e ((-6)/27 + (-582)/(-27))*3. What is the common denominator of -119/20 and (136/q)/(14/8)?
140
Suppose -36 = -11*b + 2*b. Suppose 2*d + b*s = 44, 5*d - 99 = -4*s + 29. Calculate the common denominator of d and -13/8.
8
Let r(l) = 3*l + 20. Let h be r(13). Calculate the common denominator of -91/6 and h/8 + (7 - 3).
24
Suppose -5*h + 0*h + 35 = 0. Suppose 39*p - 43*p = -96. What is the least common multiple of p and h?
168
Calculate the common denominator of 17/24 and 5 - ((-49)/(-21) + -9).
24
Let b = 21 + -12. Suppose 10*n - 5 = b*n. Calculate the least common multiple of 4 and n.
20
Let k = 6/1685 + 6367/10110. Find the common denominator of -29/34 and k.
510
Let f = 1 - 9. Let c = -2218 + 8793/4. Calculate the common denominator of c and (1818/(-135))/(f/(-6)).
20
Let k be (-4)/(-10) - (0 + (-3736)/60). Let a = k + -63. Calculate the common denominator of a and 13/6.
6
Suppose 0 = 4*u - 8*u + 224. What is the lowest common multiple of 4 and u?
56
What is the common denominator of 7 - 2 - (2 + (-1235)/(-400)) and -31/48?
240
Let n = -1970161/84619886 - 62/32773. Find the common denominator of -13/2 and n.
2582
Let b be (2/(-5))/((-1)/(-5)). Let y = 0 - b. Suppose -5*r - 3*x + 66 = 7, -r + 19 = 3*x. What is the lowest common multiple of r and y?
10
Suppose -77 = -2*o + a - 4*a, 0 = 4*o - 2*a - 178. Suppose -5*m = 5*s - 2 - o, 41 = 4*s + 3*m. Calculate the lowest common multiple of s and 10.
70
What is the common denominator of -103/50 and (4/12)/(50/(-219))?
50
Let u be (-2)/(20/(-4) - -3)*10. What is the lowest common multiple of (-44)/u*10/(-4) and 11?
11
Let x(d) = -3*d - 10. Let g be x(-4). Calculate the common denominator of (-100)/(-16) + -2*g and -55/18.
36
Suppose -57*f + 250 = -52*f. What is the smallest common multiple of f and 10?
50
Suppose -k - 5 = 4*m - 7, 4*k = -8. Calculate the smallest common multiple of m and 38.
38
Let t(h) be the second derivative of h**5/20 - 7*h**4/12 + h**3/3 - 3*h**2 - 21*h. What is the lowest common multiple of 4 and t(7)?
8
Calculate the common denominator of ((-218)/100)/(-4*(-5)/25) and -26/55.
440
Suppose -l = -5*h - 124, -8*h + 54 = -10*h - 4*l. Find the common denominator of -58/9 and 0 + 5/h - 41/120.
72
Let t = 13 + -13. Let o = 24 + t. Find the common denominator of -28/3 and (-10)/(-1)*(-51)/o.
12
Let w be (-129)/(-1 - (-10)/12). Let y = -333729/4 - -82644. Let g = y + w. Calculate the common denominator of g and -32/5.
20
Let y = 34955/2796 - -19/233. Calculate the common denominator of y and -19/189.
756
Let z be 41039/(-2)*(-137695)/(-404). Let n = z + 6993635. Let p = 31/101 + n. Calculate the common denominator of -23/20 and p.
40
Let m = -8 - -23. Let l = m - 21. Calculate the lowest common multiple of (-4)/l - 5/(-15) and 6.
6
Let h be (-7)/(-35) + ((-336)/(-185))/2. Let s = -1903/148 + h. Calculate the common denominator of -99/8 and s.
8
Let w be -1 + -2494*65/(-162106). Let f = w + 34447401/5025286. Let t = -20/31 - f. Calculate the common denominator of -13/14 and t.
14
Find the common denominator of (3/15)/((-248)/190) and 71/22.
1364
Suppose 7*d + 51 = -208. Let w = d - -51. Calculate the lowest common multiple of 2 and w.
14
Let s = 25 - 20. Suppose 2*m - 8 = -n - m, -14 = -2*n - s*m. Let x = 31 - 25. What is the lowest common multiple of x and n?
6
Suppose 0 = -2*f - 4*f - 18. Let d be f + 21/(-156)*-29710. Let c = d + -3995. What is the common denominator of c and -123/20?
260
Let m(w) = -w**3 - 7*w**2 - 5*w + 12. Let s be m(-9). Suppose -2*j + s = j. Find the common denominator of (-12)/3 - j/(-6) and -101/20.
60
Let l = -4688723/252 + 18606. What is the common denominator of 39/16 and l?
1008
Let a(f) = -14*f - 22. Let q be a(-3). Suppose 0 = -5*z - 2*s + 8, -z + 1 = -s - 2. What is the least common multiple of (3/(-1) + 0)/((-30)/q) and z?
2
Let y(w) = w**3 - 19*w**2 + 7. Let m be y(19). Suppose m*t - 3*t = 172. Find the common denominator of -70/57 and t.
57
Suppose -2*o = 103 - 123. Calculate the least common multiple of o and 60.
60
Suppose 5*w = -2*o + 16, -3*o + 7 = -2. Suppose w*u + 17 = 57. What is the lowest common multiple of 26 and u?
