). Suppose -3 = -4*n + g. Calculate the least common multiple of -3 + (-3 - -20 - 0) and n.
14
Find the common denominator of 42 and 5 + -2 - 98/9.
9
Let n(x) = -2*x + 11. Let a be n(5). Let g = 21 + -10. Let f = g + a. What is the least common multiple of 10 and f?
60
Let r(p) = 0*p**2 + 0*p**2 - 2*p - 2 - 4*p**2 + p. Let b be r(-2). Let k = b - -26. What is the least common multiple of 10 and k?
10
Let o(g) = -49*g**3 + 2*g**2 + 2*g + 1. Let p be o(-1). Suppose 44 = -4*z - 5*s, -5*z - p = -0*s + 5*s. What is the common denominator of -62*3/z + 2 and 81/2?
2
Suppose 0 = -l - l + 5*s + 77, -s + 209 = 4*l. Suppose -3*o = -2*o - 2*m - 8, 0 = -3*m - 12. Calculate the common denominator of o + 2/(-10)*l and 28/11.
55
Let j(s) be the first derivative of 3*s**2 - 6*s + 8. What is the smallest common multiple of j(3) and 2?
12
What is the common denominator of 44 and (-8)/12 - 1167/(-90)?
10
Let g = 6 + -6. Suppose 4*f + 5*h - 54 = 0, 4*h = -g*h - 8. What is the lowest common multiple of 18 and f?
144
Let x = -2/991 + -68371/3964. Let v(h) = -728*h - 18. Let a be v(7). Let f = 45961/9 + a. Calculate the common denominator of f and x.
36
Let l(d) = -3*d + 4 - 24 + 2*d. Let x(i) = 2*i - 6. Let o be x(3). Calculate the common denominator of l(o) and 53/4.
4
Let g(c) be the first derivative of -c**3/3 - 3*c**2/2 + 4*c - 21. Let v(f) = -2*f + 9. Let p be v(6). Calculate the lowest common multiple of 20 and g(p).
20
Let b = 42 + -30. Suppose 4*g - 264 = g. What is the least common multiple of g/48 + 2/b and 6?
6
Let g = 209247/5 - 42027. Let z = g + 8287/45. Find the common denominator of z and -49/4.
36
Suppose 0 = -4*p - 5 + 13. Calculate the smallest common multiple of p and 14.
14
Let o = -164 - -200. What is the lowest common multiple of o and 45?
180
Let s(y) = -2*y + 46. What is the lowest common multiple of s(20) and 10?
30
Suppose -138*p = -142*p + 32. What is the lowest common multiple of p and 2?
8
Let s = 1 + 2. Suppose 2 = s*y - y. Let w(q) = 8*q**2 - 2*q + 1. What is the lowest common multiple of w(y) and 8?
56
Let z(o) = o**2 + 4*o - 4. Let t be z(-4). Let j(h) = 4*h. What is the lowest common multiple of -21*4/24*t and j(4)?
112
What is the common denominator of ((-37)/(-2))/(4 - (1 - 4)) and 2/(-3) + (-406)/156?
182
Suppose -57 = -i + 35. Let s be (-2)/5 - (-48)/20. Suppose -3*w - s*q + 32 = -22, -5*w = 4*q - i. Calculate the smallest common multiple of w and 22.
176
Let f be 1/(-6)*(-14514 + -10). Let v = f + -2442. What is the common denominator of v and 41/6?
6
Let p(z) = 8*z + 20. What is the lowest common multiple of 14 and p(-2)?
28
What is the common denominator of 67/39 and (13/(-12) + 1)*25?
156
Suppose 0 = -0*d + 2*d. Suppose -5*i + 12817 - 2481 = 4*s, d = -2*s + i + 5154. Let t = 15403/6 - s. Find the common denominator of 85/2 and t.
6
What is the common denominator of -2 + 0 - 356/24 and 14/(-6)*(-50)/35?
6
Suppose 10*f + 3*f - 234 = 0. What is the smallest common multiple of 9 and f?
18
Suppose -4 = j + a - 14, j = -2*a + 12. Let i = -7 + j. Calculate the least common multiple of 6 and i.
6
Calculate the common denominator of (-2)/7 + 954/56 and 27/11.
44
Let a(q) = 6*q**3 - 2*q**2 + 4*q - 2. What is the least common multiple of a(1) and 5?
30
Let d = -411/15176 - -35907387/75880. Let j = -3278/7 + d. Find the common denominator of j and -23/11.
110
Calculate the least common multiple of (-6)/(-4) - ((-15)/(-6))/5 and 18.
18
Let i(d) = -d**2 + 7*d + 1. Let n be i(7). Let o be -1 + (-3 - -2*n). Calculate the common denominator of o*1 - (-135)/33 and -87/10.
110
Let l(b) = b**3 - 4*b**2 - 3*b + 2. Let f be l(5). Let k = f + -6. What is the least common multiple of k and 10?
30
Let n = -1731 - -3385/2. Calculate the common denominator of n and (-4)/(-16) - 98/(-4).
4
Let w = -137077629893/243903369 + 61646/164911. Let p = -1685/3 - w. Let t = 20766/2465 + p. What is the common denominator of -38 and t?
5
Let i = 3565/2 + -1824. Let g = -1/1734 + 33817/6936. What is the common denominator of g and i?
8
Let j = -3 - -2. Let v be j/(1/(-6)*2). Suppose -t = -i - v*t, t - 10 = -3*i. What is the smallest common multiple of i and 11?
