0
Let x(s) = s**3 + 11*s**2 + 21*s + 13. Suppose -6*f - 99 = 5*f. Let p be x(f). What is the common denominator of -5/8 and 1*123/p*40/120?
56
Suppose -4*z + 9*z = 140. Suppose z + 10 = -2*q. Let n(c) = -c**2 - 21*c - 26. Calculate the lowest common multiple of n(q) and 18.
36
Let t = -317791/29912 + -3/3739. Find the common denominator of 10697/(-912) + -41 + 55 and t.
48
Let d be 3 + -3 + (3 + -7 - -1). Calculate the common denominator of (d - (1 - 6))/((-96)/255) and -101/28.
112
Let w(r) = -r**3 - 11*r**2 - 32*r + 11. Let c be w(-7). Suppose -48 = 35*j - c*j. What is the least common multiple of ((-6)/4)/((-3)/64) and j?
96
Suppose -6*a = 9 - 3. Let c = 3257591/671660 + -2/33583. What is the common denominator of a - -5 - 6/(72/193) and c?
60
Let d = -671 + 675. Suppose d*u + b + 4*b = -11, -2*b = 6. What is the lowest common multiple of u and 7?
7
Let z be 2/(-17) + (-32424)/(-476). Find the common denominator of 3 + (-9 - -6 - z/54) and 139/18.
54
Calculate the smallest common multiple of (-19413)/(-63) - 28/196 and 308.
308
Let f = -217 + 217. Suppose 3*h = -3*a + 63, -4*h + f*a + 5*a = -120. Calculate the lowest common multiple of h and 90.
450
What is the common denominator of 1/42 and (((-630)/57)/14)/(2/(-1))?
798
Calculate the lowest common multiple of (-5 - -1)*(969/38 + -29) and 446.
3122
Let m(x) = -9*x + 5. Let p be m(0). Let b be (9/(-8))/(p/(-3820)). Let u = 17249/20 - b. Calculate the common denominator of u and -67/2.
20
Let c = 95466480009199402209/2351150 + -40604163923699. Let f = 1/47023 - c. Calculate the common denominator of f and 59/50.
50
Let y(t) = 9*t - 71. Let g be y(9). Suppose g*h + 28 = 17*h. Calculate the least common multiple of h and 3.
12
What is the common denominator of (-424)/(-20)*(-58)/928 and -43/440?
440
Let r = 265561/9 - 29511. Calculate the common denominator of r and 26/2547.
2547
Let y(o) = o**2 - o - 3. Let t be y(-2). What is the smallest common multiple of 36 and (t*-1)/((-30)/120)?
36
Let q be (-2)/((-8)/(-2244)*-3). Suppose -9*d + 245 + q = 0. Suppose g = d - 8. Calculate the lowest common multiple of 8 and g.
40
Let p = -6583 - -6601. What is the least common multiple of 741 and p?
4446
Let z(a) = 9*a - 30. Let q be z(0). What is the common denominator of -73/56 and (q/9)/(16/39)?
56
Let i(n) = 6*n - 3. Let z be i(3). Suppose -5*f + 88 = -k + 7, -3*f - 97 = 2*k. Let p = z + k. Calculate the common denominator of 85/14 and p.
14
What is the least common multiple of 350 and ((-60865)/518)/(1/(-14))?
16450
Let j be 11 - ((-11 - -5) + 5). Let v be 17/5 + -3 + j/(-5). Calculate the least common multiple of ((-4)/(-3))/2*(-9)/v and 9.
9
Suppose 2*w = 2*c, 3*w = -4*c + 8*c - 3. Suppose 2*y - s - 4 = -6*s, -3*y + 6 = s. What is the least common multiple of c and y?
6
Let d(a) = 3*a - 3. Let g be d(-5). Let p = -9541/198 + 421/9. What is the common denominator of p and (-71)/g + 6/(-9)?
198
Let y(z) = 57*z - 392. Let m be y(7). Find the common denominator of 10 - (m - 2) - 295/66 and 51/55.
330
Let t = 19603/14 + -1402. Let r = 197/15 - 5677/390. Find the common denominator of r and t.
182
Suppose f - 3*f + 3*j + 2831 = 0, 0 = -5*j + 15. Suppose -17*v + f = -21*v. What is the common denominator of 99/20 and v/5*(-2)/(-20)?
20
Let p = -230 + 232. Suppose -p*a + 138 = -7*s + 2*s, 4*a - 5*s - 266 = 0. Calculate the smallest common multiple of 72 and a.
576
Suppose m = 3*m - 24. Suppose -3*q + 30 = 3*x, 4*q = 3*x + 92 - 52. Calculate the least common multiple of q and m.
60
Let t = 2 + 0. Find the common denominator of t/15*(-24)/(-2) and 194/4 + (-109)/((-5777)/(-742)).
10
Let t(d) = d**3 + 17*d**2 - d - 8. Suppose 0 = -2*o + 61 + 131. Calculate the smallest common multiple of o and t(-17).
288
Let u(d) = -d**3 - 4*d**2 - 4. Let g be u(-4). Suppose r + 50 = 4*n, 2*n + 4*r = n + 21. What is the common denominator of n and (-812)/510 - g/20?
51
What is the common denominator of (-46)/(-69) + (-4633)/6900 and 89/2?
2300
Let c(z) = z**3 + 26*z**2 - 36*z - 89. Let w be c(-27). Suppose 170 = 27*r - w. What is the least common multiple of r and 2?
12
Let c = -2867 - -2889. What is the lowest common multiple of 6122 and c?
