15/32 - 3771. Calculate the common denominator of 43/(-168) - ((-10)/6 + 2) and i.
224
Suppose -52*t = -47*t. Suppose t*s + 60 = 3*s. Calculate the lowest common multiple of s and 40.
40
Let h = 38595 - 37699. What is the smallest common multiple of 10 and h?
4480
Let a = 31483/9692 - -4/2423. Let r = 488463 + -2450767/5. Let m = r - -1680. Calculate the common denominator of m and a.
20
Let k = 16060 + -1300843/81. Let m = -29011/2508 - 10/627. Calculate the common denominator of k and m.
324
What is the smallest common multiple of (-1 - -2 - -149)*-9*(-220)/297 and 25?
1000
Let p = 2 + 16. Suppose -4*m = 24, 20*n + 5*m = 21*n - 72. Calculate the least common multiple of n and p.
126
Suppose -2*h = h, 5*p + 2*h = 0. Suppose 3 = -0*l + 3*l, p = -3*k + 3*l + 282. Calculate the least common multiple of 12 and k.
1140
Let z = -457 - -469. What is the common denominator of 41/23 and 13/((-702)/z)*71/2?
207
Suppose 2*p + 4*y - 764 = 0, 65*p - 2*y = 69*p - 1486. What is the least common multiple of p and 391?
6256
Let w be -3 - (-5 + 6 - 36). Suppose -26*r + 30*r = w. Suppose r*s = 77 - 21. Calculate the least common multiple of 7 and s.
7
Suppose 2*k - 43 = -w, -33 + 32 = k + 5*w. What is the least common multiple of 120 and k?
120
Let f be -2 + 4 - (-3 + -17). Let j = 34 - f. Let u(s) = s + 7. Calculate the lowest common multiple of j and u(-6).
12
Suppose -2*x + 7*x + 42 = -h, 0 = 2*h + 5*x + 84. Let t = 519 - 505. Find the common denominator of ((-194)/(-36))/(t/h) and 91/24.
24
Let f = 206 + -182. Calculate the common denominator of 29/52 and ((-303)/f)/((-7)/(-7)).
104
Suppose i + 23 = -58. Let c = i + 85. Suppose -20 = c*d + 5*a - 61, -37 = -3*d - 5*a. Calculate the lowest common multiple of 10 and d.
20
Let s(o) be the first derivative of -21*o**2/2 - o - 22. Let h be s(1). What is the common denominator of 2/h + (-4 - -4) and 30/7?
77
Calculate the common denominator of 100/(-1500)*(-1 - (-25)/(-6)) and -151/72.
360
Calculate the least common multiple of 8 + -11 + 184 + 6 and 66.
1122
Suppose 0 = 438*n - 396*n - 93408. What is the least common multiple of 556 and n?
2224
What is the common denominator of (-2979)/3276 - 9/((-126)/8) and 43/52?
364
Let z(k) = -2*k**2 - 45*k - 22. Let g be z(-22). Suppose 0 = 3*m + 4*j - 2*j - 38, g = -2*m - j + 24. Calculate the least common multiple of 45 and m.
90
Suppose 2*o - 4*m - 328 = 0, -16*o = -18*o - 5*m + 346. What is the lowest common multiple of o and 126?
504
Let t = -170/173 + 216500/215039. Calculate the common denominator of t and 42/565.
6215
Let g(z) = z**2 + z + 1. Suppose -4*m - 2*y - 4 = -2, 3*m + y + 3 = 0. What is the least common multiple of g(-2) and (m - (24/(-10) + 0))*30?
12
Let q = 297 + -297. Calculate the lowest common multiple of (4 - -2)/2 - q and 72.
72
Suppose 49*t + 34535 + 90681 = 101*t. Calculate the least common multiple of t and 38.
45752
Find the common denominator of 6/164*217/21 and (9/(-7))/((-110)/165).
574
Let k be (73 + 0)/(49/(-245)). Let o = 541 + k. What is the least common multiple of 96 and o?
1056
Suppose -4*l = -5*z + 8, -3*z - 2*z + 23 = l. Let m be (-2)/(-13) - 12*1169/91. Let s = m + 165. Calculate the smallest common multiple of s and z.
44
Let w(h) = -h - 4. Let u(z) = -z**2 + 6*z + 6. Let y be u(8). Calculate the lowest common multiple of w(y) and (36/8)/(-3)*(-52)/2.
78
Let w be 4/18 - (21/27)/(-1). What is the least common multiple of 14 and 5 - (27 + w)/(-4)?
84
Suppose -2*z + 36 = -5*z. Let i = -19045 + 228691/12. What is the common denominator of i and ((-49)/14)/(z/13)?
24
Let j = 35 - 55. Let g be 5187/26*j/(-3). Calculate the common denominator of 1 + -6 - g/(-270) and 17/27.
27
Let o = -54 + 433/8. Let n be (20/16)/(-5) - 94/(-24). Let m = n - -19/30. Find the common denominator of m and o.
40
Suppose -4*s - 27 = -3*s + 5*n, 0 = 2*s - 2*n - 6. Let j = -2204 - -2216. Calculate the smallest common multiple of 21 and (1*(-18)/4)/(s/j).
189
Let p = 26/755 + 476/1963. What is the common denominator of p and -24/25?
