50
Let m(q) = q**2 + 8*q - 1. Let d be m(-7). Calculate the least common multiple of (-377)/(-39) - d/6 and 5.
55
Suppose i = 1114 - 1030. Calculate the least common multiple of i and 22.
924
Let m = 2388/5 + -472. What is the common denominator of m and (500/112 + -4)/((-6)/(-24))?
35
Let g(z) be the second derivative of z**5/20 - 23*z**4/12 + z**3/6 - 9*z**2 - 15*z. Calculate the least common multiple of g(23) and 30/(-2)*(-2)/5.
30
Let o be 1/2 - (-91)/(-14). What is the common denominator of o/(-15)*(-13)/(-4) and 26/11?
110
Suppose 126 = -2*r + 5*r. Calculate the common denominator of -99/10 and (r/(-64))/(8/32).
40
Let s = 25 - -27. Let y be (20/15)/((-4)/(-42)). Let v(q) = q**2 - 12*q - 10. What is the lowest common multiple of v(y) and s?
468
Suppose -46 = 4*c + 42. Let v = c + 8. Let x = 22 + v. What is the lowest common multiple of 12 and x?
24
Let m = 1454130709/954 - 1524239. Let z = -9/106 - m. What is the common denominator of 23/4 and z?
36
Suppose -5*g = -2*r - 13, 0*r + 5*r = -4*g + 50. Let d be r/10 + (-17)/(-5). Suppose -d*x - x = -110. What is the lowest common multiple of 4 and x?
44
Let z(h) = 6*h - 20. Suppose -3*o - 34 = -5*t + o, 2*t = 5*o + 17. Suppose -l + 6 = -t. What is the smallest common multiple of z(5) and l?
60
Let z = 2914/5 + -16939/30. Let p be (-2 - 738/15) + 13/65. Find the common denominator of (-17)/p*(-83)/2 and z.
6
Let q(f) = 57*f + 610. What is the least common multiple of 70 and q(-10)?
280
Let d(y) = -3*y**3 + y + 1. Let q = -3 + -1. Calculate the smallest common multiple of d(-1) and -2*4/8*q.
12
Let z = 3 + 36. What is the common denominator of ((-20)/(-30))/(4/z) and 9/8?
8
Let p(h) be the third derivative of -h**4/6 - h**3/6 - 2*h**2. What is the smallest common multiple of (-42)/(-9)*12/8 and p(-3)?
77
Let z = 34830061/328 - 106189. What is the common denominator of 145/6 and z?
984
Suppose -2*a = 2*a - 4*j - 84, 0 = -5*a + 3*j + 99. Suppose 0 = 5*z - 2*y - 2*y - 76, 2*y - 4 = -z. Calculate the least common multiple of a and z.
36
Let y(q) = -q**2 - 11*q + 28. Let o be y(-13). What is the common denominator of -3 + (-344)/(-90) - o and -53/2?
90
Calculate the common denominator of 40/33 and -3 + (-80)/456*-22.
627
Let u = -13 - -35. Suppose -2*k + 26 = 6. What is the least common multiple of k and u?
110
Let r = -10/223 + 19887/892. Calculate the common denominator of r and -23/664.
664
Let p = 38034/119 - 2248/7. Calculate the common denominator of p and -34/7.
119
Let p = 19698 + -590797/30. Let r = -3963 + 47449/12. Find the common denominator of r and p.
60
Let j = -853 - -187659/220. Calculate the common denominator of 35/36 and j.
1980
Let q = 91 - 84. Calculate the common denominator of (2 - 0)*90/44 and (-10)/q*1029/63.
33
Let j be (-6)/4 + (-2)/(-4). Let h be j/(-4) - 785/40. Let i = -24 - h. What is the common denominator of i and 47/7?
56
Suppose -5*m = 9 - 4. Let x(y) = -y - 6. Let a be x(6). Calculate the least common multiple of 12 and 1/(a/16 - m).
12
Suppose 1149 + 40 = -2*g - p, 581 = -g - 5*p. Let c = -1259/2 - g. Let a = 42499/16 + -2659. Find the common denominator of c and a.
16
Let s(d) = -d**2 - 3*d + 19. Let t be s(-6). Find the common denominator of ((0 + -1)/(t/(-29)))/33 and 139/24.
264
Let x(p) = -4*p + 84. Calculate the smallest common multiple of 8 and x(19).
8
Let q = -222671747/9138 + 73103/3. Let z be ((-2)/((-8)/141693))/13707. Let m = q + z. Calculate the common denominator of 65/2 and m.
12
Suppose -16*t - 10 = -21*t. Suppose 2 = t*j - 2. What is the smallest common multiple of 8 and j?
8
Suppose 3*x - 198 = -3*d, -2*x = d - 76 + 8. Calculate the smallest common multiple of 178 and d.
5696
Let f(v) = -3*v - 27. Let w be f(-15). Suppose w*b = 15*b + 54. What is the lowest common multiple of 30 and b?
90
Let y(n) = n + 2. Let a be y(-4). Find the common denominator of -71/18 and (a/(-12)*139)/((-9)/3).
18
Let a = -33474417/14 - -2392894. Let l = 1865 - a. What is the common denominator of 85/26 and l?
182
Suppose 0*j + 980 = -4*j. Find the common denominator of (-510)/28 - (-160)/(-560) and (-2)/6 - j/(-10).
6
Calculate the least common multiple of 8 and 6/126*7 + (-214)/(-6).
72
Find the common denominator of 1/(-2)*(-804)/510 and -39/55.
