Let x = 5669 - 34105/6. Let p = -22282 - -8770. Calculate the common denominator of p/672 - 2/14 and x.
12
Let g be (-1)/(-1 - 18/(-15)). Let p(d) = -d + 1. Let b be p(-8). Let n = g + b. What is the smallest common multiple of n and 2?
4
Let z(b) = 8*b**2 + 19*b + 13. Let p(r) = 4*r**2 + 9*r + 6. Let y(h) = -5*p(h) + 2*z(h). Let u be y(-4). What is the common denominator of -61/8 and 6/u*165/44?
16
Let i be ((-2)/(-33))/(8/(-14026)). Let h = 1379069/11 - 125455. Let l = i - h. What is the common denominator of -76/9 and l?
18
Let d = -4886 - -53710/11. Let u = -877/116 - -9/29. Calculate the common denominator of u and d.
44
Suppose 5*f - 93 = 177. Let w = f + -561/10. What is the common denominator of 123/20 and w?
20
Let g be 117/3 + -1*1. Let f be 2/(6/(-4)*8/108). Let q = f + g. What is the smallest common multiple of 6 and q?
60
Let t(l) = l**2 - 13*l + 44. What is the smallest common multiple of t(5) and 136?
136
Let y be 14/4 - 1/(-2). Suppose -y*m + 6*i = 3*i - 69, -5*i = 2*m - 41. What is the lowest common multiple of m and -3 + 0/2 + -1 + 12?
72
Let m = -735/8 + 1945/24. Calculate the common denominator of -43/15 and m.
30
Let v(x) = -2*x**2 - 14*x + 3. Let i be v(-7). Suppose -y = i*y - 72. Calculate the least common multiple of 24 and y.
72
Let z = 3802 + -3782. Let x(p) = p**2 - 3*p + 5. Let j be x(4). Suppose -5*c + j = -91. Calculate the smallest common multiple of z and c.
20
Let r(t) = -2*t - 16. Let k be r(-10). Suppose 5*o - 38 = 3*w, -k*o + 31 + 17 = 2*w. What is the least common multiple of o and 22?
110
Let b be (1/570)/((-36)/(-55740990)). Let c = b - 24460/9. Calculate the common denominator of c and 79/14.
532
Let r = 118 - 72. Let h = r + -38. What is the smallest common multiple of h and 4?
8
Let d = 836437271/1748 - 478511. Find the common denominator of -57/2 and d.
1748
Let z = -71/46 - -785/69. Let d be 29/780*-214 - -1. Let m = -57/65 + d. Calculate the common denominator of z and m.
6
Suppose -5*l + a + 4*a - 20 = 0, -5*a = -3*l - 16. Find the common denominator of 15/11 and (28/18)/(5/(-50)*l).
99
Let g = -71 + 77. Calculate the common denominator of (g/(-7) + 1)/((-2)/19) and 452/72 + 2/(-6).
126
Let k = -157/84 - -30/7. Find the common denominator of k and 23/18.
36
Let d = -93047/144 + 5762/9. Calculate the common denominator of d and 7/40.
80
Let y = 25 - 20. Suppose 4*v - 4 = -k + 3*v, -2*k + 8 = y*v. Calculate the lowest common multiple of k and 10.
20
Let s = 37/8 - -255/8. Let w = -1/65 - -60/13. Calculate the common denominator of s and w.
10
Let j(z) = 70*z + 496. What is the smallest common multiple of 3 and j(11)?
1266
Find the common denominator of (-6)/3*(-24)/(-10) and 1*36/90*(-35)/(-2).
5
Let d be (-48884)/5841 - (-4)/18. Let z = d + 10040231/1770. Let x = 5676 - z. What is the common denominator of x and -53/5?
10
Let u = 201 - 492. Calculate the common denominator of 67/16 and (u/165)/((-4)/(-10)).
176
Suppose 0*q - 214 = -3*r - q, 0 = 2*q + 4. Let o = r + -58. Calculate the smallest common multiple of 20 and o.
140
Suppose 0 = -5*s, -5*v - s + 400 = -0*s. Calculate the common denominator of (-2)/(-4) - (-1)/(20/132) and (6/5)/(v/125).
40
Let u = 501848/33 - 15210. Find the common denominator of u and -29/21.
231
Suppose -3*b + 2*b + 12 = 0. Let r(o) = o**2 - 8*o - 17. Let z be r(b). Let t = -29 + z. What is the least common multiple of t and 9?
18
What is the common denominator of ((935/25)/(-11))/((-3)/(-9)) and 39/119?
595
Calculate the common denominator of (-7)/(-42) + 258/216 and 47/66.
396
Let n be ((20 - 0)/4)/(-1). Let p be ((-12)/(-5))/((-1)/n). Calculate the common denominator of 2/p*(-1 + 140) and 33/32.
96
Let s be (-5)/(-3)*(7 + -4). Suppose s*n - 110 = 5*v, -v + 4*n - 23 = 2. What is the smallest common multiple of 6 and 12/(-5)*70/v?
24
Let f = 6 + -13. What is the common denominator of 55/6 and (5/(-16))/(f/(-98))?
24
Suppose 5*j - 13 = 2. Suppose j*m + 2*m = 3*y - 37, -5*y + 25 = -m. Let u(c) = -c + 9. What is the least common multiple of u(6) and y?
