 s(u) = -u**2 - 17*u + 20. Calculate the least common multiple of s(-18) and 10.
10
Let m be (16/(-28))/((-4)/14). Suppose t + m*t = 6. What is the smallest common multiple of 6 and t?
6
What is the common denominator of -17/12 and (-34)/187*166/8?
132
Find the common denominator of (-385)/10 - (5 + -1) and -83/18.
18
Let q be 1/4 + 3/(-12). Let a = 4 + q. Suppose 5*f = 2*v, -a*v + 14 = -3*f - 0*v. Calculate the smallest common multiple of f and 5.
10
Find the common denominator of 204/(-70) + (-14)/(-70) and -61/6.
42
Let c be 66*1/12*4. Let l = c - 6. What is the lowest common multiple of l and 14?
112
Suppose -158 = 3*c + 304. Find the common denominator of 28/c + 1534/88 and 15/8.
8
Calculate the common denominator of (10/9)/(2 - (-132)/(-78)) and 71/30.
90
Let x be 4 + -3*(-26 + 4). Suppose -5*w = 5*l - x, -13 = -3*w - 4. Calculate the least common multiple of 10 and l.
110
Suppose 8 = -3*s + 26. What is the lowest common multiple of s and ((-4)/(-10))/((-10)/(-350))?
42
Let y = -36697/10 - -3663. Find the common denominator of y and 79/18.
90
Let p = 2/2891 - 104086/14455. Let s = -52049/10647 - 1/3549. What is the common denominator of s and p?
45
Let t = -3 + 9. Let c(y) = -y - 8. What is the smallest common multiple of t and c(-9)?
6
Suppose -4*j + 5*s + 7 = 0, 0*j + 3*s + 9 = 3*j. Calculate the lowest common multiple of j and 28/21 + -2 + (-32)/(-3).
40
Let m be (-3)/(-6)*4/(-4762). Let r = -3345299/14286 + m. Let h = r + 237. What is the common denominator of h and -5/6?
6
Let o = -887 + 4496/5. Let g(f) = f**2 - 7*f + 9. Let p be g(6). Find the common denominator of 26/p*(-10)/8 and o.
30
Suppose -c = z - 2, -z - 2 = -0*z + 3*c. Suppose -l = 2*l - 48. Let r = l + z. Calculate the least common multiple of r and 16.
80
Suppose 4*x + 176 = -2*z + 7*z, -36 = -z + x. What is the lowest common multiple of z and 18?
288
Let z(c) = 2 + 5 + 2 + 2 - c. Let x = -4 - -12. Calculate the least common multiple of 2 and z(x).
6
Let p = 100 - 76. Calculate the smallest common multiple of p and 8.
24
Let r = 89 + -60. What is the least common multiple of r and 8?
232
Let a(j) = 6*j**2 - 11*j + 4. Calculate the lowest common multiple of a(2) and 9.
18
Suppose 5*q + 2*q - 63 = 0. Calculate the least common multiple of q and 9.
9
Let b be 181/5 + (-3)/15. Suppose -u - b = -0*u. What is the common denominator of 31/12 and (u/(-14))/(-1 + 5)?
84
Let r be ((-2)/28)/((-182)/9). Let a = r + 100547/28028. What is the common denominator of -91/2 and a?
22
Let x(l) be the third derivative of l**6/120 - l**5/60 - l**4/12 + l**3/6 - l**2. Suppose -2*r + 2 = -r. Calculate the lowest common multiple of x(r) and 2.
2
Suppose 0 = -4*k, 2576 = 4*b + k + 616. Let s = b + -1971/4. Let l = 4/269 + -8427/5918. Find the common denominator of s and l.
44
Let a(j) = -j**2 + 7*j + 8. Calculate the least common multiple of a(6) and 8.
56
Let l = 4 + 2. Let d = 14 + -4. What is the smallest common multiple of d and l?
30
Suppose 19 = -4*a + 59. What is the lowest common multiple of 102/5 + (-2)/5 and a?
20
Suppose 10*z = 11*z - 9. Let d(o) = -o**2 + 8*o + 10. What is the least common multiple of d(8) and z?
90
Suppose d - 5*v - 12 = 0, -4*d + 6*d + v + 9 = 0. Find the common denominator of 73/16 and 5/(100/306) + d.
80
Let s(x) = -x**3 + 6*x**2 + 2*x - 6. Let d = 114 - 70. Suppose -3*o = -d - 4. What is the least common multiple of o and s(6)?
48
Let f = 7440/7 + -1059. Find the common denominator of f and -57/7.
7
Let y(o) = 11*o**2. What is the lowest common multiple of 8 and y(-1)?
88
Let q = -19195 - -633484/33. What is the common denominator of q and -133/6?
66
Let f = 5356 + -117935/22. Find the common denominator of 57/14 and f.
154
Suppose 4*z = z. Suppose 4 = -z*n + 2*n. What is the common denominator of 48/11 and n/9 + 244/(-45)?
55
Calculate the least common multiple of 10 and (-4)/(2 + 16/(-6)).
30
Let q be (-3 - 0)*(460 - -5). Let y = q - -15391/11. Let d = y + -1017/88. Find the common denominator of -47/22 and d.
88
Let s(d) = 3*d - 37. What is the least common multiple of 26 and s(13)?
26
Let i = 2741 - 16355/6. What is the common denominator of i and -45/14?
