10
Let r(x) = -x**2 - 8*x - 1. Let l(s) = s**2 + 10*s - 6. Let d be l(-10). Calculate the smallest common multiple of 2 and r(d).
22
Suppose -5*s - i + 75 = 0, -2*i = 3*i - 25. Let f be (-184679)/s - (-10)/5. Let k = f + 13184. What is the common denominator of -43/10 and k?
70
Let p = 10 - 13. What is the common denominator of p/(-2)*(-16)/(-18) and -52/7?
21
Let t(j) = 3*j**2 - 3*j + 2. What is the smallest common multiple of t(3) and 8?
40
Suppose -16 + 72 = 4*m. Suppose 0 = -5*w - 0*w + 110. Calculate the lowest common multiple of m and w.
154
Let y = 5 - -5. Suppose -3*d - 2*q = -y, 2 = 4*d - 3*q - 0*q. What is the least common multiple of 15 and d?
30
Suppose 5*s - 65 = -5*n, s + n = -n + 12. Calculate the lowest common multiple of 4 and s.
28
Let w = -23 - -31. What is the smallest common multiple of w and 10?
40
Find the common denominator of 27/20 and -91*(-2 + (-22)/(-12)).
60
Let p(f) = -f - 2. Let n be p(-2). Suppose -z + 6 - 4 = n. What is the least common multiple of z and 3?
6
Suppose -q + 10*q = 270. What is the least common multiple of q and 2?
30
Suppose 5*k = -o + 3, 0 = -k - 4*o - 5 - 2. What is the least common multiple of 13 and k?
13
Let r(i) be the first derivative of i**4/4 - 7*i**3/3 + 7*i**2/2 - 4. What is the least common multiple of r(6) and 10?
30
Let o = 28 - 30. Let g(t) = 6*t - 1. Let s be g(3). What is the smallest common multiple of 6 and (s - o) + 1 + -2?
18
What is the common denominator of (-3)/(-9) - (-220)/24 and -29/92?
92
Let b = -4618655/16048 - -9781/34. Let p = b + -70/59. Calculate the common denominator of p and 53/14.
112
Let j = 121860/17 + -1785549/238. Let l = j - -2284/7. What is the common denominator of l and -89/4?
28
Let w = -7763 + 139699/18. Let y = -2780 - -27763/10. What is the common denominator of w and y?
90
Let a = 2835 - 45287/16. Calculate the common denominator of a and ((-5)/(-30))/((-4)/159).
16
Let i be (1 + (-11)/7)*-4. Let a = 5/42 - i. Let d = -288/5 - -131/10. What is the common denominator of a and d?
6
Suppose -2*j - 2*j = n - 858, j = -2*n + 1737. Let t be (-12937)/n - (-6)/10. Let m = t + -26/29. Calculate the common denominator of m and 13/20.
60
Let c be (-1)/(-1) + (-582)/52. Let y = c - -1706/117. What is the common denominator of y and -61/20?
180
Find the common denominator of 1/5 and 1*(4 - (-63)/(-15)).
5
Suppose 9*g - 4*g = 990. Let c be g/8 - (-1)/4. Suppose c + 11 = 3*i. Calculate the least common multiple of 2 and i.
12
Let i = 5 + 15. Let y = i + -14. Calculate the lowest common multiple of y and 2.
6
Let o be 4*(2 + -3)/(-2). Suppose -20 = o*q + 5*i, -i = q - 3*q + 4. Suppose -3*b + 15 = -q*b. What is the smallest common multiple of 6 and b?
30
Calculate the least common multiple of 4 and (90/(-5))/(-3 + 1).
36
Let o(a) = 13*a**3 + 2*a**2 - 1. Let d(y) = -y**3 + 0*y + 2 + 0*y + 0*y**3 - 6*y - 7*y**2. Calculate the least common multiple of d(-6) and o(1).
14
Calculate the common denominator of ((-12)/(-176))/(302/148 - 2) and 27/16.
176
Suppose p = 1 + 30. Let c = p - 68. Let g = -19 - c. Calculate the lowest common multiple of g and 18.
18
Let m(f) = f**3 + 5*f**2 - 7*f - 2. Let q be m(-6). Let v = 0 + q. Suppose 0 = 4*g + 7 - 63. What is the smallest common multiple of v and g?
28
What is the lowest common multiple of (-182)/(-8) + -1 + 18/72 and 2?
22
Let g be 16043/6 + (-1 - 2). Let d = -80685863/30210 + g. Let o = -196387/55385 + d. Find the common denominator of o and 25/8.
88
What is the lowest common multiple of 42 and 132/15*5/2?
462
Let b be (1 - 7)*(0 + 3). Find the common denominator of 6/(-4)*(-303)/b and 27/8.
8
Let y = 1191/26 + 22/13. Let i = 151903/6654 - -5/1109. Calculate the common denominator of y and i.
6
Suppose 2*p - 10 = 5*s + 7, -3*p + 4*s = -15. What is the common denominator of (-89)/12 + (2 - p) and (-15)/(-42)*(-486)/(-30)?
84
Suppose 5*m = 4*i - 31, 2*i + 3*m = 62 - 19. Calculate the lowest common multiple of 2 and i.
14
Let m = 14 + -8. What is the lowest common multiple of 4/14 - (-10 + 36/(-21)) and m?
12
Let j = 225329/23 + -9803. Let k = 835/184 - j. Let g = 67597/6 + -11291. Find the common denominator of g and k.
