 and (4/10)/(p/r).
40
Let l(p) = 2*p + 12. Let t be -5 + 3 + 9/(-3). Let g be l(t). Suppose 0 = -2*r + 3*s + 32, -5*s = -r - 0 + g. What is the lowest common multiple of 18 and r?
198
Calculate the common denominator of (-871)/(-234) - (2 - 12/2) and 85/12.
36
Let k be (-4)/10 - 8/110. Let j = k - 8/11. Calculate the common denominator of j and 75/2.
10
Suppose 0 = 32*v - 715 - 149. What is the least common multiple of v and 57?
513
Let n = 70614633/14 + -5041633. Let k = n + -2271. Calculate the common denominator of k and -63/2.
14
Let q = -1617 - -1878. What is the smallest common multiple of 29 and q?
261
Let n = -25126 - -5427283/216. What is the common denominator of 35/72 and n?
216
Calculate the common denominator of 23/240 and 6350/13750 - 4/22.
1200
Let c = -501512841/26 + 19286448. Let u = c - -2508. What is the common denominator of -41/14 and u?
182
Let c = -107/72 + 3/8. Let y = 2381/2783 - -28/121. Calculate the common denominator of y and c.
207
Let m(w) = -2*w - 7. Let i be m(-5). What is the common denominator of -1 + 4 + (-8 - -3) + -16 and (258/(-40))/(i/2)?
10
What is the c