et j = 90 - 57. Let w = 49 - j. What is the lowest common multiple of w and 8?
16
Let t = -16 + 4. Let j(v) = -30*v - 3. Let q be j(9). Find the common denominator of 17/3 and 2 - (0 + q/t).
12
Calculate the common denominator of 35/18 and (-85)/(1 - (-68)/(2 + 2)).
18
Let g(i) = -i**3 - i**2 + i + 8. Let f = -57 - -60. What is the smallest common multiple of f and g(0)?
24
Let l be 126 - 1/(1 + 0). Let h be 6/(-8) - 22/(-8). What is the common denominator of -51/16 and h*l*3/72?
48
Suppose r = -3*q + 5*q - 45, 4*r = -4*q - 156. Find the common denominator of 139/12 and (-2)/(-4)*r/8.
48
Let z be 2/(-7) - 2820/(-21). Let f = -4/87 - -6905/696. Find the common denominator of z*((-30)/32 + 1) and f.
8
Let m = 6044/55 + -524/5. Let p = 5 - 3. Calculate the common denominator of m and p.
11
Suppose -w - 2*o = -6, -w - 7 = -2*o - 1. What is the smallest common multiple of 20 and (w - 6/(-5))*20?
120
Let v be (-20 - -5)*(-2)/(-5). Calculate the common denominator of ((1185/v)/(-5))/1 and 23.
2
Let r be 3 - 2/(3 + -1). Find the common denominator of 131/16 + -2 - r and 41/10.
80
Let a = 2680 + -37445/14. What is the common denominator of a and -57/20?
140
Let n be 2/((-4)/6) - 1. Calculate the lowest common multiple of (-9)/(-18) - 26/n and 9.
63
Let d = -8274 + 5500. Let q = d - -38889/14. Let w = -21561/10 - -2159. Calculate the common denominator of w and q.
70
Suppose 3*d = 12, -5*d = -u - 10*d - 19. Suppose -5*x + 3*x = 2*i + 30, -5*i - 76 = 4*x. What is the common denominator of (-4)/i + (-86)/(-24) and u?
6
Suppose 0*q - 2*q + 5*k = -11, -k - 15 = -2*q. What is the least common multiple of q and 30?
120
Suppose 2*p - 10 = 3*h + h, -4*h + 20 = 4*p. Let b = 2 + h. Calculate the least common multiple of b and 14.
14
What is the common denominator of (2 - 1)*1192/96 and 99/2?
12
What is the common denominator of 16/(-56) + 649/(-56) and -11/10?
40
Let b = 40 - 20. Calculate the least common multiple of b and 14.
140
Let h be ((-14)/35)/((-2)/(-10)). Suppose 2*f = -0*f. Find the common denominator of h/4*(-328)/(-20) and f.
5
What is the least common multiple of ((-6)/(-8) - -2)/(3/24) and (10/6)/(1/6)?
110
Let r = 4 + -26/7. Calculate the common denominator of 2 + (-3)/((-36)/28) and r.
21
Find the common denominator of 3*(0 - 188/108) and 1 + -5 - 756/(-96).
72
Let q(a) = -a**3 + 8*a**2 + 5. Let u be q(8). Suppose 5*s - 5*r - 60 = 0, r = -s - u + 17. What is the common denominator of -25/12 and s/(-160)*226/3?
60
Let g = 25/58 - 545/87. Calculate the common denominator of g and -13/5.
30
Let f = 10 + -2. What is the least common multiple of f and 20?
40
Let c = -3903/4 + 35345/36. What is the common denominator of 1 - -1*102/16 and c?
72
Let u(k) = k**2 - k - 2. Calculate the lowest common multiple of 9 and u(4).
90
Let i = 25 + -13. Suppose -3*y + i = -y. Calculate the lowest common multiple of y and (-28)/(-6) - 6/9.
12
Suppose 1723 = -4*q - q + j, -3*j = -q - 339. What is the common denominator of (q/(-6) + -2)/9 and 3*(-2 - (-38)/18)?
6
Suppose -7*k = -110 - 121. What is the least common multiple of 30 and k?
330
Let b = 56563/14 - 4035. Let s = 2245/2 - 1153. Find the common denominator of b and s.
14
Find the common denominator of -97/14 and (-106)/(-16) + (0 - 1).
56
Let d be (-1 - 14)*(-12)/36. Suppose -5*o - d*s + 75 = 0, -o + 0*s + 30 = -4*s. Calculate the lowest common multiple of 12 and o.
36
Find the common denominator of 516/396 - (-1)/3 and 2/7.
77
Suppose -5*v - p = -18, 4*v - 13 = 3*p + 9. Suppose -12 = -3*x + x. Calculate the smallest common multiple of x and v/(-14) - (-16)/7.
6
Let r(p) = p**3 + 8*p**2 + 6*p - 2. Calculate the lowest common multiple of 8 and r(-7).
40
Let p(k) = k**3 + 2*k**2 - 2*k - 2. What is the least common multiple of 7 and p(2)?
70
Suppose 0 = -y - y - 210. Let a = -55 - y. Let k = -142/225 + 38/25. Find the common denominator of k and a.
9
Let h = 56 + -9. Let r be (-986)/126 + 8/(-28). Let f = r + 83/9. What is the common denominator of h and f?
9
What is the least common multiple of -7 + 4 + 2 - -8 and 7?
7
Suppose -3*p = -25 - 8. Calculate the least common multiple of 8 and p.
