0
Let n = 5167262528/19 - 272057485. Let q = -96323 - n. Let d = -6041/304 - q. Find the common denominator of 15/4 and d.
16
Suppose 5*n - 125 = 5*h, h - 3*n + 20 = -15. Find the common denominator of 51/10 and 164/(-50)*h/16.
10
Calculate the common denominator of (-45)/108*438/(-20) and 71/66.
264
Let o be 4/(156*19 + 2). Let l = -146849/23728 + o. What is the common denominator of l and -33/104?
208
Let p = 6669 + -119953/18. Let b be 7562/(92/6 - 2). Let o = 566 - b. Calculate the common denominator of p and o.
180
Let b(p) = -p**3 - 7*p**2 - 9*p - 8. Let i be b(-7). Let g be (-4)/1542*(-22)/i. Let z = g + 37771/7710. Calculate the common denominator of 133/54 and z.
270
Let b be (3043/688)/(9/36). Let s = b - -5/86. Find the common denominator of s and -3/2.
4
What is the common denominator of 200/(-28) + 7 + 202/112 and 86/21?
168
Let l = -4/18585 - 2902/3717. What is the common denominator of -1/189 and l?
945
Let s = -21 - 23. What is the least common multiple of 6 and -1*2/4 - 418/s?
18
Let g = 6 - 25. Let l = g + 13. Calculate the least common multiple of l/4*4/(-6) and 3.
3
Suppose 39 = t - 3*n + 4*n, 3*t + n - 117 = 0. Suppose -i - 11 + t = 0. Suppose -8 = 4*f, 3*b + 0*f = 2*f + i. What is the least common multiple of 14 and b?
56
Let u = 0 - -2. Let r be ((-4)/10)/(2/10). What is the least common multiple of u and 2 + (-5 + -2)*r?
16
Suppose -2 = 4*i - l + 4, 0 = 3*i - 5*l - 4. Let b(y) = -331*y - 2. Let d be b(i). Calculate the common denominator of -145/6 and (-1596)/d + 2/(-5).
66
Let x(w) be the third derivative of -w**4/6 - w**3/6 - w**2. Suppose -5*l + 4*n + 4 = 21, -4*n + 10 = 2*l. What is the least common multiple of 6 and x(l)?
6
Calculate the common denominator of 3/4 and ((-1305)/70)/9*(-4)/(-16).
56
Let p = -85 - -25. Calculate the common denominator of (-11374)/(-5640) + (-2)/3 and 2/(-6) - (-718)/p.
20
Let y = -111 + 103. What is the smallest common multiple of 44 and (-16)/10*-1*(-20)/y?
44
Let w(q) = 6*q + 24. Let z be w(-5). Suppose 5*o - 5*m - 55 = 0, 5*o - 33 = 4*m + 19. What is the common denominator of (17/z)/(8/o) and -101/18?
18
Let d = -3/21652 - 221867/476344. What is the common denominator of d and 99/40?
440
Let g(j) = -13*j + 3. Let i be g(-9). Let h = i - 96. Calculate the least common multiple of h and 15.
120
Suppose 14*n - 16*n - 72 = 0. Find the common denominator of -187/30 and 456/n*(-2)/36.
270
Let j be ((-26564)/(-6))/(40/(-42)). Let s = -4661 - j. Calculate the common denominator of s and 65/6.
30
Let x(w) = w**2 - 9*w - 245. Calculate the least common multiple of x(-12) and 1.
7
Let y = -181 + 180. Calculate the common denominator of ((-75)/(-6))/(0 - y) and 46/((-4)/3 - 0).
2
Let n(r) = 11*r**2 - 6*r + 11. Let b be n(5). Suppose 4*y = 4, 0*z + 3*z - b = 2*y. What is the lowest common multiple of 4 and z?
172
Let g = -67387/1182912 - 2/6161. What is the common denominator of 13/168 and g?
1344
Let m(p) = p**3 + 6*p**2 - 8*p - 6. Let x be m(-7). What is the common denominator of x + 2 + (-135)/(-100) and -47/32?
160
Let v = -208 - -292. Calculate the lowest common multiple of v and 132.
924
Suppose -5*z + 211 = 2*i, -4*z - 368 = -5*i + 176. Let a = 49 - i. What is the common denominator of -69/20 and (2/8)/(1/a)?
20
Let f(z) = 8*z**2 - 1. Suppose -29*j + 33*j = -4. Calculate the smallest common multiple of f(j) and 5.
35
Let f = -9044 - -397955/44. Calculate the common denominator of 45/124 and f.
1364
What is the lowest common multiple of (-68)/(-6) + (-22)/66 and 7?
77
Let h = 8 + -1. Suppose -36 = 3*b - h*b. What is the smallest common multiple of 11 + 0/(2 + -3) and b?
99
What is the least common multiple of (-35 - -36)*(-7)/(-1) and 14?
14
Let k(d) = -5046*d + 3. Let n be k(4). Let v = n - -10893. Let t = -55853/6 - v. Find the common denominator of -2/11 and t.
66
Let d = 138 - 75. Suppose -2*z - 3*p + d = 11, 2*z + p = 44. Calculate the smallest common multiple of z and 26.
260
Let k(a) = -a**2 - 17*a - 11. Let i be k(-17). What is the least common multiple of 1 and 1 + 0 + (-4 - i)?
