8.
348
Let z = 29909/208 - 1810/13. What is the common denominator of z and 7/8?
16
Suppose -2*f + 3*d + 3 = 0, -3*f = -0*f - 2*d - 17. Calculate the least common multiple of f and 10.
90
Let j(v) = v + 6. Let q = 0 + 2. Let r(l) = -l**2 + l + 2. Let c be r(q). What is the least common multiple of j(c) and 2?
6
Suppose 7*p + 0*p - 49 = 0. Calculate the lowest common multiple of p and 10.
70
Let b(k) = 0*k**2 - 1 + k - k**2 + 11*k**2. What is the common denominator of (-170)/42 + (-4)/6 and b(2)?
7
Find the common denominator of 53/3 and (-6)/(-3) + 98/(-38).
57
Let y = 28401/4528 + -24/283. Let l(m) = m**2 + 9*m - 5. Let r be l(-8). What is the common denominator of r/(-4) + 3/9 and y?
48
Suppose 3*v + 3*m - 2 - 4 = 0, 0 = 2*v - m - 16. What is the lowest common multiple of 24 and v?
24
Let u = 26 - -7. Let l be (1/(-3))/((-10)/u). Let y = -67/30 - l. Calculate the common denominator of y and 35/4.
12
Let w = 104/33 - -661/66. What is the common denominator of 73/2 and w?
6
Suppose -27 = 2*j - 2*d + 9, 5*j + 2*d + 55 = 0. Let c = -7 - j. What is the common denominator of 27/14 and ((-67)/c)/((-1)/(-3))?
14
Let x = 21 - 13. Calculate the lowest common multiple of 5*(132/10)/3 and x.
88
Suppose 2*k + 4*d - 19 = d, -4 = k - 3*d. Suppose -27 = -4*l + k. Let f = 9 - 2. What is the smallest common multiple of l and f?
56
Let s = 12401/8 + -1559. Let j = 7259/6 - 1216. What is the common denominator of j and s?
24
Let s be 1/7*-2*-7. Suppose -s = -2*f + 4. Suppose 5 = -f*x + 32. Calculate the lowest common multiple of 9 and x.
9
Suppose -4*u = -2*h - 16, -h + 4*h = -3*u - 24. Let p = -1 - h. Suppose -2 = -4*z + 2*z. Calculate the lowest common multiple of p and z.
7
Calculate the smallest common multiple of 20 and (-2)/11 + (57/11 - -3).
40
Let l be 16/10*5/2. Suppose -2*x = -l*p - 0*x - 20, -p - 8 = -2*x. Calculate the common denominator of 1/p - 342/(-8) and -69/22.
22
Suppose -6*z - k = -2*z - 24, 2*k = 4*z - 24. Calculate the least common multiple of 33 and z.
66
Calculate the common denominator of -51/4 and (11/(-33))/(2/(-279)).
4
Let j be (-4)/(-22) - (-42)/11. Suppose 4*w + 12 = 0, -j*a + 1 = 4*w - 3. What is the smallest common multiple of 1 and a?
4
Let r(b) = -b**3 + 9*b**2 - 14*b - 4. What is the lowest common multiple of r(6) and 6?
60
Let o = 11 - 0. What is the smallest common multiple of 8 and o?
88
Let s = 699 - 1329. Let w be 22144/s - 7/35. Let n = w - -242/7. Find the common denominator of -5/7 and n.
63
Let t = 7420 - 59283/8. Find the common denominator of -55/6 and t.
24
Let r(q) = q**3 + 6*q**2 - 28*q - 6. Let s(v) = -v**3 + v + 11. What is the smallest common multiple of r(-9) and s(0)?
33
Let v = -2633/236 - -24/59. What is the common denominator of v and 7/(-6)*2250/(-140)?
4
Let i be (-5218)/10 - 2/10. Let r = i + 5756/11. Calculate the common denominator of 26/5 and r.
55
Find the common denominator of -143/6 and -1*(-2575)/(-1220)*2/(-5).
366
Let g(s) = -s - 1. Suppose 0 = -4*l + 4. Let w be g(l). Calculate the lowest common multiple of 4 and 39/6 + w/4.
12
Let v = 24 - 10. Let b be (155/(-10))/((-2)/4). Let f = b - 21. Calculate the least common multiple of v and f.
70
What is the least common multiple of 14 and (-15)/6*(-16)/10?
28
Let d(a) = a**3 + 6*a**2 + 4*a - 2. Let r = 56 - 24. Let h = -12 + r. What is the lowest common multiple of d(-4) and h?
140
Suppose 3*l - 44 - 16 = 0. Suppose -2*j = -5*q - 11, 4*j + 0*q - 58 = -2*q. Suppose 5*y = j - 3. Calculate the least common multiple of y and l.
20
Let r = -4975/8 + 618. What is the common denominator of (-38)/65*15/(-4) and r?
104
Find the common denominator of 5 - 2 - 85/(-2) and 151/6.
6
Let n = 546/29 - 2517/203. What is the common denominator of -5 and n?
7
Suppose 39 = 4*i - 3*t, 0 = 2*i + 5*t + 6 + 7. What is the lowest common multiple of i and 3?
6
Let b(t) = -7*t**2 + 18*t + 2. Let n(a) = -6*a**2 + 17*a + 3. Let u(y) = 5*b(y) - 6*n(y). Calculate the least common multiple of u(13) and 10.
10
Let n = 142 - 129. Calculate the lowest common multiple of n and 4.
52
Let t = 43 - 40. Calculate the smallest common multiple of t and 11.
