
110
Let w = 1 + 28. Suppose -w = -7*m + 2*m + 3*x, -3*x = 9. Find the common denominator of -26 and ((-6)/m)/(11/(-2)).
11
Suppose u + 87 = -3*x, 0 = -2*u + 3*x - 97 - 68. Find the common denominator of ((-3)/u)/((-1)/26) and 73/4.
28
Let w(x) = 4*x + 5. Let o be w(6). Calculate the common denominator of 1/(-20)*o - 1 and 2/(-9) - (-2681)/1008.
80
Suppose n + 4*o = -0*o, 10 = 2*n - 2*o. Let v(f) = f**2 + 13*f + 10. Calculate the smallest common multiple of v(-13) and n.
20
Suppose 4 = 3*m - 5. Suppose 0 = 5*t - 5, 0 = 4*a - 2*t + t - 7. Suppose 26 = a*w - j, -j = 5*w - 3*j - 63. Calculate the smallest common multiple of w and m.
33
Let q = 399 + -201. Suppose -3*m = -0*m - q. Calculate the least common multiple of 4 and 1 + -1 + m/3.
44
What is the common denominator of (-153)/30 - -1*2 and (-5830)/(-132)*(-6)/(-40)?
40
Let t be 30/(-3) - (1 + 0). Let p = -25 - t. Find the common denominator of p and -44/3.
3
Calculate the common denominator of 6/10 + 218/(-20) and 85/12.
60
Suppose 0 = -5*d - 7 + 2. Suppose -x = -0 - 2. What is the least common multiple of (-12)/(d*(-3)/(-2)) and x?
8
Let h = -941/12 + 226/3. What is the common denominator of h and 119/18?
36
Let a = -161849/16 - -10120. Find the common denominator of a and ((-38)/(-4))/((-55)/(-33)).
80
Suppose 4*z = 2*i - i + 548, -3*i + 426 = 3*z. Let q = z + -93. Suppose 6*u - u - q = 0. What is the lowest common multiple of u and 3?
9
Suppose -3*q + 21 = q + 3*a, 5*a + 17 = 2*q. Suppose -39 = -2*z + m, 2*z + m - 11 = 38. Calculate the least common multiple of q and z.
66
Let l(q) = -q**2 - 10*q - 10. What is the lowest common multiple of 2 and l(-8)?
6
Suppose 0 = 4*m - 12, -4*h + 5*m = h. Let a(s) = 2*s - 6. What is the lowest common multiple of a(4) and (-2)/2 + 6/h?
2
Let o = -170 - -3083/18. Let q = -3879/20 - -195. Calculate the common denominator of o and q.
180
What is the lowest common multiple of (-2)/(-3) - (-84)/9 and 10?
10
Let r(d) = -d**3 + 7*d**2 - 6*d + 8. Let i = -12 + 18. Calculate the least common multiple of r(6) and i.
24
Suppose 2*x - 5*k = 53, -x = -0*k - 2*k - 24. What is the smallest common multiple of x and (-4)/(-14) + (-440)/(-28)?
112
Let v = 2645 + -21101/8. Let z = -263331863/86583992 - 26113/20537. Let o = z + 3/8432. What is the common denominator of v and o?
16
Find the common denominator of 0 + ((-32)/(-14) - 4) and -61/4.
28
Let k = 17 - -6. Let l = -35 + k. What is the common denominator of (38/14)/(4/l) and 1/11?
77
Suppose -3*i + 9 - 3 = 0. Suppose -w + 4*w + 5*a - 42 = 0, -5*w = 2*a - 70. What is the least common multiple of 198/10 + i/10 and w?
140
Suppose -3*m + 16 = -7*m. Let a be (-46 - -4)/(6/m). Let x = 48 - a. Calculate the least common multiple of x and 22.
220
Let d(k) = 3*k + 9 - 1 - 4*k. Calculate the least common multiple of (-175)/(-40) + (-6)/16 and d(6).
4
Let j be (-130)/(-12) - (-6 + 6). Let y = 46/3 - j. Find the common denominator of -3/7 and y.
14
Find the common denominator of (-2)/5*61/4 and -49/22.
110
Suppose -9*z = z - 80. What is the least common multiple of 80 and z?
80
Let k(v) be the first derivative of v**4/4 + 5*v**3/3 + v**2 - 2*v - 3. Calculate the smallest common multiple of 4 and k(-3).
20
Suppose -4*j + 3*v = -22, 10 = 5*j + 3*v + 2*v. Let w = 2 - -7. What is the smallest common multiple of j and w?
36
Let v = 125155/12 - 10422. What is the common denominator of v and (11/10 - 1)*-71?
60
Let n = -1464 + 5931/4. Find the common denominator of n and -18/7.
28
Let u = -356 - -1087/3. Find the common denominator of u and 68/9.
9
Let q = -8 + 15. Suppose -h - 6 - q = -5*c, -c + 9 = 3*h. Calculate the smallest common multiple of (-3 - -2)/(2/(-6)) and c.
3
Let d = 2 + 10. Let c = 4 + d. Calculate the smallest common multiple of 5 and c.
80
Let j(g) = -g**3 - 500867. Let f be j(0). Let w = f + 285494011/570. Let y = w - -4/285. What is the common denominator of 17/12 and y?
60
Let g = 5679/5 + -1131. Calculate the common denominator of 99/16 and g.
80
Suppose -2*g = -2*c - 50, -5*c + 3 = 4*g - 88. What is the lowest common multiple of g and 6?
