109 = -l, -q + l = -21. Let x be ((363386/(-5))/(-2))/((-90)/q). Let k = 10091 + x. Calculate the common denominator of k and 51/8.
72
Suppose 13317 + 7657 + 19350 = 34*p. What is the lowest common multiple of 20 and p?
11860
Let c be (8/(-10) - -2)/(90/1200). Find the common denominator of 4/c + (-816)/512 and -85/12.
96
Suppose 3*f = -3*z - 18, 3*z + 4*f = -f - 28. Let v be 18/(-10) - z - 528/165. Calculate the common denominator of 73/32 and (-375)/360 - (2 + 10/v).
96
What is the common denominator of 1287/(-264) + (-2 - 5/(-2))*0 and 69/12628?
25256
Let s = 1/96241 - 5876757/582835496. Calculate the common denominator of s and 41/6.
18168
Let h(y) = -4*y**2 - 2*y + 4. Let u be h(2). Let p = u - -15. What is the common denominator of 14/11 and (8/6)/p*219/36?
99
Suppose 2*d + 0*d - 5*l + 9 = 0, -4*l + 12 = 0. Let v(y) = y**2 - d*y**2 - 9*y + y**2. What is the least common multiple of 21 and v(-6)?
126
Let u = 2254 + -1414. Suppose -46*v + 18*v + u = 0. What is the least common multiple of 5 and v?
30
Suppose 3*s = -0*s + 2*g + 1160, -2*g = 4*s - 1570. Calculate the smallest common multiple of 117 and 59930/s + (-14)/(-6).
468
Let g = -2323 + 18497/8. Let s(x) = -x**3 - 17*x**2 - 36*x - 1. Let w be s(-13). Find the common denominator of g and (w/(-18))/11 - -7.
72
Let a = 35813309/11638 + -33849/11. Find the common denominator of a and 139/6.
3174
Let h(r) = r**2 + 3*r + 2*r + 0*r - 4*r - 17. Let g be h(-5). What is the smallest common multiple of (114/30 - 5)*(-10)/g and 20?
20
Let d(i) be the second derivative of i**5/10 - 17*i**4/12 - i**3/3 - 39*i**2/2 - 48*i. Calculate the smallest common multiple of 27 and d(9).
216
Let z = 28865 + -375031/13. Let p = -5437/260 + z. Find the common denominator of 34/(-85) + (278/(-280))/1 and p.
140
Let q = 20/3089 + 123769/444816. Calculate the common denominator of q and 73/192.
576
Let f = 2200373/6 - 362604. Let k = -4147 + f. Calculate the common denominator of -61/222 and k.
222
Let i = 164411/2678580 + -4/14881. What is the common denominator of i and 119/1098?
10980
Find the common denominator of 71/1750 and ((-20)/54)/(-5) - (-393760)/(-2808000).
22750
Find the common denominator of -87/418 and (2 - ((-4032)/(-385))/9)/(8/(-5)).
836
Calculate the common denominator of 2 + -11 - 3 - (-161476)/13426 and -17/28.
3836
Let n = -734523896 + 2152154992849/2930. Let r = 13/293 - n. Find the common denominator of -19/5 and r.
10
Let x(o) = -o**3 - 40*o**2 - 97*o - 2. Let l be x(-39). Let m = l - 27103/12. Calculate the common denominator of 99/28 and m.
84
Calculate the common denominator of 1 + 0 - 182/(-8) and (-3283)/84*21/((-4851)/66).
12
Let u = 2096 + -2020. Calculate the least common multiple of 190 and u.
380
Suppose 3*x - 1550 = -g, 0 = 2*g - g + 4. Suppose 838 = 5*j - 2*d, 0*d = 3*j - 5*d - x. Calculate the least common multiple of j and 1.
166
Let a be (-129)/43 - (0 + -5*1). Let x(j) = -1 + 10*j**a + 2 + 4 - 10*j + 7*j. Calculate the least common multiple of x(2) and 30.
390
Let x = -671 - -349. What is the least common multiple of (-2)/7 - 1*x/98 and 15?
15
Let x = 7687 - 7597. What is the smallest common multiple of x and 630?
630
Suppose 3*w - 42 = 2*g, 1 = 2*w - 3*g - 27. Let h(b) = -5*b - 15. Let j be h(-6). Suppose -3*i = -j - 27. Calculate the smallest common multiple of w and i.
14
Suppose 2*n + 4*z = -2*n - 8, -5*n - 3*z = 0. What is the common denominator of (-24)/(-18)*n + (-229)/40 and -41/88?
440
Let f = -1 - -3. Suppose -2*z = f*c, -4*c + 2*c - 6 = -z. Suppose -70 + 103 = 11*b. Calculate the least common multiple of b and z.
6
Suppose 0 = -7*n + 15 + 20. Suppose 5*g = -n*j + 40, -21*j + 41 = -16*j + 4*g. Calculate the lowest common multiple of j and 5.
45
Suppose 10*a + 4 = 4. Suppose h + a*h - y = 1, -2*y + 4 = 4*h. What is the common denominator of -43/10 and h/5*(-174)/(-6)?
10
Suppose n - 4 = -29. Let x = 46687/49 - 953. What is the common denominator of x and n?
49
Let o = 4609/654 + 13/109. Let j = 31991 + -1055786/33. Find the common denominator of j and o.
66
Let d be (-92)/(-414) + (-145614859)/1692. Let m = -86061 - d. Calculate the common denominator of m and 107/22.
