
15
Let g = -30 + 34. Calculate the lowest common multiple of 3 and g.
12
Suppose -5*f + 2 + 14 = 2*m, -5*f + 4*m = -28. What is the smallest common multiple of 1 and f?
4
Calculate the common denominator of 65/9 and (199/3 - -2)*(-2)/35.
63
Let q = -176 - -185. What is the least common multiple of q and 6?
18
Let j = -240443/57192 - 10/2383. What is the common denominator of j and 125/42?
168
Let q be 361*(94/44 - 2). Let s = q - 250/11. Let j = -2661 + 47821/18. Find the common denominator of j and s.
18
Let d = 6/4883 + -551851/58596. Let j = -437051/51924 + 2/4327. What is the common denominator of d and j?
12
Let u be ((-159)/120)/(4/(-5)). Let y = 83652 + -24091811/288. Let t = u - y. What is the common denominator of t and 20/3?
9
Suppose 7*j = 45 + 67. Calculate the least common multiple of j and 84.
336
Let v(i) = 2*i**2 - 30*i - 54. Calculate the smallest common multiple of v(17) and (1*-1 - -2) + 17.
126
Let r = -11 - -17. Calculate the lowest common multiple of 22 and r.
66
Let t = 2/7045383 + -869210036879/70453830. Let f = -12325 - t. What is the common denominator of 103/14 and f?
70
Let d(g) = -g + 24. Calculate the smallest common multiple of d(8) and 30.
240
Let i(b) = -b**2 + 10*b + 3. Calculate the smallest common multiple of i(10) and 15.
15
Let z = 358567/948 + 7/474. Let t = z - 1379/4. Let f = -1793 + 19673/11. Find the common denominator of t and f.
22
Suppose 3*f = -o - o - 10, -2*f + 4*o = 12. Suppose 4*j + 12 = 0, -42 = -5*c + 3*j + j. What is the smallest common multiple of (6/f)/((-6)/40) and c?
30
Let s(n) = 8*n + 2. What is the least common multiple of 22 and s(2)?
198
Let q be -3 + 2 - 6*-2. Suppose 3*l - o - q = o, -5*o + 53 = 4*l. What is the lowest common multiple of l and 10?
70
Let q = 0 + 18. Let d be (-4)/q + (-58)/(-18). Suppose d*i - 16 = 11. Calculate the smallest common multiple of i and 1.
9
Let t(s) = -s**3 - 8*s**2 - 8*s - 4. Let l be t(-7). What is the common denominator of (-2 + -52)*l/(-42) and 9/10?
70
Let p = -15 + 7. Find the common denominator of (-477)/(-20) + p/(-20) and -83/2.
4
Calculate the common denominator of 2/(2/25) - 1 and 21/13.
13
Let x(z) = -z**2 - 11*z - 24. Calculate the least common multiple of x(-7) and 74.
148
Calculate the common denominator of -35/18 and (((-328)/(-15))/(-4))/((-4)/(-5)).
18
Suppose -5*f = 3*r - 39, 2*r - 15 = -3*f + 3*r. Suppose -2*d + 9 - 5 = 0. Suppose -d = 5*z - 12. What is the least common multiple of z and f?
6
Let r(p) = 5*p**2 + 2*p + 1. Let i be (-36)/(-21) - 2/(-7). Let c be (-1 + (i - 2))*1. Calculate the least common multiple of 6 and r(c).
12
Suppose 0 = -o, 4*f + o + 2840 = 4*o. Let p = -243661 - -2199319/9. Let v = f + p. Calculate the common denominator of v and -54/7.
63
Suppose -4*b + 15 = -b. Suppose -21 = 4*j - 3*w - 170, -2*w = -3*j + 111. Suppose 0 = 5*k - 0*k - j. Calculate the lowest common multiple of b and k.
35
Let s be 3114*((-2)/(-3) - 0). Let z = s + -12307/6. What is the common denominator of (-309)/(-9)*3/(-10) and z?
30
Let h be 1/(-2*(-2)/(-4)). Calculate the common denominator of h*1 - (-214)/(-20) and -11/3.
30
Calculate the common denominator of 121/10 and 1590/96*3/(-15).
80
Let g = 1942 - 7807/4. Find the common denominator of 30/(-22) - 48/(-32) and g.
44
Let m = 31708/15 - 2113. Calculate the common denominator of 3/2 and m.
30
Suppose -3*s + c = -36 - 31, -113 = -5*s + 3*c. Calculate the lowest common multiple of s and 20.
220
Let g(u) = -u**3 + 5*u**2 + 2*u - 4. Let o be g(4). Let z = -41/2 + o. Calculate the common denominator of 111/22 and z.
22
Let j = 125797/24 + -5244. Find the common denominator of -79/24 and j.
24
Let y be (106140/14)/((-99)/(-63)). Let m = -4820 + y. Calculate the common denominator of m and 61/2.
22
Suppose k = 2*k - 3. What is the common denominator of 81/20 and 1/k + (-1132)/(-96)?
40
What is the smallest common multiple of 16 and (-3)/6 - (-21)/2?
80
Let x(i) = -i**2 - 12*i - 6. What is the least common multiple of x(-10) and 6?
42
Suppose 3*r = 15, 0*r - 345 = -5*l - r. Calculate the smallest common multiple of 22 and l.
748
Let a = -18/49 - -4051/490. Let b be -2 + 4/4*-2. Calculate the common denominator of a and (300/(-16))/(6/b).
