t k = 12 + -18. Let i = k + 0. What is the lowest common multiple of 1 and (4/5)/(i/(-45))?
6
Suppose 2*u + 6 = 3*u. Suppose -5*h - 3*k = -u*k - 35, 3*h - 21 = -2*k. What is the least common multiple of 4 and h?
28
Let i(f) = -2*f - 8. What is the least common multiple of 16 and i(-5)?
16
Let x(b) = b**3 + 6*b**2 + 5*b + 6. What is the least common multiple of x(-3) and 30?
90
Let a(n) be the first derivative of n**4/4 + 10*n**3/3 + 3*n**2 - 11*n + 4. Calculate the lowest common multiple of 8 and a(-9).
16
Let v = 27779 + -777715/28. Calculate the common denominator of v and -19/32.
224
Let b = -8207/1050 - -567/50. What is the common denominator of -70/27 and b?
189
Let i = 4915/2388 - -5/199. What is the common denominator of -93/20 and i?
60
Let d = 2/6339 + -171185/101424. Let o = -5308 + 31973/6. Calculate the common denominator of d and o.
48
Suppose -57 = 3*l + 27. Let g be l*(-20)/154*96. Let r = 44947/132 - g. Calculate the common denominator of 81/14 and r.
84
Let m be -3*(4182/(-81) - -2). Let o = m - 2521/18. What is the common denominator of o and -49?
6
Suppose d + 2*r - 6*r = 42, -3*r = -d + 39. Calculate the least common multiple of d and 39.
390
What is the common denominator of (-381)/(-84) + 4/(-14) and (-49)/(-30) + (-2)/6?
20
Let u(b) = 2*b**2 + 3*b + 3. Let o be u(-3). Suppose o = -2*c + 30. Suppose -31 = -3*r - 4. Calculate the least common multiple of r and c.
9
Suppose -5*z + 0*z = -30. Let h(x) = x**3 - 5*x**2 - 3*x - 4. Calculate the smallest common multiple of h(z) and 14.
14
Suppose 2*u - 4 = 2. Suppose -u*d + 27 = -0*d. Calculate the lowest common multiple of d and 1.
9
Let t = 470 + -14563/31. Let q = 311/279 - t. Calculate the common denominator of q and (-6 - -1) + (-78)/9.
9
Let b = -102661/25890 + -6/4315. Find the common denominator of b and -89/18.
90
Suppose 0 = 5*g - 100 - 10. Suppose 0 = -3*j + j + g. Let i = -1/55 + -2/11. Find the common denominator of i and j.
5
Let s = -2151 - -17269/8. What is the common denominator of s and -77/74?
296
Let x(p) = -p**3 + 6*p**2 + 1. Let q be x(6). Let j = q + 17. What is the least common multiple of 8 and j?
72
Suppose -7*r = -24*r + 408. Calculate the lowest common multiple of 14 and r.
168
Suppose -2*a + 1 = -4*d + 5, 0 = d. What is the least common multiple of (5*2)/1 - -1 and 15/a*12/(-9)?
110
Let l = 8005/6 + -1356. Find the common denominator of l and 53/22.
66
Find the common denominator of (-2)/(-18)*345/15 and 11/9.
9
Let x be 2/7 - (-42095)/35. Suppose s = 4*s - x. What is the common denominator of -89/20 and 2/(-9) + s/(-18)?
20
Find the common denominator of 40/108*(-6)/(-4) and 534/45 + (-5)/(-15).
45
Let j be 5 - (0 + 4 + -3). Calculate the lowest common multiple of (j - 6)/(3/(-6)) and 6.
12
Suppose n - h - 4 = 2, -2*h = -4*n + 16. Suppose -n*j + 8 = -0*j. What is the smallest common multiple of 6 and j?
12
Let m = 2933/2920 + 111/73. Calculate the common denominator of m and -101/10.
40
Suppose -w + 2 = 0, -2*w + 4 + 8 = y. What is the common denominator of (-6)/y*267/(-9) and -13/11?
44
Let u(m) = -78*m - 6. Let p = -16 - -11. Let d be u(p). Let s = d + -837/2. Find the common denominator of s and 18/11.
22
Calculate the least common multiple of 10 and 2/3 - 0 - (-1664)/96.
90
Let q = -26255/21142 + 14/961. Let f = -3417/260 - 72/65. Find the common denominator of q and f.
44
Let m(l) = 10*l**3 - 2*l**2 + 2*l + 2. Let h be m(2). Suppose -6*z = -3*z - h. Find the common denominator of -95/2 and (z/8)/(10/36).
10
Let m = 24 - 10. Let t = m + -141/10. Calculate the common denominator of -23/16 and t.
80
Suppose 4*b = -4*o + 148, -2*o = -0*o - 5*b - 67. Let f = -1 - 0. What is the common denominator of (o/(-10) - 1)/f and 9/5?
5
Let v(g) = -3*g + 4. Let w(l) = 3*l - 5. Let x(t) = -5*v(t) - 4*w(t). Let f be -1 + 1 + 42/7. Calculate the smallest common multiple of x(f) and 12.
36
Let m be (-175)/(-14)*(-8)/(-10). Suppose 2*k + 5*p - m = 7, -3*p = 3. What is the smallest common multiple of k and 5?
55
Let b = 876557325 - 3797246224691/4332. Let q = b - -2/1083. Find the common denominator of q and 11/28.
