6. What is the common denominator of (4 - 308/40) + m and -151/6?
30
Suppose -5*a = -4*r - a + 32, 4*a + 20 = 3*r. Let q = -5 + 11. Calculate the least common multiple of r and q.
12
Calculate the common denominator of 6*17/(-2)*(-35)/(-126) and -27/22.
66
Let o = -66 - -86. What is the lowest common multiple of 20 and o?
20
Suppose -2 = -h - 1. Let k(w) be the first derivative of 3*w**4 - 1. Calculate the least common multiple of 16 and k(h).
48
Suppose -2*w = -4*w + 8. Calculate the common denominator of 10/w*1/25 and (0/7)/3 - (-102)/(-20).
10
Let t be (-1)/(-4) + (-94)/(-8). What is the common denominator of (-63)/(-6)*t/81 and 12/5?
45
Suppose -28*h = -27*h - 55. What is the smallest common multiple of h and 8?
440
Let w = -7588/5 - -91501/60. Let s = 5313/2 + -29257/11. Find the common denominator of s and w.
132
Let n(o) = -7*o**3 + o**2 + 3*o + 1. What is the smallest common multiple of 0 + (-22 - -2)/(-2) and n(-1)?
30
Let z = -6 - -16. Suppose 4*k + 2 = 2*k. What is the smallest common multiple of (13 + 1)*(k - -2) and z?
70
Suppose 0 = l + 3*n + 38, l + 25 - 7 = 2*n. Let u = l - -16. What is the lowest common multiple of 8 and (-1)/2 + (-65)/u?
24
Let m(j) = -j**3 + 3*j**2 + 2*j. Let u be m(4). Let d be u/4 + 225874/20. Let x = -11303 + d. Find the common denominator of x and -81/22.
110
Let w = -10 - 34. Let a = 81331/10 - 8121. What is the common denominator of 68/w - (3 + 0) and a?
110
Let j be (1/5)/(518/(-4)). Let q = j + 5739/2590. What is the common denominator of q and -3/20?
140
Suppose 5*s - 41 = -4*l, 22 = 2*s + s + 5*l. Let v be (0 - -3*2)*3. Let w = v - 8. Calculate the least common multiple of s and w.
90
Let c = -25 - -46. Let p = -19 + c. What is the smallest common multiple of 14 and p?
14
Let i be -6*(-6)/(-27)*-3. What is the common denominator of (11/i)/((-1)/(-2)) and 36?
2
Suppose 4*w - y = 12, -4*y - 15 - 7 = -3*w. Calculate the least common multiple of w and 22.
22
Let t = -5733/2420 - -87/121. Let v = 12193/42 + -869/3. Calculate the common denominator of v and t.
140
Find the common denominator of (548/(-18))/(-2 + -2) and 103/6.
18
Suppose 0 = 2*l - 0*l - 4*s + 8, -4*l + s + 19 = 0. What is the common denominator of (-4)/l*(-126)/264 and 125/12?
132
Find the common denominator of -62/3 and 2*6/28 - 419/63.
9
Suppose -4*p + 5*c - 25216 = 0, -3*c - 18885 = 2*p + p. Let o = 2643507 + -21198349/8. Let h = o - p. What is the common denominator of h and 63/2?
8
Let n = -23 - -27. Let t = 30 - 20. Calculate the smallest common multiple of n and t.
20
Let f = -7117 - -13595. Let s be (16/(-20))/(9/72805). Let r = s + f. Calculate the common denominator of -46/5 and r.
45
Suppose -s + 24 = 2*s. Calculate the least common multiple of 8/(2 + -6 + 6) and s.
8
Suppose 5*p - 17 = 4*p - 4*b, -20 = -4*p - 4*b. Let c = 9 + p. Suppose 2*w - w - c = 0. Calculate the lowest common multiple of w and 2.
10
Let x = 3 - 1. Suppose x*g = -0 + 16. Calculate the lowest common multiple of g and 7.
56
Suppose -p + 2 = -1. What is the smallest common multiple of 7 and 3*((-40)/p)/(-5)?
56
Let i = 2596/13 + -4903831/24557. Let j = -5/1096723921 - -246544634259171/20717114867690. Let n = i - j. What is the common denominator of 15/16 and n?
80
Suppose -2*r - 2*s + 10 = -18, 5*r = 4*s + 34. What is the smallest common multiple of 7 and r?
70
Let f be ((-8)/(-6))/(205/(-90)). Let i = 59166/41 + -114225/82. Let h = f + i. Calculate the common denominator of h and -56/9.
18
Let b be (179 - (-1 - -3))*45. Let y = b + -79713/10. Calculate the common denominator of y and -89/6.
30
Suppose 6*w + 40 = 166. Calculate the lowest common multiple of w and 11.
231
Suppose 2*q + 4 = -2*w, w - 6*w = -q - 8. Let d be 4217 + -2 + w + -2. Let y = d - 58913/14. Find the common denominator of 71/2 and y.
14
Let a be 1 + 4 + 0 + -2. Suppose v = 4*v - a. Calculate the lowest common multiple of v and 8.
8
Let f be 761/4*3/(-147). Let c = 18/49 - f. Find the common denominator of -6 + 2/4*1 and c.
4
What is the common denominator of ((-28)/15 + 2)/((-6)/(-600)) and 56/9?
9
Suppose 3*a = -9, 4*v - 79 = 3*a + 2. What is the least common multiple of 27 and v?
54
Let p be 1711/2*(-153)/15. Let o = 8714 + p. Find the common denominator of 28/3 and o.
