-8)/170)?
56
Suppose -5*n - 20125 = -4*n + h, n + 2*h = -20129. Let g = 442567/22 + n. Find the common denominator of g and 109/22.
22
Let n = 84957/296 + 45/74. Let j = n - 277. What is the common denominator of j and ((-28)/32)/(30/340)?
24
Let w = -1032517/616440 - 1/30822. Find the common denominator of w and 101/8.
40
Let l(w) = w + 16. Let i be l(-10). Let r = i + -3. What is the lowest common multiple of 7 + -1 - (3 - 3) and r?
6
Let z be (-102 - -3)*(-1)/3. Let i = -6 - -8. Suppose z = v + i*v. Calculate the lowest common multiple of 10 and v.
110
What is the least common multiple of (-71)/(-3)*(-76 + 79) + 5 and 2?
76
Suppose 6*b - 11*b = -15. Calculate the common denominator of -24 and b/(6/(-40))*45/(-1380).
23
Suppose 3*m - 11 = 1. Let o = 13 - m. Calculate the lowest common multiple of o and ((-4)/6)/((-2)/9).
9
Suppose -f + 9 = -5*f - 5*o, -o = 3*f - 7. Let j(u) = -u**2 + 9*u - 4. Calculate the smallest common multiple of 28 and j(f).
112
Let u(h) = -h**3 - 10*h**2 + 10*h - 9. Let b be u(-11). Suppose -17 = -b*p + 19. Calculate the least common multiple of 20 and p.
180
Let s = -8 + 45/7. Let i = s - -353/140. Calculate the common denominator of i and 49/16.
80
Let r = -29637374235025193/1164 + 25461663355950. Let w = -1642013 + r. Let i = w + -24/97. Calculate the common denominator of i and -89/20.
60
Let u(j) = 2*j**2 - 62*j + 81. Calculate the least common multiple of 240 and u(30).
1680
Let p(o) = -o**2 + 602 - o + o**2 + 2*o - o**2. Let u be p(0). Find the common denominator of 43/5 and u/21*2/4.
15
Suppose -6*p - 16875 = 3*u - 3*p, 0 = -5*u + 5*p - 28145. Let t = u - -123875/22. Find the common denominator of -75/2 and t.
22
Let r be (1 + 3 - 3) + 3. Calculate the common denominator of 71/8 and 75/132*14 - r.
88
Let i = 6 - 2. Suppose -3*q = -3*r - 15 - 18, -i*q + 2*r + 36 = 0. Let a = 56 - 55. Calculate the least common multiple of q and a.
7
Suppose 5*n - 18 = 2. Suppose -2*z = -n*z - 28. Let b = 24 + z. What is the least common multiple of 5 and b?
10
Let h = 32 + -27. What is the least common multiple of 10 and (-2 - h)*-4*(-3)/(-14)?
30
Suppose -15 = -8*b + 3*b. Suppose -131*d + 136*d = m - 2, 0 = m + 5*d - 12. Calculate the least common multiple of b and m.
21
Let g(p) = -4*p - 35. Let f(t) = t + 9. Let l(q) = -9*f(q) - 2*g(q). Let n be l(-14). Suppose n*j - 85 = -1. Calculate the common denominator of j and 16/7.
7
Let o be -2 + -14 + (9 - 8). What is the least common multiple of ((-12)/o)/((-3)/(-120)) and 4?
32
Let u = 4 - 2. Suppose -4*a = 2*k - 68, 118 = 4*k - a - 0*a. Suppose -2*n + k = n. Calculate the smallest common multiple of n and u.
10
Suppose 0 = -2*j - y - 0 + 10, -2*y = 0. Suppose -3*m + 6 = -5*m, 4*m - 153 = -j*q. What is the least common multiple of q and 21?
231
Let k(m) = -m**2 + 10*m. Let n be k(9). Find the common denominator of (-6)/n - 181/30 and ((-90)/8)/(-1) + (-64)/8.
20
Let p = 4906/1731 + -1/1154. Let o = 4940 - 365549/74. Let j = -1375/333 - o. Calculate the common denominator of p and j.
18
Suppose 5*g + 4*m - 70 = 0, 29 = 4*g - m - 6. What is the smallest common multiple of g and 45?
90
Calculate the common denominator of 95/4 and 6 + (-331)/72 + -3.
72
Suppose 2519 - 461 = 7*o. Calculate the smallest common multiple of 9 and o.
882
Suppose 4*w = -3*g + 59, -4*w + 2*g + 23 = -w. Suppose -4*d - c = -49, 2*c - w = -d + 3. What is the smallest common multiple of d and 194?
1164
Let z = 19765 + -711593/36. Find the common denominator of z and -9/8.
72
Let x = 158 - 476/3. Calculate the common denominator of x and 131/66.
66
Let w = 66 + -36. What is the smallest common multiple of w and -3*((-224)/24 + 8)?
60
Let p = 1233 - 1013. What is the lowest common multiple of p and 200?
2200
Let u = -46 - -275/6. Let l(a) = -a - 40. Let d be l(0). Calculate the common denominator of (15/d)/((-30)/808) and u.
30
Let q = -3 + 1. Find the common denominator of ((-3)/(-6))/(4/(-186)) and q/10 - 726/45 - 3.
12
Let p(h) = h**2 - 12*h - 96. What is the lowest common multiple of (-1312)/(-5) - (-8)/(-20) and p(-6)?
