80
Let d(v) = v**3 + 12*v**2 + 15*v + 19. Let l be d(-11). Let r = l - -22. What is the common denominator of r + 4/(24/63) and 65/46?
46
Let h = 250991/38 - 6603. What is the common denominator of (-8)/(-10) - ((-534)/(-120) - (-3 + 1)) and h?
380
Let p be -2 + (3 - (1 + -2)). Suppose f - 2*l = 6*f - 97, -43 = -p*f - 5*l. What is the smallest common multiple of 8 and f?
152
Let g = 19409 - 349469/18. Let b(p) = -p**3 + 2*p**2 + 4*p - 1. Let a be b(3). Find the common denominator of g and (-135)/(-20) - 4/a.
36
What is the common denominator of 77/15 and (4/7)/((-450)/(-3570))?
15
Let j be (7261863/(-98))/(36/(-7)). Let t = 14413 - j. Calculate the common denominator of t and -95/6.
24
Suppose 2*i - 8*q - 46 = -4*q, 0 = 3*i + q - 41. Calculate the least common multiple of i and 5.
15
Let l be (-202)/8 + (-30)/(-24). Calculate the least common multiple of 55 and (-9)/4*l/(-9)*-1.
330
Let a be 34/(-119) + 97905/2338. Let v = 15/167 - a. Calculate the common denominator of v and -34/11.
22
Suppose 11*a + 749 - 1145 = 0. What is the lowest common multiple of 282 and a?
1692
Let w = -28483/4920 + -103/205. Calculate the common denominator of w and -2/15.
120
Let x = -4249/10 + 425. Calculate the common denominator of x and 27/10.
10
Let b = 932 + -924. What is the lowest common multiple of (-100)/(-6) - (-2)/(-3) and b?
16
Suppose 0 = -y + 6*y + 20. Let x be 1/y - 51146/(-6664). Let a = x + 3/833. Find the common denominator of 67/6 and a.
42
Find the common denominator of (-10)/160*(488/15)/2 and -59/18.
180
Let c(j) be the second derivative of j**4/12 - 23*j**3/6 + 3*j**2 - 47*j. Calculate the least common multiple of -1 - (1 + -2 + -7) and c(23).
42
Let w(b) = -b**2 - b + 8. Let o be w(3). What is the lowest common multiple of 15 and 8 + (3 + -3 - o)?
60
Let i = 3807667/1299 - 8794/3. Find the common denominator of -1/3 and i.
1299
Let i = 12 + -8. Suppose h - 140 = -i*h. Calculate the least common multiple of 8/h - 5/(-7) and 4.
4
What is the common denominator of -77/136 and (-79)/(-2)*-1*(-1)/5?
680
Let j = -28 + 30. What is the common denominator of 17/10 and 3 - j - 63/24?
40
Let h = 97/70 - -18/35. Let i = 0 + -71. What is the common denominator of h and ((-1)/5)/((-2)/i)?
10
Let i = -778/19 + 1569/38. Let x = 3665/56 + -445/7. What is the common denominator of x and i?
152
Suppose -2 = 3*h - 44. Let g(n) = 4*n + 4. Let k be g(-2). Calculate the common denominator of (k/h)/(2/(-53)) and 99/2.
14
Let n(g) = -61*g + 13. Let h be n(-7). What is the common denominator of -73/6 and 4/22 - (-932)/h?
30
Suppose -4*y - 3 = -y, -2*g + 5*y + 17 = 0. Suppose -53 + 161 = g*v. What is the lowest common multiple of v and 11?
198
Suppose -r - 2*r = -27. Suppose -64 = -4*u - 20. What is the least common multiple of u and r?
99
Let r(o) = o**2 - 37*o - 105. Calculate the least common multiple of r(43) and 18.
306
Let r = 2/2875 + -201268/25875. What is the common denominator of r and (-2)/8 - (-4355)/804?
18
Let z(f) = -f**2 + 20*f - 2. Let j be z(22). Let i = -40 - j. Suppose -5 + 13 = 4*x. Calculate the least common multiple of x and i.
6
Calculate the least common multiple of 3 - (-4 + -4 + 9) and 6.
6
Let v(b) = 4*b**2 - 10*b - 4. What is the least common multiple of 20 and v(4)?
20
Let p be (-3)/((15/(-41))/5). Suppose -2*q - p = -201. Suppose -32 = -4*w + v, -5*v + q - 33 = 3*w. Calculate the least common multiple of w and 9.
9
Suppose 0 = -2*i - f + 45, 111 = 5*i + 5*f - 4*f. Suppose -4*x - c + i = -x, 2*x + 7 = -5*c. Calculate the least common multiple of x and (9 + -5)/((-1)/(-1)).
36
Let t = 81909/14980 + 81/428. Let a = t - -599/420. What is the common denominator of 73/3 and a?
12
Suppose 5*j = 2*r - 3*r + 16856, 4*j - r = 13483. Let i = 505920 - 2037093/4. Let m = i + j. Find the common denominator of m and 45/7.
28
Suppose -4*s + 4 = -2*f, 4*s + 4*f = -0*s + 16. Find the common denominator of 0 + 0 + s/(-12) and (2226/120 + -15)*(-2 + 1).
60
Calculate the common denominator of 57/88 and (1 + (-3)/6)*(-505)/(-180).
792
Suppose -4*v = -v + a - 478, 5*a = -v + 150. What is the least common multiple of 10 and v?
