 + 4*r + s = 5*f, 2*f - 3*r = 1045. Find the common denominator of f/(-18)*(-3)/(-8) and 97/12.
12
Calculate the common denominator of 86/(-8) - 1/(-2) and 41/20.
20
Calculate the least common multiple of (-4)/18 + 490/18 and 24.
216
Let n = 50 - 29. What is the lowest common multiple of 39 and n?
273
Suppose 2*r + 21 = 3*o - 0*r, 4*r + 15 = 3*o. Suppose 2*a - 8 = -5*f - 1, 3*a + f - 30 = 0. What is the least common multiple of o and a?
99
Suppose 51 = 9*d - 48. What is the least common multiple of d and 6?
66
Suppose 6 = 4*i + 2. Calculate the least common multiple of i and 7.
7
What is the common denominator of (-41)/(-8) + -7 + 6 and -13/2?
8
Let z = -4 + 7. Suppose 0*n = z*n - 6. Calculate the smallest common multiple of 10 and n.
10
Let i be (4972/7 - 0) + -1. Let f = 90161/126 - i. What is the common denominator of (-1)/(4/(-6))*(-49)/(-33) and f?
198
Suppose 11*u - 40 = 7*u. Suppose d = -3*d + 48. What is the least common multiple of d and u?
60
What is the common denominator of (-7)/5*(-130)/(-16) and (-18)/(-225)*(-870)/(-8)?
40
Let y = 126 - 70. What is the least common multiple of 16 and y?
112
Let w = 1/248 - -14501/1736. Find the common denominator of w and -53/52.
364
What is the common denominator of -21/4 and 2 + 232/(-44) + 3?
44
Suppose -2*d = 3*d + 25, -4*d = 2*m + 16. Calculate the smallest common multiple of 16 and m.
16
Suppose -30 = -47*o + 45*o. What is the least common multiple of o and 30?
30
Let n = 7946 - 63485/8. What is the common denominator of ((-1)/(-15))/((-20)/325) and n?
24
Let a = -4829847/10 + 21492034/45. Let m = a - -5389. What is the common denominator of m and -13/8?
72
Let w(z) = 2*z**2 + 7*z + 4. What is the least common multiple of 8 and w(-4)?
8
Let f be 226931/10086 + (-1)/4. Let c = 336010049/5043 - 66629. Let r = c + f. Find the common denominator of r and -17/4.
4
Let w(a) = 2*a**2 + 6*a + 2. Let u = 3 + -5. Let f be u/(2/3) - 1. What is the lowest common multiple of w(f) and 10?
10
Suppose -2*c + 4*c + 40 = 0. Suppose 5*u - 8 + 3 = 0. Calculate the lowest common multiple of 16 and u/4 + (-75)/c.
16
Suppose -r + 2*p + 22 = -6*r, 2*r = -2*p - 4. Calculate the smallest common multiple of 2 and 27/(r/8*-2).
18
Let b(f) = f**3 + 4*f**2 - 8*f - 6. Suppose -2*s + 0*n + 4*n = -32, -s = 5*n - 9. Let p be 4/s + 37/(-7). Calculate the smallest common multiple of 5 and b(p).
45
Let j = 52 - 45. What is the lowest common multiple of j and 8?
56
Let v(o) = 4*o - 7. Let z be v(-1). Let n = 42 - 22. Let y = z + n. Calculate the lowest common multiple of y and 9.
9
Let a = -819/10 + 83. Calculate the common denominator of a and ((-13)/2)/(15/(-50)).
30
What is the lowest common multiple of ((-3)/(-5))/(6/20) and 6?
6
Let y be (-4)/22 - (-435)/33. Let i = -29 + y. Find the common denominator of -7 + 5 + (-9)/i and 43/14.
112
Let y = -49/25 + -1283/200. What is the common denominator of y and -43/8?
8
Let s = 762 + -12187/16. Let g = -3006/7 + -3579/28. Let h = -15417/28 - g. What is the common denominator of h and s?
112
Let b = 3 - 2. Let g be 6/18*(4 - b). Suppose -3 = -2*o - g. What is the smallest common multiple of o and 8?
8
Suppose -y = 4*y - 25. Calculate the smallest common multiple of y and 49.
245
Calculate the common denominator of 372/(-80) - (-12)/4 and 109/6.
60
Let u = 15 - 9. Suppose 2*q = 8*q - 30. Suppose -q*f + 21 = -u*f. Find the common denominator of 35/9 and f.
9
Let d = 41197/12 + -3431. Find the common denominator of d and -7/40.
120
Let l(m) = m - 1. Let z(v) = -5*v + 2. Let t(w) = -4*l(w) - z(w). What is the least common multiple of t(2) and (-39)/(-4) - 1/(-4)?
20
Let z(g) = 7*g**2 - g + 4. Let p be z(5). Suppose 2*d + d + p = 0. What is the common denominator of 27/10 and ((-3)/(60/d))/1?
10
Suppose 5*n - 24 = 3*n. Calculate the least common multiple of n and 8.
24
Let r(v) = v**3 - 8*v**2 + 5*v + 1. Let o be r(8). Suppose 1 = -w + o. Calculate the least common multiple of w and 14.
280
Let r = -237/1820 + -20/91. Calculate the common denominator of r and 31/5.
20
Let t be (34/(-5))/(2/10). Let x = t - -48. Suppose -2*z + 2 = -x. Calculate the smallest common multiple of 7 and z.
