 + 75167, 0 = -n + m - 20694. Let f = n + 122611/6. Let s = f + 5981/24. Calculate the common denominator of s and -57/16.
16
Suppose -5*n + n = 0. Let t be (-261)/(-1) - (n + 2). Calculate the common denominator of (-12)/(-54) - t/(-90) and 121/6.
30
Suppose -1553 = 4*d - 461. Let t be -1*(d/(-6) + 1). Let w = t + 56. What is the common denominator of w and 23/2?
2
Suppose 83*v - 24 = 80*v. Calculate the smallest common multiple of 11 and v.
88
Let t(m) be the first derivative of m**3 - m**2 + 6*m - 1. Let c be t(6). What is the common denominator of c/10*(-20)/88 and 83/10?
110
Let n(q) = 2*q + 1. Let l be n(-3). What is the common denominator of ((-1)/l)/(2/26) and ((-18)/4)/((-30)/(-22))?
10
Suppose 0 = 3*r + 5*x - 15 - 5, 0 = 4*x - 4. Calculate the least common multiple of r and 4.
20
Suppose -1 + 37 = -3*h - 2*t, -19 = h + 3*t. Let c = h + -136. What is the common denominator of 40 and (4/(-10))/((-8)/c)?
10
Let l = -5945 + 35765/6. Let c = 709/4 + -172. Find the common denominator of l and c.
12
Suppose 7 = r - 9. Suppose 5*a - 5*c = -20, c - 2 = -a - 14. What is the smallest common multiple of (-18)/a*(11 - 3) and r?
144
Let x = -2982 - -47681/16. Calculate the common denominator of 75/76 and x.
304
Let n(c) = -c**3 + c**2 + c. Let o(m) = 6*m**3 - 10*m**2 - 12*m. Let a(x) = -5*n(x) - o(x). Let g = -11 + 25. What is the lowest common multiple of a(6) and g?
42
Suppose 9*u - 10*u + 18 = 0. What is the smallest common multiple of u and (30/8)/(6/16)?
90
Let b = -4 - -12. Calculate the least common multiple of 22 and b.
88
Let n be (-8)/12 + (-35644)/(-6). Let p = n - 1912689/322. Let f = 12191/1610 - p. Find the common denominator of -43/10 and f.
10
Suppose -l - 503 - 343 = 0. Let q = -8469/10 - l. Calculate the common denominator of 113/6 and q.
30
Suppose 4*d = -v + 70, -3*d - 3*v + 58 = -5*v. What is the lowest common multiple of 14 and d?
126
Let b be 4/20*2*-35. Let k = -8 - b. Calculate the smallest common multiple of 18 and k.
18
Let q = -331/18 - -13. Find the common denominator of -95/2 and q.
18
Let o = 280/411 + -2/137. Find the common denominator of o and 151/6.
6
Let j(h) = h**3 - 8*h**2 - 8*h + 2. Calculate the least common multiple of -3*1*(-4 - -1) and j(9).
99
Let b = 2 + 4. Calculate the common denominator of b and -47/11.
11
Suppose 6*b = 175 - 169. Suppose -55 = -2*j - 3*j. What is the smallest common multiple of j and b?
11
Let q = 12/595 + 21859/7735. Let l = 127/11 - 367/88. What is the common denominator of l and q?
104
Let t(n) = -2*n - 11. What is the smallest common multiple of t(-19) and 12?
108
Let j = 3 + 2. Suppose -2*l + 11 = -11. What is the smallest common multiple of l and j?
55
Suppose -3*d + 5*d = 10. Suppose 0 = d*m - 2*m - 66. What is the least common multiple of m and 6?
66
Let c = 119 + -77. What is the least common multiple of c and 18?
126
Let f be 1 - (1929/(-570) + 0). Let u = f + 3/190. Calculate the common denominator of u and -3/11.
55
Let c = 423/2 - 242. What is the common denominator of -31/5 and c?
10
Let h = -25 - -36. Suppose -h = 3*i - 2. What is the least common multiple of 20 and (-1)/i + 23/3?
40
Let n = 2/2459 + -238535/14754. Calculate the common denominator of n and 67/36.
36
What is the common denominator of (-8530)/700 - (-2)/7 and -121/6?
30
Calculate the common denominator of 170/16 + 0 + -2 and -3*1/(11/(-7)).
88
Suppose -5*d + 130 = -2*l, 2*l = -2*d + l + 61. Calculate the lowest common multiple of 2 and 244/d + 4/14.
18
Suppose b + 4*v + 4 + 4 = 0, 4*b = 5*v + 73. Suppose 0 = -3*x + 2*x + 3*g + 10, 0 = -4*x + 2*g + 20. What is the lowest common multiple of b and x?
12
Suppose 0 = 2*y - 5*y. Suppose 0 = -c - y + 2. Suppose 10 = -c*b, -4*t + 5 + 17 = 2*b. Calculate the smallest common multiple of 3 and t.
24
Let d = -5 + -40. What is the least common multiple of (-117)/d - (-4)/10 and 3?
3
Let u(v) = v**3 - 7*v**2 + 5*v + 1. Let d be u(6). Calculate the common denominator of -2/3 and d/(-8)*(-282)/(-30).
24
Let x(l) = -l**3 - 2*l**2 + 2*l - 2. Let q(w) = -w - 8. Let a be q(-4). What is the smallest common multiple of 68/(-51)*3/(-2) and x(a)?
22
Let b be (-1 - 3)/8*0. Suppose -36 = -b*u - 3*u. What is the lowest common multiple of u and 14?
