pose 2*m + 0*m - 10 = 0. Suppose 0 = -m*k + k + 12. Find the common denominator of (k/(-14))/(21/(-595)) and -87/20.
140
Let a be (2 + 13/(-5))*5. What is the lowest common multiple of 20 and (a + (-2)/(-2))*-4?
40
Let k = 7289 - 80232/11. Find the common denominator of 124/6*3/5 and k.
55
Suppose 2*t + 508 = -p, 3*p = -3*t - 341 - 424. Let v = -127 - t. What is the common denominator of 3 + (-2 - 33/v) and 81/22?
462
Let s = 85 + -60. Find the common denominator of (s/14)/(18/21) and (44/(-10))/(6/10).
12
Suppose 6*c + 9 = 3*c, -8 = b + 5*c. Suppose 5*p + 29 = -5*u + b*u, -u - p = -11. What is the least common multiple of u and 6?
12
Let w(p) = 2*p + 1. Suppose 7*h - 81 = 101. What is the lowest common multiple of 4/h - 152/(-26) and w(5)?
66
Let l = -3082/5253 + 16/103. Calculate the common denominator of l and -37/15.
255
Find the common denominator of (295/(-25))/((-16)/(-10)) and ((-1)/(-1))/(4/(-85)).
8
Suppose 5*k + 2 = -3*y, -2*k + k - 3*y = 10. Suppose -4*f + k = -3*f. Suppose -6 + f = -d. Calculate the smallest common multiple of d and 24.
24
Suppose 6*q + 0 = 6. What is the common denominator of (2/q)/(8/122) and 39/5?
10
Let r = 3/14 - -99/28. Find the common denominator of -89/26 and r.
52
Suppose -s + 49 = 4*s + 3*p, 4*s + 5*p - 47 = 0. Suppose 3*w = s + 34. Let d = -11 + 21. Calculate the lowest common multiple of w and d.
70
Suppose -r + 1 = -0. Suppose -k + 2 = -r. Calculate the lowest common multiple of k and 8.
24
Let d(s) = s**2 + 2*s - 2. Let g be d(0). Calculate the common denominator of -49/32 and (-1)/(-6)*(-79)/g.
96
Suppose 2*v = 2*w, 0*v - 2*w - 15 = 3*v. Find the common denominator of (-2254)/(-69)*v/(-32) and -103/20.
80
Let n(u) = u**3 + 9*u**2 - 10*u + 2. Let s be 608/(-60) + 6/45. Let v be n(s). Calculate the lowest common multiple of 2 and (v/(-3))/(12/(-198)).
22
Let n = 305/944 + -126/59. Find the common denominator of 117/310 and n.
2480
Calculate the common denominator of 37/48 and (-741)/1935 + (-45)/(-75).
2064
Suppose 3*x = b + 42, -49 = -x - 3*x - b. Suppose -4*c = 1 - x. What is the least common multiple of c and 87?
87
Let y(n) = 39*n**3 - 3*n**2. Let f be y(2). Suppose -4*v = v - f. What is the lowest common multiple of 4 and v?
60
Suppose -b - 9 = -v, b + 4*v = -0*v + 6. Let i = 4 - 10. Calculate the smallest common multiple of (8/i)/(b/27) and 6.
6
Calculate the common denominator of (-121)/120 + (-24)/(-32) and -46/25.
600
Let b = -11 + 21. Suppose 98 - 2 = 8*q. Calculate the least common multiple of b and q.
60
Suppose -2*h = -4*h + 2. What is the common denominator of (747/(-18))/(11/h) and 57/22?
22
Let z(a) = a**2 + 1. Suppose 0*g - 21 = 3*g. What is the lowest common multiple of z(g) and 14?
350
Let u(c) = 9*c**2 + 4*c + 2. Let r be (-3)/3 + (7 - 8). Let g be u(r). Find the common denominator of 2/g*678/4 and 46/21.
210
Let j(m) = -4*m - 2*m + 3*m - 3*m + m**2 - 13. Calculate the least common multiple of j(8) and (10/(-6))/(3/(-9)).
15
What is the lowest common multiple of 209 and (88/(-6))/(16/(-120))?
2090
Let m(x) = -5*x**2 - 32*x - 13. What is the smallest common multiple of 68 and m(-5)?
748
Let v = 447133/22 - 20320. Let g = 1085 + -10763/10. What is the common denominator of v and g?
110
Let d(k) = 2*k - 8. Let t be d(6). Suppose t*o - 61 + 21 = 0. Suppose 667 = 5*g + 547. Calculate the least common multiple of g and o.
120
Suppose -4*f - 2*w - 3*w + 164 = 0, w - 4 = 0. What is the lowest common multiple of 32 and f?
288
What is the common denominator of (((-172)/(-152))/1)/((-45)/30) and -77/96?
1824
Suppose 5 = i - d, i = -0*d - 2*d - 7. Calculate the common denominator of 3 and (195/36 - 2)*(3 + i).
3
Let q(s) = -2*s**3 - s**2 + 8*s - 1. Find the common denominator of 24/251 and q(3).
251
Let z(c) = c**3 - 6*c**2 + 3*c + 2. Let h be z(3). Let u = h - -27. What is the smallest common multiple of u and 10?
110
Let b(a) = -2*a**2 - 40*a - 182. What is the lowest common multiple of b(-10) and 146?
1314
Let k = 142371 + -11104781/78. What is the common denominator of k and 89/2?
78
Let c = -2350179151403/4221 + 556782546. Let i = c - -2/603. Find the common denominator of (-1)/5 + 669/120 and i.