30
Let f = -51 - -103. Calculate the lowest common multiple of f and 1.
52
Let r = 28 + -7. Suppose 0 = -6*c + r + 15. What is the least common multiple of 5 and c?
30
Let f be 2 + 41/32*6106. Let d = -7831 + f. Let u = -2138 - -4181/2. Find the common denominator of d and u.
16
Let a be (-716)/(-10)*30/8. Let j = a + -2344/9. Find the common denominator of -1 + (1 - (-97)/20) and j.
180
Calculate the common denominator of -87/8 and (-22)/(-4)*(-26)/(-6).
24
Let r = 2 + -2. Let v be (-542)/(-208) + -2 - r. Let l = v - -7/26. What is the common denominator of l and 49/4?
8
What is the smallest common multiple of 4 - (-1)/(2 - (3 + 0)) and 10?
30
Let r be (-8)/(-20) + 23/5. Suppose 0 = 3*m - 4*u - 152, 5*m - 50 = r*u + 195. Find the common denominator of 0 - (2/m - -2) and -1/22.
22
Suppose -2*i = 4*s + s - 23, 3*s = -2*i + 33. What is the common denominator of 4 + -2 - 230/i and (-21)/(-48) - 1*4?
48
Let f = 865/9 - 18263/180. What is the common denominator of -3/20 and f?
20
Find the common denominator of -1 - 2 - (-106)/16 and -29/11.
88
Let d = -127/24 - -32/3. Find the common denominator of d and 415/30 + (-1)/(-3).
24
Let x(n) = n - 4. Let z be x(-4). Calculate the common denominator of (-1420)/15*1/z and -53/9.
18
Let x(l) = -l**2 - 4*l - 1. Let s be x(-2). Suppose 0 = s*i - 0 - 9. What is the least common multiple of 12 and (-14)/(-8) + i/12?
12
Let i = -2/239 - 1187/956. What is the common denominator of -61/4 and i?
4
Let n = -6 - -34. Suppose -f = -0*f - 3*u - 11, -3*f = -4*u - n. What is the least common multiple of f and 5?
40
Let p = -13 + 29. Find the common denominator of 5/p*(-178)/10 and 15/16.
16
Let h = -22769/2604 - 4/651. Let s = -25/44 + 589/88. Find the common denominator of h and s.
8
Let f = 5318 - 117039/22. What is the common denominator of -69/10 and f?
110
Let n(u) = 4 + 3*u - 4. Calculate the least common multiple of 4 and n(2).
12
Suppose 5*l - 2 = 3. Let r = 2 + l. Suppose -4*i = -4*y + 3*y + 14, 2*i + 6 = 0. Calculate the smallest common multiple of y and r.
6
Let s = 1407/2 + -688. Find the common denominator of 113/65 + 10/(-50) and s.
26
Let s be (2/8)/((-3)/12). Calculate the smallest common multiple of (-2 - 12/s)*1 and 20.
20
Let f be 4/(-16) + 15/(-4). Find the common denominator of 7/13 and (-29)/(-6)*(f + -1).
78
Let a(z) = 2*z**2 - 6*z + 2. What is the lowest common multiple of a(4) and 10?
10
Let b(m) = -m**3 - 7*m**2 + 7*m + 16. What is the least common multiple of 18 and b(-8)?
72
Let a(y) = 9*y**3 - 15*y**2 + 5*y - 6. Let p(n) = 5*n**3 - 8*n**2 + 3*n - 3. Let f(v) = 6*a(v) - 11*p(v). Calculate the least common multiple of f(-2) and 2.
6
Suppose -21 = 5*m - 2*o - 0*o, 5*o = -10. Calculate the common denominator of 44/7 and (-35)/((2 - m) + 1).
56
Suppose -3*g + 42 = -g. Suppose -3*y = -2*w + g, 50 = 2*w + y + 9. Let b(o) = o**3 + 7*o**2 + 10*o + 16. Calculate the least common multiple of w and b(-3).
198
Let d = 3021 + -1799. Let o = -7495/1113 - -29/318. What is the common denominator of o and d/(-72) + (-4)/(-18)?
28
Let w be 12/16 + (-6)/8. Let m be 620/(-5) + -1 + w. Calculate the common denominator of -25/18 and 7/(-28) + m/(-44).
198
Suppose -5*u + 14 = -46. Suppose 2*g = 20 + u. Let r(d) = -5*d**3 - d**2. What is the least common multiple of g and r(-1)?
16
Let x be -2*2/4 + -1. Let a(i) = -10*i + 1. What is the common denominator of a(x) and ((-40)/18)/((-2)/(-1))?
9
Suppose 22 = -5*g - 2*d, -d = -g + 3*d. Calculate the smallest common multiple of 12 - (g/1 - 0) and 14.
112
Let y(v) = -v**3 + 5*v**2 - v + 1. What is the smallest common multiple of y(3) and 4?
16
Suppose 4*h + 101 = 3*a, 4*a - 4*h = 133 - 5. Suppose t = -a - 17. Find the common denominator of t and ((-10)/22)/(1/8).
11
Let p(j) = -j - 3. Let u be p(-5). Suppose -t - u*t = -45. What is the smallest common multiple of t - (-2)/(-2 - -4) and 8?
16
Let c(f) = -f - 3. Let o(d) = d**3 - 5*d**2 + 4*d + 1. Let n be o(3). Calculate the least common multiple of c(n) and (-61)/(-3) + (-2)/6.
20
Let j = 6019/6