935
Let t = -2861 + 11509/4. Let n = -662 - 3322. Let c = 71689/18 + n. Find the common denominator of c and t.
36
Find the common denominator of (-8)/(-20) - 5552/4080 and 6/5.
255
Suppose d - 5*d + 44 = 0. Let t = -13 - -11. Calculate the lowest common multiple of d and 7*(6/(-21) - t).
132
Let z be (-170)/(-4)*11/(110/1352). Let n = -103577/18 + z. Find the common denominator of n and 61/4.
36
Let b = -19 - -25. Calculate the smallest common multiple of 22/6 + (-4)/b and 3.
3
Suppose 3 = 5*x - 7. Suppose 4*f - 36 = 3*d, -5*f = -3*f - x*d - 20. Let q = -172 - -198. What is the lowest common multiple of q and f?
78
Suppose -9*q = 25 + 65. Calculate the smallest common multiple of ((-4)/3)/((-1)/3) and (-4)/q + 152/95.
4
What is the smallest common multiple of 15 and 15/2*(69 - 29)?
300
Let x = 12 - 15. Let c = 6 + x. Suppose c*u = 4 + 2. What is the least common multiple of u and 2?
2
Let t = -268 + 286. What is the least common multiple of t and 3?
18
Suppose g - 4*g + 18 = 0. Let y(k) be the third derivative of k**4/24 + 8*k**3/3 + k**2. What is the least common multiple of y(-14) and g?
6
Let s = 7 - 7. Suppose 0 = a - s - 7. Suppose -3*k - 5 + 33 = -5*c, -20 = -5*k + 3*c. Calculate the smallest common multiple of k and a.
7
Let i = 37 - -3. Let b be (-201532)/i - (-2)/5. Let v = b - -5047. Find the common denominator of -3/5 and v.
10
Suppose -16*g + 315 = 29*g. Calculate the smallest common multiple of g and 295.
2065
Let a(k) = k**3 + 21*k**2 + 21*k + 140. What is the lowest common multiple of a(-20) and 80?
240
Let a(k) = k**3 - 5*k**2 + 3*k + 1. Let p be a(4). Let g be -15*1 - 4/(-2). Let f = p - g. What is the lowest common multiple of 10 and f?
10
Let w(s) be the third derivative of -3*s**4/4 - 2*s**3/3 - 6*s**2. Let g be w(-3). Let f = 70 - g. What is the lowest common multiple of 12 and f?
60
Let g = 39 - 25. Let h be -9 + (-665)/(-75) + 4/30. Suppose 0 = 5*n + 5*b - 95, 98 = -h*n + 5*n + 2*b. What is the smallest common multiple of g and n?
140
Let j be (3 - 4)/((-5)/100). Suppose 0 = -5*t + 5*h + 20, t - 6*t + 2*h + j = 0. What is the least common multiple of t and 11?
44
Let q be ((-15)/(-160))/(5*-2 + 4). Let v = q + -2271/64. Let s = 6279/8 - 786. What is the common denominator of v and s?
8
Calculate the common denominator of (-30)/81*68/10 and -38/9.
27
Let r be (-9)/6*4*-12. Suppose -k + 2*k - r = 0. Suppose -3*c + k = 4*l, -12 - 39 = -3*c + 3*l. Calculate the least common multiple of 2 and c.
20
Calculate the common denominator of (-3)/(-2)*(-2860)/(-6120) and -65/33.
2244
Suppose 2*n + 2*b + 68 = 0, -78 = 5*n - 3*n - 3*b. Let h = -22 - n. What is the common denominator of 73/(-6)*(-21)/h and 117/20?
20
Suppose -17 = 3*d + w, -3*d = 2*w + 11 + 8. Let q be 1/(2 + -3) - 15. What is the common denominator of d/q - 3/4 and 81/2?
16
Let k(l) = -l**3 + 6*l**2 + 3. Suppose 2*f + 30 = 4*x, 15 = 3*x + 2*f - f. Let w be k(x). Suppose -c = -1 - w. What is the least common multiple of 2 and c?
4
What is the common denominator of 25/(-70)*93/5 and (-2)/(-5) + (-81)/(-2760)?
1288
Suppose 0 = 2*t - 5*v + 29, -4*t - 3*v - v = 16. Let b(g) = g**2 + 2*g - 23. Calculate the least common multiple of b(t) and 3.
12
Suppose -4*n + 3 = -4*u - 5, -2*u + 16 = 3*n. Suppose -3*m + 43 = s, m - 2*s - 19 = -7*s. Calculate the lowest common multiple of m and u.
14
Let z be 2 + 2/(-4) - (-1)/2. What is the common denominator of -2 - 1 - (-114)/21 and (-688)/(-154) + 2 - z/11?
7
Suppose -3*v + 55 = 5*o - 310, -o + 2*v = -73. Suppose 3*d = -z + o - 9, -3*z = 3*d - 72. Calculate the common denominator of 83/4 and 1/d*122 + 3.
20
Let o(y) = 41*y - 76. What is the lowest common multiple of 248 and o(2)?
744
Let g be (-3 - -4)/(2/(-4)). Let q be g/8 + 123495/44. Let h = q - 2811. What is the common denominator of h and 16/3?
33
Let o be -10 + 5 - (-1298)/12. Let k = 385/4 - o. What is the common denominator of (57/(-4))/(1*-3) and k?
12
Suppose 2*l + 5*x = 4*x + 39, -5*l = 2*x - 96. Let v(c) = 18*c**2 + 3*c. Let j be v(-2). Find the c