the common denominator of u and -91/12.
12
Let w be (-4)/8 - 440/(-13). Let h = w + -11/13. Find the common denominator of -61/10 and h.
10
Let g be (-11)/(-44) + (-14377)/6800. Let l = -22/425 - g. What is the common denominator of l and 51/22?
176
Let t(s) = s - 2. Let x be t(2). Let q be x - -2 - 0/(-6). Suppose 3*f - 39 = -3*h, 3*f - 21 - q = -h. Calculate the least common multiple of 2 and h.
8
Let z = -75978/5 - -71874683/4730. Find the common denominator of z and -5/4.
1892
Suppose 120 = y + 5*y. Let v = -49 + 50. What is the smallest common multiple of -1*(-2)/(v + 0) and y?
20
Let u = 346176598 + -20768982121/60. Let b = u + -26895. What is the common denominator of b and -77/8?
120
Suppose -10 + 4 = 2*m + 4*i, 8 = -2*i. Calculate the smallest common multiple of 1016 and m.
5080
Suppose -z - 4*z + 230 = 0. Let m be 114/14*z/(-12). Let w = m + 1041/56. Find the common denominator of w and -46/9.
72
Let f = 1251/56 - 193/8. Find the common denominator of f and -79/126.
126
Let i = 1/71 + 918/355. Calculate the common denominator of i and -151/240.
240
Suppose -7*u + 2 = -5*u. Let c = -11 - u. Let p = 19 + c. What is the least common multiple of 11 and p?
77
Calculate the common denominator of (-1785)/(-126) - (1 - -1) and -83/120.
120
Suppose -z = -95 - 50. What is the smallest common multiple of z and 1?
145
Let t be (((-7)/(-2))/(-7))/(2/(-52)). Suppose -t - 9 = -f. Calculate the least common multiple of f and 22.
22
Suppose 3*h = s + 37, h - 1 = -2. What is the common denominator of s/30 + 47/33 + -2 and -3/35?
385
Let r(s) = 2*s**2 + 5*s + 6. Let v be r(6). What is the common denominator of v/28*2/(-2) and (1/(-4))/1 + (-30)/2?
28
Suppose -2*w = -w - 2. Let h(u) = u**2 + 2*u. Let a be h(2). Suppose 9 = -a*q + 41. Calculate the smallest common multiple of q and w.
4
Let o(y) be the second derivative of -y**4/12 + 3*y**3/2 + 4*y**2 - y. Suppose 0 = 5*v + 7 - 47. What is the least common multiple of o(v) and 6?
48
Let j = -951553/812 - 62795/58. Let s = j - -2256. Let d = -9443/1719 - 45/382. What is the common denominator of d and s?
252
Let m = 371/5821 - -173883313/116420. Let r = -1493 + m. Let d = -1/496 - 22805/5456. Calculate the common denominator of d and r.
220
Let v = -8/387 + -19205/774. Suppose 0 = -5*b + 3*q + 2*q + 35, 5*b + 4*q = -10. What is the common denominator of v and 7/b*(3/11 + 0)?
66
Suppose 11*k = -74 + 965. What is the least common multiple of 162 and k?
162
Let b = 1102 - 3367/3. Let l be 3 + 3/(-57)*-8681. Let d = l - 460. Calculate the common denominator of b and d.
57
Let l = -581/2 - -312. Suppose -2*h = -2*i + 9 + 1, -4*h = -3*i + 23. What is the common denominator of 1 + ((-29)/11)/((-4)/h) and l?
22
Let x(q) = q**3 - 9*q**2 + 9*q + 2. Suppose -6 = -j - 0. Calculate the least common multiple of j and x(8).
30
Let f(g) = 3*g**2 + 3*g + 1. Let s be f(-1). What is the smallest common multiple of 15 and s + -1 - (-9 + 9) - -27?
135
Find the common denominator of (-10)/21 + 4 + -4 + 2 and 27/28.
84
Let o be -1 + (1 + 1 - 3). What is the least common multiple of 50 and (o - (-3)/3) + 2?
50
Let s = -1 - 3. Let t = 7 - s. What is the lowest common multiple of t and 9?
99
Let g be (8/(-6))/(31/(-36)). Let s be (-69712)/(-14880) - (-2)/(-5). Let a = g + s. Calculate the common denominator of a and 45/4.
12
Let r(m) = -m**3 - 6*m**2 - m + 5. Let f be r(-5). Let k = f - -23. Suppose -28 = 9*b - 13*b. Calculate the least common multiple of k and b.
56
Suppose 2*t = -3*p + 26, -3*t + 6 + 6 = 0. Suppose 2*c = -6, b - p*b - 3*c = -71. Calculate the least common multiple of b and 18.
144
Calculate the smallest common multiple of 2 and (-2)/4*-5 - 7/(-14).
6
Let i be (-537514)/63252 - 2/(-9). Let f = -5/502 + i. What is the common denominator of f and 8/6*69/10?
35
Let b(a) = a**3 - 7*a**2 + 20*a - 8. Calculate the smallest common multiple of b(3) and 12.
48
Suppose -19 = -5*v + 2*n, 0 = 4*v - 0*n - 2*n - 16. Suppose -x + 1 = -v. Suppose -2*m = -6*m + x. Calculate the least common multiple of 7 and m.
7
Let u be ((-158)/24)/(2/491). Let x = -1617 - u. What is the common denominator of x and 10/27?