24
Let b = -7263/10 + 728. Let u(a) = -a**3 + 7*a**2 - 4*a - 8. Let o be u(6). Calculate the common denominator of b and o/(-2) - 226/(-32).
80
Let h = 7/11 - 771/88. Calculate the common denominator of h and 33/2.
8
Let k = 29 + -19. Calculate the least common multiple of 0 + (-2)/17 + (-936)/(-153) and k.
30
Suppose g + g = 10. Suppose 3*o - 2 = -g*y + 21, 5*y = 2*o + 18. Calculate the least common multiple of 2 and ((-15)/(-2))/(3/y).
10
Suppose 0 = -6*h + 3*h - 6. Find the common denominator of 1 + 0 - (-190)/(-16) and (6/(-45))/(h/(-36)).
40
Suppose -8 = 2*p - p. Calculate the smallest common multiple of 22 and (4/3)/(p/(-132)).
22
Suppose -16 = 4*k, k - 6*k = 2*r + 4. Find the common denominator of 57/5 and (-54)/r*(-3)/(-18).
40
Suppose -4*y + 30 + 18 = 0. What is the least common multiple of y and 8?
24
Let i = 21 + -5. Suppose i = 3*u - y, 0*y = 5*u + 3*y - 22. Calculate the lowest common multiple of u and 4.
20
Let v = 0 - 1. Let o = -2/835 + 29237/5010. What is the common denominator of (-2)/v + 45/21 and o?
42
Suppose -2*f = 4*o + 12, -9 = -f + 2*o + o. Suppose f = -5*l + h - 4*h + 31, 3*l - 5*h - 39 = 0. Calculate the least common multiple of 4 and l.
8
Suppose g + 4*b = 28, 3*g - 2*b - 4 = 2*g. Let p(z) = -z**3 + 12*z**2 + z - 10. What is the lowest common multiple of 4 and p(g)?
4
Let f(q) = 77*q - 10. Let l be f(-10). Let j = -8573/11 - l. What is the common denominator of -37/9 and j?
99
Let x(k) = 3*k**2 - 3*k. Calculate the lowest common multiple of x(3) and 18.
18
Let z = -155 + 89. Calculate the lowest common multiple of 4 and 3*(z/(-9) + 0).
44
Let b = 9822 + -59071/6. Calculate the common denominator of 87/15 - (4 + -1) and b.
30
Suppose -5*n = 2 - 7. Let u be 0/(n + 0 + 0). Suppose -2 = -b - u. What is the smallest common multiple of b and 4?
4
Let s(q) = -q**3 + 5*q**2 + 9*q - 1. Let f be s(7). What is the common denominator of 51*((-12)/14 + 1) and 176/f*(-1)/4?
63
Suppose 4*s - 5*v + 8 = 0, -4*v + 7 + 6 = -s. What is the smallest common multiple of (-64)/(-112) + -1 + (-177)/(-21) and s?
24
Suppose 0 = -35*n + 298 - 88. Suppose v - 5*v = -32. Calculate the smallest common multiple of v and n.
24
Let n = -6 - -9. Let q = -9 + 7. What is the smallest common multiple of 2/q - -2 - -1 and n?
6
Suppose -11970 = -5*s + 1110. Let k = s + -36641/14. Find the common denominator of 69/2 and k.
14
Suppose -5 = -3*x + 61. What is the smallest common multiple of x and 18?
198
Let c be (2106/40)/(-9)*4. Let w = 123/5 + c. Calculate the common denominator of w and 57/5.
5
Let n(i) = -i**3 - 4*i**2 - 3. Let q be n(-3). Let h be ((-30)/(-4))/(9/q). Calculate the common denominator of 87/4 and (202/h)/((-12)/(-10)).
12
Let r = 5543/930 - -13/93. Calculate the common denominator of (-865)/450 - (-1)/(-9)*-2 and r.
10
Let b = -16 + 22. Let u = b - 3. Suppose -u*c + 2*d + 62 = 0, -5*d - 6 = -2*c + 39. Calculate the smallest common multiple of 12 and c.
60
Calculate the common denominator of -53/12 and -4 + (-69)/(-60) + 0.
60
Let c be (-39378)/20*(-8)/6. Let r = 2635 - c. Let j = -1025/3 - -11185/33. Calculate the common denominator of r and j.
55
Calculate the least common multiple of -5*(-8)/20 + 4 and 30.
30
Suppose -3*v + 34 = -2*b, 5*v + b - 15 = -4*b. Suppose -2*z - 2*r = -v, -2*z + 11 = 4*r - 3*r. Calculate the common denominator of -93/22 and (46/(-14))/(6/z).
66
Let c be (20/(-6))/(2/(-3)). Suppose 3*f - 7 = -v + 8*f, -c*v + 113 = f. Let h(g) = -g**3 + 4*g**2 + 8*g - 5. Calculate the least common multiple of h(5) and v.
110
Let a = -1 + 0. Calculate the common denominator of 3322/132 + (-1)/1 and (a/6)/((-6)/(-81)).
12
Let s = -17089/140 - -852/7. Calculate the common denominator of -37/6 and s.
60
Let t be 1895/4 + -1 + 1. Let n = t - 460. Calculate the common denominator of n and -23/20.
20
Let c be (-3 - (3 + -2))*-1. Let j be 2/c + 18/4. Suppose j*a - w - 18 = w, 2*a = 5*w + 3. What is the smallest common multiple of 6 and a?
12
Let w = -3705/296 - -33/37. What is the common denominator of w and 17/4?
8
Let i = -82556/6995 - -3/1399. Find the common denominator of (-4 - 136/(-28)) + (