88
Let h = -19619/56 + 2385/7. Let b = 35/12 + 325/84. Find the common denominator of b and h.
56
Let k = 2983/2 + -4604261/3087. Let w = 74602/3087 - k. Find the common denominator of w and 7/(((-18)/(-4))/(-3)).
6
Suppose -158 = -9*d - 23. Calculate the smallest common multiple of 15 and d.
15
Let u = -6728 + 80797/12. What is the common denominator of u and 1330/176 + (-5)/(-110)*-4?
24
Let p = 22 - 13. Let q(a) = a**3 - 3*a**2 - 3*a - 3. What is the smallest common multiple of p and q(4)?
9
Let o be (1/(-67))/(4/28). Let b = -2193/469 - o. What is the common denominator of b and 1/3?
21
Suppose -3*m - 2*w + 51 = 3*w, -2*w = -3*m + 30. Let z = -8 + m. Let n = z - 3. Calculate the lowest common multiple of 5 and n.
5
Let o be ((-4)/(-8))/(2/16). Let g = o - 4. Let h = 3 + g. What is the lowest common multiple of 1 and h?
3
Let k(w) = 17*w**2 - w. Suppose 3*b + 0*b = 27. Let s = 25 - b. Calculate the smallest common multiple of k(1) and s.
16
Let z = 1503691/648670 - -2/29485. Calculate the common denominator of z and -3/10.
110
Suppose -5*c - 2*r + 272 = 0, -4*c + 210 = 5*r - 11. Suppose -n + 29 = -c. Find the common denominator of 21/16 and (n/(-4))/(-1 - 0).
16
Find the common denominator of (-2)/(-7) - 104/(-28) and -46/7.
7
Let x(r) = 2*r. Let m be x(-2). Let j = -14 + m. Calculate the common denominator of ((-78)/(-8))/(j/(-4)) and -31/12.
12
Let g = -7 + 27. Suppose 25 = 6*f - 95. What is the least common multiple of g and f?
20
Let a(b) = b - 9. Let p be a(10). Suppose z + 2 = p. What is the common denominator of -86*1/10 + z and 53/6?
30
Let i(f) = -f**2 - 8*f. Let b = -17 - -11. What is the lowest common multiple of 6 and i(b)?
12
Suppose 9 = -0*n - n + s, 5*n + 4*s = -18. Suppose 5*p - 6*p = -2. Suppose p = x + 6. Find the common denominator of n and x.
1
Let h = -643/7 - -70667/770. Let u = -5857/330 - h. What is the common denominator of 87/8 and u?
24
Let y be 4/2 - 2/2. Suppose -2*i + b + 10 = 0, 5*i - 12 = -b - y. Calculate the lowest common multiple of i and 6.
6
What is the common denominator of 133/(-6)*9/(-56) and -79/12?
48
Suppose -6*f = -1 + 13. Calculate the common denominator of -33/2 and f/4*(-1045)/77.
14
Find the common denominator of 17/16 and (588/56)/(-3*(0 + -5)).
80
Let l = -433/2 + 224. Calculate the common denominator of l and 13.
2
Suppose 0 = -3*y - 10 + 37. Let m = y - -9. Calculate the least common multiple of m and 4.
36
Suppose 2*o + 3*m - 18 = 0, -1 + 2 = -o - 4*m. Suppose 4*k = 43 - o. Let u = 13 + -11. Calculate the smallest common multiple of k and u.
14
Let x = -6 + 14. Let h(t) = -t - 5. Let a be h(-8). Suppose -2*p = 0, 2*p + 36 = a*u + 4*p. Calculate the smallest common multiple of u and x.
24
Suppose 5*k = 103 + 107. Suppose -k = -y - 2*y. What is the smallest common multiple of y and 2?
14
Let a be -1 - (0 + 3 - -3). Find the common denominator of (-159)/a*(-1)/(-3) and 5/9.
63
Suppose 3*u = -u + 20. Let m = -10665/14 - -767. Find the common denominator of u/2*(-98)/10 and m.
14
Let g = 0 - 0. Suppose g = -3*u + 5*h + 41, 4*u + 0*h - 63 = 5*h. Suppose 0 = 4*o + 1 - 33. Calculate the least common multiple of o and u.
88
Let x = -4 - -12. Let v(z) be the third derivative of -z**4/8 + z**3/6 + z**2. What is the lowest common multiple of x and v(-3)?
40
Suppose -3*h + 5*c = -5 + 1, 4*c - 16 = -4*h. What is the smallest common multiple of 11 and h?
33
Calculate the common denominator of -59/20 and ((-12)/8)/(11/((-3476)/(-24))).
20
Let v be (10/(-30))/((-1)/33). Let o be 95332/17952 + (-2)/v. Let c = o - 2/561. What is the common denominator of c and -95/4?
8
Let s be 4/(-16) - 12073/(-4). Let g = s + -30223/10. What is the common denominator of (-262)/(-12) - 0 - 1 and g?
30
Let w = -78 + 100. What is the least common multiple of 22 and w?
22
Let a(z) = -z**3 + 6*z**2 - 5*z + 2. Let d be a(4). What is the smallest common multiple of (-16)/(-10) + 4/10 and 4/(8/d) + -3?
4
Let r(n) = -n**3 - 9*n**2 - 8*n + 5. Let u be r(-8). Suppose 2*a = a + u. Calculate the common denominator of (a/160)/(2/(-292)) and 33/16.
16
Suppose h = -3*h - 40. What is the common denominator of ((-22)/1