*j + 3*d, -5*j + 116 = 3*d. Let v = j - 0. What is the smallest common multiple of 8 and v?
88
Suppose 0 = 4*g - 312 + 100. Let i = 54 - g. Suppose -3*h + 2*z + i = -4, -2*z = 3*h - 25. Calculate the smallest common multiple of h and 16.
80
Suppose -3*j + 0*j + 84 = -2*j. Calculate the lowest common multiple of j and 582.
8148
Suppose 7*k + 5*o - 59 = 3*k, 3*k - 18 = 5*o. What is the lowest common multiple of 3 - (24/20 - 3/15) and k?
22
Find the common denominator of (2738/(-370))/((-225)/1) and 66/1625.
14625
Suppose -2*z - 6 = -10, -228 = -2*s - 2*z. What is the smallest common multiple of s and 28?
112
Suppose 0 = 5*g - 2*a - 252, -2*g + 226*a + 126 = 221*a. Calculate the lowest common multiple of 288 and g.
288
Let o = 10609/80 + -669/5. Find the common denominator of (4 + -70)*1/80 and o.
80
Let j(f) = -f**2 - f - 6. Let v be j(0). Let g be (v/(-3))/((-4)/(-68)). Let r = g - 31. Calculate the smallest common multiple of r and 8.
24
Let y(w) = w**3 - 12*w**2 - 14*w - 32. Let m be y(13). Calculate the least common multiple of 1 and 1/(m/(-2304)) + (-2)/10.
51
Let l(z) = -z**2 + 26*z - 21. Let c be l(25). Suppose 0 = -w - w + 4*h - 8, 4*h - 20 = -c*w. Calculate the smallest common multiple of 78 and w.
78
Let w(z) = -z - 2. Let y be w(-4). Let s = 57 - 52. Suppose 2*m + 4*q = 48, -y*q = s*m + 2*q - 90. What is the least common multiple of m and 3?
42
Suppose 5*g - 34 = -2*j, -4*j - 5 = -3*g - 99. Suppose 3*q - 2 = j. Calculate the common denominator of -10/27 and 632/64*q/18.
54
Find the common denominator of 20/4109 and (-9)/(165/(-20) - -9)*(-6)/(-105).
20545
Let q = 102674413/356 + -288411. What is the common denominator of q and 13/89?
356
Let s be ((-4)/((-16)/(-6780)))/(-4). Let p = 447 - s. Find the common denominator of 35/43 and p.
172
Let m(w) = w. Let h(b) = -b**3 + 10*b**2 + 110*b - 516. What is the smallest common multiple of h(4) and m(5)?
20
Suppose 6*b - 215 = b. Let r(x) = 5*x - 25. Let q be r(12). Suppose -2*u = 29 - q. What is the lowest common multiple of b and u?
129
Suppose 2 = 5*v + 7. Let i = 721/30 - 106/3. Calculate the common denominator of i and (-6)/(-12) + (-1)/v.
10
Let n = -27737/720 - -569/15. Calculate the common denominator of n and 143/144.
144
Suppose 2*k + 2*k - 2*a = -116, -32 = k - 2*a. Let t = k + 35. Suppose 0 = -2*w, 5*v + t*w - 2*w = 80. Calculate the lowest common multiple of v and 6.
48
Let b(t) = -444*t - 1. Calculate the lowest common multiple of 1547/357 - (-3)/(-9) and b(-2).
3548
Let h = 43 - 43. Suppose -3*r - 3*f = 0, h = -r + 3*f - 6*f + 2. Calculate the common denominator of r/((-776)/164 - -4) and -56/9.
90
Let r(n) = 9*n - 9. Suppose -h - 7 = -5*k + 1, 3*k - 14 = -4*h. Let b be r(h). Suppose b*q + 90 = 12*q. What is the least common multiple of 21 and q?
210
Calculate the lowest common multiple of (-13200)/(-363) - 16/44 and 1708.
15372
Let a(r) = -r**2 + 6*r + 10. What is the smallest common multiple of -9*1/18*12*(-44)/6 and a(7)?
132
Let s be (-3)/4*(-88)/33*6. Calculate the common denominator of -28/3 and ((-5)/s)/(9/44).
27
Let c(b) = -b**2 + 600*b - 4720. Let h be 1/(-3) - 22/(-3). Suppose 5*m = h*m - 24. What is the smallest common multiple of c(8) and m?
48
Let f = -17478 + 5018. Let y = f - -311451/25. Calculate the common denominator of y and 83/2.
50
Let b = 36/175 + -2923/3150. Suppose -2*u = 2*u + 48. What is the common denominator of u and b?
18
Let p(d) = -3*d**2 + 10*d + 1. What is the least common multiple of p(2) and 49?
441
Let i be ((-2)/6)/((-1)/12). Let u = i - 2. Suppose 5*d = -u*f + 1, -2*f = -d - d - 8. Calculate the smallest common multiple of 9 and f.
9
Let o be (4/6)/(2/162). Calculate the common denominator of (-45 + 2)*(-2)/o and (129*7/(-147))/((-96)/28).
216
Let u = -19941 + 22333. What is the smallest common multiple of 1196 and u?
2392
Let v be (-1 + -5 - -4) + 194. Let o = -182 + v. What is the least common multiple of o and 10?
10
Let f = 13459/2730 - 134/105. Let q = f + 20/39. Let l = 4007 - 44034/11. Find the common denominator of l and q.
