480
Suppose 10 = 4*k + k. Let a be (-7)/((4 - 8)/(-84)). Find the common denominator of 41/10 and 3 - a/(-288)*k.
240
Let p = 18313/6 + -3071. What is the common denominator of p and (-1)/((-12)/(-122) + 0)?
6
Let f(p) = 6*p**3 - 10*p**2 + 4. What is the smallest common multiple of f(2) and 12?
12
Suppose -878 = 2*f - 4*w, -3*w = -4*w - 3. Let p = -1405/3 - f. Find the common denominator of p and 2/21.
21
Let f(k) = k**3 - 3*k**2 + k + 4. Let a be f(-2). Calculate the lowest common multiple of 1 - 1 - a/1 and 18.
18
Let v = 46576 + -1397419/30. What is the common denominator of v and 109/132?
660
Suppose 6*r - 3*r - 3 = 0. What is the common denominator of (-219)/(-66) + 0/r and 95/14?
154
Let c = -675559230873675 + 1198569756264495510576/1774189. Let a = -30/30071 - c. Let s = a - 55673/2124. Find the common denominator of 5/12 and s.
36
Let y be 442/39*6/4. Calculate the common denominator of (y/(-115))/(96/(-560)) and 3/8.
552
Let z(w) = -2*w**3 + 3*w + 2. Let m be z(-1). Let r = 2 - m. Suppose -5*x = q - r + 16, x = 2*q - 25. Calculate the lowest common multiple of 22 and q.
110
Let o = -12 + 18. Let n(q) = -4*q + 9. Let v be n(o). Let x = -13 - v. Calculate the lowest common multiple of 2 and x.
2
Suppose 4*w - 28 = -2*i, -89 - 26 = -5*i + 5*w. Let y = -12 + i. Let j = -170 + 176. What is the smallest common multiple of j and y?
24
Suppose -2*s + 17 = -5. Let z(c) = -11*c. Let v be (0 - -1) + -13 + 11. What is the least common multiple of s and z(v)?
11
Let a = 69922/27 + -2587. Find the common denominator of 13096/4560 - 32/304 and a.
270
Let g = 47/4 + -113/8. Find the common denominator of -73/78 and g.
312
Let j = 1291 - 5067/4. Calculate the common denominator of -3/44 and j.
44
Suppose 5*j - 3*x = -9, 0*x = -3*x - 6. Let c = -47 - -51. Calculate the least common multiple of 2 and (c/j)/(6/(-27)).
6
Suppose -7*d + 12*d = 480. What is the smallest common multiple of d and 288?
288
Let r(o) be the third derivative of o**5/20 + o**4/12 - o**3/6 + 3*o**2. Let d be r(1). What is the smallest common multiple of (2 - 10/d)*-16 and 6?
24
Let t = 742 - 733. What is the lowest common multiple of t and 18?
18
Suppose -7*s + 183 = -48. Calculate the least common multiple of 63 and s.
693
Let g = 3 - 0. Let v(d) = -3*d**3 - 1 + 4 + d**g + 3*d**2 + 1. Calculate the common denominator of v(3) and -1.
1
Suppose 2*f - 431 = -a, 2*f - 5*f = -3. Calculate the smallest common multiple of 24 and a.
3432
Let i(h) = -h**2 - 21*h + 256. What is the least common multiple of 54 and i(-29)?
216
Calculate the least common multiple of (-18495)/(-315) - (-5)/(-7) and 52.
1508
Find the common denominator of 47/133 and (-50)/19*(-14)/196.
133
Let h = -4 - -34. Calculate the common denominator of 13/7 and h/135 + (-686)/(-72).
28
Let v = 50/31 - 3706/837. Find the common denominator of v and (-275)/(-135) + 0 + -2.
27
Let c be (-286983)/(-20202) - ((-1 - 0) + 3). Let i = c - 1230/91. Find the common denominator of 107/10 and i.
370
Let w = -8/2259 - 55859/173943. Find the common denominator of w and -29/56.
616
Let a = -279248/45 + 6208. Let q = -3257/495 + a. Find the common denominator of -12/7 and q.
77
Let a = -12157/6 + 6206/3. Let p = 11397 + -114063/10. Find the common denominator of p and a.
10
Let w = 9/55 + 173/220. Calculate the common denominator of -2/395 and w.
1580
Let i(n) = 4*n + 4. Let p be i(4). Suppose 13*t = 18*t - p. Calculate the smallest common multiple of 9 and t.
36
Let m = -10 + 9. Suppose b + 70 = 6*b. Calculate the least common multiple of b and 6/m*(280/12)/(-7).
140
Let w(q) = q**3 - 7*q**2 + 21*q - 51. What is the lowest common multiple of w(5) and 77?
308
Suppose 36 = 2*h - 4. Let r(i) = 3*i**2 + 4*i - 73. Let t(j) = j**2 + j - 24. Let s(q) = 2*r(q) - 7*t(q). Calculate the lowest common multiple of s(0) and h.
220
Find the common denominator of 76/9 and 626/(-2817) - (446/666 - 1).
333
What is the common denominator of (-16)/(-400)*(-1475)/10 and 47/2?
10
Suppose -6 - 34 = -4*n. What is the least common multiple of n and (5/((-30)/(-4)))/(4/42)?
70
Let h be 5*((-21)/(-5) - 3). Let t(u) = u**3 - 6*u**2 - u + 7. Let f be t(h). Find the common denominator of (f + (-108)/21)/1 and 1/6.