24
Let p(v) = v**3 + 8*v**2 + 8*v - 2. Let f = 4 + 4. What is the lowest common multiple of p(-6) and f?
88
Let i = 593/10 + -59. Find the common denominator of i and 73/18.
90
Let n = -1103 + 22071/20. Calculate the common denominator of -103/18 and n.
180
Calculate the common denominator of (-61)/3 - (-2 + 12/8) and 23/33.
66
Let v be 0 + 1 - -2*1. Suppose -4*a - 10 = -r, 9 = r - 2*a + 3. Calculate the least common multiple of 17/v - 2/3 and r.
10
Suppose -h + 2608 = -3*g, -4*g + 0*g - 4*h - 3472 = 0. Let p = 1835/2 + g. Let c = -10907 - -196459/18. Find the common denominator of p and c.
18
What is the least common multiple of (3*(-3)/(-12))/(1/40) and 10?
30
Suppose -o = 2*h - 3*h + 33, 2*h - 72 = -4*o. What is the least common multiple of 8 and h?
136
Suppose -104 = 24*b - 224. Calculate the lowest common multiple of b and (2 - 1 - -3) + 0.
20
Suppose z + 0 + 1 = 0. Let d be z/(4 + -2 - 1). What is the smallest common multiple of (4*d*-1)/1 and 8?
8
Find the common denominator of 1 - (-4 - 58/(-4)) and 115/42.
42
Let a = -1 + 4. Suppose c - v = 12, -a*c + 34 = -4*v - 7. What is the lowest common multiple of c and 10?
70
Let f = 726 + -10841/15. What is the common denominator of f and -25/18?
90
Suppose 3*k = k + 4. Let b(n) = 3*n**2 - 3*n + 2. Calculate the common denominator of (k/(-3))/((-8)/195) and b(-3).
4
Let y = -30417/11 + 2767. What is the common denominator of -14/3 and y?
33
Let d be (12/30)/(2/30). Let j be (d/2 - 2)*-7. Let s(w) = w**3 + 7*w**2 - 3*w - 3. Calculate the lowest common multiple of 4 and s(j).
36
Let o = 2 + 0. What is the least common multiple of (-2)/7*(9 - 16) and o?
2
Let y be (1666/(-12))/((-2)/(-6)). Let c = 12/2939 + 3891200/8817. Let d = y + c. Find the common denominator of -25/4 and d.
12
Let k be (-12)/30 + (-8)/5. Find the common denominator of (k/(-3))/((-4)/261) and 75/8.
8
Let f = 1301665/188196 - -2/15683. Calculate the common denominator of -57/7 and f.
84
Let t(y) = -4*y**2 + y. Let r be t(-2). What is the common denominator of 101/14 and r/(-96)*(-124)/(-9)?
84
Suppose 2*k = -3*g + g + 14, -3*g + 23 = 2*k. What is the lowest common multiple of g and 1?
9
Let t = 19 + -14. Calculate the least common multiple of t and 5.
5
Let l(p) = -p**2 + 14*p + 11. Calculate the smallest common multiple of l(14) and 47.
517
Let v = 391907/8 - 50385. Let z = 1385 + v. Let y = 9/2276 + 128531/15932. Calculate the common denominator of y and z.
56
Suppose 4*m = -3 - 33. Let u = m + 10. Suppose -5*f = -f + 2*x - 30, 2*x + 42 = 5*f. What is the lowest common multiple of u and f?
8
Suppose -4*d = -2*r - 296, 0 = -5*d + 3*r + 209 + 163. Suppose 3*w = -s + 11, 3*s + 0*s - 4*w = d. What is the least common multiple of s and 6?
60
Let n = -437369/18 + 24305. Suppose 4*h + 10 = l, h - 4*h - 10 = -2*l. What is the common denominator of (-14)/40*(0 + l) and n?
90
Let o(u) = 2*u**3 - 7*u**2 + 5*u + 14. What is the smallest common multiple of 15 and o(4)?
150
Suppose 0 = 3*r - 21 - 9. Suppose -q = 3*v - 6*q - 97, -5*v = -3*q - 135. Let w = -13 + v. Calculate the least common multiple of w and r.
110
Calculate the common denominator of 1/(8/116) + 3 and -77/4.
4
Let q(s) = s**2 - 5*s - 5. What is the lowest common multiple of 11 and q(-2)?
99
Let v = -5 - -7. Suppose -v = g - 7. Calculate the least common multiple of g and 3.
15
Let t(q) = 2*q + 18. Let x be t(9). What is the common denominator of -45/4 and 0 + -3 + (-94)/x?
36
Suppose -2*m = g - 17, 0*g = -g - 3. Calculate the common denominator of (-27)/2 - m/(-15) and -61/5.
30
Let p(s) = -s - 1. Suppose -4*z - z = -20. What is the least common multiple of p(-3) and z?
4
Suppose -11*h + 3 + 30 = 0. What is the smallest common multiple of (0 + 1)/(2/14) and h?
21
Let y = 23 - 19. Calculate the smallest common multiple of y and 1.
4
Suppose -3*w + 13*w = 110. What is the lowest common multiple of w and 6?
66
What is the least common multiple of 15 and ((-2)/(-4) - 114/(-4)) + 1?
30
Suppose -2*n + 0*n + 2*j = 22, -3*n - 41 = 5*j. Find the common denominator of (-21)/(-35)*(-82)/n and (20/(-30))/(32/189).
80
Let w = -1750/11 + 159. Let c = -5692/5 + 62387/55. What is the common denominator of w and c?
11
Le