216
Let g(z) = z**3 + z**2 + z + 5. Let m(p) = -p + 8. Let u be m(8). Let k be g(u). Let a = 2 + k. Calculate the lowest common multiple of a and 6.
42
Suppose -2*l + 141 = 1. Suppose 5*p + 5*h = -l, 2*h - 4*h - 55 = 5*p. What is the common denominator of 4/2 + 213/p and -91/6?
6
Let x = 340 + -333. Calculate the lowest common multiple of 1 and x.
7
Suppose -7*d + 1194 = -2523. Let r = d - 2717/5. Calculate the common denominator of r and -43/27.
135
Let n = 11108731/530904 - -1/16088. Let q = n - 309/11. Calculate the common denominator of (-11 - -5) + (-116)/12 and q.
6
Let j = -27/268 + -7503/1340. Calculate the common denominator of j and 15/83.
830
Let s(r) = -r**3 + 5*r**2 + 16*r + 4. Let k(n) be the second derivative of 29*n**5/20 - n**2/2 + n. What is the lowest common multiple of k(1) and s(7)?
252
What is the least common multiple of 409 and (-176)/396 - -2*(-201)/(-54)?
2863
Let r = 583 - 561. What is the smallest common multiple of r and 7?
154
Suppose 0 = 2*d + 4*g - 152, 2*g - 20 = -3*g. Find the common denominator of d/10*2/(-16) and -1/2.
20
Let g = 2492 + -2212. What is the smallest common multiple of g and 252?
2520
Let c = -2/57129 + 666563/1656741. What is the common denominator of 34/3 and c?
87
Suppose -5*u - 30 = 20. Find the common denominator of (-1 - -1) + 2 + (-51)/u and 39/8.
40
Let t(v) = 5*v**2 + 3*v - 3. Calculate the lowest common multiple of (66/(-55))/3 + 94/10 and t(-3).
99
What is the common denominator of 31/1599 and ((-134)/4)/((-42)/4)?
11193
Let f = 1/14974 - -883439/404298. Calculate the common denominator of f and 2/11 - (-5320)/(-825).
135
Suppose -5*s = -2*h - 26, -5*s + 3*h + 33 = 4. Suppose -2*k = -2*y, 0 - 12 = 2*y - 5*k. Suppose 2*u = 48 - y. Calculate the lowest common multiple of u and s.
44
Let w = -31/5781 + -509857/5179776. Find the common denominator of 81/2 and w.
896
Let x be 0 + 0 + -1 + 10. Let o = x + -6. Suppose 4*f - 2*a - 40 = 0, -49*f + 48*f = -a - 9. Calculate the smallest common multiple of o and f.
33
Let j(b) = 4*b**2 + 3*b - 1. Let w be j(2). Let z = 26 - w. Let f = 25 - z. Calculate the least common multiple of f and 16.
80
Suppose -2*h + 3*h - 900 = -3*m, -5*h - 1821 = -6*m. Calculate the least common multiple of 9 and m.
2709
Suppose 0 = -p + 5*a - 19, -3*a - 30 = 6*p - 2*p. Let b = 22 + p. Suppose 5*g = 37 + b. What is the smallest common multiple of 16 and g?
80
Let w = 32261/6 - 5398. Let x = 8 - 2. Find the common denominator of (-609)/(-220) + x/33 and w.
60
Suppose 1680 = -10*k + 3*k. Let j = -296561/6978 + -2/3489. Find the common denominator of j and (-1443)/k - 2/10.
16
Let i = 29681/6 + -4964. Find the common denominator of -38/21 and i.
42
Let b(g) = 2*g**2 - 3*g - 3. Let f be b(-1). Suppose 4*m - 9 + 1 = 0, -5*u - 35 = -5*m. What is the common denominator of (f*1)/2 + (-2170)/84 and u?
6
Let f = -760517/388570 - -3/38857. Find the common denominator of 79/56 and f.
280
Let r = 84 - 345/4. What is the common denominator of -35/9 and r?
36
Calculate the least common multiple of 15 and (-1166)/(-26) + (-120)/(-780).
45
Find the common denominator of 741/(-12901)*(-3)/6 and -53/14.
1358
Let m(x) = -2*x - 5. Suppose 0 = 3*b + 62 - 32. Calculate the least common multiple of m(b) and 33.
165
Let g be 1873050/(-536480) + 3/7. Let j = g + 1/3353. Find the common denominator of j and 3/16.
16
Suppose 0 = -10*v + 12*v - 4. Suppose -u - q - 13 = 0, 4*u + v*q + 42 = -0*q. What is the lowest common multiple of 10 and (-69)/(-9) - u/6?
90
Let o be 0 + -14 + -2 - 0. Let g(w) = w**2 + 13*w - 46. Calculate the least common multiple of 75/2*o/(-20) and g(3).
30
Let t = 49 + -40. What is the common denominator of 10/7 and (12/80*25)/(t/(-26))?
42
Let s(u) = -u**2 + 8*u - 12. Let c be s(9). Let k = c + 69. Suppose 0 = 5*o - 4*o - 2*v - 12, 3*o = 2*v + k. Calculate the smallest common multiple of o and 9.
18
Suppose 9 = -c + 4. Let w be (-2)/3 - c/3. Suppose 15 = 2*a - w. Calculate the least common multiple of a and 7.
56
Let a(j) = -j**2 - 6*j + 2. Let t be a(-4). Let k be (26/(-8))/(95/t). Let y = 1741/76 - k. What is the common denominator of y and 29/6?
12
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