4
Let j(d) = d**2 - 13*d + 17. Calculate the lowest common multiple of 2 - 4 - -9 - -2 and j(12).
45
Calculate the common denominator of 113/10 and 69/(-39) - (-2 - -4).
130
Let a(k) = 48*k**2 + 7*k - 5. Suppose -3*h - 9 + 45 = 0. Calculate the lowest common multiple of a(1) and h.
300
Let u be (-2)/2512*-2874 - 4. Let m = -6/157 + u. Find the common denominator of m and 151/18.
36
Let l = -3 + 6. Suppose -53 = l*w + m - 0*m, 3*w + 73 = -5*m. Calculate the common denominator of ((-101)/(-6))/(w/(-12)) and 75/4.
8
Let z = -8/143 + -37871/429. Let a = -2924/33 - z. What is the common denominator of a and -27/13?
143
Suppose -1 = -2*h + h. What is the common denominator of 8/10 - (-219)/270 and h/(-32)*-2*-71?
144
Let r = -1123/2 - -547. Find the common denominator of r and -77/8.
8
What is the common denominator of 95/16 and 12/(-4) + (-140)/72?
144
Let x = 5528 - 49694/9. Find the common denominator of x and 16/9.
9
Suppose -5*s + 73 - 3 = 0. Let l = -4 + 8. Let n(c) = c**3 - 4*c**2 + 4*c - 6. What is the lowest common multiple of n(l) and s?
70
Suppose 4*w - 11 = -3. Let v = 7153 + -100095/14. What is the common denominator of ((-46)/88 - 0)*w and v?
154
Suppose 24 = 23*f - 321. What is the least common multiple of f and 42?
210
Suppose 15 = -5*l + 35. Suppose z + 288 = l*z. Calculate the common denominator of (-3 - 1*z)/(-14) and -25/16.
112
Suppose 3*f + 24 = -0*f. Calculate the common denominator of 15 - (6/f)/(-3) and -1/6.
12
What is the lowest common multiple of 60 and (-115)/23*((-108)/5)/3?
180
Let m be ((-18)/(-10) + -3)*5. What is the lowest common multiple of 22 and 12 + 3/m*0?
132
Let r = -87347/3774 - 14/629. Calculate the common denominator of -35/12 and r.
12
Let j(p) = p**2 + p + 1. Let w = 9 + -10. Calculate the smallest common multiple of 1/(4/(-6) - w) and j(-3).
21
Let w = -32769/16 + 2047. Let q = 3/867002 + 8199671403/3468008. Let m = -2374 + q. What is the common denominator of m and w?
16
What is the common denominator of 96/(-54) - (1 + -1) and -53/4?
36
Let f(w) = -9*w**2 - 1. Let y be f(-1). Let v(i) = i**3 - 3*i**2 + 2*i + 3. Calculate the lowest common multiple of v(3) and (-88)/y + (-3)/(-15).
9
Let v(m) = m**3 + 5*m**2. What is the lowest common multiple of v(-4) and 16?
16
Let l = -13 + 29. Suppose 0*x - 4*x + l = 0. Let p(w) = -3*w**3 + w**2 - w - 1. Calculate the lowest common multiple of x and p(-1).
4
Let r be 4/(24/235425) - -2. Let s = r + -37675. Let j = s + -1602. What is the common denominator of 25/4 and j?
4
Let u(d) be the third derivative of -d**4/24 + 4*d**3/3 + 2*d**2. Calculate the lowest common multiple of u(4) and 14.
28
Let t(i) = 16*i**3 + 3*i**2 - 5*i + 7. Let h be t(-6). Let y = 23118/7 + h. What is the common denominator of (-2)/((-2)/(-78)*3) and y?
7
Let l = 3 - 12. Let g = l + 11. Calculate the lowest common multiple of 1 and g.
2
Suppose 2*b - 5*l = 10 - 3, 0 = 3*b - 5*l - 13. What is the least common multiple of b and 16?
48
Let f be (2/3 - 0)*-3. Let q = 3 + f. Find the common denominator of -23/4 and ((-21)/20)/(-3) - q.
20
Suppose 43 - 15 = 7*r. Calculate the least common multiple of r and 4.
4
Let c = 238858612/35 + -6825005. Let m = c + 2334/5. Calculate the common denominator of 15/8 and m.
56
Suppose 0 = -r + 3*b + 10, -19 - 3 = -5*r + b. Suppose 0 = 3*h - 2*h - 2. Suppose 0 = -r*p + h*p + 40. Calculate the smallest common multiple of p and 18.
180
Suppose -3*y = -8 - 1. Suppose 5*b + 2*i - 67 = -i, -4*b + 5*i = -24. What is the least common multiple of y and b?
33
Suppose -93 = -5*f - 13. Let h be (3*1)/(12/8). Calculate the common denominator of 75/f + -1 + h and 3/8.
16
Let q = 121 + -86. Suppose -3*r - 2*r + q = 0. Let b = -4 + r. Calculate the smallest common multiple of 4 and b.
12
Let m = -4062 + 73217/18. Find the common denominator of 57/16 and m.
144
Let r = -3388/873 - -10/97. Find the common denominator of r and -79/10.
90
Calculate the least common multiple of 70/((-20)/(-4)) - -4 and 22.
198
Let b = -113 + 125. Let i(d) = -d**3 - 5*d**2 + 4*d - 8. Let g be ((-3)/6)/((-1)/(-12)). Calculate the smallest common multiple of i(g) and b.
