et r = 44 + 1. Suppose 53 = w*m + 5*h, -4*m + r + 24 = 5*h. What is the least common multiple of 10 and m?
80
Let k(u) = 3*u. Let r be k(1). Suppose 11 = r*c - 22. Let x = 31 + -22. What is the least common multiple of c and x?
99
Let o = 1 - -21. Suppose o + 8 = 5*q. Suppose 2*w - 12 = q. What is the least common multiple of w and 3?
9
Let o(v) = -3*v**2 - 1. Let m be o(1). Let c = -10 - -28. What is the least common multiple of c and m/6*(-19 - -1)?
36
Suppose -2*a = -0*a + 54. What is the common denominator of 29/9 and (-15)/a + (-4)/(-18)?
9
Find the common denominator of -29/16 and -31*(4 + (-291)/72).
48
Let o = 2/4807 - 197103/38456. What is the common denominator of o and -1 + 129/(-12) + 1?
8
Let z(n) = n**3 + 6*n**2 + 3*n. Let f be (15/(-12) + 0)*4. Calculate the lowest common multiple of z(f) and (3 - 2 - -6) + 1.
40
Suppose -2*p = -4*p + 64. Calculate the lowest common multiple of p and 20.
160
Let o = -1/3040 + 821/608. Find the common denominator of (3/10)/((-168)/(-820)) and o.
140
Let o = -28 - -39. Suppose -o = g - 2*a, -2*g + 23 = 5*a - 0*a. What is the least common multiple of 1 and 0 + -1 + g + 10?
8
Let d = 2 + 4. Suppose -5*h - 170 = -4*n, 4*h - n = -0*n - 147. Let g = -26 - h. Calculate the smallest common multiple of g and d.
12
Let j be (-6)/(-27) + (-534)/(-27). Let a = j - 12. Suppose -4*n + 12 = 0, 3*n = -5*c + 4*n + 87. Calculate the least common multiple of a and c.
72
Let p = -95/2 - -109/4. What is the common denominator of p and -81/2?
4
Let k = -7 - -7. Let r = 4 - 0. What is the common denominator of -65/14 and (174/r)/(k - -5)?
70
Let c(p) = p + 1. Let s be c(2). Suppose 0 = -s*q - 2*q + 110. Calculate the least common multiple of q and 16.
176
Let d be (-7)/(-21) - (-13)/(-3). Let q = d + 15. What is the lowest common multiple of 11 and q?
11
Let x = 116 - 88. Calculate the lowest common multiple of 20 and x.
140
Let o(c) = c**3 + 10*c**2 - 10*c + 12. Calculate the lowest common multiple of o(-11) and 14.
14
Suppose -5*w + 2*w = 117. Let h = -10 - w. Find the common denominator of 89/4 and h.
4
Let v(r) = r**3 + 2*r**2 - 3*r. Suppose 5*t + 2*b - 26 = 0, 2*t - 2*b - 23 = -21. What is the lowest common multiple of v(2) and t?
20
Suppose -2*d = -4*d + 8. Suppose -d*g + 2*s + 3 = -17, -3*s - 20 = -4*g. Calculate the lowest common multiple of g and 3.
15
Suppose -f - 5*p = 12, 4*f = 3*p + 14 + 30. Calculate the least common multiple of f and 28.
56
Let c be 120 + -1 + (2 - 0). What is the common denominator of -87/10 and (c/15)/(2/5)?
30
Let d = -399/74 - -8393/740. Let a = -1 - -7. What is the common denominator of d and a/(-15) + 76/8?
20
Let n(s) = 11*s + 3. Let a be n(4). Suppose -p + 38 = -a. Calculate the common denominator of (-6)/(-28)*p/3 and 45/14.
14
What is the common denominator of 133/18 and (83/(-16) - -5)*132?
36
Suppose -14*f + 4*f + 60 = 0. Suppose -2*h - z + 41 = 0, 3*h = -4*z - 0*z + 54. What is the smallest common multiple of h and f?
66
Let x = -67 - -112. Suppose -3*w - x = -8*w. Calculate the lowest common multiple of w and 7.
63
Let w(u) be the first derivative of u**3/3 - 3*u**2 + 5*u - 1. Let m(c) = -c**2 + 5*c - 2. Calculate the lowest common multiple of w(6) and m(4).
10
Suppose 4*t + 3*h = 2*h + 4, 5*t - 2 = -2*h. Calculate the common denominator of -45/22 and (-14)/9 + 1/t.
198
Let z = -813/14 + 58. Find the common denominator of 143/30 and z.
210
Let g = 48467/30 + -1617. Calculate the common denominator of 34/3 and g.
30
Suppose -2*h + 5*m = 10544, 6228 = 3*h + m + 22061. Let c = 52827/10 + h. Calculate the common denominator of c and (-244)/(-24)*4/6.
90
Let z = -1 + 2. Calculate the smallest common multiple of z + 2 + 2 + 6 and 5.
55
Let g = 9391/2002 - -34/143. What is the common denominator of g and -59/8?
56
Let d = 5 + 1. Calculate the smallest common multiple of 2 and d.
6
Let d be (-4)/14 + (-1110)/(-14). Let r = d - 128. Calculate the common denominator of -37/8 and (r/(-12))/((-4)/6).
8
Suppose -t + 3*t - 2*y + 2 = 0, -25 = -3*t - 4*y. Let q = 7 - t. What is the least common multiple of 20 and q?