1572
Suppose -b + 3*u = -33, 3*b - 59 = -4*u + 79. Calculate the smallest common multiple of b and 33.
462
Let f = -4 - -10. Calculate the common denominator of 1 - 3 - 95/(-16) and (-1527)/(-210) + f/14.
80
Suppose -29666 = -2*z + 2*y, -3*z + 74153 = 2*z - 2*y. Let f = 266785/18 - z. Calculate the common denominator of f and 454/12 - (-2)/(-6).
18
What is the common denominator of 3 + -4*5/(-15) and 97/72?
72
Suppose -5012395 = 2*k - 813559. Let b = k - -18915386/9. Let w = 2288 - b. What is the common denominator of 16/11 and w?
99
Let t = 151258/35 - 4321. Find the common denominator of 73/40 and t.
280
Calculate the common denominator of 71*2/8*-1 and 261/(-18)*(-2)/3.
12
Let k = -254580505507/3416 + 74525916. Let u = k + -8/427. Find the common denominator of u and 145/18.
72
Suppose -9*p + 19*p - 180 = 0. What is the least common multiple of 432 and p?
432
Let f = 175462/15 + -11693. Let t = -2896/1557 - 5/173. Find the common denominator of f and t.
45
Let p = 1199 + -1107. Calculate the least common multiple of p and 7.
644
Suppose -d + 111 = 91. What is the least common multiple of d and 38?
380
What is the common denominator of (105/33 - 3) + (-2460)/3850 and 16/5?
35
Suppose -1 = w + 5. What is the common denominator of 139/84 and w/16 + (-7)/7?
168
Let g = -18473 + 45462057/2461. Let r = g - -71297/44298. Let n = -522/5 + 8527/80. What is the common denominator of r and n?
144
Let l be 36/12 + (-1565)/1. What is the common denominator of -2/39 and 4/1 + l/363?
429
Let r = -5 - -9. Suppose 3*b - 17 = -m, 4*m - 9 - 8 = 5*b. Suppose -m*d = 5*d - 52. What is the lowest common multiple of r and d?
4
Let d = -11239749 - -5529953789/492. Let y = 73/82 - d. Calculate the common denominator of 61/22 and y.
132
Let b be (-1668)/774 + 2/3. Let g = 89097/86 - 1036. Let i = b - g. Calculate the common denominator of 46 and i.
2
Calculate the lowest common multiple of ((-285)/190)/(-1 - (-13)/14) and 252.
252
Let r = -21115/13 + 1621. Let c = -326/117 - r. Find the common denominator of -15/7 and c.
63
Let r = 5707/2110 - 1/211. Let a = 5/227 - 15703/1816. What is the common denominator of a and r?
40
Let q = 31 + -23. Calculate the common denominator of ((-109)/(-25))/(q/(-20)) and 29/4.
20
Let o = -6672360946899/9185 - -726441042. Let l = o + 2/1837. Calculate the common denominator of l and 23/5.
5
Let r = 54539/10 - 5445. What is the common denominator of (25/24 + -1)*118 and r?
60
Calculate the common denominator of 63/10 and (-1)/68*(1 - 860/(-10)).
340
Calculate the common denominator of (-6)/(-135)*5/(-36)*-149 and -113/14.
1134
Suppose b - 13 = -4*m, 4*b + 5 = 4*m - 3. What is the least common multiple of 114 and m?
114
Let n(h) be the third derivative of -h**6/120 + 3*h**4/8 + 5*h**3/6 - 26*h**2. Calculate the lowest common multiple of n(-4) and 24.
264
Suppose 3*l = 2*i - 2*l + 85, 4*i = -5*l - 125. Let x be -2 + 5/1 + i. Find the common denominator of -42 and (166/x)/(3/(-12)).
4
Let r(y) = 3*y**2 - 2*y + 1. Let w be r(1). Calculate the common denominator of (432/(-84))/((-3)/w) and (10/(-75))/(8/678).
70
Find the common denominator of (-85)/76 + (-8 - -8) and -2 - 18/(-7) - 1599/(-574).
532
Let v be 2/(((-24)/(-78))/2). Let p(n) = -n**2. Let b be p(-2). What is the least common multiple of 22 and 3 + (v - (8 + b))?
132
Let w = -14631/8 - -1837. Find the common denominator of w and (6/(-8))/((-27)/242).
72
Let n = 81 + -48. Calculate the smallest common multiple of 6 and n.
66
Let z = -7201 + 129487/18. Find the common denominator of z and -49/236.
2124
Suppose 3*s - 4 = 7*s. What is the common denominator of s - -1 - (-29)/11 and -4/33?
33
Suppose -6*m - 350 = 460. Let u be 18/42 + m/21. What is the common denominator of 42 and u/(-21) + (-304)/84?
3
Let u(g) = -10*g + 105. What is the lowest common multiple of 450 and u(9)?
450
Let o = 97 + -95. Suppose 5*u + 385 = o*f, -4*f + 4*u = f - 988. What is the smallest common multiple of f and 20?
200
Suppose -14 = -8*y + 106. Suppose -5*z - y = -6*z. Calculate the smallest common multiple of z and 12.
60
Let b be (-11255)/3740 + 2 + 1. Let w = b + 7695/2992. Calculate the common denominator of w and 86/20 + 0/2.
80
Let r = 9 + -14. L