260
Let q = -64 - -68. Suppose -4*x = -2*a - 4, q*a + a + x - 45 = 0. Calculate the lowest common multiple of a and 4.
8
Let x(a) = -a**3 - a**2 + 7*a + 66. What is the smallest common multiple of 84 and x(0)?
924
Let w be -1 + 26/22 - 602/(-77). Suppose w*i + 15 = 111. Calculate the least common multiple of 20 and i.
60
Let z(y) = 6*y**2 - 3*y - 3. Suppose 0 = 5*b + 43 - 33. Calculate the least common multiple of z(b) and 15.
135
Let m(c) = 2*c**2 - 4. Let w = -45 + 52. Calculate the least common multiple of w and m(-3).
14
Let j = 54 + 171. What is the least common multiple of 9 and ((-6)/(-10))/(-3*(-3)/j)?
45
Suppose 16*x - 7*x = 54. What is the smallest common multiple of x and 114?
114
Suppose 0 - 6 = -2*a. Let u(l) = -233*l**2 + 3*l - 2. Let m be u(a). Let n = m - -18877/9. What is the common denominator of 23/9 and n?
9
Let i(o) = -o**3 + 16*o**2 + 15*o + 44. Suppose b - 5*m - 33 = 0, -3*b + 20 = 2*b + 4*m. Calculate the smallest common multiple of b and i(17).
40
Suppose 5*v - 2*s - 1870 = 0, 61 = v - 3*s - 326. Calculate the common denominator of 16/12*41/(-4) and ((-4)/(-60))/((-4)/v).
15
Suppose 369 = 35*g + 88*g. Let b = 2 - 1. Let q = b + 2. What is the lowest common multiple of g and q?
3
Let x = -14 + 15. Let p be -15*((-8)/(-12) - x). Suppose p*a - 20 = 3*a. Calculate the least common multiple of 7 and a.
70
Let m = -12 + 17. Suppose -4*u = m - 29. What is the least common multiple of 8 and u?
24
Suppose 210 = 3*i - 519. Calculate the smallest common multiple of 33 and i.
2673
Suppose -4*b = 2*k + 2*k - 24, 0 = -4*k + b + 19. Suppose 4*y = k*t + 55, y - 3*t + 1 - 6 = 0. What is the least common multiple of y and 22?
220
Let g = 20278757/26815520 - -3/167597. Calculate the common denominator of g and 91/24.
480
Let f = 387055/36 + -10755. Find the common denominator of f and 47/4.
36
Let y = 23236/11 - 2109. Find the common denominator of 788/(-180) + (-6)/27 and y.
55
Find the common denominator of 530/(-96) + (9 - -2 - 8) and -41/24.
48
Let s = -227 + 247. Let z be (-2)/(-8) + (-376)/(-32). Suppose z = 4*f - 60. What is the smallest common multiple of f and s?
180
Suppose 75 + 65 = 7*z. Suppose 4*g - 4*v = 2*g + 68, 0 = -4*g + 2*v + 118. What is the lowest common multiple of g and z?
140
Let a = 9331/4020 + -81/134. What is the common denominator of a and 139/18?
180
Let j(u) = -25*u**3 + u**2 + 14*u + 13. Calculate the lowest common multiple of j(-1) and 20.
100
Calculate the common denominator of 62/21 and -6 - (-9)/((-729)/(-505)).
567
Suppose 6 + 3 = -3*t, -q = -2*t - 8. Suppose -4 - 20 = 3*x. Let r(i) = -i**3 - 8*i**2 + i + 9. What is the lowest common multiple of q and r(x)?
2
Suppose -i = 4*a - 405, -a - i - 4 + 103 = 0. What is the least common multiple of a and 69?
2346
Suppose -5*p = -17*p + 864. What is the lowest common multiple of 81 and p?
648
Let n = -564/17 - -8661/238. Let q = -9300 - -204539/22. Find the common denominator of q and n.
154
Let v(q) = q**3 + 2*q**2 - 3*q - 1. Let l be v(5). Find the common denominator of 8/5 and l/9 + -3 - 0.
15
Let v = 957 + -940. Let b(x) = 2*x**2 - 5*x + 3. Calculate the lowest common multiple of v and b(3).
102
Suppose -f + 3*k = 3*f + 33, 2*f - k = -19. Let s = -2 - f. Calculate the smallest common multiple of s and 22.
110
Let r = 5/3684 + -72779/14736. Let g be (-8222)/(-176)*(116/(-37) - -3). Let h = g + 3/6512. Calculate the common denominator of h and r.
16
Let j = 71 + -57. Suppose -2*g - 1 + 3 = 0. Let p = g + 5. What is the smallest common multiple of j and p?
42
Suppose 0 = 10*a - 11 - 29. What is the lowest common multiple of 5 and a?
20
Let k(l) = -l**3 - 5*l**2 - 6*l - 1. Let w be k(-4). Calculate the common denominator of 19/(-1)*((-35)/(-22))/w and 41/18.
198
Let t be (32/24)/((-1)/48). What is the common denominator of 43/2 and 1 + 0 + ((-1512)/t)/9?
8
Suppose 5*k - 4*z + 9*z = 30, -k + 2*z + 6 = 0. What is the least common multiple of (-4)/(-50) - (-12284)/2075 and k?
6
Let j(w) = -w**3 + w**2 + w + 10. Let d be (-1)/(((-16)/(-4))/12) + -54. Let s = d - -61. Calculate the lowest common multiple of j(0) and s.
20
Let p = 21209/18 - 1176. Wh