mon denominator of -145/24 and 54/(-176) - (-6 + 195/33).
264
Let z be (32/24)/((-2)/(-15)). Suppose z*m = 2*m + 80. Let g(h) = -h**2 - h + 4. Calculate the least common multiple of m and g(0).
20
Let y = 6107188/13 - 476371733/1014. Let g = y + 14/169. Find the common denominator of 15/2 and g.
6
Let i(p) = 3*p**3 - p**2 - p + 1. Let s be i(1). Calculate the common denominator of -5/8 and (-53)/(-8) + s + -3.
8
Let k be -3*(-1879 + 3 + -1). Suppose -o - 6477 = 2*i, -5*i + k = -o - 825. Let j = -103435/16 - o. What is the common denominator of -5/14 and j?
112
Find the common denominator of (-282)/(-810) + (-21)/(-70) and 65/18.
54
Let w(u) = 2*u + 10. Let z be w(-5). Suppose -5*v + 4*k - 1 - 13 = z, -v - 3*k + 1 = 0. Calculate the smallest common multiple of 1*v + (-1 - -25) and 4.
44
Let z be 18085/(-3444) + (-2)/(-7). Let f = z - 37/82. Find the common denominator of ((-14)/(-8) - 1)*34/(-33) and f.
132
Let v(b) = b**3 + 4*b**2 - 10*b + 4. Let n be v(-6). Calculate the smallest common multiple of ((-30)/(-8) - 2)*8 and (-5)/((14/n)/7).
140
Let r = 5923/6 - 981. Let i = -1011 - -3006. Let g = i + -4085/2. What is the common denominator of r and g?
6
Suppose -2*o + x = -26, -2*x + 64 = 5*o - 5*x. Suppose 2*l - o - 8 = 0. What is the lowest common multiple of l and 7?
77
Suppose -2*a + 22 + 10 = 2*p, -4*a - p = -64. Suppose -8*d + 4*d = -68. Let h = d - 9. What is the lowest common multiple of a and h?
16
Suppose 5*y = -3*f + 39, -5*f = -f + 5*y - 47. Calculate the least common multiple of -9*1/(-3)*(-26)/(-6) and f.
104
Let m be 631/(-5) + 4/(20/1). What is the common denominator of -3/58 and (-89)/m + 8/36?
406
Suppose 0 = 2*h - 2*g - 104, h + 2*g - 61 = -3. Calculate the least common multiple of h and 174.
1566
Calculate the common denominator of 20162/4046 + (-2 - -1)*5 and 52/21.
357
Suppose 9*v + 181 - 622 = 0. Find the common denominator of -17/4 and v.
4
Let v be 2/3 - (-21)/9. Let q(d) = -4*d**3 + v*d**3 + 20 - 17*d**2 + 2*d**3. What is the smallest common multiple of q(17) and 4?
20
What is the least common multiple of -10*8/(-20) + 0 and 28?
28
Suppose 5*h - 5*x - 745 = 0, -5*x + 252 = 5*h - 483. Calculate the smallest common multiple of 16 and h.
592
Let g = 540799/32 + -16898. Calculate the common denominator of 61/120 and g.
480
Suppose -3*h + 13 = 1. Suppose -h*d + 22 + 22 = 0. What is the least common multiple of d and 9?
99
Let h = 1334 - 759. What is the smallest common multiple of h and 3?
1725
Let i = -3315/2 + 1614. Calculate the common denominator of -79/1000 and i.
1000
What is the least common multiple of 1*2 - (-194)/2 and 99?
99
Suppose 20*b - 596 - 924 = 0. Calculate the least common multiple of b and 8.
152
Let n(d) = 6*d - 15. Let m be n(3). Suppose -2*a - m = 5, -2*a = i - 39. What is the lowest common multiple of i and 8?
376
Let n(v) = -3*v**2 + 14*v - 17. Let c(o) = 2*o**2 - 13*o + 16. Let l(h) = 4*c(h) + 3*n(h). Let t = -15 + 6. What is the least common multiple of l(t) and 2?
22
Find the common denominator of 53/114 and 614/120 + -2 + (-60)/(-180).
1140
Let r(b) = b**3 + 2*b**2 - 4*b + 1. Let j be ((-3)/1)/((-36)/24). Calculate the least common multiple of 10 + 2/4*2 and r(j).
99
Suppose -2420*y = -2421*y + 112. What is the lowest common multiple of 35 and y?
560
Let i be (1/56)/(192/31000). Let u = 5/192 - i. What is the common denominator of u and 1/26?
182
Calculate the common denominator of (-828)/(-30)*4/(-18) and 25/71.
1065
What is the common denominator of 3/200 and (2/(-12))/(76/(-12996))?
200
Suppose 0 = i - 2 + 6, 3*i = -5*p + 13. Calculate the common denominator of 1/3 - (-223)/(-12) and -2 + p + (789/56)/(-3).
56
Suppose n - 5*p + 787 = -3*n, 3*n + 597 = -3*p. Find the common denominator of 150/9 + 0/2 and -2 + n*(-4)/80.
30
Let o = 2375 + -2291878/965. Let b = o + 18371/11580. Let w = -69293/13632 + -1/4544. Calculate the common denominator of w and b.
12
Suppose 3*u - 2*o = 22, -2*o - 2 = u - 12. What is the smallest common multiple of u and 22?
88
Let h be -2 + -6*(-2)/4. Calculate the least common multiple of h - (1 + 4)/(-5) and 9.
18
Let k = 1633/72 - 241/8. Calculate the common denominator of -17 + 43 + -36 + 1570/172 and k.
