+ 5*u = 15. What is the least common multiple of u and 9?
45
Suppose -m - 6 = -5*b, 0 = -10*m + 5*m - 5*b. Let s = 33 - m. Let x = 4129/8 + -520. Calculate the common denominator of x and s.
8
Let k(x) = -x**2 - 3*x + 7. Let l be k(-5). What is the common denominator of 49/2 and ((-1)/(-4))/(l/(-304))?
6
Suppose -2*p + 134 = -0*p + 3*o, -318 = -5*p + o. What is the least common multiple of p and 18?
576
Suppose 3*s + q - 4 = 0, -s + 6*q = q - 12. What is the smallest common multiple of 1*s + 9 + 0 and (2/3)/((-1)/(-12))?
88
Let q = 46 - 2. Calculate the common denominator of (-156)/(-15) - 1/2 and -3 + 282/q + 0.
110
What is the common denominator of (45/(-100) - 1)/(2/(-15)) and -1 + -1 + 202/(-12)?
24
Let o be -7534 + 3/(0 - 1). Let n = -60211/8 - o. Calculate the common denominator of n and (-279)/(-6)*(-2)/12.
8
Suppose -5*c = -16 - 4. Suppose -2*i = -8, -5*r + 63 = c*i + 17. What is the lowest common multiple of 11 and r?
66
Let l(w) = -w**3 - 4*w**2 + 7*w + 6. Let y be l(-5). Calculate the common denominator of -43/7 and (-60)/6*y/90.
63
Let d(z) be the first derivative of -z**4/4 + 2*z**3/3 + z**2/2 + 2*z - 2. Suppose -2*s + 3 = -1. Calculate the smallest common multiple of d(2) and s.
4
Find the common denominator of 78/(-144)*(-18)/(-8) and 59/3.
96
Suppose -2*p - 79 = -4*w - 23, -5*w - 3*p + 48 = 0. Calculate the least common multiple of w and 70.
420
Let z(v) = -7*v**2 - 11*v + 2. Let w be z(9). Let y = 4700/7 + w. Find the common denominator of y and -13.
7
Let r = 172 + -72. Let n = r + -1101/11. Find the common denominator of -13/11 and n.
11
Let a be 2 - (0 - (-3466)/(-2)). Let f = a + -24387/14. Find the common denominator of -71/10 and f.
70
Let f be -2 + 0 - (-1 + 1). Let b(m) be the first derivative of -m**2/2 + 2*m + 1. Calculate the smallest common multiple of 4 and b(f).
4
Suppose -5*s + 4*d - 4 = 5, -3*s = d + 2. Find the common denominator of 231/(-6) - (s - -4) and 56/3.
6
Suppose 0 = 2*v - 3*a + 140 + 219, -4*a + 356 = -2*v. Calculate the smallest common multiple of 18 and 6/(-15) + v/(-10).
18
Let u = -913/174 - 46/29. Calculate the common denominator of u and -89/8.
24
Let r = -132819336/547 - -242814. Let k = -51493/12034 - r. What is the common denominator of 133/6 and k?
66
Let u be 2 + 1 - (-26437)/(-198). Let y = u + 1418/11. Find the common denominator of -113/10 and y.
90
Find the common denominator of (-6)/2 + 9/(-6)*9 and -63/8.
8
Suppose -7*t + 12 = -3*t. Suppose -t*v + 48 + 23 = x, 5*x = -20. Suppose 0 = -r + v - 7. Calculate the lowest common multiple of r and 18.
18
Suppose 0 = 3*v - 2*v + k - 10, 0 = 5*v - 5*k - 40. Calculate the smallest common multiple of 1 and -12*(-2 - (-12)/v).
8
Let o = -24546/7 - -3513. Suppose 2*p - 4*p = -1712. Let f = p - 2524/3. What is the common denominator of f and o?
21
Suppose -2*v + 18 = v. Suppose v*b = 3*b + 30. Calculate the smallest common multiple of b and 4.
20
Suppose 2*t = -0*t - 3*k + 48, 4*t - 5*k = 96. Calculate the lowest common multiple of t and 28.
168
Let q = 213/8 - 1133/40. Calculate the common denominator of q and -41/9.
90
Let r = -2 - -2. Suppose 3*s = -r*s + 6. Let q(u) = -3*u - 7. Calculate the least common multiple of s and q(-5).
8
Calculate the common denominator of 73/4 and ((-46)/6)/(4 + 112/(-36)).
8
Suppose -k - 3*w + 5 = 18, 4*w = 4*k - 28. Suppose 5*u = 10, -k - 1 = -h - u. What is the common denominator of 1278/12*h/(-12) and 27/10?
40
Calculate the common denominator of 93/22 and 5/(510/441) + -4.
374
Let m(z) = -4*z**2 - 4*z + 2. Let r(p) = -7*p**2 - 9*p + 4. Let t(s) = -5*m(s) + 3*r(s). Calculate the smallest common multiple of 6 and t(-7).
6
What is the least common multiple of (6 - (-2 + 4)) + (1 - -1) and 21?
42
Suppose 3*x = -2*n, 4*n + 8 = x + 2*n. What is the least common multiple of -1 - (-10 - (-4)/(-2)) and (-98)/(-21) - x/(-6)?
55
Suppose 0*u - 36 = u. Let f = 10289 + -185345/18. Find the common denominator of (2/u - -2)*-3 and f.
18
Suppose -3*x = j + x + 9, 21 = 3*j - 4*x. Suppose m - 3 = 0, j*m = 3*g + 2*m + 60. Let l = -9 - g. Calculate the least common multiple of l and 10.
