125/12 and g.
48
Let d = -45 - -429/8. Let g(z) = z**3 - 10*z**2 + 13*z - 9. Let w be g(9). Let i = w - -3. Find the common denominator of d and i.
8
Let g(w) = 6*w - 6. Suppose 4*p = -3*t - 8, -3*p - 5 = -0*p + 2*t. Let q(s) = -s. Let r(z) = p*g(z) + 5*q(z). What is the least common multiple of 4 and r(9)?
12
Let m(i) = 4*i**2 - 4*i + 2. Let f be m(2). What is the lowest common multiple of 11 and ((-45)/f)/(1/(-2))?
99
Suppose 2*p = -3*r + 1 + 15, 14 = 2*r + 2*p. Suppose r*n + 3*b + 19 = -62, -2*n - 69 = -b. Find the common denominator of -39/10 and 10/(-8)*n/(-8).
40
Let j be (-2)/(-4) - (-1276)/8. What is the common denominator of -125/6 and 1 - 0 - 488/j?
60
Suppose -6 = 3*a + 3*q - 27, 3*q = 4*a - 49. What is the least common multiple of 14 and a?
70
Let j = -239/10 - 68/5. Find the common denominator of -71/10 and j.
10
Suppose 3*v - 4*q = 21, -v - v - q + 14 = 0. Calculate the common denominator of (-2)/(-7)*20 - 0 and 78/20 - (v - 4).
70
Let n be (2/5)/1*10. Suppose n = -x - x. What is the common denominator of x + (-2)/((-60)/309) and 13/22?
110
Suppose 3*n - 64 = -n. Let d(x) = x**3 + 5*x**2 - 8*x - 10. Calculate the least common multiple of n and d(-6).
16
Find the common denominator of (522/24 + 2)*(-2)/(-5) and -28.
2
Let d be 111/15 - (-6)/10. Calculate the least common multiple of 6/10 - d/(-20) and 6.
6
Let c = 2175693/558908 + 2/19961. Find the common denominator of c and 3/14.
28
Let n be (-2)/(-4) + (-555)/(-6). Let x be ((-6)/9)/((-1)/n). What is the common denominator of (-2)/9 - x/(-36) and 55/6?
6
Let r = -1/793 - 5541/7930. Let j = 4455/7 + -634. What is the common denominator of r and j?
70
Calculate the common denominator of -3/4 and (-1377)/238 - (-4)/(-14).
28
Suppose -s = -3*x - 5*s - 16, -s = 5*x + 21. Let p be 6/(-45)*162177/x. Let f = p + -5414. What is the common denominator of f and 137/18?
90
Suppose 2*w - 273 = -1671. Let d = -2063/3 - w. What is the common denominator of 32/7 and d?
21
Let y be (-18609)/18*-1 + -1. Let r = y + -1044. What is the common denominator of -63/5 and r?
30
Suppose -2*k = -3 - 1. Suppose -30 - 17 = 5*t - 4*l, -2*t - 17 = -l. Calculate the common denominator of k/t - (-526)/(-21) and -3/5.
15
Suppose 0 = -x + 480 - 5990. Let o be x/(-36) + (-6)/9. Let g = o + -869/6. Find the common denominator of g and 127/6.
18
Let s(l) = -l - 8. Let f be s(6). Calculate the common denominator of 75/4 and (-291)/f + (-2)/7.
4
Let i = 54/65 - -1823/1170. Let y = -542/13 - -4739/104. What is the common denominator of i and y?
72
Let x(j) = -10*j**2 - 13. Let u(o) = -3*o**2 - 4. Let t(q) = -7*u(q) + 2*x(q). Calculate the smallest common multiple of t(0) and 9.
18
Let z = 100/477 - -2/159. Calculate the common denominator of (12/27 + 1)*-12 and z.
9
Let h = -19 + 13. Suppose -19 = -3*t + 11. What is the lowest common multiple of t and 18*(-1 + (-9)/h)?
90
Let w be 116/(-14) - 4/(-14). Let p = -1 - w. Suppose -5*x + 3 = -p. What is the lowest common multiple of x and 22?
22
Suppose 242 = -3*l + 5*l. Find the common denominator of 5/10 + l/(-10) and 2 + -1 + (-30)/(-7).
35
Find the common denominator of (-62)/(-20) + (-224)/(-35) + -7 and -49/5.
10
What is the common denominator of -115/12 and (1 - (-396)/(-16)) + 2?
12
Suppose -4*n - 2*p = -10 + 4, 5*n - p = 11. Let h(f) = 4*f - 2. Calculate the smallest common multiple of h(n) and 22.
66
Suppose 10 = 2*l - 4*h - 4, 3*l + 12 = -5*h. What is the common denominator of ((-2)/(-18))/(2/118) and 272/(-12) - l*2?
9
Let x = 20 - 14. What is the lowest common multiple of 6 and x?
6
Suppose -20 = -3*j + 2*j. Calculate the smallest common multiple of 18 and j.
180
Suppose -3*j + 3 = -3. Suppose 8 = j*k, -5*y + 5 = -2*k - 22. What is the lowest common multiple of y and 2?
14
Let o be ((-3)/2 + -1)*-2. Suppose 0 = -2*n + 2*d + 32, 3*n - 7 - 43 = o*d. Calculate the common denominator of 50/7 and n.
7
Let g be -2 - 1*(-1186)/594. Let y be (3723/540)/(66/68). Let x = y + g. Find the common denominator of 6/7 and x.
70
Let k(m) be the first derivative of m**4/4 + 4*m**3/3 + 3*m**2 + 4*m - 1. Let o be k(-4). Find the common denominator of (-126)/o*(-2)/(-12) and -99/14.
