 = -31680583 + 443332067/14. Let s = k - -13999. Calculate the common denominator of -99/16 and s.
112
Suppose 4*j = 3*j + 5*w + 27, -j + 77 = 5*w. Calculate the smallest common multiple of j and 22.
572
Calculate the common denominator of 149/6 and ((-114)/(-8) + 0)/(-4).
48
Calculate the smallest common multiple of 30 and 3/(-9) + 39/9.
60
Suppose 5*y + 15 = 0, -3*x - 11 - 34 = -y. Calculate the common denominator of x and -13/6.
6
Suppose 10 = 2*n - n - x, -5*x - 10 = 0. Calculate the lowest common multiple of n and 4.
8
Let r be (-172362)/(-32832) - 2/(-9). Let i = -21/608 + r. What is the common denominator of -49/20 and i?
80
Let h = 34 + -20. Suppose -5*y = -j + 32, 2*j = -5*y + 19 + 15. Calculate the lowest common multiple of j and h.
154
Let s(t) = t**3 - t**2 + t + 1. What is the least common multiple of 2 + (-3 - -1) + 4 and s(0)?
4
Let w(a) = -a + 10. Let d be w(10). Suppose -3*x = i - 7*x - 24, d = 3*i + x - 7. What is the least common multiple of 12 and i?
12
Let w be 1*(-621 - (0 - 2)). Let j = 1311/2 + w. Find the common denominator of j and -47/10.
10
Let x = -17/3 - -6. Calculate the common denominator of (-254)/(-42) - (-4)/(-3) and x.
21
What is the smallest common multiple of ((-1)/(-2)*-3)/(9/(-36)) and 160?
480
Let u(s) = 6*s**2 + s. Let b be u(-1). Suppose b*t + 0*t - 40 = 0. Calculate the lowest common multiple of 16 and t.
16
Let q(d) = d**3 - 6*d**2 + 2*d - 7. What is the lowest common multiple of q(6) and 9?
45
Let p(f) = -f**2 - 9*f + 14. What is the lowest common multiple of 1 and p(-10)?
4
Find the common denominator of -4 - ((-12)/5 - 2) and 139/18.
90
Let l(o) = 2*o**2 + 6*o + 6. Calculate the least common multiple of (-18)/3*(-1 + 0) and l(-4).
42
Suppose 0 = 3*c - 9 - 9. Calculate the common denominator of c and -71/10.
10
Suppose -2*n + 4*c - 7 = 1, 0 = 2*n + 4*c. Suppose -2*u + 196 = 52. What is the common denominator of -18/13 and n/(-9) + 173/u?
104
Let q = 395 + -565. Find the common denominator of -111/14 and (q/105)/(8/(-6)).
14
Let s be 114/18 - 2/6. Let x = s - 2. Calculate the smallest common multiple of x and 16.
16
Suppose 4*k + 12 = 2*z - 0*k, 5*z + 3*k - 30 = 0. Calculate the lowest common multiple of z and 3.
6
Calculate the common denominator of 43/18 and (-559)/28 - (-30)/(-105).
36
Let f be ((-49)/2)/((-93)/(-6)). Let n be (9/6)/((-310)/833). Let v = f - n. What is the common denominator of v and -13/2?
20
Suppose -292 = m - 2*m. Let q = m - 2007/7. Let x = -18571/9 - -2070. Calculate the common denominator of q and x.
63
Suppose 8*i - 5*i - 30 = 0. Calculate the lowest common multiple of 3 and i.
30
Calculate the common denominator of -27/8 and ((-2)/20)/(4/(-488)).
40
Suppose -g - 3*g = 0. Suppose 5*j + 8 - 43 = g. Suppose -2*y = -w - 17, w + 0*w = 1. Calculate the lowest common multiple of j and y.
63
Let k(l) = l**3 - 5*l**2 + 5*l + 5. What is the smallest common multiple of k(4) and 1?
9
Suppose -k = k + w + 3, w = -k + 1. Calculate the common denominator of 8/12*26/k and 69/2.
6
Suppose 0 = 4*v + 7 + 9. What is the smallest common multiple of 4 and (v/(-10))/((-2)/(-5))?
4
Let t = 1774 + -31879/18. Suppose 0*n - f = 3*n - 54, 15 = 5*f. Calculate the common denominator of t and -13*(n/10 - 1).
90
Let h(i) = 39*i**2 + i - 5. Let q be 1/(2/(-4)) - 2. Let m be h(q). Calculate the common denominator of m/(-10)*2/10 and 69/16.
80
Let j = 2/1112695 + -6705767691/2225390. Let u = j - -3009. What is the common denominator of 47/18 and u?
90
Let a(f) = f + 6. Suppose q - 2*s - 8 = 0, 2*q - s + 0*s - 4 = 0. Calculate the smallest common multiple of 3 and a(q).
6
Let f = -20927/30 - -3442/5. Let n = -559/150 + 39/25. Find the common denominator of f and n.
6
Let a(m) = -2*m + 8. Suppose 0 = -2*v - 4 - 10. Calculate the lowest common multiple of a(v) and 18.
198
Calculate the common denominator of ((1 - -2) + 171)*(-4)/16 and 15/22.
22
Let w = -5 - -16. Calculate the common denominator of 23/12 and 2/w - (-1371)/(-220).
60
What is the least common multiple of 59*42/27 + (-4)/(-18) and 22?
1012
Let c(l) = -4 - 4 + 0 + 2 - 3*l. What is the least common multiple of 16 and c(-6)?