44
Let r(z) = z**3 - 8*z**2 + 7*z + 8. Let l = -4 - -11. What is the lowest common multiple of 2 and r(l)?
8
Suppose -5*r = -501 + 41. Find the common denominator of 28/3 and 0 + (r/18)/1.
9
Suppose -w + 5 = -11. Calculate the smallest common multiple of w and 44.
176
Suppose 6 = -4*g - x + 46, -3*g + x = -30. Calculate the least common multiple of g and 10.
10
Let c = -23353/8658 - 12/481. Find the common denominator of c and 76/33.
198
Let f(p) = 4*p**2 - 2*p + 1. Let y be f(1). Suppose -4*h + 22 = -y*h. What is the smallest common multiple of 2 and h?
22
Suppose 0 = -4*p + 3*v + 8, -5*p = -4*v - 11. What is the common denominator of p - 15/(-9) - 1 and (-3)/(-5)*(-15)/(-21)?
21
Calculate the common denominator of (1 + (-34)/12)*(-70)/(-42) and 22/27.
54
Let z(v) be the first derivative of 2*v + 1 - 1/2*v**2. Calculate the least common multiple of z(-6) and 4.
8
Let f be (-7 + 6)/((-2)/10). Suppose f = 2*s - 7. What is the smallest common multiple of s and 4?
12
Let u = -8737/2992 + 3/272. Find the common denominator of 43/9 and u.
99
Suppose 0 = 3*v - 117 - 72. Find the common denominator of 113/10 and (v/180)/(2/48).
10
Let t(o) = o**3 - 10*o**2 - 21*o - 14. Calculate the least common multiple of t(12) and 10.
110
Suppose 9 + 3 = 3*c. What is the lowest common multiple of c and 1?
4
Suppose 114 = 3*n + 2*n + 3*i, -i + 22 = n. Calculate the smallest common multiple of n and 3.
24
Calculate the common denominator of -6 and 12/(-6) - 19/10.
10
Let h = -4 - -12. Calculate the least common multiple of (-1 - -10)/(1/2) and h.
72
Let w(l) = -l**2 + 6*l - 3. Let h be w(5). Calculate the lowest common multiple of -1 - (-1 + (-4)/h) and 7*1*(-2)/(-2).
14
Let g = 70 - 59. What is the lowest common multiple of 7 and g?
77
Let h(m) = -m**3 - 6*m**2 - 8*m - 7. Let s be h(-5). Let t = s + -2. Calculate the smallest common multiple of 7 and t.
42
Let f = 2863/145 - -3/580. Calculate the common denominator of f and 8/28 - 766/84.
12
Let r = 23 + -20. What is the lowest common multiple of r and 45?
45
Let x = -3 - -4. What is the smallest common multiple of 2 and (-2 - 2)/(x/(-2))?
8
Let v be (-38)/(-5) + (-8)/(-20). Let n(u) = -u**2 + 8*u + 8. What is the smallest common multiple of n(v) and 6/2*(0 - -3)?
72
Let p be 962/6 + (-1)/3. Suppose -4*h + 16 = -p. Suppose 0*z - 2*t + h = 3*z, 12 = 3*t. What is the smallest common multiple of 14 and z?
84
Let k = -10 + 16. Let z(l) = l**2 - 7*l - 4. Let m be z(k). Find the common denominator of 89/8 and 2 + (-78)/m + 2.
40
Suppose -p + 8 = 5*t, 5*p + 46 - 2 = -4*t. Calculate the common denominator of 111/10 and 8*p/(-22) + -2.
110
Let l(p) = -p**3 + 7*p**2 + 9*p - 4. Let w be l(8). Suppose 110 = -w*a + 38. Calculate the lowest common multiple of 4/a - (-188)/36 and 9.
45
What is the common denominator of -1 - (158/(-8) - -4) and 9/11?
44
Let v(u) be the first derivative of 17*u**3/3 - u - 2. Suppose 0*a - a + 8 = 0. Calculate the least common multiple of v(1) and a.
16
Suppose 0 = 4*q - q + 3*y - 18, -4*q + 24 = 2*y. Calculate the smallest common multiple of 18 and q.
18
Suppose 0 = -l + 2*s - 14, 0 = -5*s + 15 + 5. Find the common denominator of 57/20 and (-113)/l*(-12)/40.
20
Let x = -513 - -2009/4. What is the common denominator of x and -36?
4
Suppose x = 21 - 6. Find the common denominator of 37/4 and 66/(-4)*(-25)/x.
4
Let r = 2/4113 - -283789/16452. Let x = 60933/11 + -5543. What is the common denominator of x and r?
44
Let q(h) = -h**2 - 6*h - 5. Let u be q(-5). Suppose -2*c + 6*c - 64 = u. What is the least common multiple of c and 14?
112
Let x = -416/57 + -65830/399. Let m = -173 - x. What is the common denominator of -43/9 and m?
63
Suppose -5*y - c = -0*c - 23, 0 = 2*y + 5*c. Let l(d) = 2*d**2 - 1. Let o be l(1). Calculate the smallest common multiple of y and (o + 2/(-3))*6.
10
Let n be (-548943)/(-4) - 6/(-24). Let v = 1066460960/7771 - n. Let g = v + -1157903/46626. What is the common denominator of 29/16 and g?
48
Suppose 0 = -2*v - 3 + 7. Let n = 8 - 3. What is the least common multiple of n and (-15)/v*8/(-6)?
10
Let d(s) = 2*s - 2. Let z(x) = -3*x - 4. 