est common multiple of 9 and -20 - (-9 - 0) - -329?
954
Let q be -9 + 10 + (5 - 1). Suppose 7*w - 2*w - 30 = -q*x, -4*w = -8. Suppose 56*b - 562 = -450. Calculate the smallest common multiple of x and b.
4
Let h be 0 + -1 + -3 + (-4)/(-4). Let v = 2 - h. Suppose p = v*p - 72. What is the smallest common multiple of p and 4?
36
Let c be (33/11 + -1 + -1)*-28117. Let m = c - -16220. Let x = -166673/14 - m. What is the common denominator of x and 71/18?
126
Let f be (2 - 0)/((-8)/(-148)). Calculate the lowest common multiple of 20 and f + (2/(-7) - 253/(-77)).
40
Suppose 0 = 4*l - 12 - 4. Calculate the least common multiple of 10/l*16/10 and (-16 - -22)*45/27.
20
Find the common denominator of 109/504 and (-8)/((-8064)/(-7400)) + (8 - 1).
504
Let l = -24 + 16. Let h(s) = -s**3 - 7*s**2 + 6*s - 10. Calculate the smallest common multiple of (-1083)/(-95) - (-6)/10 and h(l).
12
Suppose 0 = 2*z - 4*q - 162, -2*z + 162 + 7 = 3*q. Suppose 3*h - 157 = z. What is the smallest common multiple of h and 1*(-42)/(-5 + 2)?
560
Let g(w) = w**3 - 15*w**2 + 300*w + 20. What is the smallest common multiple of 2520 and g(10)?
2520
Let u = -4913 - -98177/20. Let l = 7350 - 558653/76. What is the common denominator of u and l?
380
Let q be 2/(-1 - (-84)/92). Let h = 19 + q. Let y(p) = 2*p + 10. What is the lowest common multiple of 15 and y(h)?
30
Let i = 23 - 8. Calculate the least common multiple of i and 90298/3588 + (-2)/12 + 0.
75
Let v = -2/152895 + 9020809/305790. Let a be ((-5326)/1920)/(3/(-6)). Let h = -143/30 + a. Calculate the common denominator of v and h.
32
Let m(j) = -10*j**3 - j**2 - 12*j + 17. Calculate the smallest common multiple of 34 and m(-3).
5338
Let f(z) = -z**3 + 5*z**2 + 5*z + 8. Let h be f(6). Suppose -32*a + 35108 + 17946 = 4638. Calculate the lowest common multiple of 38 and 1*(h/(-8) + a/68).
418
Let q(g) = g**2 + g + 8. Let b be q(0). Let m(v) = v**3 - 9*v**2 + 9*v + 12. Let a be m(b). Calculate the common denominator of -83/50 and 856/(-48)*(-6)/a.
100
Let q = 117 - 25. Let y = q - 90. Suppose -2*x - 13 + 41 = 0. What is the least common multiple of x and y?
14
Let s(n) = 10*n**2 + 25*n - 23. Let t(f) = -23*f**2 - 52*f + 45. Let q(m) = 7*s(m) + 3*t(m). Calculate the lowest common multiple of 6 and q(-25).
372
Let y = -10603/1148 + -4/287. Calculate the common denominator of y and (-2)/(-10) - ((-1606)/(-820) - 2).
820
Suppose -33*x = -13 - 86. Suppose 0 = -x*k + 2*s + 94, -2*k - 4*s = 2*k - 112. Calculate the smallest common multiple of k and 6.
30
Suppose 0 = -4*c - 4*k + 32396, 173*c - 32401 = 169*c + k. Calculate the smallest common multiple of c and 22.
89100
Let f(x) = -x**2 + 4*x + 91. Let l be (-64 + 60)/((-4)/11). What is the least common multiple of 560 and f(l)?
560
Let b be 2/(-4)*(-96)/3. Let g(r) = r - 23. Let d be g(b). Let k = d + 19. What is the lowest common multiple of 12 and k?
12
Let r(m) = -m**2 + 3. Let u(x) = 7*x**2 - 23*x - 11. Suppose 12*v - 38*v = -104. Calculate the lowest common multiple of r(0) and u(v).
9
Let c be 3/5 + (-442)/(-130). Find the common denominator of 107/114 and 34/(-272)*3/((-3)/c).
114
Suppose 85*j + 476*j - 2638954 - 1809215 = 0. What is the lowest common multiple of 90 and j?
79290
Calculate the common denominator of -31/30 and 76/(-1140)*(74/92 - 0).
690
Let b(k) = -17*k + 184. Let g be b(11). What is the common denominator of -41/33 and g*((-3552)/891 - -4)?
99
Suppose -114 = -5*g + 86. Let r = 33852 - 33817. Calculate the lowest common multiple of g and r.
280
Let c = 1034 + -818. Calculate the lowest common multiple of 288 and c.
864
Let y = -4684/9 - -327781/630. Calculate the common denominator of y and 341744/(-21624) + (-1)/34.
210
Find the common denominator of -43/88 and ((108/1806)/6)/((-7)/((-245)/40)).
3784
Let x = 633461/42 - 15091. Let s = x - -87/14. Find the common denominator of s and -65/56.
168
Let g(c) = -39*c - 1. Let r = -12857 + 12897. What is the lowest common multiple of r and g(-4)?
1240
Let m = 5309 - 10902. Let z = 89531/16 + m. Calculate the common denominator of z and 35/228.