12
Suppose -6 = 5*f + 9. Calculate the smallest common multiple of 4/24*28*(1 + 2) and (-12)/(1/(4/f)).
112
Let c = 150 + -597/4. What is the common denominator of c and ((-3)/(-7))/(20/(-14))?
20
Suppose -2*u = u. Let b = 22 + u. Calculate the smallest common multiple of b and 16.
176
Let f(q) = -q**3 - q**2 - q - 1. Let b = -20 + 28. What is the lowest common multiple of b and f(-3)?
40
Suppose 15057 = 9*r - 6*r. Suppose 0*h - h = r. Let i = -60277/12 - h. What is the common denominator of i and -41/10?
60
Let g be 1 + (-28)/(-26) + (-6)/(-2). Let v = 42120 - 2190093/52. Let k = v - g. Calculate the common denominator of 37/11 and k.
44
Suppose -4*k = 4*c + 2 - 58, 0 = -c - 2*k + 18. What is the smallest common multiple of c and 11?
110
Suppose 2*j + 2*j = 24. Let u(s) = -s + 2 + 3 + 2. What is the lowest common multiple of u(5) and j?
6
Let x(l) = l**2 - 11*l - 18. Suppose -p = b - 6 - 21, 4*p + 3*b = 109. Suppose -p = -3*h + 8. What is the lowest common multiple of x(13) and h?
24
Suppose 6 = 3*l - u - 2, 2*l = 3*u - 4. Suppose 0 = -5*z + 34 + 11. Calculate the lowest common multiple of z and l.
36
Let j be (117/(-26))/(1/(-10)). What is the common denominator of 55/12 and 779/144 + (-10)/j?
48
Let p = -3673/2 - -1926. Let t = -381/4 + p. Find the common denominator of 81/14 and t.
28
What is the least common multiple of 12 and 2/5 + 432/120?
12
Suppose -5*c - v + 1432 = 0, c - 6*c - 4*v = -1423. Calculate the common denominator of 22/(-110) + (-6)/4 and ((-4)/(-14))/(36/c).
90
Suppose 3*u = 5*u + 22. Let p = u - -16. What is the smallest common multiple of p and 3?
15
Let g(f) = -8*f**2 - 4*f - 3. Let h be g(-2). Let j be (8/(-6))/((-6)/h). Let v(b) = -b. Calculate the least common multiple of 10 and v(j).
30
Suppose m + 5*w - 6979 = 0, 4*m + 7019 = 5*m - 5*w. Let f = 140013/20 - m. Let g = 2487/4 - 6253/10. Find the common denominator of f and g.
20
Let f(j) = j**2 - 6*j - 3. Let y be f(7). What is the smallest common multiple of (-2)/y*(-11 + -7) and 6?
18
Suppose 94 = 15*w + 49. Suppose p + 2 = 6, 3*k - 5*p - 13 = 0. Let g = k - 3. Calculate the smallest common multiple of g and w.
24
Let u = -19 - -22. Suppose 4*i - 2*h - 28 = 3*h, 21 = u*i - 3*h. Let v = -25 - -35. What is the least common multiple of v and i?
70
Let i(x) = -17*x**3 + x**2 - 3*x - 3. Let l be (-16)/9 + 2/(-9). Calculate the common denominator of (-25)/1*l/6 and i(-1).
3
Let w = 4293 - 60131/14. What is the common denominator of w and -33/46?
322
Let l(f) = f**3 - 5*f**2 + 4. Let z(a) = 7*a**2 - 3*a + 3. Let i be z(2). Let t = i + -9. Calculate the smallest common multiple of t and l(5).
16
Let b be (-1)/2*-1*17830. Let u = b + -124881/14. Calculate the common denominator of u and 93/22.
154
Let m = -59 + 6. Let j = m - -82. Suppose -5*s + 21 = -j. What is the smallest common multiple of 6 and s?
30
Calculate the common denominator of ((-12)/(-30))/(32/330) and 29/10.
40
Let b = -3 - -27. What is the lowest common multiple of 3 and b?
24
Suppose 5*x - 16 - 19 = 0. Let b(f) = f**2 + 2*f - 11. What is the least common multiple of b(-5) and x?
28
Let v = 20 - 6. What is the smallest common multiple of v and 20?
140
Let t be (-4)/(-14) - 12/42. Let m = t + -5. Find the common denominator of 62/32 - m/10 and 37/10.
80
Let y = 6233/6 + -1042. Calculate the common denominator of 143/24 and y.
24
Let f = 2/233 - 5399/4660. Calculate the common denominator of (-20)/(-5) - 29/32*-2 and f.
80
Suppose -r - 4*r - 270 = 0. Let f = 3645 + -29243/8. Find the common denominator of f and 3/r*(-1 + -42).
72
Let w(m) = m**2 - 12*m + 1. Let q be w(11). Let k = q + 22. Calculate the least common multiple of k and 10.
60
What is the smallest common multiple of 21/147 - (-54)/14 and 16?
16
Let f(u) = 2*u. Let n be f(1). Suppose -n*r = -2*y - 26, -3*y = -2*r - 0*y + 23. What is the least common multiple of r and 8?
16
Let x(u) = -u**2 - 5*u + 3. Let n be x(-5). Find the common denominator of -11/10 and n - 118/(-24)*-3.
20
Let n(j) = j - 73. Let z be n(0). Let c = z + 43. What is the common denominator of c and 2/(((-8)/14)/1)?
2
Let v be 4/(-16) - 17/(-4). Let f = 4 - v. Suppose 