1. Let c(u) = -u + 5. Let f = -29 - -22. Calculate the least common multiple of c(f) and n(1).
132
Let a(r) = 40*r + 2. Let w be a(6). Let m = w + -469/2. Let b = -1051 + 16831/16. Calculate the common denominator of b and m.
16
Suppose 3 = w - 0. What is the lowest common multiple of w and 9?
9
Let j = 184317/4 + -46330. Let x = 253 + j. Find the common denominator of 93/22 and x.
44
Let i be (-2)/2 - (-1357212)/148442. Let q = -2/10603 + i. Let c = -2236/3 - -729. Find the common denominator of q and c.
21
Find the common denominator of 1*4/(-56)*-53 and 19/4.
28
Let k(b) = b**2 + 6*b + 5. Let y be k(-4). Find the common denominator of 243/7*1/6 and ((y - 264)/(-3))/(-14).
14
Suppose 120 = -q + 122. Calculate the least common multiple of (-4)/14 + (-144)/(-14) and q.
10
Let a = -11 + 17. Calculate the least common multiple of a and 18.
18
Let k(u) = 2*u**2 + 3*u - 11. Calculate the smallest common multiple of 18 and k(-4).
18
Let r be (-5)/2*2/(-1). Suppose r*i - 4*i = 3. Calculate the smallest common multiple of 3 and i.
3
Let k = 17 - -1. Suppose -2*g + 29 = -7. What is the lowest common multiple of k and g?
18
What is the smallest common multiple of 24 and (1 - 1 - 1) + (-17)/(-1)?
48
Let r(u) = -4*u - 10. Calculate the lowest common multiple of 50 and r(-8).
550
Let j = 17687/10 + -1767. Let r = -3077/15 - -1217/6. Find the common denominator of j and r.
10
Let t(r) = -r**3 + 7*r**2 - 7*r + 4. Let a be t(6). Let z be 1/(-839)*a/4. Let q = -23914/4195 + z. Calculate the common denominator of q and -47/8.
40
Suppose -27 + 82 = 5*d. Suppose -2*z = 2 + 8. Let t = 10 + z. Calculate the smallest common multiple of d and t.
55
Let i = 4560 - 36423/8. Let v(u) = -11*u**2 - 11*u + 7. Let y be v(-9). Let g = 3123/4 + y. What is the common denominator of i and g?
8
Let q(l) = l**3 + 14*l**2 - 15*l + 8. What is the least common multiple of 22 and q(-15)?
88
Suppose -5*d - 2*o = -2, 0*o - o = 2*d. What is the least common multiple of 10 and d?
10
Let k = -16 - 5. Let d = 241 - 125. What is the smallest common multiple of 6/k + d/14 and 5?
40
Let n = 245/6 - 146/3. What is the common denominator of n and -32/9?
18
Calculate the least common multiple of 2 and ((-45)/(-27))/(10/12).
2
Let a = -1 + 8. Calculate the lowest common multiple of (4 - -3) + (0 - 0) and a.
7
What is the common denominator of -131/12 and (385/(-25))/(32/10)?
48
Let b(w) be the third derivative of -w**4/24 - 2*w**3/3 - 2*w**2. Calculate the lowest common multiple of b(-10) and 22.
66
Suppose n - 2*n = -8. What is the least common multiple of n and 3?
24
Let t = 601/3 - 200. What is the common denominator of 59/9 and t?
9
Let l = 15/79 + -537/1580. What is the common denominator of ((-2)/7)/((-16)/212) and l?
140
Suppose -5*j = -3*g - 21 - 1, 0 = 2*j + g. What is the smallest common multiple of 1 and j?
2
Let k = 11339/8 - 1414. What is the common denominator of k and (33/24 - 1)/(4/10)?
16
Let a = -526 + 10543/20. What is the common denominator of a and 53/10?
20
What is the common denominator of 37/6 and (-134)/(-12) + -2 + 20/15?
6
Suppose -2*a - 7 = t + 2, 0 = -2*t + 2. Let q(n) = -3 + n + 0 - 2*n. What is the least common multiple of q(a) and 6?
6
Let z(i) = 9*i - 134. Let y = 42/31 + 997/248. Calculate the common denominator of z(16) and y.
8
Suppose -5*h + 2*m = -189 - 39, -m - 48 = -h. What is the smallest common multiple of 9 and (2/(-4))/((-2)/h)?
99
Suppose -4*c - 3 = 2*q + 3, 3*c = -5*q - 22. Calculate the common denominator of -2 + 31/8 + c and (-4)/14*(-161)/(-9).
72
Let i = -643 - -46. Let o be 0 - (i/198 + 3). Let b = -1630/231 - o. Find the common denominator of b and -43/10.
70
Let z(w) = w**3 - 4*w**2 + 2. Let x be z(4). Let j be x/4*6*-1. Let o = j + 9. Calculate the smallest common multiple of 6 and o.
6
Let d(y) = 15*y**2 + y - 1. Calculate the least common multiple of d(1) and 30.
30
Let m(b) = b**3 + 10*b**2 - b + 5. Calculate the least common multiple of 33 and m(-10).
165
Let u be (-36902)/18016 - (-3)/(-12). Let r = u + -8/563. What is the common denominator of ((-134)/(-40))/(-1) - 2 and r?
80
Let t = 21500831039/1744 + -12328461. Let s = t + 5/218. Let k = -265/18 + 139/9. Calculate the common denominator of k and s.
