1)/(-2160).
240
Let a(x) = 27 - 4*x - 4*x + 4*x - 10. Let q be a(6). Let v(u) = u**2 + 7*u + 11. What is the lowest common multiple of v(q) and 16?
176
Let u = 12 + -6. Suppose 31*y - 33*y - 186 = 0. Let k = y - -105. What is the lowest common multiple of k and u?
12
Suppose -2*z = -5*z + 2*k + 7, -4*z = -k - 6. What is the common denominator of -39/76 and 2/7 + z + (-243)/140?
380
What is the lowest common multiple of 1/(2/270)*(-150)/(-125) and 20?
1620
Let f(d) = -10*d + 16. Let p(n) = n - 1. Let j(y) = -f(y) - 12*p(y). Let l be j(-7). What is the smallest common multiple of 5 and 3/(-6) + 115/l?
55
What is the common denominator of (-4)/(-30) + 18847/1410 and 33/278?
278
Let k be (-13710)/1725 - 4/(3 - 1). Let i = k - 38/23. Find the common denominator of i and -57/8.
40
Let n = -1520 - -1709. Calculate the lowest common multiple of n and 126.
378
Suppose -7*h + 81 = -122. Let i = 9 + 5. Let k = i - 3. Calculate the smallest common multiple of h and k.
319
Suppose -y - 2*y + l + 27 = 0, -5*y - 5*l + 25 = 0. Suppose 368 = 7*a + 4*b, 0 = a + 10*b - 7*b - 55. Calculate the lowest common multiple of a and y.
104
Let f = 38 - 22. Let u be 6692/(-8752) + 12/f. Let y = 22886/6017 - u. Find the common denominator of y and -113/6.
66
Calculate the smallest common multiple of 142 and 158/(-8)*-1 - 192/(-768).
1420
Suppose 0 = -4*m - m + 235. Find the common denominator of 117/10 and (m + -4)/(10/(-5)).
10
Let u = -239182 + 2382441/10. Let i = u - -937. Calculate the common denominator of i and -125/12.
60
Let y be 1128/36*2/16*-83. Let a = y - -321. Let n = -1/45 + -223/90. What is the common denominator of a and n?
12
Suppose -7*r + 20 = -9*r. Calculate the smallest common multiple of 12 and -2*r/(-5)*(-14)/4.
84
Suppose 0 = -9*z + 4*z - 20. What is the least common multiple of (1 - z/(-6))*33 and 10?
110
Let y = -9326 - -93169/10. Let t = 3/421 + -6381/9262. What is the common denominator of y and t?
110
Let n = -906/11 - -11668/143. Let i = 97/168 - -22/21. Find the common denominator of n and i.
104
What is the common denominator of -11/63 and 3730/(-3465) - 26/(-429)?
63
Let z = 21 + -14. Let o(b) = -b**2 - 11*b - 5. Let m be o(-10). Suppose -m = -5*r + 10. Calculate the smallest common multiple of z and r.
21
Let k be 0 - ((-32585)/(-32575) - 1). Let f = 215011/52120 + k. Find the common denominator of 95/6 and f.
24
Let q be ((-103323)/(-12))/11*(-1 + 5). Let k = -24949/8 + q. What is the common denominator of k and -29/16?
16
Suppose z = 87 + 1. Let k = -68 + z. What is the smallest common multiple of k and 18?
180
Suppose 4*m = 6 + 26. Let b(w) = 5*w - 3. Calculate the lowest common multiple of b(3) and m.
24
Let k = 36781 - 845589/23. Let n = -3835843229/328480572 - 2/1190147. Let v = k + n. Calculate the common denominator of v and -49/24.
24
Calculate the smallest common multiple of (36/21)/((-3)/(-14)) and 441.
3528
Let r(t) = -3 - 2*t + 0 - 13. Suppose -57*x - 20 = -55*x. Calculate the smallest common multiple of 12 and r(x).
12
Let j = -15 - -26. Let m = 1523 - 1522. Calculate the lowest common multiple of m and j.
11
Find the common denominator of 57/10 and ((-8)/(-640)*-2)/((-6)/(-585)).
80
Suppose 0 = -5*x + 15 + 35. Let i(c) = -6*c**3 + 2*c**2 + 15*c + 23. Calculate the least common multiple of x and i(-2).
490
Find the common denominator of -51/16 and ((-23)/(-42))/((-150)/45).
560
Suppose 4 = t + 10. Let f be 7 - (-1 - -1)/4. Let q = f + t. Calculate the smallest common multiple of 5 and q.
5
Let v be (1 - 606)/(12 - 4). Let z = v + 77. What is the common denominator of z and -1/5?
40
Let p(x) = -5187*x. Let r be p(1). Let j(f) = -f**3 + 6*f**2 + 2*f - 9. Let v be j(6). What is the common denominator of -101/22 and r/882 - 1/v?
154
Suppose -7*a + 560 = 9*a. Calculate the smallest common multiple of 63 and a.
315
Let m be (8 - 7) + 13 - (-8)/(-2). Find the common denominator of (28/m)/(24/50) and 29/27.
54
Let l(q) = q**2 - 19*q + 21. Let r be l(18). What is the smallest common multiple of 2 and ((-140)/3)/(-4) - (-1)/r?
12
What is the common denominator of 25/33 and 82/36 + -1 - 330/(-990)?
198
Let u = -4 - -7. What is the common denominator of u and 13/2600*5015 + -23?
