6
Let u = 15 + -8. Suppose 11 = 4*p - 5*r, -14 = -3*p - 2*r - 0*r. Calculate the smallest common multiple of p and u.
28
Let c = 1/2966 + 39296/10381. Calculate the common denominator of 8/(-4) + 154/(-40) and c.
140
Calculate the common denominator of (-329)/(-78) + (5 + -11 - -3) and 121/6.
78
Suppose -71 = -2*f + 5*j, -5*f - 6*j = -4*j - 163. What is the least common multiple of 27 and f?
297
Suppose 4*q = v + 84, -q - 5*v - 60 = -3*q. What is the least common multiple of q and 28?
140
Suppose -4*j - 2*o - 25 = -3*j, 0 = 2*j - o + 25. Find the common denominator of (j/(-72))/((-1)/(-50)) and -101/20.
60
Suppose 6 = 2*m - 6. What is the smallest common multiple of m and 20?
60
Let f(h) = -7*h - 5. Let r be f(7). Find the common denominator of 20/r*(-870)/40 and 91/18.
18
Suppose 1 + 5 = g. What is the smallest common multiple of 16 and g?
48
Suppose -6*x + 28 = -10*x. Calculate the common denominator of x and -13.
1
Suppose -5*r + 26 = -19. Let o be 2/r - (-38)/(-9). What is the common denominator of 93/2 and (o/120)/(4/(-558))?
20
Let r = -1021 - -5073/5. What is the common denominator of r and -23?
5
Let m(o) = o**2 - 6*o - 58. Suppose 2*a + 2*a = 88. What is the least common multiple of m(-6) and a?
154
Calculate the lowest common multiple of (21/(-12))/(-7)*56 and 16.
112
Let q = -2 - -24. Let c be (1/(-2))/(1/12). What is the smallest common multiple of q and 2/(-3) + (-100)/c?
176
Let f = 46 + -26. Calculate the least common multiple of f and 4.
20
Let y(v) = -v - 1. Let a be y(-5). Suppose -5 = -a*x + 3. Let i = -2 + 5. What is the lowest common multiple of i and x?
6
Let p = -56591/6 - -9454. Calculate the common denominator of 67/10 and p.
30
What is the common denominator of -13/10 and (-3)/(-9) - 831/(-126)?
70
Let v(q) = q**2 - 6*q + 3. Let u be v(6). Let s be ((-9)/(-6))/(u/30). Calculate the lowest common multiple of 24/15 + 6/s and 16.
16
Let q(c) be the second derivative of -c**5/20 - c**4/2 + c**3/2 - 4*c**2 - c. Calculate the lowest common multiple of q(-7) and 30.
60
Let l = -10571/9140 - -3/457. Find the common denominator of l and 17 - 20 - 121/(-14).
140
Suppose 0 = -4*r - r + 2*j + 32, 0 = -4*j - 4. Let s(l) = 2*l**2. What is the lowest common multiple of s(-1) and r?
6
Let m = -30 - -20. What is the common denominator of (-39)/2*(-3)/81 and (-77)/m + -2 + 3?
90
Find the common denominator of 2*(-107)/20 - 1 and 12/32*-46 + 1.
20
Let k be 40/6 - (-2)/(-3). What is the common denominator of 2/k - (-40)/(-96) and -55/16?
48
Suppose -4*v = -8*v. Calculate the common denominator of 132/(-32)*(-1 - v) and 81/2.
8
Suppose -6*a + 3*a = -18. Let x(c) = -c**3 + 7*c**2 - 6*c + 2. Let p be x(6). Suppose p*o + 1 = 3. Calculate the least common multiple of o and a.
6
Calculate the common denominator of (-6 - 103)/(50 + 0/4) and 59/30.
150
Calculate the smallest common multiple of (10 - 2)/(-1 - -3) and 2.
4
Let a = 45/41 + 3551/164. Find the common denominator of a and 1/2 + 105/(-20).
4
Suppose -3*l + 35 = 2*t, -l = 5*t - 4*l - 119. What is the lowest common multiple of 18 and t?
198
Let x = -9 + 10. What is the common denominator of 47/7 and (-410)/(-45) - (x - 0)?
63
Suppose -4*y = -23 - 1. Let a = 33 + -22. What is the least common multiple of a and y/4 + 3/(-6)?
11
Let w be 1*4*1/2. Suppose -w*l = 3*m + 3, -3*l - 3 - 2 = 4*m. Find the common denominator of m + ((-38)/4 - 0) and 41/4.
4
Let f be (-6)/(-2)*8/(-4). Find the common denominator of -36 and ((-22)/f)/(42/(-18)).
7
Let c be (47 - 0)/(-1 + 2). Let p = c + -9. Let i = -22 + p. What is the smallest common multiple of 12 and i?
48
Suppose -i - 8 = -4*m, 4*i + 2*m + 3*m = 31. Let q be (-3 - -4) + -2 + 0. Let p = 2 - q. What is the least common multiple of p and i?
12
Find the common denominator of 143/60 and (2/(-12))/(24/(-1494)).
120
Suppose -5*t = -5*x + 25, 3*t - 1 = 5*x - 14. Suppose -k = -5*l - 13, 3*k - 2 = 4*l + 4. Let m = k - t. Calculate the smallest common multiple of m and 18.
36
Let k(w) = -2*w**2 - 17*w + 2. What is the least common multiple of 9 and k(-8)?
90
Let y = -19 + 31. What is the least common multiple of y and 8?