56
Let n(q) = -6*q + 6. Let l(w) = w + 1. Let s(x) = 4*l(x) + n(x). Let c(r) = r**3 + 2*r**2 + r + 1. Calculate the lowest common multiple of c(-1) and s(0).
10
Let r be (-9)/15 + 96/10. Suppose -q - 63 = -5*f + q, -f - 5*q = r. What is the smallest common multiple of 11 and f?
11
Let k = 58 - 28. Calculate the least common multiple of 1 and k.
30
Let j(h) be the second derivative of -h**5/20 + 11*h**4/12 - 4*h**3/3 - 6*h**2 - 27*h. What is the lowest common multiple of 8 and j(10)?
8
Let r(h) = h**3 - h**2 - h. Let g(b) = -3*b**3 + 13*b**2 + 13*b - 15. Let v(a) = -g(a) - 4*r(a). What is the least common multiple of 18 and v(-9)?
288
Suppose -3*b + 51 + 3 = 0. Calculate the common denominator of (-12)/8*(-34)/b and 35/4.
12
Let y(o) = o - 4. Let l be y(4). Let r be -2 - (-4)/12*l. What is the smallest common multiple of 10 + 4*(-1)/r and 12?
12
Let s be (156/18)/(-2) - 1/(-3). Calculate the common denominator of -113/12 and (106/s*-2)/(-10).
60
Find the common denominator of 147/(-200) + (-35)/(-175) and 19/56.
1400
What is the common denominator of -59/6 and 5/366*165/143?
4758
Suppose 2*k + 15 = -3*k. Calculate the smallest common multiple of 4 + (-8 - -4) + 4 and 4 + 3*k/(-9).
20
Let d be 1/(((-2)/(-7))/((-20)/(-35))). Suppose -d*u + 2*k = -30, -4*k + 60 = 5*u - 6*k. What is the least common multiple of u and 16?
80
Let y = 367 + -3998/11. Find the common denominator of y and -31/58.
638
Suppose -33 = -13*c + 97. Suppose -4*f + 0*f + 64 = 0. Calculate the lowest common multiple of c and f.
80
Let b = 122/243 + 12625/5346. Let i be 2/(-4) - 1641/(-26). Let a = 7227/104 - i. Calculate the common denominator of b and a.
88
Let n(k) = k + 23. Let o be n(-18). Suppose 2*l - 9 = 4*f + 43, -o*f = -2*l + 56. What is the smallest common multiple of l and 4?
36
Let j be (33/(-6))/(1/(-6)). Suppose 0 = 3*m + m - 5*s - 47, -j = -3*m + 3*s. Calculate the lowest common multiple of 2 and m.
8
Let l(r) = 2*r + 1. Let z be l(2). Suppose f + 1935 = c, 5784 = 2*f - z*f - 4*c. Let s = f + 11555/6. Find the common denominator of -24/7 and s.
42
Suppose 0 = 4*s + 5*s. Suppose s = 2*w - 13 + 1. Calculate the smallest common multiple of w and 11.
66
Let g = -85 - -67. Suppose 129 + 121 = -5*f. Calculate the common denominator of f and (-124)/(-2)*(53/g + 3).
9
Let m(v) = v**2 - 1. Let r be m(1). Suppose k + 6 = -r*k. Let y = k - -18. What is the least common multiple of y and 8?
24
Suppose 0 = 2*q + q - 7*q. Suppose 5*g - g - 4*s - 24 = q, -4*g + 36 = -s. What is the smallest common multiple of 4 and g?
20
Let t(g) = -g**2 + 13*g - 10. Suppose -27 = 17*r - 20*r. Calculate the least common multiple of t(11) and r.
36
What is the common denominator of -3 - 3834/(-336) - 8 and -109/434?
1736
Let v(r) = -12*r + 36. Let f be v(7). Find the common denominator of 308/f - 16/(-12) - 2 and 101/32.
96
What is the smallest common multiple of 63 and 2 + 14/3 + (-6)/(-18)?
63
Let a = 1016 - 14269/14. Let d be 499281/(-70) - 5/25. Let k = d + 7128. Find the common denominator of k and a.
14
Let r(z) = -27*z - 20. Let o be r(-11). Suppose -4*y = l - 371, -3*y = l - 0*l - o. Calculate the lowest common multiple of y and 20.
940
Suppose 3*d + 2*p - 56 = 0, 56*d + 2*p = 51*d + 92. What is the smallest common multiple of d and (-5)/20 - (-147)/12?
36
Let g be ((-4363)/50)/(4/(-190)). Let y = -10251 - -6107. Let m = g + y. Find the common denominator of -83/14 and m.
140
Suppose -3*h - 4*d + 286 = 0, 0 = -0*h + 5*h - 4*d - 466. Suppose 4*w - 100 + 20 = 0. What is the lowest common multiple of w and h/6 + (-17)/(-51)?
80
Let r be -6 + -11 + (-4)/4. Let l = r - -27. Suppose -4*w + 4 = -b, 2*b - 4 = 6*w - 4*w. Calculate the smallest common multiple of w and l.
18
Suppose 2*c - 5*l - 67 = -26, -2*l = -5*c + 92. Let g(p) = -p + 10. What is the lowest common multiple of g(0) and c?
90
Suppose 27*d - 195 = 210. What is the least common multiple of d and 66?
330
Let x be 2818382/(-63) + 4/18. Let i be 150542/x - 5/(-15). Let c = i + 1/1864. Calculate the common denominator of c and 17/8.
32
Let c(l) = l**3 - 2*l - 7*l**2 + l - 10 + 0*l**2.