160
Let a = -5806941/52 + 495515/104. Let u = -107295 - a. Let z = u + 394. Calculate the common denominator of 103/18 and z.
72
Let b(f) = -f**3 + 6*f**2 + 2*f - 7. Let g be b(6). Suppose 3 = 5*t + g*h - 12, 2*h + 29 = 3*t. Calculate the lowest common multiple of t and 10.
70
Calculate the lowest common multiple of (-20 + 0)*2/(-2) and (-6)/(-14) - ((-6540)/(-28))/(-15).
80
Let l = -3122 - -5699. Let q be 41386/16 - (-4)/8. Let k = q - l. Calculate the common denominator of k and -9/2.
8
Find the common denominator of -47/9 and (-45)/240*(0 - 21/36).
576
What is the common denominator of -38/11 and 6/44*4/(-7)?
77
Let b = 1257993 + -30186121/24. Let a = b + -237. What is the common denominator of 19/12 and a?
24
Suppose -58 = 3*x - g, 0 = -3*x + 8*x + 4*g + 91. Let b = -23 + x. Calculate the common denominator of 12/b - (-222)/140 and -41/2.
10
What is the common denominator of 51/77 and -3 + 95/30 + 97/66?
77
Calculate the least common multiple of (-24)/4 - 640/(-4) and 10.
770
Let c = 3 + 3. Suppose o - 1 - 3 = 0. Calculate the smallest common multiple of c and (-69)/(-12) - (-1)/o.
6
Suppose 0*m = 2*m - 16. Let v(k) = -4*k - 79. Let z(a) = 3*a + 53. Let s(p) = -5*v(p) - 7*z(p). What is the least common multiple of m and s(14)?
40
Let g(k) = 76*k**2 + 5*k + 2. Let x be g(-7). Let t = x + -22081/6. Find the common denominator of -9 + 6290/210 + (-2)/7 and t.
6
Let q(l) = -l - 5. Let h be q(-8). Suppose 0*o - x = -2*o - 49, 0 = -5*o + h*x - 122. Let a = -18 - o. Calculate the lowest common multiple of 8 and a.
56
Let y be 148/4551 - -1*2/6. Let l be (-411)/82*3/4. Let g = l - y. Find the common denominator of g and -26/11.
88
Let a(v) = v**2 + 12*v - 16. Calculate the least common multiple of 12 and a(-18).
276
Find the common denominator of (-116)/9*(-3)/(-16) and 0 - (-32)/48*254/16.
12
Suppose -52 = k + 5*j, -152 = 5*k + 13*j - 15*j. Calculate the common denominator of k and 127/48.
48
Suppose 6*p = 5*p, u = -3*p + 10. What is the least common multiple of 774 and u?
3870
Let l(j) = -j**2 - 2*j + 280. Let k be l(0). Find the common denominator of (-2404)/k - 6/(-21) and -46/3.
30
Suppose 3*u = j - 23, j + j + 2*u - 22 = 0. Calculate the lowest common multiple of 6 and j.
42
Let g = -641 + 647. What is the smallest common multiple of 73 and g?
438
Let d = -289 - -299. What is the least common multiple of 1/4 + (-312)/(-32) and d?
10
Calculate the common denominator of ((-344)/40)/((-1 - 3)/(-2)) and 163/180.
180
Let l be 1*(-4 - -2) - -12. Let i = 0 + l. What is the lowest common multiple of 10 and i?
10
Let r = 26 + -17. Suppose -5*m = 14*o - 10*o + 6, -o = 2*m. What is the smallest common multiple of r and m?
18
Find the common denominator of 2/1223 and -3*(-2)/(240/(-424)).
6115
Let z = 944669334133/26945578 + 470175/72047. Let o = z - 35065. Let d = o + -6046/561. Find the common denominator of d and -29/16.
48
Let l = -25 + 7. Let n = 21 + l. Suppose -4*u - n = -5*s - 1, -5*s = -5*u. What is the lowest common multiple of s and 22?
22
Let d = 705 + -600. What is the lowest common multiple of d and 150?
1050
Let y(m) = -m**3 + 7*m**2 + 2*m - 10. Let f be y(7). Calculate the common denominator of (-3)/(30*-1)*f and 125/6.
30
Suppose -8862 + 2024 = -2*f. Let v = 37654/11 - f. Calculate the common denominator of -69/8 and v.
88
Let f(a) = -a**2 - 19*a - 66. Let v(u) = u**3 - 7*u**2 + 8*u - 4. Calculate the lowest common multiple of v(6) and f(-6).
24
Find the common denominator of 36/11 and (((-2975)/(-20))/17)/(1/4).
11
Let p = -76 - -89. Suppose -4*n + 12 = -2*n. Let h(m) = m**2 - 5*m - 2. Calculate the lowest common multiple of p and h(n).
52
What is the common denominator of 29/60 and 3939/5005 - (-4)/14?
660
Suppose -3*c + 9 = 3*d, 4 + 2 = -4*d + 5*c. Calculate the common denominator of (-59 + d)*(1 - (-20)/(-18)) and -29.
9
Let j = -3487 + 5881. Suppose 5*s + 4*c + 64 = -0*c, -s + 5*c = 36. Calculate the common denominator of 15/8 and j/(-240) - (-2)/s.
40
Let p(n) = -n - 4. Let r be p(-5). Let d = 2461/215 + -2/43. Calculate the common denominator of d and (-198)/4 + r/1.
10
Let b = 78 + -77. Let d = 23 + b. Calculate the le