8
Let v(i) = i**2 - 5*i + 3. Let t be v(5). Suppose 9 + 18 = t*m. Let y = 23 - 13. What is the smallest common multiple of y and m?
90
Let x be 5*-1*(-10)/50. What is the smallest common multiple of x/(((-2)/(-6))/1) and 18?
18
Suppose 4*b + 0*b + 5*a - 41 = 0, -20 = -4*a. Let s = 14 + b. Calculate the smallest common multiple of s and 8.
72
Let r = 52 - 108. Calculate the common denominator of 458/r - 32/(-8) and -49/2.
28
Let o be 2 + (-2 - (-9)/1032). Let t be 1633/(-2)*(-18)/(-1032). Let g = o - t. Calculate the common denominator of g and -15/8.
8
Let z(y) = 2*y**2 + 36*y + 3. Let j be z(-18). Suppose 0 = -6*l + j*l + 21. Calculate the smallest common multiple of 1 and l.
7
Suppose -4*u + 68*g = 70*g - 10, g = 2*u - 3. Let x(f) = f**3 - 6*f**2 + 6*f + 5. What is the smallest common multiple of u and x(5)?
10
Let k = 1682636 + -524978917/312. Let d = k + -64/39. What is the common denominator of -101/24 and d?
24
Let t = 8959 + -214903/24. Calculate the common denominator of -79/150 and t.
600
Suppose -3*j - 4*q + 9 = -7, -4*j + 38 = 2*q. Suppose 5*r + 6*u - 55 = u, -r = 4*u - 2. Calculate the lowest common multiple of r and j.
84
Let t be (-2)/4*16/(-8). Suppose -2*n + t + 7 = 0. What is the lowest common multiple of n and -4 - 1*-2 - -18?
16
Suppose -f - 3*i + 15 = -6*f, f = -3*i - 21. What is the common denominator of 61/f - (-11)/33 and 60/28 - (1 - 1)?
42
Suppose 0 = l - 2*f + 7, 3*f = -2*l - 0*l + 14. Find the common denominator of (-15)/(-12) + 1505/1548 and (-174)/16 + (1 - l).
72
Let j = -13525 + 148816/11. Suppose 0 = -5*v + 2*v + 282. Suppose 4*l - 10 + v = 0. Find the common denominator of l and j.
11
Suppose -f + 3*t + 5 = 71, 0 = -3*f + t - 222. Let c = f - -86. Suppose 4 = -5*q + 14. What is the lowest common multiple of c and q?
22
Let n be 2*1 + (-892)/90. Let v = 8/123125 - -24058049/8865000. Let h = n - v. Find the common denominator of h and -56/11.
88
Let d = -422495/992264 - 4/4277. What is the common denominator of d and -25/2?
232
Let k(a) = 44*a - 2. Let o be k(1). Let n = 104 - o. What is the lowest common multiple of n and 14?
434
Let k = 169/8 - 195/8. Find the common denominator of k and ((-79)/3)/(6/9).
4
Let t = 114745/68706 + -392/347. Find the common denominator of t and -19/108.
1188
Let i = -5185682/4667 - -14444/13. Let n = i - -23248/16155. What is the common denominator of 11/9 and n?
45
Let d = -355 - 322. Let k = -3199 - d. Let r = 22675/9 + k. Calculate the common denominator of r and -11/4.
36
Suppose -1 = -5*z - 6. Let j = 74 + -63. Let h = j + z. What is the smallest common multiple of h and 8?
40
Suppose -128 = 15*a + 412. Let u = 1 + 1. Calculate the common denominator of 63/22 and 33/60*a/u.
110
Calculate the least common multiple of 6 - -23 - (-1 + -4) and 153.
306
Let o = -971/1756 - -1452163/131700. Let i = -19/150 - o. What is the common denominator of -19/2 and i?
10
Calculate the least common multiple of (-1)/1*-27*19/57 and 111.
333
What is the common denominator of -187/300 and 3/60*(-95)/(-3)?
300
Let n = -10734 - -64555/6. What is the common denominator of 70/27 and n?
54
Let g(d) = -13*d - 27. Calculate the smallest common multiple of g(-8) and 49.
539
Suppose -5*h + 9*q + 45 = 4*q, 2*h - 3*q - 22 = 0. Suppose -h*z = -144 + 24. Calculate the least common multiple of 16 and z.
48
Let h = -1231 + 1242. What is the lowest common multiple of 2 and h?
22
Let n(v) be the third derivative of -v**6/120 + v**5/10 + v**4/12 + v**3/3 - 24*v**2. Suppose 0*r + 21 = 3*r. What is the common denominator of n(r) and -70/3?
3
Let r = 16572 + -331519/20. Calculate the common denominator of 42/155 and r.
620
Suppose -2*r - v = -3*v - 32, -4*r + 109 = 5*v. Suppose 4*i = 3*p - r, 14 = 2*p - 9*i + 4*i. What is the smallest common multiple of 2 and p?
14
What is the common denominator of (-15)/10*79/21 and (14/70)/((-4)/(-22))?
70
Let p = 18521/259 - -404/37. Let v be 3 - 44/16 - 4654/(-56). Let a = p - v. Calculate the common denominator of a and -87/16.
112
Let s = -175 - -2627/15. Find the common denominator of s and ((-7)/12)/(35/(-56)).
15
Suppose 7*d + 403 = 550. What is the smallest common multiple of d and 102?
714
Let h(f) = f**3 - 2*f**2 + f - 2. Suppose