67342
Calculate the common denominator of (-52877)/(-11960) - 12/(-78) - (-3)/10 and -43/2192.
2192
Let q = -11640683/204 - -57062. What is the common denominator of 113/2448 and q?
2448
Let k = -994083/28 - -35502. What is the common denominator of k and 1 - (0 - (-154)/152)?
532
Let c(l) be the second derivative of 6*l**5/5 + l**4/6 - l**3/6 + 44*l - 2. What is the lowest common multiple of c(1) and 40?
200
Let s be (-8)/84 + 8/84. Calculate the common denominator of 620/48 + -9 + (1 - s) and 145/12.
12
Let v(z) = 2*z**2 + 118*z - 111. Suppose 0 = -4*o + 98 + 2. Suppose -4*b = -8*b + t + o, 4*b + t = 31. What is the lowest common multiple of b and v(-60)?
63
Calculate the common denominator of 53/25 and 6/((-82200)/(-3695)) - ((-54)/(-24))/9.
6850
Find the common denominator of (-22 + (-24447)/(-1160))/(6/8) and 41/2025.
4050
Let k(l) = -164 + 0*l - 3*l + 2*l + 10*l + 2*l. Calculate the smallest common multiple of 21*(-2 - (-10)/3) and k(16).
84
Let t(w) = 70*w + 25. Let z(g) = -35*g - 12. Let n(k) = -4*t(k) - 9*z(k). Let j be n(-3). Calculate the common denominator of (j*1)/(28/2) and 29/20.
140
Suppose -1476 = 16*f - 50*f + 632. Suppose 5*m - 35 = -0*m. Calculate the smallest common multiple of f and m.
434
Let c(u) = -u**2 + u - 21. Let j be c(11). Let t = -59 - j. What is the smallest common multiple of t and 96?
288
Let y(k) = 3*k**2 + 55*k - 4418. What is the lowest common multiple of y(-49) and 4/14 + (-103)/(-7)?
90
Suppose -18671 = -61*j + 4387. Calculate the least common multiple of 1188 and j.
8316
Let d(l) = -4*l - 23. Let f be d(-3). Let y(q) = -9*q - 93. Calculate the smallest common multiple of y(f) and 10.
30
Suppose -3*j = -21*j + 4014. Let l = j - 205. Suppose -i + 2*f - f = -11, -i = f - 1. Calculate the lowest common multiple of l and i.
18
Calculate the common denominator of (246/(-12) + 2)/(6/((-24)/(-44))) and (-89)/(-18)*1/9.
1782
Let i be (22 - 7) + -8 + -7. Suppose x - 60 + 48 = i. What is the smallest common multiple of x and 260?
780
Let r be ((-92)/(-6))/(6/(-18)). Let m = r + 18. Find the common denominator of 8/m*(-9)/(-4) and 13/24.
168
What is the common denominator of 4/11 and (18/(-752))/(108/3312)?
1034
Suppose -10 + 365 = 5*q. Suppose -5*d + 14 = -q. Calculate the least common multiple of d and ((-12)/8)/(1/(-2)).
51
Let n be (-1874639038)/(-2541) - (-6)/18. Let w = 5164305/7 - n. Let q = -8/121 + w. Find the common denominator of q and 73/9.
63
Let h be ((-1)/(5/(-4)))/(4/(-40)). Let o(d) = 47*d**2 - 11*d + 6. Let q be o(h). Let j = 24737/8 - q. What is the common denominator of 5/31 and j?
248
Suppose 0 = 75*g + 20*g - 76127 - 52123. Calculate the lowest common multiple of g and 14.
9450
Suppose -1130 = -83*n - 720 + 752. Suppose 2*b = -4, -5*r - 8*b = -3*b - 90. Calculate the lowest common multiple of n and 108/r + (-4)/10.
70
Let y = -2169/5 + 60257/140. What is the common denominator of -23 and y?
28
Let x = -8308 + 17199/2. Let r = 1479/5 - x. Let m = 154483/34980 - -1/2915. Calculate the common denominator of m and r.
60
Let m = -257 + 259. Suppose -m*v + 3*h = -16, 3*v = -v - 3*h - 4. Calculate the smallest common multiple of v and ((-4)/5)/(2/(-5)).
2
Let m = -35096 - -1123173/32. What is the common denominator of 143/48 and m?
96
Suppose 0 = -16*n + 19*n + 39. Find the common denominator of ((1794/(-48))/n)/((-18)/8) and -11/6.
18
Let u(a) = a + 36. Let o(h) = 4*h + 144. Let z(k) = -2*o(k) + 9*u(k). Let d = -36 + 39. Calculate the least common multiple of z(-15) and d.
21
Let h(f) = -3 + 10 + 19 - 2*f. Let t be h(12). Suppose -3*d + 36 = -d + k, -5*d = t*k - 90. Calculate the smallest common multiple of d and 3.
18
Suppose -s - 4*s = -25. Let t be (-8)/(-3)*(-2 + s). Calculate the common denominator of (70/t)/((-54)/24) and 63/10.
90
Suppose -5*n - 110 = -2*j, 216*n - 12 = 218*n. What is the smallest common multiple of j and 198?
3960
Suppose -24*c = -29*c - 5*p - 680, 2*c + 3*p + 271 = 0. Let r = 323 + c. Calculate the lowest common multiple of r and 16.
1488
Suppose 0 = 4*m - 4*t + 128, 2*t = 2*m - t + 59. Let y = m - -67. What is th