48
Let n = 2 + -1. What is the smallest common multiple of (12 - -1) + (-10)/5 and n?
11
Find the common denominator of -3/10 and 39/30 + (-1)/(-5).
10
Let x(b) = -b**3 - 3*b**2 + 5*b - 2. Let v be x(3). What is the common denominator of v/((1 + -2)*2) and 69/4?
4
Let b = 7523885837096851/134310 - 56018806031. Let o = b + 2/13431. What is the common denominator of o and 95/22?
110
Let i = -55783619/64978 + 3/32489. Let o = 839 + i. Find the common denominator of -19/11 and o.
22
Let i(v) = -36*v + 6. Let g be i(3). What is the common denominator of (-135)/48 + (1 - -1) and (3/132)/(1/g)?
176
Let d be 4/18 + 711/81 + 10. Suppose 9 = q + 2*q, -4*p + q + 109 = 0. Let i = p - d. What is the smallest common multiple of 3 and i?
9
Calculate the common denominator of (-4)/(-30) + (-7794)/3780 and -13/20.
140
Find the common denominator of -43 and 2/(-10)*3 - (-540)/(-75).
5
Suppose -r - 1 - 5 = 0. Let i be (-2 + r)/((-10)/5). Calculate the common denominator of (-202)/i*5/(-45) and 11/8.
72
Let f(m) = -m**3 + 4*m**2 - 2*m + 4. Let l be f(3). Let p = -2 + l. Suppose -p*n - 19 + 99 = 0. What is the smallest common multiple of 20 and n?
80
Let o = -2/1295 + 55721/23310. Let h = 159811/20 - 7995. Find the common denominator of o and h.
180
Suppose 5*h + 32 = 7*h. What is the smallest common multiple of h and 20?
80
Calculate the common denominator of -24/5 and 395/(-12)*(-3)/10.
40
Suppose 0 = 4*p + 5*t - 73, 3*t - 75 = -2*p - 3*p. What is the lowest common multiple of 3 and p?
12
Let z be ((-12)/(-6))/((-4)/46). Let a = 37 + z. Suppose -y - 2*r = -a, 0*y = -3*y + r + 28. Calculate the smallest common multiple of 20 and y.
20
Let k = -26 + 32. Calculate the lowest common multiple of k and 16.
48
Let a(v) = -v**3 + 4*v**2 + v + 2. What is the lowest common multiple of a(4) and 5?
30
Let l(t) = t**2 + t + 4. Let f be l(0). Suppose -2*g - 3 = f*z - 49, 0 = g + 5. Calculate the smallest common multiple of -1 - (1 + -2)*23 and z.
154
Let w = 36209/118236 - 55/177. Let m = 23353/6012 - w. Calculate the common denominator of 133/6 and m.
18
Let o = -311/2 - -2827/18. What is the common denominator of 167/30 and o?
90
Suppose -171 + 43 = -8*s. Calculate the smallest common multiple of (-2)/(-9) - 102/(-27) and s.
16
Calculate the lowest common multiple of ((8/10)/(2/5))/1 and 5.
10
Let m = -6 + 9. Let o = 21 + -15. What is the least common multiple of m and o?
6
Let b = 21 - 236/11. What is the common denominator of 51/11 and b?
11
Let o = 43 - 31. Suppose 0 = -0*c + 2*c - o. Suppose 2 = j - 4*d, -2*d = -3*j + 21 + 25. Calculate the lowest common multiple of j and c.
18
Let d be 2*1*(-2 - -3). Suppose 6*w = d*w + 88. Suppose 2*m + 0*m = 28. Calculate the smallest common multiple of m and w.
154
Calculate the common denominator of 69/10 and (318/24)/(7/(-4)).
70
Let i be (-53751352264625)/18080849580*(-2)/5492. Let o = -3/2410779944 - i. Let j = 1/1373 - o. What is the common denominator of j and -17/22?
132
Find the common denominator of 27/22 and 2/5 + 149/(-110).
22
Let s(h) = -h + 2*h**2 + 15*h**3 - 5*h**2 + 2 + 5*h**3. Let j be s(2). Find the common denominator of j/28 + 2/7 and 109/10.
70
Let b(t) = 29*t**3 - t**2 + t. Let f be b(2). What is the common denominator of -115/12 and f/40 + (3 - 0)?
12
Let z = -36489/7 + 5221. What is the common denominator of -56/3 and z?
21
Calculate the common denominator of 29/4 and (-16)/(-6)*(-156)/40.
20
Suppose 5*r = r + 4. Let n = -1 + r. Suppose n = -5*h - 2*l + 46, -35 = -2*h - 4*l - 7. What is the lowest common multiple of 12 and h?
24
Let r = -411/272 - -11/34. Find the common denominator of r and 101/64.
64
What is the least common multiple of 14 and (-44)/(-3) + 4*1/(-6)?
14
Let p be (1/(-4))/(7/203894). Let z = p + 7276. Calculate the common denominator of -19/8 and z.
56
Let u be -1 - ((-699165)/(-48) - 1). Let p be 3/12*-2*-29122. Let y = u + p. Find the common denominator of -15/22 and y.
176
Let q = 50 - 233/4. What is the common denominator of 53/16 and q?
16
Let y(g) = g**2 + 5*g + 2. Let j be y(-3). Let q(s) = s**2 + 4*s + 6. What is the lowest common multiple of q(j) and 20?
60
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