12
Let w = -13 + 14. Suppose -o + 1 = -w. Suppose -3*b - 2*h + 22 = 0, -o*b - 4 = -b - 5*h. Calculate the smallest common multiple of 5 and b.
30
Let t = -3 + 4. Let y = 1639/6 + -1105/4. What is the common denominator of y and (t/(-40))/((-20)/(-4150))?
48
Let a be 1 + 1 - 1 - -7. Suppose -3*j = j + a. Calculate the lowest common multiple of 3/j*(8 - 12) and 3.
6
Let s be (0 - 1)/((-6)/162). Suppose -s*n + 2 = -25*n. Calculate the lowest common multiple of 43 and n.
43
Let n = 150 + -120. What is the least common multiple of n and 7?
210
Suppose -5*d + 338 + 92 = -5*m, 3*m - 4*d = -254. Let n = -814/9 - m. What is the common denominator of n and -53/9?
9
Let w = -5419/5 + 1089. Calculate the common denominator of w and -17/10.
10
Let x = 3094 - 297109/96. Calculate the common denominator of -59/12 and x.
96
Suppose 2*a - 13 = 4*c - 55, 5*c - 20 = -4*a. What is the lowest common multiple of 96 and c?
96
Let m = 8543/8700 - 189/100. Find the common denominator of m and -69/4.
348
Let o(n) = 2*n + 1. Let m be o(2). Let i(a) = a**2 - 4*a - 1. Calculate the least common multiple of 10 and i(m).
20
Suppose -b + 3*l = -16, 2*b - 4*l = 4*b - 12. Suppose -58 - 22 = -b*n. What is the smallest common multiple of 8 and n?
8
Suppose 588 = 28*a - 16*a. What is the least common multiple of 7 and a?
49
Let p = 10 + 6. What is the least common multiple of 16 and p?
16
Let f = 6407 + -192193/30. Let o = 1092812/33 - 33118. Calculate the common denominator of f and o.
330
Let i be 726/(-10) - 2/5. Let l be (-124)/(-20) + (-1)/5. Calculate the common denominator of (1/l)/((-3)/i) and 49/22.
198
Let g(r) = 57*r**3 - 2*r**2 + r. Let f be g(1). Let p be -10*(-1 + 2 - -3). Let j = f + p. Calculate the smallest common multiple of j and 4.
16
Let s = 1 + 5. Suppose -2*b - p + 5*p + 28 = 0, 65 = 4*b + p. Calculate the smallest common multiple of b and s.
48
Let w = -6677/12 - -556. What is the common denominator of -31/60 and w?
60
Let p = -18/1103 - -82000/23163. Calculate the common denominator of 67/396 and p.
2772
Let f = -2049301/4 - -516016. Let o = f - 3666. What is the common denominator of 19/10 and o?
20
Let i be (-36)/(-15) + (-4)/10. Suppose 3*f - 1007 = -3*c + 754, -i*f = -4*c + 2366. Calculate the common denominator of -151/6 and (c/50)/((-16)/10).
24
Let q be 1 - (18/(-12) - (-15)/(-2)). Calculate the smallest common multiple of 12 and 195/q + (0 - (-6)/4).
84
Let y be (-318)/(-27) + (-4)/(-18). Suppose 3*w = -9 + y. What is the least common multiple of w and 17?
17
Let a(o) = -4*o**3 + 7*o**2 - 1. Let i be a(7). What is the common denominator of -1/14 and 42/189 - i/468?
182
Let o(n) = -n**2 + 9*n + 13. Let r be o(10). Suppose 5*h - 2*k - 39 = 17, -r*k = -6. What is the least common multiple of h and 21?
84
Suppose -p + 0 = -36. Let l(z) = z**3 + 6*z**2 - 5*z - 8. Calculate the lowest common multiple of p and l(-6).
396
Suppose f - 126 = 4*t, -2*f + 0*f + 5*t + 243 = 0. Let p = -453/4 + f. Let k = -18137/10 + 1821. Calculate the common denominator of k and p.
20
Let a be 3/12 - (-45)/12. Calculate the common denominator of -51/4 and a/2*(-224)/24.
12
Find the common denominator of 1/6*(-5096)/140 and 143/30.
30
Let i = 217088 - 39944291/184. Calculate the common denominator of i and -51/8.
184
Suppose 0 = 3*h - 131 - 3433. Let o = 2177 + -8771/4. Calculate the common denominator of o and h/32*(-8)/(-6).
4
Let t(w) be the first derivative of w**2 + 38*w - 48. Calculate the lowest common multiple of 8 and t(-10).
72
Let y = -30 - -30. Suppose -2*i + 22 = k, -4*k = -3*i - y*k + 44. Calculate the smallest common multiple of 18 and i.
36
Suppose 3*s + 2*k - 29 = 17, -3*k = -s - 3. What is the smallest common multiple of s and 66?
132
Suppose 0 = -1067*k + 1075*k - 4600. What is the smallest common multiple of k and 8?
4600
Let q be (3 + -6 + 1)/1. Let a be (q - -4)/(2/(-5)). Find the common denominator of (-57)/((-5)/(a/16)) and -35/6.
48
Let x(j) = -19*j + 445. Calculate the smallest common multiple of x(20) and 75.
975
Suppose 3 = z + 1. Let u be z - 5 - (1 - 0). Let w(r) = -3*r - 10. Calculate the least common multiple of 11 and w(u).
22
Suppose 187*u = 181*u + 66. Calculate the smallest common multiple of 11 and u.
11
Let k = -29004