42
Let m = 30145 - 5184891/172. What is the common denominator of m and -67/22?
1892
Let s(y) = -2*y**2 + 21*y + 15. What is the least common multiple of s(11) and 6?
12
Let d(w) = -7*w + 1. Let n be d(-2). Suppose 6*g + n = 3*g. Let l = g + 9. Calculate the smallest common multiple of l and 6.
12
Let j = 533 + -4217/8. Find the common denominator of 17/5 and j.
40
Let t = -1 - -3. What is the least common multiple of t and 2?
2
Let m = 2755/592 - 8/37. What is the common denominator of 85/16 and m?
16
Let b = 2 - -2. Suppose 0 = -b*x, 3*w = 3*x - 2*x + 30. Suppose -w = 2*l - 3*l. Calculate the lowest common multiple of 8 and l.
40
Suppose 7*b = -6*b + 182. Calculate the least common multiple of 12 and b.
84
Calculate the lowest common multiple of 9 and (-6)/3 + 9 + -1.
18
Let x = 5/77 - 1195/616. Calculate the common denominator of x and 39/2.
8
Suppose -3*v + 5 = -4. Suppose v*j - 8*j = -110. Suppose j = 5*b - 28. What is the lowest common multiple of b and 6?
30
Suppose 2*a = -q - 0*a + 7, a = 2*q - 24. Calculate the lowest common multiple of q and 0 + 9 + (-4 - -4).
99
Let r = 9 - -19. Find the common denominator of -17/10 and 803/140 - 8/r.
20
Suppose 5*n - 4*v = 62, -n = 3*v - 2*v - 7. Calculate the common denominator of (-34)/(-3)*4/(-8) and 1/n*(1 + -18).
30
Suppose -2*w + 44 = 16. Suppose 5*d + 5*q - 70 = 0, -5*d = q + 2*q - 74. What is the least common multiple of w and d?
112
What is the least common multiple of 17/68 + 174/8 and 14?
154
Let n be (-2)/6 + 4/3. Let l = 39199/8 - 4907. Calculate the common denominator of (-29)/(3 - n - -3) and l.
40
Calculate the smallest common multiple of 518/63 + 2/(-9) and 22.
88
Let w = -6842 - -150495/22. Find the common denominator of -15/7 and w.
154
Suppose 11 - 5 = z. What is the smallest common multiple of 36 and z?
36
Let a(p) = p**3 + 10*p - 3. Let y(b) = b**2 + b. Let c(q) = a(q) - 5*y(q). Calculate the smallest common multiple of c(5) and 16.
176
Let x = -70031/51084 + 1/1892. Find the common denominator of x and -53/33.
297
Suppose -m + 140 = 4*m. Calculate the smallest common multiple of m and 8.
56
Suppose -2*d = -3*c + 1, 3*c - 29 = -9*d + 4*d. What is the smallest common multiple of c and 18?
18
Suppose 0 = 8*n - 4*n + 4. Suppose 2*f - 4*f = -22. Let c = n + f. Calculate the lowest common multiple of c and 4.
20
Let v be 1/((2 - -1)/21). What is the common denominator of 39/7 and 2/v + 228/28?
7
Let u(b) = -6*b. Calculate the least common multiple of u(-1) and 1.
6
Let m = -1/4862 + 153155/9724. Calculate the common denominator of -13/20 and m.
20
Suppose 0 = -l + f + f - 10, f + 4 = -l. Calculate the smallest common multiple of 20 and 14/l*(-1 + -5).
140
Suppose 0 = -4*o + 2*a + 8, -2*a + 17 - 7 = 5*o. Suppose -o*u - 9 = -5*u. Let i = 28 + -20. What is the least common multiple of u and i?
24
Let k = -943 + 13211/14. What is the common denominator of 113/18 and k?
126
Suppose 0 = 3*q + 5*b - 427, -q = 2*q - b - 451. Calculate the common denominator of (-4)/(-6)*984/64 and 2/6 + q/(-6).
4
Let p(q) = 2*q**3 - 3*q**2 + 4*q - 2. What is the lowest common multiple of 12 and p(2)?
60
Suppose 5*s = 19 + 21. Suppose -2*q = -8 - 0. What is the smallest common multiple of s and q?
8
What is the common denominator of 15*(2/(-2) + 17/14) and 99/4?
28
Let d = -758695/24 + 31617. Calculate the common denominator of d and -47/24.
24
Calculate the least common multiple of 5 and -2 - ((-9)/3 - 1).
10
Suppose 0*h - 5*h - 50 = -5*f, -4*h - f - 30 = 0. Let s = 12 + h. Calculate the lowest common multiple of 4 and s.
4
Let s(i) = -i + 1. Let m be s(-1). Let c(z) = -2*z + m*z**2 + z - 2*z. What is the least common multiple of c(2) and 22?
22
Let m(q) = 4*q**3 - 3*q**2 + q. Suppose -2*z + 0*z = -4. Let g = -6 - -28. What is the smallest common multiple of m(z) and g?
22
Suppose c = -2*h + 4, 2*h + 50 = 3*c + 6. Calculate the lowest common multiple of c and 22.
132
Suppose -4*y + 61 = -3. Let d = y - 10. Let n(r) = 23*r**2 - 1. What is the lowest common multiple of d and n(-1)?
66
Let i(p) = -p**3 + 4*p**2 - 4. Let a be i(3). Suppose -2*t - 4 = -4*s, a*s + 8 = 5