10
Let w be 2 + (-16)/9 + 301/63. Suppose 0*q + w*q - i - 25 = 0, 3 = -2*q + 3*i. What is the lowest common multiple of q and 6?
6
Let t = 0 + 3. What is the smallest common multiple of t and -3*(-5)/((-120)/(-56))?
21
Let x be (6/(-16))/((-7)/(-584)*2). Let t = x + 169/7. Find the common denominator of 16/23 and t.
46
Let j(s) = 7*s + 3. Let n be j(3). Let v = -49 + 54. Suppose n = -r + v*r. What is the smallest common multiple of 5 and r?
30
Let h = -2 + 3. Let p(j) = -11*j - 17. Let s be p(-8). Suppose -3*c - 4*n + 38 = 0, -5*c - 3*n + s = -4*n. Calculate the smallest common multiple of h and c.
14
Let x = 5 - 2. Suppose -30 = -6*v + 114. Calculate the lowest common multiple of x and v.
24
Suppose 2*t + 5*h + 457 = 0, 3*h + 123 = -2*t - 344. Let n = t - -4373/18. Calculate the common denominator of n and ((-190)/(-48))/1*2.
36
Let a = -2605 + 13087/5. Let b = 1805/7 + -256. What is the common denominator of a and b?
35
Let z be (2 + 26/(-10))*5. What is the common denominator of ((-336 + z)/(-3))/6 and -99/8?
24
Let u(x) = x - 16. Suppose -4*q - 2*b + 76 = 0, 0*q + 5*q - 106 = 3*b. What is the lowest common multiple of u(q) and 16?
16
Let y(a) = -12*a + 66. Calculate the least common multiple of 12 and y(-15).
492
Let x be -542*(12859/(-1260) + (-4)/(-10)). Let v = x + -5323. Find the common denominator of 43/15 and v.
90
Let t(w) be the third derivative of 0*w - 9*w**2 + 0 - 5/12*w**4 + 5/6*w**3 - 1/60*w**5. Calculate the lowest common multiple of 52 and t(-9).
364
Let x be ((-10)/48)/((-6)/(-378)). Let f = x + 737/40. Calculate the common denominator of 41/16 and f.
80
Suppose 3*f + 6 = 66. Suppose -3*t = 2*t + 60. Calculate the smallest common multiple of 5/(-30) - 74/t and f.
60
Let p = 33 + -28. Let q = p + -23. Calculate the lowest common multiple of 6 and (-4)/18 + (-328)/q.
18
Let c = -722 + 785. Calculate the least common multiple of 49 and c.
441
Suppose 3*l - 60 = -m + 5*m, 3*l - 60 = -4*m. Suppose 0 = -5*r + r - l. Let o(c) = -c**2 - 5*c + 6. Calculate the smallest common multiple of o(r) and 4.
12
Let v = -70 - -101. Calculate the common denominator of -2 - (v/6 - (-3 + 0)) and -51/25.
150
Suppose -2*s + 5 = -3*c - 3, 5*c - 5*s = -20. Let i = 19 + -7. Calculate the smallest common multiple of i and 16*(c + 3/6).
24
Let c = -379 - -577. What is the least common multiple of c and 108?
1188
Suppose 3*f + 0*f - 27 = 0. Let v(l) = 13*l - l**2 - l**2 + f + l**2 + 0*l. Calculate the lowest common multiple of v(13) and 5.
45
Let z(f) = -417*f**3 + f**2 + 6*f + 4. What is the least common multiple of 20 and z(-1)?
2080
Let m = -12205/7 + 1749. Calculate the common denominator of m and -42/55.
385
Let j = 121 + -114. What is the least common multiple of j and 79?
553
Let n = 197799/20 + -9896. What is the common denominator of 23/22 and n?
220
Let r(i) be the second derivative of i**5/20 + 11*i**4/12 + 8*i**3/3 - 27*i. Calculate the smallest common multiple of 20 and r(-7).
420
Let r(l) = 3*l**3 - l - 2. What is the lowest common multiple of r(2) and ((-4)/10)/(17/(-255))?
60
Let i(x) = 2*x**2 - 20*x + 16. Let d be i(17). Let j = 10 + -22. Find the common denominator of d/j + (-17)/17 and 19/4.
12
Let z = 15407/5 + -2064413/670. Let r = -1471/3216 + z. What is the common denominator of r and -14/3?
48
Suppose -2*q + 5*y + 47 = 0, q + 13 - 35 = 4*y. Let r = 36 - 22. Calculate the smallest common multiple of r and q.
182
Let v = -90807/14938 - -8/1067. Calculate the common denominator of -11/4 and v.
28
Let r = -2 - -11. Let j(b) = -6*b + r*b - 16 + 4. Calculate the least common multiple of j(7) and 4.
36
Suppose -4*x = 7 - 15. Suppose -1 = 4*y + t, x*y = -5*t - 2 - 3. Suppose a - 7*a + 36 = y. What is the lowest common multiple of a and 6?
6
Let n = -2597/4 + 2487/4. Let g = -1012 - -11157/11. Calculate the common denominator of g and n.
22
Suppose 55 = 5*w + 5*g, 4*g + 30 = -5*w + 88. Let v = 9 - 5. Calculate the least common multiple of w and v.
28
Suppose -2*h - 24 = -4*o, 3*o - h - 3 = 15. What is the lowest common multiple of 34 and o?
102
Let i = 227165/56 - 4057. Find the common denominator of i and 58/49.