28
Let l(d) = 84*d**2 - 7*d + 4. Let c be l(-6). Let a = c + -49205/16. What is the common denominator of 67/22 and a?
176
Suppose 9*q = 4*q + 10. Suppose -37 = -5*d - g + 4*g, -3*g = 5*d - 43. Suppose 0 = 5*c - 12 - d. What is the smallest common multiple of q and c?
4
Suppose 4*m - 4 = 0, 31 = 5*x - 3*m - 26. Let c(y) be the third derivative of -y**4/4 + y**2. What is the smallest common multiple of c(-1) and x?
12
Let v(q) = -q**2 - 7*q + 10. Let n be v(-8). Suppose 42 = 5*t - n*t. What is the smallest common multiple of 2 and t?
14
Let b be 56/12 - (-1)/3. What is the lowest common multiple of (-14)/4*(b + -7) and 3?
21
Suppose i - 6*i - 5*g = -65, i = 4*g - 2. Suppose -3*b = -4*t + 27, -18 - 12 = -2*t - 4*b. Calculate the smallest common multiple of i and t.
90
Let a(q) = q + 11. Calculate the least common multiple of a(-5) and (-2)/(-3 - 1 - (2 + -4)).
6
What is the common denominator of 49/36 + 4/18 and 145/12?
12
Let n = -128 - -137. Calculate the lowest common multiple of 33 and n.
99
Let n = -98 + 1959/20. Find the common denominator of 59/4 and n.
20
Let w = -64707/14 + 4624. Calculate the common denominator of w and 67/10.
70
Let a = -1490 + 2541. Let f = a - 2143/2. What is the common denominator of f and 83/2?
2
Let c be (-17)/5 + (-2)/(-5). Let v = c + 7. What is the least common multiple of v and 8?
8
Suppose -4*b = -4*q + b - 8, -3*q = 4*b - 25. Calculate the least common multiple of q and 1.
3
Suppose 3*k = -i + 7, i - 3 = -2*k - 0*k. Suppose -k = -3*z + 5. Calculate the least common multiple of z and 6.
6
Let s = 31 - -9. Suppose -4*d = -0*d - s. Calculate the least common multiple of 9 and d.
90
Suppose 3*z = -0*z + 5*k - 13, z - k + 1 = 0. What is the smallest common multiple of 6 and z?
12
Let k be 4/(-20) - (-208174)/(-80). Let s = k + 2614. Calculate the common denominator of s and 1/(-5) - (-136)/(-20).
8
Suppose -5*k = -k - 32. Calculate the common denominator of (k/40)/(8/490) and -33/5.
20
Let b = -4987/90 - -397/9. What is the common denominator of -77/20 and b?
20
Let o(f) = -6*f - 1. Let n be o(1). Find the common denominator of n*(-2 - (-23)/8) and (4/6)/((-16)/354).
8
Let a = -19 - -30. What is the lowest common multiple of 1 and a?
11
Find the common denominator of (-15)/12*(-3 + 622/30) and 55/8.
24
Let a = 53897/8 + -6749. Find the common denominator of a and (-1852)/240 - 2/10.
24
Find the common denominator of 7/9 and (1 - 3/(-6))*178/12.
36
What is the common denominator of (-20)/(-8)*74/120 and -43/30?
120
Find the common denominator of (-33)/(-11) - (-173)/(-22) and 15/14.
154
Let p = -737/7 - -565258/5369. Let s = p + 17656/3835. Calculate the common denominator of s and (-2)/3*4/6.
45
Let o be (1/2)/((-1)/356). What is the common denominator of 69/10 and (-21)/35 - o/20?
10
Let j(l) be the third derivative of -l**6/8 + l**5/30 - l**3/6 + 2*l**2. Let g(t) = t**2 - 9*t. Calculate the lowest common multiple of g(11) and j(-1).
176
Let z be 15*((-16)/(-12))/1. Let s = z - 11. What is the least common multiple of s and 3?
9
Suppose 6*h - 57 = 9. Calculate the least common multiple of h and 9.
99
Let d(u) be the second derivative of -u**5/20 + u**4/3 + u**3/2 - 3*u**2 + 5*u. Calculate the least common multiple of d(4) and 12.
12
Let g be (2/(-63))/((-808)/504366). Let b = g - -12/707. Calculate the common denominator of b and -95/16.
48
Calculate the lowest common multiple of 42 and -6*1*((-1 - 0) + 0).
42
Suppose 8 = -8*b + 10*b. What is the lowest common multiple of b and 3/((-18)/16)*-6?
16
Suppose 0 = 2*d + 2, -2*d - 9 + 39 = 4*x. Let y be (0 - 1) + 3 + 0. Suppose y*m - 1 = -s + 17, -5*s + 20 = -4*m. What is the least common multiple of x and s?
8
Let l be 3 - 0 - (-1 + 7). Let s be -11*(-1 + -1 - -1). Let m = s + l. Calculate the smallest common multiple of 4 and m.
8
Let h = -1316979 + 39514099/30. Let g = h + -914/5. What is the common denominator of g and ((-56)/20)/((-72)/(-330))?
6
Find the common denominator of (-474)/(-66) - 6 - 3/5 and 149/6.
330
Let i = 36 - -81. Suppose -m = -4*m + i. Find the common denominator of (-14)/(-7) - 8/(-7) and m.
7
Let v = 2288 + -36591/16. Calculate the common denominat