774
Suppose 0 = -10*q + 26 + 4. Suppose -q*v + 46 = g, -2*g = -4 - 4. What is the least common multiple of v and 11?
154
Suppose -3*j + 3*z - 4*z = -1117, 1885 = 5*j - 3*z. Let w = j + -5957/16. Calculate the common denominator of w and -63/8.
16
Let y be 4/26 - 112/52. Let g be 0 - y - 1/(-1). Let v(x) = x**2. Calculate the smallest common multiple of 1 and v(g).
9
Suppose 40 = 5*c + 5. Let z be (-2)/c + (-2190)/(-70). Suppose -45 = -r - 5*h, z = 2*r - 3*h + 6. Calculate the least common multiple of r and 6.
60
What is the common denominator of (7659/150)/((-96)/(-10)) + -5 and 109/140?
1120
Suppose 7*n - 160 - 1 = 0. Suppose -6 = -n*c + 22*c. What is the least common multiple of c and 20?
60
Let y(c) = c**2 - c - 22. What is the lowest common multiple of 8 and y(-5)?
8
Let k be (269 - 0)*(-5)/(-2). Let u = -9467/14 + k. What is the common denominator of (-5 - -8) + 18/16 and u?
56
Calculate the smallest common multiple of 252 and (-36)/(6/(-1)) + 54.
1260
Let l(c) = c**3 + 7*c**2 + 7*c + 4. Let z be l(-6). Let p(i) = 4*i + 0*i + 3*i**2 - 1 - 2*i. What is the smallest common multiple of p(z) and 8?
56
Let w = 0 - -12. Suppose 6*j - w = -0*j. Calculate the lowest common multiple of (-2)/(j/(-7)) + 0 and 7.
7
Let l(n) = 2*n + 8. Let c be l(-3). Calculate the least common multiple of -9*((-10)/c + 2) and 27.
27
Suppose 5*p - 10 = 20. Find the common denominator of 85/p*84/(-240) and 65/22.
264
Suppose 0 = -29*t + 34*t - 15. Suppose -2*d + t*n = 4*n - 11, 0 = 3*d - 5*n - 10. What is the lowest common multiple of 7 and d?
35
Let c = 1045753/6 - 31480739/180. Let b = 5452/9 + c. What is the common denominator of 265/(-42) - 3/9 and b?
140
Let q(l) = 38*l**3 - 14*l - 12 - 37*l**3 - 11*l**2 - 2*l**2. Let u be q(14). Calculate the smallest common multiple of 32 and (4/u)/((-3)/126).
224
Let o = 1226 + -984. What is the smallest common multiple of o and 66?
726
Calculate the common denominator of ((-3)/30)/(((-612)/2130)/17) and 143/816.
816
Let v = 253 - 241. Calculate the lowest common multiple of v and 16.
48
Let j be (0 - -31)*(8 + -7). Suppose -j*f + 36*f = 60. Calculate the lowest common multiple of f and (-7)/(-2) + 2/4.
12
Let x = 35 + -30. Suppose -65 = -x*o + 15. Calculate the lowest common multiple of o and 14.
112
Let w = 58 + 17. Suppose -11*n - 31 = -w. What is the smallest common multiple of n and 20?
20
Let x = 10 + -6. Calculate the smallest common multiple of x and 84/7*1 + 2*-2.
8
Find the common denominator of (0 - (-166)/(-30)) + 0 and (-2)/22 + 20567/(-20724).
60
Let r be ((-84)/35)/((-26446)/26440 - -1). Let m = r + -190451/18. Calculate the common denominator of 83/15 and m.
90
Let u = 12593/4 + -3164. Let l = 17083/6 - 2833. Find the common denominator of u and l.
12
Let r(v) = 7*v**3 - 2*v**2 - 43*v + 12. What is the least common multiple of r(5) and 22?
6842
Suppose 3*i + 37 = 2*f - 1, f - 26 = 5*i. What is the smallest common multiple of f and 32?
32
Calculate the common denominator of (-5)/(50/(-12))*210/(-448) and (58/(-8))/(6/(-9)).
16
Let j be 0 - (2/(-3) - 238/(-177)). Let q = 1207/649 + j. What is the common denominator of -17/54 and q?
594
Suppose l + 6 = 3*l, 2*g + 4*l - 16 = 0. Let x = 208 - -82. Calculate the least common multiple of g and x.
290
Let u = 109/1075 + -131811/165550. Find the common denominator of 17/110 and u.
770
Let i = 273 + -193. Suppose 5*x = -i - 90. Let s = -16 - x. What is the lowest common multiple of 4 and s?
36
Suppose 4*i - o + 2 = 6, -2*o + 4 = 4*i. What is the common denominator of (i/(-6))/((-7)/((-1554)/(-9))) and ((-3)/54)/((-2)/(-244))?
9
Suppose g + 3*b - 3 = 0, -5*g + b + 15 = -b. Suppose g*r + 1 = q + 16, q + r = 5. Find the common denominator of 23/10 and (q + 19/1)/4.
20
Suppose -4*s = -601 + 161. Calculate the lowest common multiple of s and 130.
1430
Let k(j) = j**3 - 3*j**2 - j - 1. Let a be 2/(-10) - (-42)/10. Suppose 4*q - 4 = -0*t + 3*t, -2*q = -a*t + 8. What is the least common multiple of k(t) and 3?
33
Let m(d) = d**3 - 8*d**2 + 9*d + 4. Let n be m(8). What is the common denominator of (-2