24
Let m(k) = -k + 6. Let r be m(5). What is the smallest common multiple of 1 and (10 + -4)*(r - 0)?
6
Let x = -26 + 70. Let j(f) = -f**2 - 2*f - 1. Let h be j(-2). Calculate the common denominator of (-126)/x + h + 1 and 57/10.
110
Suppose s - 1 = 4. Suppose -z + l - 26 = 2*z, s*l - 42 = 4*z. Let q = z + 14. What is the lowest common multiple of q and 18?
18
Suppose -1 = -3*c + 5. Suppose -4*o = -2*z + 12, 5*z = -4*o - 4 + 76. Calculate the lowest common multiple of c and z.
12
Let y be (-894)/(-586) - (-6)/(-4). Let f = y + 34071/8204. Calculate the common denominator of 43/18 and f.
252
Find the common denominator of (-60)/48 - (-2)/(-6) and 145/6.
12
Suppose 15 = -3*w + 8*w. Suppose 5*h - w = -58. Let o = h - -21. Calculate the smallest common multiple of 8 and o.
40
Let f(t) = -t**2 - 14*t - 36. Calculate the least common multiple of 16 and f(-9).
144
Suppose r = 9*r - 192. Let o(b) = 5*b**2 + b + 2. Calculate the smallest common multiple of r and o(-2).
120
Let f(a) = -a**3 - 4*a**2 + 8*a - 3. Let n be f(-6). Let v be (-11)/22 + (-91)/(-2). What is the common denominator of 13/18 and n/v*42/8?
180
Calculate the common denominator of 111/(-14) - (-15)/3 and -113/10.
70
Let j be -3*(1 - 0) + 1. Find the common denominator of (-478)/(-126) - 2/9 and -1*(j + (-17)/(-3)).
21
Let h(r) = r - 5. Let s be h(7). Suppose 6*w = 3*w + s*c + 2, 14 = 3*w + 4*c. Suppose 4*z = 61 - 17. Calculate the least common multiple of z and w.
22
Let k = 2/4049 + -457557/40490. What is the common denominator of k and 19/14?
70
Let w be 4/(-1)*2/(-4). Suppose -6*k = -s - w*k - 17, 0 = -3*k - 12. Let y(u) = 41*u + 1. What is the common denominator of s and y(1)?
1
Let d be ((-2)/10)/((-6)/14132). Let c = -1436/3 + d. What is the common denominator of c and (-4)/10*(-225)/16?
40
Let q be ((-2)/(-6)*0)/2. Suppose -a + f + 11 = q, 0*a = 2*a + 3*f - 37. What is the least common multiple of 18 and a?
126
Let s = -2994227/272475 - -1442/1557. Let p = s + 198/25. Calculate the common denominator of -77/2 and p.
14
What is the smallest common multiple of (-4 + 3)*-29 - 1 and 36?
252
Let s = 17185/156 + -1392/13. Find the common denominator of s and (-12)/44*31/6.
132
Let v be ((-3)/(-1020))/((-4)/18). Let h = 4819/680 - v. Let s = -1539/704 + -55/64. What is the common denominator of h and s?
110
Let q be (-9)/6 - (-1953)/(-825). Let b = q + 66/25. What is the common denominator of 1 - 2 - (-13)/8 and b?
88
Find the common denominator of 81/14 and 27/2 + (2 - 0).
14
Let w(r) = r**2 - 2*r. Suppose -5*t - 2*u + 16 = 0, 3*t = u - 0*u + 14. Calculate the lowest common multiple of 6 and w(t).
24
Suppose 3*y - h - 3 = 7, -y - 2*h + 1 = 0. Let i = 10 - y. What is the lowest common multiple of i and 7?
7
Let i = 83 - 81. Suppose -p + 2*p + 17 = 2*y, 4*p + 8 = -2*y. Let u(n) = -n**2 + 7*n + 2. Calculate the smallest common multiple of i and u(y).
8
Let l(a) = -a**2 - 4*a + 4. Suppose 0*m = -m. Suppose -2*q + m = 4, 2*q + 24 = -5*h. What is the least common multiple of l(h) and 16?
16
Calculate the common denominator of 15/(-40) + (-1186)/(-432) and -73/24.
216
Suppose 8 = -2*i + 20. Let r = -1 - -2. What is the smallest common multiple of i and (3 + -1)/(r/2)?
12
Suppose 0 = -5*f - f + 24. Calculate the least common multiple of 10 and f.
20
Let h = -172 - -357/2. Calculate the common denominator of h and 95/8.
8
Let s = 2314 - 13957/6. Find the common denominator of s and 30/(-8)*15/18.
24
Suppose 4*t + 3*i + 8 - 58 = 0, 0 = 5*i + 10. Let r = t - 9. Let h = -10 + 21. What is the smallest common multiple of r and h?
55
Suppose 72 = 4*z - 5*k - 79, 3*z - 3*k = 117. What is the lowest common multiple of 6 and z?
132
Calculate the smallest common multiple of (-3)/6 + 21/2 and 10.
10
Suppose l - 5*a = 7, -3*l + 13 = 3*a - 8. What is the smallest common multiple of l and 5?
35
Let z(j) = -2*j + 5. Calculate the smallest common multiple of 2 and z(-3).
22
Let w(f) = 2*f + 2. Let r be w(-3). Find the common denominator of 18/8 - r/(-24) and -49/16.
48
Let a(m) = 7*m - 3. Let l = -6 + -3. Let o = 1 - l. Calculate the smallest common multiple of a(3) and o.
90
Let h(l) = -l**3 - 7*l**