56
Suppose 352 = 5*n + 137. Suppose 4*w - n = -3*d, -d - d + 22 = w. Calculate the least common multiple of 8 and d.
72
Let i = 142473/16 + -8909. What is the common denominator of 87/26 and i?
208
Let f = 14527/14 - 1046. What is the common denominator of f and 21/8?
56
Calculate the common denominator of 14/72 - (0/(-2))/(-3) and -83/30.
180
Find the common denominator of (-3)/(-9) - (-12)/(-2) and -149/6.
6
Let s(p) = p**2 - p - 1. Let d be s(3). Calculate the common denominator of 13/10 and (-94)/20 + (d - 4).
10
What is the common denominator of 38/107 and 2 - (122/(-8) - 4)?
428
Suppose -u + 5 + 1 = 5*i, -4*i + u = -12. Let a(r) = i + 7*r**2 - 4*r - 2*r + 2*r. Calculate the least common multiple of a(2) and 16.
176
Let b = -27155/11 - -2471. Calculate the common denominator of 79/2 and b.
22
Suppose -4*a = 4*i - 8, -2*i + 7*i = -4*a + 9. Let s(z) = 3*z - 5. Calculate the smallest common multiple of (a - 11)/((-5)/10) and s(7).
80
Let d = 146 - 457/3. Calculate the common denominator of -4/5 and d.
15
Let p be 3/(-12) - 2361/(-4). Calculate the common denominator of 1/5*p/4 and ((-1)/(-12))/((-2)/356).
6
Suppose o = -3*o. Suppose -k + o*k = 6. What is the smallest common multiple of 4 and (k/(-7))/(2/14)?
12
Let g = -5 - 36. Calculate the common denominator of g and 28/37.
37
Let r = 27 - 20. What is the least common multiple of r and 11?
77
Suppose 0 = d + 2 - 10. Let c(y) = y + 1. Calculate the lowest common multiple of d and c(1).
8
Let u = -81467/198 - -4584/11. Let b = -3435/652 + 3/163. Find the common denominator of u and b.
36
Let a = -49 - -229/5. What is the common denominator of a and ((-1)/(-6))/(1/7)?
30
Suppose -x - 3*k + 22 = 0, -k = 3*k - 4. Suppose -2*v - x = -103. What is the lowest common multiple of 5 and v/6 + -1*2?
5
Let u = 18 - 8. What is the lowest common multiple of u and -16*2/12*-3?
40
Let m = -33/5 - -134/15. Find the common denominator of m and -97/10.
30
Suppose -2*r - 66 = 4*b, 2*r + 26 = b + 3*b. Let n be 1/(-7)*-1009*r. Let d = 3308 + n. Find the common denominator of 73/6 and d.
42
Let v = -313237/68340 + 1/5695. Find the common denominator of v and 6/5.
60
Let v = 15 + -11. Suppose -v*h = -16, 3*h + 1 = -4*n + 21. Suppose 26 = 5*s + 5*z - 49, s - n*z = 24. What is the smallest common multiple of s and 4?
36
Suppose 0*l - 4*l = 80. Let y = -69967/10 + 7003. Calculate the common denominator of 235/l*2/(-3) and y.
30
Suppose 2*x - 3*c + 0*c = -2234, 2*x = -c - 2250. Let k = x + 9017/8. Let d = -273/8 + 1203/40. Calculate the common denominator of k and d.
40
Let s be (-2 - 1)*13048/(-12). Let c = s + -32669/10. What is the common denominator of c and 49/6?
30
Suppose 0 = c + 4*c - 10. Let f(a) = a**2 - 2*a - 5. What is the smallest common multiple of f(5) and c?
10
Suppose 0 = 3*a, a + 25 = 4*x + x. Let c(v) = -1 + 2*v + x*v - v. Calculate the smallest common multiple of c(1) and 3.
15
Let l(g) = -8*g - 3. Let r be l(4). What is the common denominator of 24/r + 4/14 and 9/5?
5
Suppose 3*y = -4*x + 38, -4*y + 2*x + 34 = -24. What is the smallest common multiple of y and 20?
140
Let n = -573/10 + -34/5. Let x = n - -65. Find the common denominator of (-1 + -24)/(1*-11) and x.
110
Find the common denominator of (-4)/(-10) - (-5)/(100/37) and -33/182.
364
Calculate the lowest common multiple of 4 + 4/(4/(-2)) and 11.
22
Let i be (-76)/(-18) + (-4)/18. Let c be (-2)/6 + (-80)/(-15). Suppose 2*f - 2*y + 6 = 0, 2*y + 3 = -c*f + i*y. Calculate the least common multiple of f and 1.
1
Let z be 1 - 1 - (3963 - -2). Let x = z - -39547/10. Calculate the common denominator of -77/2 and x.
10
Let s = -1257984 - -115736241/92. Let w = s - -75/46. Let f = -470 + 5617/12. Find the common denominator of w and f.
12
Let r = -1/56357 - -11778661/2705136. Let f = 43/24 - r. Find the common denominator of -25/18 and f.
144
Suppose 7 = r + 5. Calculate the smallest common multiple of (-8)/(-60) - (-118)/15 and r.
8
Let h(f) = 251*f**2 + 2*f - 1. Let v be h(1). Find the common denominator of -16 and (v/32)/(-3) - 4.
8
Let u(i) = 3*i - 2. Let v be u(2). Let k be 12/7 + v/14. Suppose -4*s + 