325
Suppose 5*f = 2*a - 13 - 34, 6 = 2*f. Suppose 4*b - q = 55 + 14, 0 = 5*q + 25. What is the lowest common multiple of a and b?
496
Let y = -1511209/60 - -25187. Calculate the common denominator of -13/324 and y.
1620
Let m be ((-884)/85)/(3/(-105)). Suppose 3*k = 10*k - m. Calculate the smallest common multiple of 4 and k.
52
Suppose 0 = 3*r - 5*q + 39077, 10*q = 5*q - 10. Let f = r + 182295/14. Find the common denominator of f and -11/298.
2086
Suppose -2*j + 11 + 13 = 0. Let r be (51 + 324)*(-4)/10. Let s = r + 198. Calculate the lowest common multiple of j and s.
48
Find the common denominator of 95/84 and (5*4/20)/(364/115).
1092
Find the common denominator of (-23 + 296/(-8))*(-3)/(-172) and -5/11.
473
Suppose -4*c - 10*w = -6*w - 140, -18 = 3*w. Calculate the least common multiple of c and 43.
1763
Let d(h) be the second derivative of 7*h**3/6 + h. Calculate the lowest common multiple of 36/594*(20 + -2)*11 and d(2).
84
Suppose 32*q - 740 = 22*q + 2720. Calculate the least common multiple of 7 and q.
2422
Let g(y) be the second derivative of y**5/20 - 2*y**4/3 + y**3/2 - 3*y**2 - 47*y. What is the least common multiple of g(8) and 16/6*33/4?
198
Let d = 9/268873024 - 16345261660667/116959765440. Let u = -3684/29 - d. Let r = -23/3 + u. What is the common denominator of r and -59/14?
140
Let r(d) = 14*d**2 - d + 47. Calculate the lowest common multiple of 32 and r(5).
1568
Let p be (-62 - 56/(-8))/(-1 + 2). What is the common denominator of (5/(-18))/(p/1749) and -131/30?
30
Suppose -5861 - 8874 = -18*d - 2855. What is the lowest common multiple of 100 and d?
3300
Let z(d) = -1597*d - 22330. What is the lowest common multiple of ((-8)/6)/((-3)/54) and z(-14)?
168
Let x = 1753556 + -21098717/12. Let j = x + 4665. What is the common denominator of 13/45 and j?
180
Let z(k) = -k**2 + 18*k - 29. Let m be z(16). Find the common denominator of m/12 - (-76)/160 and 54/55.
440
Let u(v) = v**2 - v + 10. Let y be 2 - -2 - (-8 - -5). Suppose -y + 7 = 3*g. What is the smallest common multiple of 1 and u(g)?
10
What is the lowest common multiple of ((414/483)/((-3)/30))/(4/(-602)) and 15?
1290
Let f = -184 - -90. What is the lowest common multiple of 8 and 3/24 + (1 - f/16)?
56
Let b(v) = -8*v**2 - 32*v - 5. Let x be b(-4). Calculate the least common multiple of (-2 - -200)/(x - (3 - 9)) and 27.
594
Let h be 2/(-5) + (-2)/(288/(-712)). Let c = h - 40/9. Find the common denominator of 39/11 and c.
110
Let h be (-25)/5 + (-10 - -5)/(-5). What is the least common multiple of 96 and (h/6)/(57/(-3078))?
288
Let z = 15251444/222019 - 3366/49. Let b = 1/222640383753 - -81688315281426359/52456746096811836. Let x = z + b. Find the common denominator of x and 85/8.
104
Suppose -20*q = n - 24*q - 4, 5*q - 25 = 0. What is the least common multiple of n and 7455?
59640
Let f = 26491 - 635681/24. Find the common denominator of f and 12/(-70)*(-830)/1494.
168
Suppose 1482 = 13*a - 0*a. Let b be (3 + (-14268)/(-8))/(a/(-8)). Let m = -126025/1026 - b. Calculate the common denominator of m and -45/8.
216
Suppose -2*g + 56 = -5*v, -3*g + 3*v + 94 = 10. Suppose -51*b + 575 = -g*b. Calculate the least common multiple of b and 80.
400
Let i = 2481327 + -69426187/28. Let x = i + -1822. Find the common denominator of 31/16 and x.
112
What is the common denominator of -5/1008 and -49*(23 - 3852/168)?
1008
Let g = -997285/137034 - 1/7613. Find the common denominator of g and 791/154 + (-6)/2.
198
Let h = 87 + -78. Let q be -213*(-21)/h*1. Let l = -2989/6 + q. What is the common denominator of l and 111/110?
330
Suppose 24 = 8*n - 5*n. Let w = 1043 - 1027. What is the smallest common multiple of n and w?
16
Let v = 426 - 424. What is the least common multiple of 5 and v/70*5 - 1188/(-14)?
85
Let h = 656918/75 + -8759. Find the common denominator of h and -7/300.
300
Let k be (90/8)/((-11)/44). Find the common denominator of (8 + 712/(-80))/((-2)/k) and 13/4.
4
Suppose -b - b = 60. Let j = 881 - 899. Calculate the common denominator of (5525/j)/13*(-9)/b and -7/20.
60
Let q be 4 - 1 - (-2303)/3. Let l = -112673/26 - -2219707/624. Let u = q + l. Calculate the common denominator of -29/16 and u.
16
Let z = -778779/34 + 22903. Let k = 911/680 + z. Find the common d