144
Calculate the least common multiple of 3 and 7/(21/6) + 3/1.
15
Suppose -6*t + 4*t = -6. Suppose 43 = t*b + 13. Calculate the smallest common multiple of b and 2/4*-1*-14.
70
Let b(c) = c + 16. What is the least common multiple of b(5) and 30?
210
Suppose 2*d - 180 = -7*d. What is the smallest common multiple of 4 and d?
20
Let h = 7 + -9. Let b be 3/9*h*3. Calculate the common denominator of 62/9 and 250/12 - 1/b.
9
Suppose -3*j - 3*u + 1 = -5, -2*u - 26 = -3*j. Calculate the least common multiple of 10 and j.
30
What is the common denominator of (119/10)/((-9)/(-15)) + -2 and 1/32?
96
Let n = -8 - -11. Suppose 0*d + 54 = n*d. What is the smallest common multiple of d and 22?
198
Let c(z) = -z**2 - 6*z - 1. Let d be c(-5). Calculate the smallest common multiple of (12/5)/(d/20) and 8.
24
Suppose -10 = -5*y - 0. Calculate the least common multiple of 10 and y.
10
Let a be (11/(-2))/(9/1642). Let r = 2714 + -1714. Let y = r + a. Find the common denominator of 12/11 and y.
99
Suppose -4*f = -3*u - 49, 0*f = -3*f - 2*u + 24. What is the least common multiple of f and 18?
90
Let t be 1/(-42)*-8587 + -4. Let z = -1234/7 + t. Calculate the common denominator of z and -119/18.
18
Suppose j - 13 = 5*t + 9, 0 = 2*j + 5*t + 16. What is the least common multiple of j and 4?
4
Suppose 1 = -3*v + 13. Suppose -y - 174 = 2*y. Find the common denominator of v/6 + y/(-21) and 42/5.
35
Let j = -13646 + 6100. Let t = j - -113116/15. What is the common denominator of t and 61/3?
15
What is the common denominator of (76/10)/(40 + -32) and -91/40?
40
Let y = 1558/69 - 21/23. Find the common denominator of -17/24 and y.
24
Suppose 6*c - 2*c = -4*b - 896, 454 = -2*b - 5*c. Calculate the smallest common multiple of (-8)/(-28) + b/(-7) and 12.
96
Let s = -247 + 265. Calculate the smallest common multiple of 11 - (1 - (3 - 1)) and s.
36
Calculate the least common multiple of ((-30)/105)/((-2)/14) and 16.
16
Suppose -3*r = 6, -4*v + v - 2*r + 5 = 0. What is the smallest common multiple of 12 and v?
12
Let j = -1427/3 + 903/2. Find the common denominator of -19*2*(-4)/(-6) and j.
6
Let m(n) = 11*n + 1. Let q be m(1). Find the common denominator of (1 - 2)/(q/200) and -97/10.
30
Let r = 3 + 1. Let g be ((-14)/8)/(1/(-8)). Let j = g - 6. What is the least common multiple of j and r?
8
Let x(q) = q**2 - 6*q - 10. Suppose -p = 4*l - 23, 3*l = 2*l + 5. Suppose p*u - 13 = 11. Calculate the lowest common multiple of x(u) and 1.
6
Let i = -462 - -1370/3. Find the common denominator of i and 124/20*1 - -3.
15
Calculate the smallest common multiple of 14 and (-32)/(-6) + 4/6.
42
Let d = 16 + 12. Suppose 0 = -4*h + 2*s + d, -h - 3*s = -6*h + 36. Calculate the least common multiple of h and 16.
48
Let d be 968766/468 - (-2)/13. Let v = -2085 + d. What is the common denominator of -39/16 and v?
48
Suppose a - 2*a - 4*p = -2, 5*a - 3*p = 102. What is the least common multiple of 4 and a?
36
Let r = 7 - -2. What is the lowest common multiple of (-95)/(-35) + (-2)/(-7) and r?
9
Let i = 593/29 + -6965/464. Let y = 17/43 + 1987/86. Find the common denominator of y and i.
16
Suppose 2*h - 8 - 5 = b, -9 = -3*b. What is the least common multiple of (h/14)/(2/7) and 11?
22
Let r(m) = 6*m - 26. What is the lowest common multiple of r(7) and 8?
16
Calculate the common denominator of (-38)/(-57) - (-53)/15 and -5/9.
45
Suppose 5*b + 1 - 11 = 0. Let r(g) = g**3 - g**2 + 2*g + 2. Calculate the smallest common multiple of 22 and r(b).
110
Let p = -24701 - -494119/20. Find the common denominator of p and -89/22.
220
Let h = 3 + -2. Let n = 9 - 0. Suppose -30 = -n*i + 4*i. What is the lowest common multiple of i and h?
6
Let u = -3 - -3. Suppose 3*k = 5*r + 5, -4*r + 18 = 2*k - u*r. What is the common denominator of (-1)/k - (-196)/(-120) and 19/10?
30
Let j = 2531 - 8491503/3355. Let k = 11289/6710 - j. Find the common denominator of k and (-19)/16 + (2 - 1).
176
Suppose -29 = -5*b - 5*y + 21, -2*b + 5*y = -55. Let z = b + -29/2. Find the common denominator of (-1)/(-2)*(-5)/40 and z.
16