42
Let l = 88 + -76. Calculate the least common multiple of 14 and l.
84
Let c = -1056 + -170. Find the common denominator of 26/(-91) - c/(-168) and 42.
12
Suppose -b + 0 = -12. What is the least common multiple of (b/3)/(2/3) and 4?
12
Let k(j) = -9*j**2 + 5 + 3 - j**3 - 5 - 2. Let l be k(-9). What is the smallest common multiple of 6 and (-2)/(l + (-20)/16)?
24
Let s(t) be the third derivative of t**5/15 + t**4/6 + t**3 - 3*t**2. What is the lowest common multiple of s(-2) and 4?
28
Let b = -131 - -131. Suppose -2*c + 5*z + 7 = b, -2*z + 5 = -1. Suppose -3*o - 2*o = -30. What is the lowest common multiple of c and o?
66
Let w(c) be the third derivative of 67*c**4/24 + 2*c**3/3 + 5*c**2. Let z be w(12). What is the common denominator of 35/4 and (z/(-60))/(8/(-3))?
20
Let z = 41381/8 - 5165. Find the common denominator of -77/57 and z.
456
Calculate the lowest common multiple of 75/(-3*(-1)/2) and 6.
150
Let c be 4*(5 + 1/(-1)). Find the common denominator of 1443/(-270) + (2/(-5))/(-1) and 7/6*c/6.
18
Calculate the smallest common multiple of 74 and 11/(-33) + 22/3.
518
What is the common denominator of (308/20)/((-6)/(-5)) and -5/12?
12
Suppose 0 = 2*s - 3*k - 245 + 15, 5*s - 613 = -2*k. Calculate the smallest common multiple of 121 and s.
121
Suppose 5*q - 76 = 3*q. Let r = q + -27. What is the smallest common multiple of 2 and r?
22
Let l = 7 + -15. Calculate the common denominator of (-42 + -1)*2/l and (-387)/(-12)*(-2)/(-6).
4
Suppose y - 21 - 6 = 0. Calculate the least common multiple of y and 252.
756
Suppose -7*n = -10*n + 66. Let r = n + 8. Suppose -3*w - 3*t = -36, -2*t + 4 = -3*t. What is the lowest common multiple of r and w?
240
Suppose -4*g = -2*g + 3*r - 17, -5*g + 32 = 4*r. Suppose 11*m - 37 + g = 0. Let j = 20 + -10. Calculate the least common multiple of j and m.
30
Let s be (16/(-20))/(2/5). What is the common denominator of 3/(-3) - (-14)/77 and s/(-7) + (-1052)/(-140)?
55
Let w(a) = -a**3 - 7*a**2 - 4*a - 16. Let j be w(-7). Let t(b) = -b + 32. Calculate the smallest common multiple of t(j) and 8.
40
Suppose -102*a = -1052 - 3436. What is the lowest common multiple of 160 and a?
1760
Let r = 49 + -35. Let m = r + 10. Calculate the lowest common multiple of m and 33.
264
Suppose 0 = q + 3*q - 56. Let w(g) = -g**2 + 33*g - 52. What is the smallest common multiple of w(31) and q*(1/(-2) - -1)?
70
Let h be (-2)/(-3*6/(-24453)). Suppose 0 = -5*x + 4*k + 1646, -3*k - 656 = -2*x + k. Find the common denominator of (-4)/10 - h/x and 7/10.
30
Let x = -253 - -274. Suppose -16 - 8 = -2*p. Calculate the smallest common multiple of p and x.
84
Let b = -34 + 27. Calculate the common denominator of 29 and (b/(-14))/(5/28).
5
Let o(l) = -14*l + 13. Let t(x) = -7*x + 7. Let c(m) = -6*o(m) + 11*t(m). Let f = 51 + -50. Calculate the least common multiple of 20 and c(f).
60
Let m = -33987/37360 - 48/467. What is the common denominator of m and -117/56?
560
Let y = -713 + 725. What is the lowest common multiple of y and 1030?
6180
Let z(m) = 5*m + 62. Calculate the lowest common multiple of z(-7) and 48.
432
Suppose 4*h = -h + 40. Let t = -79 - -82. Suppose 0 = 3*c, -2*c - 1 = -t*q + 2. Calculate the smallest common multiple of h and q.
8
Let q(p) = -3*p + 32. Let o be q(-8). Suppose -9*u + 34 = -o. Let k(m) = -2*m**3 - 4*m**2 - 4*m - 2. Calculate the smallest common multiple of u and k(-2).
30
What is the smallest common multiple of (15/6)/5 - (-3036)/264 and 215/3 + 1/3?
72
Let h = 22943/10296 + -92/429. What is the common denominator of 77/24 and h?
72
Calculate the common denominator of -3/44 and (-3471)/812 + 2/(-7) - -4.
1276
Let w be -1 + 5 + -2 - -4. Let i be 216/6*267/w. Let v = -9749/6 + i. What is the common denominator of -99/14 and v?
42
Calculate the common denominator of 10/51 and 2 + (-2 - -3 - 32).
51
Calculate the smallest common multiple of 66 and 4/18 + 1/(45/890).
660
Let b = 173695/44271756 + -1/28692. Let u = b - -41601/15430. What is the common denominator of -48/31 and u?
310
Suppose -2*r - 4 = 3*c, -r + c = 3*r - 20. Suppo