66
Suppose 2*h - 6 = 3*h. Let z(c) = 2*c**3 + 13*c**2 + 2*c + 8. Let m be z(h). Let x = m + -23. What is the lowest common multiple of x and 18?
18
Suppose -6*f + 6*n - 2902 = -10*f, 0 = 5*f + 5*n - 3645. What is the least common multiple of f and 4784?
9568
Let b = 4519 - 94876/21. Let f = 1377535/58 - 3139409/696. Let t = f - 19236. Find the common denominator of t and b.
168
Let a = 7717 + -354989/46. What is the common denominator of a and -109/48?
1104
Let m = 1 + 3. Suppose 7*p + 48 = 10*p. Suppose -p = -b - m. What is the least common multiple of 24 and b?
24
Let z = -135671 + 11396209/84. What is the common denominator of z and (-4 + (-20)/(-6))/(16/258)?
84
Let a = -5955 + 77409/13. What is the common denominator of -27/185 and a?
2405
Suppose -8*g + 74 = -6*g. Let a be (-3)/2 + (-153)/(-2). Let w = a - g. What is the least common multiple of w and 7?
266
Let x(r) = -2*r**2 - 2*r - 81. Let z be x(28). What is the common denominator of 71/40 and ((-2)/10)/(372/z)?
120
Let g = 3 - 3. Let i = 3 - g. Suppose 0 = 3*f - 4*f - 5, p = 5*f + 29. What is the lowest common multiple of p and i?
12
Let y = -850 + 886. What is the lowest common multiple of 4 and 260/1*(y + -35)?
260
Let a = 1916243/83922 + -4/13987. Calculate the common denominator of (-73)/10 + 0 + -2 and a.
30
Let g = -60759456419/10130 - -5997972. What is the common denominator of 41/7 and g?
70910
Let n(u) be the second derivative of u**5/20 - u**4/12 - 7*u**3/6 + 11*u**2/2 + 24*u. What is the smallest common multiple of 20 and n(5)?
380
Suppose 1594 = 23*t - 20*t + 5*h, 5*t + 2*h = 2644. Calculate the smallest common multiple of t and 24.
528
Let c = -3102 - -4699. Let j = c - 28595/18. What is the common denominator of 411/(-36) - (2 + -1) and j?
36
Suppose 503 = -3*n + 1595. Calculate the common denominator of (-734)/n + -4*4/(-56) and ((-4)/18)/((-8)/534).
78
Suppose -11*u + 1632 = 6*u. What is the smallest common multiple of u and 3704/44 + 14/(-77)?
672
Let m = -132187339/543 - -243439. Find the common denominator of m and 61/2172.
2172
Let y = -8542/3 - -2830. Calculate the common denominator of -37/377 and y.
1131
Let z = -3/238199 - -14062354/683869329. Calculate the common denominator of 22/1827 and z.
20097
Let n = -536873/308910 - 1/7355. Find the common denominator of n and 67/12.
84
Let q be ((-2)/4)/((-3)/6). Let y(z) = -190*z**2 + 96*z**2 + 93*z**2 + 4*z**3. What is the smallest common multiple of y(q) and 3?
3
Calculate the lowest common multiple of 2 and (-120 + -154)/((-2)/116*2).
7946
Let v = -416 + 431. Find the common denominator of 31/v - 66/88 and 113/12.
60
Calculate the lowest common multiple of 18 and (-256)/896 + (-275)/(-7).
234
Suppose -3*u + 20 = -4*u + 4*s, 2*u - s + 68 = 0. Let n = 217/4 + u. Find the common denominator of 37/64 and n.
64
Suppose -3*l + 6*h + 995 = 5*h, -4*l + 1330 = 2*h. What is the common denominator of 131/12 and (-1)/18*l/8?
36
Let h be ((-123)/102*107)/(-176). Let s = -3/544 - h. Calculate the common denominator of 89/136 and s.
1496
Let n(o) = -2*o**3 + o - 4. Let a = -259 + 257. What is the least common multiple of n(a) and 20?
20
Let h = -1411797594 + 15545714874/11. Let r = -1448094 + h. Let t = r - 1117. Calculate the common denominator of t and -35/12.
132
Suppose -3*b + 7*b - 194 = -3*m, -128 = -2*m - 2*b. Let y = -515/8 + m. Calculate the common denominator of 29/295 and y.
2360
Suppose 3*k - 12 = 0, k = -2*f + 3*f + 8. What is the common denominator of 111/80 and f/(-120)*535/(-15)?
720
Suppose 57*h = -183*h + 3360. Let k = 0 + 3. Suppose -k*g - 8 = -4*g. Calculate the least common multiple of g and h.
56
Suppose -2*r + 22 = 7*j - 3*j, 2*j = 4*r - 14. Suppose -j + 13 = 5*b. What is the smallest common multiple of b and 7?
14
Let c = 1936459/81 + -23906. What is the common denominator of 22/2025 and c?
2025
Suppose -6*y + 24 = -4*y. Find the common denominator of 13/y*77/(-14)*4 and 95/154.
462
Let l = 344289/1489714 + 66/3743. Find the common denominator of l and 9/10.
1990
Let t(p) = p**3 - 27*p**2 + 111*p - 14. Let l(v) = -v**3 - 8*v**2 - 9*v + 2. Let w be l(-7). Let u = w + -15. What is the lowest common multiple of t(22) and u?
8
Let v = -9842725/156 + 63094. What is the co