84
Calculate the common denominator of (-19)/(-6) - (3 - (0 - -3)) and -97/30.
30
Let l(p) = -p**3 + 4*p**2 + p + 1. Suppose 3*y - 14 = -0*y + 2*b, -b = -4*y + 17. Calculate the lowest common multiple of l(y) and 12.
60
Let l be 2 + (-1 - -2)/1. Let c be -1*(2/(-2) + 1). Let s = c + l. What is the least common multiple of s and 9?
9
Suppose 2*q + 30 = 7*q. Calculate the lowest common multiple of 24 and q.
24
Let m be 5/27*3585/(-115). Let l = -13/46 + m. Calculate the common denominator of l and -99/16.
144
Let h(j) = 4*j + 43. Let b(w) = 2*w + 10. Let m(c) = -c - 9. Let x(v) = -2*b(v) - 3*m(v). What is the least common multiple of h(-8) and x(6)?
11
Let g = 1263 - 707. What is the common denominator of 3 - (g/88 - 0) and 27/20?
220
Suppose 5*x = -5*g + 16 - 6, -4*x + 2 = g. Suppose 2*p - 4*t + 402 = x, 0*t = -3*t + 6. Find the common denominator of (-2)/(-6) - p/(-24) and 22/3.
24
Let c(g) = -14*g + 2. Let a = -1 - 2. Let s be c(a). Find the common denominator of 31/18 and 10/s*27/(-5).
198
Suppose -2*u + 23 - 9 = 0. Suppose 14 = 5*y - 2*c - 20, -5*y = 5*c - 20. What is the lowest common multiple of u and y?
42
Calculate the common denominator of 1 + (-4 - (-24)/21) and -47/3.
21
Let s(q) be the first derivative of -3*q**4/2 - 2*q**3/3 - q**2/2 - 3*q + 6. Find the common denominator of 87/10 and s(-2).
10
Let i(m) = 3*m**2 + 3*m - 2. What is the lowest common multiple of 9 and i(-2)?
36
Let x = -73 + 117. Calculate the least common multiple of 10 and x.
220
Suppose -3*i - 12 = -36. Let m = -120 - -136. Calculate the least common multiple of i and m.
16
Suppose 0 = s - 6*s - 45. Calculate the common denominator of 41/14 and 558/189*s/(-4).
14
Let l = -2/1759 + 56306/15831. Find the common denominator of (-42)/(-4) + 4/6 and l.
18
Let i = -356/15 + 77/5. Find the common denominator of i and 67/132.
132
Suppose -a = -n + 4*a + 14, 0 = n + 2*a - 7. Suppose -y - n = -4*j - 4*y, 3*y + 15 = 4*j. Calculate the lowest common multiple of j and 9.
9
Suppose -5*h = 3*s + 1, 0 = h + 3 + 2. Let t = 1 + 0. Let k = t + 1. What is the least common multiple of s and k?
8
Suppose -45 = -6*o - 9. What is the smallest common multiple of o and 7?
42
Let z = -3 + 3. Suppose 3*a - 12 - 12 = z. Find the common denominator of ((-62)/a)/(10/(-8)) and 29/5.
5
Let y = -4399915 + 52844221/12. Let t = 3759 - y. Find the common denominator of 805/(-84) - (1 - 4) and t.
12
Let r = 5 + 0. Let j(a) = a - 8. What is the smallest common multiple of j(11) and r?
15
Suppose 3*k = 51 - 3. Suppose 46 = 5*c - 34. What is the smallest common multiple of k and c?
16
Let s = 35 + 3. Calculate the smallest common multiple of 8 and s.
152
Suppose 4*o - 2*q + 10 = 0, q - 9 = 5*o - 1. Let c be 22*(o - 2/(-4)). Let p = 15 + c. What is the least common multiple of p and 16?
16
Let q(x) = -x**3 - 7*x**2 - 2*x - 4. Calculate the least common multiple of q(-7) and 6.
30
Suppose -j + 6*j - 5 = 0. Let u(q) be the first derivative of q**4/4 - q**3/3 + 3*q**2/2 - 3*q + 1. What is the lowest common multiple of u(2) and j?
7
Suppose -3*p + 20 = p. Let u be 596/12*1*-3. Let r = u + 101. What is the common denominator of r and p?
1
Let o(i) = i**2 + 9*i - 7. Calculate the smallest common multiple of 8 and o(-11).
120
Let o(z) = z**3 + 6*z**2 - 6*z - 4. What is the smallest common multiple of o(-6) and 14?
224
Let z(j) = j**2 - 5*j + 4. Let n be z(5). Suppose 7 = 3*m + 1. Let p = n - m. What is the lowest common multiple of p and 8?
8
Suppose -5*u + y + 101 = 0, u - 11 = y + 10. Find the common denominator of (-3)/(-6) - 51/20 and 3 - 5 - 146/u.
20
Suppose -7*a + 32 = -5*a. Calculate the smallest common multiple of 52 and a.
208
Let r be 64/(-10)*75/(-6). Let t = 257245/16868 - 2/4217. Calculate the common denominator of (-952)/r + 2/(-10) and t.
20
Suppose y - h = 3, -7*y + 3*y + 14 = -5*h. What is the least common multiple of 5 and y?
5
Let o be ((-2)/3)/((-24)/(-64926)). Let j = 1771 + o. Find the common denominator of j and 51/20.
20
Let b be -3 + (-6)/(-3) + 2. What is the lowest common 