2068
Let r = 1341/5 - 44338/165. Calculate the common denominator of r and ((-62)/18)/((-104)/(-48)).
429
Let l(d) = -d**2 + 7*d + 200. Calculate the smallest common multiple of 80 and l(15).
80
Let j = 620/9 + -610/9. Calculate the common denominator of 2/4 - 26/(-444) and j.
333
Let x be ((-10)/25)/(2/(-355)). Let m = x - 71. Suppose -2*i + 10*i - 72 = m. Calculate the least common multiple of 1 and i.
9
Let o = 673 + -243. Calculate the least common multiple of 36 and o/8 + 76/(-16) + 5.
108
Let v(q) = -q**3 + 8*q**2 + 5*q + 7. Let g be v(5). Let y = g + -99. Calculate the lowest common multiple of y and 18.
72
Let a(o) = o**2 + o + 955. Let c be a(0). Let z = c - 1875/2. Calculate the common denominator of z and (-78)/208*(2 - (-2)/(-4)).
16
Suppose 2*i = 5*m + 6855, 3*i - 4*i + 5484 = -4*m. Let h = m + 19181/14. Let j = -7093/18 - -3487/9. Calculate the common denominator of j and h.
126
Suppose 0 = 8*m + 40 - 64. Let x(b) = -b**2 + b. Let s(f) = -4*f**2 - 5*f - 9. Let j(o) = -s(o) + 3*x(o). Calculate the least common multiple of j(-8) and m.
9
Let u be 0 + -2 - (13 - 1087). Suppose 18*m - 10*m = u. What is the lowest common multiple of 14 and m?
938
Let l(f) = 2*f**3 - 7*f**2 + 19*f - 90. Calculate the least common multiple of 876 and l(4).
876
Let q(r) = r**3 - 8*r**2 - 22*r - 41. Let c be q(10). What is the least common multiple of -14*c/4 + 1/2 and 6?
642
Suppose 2*g + 8 = 0, -4*q - 2*g - 44 = 3*g. Calculate the smallest common multiple of 18 and q/((-6)/(-5)) + 153.
1332
Suppose -6*h + 23*h = 55*h - 40546. What is the lowest common multiple of h and 2?
2134
What is the smallest common multiple of 162 - 34 - ((-12)/(-5) - 2)*20 and 280?
840
Suppose q = -2 + 3, 4*q = -2*k + 28864. Let v = -288509/20 + k. Calculate the common denominator of v and ((-62)/217 + 1762/42)/(-6).
180
Let w = -32809742107/5661108 + 123/157253. Let m(b) = -232*b**2 - 5*b - 18. Let t be m(-5). Let g = w - t. Find the common denominator of 101/32 and g.
288
Suppose 0 = 3*w + 2*p - 244, 3*p + 180 = 2*w - 0. Calculate the least common multiple of w and 32.
672
Suppose 172 = -35*h + 37*h. Calculate the common denominator of 123/40 and (h/(-144))/((-32)/96).
120
Suppose 0 = 2*o - 11435 + 3929. Let p = 34651/6080 - -1/1216. What is the common denominator of o/(-312) + (-8)/(-52) and p?
40
Let h(x) = -x**3 - 3*x**2 - x - 4. Let t be h(-4). Let s be (-50)/(-3 - -8)*t. What is the common denominator of ((-24)/55)/(48/s) and 139/6?
66
Let c(k) = k**2 + 29*k - 117. Let m = 14 - -16. What is the smallest common multiple of m and c(-33)?
30
What is the smallest common multiple of 216 and 5 + 206*(-17)/(-34)?
216
Let z be (-68)/(-16) + 12/16. Suppose -2*u + 19*q + 110 = 24*q, 306 = z*u - 3*q. Calculate the lowest common multiple of 60 and u.
60
Let l(v) = 2*v**3 - 72*v**2 + 2*v + 82. Let j = 454 + -418. Calculate the least common multiple of l(j) and 21.
462
Suppose 35*u - 24*u + 840 = 23*u. Calculate the lowest common multiple of u and 1326.
46410
Let p = 1548/28171 + 473530663/1971970. Let q = p - 1177/5. What is the common denominator of 27/38 and q?
266
Suppose 3*o = 0, s = -s - 3*o + 120. Suppose -56*b + 36*b = 41*b - 366. Calculate the least common multiple of s and b.
60
Let r = -254033/4 + 63500. Let z = -1695/8 + 14993/72. Calculate the common denominator of r and z.
36
Let n = -2689 - -1593. Let q be 209/n*(-413)/(-21). Let l = q + -57/274. What is the common denominator of 64/21 and l?
168
Let a(x) = x**2 + 7*x - 10*x**2 - 10*x + 11 - x**3 + 2*x. Calculate the lowest common multiple of a(-9) and 40.
40
Suppose -2*x = 5*z + 326, -x + 332 = -2*z - 3*z. Find the common denominator of (10/(-14))/(18/(-273)) and 269/33 - -3*(-4)/z.
6
Let x(v) = 1521*v + 7. Let j be x(5). Let b = 91243/12 - j. Let q = -6181/2532 - 30/211. What is the common denominator of q and b?
12
Let c = 881 + -887. Suppose 0 = -n - 2*n + 36. Calculate the common denominator of ((-18)/n)/(c/(-15)) and -25/8.
8
Let t be 2/(-7) - (-3)/(-3780)*-6801. Let a = t + -41/14. Find the common denominator of a and 29/132.
660
Let n = -6078 - -73061/12. Calculate th