40
Let h = 956 + -947. Suppose -8*v + 5 = -3*v. What is the least common multiple of v and h?
9
Suppose -5*g = -g + 3*v + 54, -5*g + 4*v = 52. Let t(l) = -l**2 - 8*l + 3. Calculate the lowest common multiple of 5 - 16/g*3 and t(-7).
90
Let c = 7/1787 + -141530/91137. Calculate the common denominator of -7/102 and c.
102
Suppose -3*k + 4*b = -5, -3*k - b = -10 - 0. Suppose 6 = i + k. Suppose i*d = x - 6, 13 = 4*x - d - 0. What is the lowest common multiple of 1 and x?
3
Suppose 38 = -4*v - 2. Let h = 12 + v. Suppose -8 - 4 = -h*t - 3*w, 6 = t + 4*w. Calculate the lowest common multiple of 11 and t.
66
Let v(l) be the second derivative of l**5/20 + l**4/3 - 5*l**3/6 + 2*l**2 + 481*l. Suppose -5*m = 18 + 7. What is the lowest common multiple of 14 and v(m)?
28
Let v = 110 + -19. Calculate the lowest common multiple of 91 and v.
91
Suppose 3*l + 60 = 8*l. Suppose 0 = l*q - 8*q - 8. Calculate the least common multiple of 6 and q.
6
Let i be (-2 + -13)*((-8)/6 - -1). Suppose -6 = -i*d + 4*d. Calculate the smallest common multiple of 9 and d.
18
Calculate the common denominator of 142*(1974/(-2646) - (-6)/8) and 101/105.
630
Let z = 41 - 21. Let a(i) = -i**2 + 8*i - 6. Let s be a(9). Let b = s - -23. Calculate the lowest common multiple of b and z.
40
Let p be 1*-3 - (-6 + 2). Calculate the common denominator of -2 + p + 236/(-24) and (249/(-45))/((-4)/6).
30
Let f be -36 + 1*0/4. Find the common denominator of (3/((-15)/(-142)))/8 and (-9)/(-6) - 64/f.
180
Let n = -1129/210 + 131/15. Find the common denominator of (18/(-40))/(8/224) and n.
70
Suppose -3*q - 5*o = -3*o - 11, -5*q - 5*o = -20. Let t = 280 - 272. Calculate the lowest common multiple of q and t.
24
Suppose -54 - 2182 = -43*y. What is the smallest common multiple of 40 and y?
520
Let h(t) = -2*t**3 - 2*t**2 + 2*t + 2. Let q = 0 + 0. Suppose q = 3*z - 2*a + a - 14, 5*z + 2*a = 5. Calculate the least common multiple of z and h(-2).
6
Let h = -6853 - -82177/12. Calculate the common denominator of (-1365)/10*2/24 and h.
24
Let t = -18446 - -1401869/76. Calculate the common denominator of t and -23/18.
684
Let h(v) = 16*v + 196. Calculate the least common multiple of h(-12) and 72.
72
Let w = -9375/4 - -2341. Calculate the common denominator of w and 4/6*30/24.
12
Suppose -7*c + 2*c + 4*i = 360, 72 = -c + 2*i. What is the common denominator of ((-12)/c)/((-1)/(-56)) and 23/8?
24
Let b(m) = -m**2 - 24*m - 58. What is the lowest common multiple of (13/(-5) + 3)*150 and b(-20)?
660
Suppose 3*v + v - 40 = 0. Suppose 12*g - 84 - 36 = 0. Calculate the lowest common multiple of g and v.
10
Suppose w - 4*z - z = -10, 8 = -2*z. Let l be 4/(-6)*(-21)/(-14). Find the common denominator of (w/(-11) + -3)*l and -5/6.
66
Let k = -223393/156 + 1432. Calculate the common denominator of k and 44/195.
780
Calculate the least common multiple of 75/6*(-5 - (-148)/20) and 95.
570
Let s(u) = u**3 + u**2 + u + 35. Suppose 8*a = 3*a + 6*a. Calculate the least common multiple of s(a) and 5.
35
Let u = -1258/147 - -4756939/555807. Let b = 200459/83182 - u. Calculate the common denominator of (44/38)/(12/27) and b.
418
Let w(u) = -u - 8. Let i be w(0). Let g = i - -28. What is the least common multiple of 2 and g?
20
Suppose -d - 2 = 3*n + 2, -4 = 2*n. Let c(s) = s**3 + s**2 - 3*s + 3. What is the least common multiple of c(d) and 30?
90
Let d = 477261/4070 - 6518/55. Let h be 35/(-37) - (5 + (2 - 8)). Let g = h - d. Find the common denominator of -9/7 and g.
70
Let f(s) = 3*s**2 - 3*s + 2. Let y = 24 - 21. Calculate the lowest common multiple of 8 and f(y).
40
Let s(p) = 105*p + 1. Let x be 4/14 + (-45)/35. Let h be s(x). What is the common denominator of (h/195)/(4/(-170)) and 10/7?
21
Let z = 2670/11 - 33151/132. Calculate the common denominator of 149/18 and z.
36
Let g be ((-10)/25)/((-1)/60). Suppose -2*r + y = 6099, 0 = 4*r - 3*y - 1115 + 13308. Calculate the common denominator of (-3)/21*r/g and -15/8.
24
Let j = 22 - -7. Let k be (j/(-4))/(253/(-83214)). Let p = k - 2389. What is the common denominator of 59/12 and p?
132
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