392
Suppose 0 = 6*l - 5*l - 30. What is the common denominator of 0 + ((-25)/(-16) - 1) and (-7)/14*l/14?
112
Let q = 8239/6 + -1369. Let o = 378 - 558. What is the common denominator of q and (-2272)/o + 4/(-18)?
30
Suppose 4*s - 48 = 4*j, -5*s - 36 = 2*j + j. Find the common denominator of 31/26 and (-14*(-4)/j)/(22/(-24)).
286
Let u = -105 + 105. Suppose 7*m - 2*m - 60 = u. Calculate the least common multiple of m and 27.
108
Let z(y) = 18*y - 178. What is the smallest common multiple of z(13) and 80?
560
Let g(j) = -21*j - 1. Suppose -395*k + 416*k = 378. What is the smallest common multiple of g(-1) and k?
180
Calculate the common denominator of 16/135 and 19/57 - (-59)/(-50).
1350
Calculate the smallest common multiple of 54 and (-213)/(-9) + 0 - (-3)/9.
216
Let n = -8/441 - -4000/26019. Let a be (-3129)/(-2596) - 3/(-12). Let p = a + n. Find the common denominator of p and -17/10.
110
What is the common denominator of -19/6 and 54/(-48)*18/(-26)?
312
Let x = -102 - -81. What is the common denominator of 4/71 and x?
71
Suppose -j = -115 - 61. Find the common denominator of (-96)/(-9)*(-5 + j/36) and 53/30.
270
Calculate the smallest common multiple of 15 and (-5)/15*-18 - -3.
45
Let g be (-978)/650 + 2/4*3. Let y = -29557/3900 + g. What is the common denominator of 35/6 and y?
12
Suppose 4*s - 267 = 5*o, o + 14 + 52 = s. Suppose s = -2*n + 5*g + 18, -2*n - 47 = -3*g. What is the smallest common multiple of 7 and (30/n)/(2/(-5))?
21
Let g = -11 - -24. Calculate the lowest common multiple of g and (-18)/10*1480/(-888).
39
Suppose v + 2*q - 2 = -8, -2*v - 17 = 5*q. Calculate the common denominator of ((-1)/(-10))/(v/(-166)) and 4/7 - 14619/(-77)*2/(-276).
460
Suppose 0 = -0*q + 4*q - z - 283, 0 = 4*q - 5*z - 295. Suppose -q = 7*j - 2*j. What is the common denominator of (-24)/63 + 4/j and 13/10?
30
Let o be 1 - (-28)/(-24) - (-1019)/46278. Let x = 3/857 - o. Find the common denominator of 63/5 and x.
135
Let b = 2403605813394421383031/159696130 + -165562333585250/11. Let h = -671/18377 + b. Let s = h + -6/395. Find the common denominator of s and -13/12.
60
Find the common denominator of -7 - ((-119)/(-42))/17 and 85/14.
42
Let d = -3388 + 33723/10. Let i = d - -20. Let g = 17230 + -344723/20. Find the common denominator of i and g.
20
Calculate the lowest common multiple of 6 and (-3)/(-3 - 3)*8.
12
Calculate the common denominator of 103/12 and (-2037)/(-3920) - ((-24)/(-15))/(-4).
336
Let z(g) = 3*g**2 - 36*g + 69. What is the least common multiple of 27 and z(13)?
108
What is the lowest common multiple of 10 and (-3 - 22)*(-8)/20?
10
Let b(k) = -17*k**3 - k**2 - k - 1. Suppose 79*g - 84 = 232. Calculate the least common multiple of g and b(-1).
16
Let j be (-1 - (0 + -4)) + 1233. Let y = j + -11105/9. What is the common denominator of -89/2 and y?
18
Suppose -3*h = f - 43, -4*f + 155 = -0*h - 5*h. Calculate the least common multiple of f and 1*-3 + (-72)/(-6) + 1.
40
Suppose 0 = 3*t - 13 - 5. Calculate the lowest common multiple of t and (-16)/(-20) - (576/(-5))/6.
60
Let m be 1 + -4 + -1 + 20020. Let b be (-6)/8 + 520420/m. Let a = -1/5004 + b. Calculate the common denominator of 79/12 and a.
12
Let l = 55 + -85. Let d = l + -40. What is the common denominator of 49/9 and (201/(-15))/(d/25)?
126
Suppose -5*f + 3*w = -45, -f + 4*f - 46 = -2*w. Suppose 5*a = 3*x + 8 + f, 0 = -x + 5. Calculate the lowest common multiple of 8 and a.
56
What is the least common multiple of 13 and (-225)/(-20) - 2/8?
143
Suppose 0 = -6*u + 11 + 1. Let g = -5 + 1. Let s = g + 13. Calculate the least common multiple of s and u.
18
Let y = 5764 + -276727/48. Calculate the common denominator of -75/128 and y.
384
Find the common denominator of 155/504 and (-6 - 63115/(-8008)) + -2.
5544
Let u(o) = o**3 + 17*o**2 + 13*o - 31. Let r be u(-16). Suppose r + 59 = 4*q. Calculate the common denominator of -43/5 and q.
5
Let f(n) be the first derivative of n**3/3 - 9*n**2/2 - 6*n - 4. Suppose 0 = 4*b + r - 4, -4*b + 14 = b - r. Calculate the least common multiple of f(10) and b.
4
Let l = 89 - 49. Suppose 5*a + 0*a = l. What is the lowest common multi