10
What is the common denominator of 143/234 - 6/(2/(-1)) and -23/3?
18
Suppose -2*o - 39 = -7. Let a = -10 - o. What is the lowest common multiple of a and ((-18)/(-12))/(6/40)?
30
Suppose -4*j + 146 + 70 = 0. Suppose -5*i = -1 - j. What is the least common multiple of i and 1?
11
Let l(s) = s**3 - 5*s**2 - 6*s + 5. Suppose 0*q + 2*q = -5*m + 15, 3*q = -3*m. Calculate the smallest common multiple of l(6) and m.
5
Let x be (-457258)/(-77630) + (-4)/(-10). Let i = 5/1109 - x. What is the common denominator of i and (-2150)/(-240) - 1/3?
56
Let m = 5 - 3. Suppose 908 = m*s - 614. Let u = s - 3782/5. Calculate the common denominator of -19 and u.
5
Let y be (-2)/(-3) - (-15)/(-9). What is the common denominator of y + 26/(-22) + -2 and -2 + 20/11 + -1?
11
Let j(n) = n**2 - 3. Let d(h) = h**2 - 7. Let a(x) = -2*d(x) + 5*j(x). Let w be a(1). Calculate the common denominator of -41/14 and w/2 + 219/18.
42
What is the common denominator of (278/(-92) + 3)/(2/196) and 8?
23
Let v(t) = 1 + 0 - 5*t + 18*t. Calculate the least common multiple of v(1) and 6.
42
Let t = -10261/4564 - 2/1141. Let n = 4 + 69. Find the common denominator of (n/5)/((-9)/15) and t.
12
Let v = 7471/14 + -534. Find the common denominator of v and 47/8.
56
Let w = -107113/30 + 10678/3. What is the common denominator of w and -53/12?
60
Suppose -4*n + 12 = 4. Suppose 0 = 2*k + 8, q + 2*k + 14 = -n*k. Calculate the least common multiple of 4 and q.
4
Suppose l = -5*v + 44, -v - 4*l = 3*v - 48. Calculate the lowest common multiple of 9*1 - (0 + 1) and v.
8
Let l = 1748 - 8789/5. What is the common denominator of l and -55/6?
30
What is the lowest common multiple of 11 and 220/(-33)*(-6)/5?
88
Suppose 2*m - 4*m = 1102. Let w = -2802/5 - m. Let l = 589/3 + -202. Calculate the common denominator of l and w.
15
Suppose -o - 3*i - 2*i = -32, 8 = o - i. What is the lowest common multiple of o and 6?
12
Calculate the common denominator of ((-14)/16)/(1/(-4)) and -43/8.
8
Let q = 1 - 13. Let g be (-22)/(-6)*18210/q. Let s = g + 5549. Find the common denominator of s and 35/6.
6
What is the lowest common multiple of 18 and (-3)/(-2) - (-162)/36?
18
Let m be (-332)/5 + 8/20. Calculate the lowest common multiple of 9 and ((-3)/6)/(3/m).
99
Find the common denominator of 13/25 and (14/10 - 1)/(2/(-9)).
25
Let w = 10 + -3. Calculate the smallest common multiple of 14 and w.
14
Suppose -b - 3*s = b + 4875, 5*b - 3*s = -12219. Let n be ((-214)/(-48))/(2/b). Let d = -5454 - n. Find the common denominator of d and -137/6.
24
Let i(t) be the third derivative of t**6/120 + t**5/10 - 7*t**4/24 + 5*t**3/3 - 3*t**2. What is the least common multiple of 14 and i(-7)?
70
Suppose 0 = 2*p + 1 - 11, 2*p + 6 = 4*j. Let o = 1 + 0. What is the least common multiple of j and o?
4
Suppose -1 = a - 12. Calculate the least common multiple of a and 1.
11
Let w = 3 - 15. What is the lowest common multiple of 8 and (4 - w/(-5))*5?
8
Suppose -l - 4*k = 8, k = 4*l - 8*l + 13. Let r(x) = 7 - l - x + 0. Calculate the smallest common multiple of r(-5) and 10.
40
Let l = -2 + 1. Let c = 23 + -20. What is the smallest common multiple of (-2 + 1 + -2)/l and c?
3
Suppose a + 3*c = 5, -3*c + 1 = 4. Suppose 3*o + 4 = 10. Calculate the least common multiple of o and a.
8
Let d = 27/61 - -2027/244. Find the common denominator of d and 77/6.
12
Let r(t) be the third derivative of -t**5/60 + 3*t**4/8 - t**3/3 - 2*t**2. Let z = -23 + 41. What is the lowest common multiple of z and r(6)?
144
Suppose -2*h = y - 3, -3*y - 2*h = -4*h - 33. Let o = -2 - -3. Calculate the least common multiple of o and y.
9
Calculate the smallest common multiple of ((-9)/(-2))/(27/36) and 4.
12
Calculate the common denominator of 61/2 and 7/(-21) - (-73)/6.
6
Let x = 109/10 + -86/15. Calculate the common denominator of x and 23/20.
60
Let l = 48 + -47. What is the smallest common multiple of 8 and l?
8
Let z(b) = -b + 4. Let f be z(6). Let m be (f + 2)/2 + -2. Find the common denominator of (-719)/42 - m/7 and -5/4.
12
Suppose 4*f - 3 - 1 = 0. Calculate the lowest common multiple of f and 6.
6
Let w(a) = 3*a - 1. Let k(g) = 3*g - 1. Let s(j) = 3*k(j) - 2*w(j).