20
Suppose -p + 2*s = -3*p - 80, 4*s + 118 = -3*p. Let z be (p/(-8))/((-2)/92). Let h = -1242/5 - z. What is the common denominator of h and 1/4?
20
Calculate the common denominator of (-14)/28*214/6 and (-108)/20 + 1/4.
60
Let b = -1549/340 + 114/17. Find the common denominator of 71/36 and b.
180
Let g = 81/61 - 41107/31049. Let y = -465/11198 - g. Calculate the common denominator of 1/10 and y.
110
Suppose 2*a - 33 - 18 = 3*x, 0 = -a + 4*x + 38. What is the least common multiple of 24 and a?
72
Let d = -2809/28 + 564/7. Calculate the common denominator of -29/36 and d.
36
Let q = 43 - -13. What is the common denominator of 101/14 and (-579)/q - (-8)/(-28)?
56
Let w = 1025059/45968 + -24863/845. Let m = -1/1360 + w. Find the common denominator of -11/5 and m.
40
Suppose 89 = 3*k - 4*w, k - 1 = -5*w - 3. Let q = 39 - k. What is the lowest common multiple of q and 12?
48
Suppose -9*b = 2*b - 66. What is the smallest common multiple of 5 and b?
30
Let j = 7 + -2. Suppose -18 = 2*s - j*s. Let b(d) = -d**3 - 13*d**2 + 28*d - 24. Calculate the least common multiple of b(-15) and s.
6
Suppose -2 - 6 = -4*q. Let w be (4/(-3))/((-2)/3). Suppose 0 = -w*f + 5*b + 29, -4*f + 0*f + 16 = 4*b. Calculate the smallest common multiple of f and q.
14
Find the common denominator of 59/8 and (-1 - (-3)/6) + (-106)/28.
56
Let r = 301812/5 + -60000. Let x = 354 - r. Find the common denominator of 57/4 and x.
20
Suppose -i + 3*x - 4837 = 0, 0*x = -4*x + 20. Let o = i + 67617/14. Calculate the common denominator of o and -151/18.
126
Let j(g) = -g**3 + 3*g**2 + 6*g - 6. Let a be j(4). What is the least common multiple of a/(-5)*(2 - 7) and 4/1 - (-2)/(-1)?
2
Let d = -86 + 143. Suppose -3*x + d = 2*x + 4*r, -5*x + 48 = r. What is the lowest common multiple of 10 and x?
90
Let p(g) = g**2 - 11*g + 22. Suppose -6 + 20 = 2*y. Calculate the least common multiple of p(9) and y.
28
Let a be 4/6 - (-3696)/18. Let d = a - 489/2. What is the common denominator of -16/3 and d?
6
Let a be 2/(-4)*2*-29. Let j(t) = -2*t - 1. Let s be j(-9). Let v = a - s. What is the lowest common multiple of v and 18?
36
Let y be -722 + (10 - -2)/4. Let m = y + 2180/3. Calculate the common denominator of -43/4 and m.
12
Let u(y) = y**3 - 6*y**2 + 8*y + 6. Calculate the least common multiple of 8 and u(6).
216
Let b(i) = -4*i - 3. Calculate the lowest common multiple of b(-4) and (-1 - -2) + -6 + 14.
117
Let x(s) = -s - 9. Calculate the smallest common multiple of 11 and x(-13).
44
Let r be (-6)/(-4) + (-14)/(-4). Let x = r + 11. Calculate the least common multiple of 6 and x.
48
Let g = -17 + 19. Suppose -9 = g*h - 3*h. Calculate the least common multiple of 11 and h.
99
Let y = 153 + -144. What is the smallest common multiple of y and 11?
99
Let n be 0 - 2*15/(-6). Suppose -4 = i - n*i. Calculate the least common multiple of i and 8.
8
Let i(k) = -25*k + 46. Let w(u) = -5*u + 9. Let g(d) = 2*i(d) - 11*w(d). Calculate the least common multiple of 8 and g(5).
72
Suppose 1 = -2*j - 3. Let z be ((-1)/j)/(5/570). What is the common denominator of 5/2 and z/(-5)*3/6?
10
Suppose 2*y = 4*y - 16. Let u(i) be the first derivative of -i**2/2 + 17*i - 4. What is the smallest common multiple of y and u(10)?
56
Suppose 2*c + 1 = 3. Suppose 5*x - 9 = c. Calculate the lowest common multiple of x and 2.
2
Let d = 1893 - 15057/8. Find the common denominator of d and -9*(2 - 116/42).
56
Suppose -90 = -4*k - 2*r + 192, -r - 131 = -2*k. Calculate the lowest common multiple of k and 16.
272
Let p(b) = 2*b + 1 - 1 + 4*b - 1. Let t = 5 - 3. What is the smallest common multiple of 8 and p(t)?
88
Suppose 3*z = 4*y - 24, 0*z + y + 40 = -5*z. Let a be (-2755)/(-20)*z/(-3). Let c = a + -10969/30. Calculate the common denominator of 35 and c.
10
Suppose 4*s - 60 = -5*n, -7 = -2*n + s + 4. What is the lowest common multiple of (-18)/(-42) - ((-92)/14 - 1) and n?
8
Suppose -x + 6*x - 60 = 0. Calculate the smallest common multiple of x and 22.
132
Suppose 0 = -4*m + 2*m + 16. What is the smallest common multiple of 14 and m?
56
Suppose -b - 3*b = -64. Calculate the lowest common multiple of b and (-3)/(-18) - 310/24*-2.
208
Let h be -5*(-2 + 1)*18. What is