912
Suppose -292 = 4*g + 1256. Let y = g - -31725/82. Let n = -4837/738 - y. Find the common denominator of n and 65/24.
72
Let c(u) = -7*u - 9. Let s be c(-2). Let y = 57/2 - 495/14. Find the common denominator of (-99)/30 + s/10 and y.
35
Let b be (-1102)/(-18) + (174/(-54) - -3). Let f = b + -122. Let q = f + 66. What is the lowest common multiple of 5 and q?
5
Suppose -132*h + 59808 = -76*h. What is the least common multiple of 2 and h?
1068
Let x(f) = -2*f**3 + 78*f**2 + 33*f - 92. Calculate the least common multiple of x(39) and 10.
2390
Let i(a) = 356*a**2 - 19*a - 40. Let b be i(-2). Let h = b + -12820/9. What is the common denominator of -97/306 and h?
306
Suppose -9*c - 8*c = -6681. Calculate the common denominator of c/(-60) + -3 - -6 and -23/28.
140
Suppose 0 = 81*x - 75*x - 2634. Let b = 917 - x. Calculate the lowest common multiple of b and 12.
2868
Suppose -2520*b + 2515*b = -40, -5*b = -2*k + 2314. Calculate the least common multiple of k and 10.
11770
Suppose -3*x - 4*h = -17, 5*x - 40 = 2*h - 3. Suppose o - 5*v = 30, 4*o - 67 = 5*v - x. What is the least common multiple of o and 29?
290
Let m = 4 - 7. Let x be (-7 + (-403)/(-39))*36/5. What is the common denominator of 134/x - (-2)/m and -54/5?
60
Suppose 15*b - 188 = -4*q + 25*b, 44 = q - b. Let r(f) = -f**3 - 2*f**2 + 8*f + 7. Calculate the smallest common multiple of q and r(-5).
42
Let j(u) = 9 + 85*u + 3*u**2 + 2 - 89*u - 2*u**2. Calculate the least common multiple of j(3) and 2/3 - 60/(-18).
8
Suppose 180*i - 155295 = -75*i. What is the least common multiple of 5481 and i?
5481
Let u be (2 + -1)*(43 - 1). Let s be (-42)/(-189) + (-520)/(-9). Let p = s - u. Calculate the lowest common multiple of 18 and p.
144
Let v(d) = 5*d + 9. Let j be v(10). Let l = j - 35. Let a(n) = -2*n + 8. Calculate the smallest common multiple of a(-5) and l.
72
Let g be (-2)/4 - ((-10)/4)/1. Suppose 5*h - g*k = 3*k + 60, 0 = -3*h + 2*k + 36. Suppose 56 = -10*p + h*p. What is the smallest common multiple of 14 and p?
28
Let g = 439 - 443. What is the smallest common multiple of g/6 - ((-3010)/15)/7 and 3*2 + -4 + 2?
28
Let a(v) = v**3 + 3*v**2 - 138*v - 30. Calculate the lowest common multiple of a(-13) and 1961.
3922
Suppose -j - s = 5, -12*s + 38 = 2*j - 16*s. What is the smallest common multiple of j and 1992?
1992
Let o(s) = s**2 + s - 2. Let l(k) = k**3 - 12*k**2 + 10*k - 138. Let w(b) = -l(b) + 2*o(b). What is the least common multiple of w(14) and 24 - (1 + 1*-1)?
264
Let r = 9162173/16 + -572355. Let x = r + -286. What is the common denominator of -109/12 and x?
48
Let a be 6/21 + (-48)/(-28). Let z = 35 - a. Let h = z - 31. Calculate the least common multiple of 14 and h.
14
What is the common denominator of (6/81)/(792/(-1647)) and 85/132?
396
Let b be 9846767/(-5012700) + -2 - -1. Let a = -2/25575 - b. Find the common denominator of 113/12 and a.
84
Suppose -4*d + 3*d = -36. Let l(b) = 7*b + 88. Let q be l(-8). Suppose u = -h + 5*u + q, 49 = 2*h - 5*u. Calculate the lowest common multiple of d and h.
36
Calculate the common denominator of 79/60 and -9 + ((-406)/(-232))/(10/41).
120
Let k = 328123/20 - 16402. Suppose 84*r + 72 = 78*r. Calculate the common denominator of k and (r/16)/(42/(-259)).
40
What is the common denominator of (-5)/(-10) - (-68)/(-55) and (-18)/(-4) + (-54378)/6360?
220
Suppose 17 = -49*y + 48*y. What is the common denominator of 139/60 and (-17 - -13) + (y/(-12))/1?
60
What is the common denominator of -39/16 and -2 + 2 + -3 - (-252560)/64320 - 1?
3216
Let t = 2881757/220 + -13099. Calculate the common denominator of t and -79/44.
220
Let v be 3/(-2)*(-8)/6. Let t(u) = -u**3 - 9*u**2 + 5*u - 4. Let x be t(-10). Suppose 14 = v*g - x. Calculate the least common multiple of 30 and g.
30
Find the common denominator of 71/952 and (9/24)/((-14637)/205).
952
Let n = 2329/1824 - -1/228. Calculate the common denominator of n and 23/1184.
1184
Let f(n) = -2*n**3 + 7*n**2 - 5*n - 8. Let t(m) = -m**2. Let c(h) = -f(h) + 2*t(h). What is the smallest common multiple of c(4) and 18?
36
Let h = -775/396 - -201/44. Let z = 481095089/156 - 3083922. Let y = z - 305/13. What is the common denominator of h and y?
36