33
Let f be -1 - -2 - (-3)/1. Let l(a) = 4*a**2 - 3*a**2 + 3 - f + 4*a**3. What is the smallest common multiple of l(1) and 8?
8
Suppose -2*i = 4*s - 16, -i + 4*s = 4*i - 40. Calculate the least common multiple of i and 20.
40
Let u = 987703/905 - -944/181. Let b = -1102 + u. Find the common denominator of b and 16/5.
5
Suppose 3*q = -1 + 10. Suppose -h = q - 1. What is the least common multiple of 7 and (-3 + h/(-8))*-4?
77
Let b(i) = i - 10. Calculate the lowest common multiple of 7 and b(13).
21
Let t = 346 - 236. Suppose -v + 6*v = t. Calculate the lowest common multiple of v and ((-6)/(-10) - 1)*-20.
88
Calculate the common denominator of (-425)/(-60) - 2 - 0 and 59/10.
60
Let j(w) = w**2 + 8*w - 7. Let k be 61/(-7) + 2/(-7). Let n be j(k). Suppose n*h = 5*h - 3. What is the least common multiple of h and 7?
7
Suppose -i - 3*i + 72 = 0. Let u(c) = c**2 - 5. Suppose 4*t = 22 - 2. Calculate the smallest common multiple of u(t) and i.
180
Let r = -35 - -75. Let n = 1589/60 - 319/10. Find the common denominator of n and (-3 + 1)*11/r.
60
Let t = -63/157 + -4921/6908. Calculate the common denominator of 73/4 and t.
44
What is the common denominator of (3/(-24))/((-1)/(-67)) and (142/(-10))/(6/(-5))?
24
Calculate the common denominator of -3/10 and (-17)/(-6) + -5 + (3 - 0).
30
Let n(x) = x + 5. Let q = 13 + 5. What is the least common multiple of q and n(7)?
36
Let h = -958 - -252. Let t = 5657/8 + h. Calculate the common denominator of t and 39/14.
56
Let o = 3050/139854043707 - -836642339062699091/2879454905883423. Let m = o - 12/48041. Let g = m + -35773/126. What is the common denominator of -23/6 and g?
42
Let p be (250/96)/((-7)/3633). Let o = p + 1349. Calculate the common denominator of o and -17/14.
112
Let n = 2517 + -987. Let m be 4/(-18) - (-54467)/36. Let z = m - n. Calculate the common denominator of z and -85/22.
44
Let m = 0 + 6. Let u be ((-6)/(-3) + m)/(-1). Calculate the common denominator of -65/3 and 97/u*(4 + 0).
6
Let z = 7 - 4. Suppose 0 = 5*k - z*h + 7*h - 86, 0 = 5*h - 20. Calculate the least common multiple of k and 4.
28
Calculate the least common multiple of 6 and ((-2)/3)/((-3)/18).
12
Suppose -5*t = -35 - 115. Suppose -t - 10 = -5*n. Suppose -h - 2 = -4. What is the least common multiple of h and n?
8
Let c = -24155/41 - -589. Let o = -417/328 - c. What is the common denominator of 43/8 and o?
8
Suppose -5*s - i + 32 = 3*i, -5*s + 34 = 3*i. What is the common denominator of (-93)/s*(-16)/(-20) and 75/16?
80
Suppose 15 = 4*l + 5*n - 0*n, -l + 4*n - 12 = 0. Suppose -4*i = -i + 2*g - 28, 2*i + 4*g - 24 = l. Calculate the least common multiple of i and 22.
88
Let t be (-15)/4*(4 + 0). Find the common denominator of 1/(-4)*(-222)/t and 77/10.
10
Let m = 418402 + -2084919/5. Let x = m - 42473/30. Calculate the common denominator of 121/10 and x.
30
Suppose -82 = -12*m + 50. Calculate the smallest common multiple of 200 and m.
2200
Calculate the common denominator of (4/8)/((-188)/(-218) + -1) and -77/18.
90
Let c = -14 - -16. Find the common denominator of ((-21)/(-4))/((-30)/c) and 50/7.
140
Let z = -728210/9 - -80700. Let i = 212 + z. Find the common denominator of i and (-1 + 23/16)*-22.
72
Let t = -430/9 - -52. Calculate the common denominator of t and 3/4.
36
Let m(v) = -2*v**2 - 10*v - 2. What is the least common multiple of 55 and m(-4)?
330
Let z be (-21)/(-6) + 9/(-6). Calculate the least common multiple of 5 and (z + -3)*(-2)/2.
5
Suppose -3*w = 3*w - 54. What is the smallest common multiple of 6 and w?
18
Let b = -631/342 + 40/171. What is the common denominator of b and 47/14?
126
Let r = -1 + 6. Suppose 42 = r*v + 12. Calculate the lowest common multiple of v and (0 + 24)*3/4.
18
Let d(s) = s**2 + 14*s + 40. Suppose -4*l = 4*n, 4*n + 3*l - 6 = l. What is the smallest common multiple of d(-11) and n?
21
Suppose 4 = -3*f + 13. Suppose -4*x + 6 = 2*l, 0 = f*l + 8*x - 4*x - 15. What is the least common multiple of 3 and l?
9
Let n(l) = l**2 + 1. Let q be n(2). Suppose 4*y - 3*y + 2 = 2*j, q*y = 4*j + 14. What is the lowest common multiple of 0*3/y - -7 and 4?
28
Let o be (4 + 4)*(-2)/(-4). Find th