140
Suppose 0 = k + m + 7, -m - 17 = 5*k - 5*m. Let a = k + 0. Calculate the least common multiple of (8/a)/(4/(-10)) and 6.
12
Suppose 2*h - 16 = -4*x, -h + 22 = 5*x + 2*h. Suppose -x*i + i + 8 = 0. Calculate the smallest common multiple of 1 and i.
8
Calculate the lowest common multiple of (-1)/((-2 - (-18)/(-16)) + 3) and 110.
440
Let g(h) = -h**3 - 5*h**2 - h - 4. Let r be g(-5). Let u be (r/(-20))/((-2)/(-44285)). Let w = -1105 - u. Calculate the common denominator of 8/11 and w.
88
Suppose -15 = -4*h + h. Let q(g) = g**3 - 3*g**2 - 8*g + 4. Calculate the lowest common multiple of q(h) and 12.
84
Let k(q) = -2*q - 4. Let a be k(-3). Let r be -996 + (-1 + 2)*a. Let l = r - -6994/7. What is the common denominator of -14/3 and l?
21
Let g = 3 - 5. Let j = 0 - g. Suppose 3*w + j*p - 38 = 0, -3*w + w + 3*p + 8 = 0. What is the smallest common multiple of w and 7?
70
Let v = -1731483/179896 - 2/22487. Let m = -2941/182 - -45/26. Let c = 1053/56 + m. Calculate the common denominator of c and v.
8
Let z = 13 - 6. Let p(g) = g**2 - 2*g + 2. Calculate the smallest common multiple of z and p(2).
14
Let i = 72 + -48. Suppose 0 = -2*y + p + 11, y - 5*y + 4*p = -i. Calculate the lowest common multiple of 2 and y.
10
Let g = 443/3 + -619/4. Let u be ((-2)/606)/(52/18). Let n = 28243/11817 + u. Find the common denominator of n and g.
36
Let i = -1/2493 - -32417/19944. Let n be (-4)/10*(-10)/2. Calculate the common denominator of (22/(-24))/(n/18) and i.
8
Find the common denominator of 0 + (-734)/140 - (-24)/(-60) and -29/20.
140
Calculate the common denominator of 12*(-3)/(-88) + (-8)/2 and -44/3.
66
Let b(d) = d**3 - 6*d**2 + 2*d - 7. Let z be b(6). Calculate the least common multiple of 4 and (12/z)/((-3)/(-10)).
8
Suppose -4*a - 24 = -2*k - k, 0 = -2*k - 5*a - 7. Suppose 0 = k*o - 5*o + 2. Suppose 0 = -o*r + 5*r - 30. Calculate the smallest common multiple of r and 6.
30
Let j(x) = -x**2 + 4*x + 7. What is the least common multiple of 11 and j(4)?
77
Let s = 30 - 45. What is the common denominator of (-9)/s*58/(-4) and 3/(-5) - 2644/(-240)?
60
Suppose -3*r = 2*r + 35. What is the smallest common multiple of 8 and (-9 - r)/(2/(-12))?
24
Let o be (-143)/(-5) + (-12)/(-30). Suppose -2*n + 3 = -o. What is the lowest common multiple of 20 and n?
80
Let u = 587 + -389. What is the common denominator of 7/7 + u/20 and 17/10?
10
Let m = 5182/165 + -542/15. Find the common denominator of m and -4 - ((-231)/12 - 2).
44
Calculate the smallest common multiple of ((-8)/6)/((-5)/165 + 0) and 28.
308
Let k = -288102/5 + 57381. Let o = 26439/110 + k. Calculate the common denominator of -41/14 and o.
154
Let b = 5815/164 + -480/41. Let v = 13/9 - 71/18. Find the common denominator of b and v.
4
Find the common denominator of -44/9 and (55/(-60))/(2/6).
36
Let m(n) = -n**2 + 3*n + 3. Let s be m(3). Suppose s*k - 54 = -0*k. What is the smallest common multiple of 22 and k?
198
Let c(x) = 2*x**2 + 3*x. Suppose 10 = -2*r + 2*b, 5*b - 11 = 4. Let z = r - 2. What is the smallest common multiple of 18 and c(z)?
180
Let i(o) = -2*o**2 - 34*o - 17. Calculate the least common multiple of 12 and i(-16).
60
Let c(z) = z**2 + 2*z - 9. Let b be c(7). Suppose -v = -b + 4. Suppose 2*l = 7*l - v. Calculate the lowest common multiple of l and 8.
40
Let v = -20317/9 + 2260. What is the common denominator of v and 76/3?
9
Let t = 3347 - 13317/4. Find the common denominator of (-1)/2 + (-30)/(-14) and t.
28
Let r(s) = s + 21. Calculate the smallest common multiple of 1 and r(-20).
1
What is the common denominator of 5/(-15) + 1 + 57/(-6) and 7/3?
6
Let t be -140*(1/4 + -1). Suppose -k - 3*n = n + 4, 5*k - 5*n - t = 0. What is the smallest common multiple of 11 and (-1)/(-3) - k/(-6)?
33
Let w be (-6)/(-18) - (-108487)/(-27708). Let d = -3/2309 + w. What is the common denominator of d and 95/4?
12
Let x(k) = -k**3 + 6*k**2 + 8*k - 4. Let w be x(7). Suppose 5 = -z + w*f, f - 25 + 2 = -5*z. What is the smallest common multiple of z and 20?
20
Let w = 13/1123 + -75475/20214. Let x = 2202/13 - 92809/546. Find the common denominator of w and x.
126