10
Let r = 38 + -28. Calculate the smallest common multiple of r and 50.
50
Let q(a) = -a + 4. Let n be q(4). What is the common denominator of -24 and n + (-1)/4 + -17?
4
Let y be (1/2)/(3/462). What is the common denominator of 67/12 and y/(-8) - (1 + -3)?
24
Let q be 2 + (-74)/(-32)*-398. Suppose -3235 = -4*l + 453. Let f = q + l. Find the common denominator of -77/20 and f.
40
Suppose -x = -4451 + 923. Let v = x + -31808/9. What is the common denominator of 25/4 and v?
36
Let m = 1421/3294 + -41/61. Find the common denominator of -64/15 and m.
270
Let p = 171/407 - 13/111. Find the common denominator of 29/12 and p.
132
Let m = 12 + -7. Let u = 6 + -18. Let f = 23 + u. What is the lowest common multiple of m and f?
55
Let o = 1/40 + 869/40. Let r be 2 - 1 - 3444/(-5). Let g = -27247/40 + r. Calculate the common denominator of g and o.
8
Let d(v) = -v**2 + 7*v - 8. Let s be d(6). Let w = -5 - -14. What is the smallest common multiple of (-1 - 0)/(s/12) and w?
18
Calculate the smallest common multiple of 2 and (-78)/(-10) + 7/35.
8
Let f = 95/2 + -123/4. Let p be (1/(-2))/(4/72). What is the common denominator of (-415)/126 - 2/p and f?
28
Suppose 5*z = -o - 22, z + 6 = 5*o - 3*z. Find the common denominator of ((-31)/6)/(3/(-9)) and o/(-8) + 322/(-40).
10
Let f = 10 - 7. Suppose 4*k = -0*k. Suppose k = f*r - 4 - 2. Calculate the smallest common multiple of r and 6.
6
Let p = 8/229 - -3166/1145. Let y = p + -187/40. What is the common denominator of (-32)/(-11) - (-1)/(-1) and y?
88
Let v(t) = 4*t**2 + 2 - 2*t + 0*t**2 - 2*t. Calculate the lowest common multiple of v(2) and 10.
10
Let c = 1/351 - 1873/351. Find the common denominator of 97/8 and c.
24
Let x(t) = -3*t**3 - 1. Let y be x(1). What is the common denominator of 69/4 and ((-10)/y)/(14/46)?
28
Let b be 0 - (1262/4 - 1). Let y = b - -293. What is the common denominator of y and 65/14?
14
Find the common denominator of (-575)/(-105) - 1/3 and -25/3.
21
Let j = -3833/9 - -425. Calculate the common denominator of j and 2 - -2 - (-185)/15.
9
Suppose 22 = 2*l + h - 20, -95 = -5*l - 5*h. Let s = l + -9. What is the smallest common multiple of s and 20?
140
Let t be -3*(-2 - (-1 + 1)). Let a be (t/(-9))/((-1)/(-6)). Let g = a - -6. What is the least common multiple of g and 18?
18
Let n(q) = q**2 - q - 3. Let b = 3 + 9. Let d = 20 - b. What is the lowest common multiple of d and n(4)?
72
Let u be (-32)/20 + 4/(-10). Calculate the smallest common multiple of (-3)/((-1)/(-6)*u) and 9.
9
Suppose 5*f - 114 = 1. Let o = f + -16. Suppose -o*w + 2*w - j = -6, -2*j = 3*w + 2. Calculate the least common multiple of w and 4.
4
Let b = -131350657087/1656 + 79318017. Let u = 7/414 + b. What is the common denominator of u and 31/4?
8
Let q = -48362/3297 - -2/1099. Let w = -2871/520 - -42/65. What is the common denominator of w and q?
24
Let h be 128/20 - (-2)/(-5). Let r = 9 - h. Calculate the smallest common multiple of (2 + -3 - 0) + 3 and r.
6
Suppose 3*k = 3 + 9. Suppose 9 = -4*h + 65. Let l = h + -2. What is the least common multiple of k and l?
12
Let i(p) = -p + 1. Let r be i(-2). Suppose b - 5*z - 15 = 2*b, r*z + 3 = 0. What is the common denominator of -69/20 and (-1)/b*106/2?
20
Let n = 11531/1435 - -22/205. Let m = 10727/10 + -1083. Calculate the common denominator of m and n.
70
Let y(f) = -f**2 + 5*f - 2. Let o be (-1)/5 - (-81)/5. Suppose 2*w = -5*x - w + 48, 0 = -4*w - o. What is the least common multiple of x and y(2)?
12
Let r be (6/(-1099))/(3/21). Let w = -1823/2512 - r. What is the common denominator of 19/8 and w?
16
Let t = -442907/10014531 - -2/40219. Let m = t - 4532/747. Calculate the common denominator of 570/(-35)*2/(-4) and m.
63
Let t = 359/7 - 51. Let r = t + -349/21. Find the common denominator of r and -85/8.
24
Let b = -6 - -16. Suppose 2*x = j + 21, -b - 40 = -5*x + 2*j. What is the lowest common multiple of x and 4?
8
Suppose 3*b + 1 = 4. Let u(j) = 8*j**2 + 1. Let g(c) = -9*c. Calculate the least common multiple of u(b) and g(-1).
9
Let d(v) = v + 5. Let k be d(-3). Supp