11/15 and r?
30
What is the common denominator of (-5 + (-690)/(-168))/(198/8) and -167/252?
2772
Let r(d) = d**3 + 9*d**2 + 13*d - 16. Let t be r(-6). Let q(h) = 25*h + 56. Calculate the lowest common multiple of q(t) and 6.
1218
Calculate the common denominator of 4 + 1 - ((-22)/(-99) - (-154659)/32670) and 57/185.
44770
Let r = -6 - -33. Suppose b - 3*b = 4. What is the smallest common multiple of r and (-77)/(-28) - b/8?
27
Let m = -140 - -139. Calculate the smallest common multiple of 144 and m*(2 + -6) - -18.
1584
Let u be (1758/4)/(105/140). Let b = u + -17489/30. Find the common denominator of 71/9 and b.
90
Let w be -3*(-2)/(-9) + (-66)/(-18). Suppose -76 = -3*s - 4*i - 42, -26 = -w*s + 4*i. Calculate the least common multiple of 118 and s.
590
Let d(j) = j**3 - 9*j**2 + 8*j - 29. Let o be d(4). Find the common denominator of (-2646)/(-330) + (-14)/o and -64/65.
65
Find the common denominator of -15 - -10*(-9)/(2430/(-384)) and ((-68)/(-30))/(8/(-7)).
180
Let a be 1/10 - (-336042)/(-420). Calculate the common denominator of 9/20 and (-16)/(a/15)*34/20.
100
Suppose -34*h + 29*h + 29 = z, -3*z - 2*h = -74. Calculate the smallest common multiple of z and 1206.
4824
Suppose -3*j + 10 = -1412*d + 1414*d, -j - 3*d = 13. What is the least common multiple of 560 and j?
560
Let u = 189 - 127. Let o = 122 - u. What is the smallest common multiple of 9 and o?
180
Let i(j) = j**3 - 21*j**2 + 19*j + 22. Let r be i(20). What is the common denominator of (-359)/84 + r - 2/(-12) and 53/22?
308
Let x be -7*(-15)/175*5*-1. Calculate the smallest common multiple of 96/20*(-50)/x and 90.
720
Suppose -4*u + 85 = u. Let g(b) = -2*b**3 + 3*b**2 + 36*b + 34. Calculate the lowest common multiple of g(-3) and u.
119
Let u = -57402 + 57423. Let k = -6 - -8. Suppose -x - 22 = -2*x + z, k*z = x - 20. What is the lowest common multiple of u and x?
168
What is the common denominator of ((-59)/2)/(88*(-105)/(-28)) and 119/360?
3960
Let f = 1495297633/27348 + -164030/3. What is the common denominator of f and -65/9?
82044
Let o = -1460053/45 - -32449. Let c = o - 421/60. Calculate the common denominator of 11/84 and c.
252
Suppose 0 = -207*r + 197*r - 80. Calculate the smallest common multiple of 180 and (-10)/(-30)*-3*r.
360
Let r = -22884 + 7071115/309. What is the common denominator of r and -97/206?
618
Suppose -2*f + 2 + 2 = 0. Suppose 0 = -5*x - f*s - s + 125, -x = -s - 25. Calculate the common denominator of 77/6 and 2 - 3 - x/2.
6
Let b be ((-534)/125)/(7040/1400). Let p = -62/275 + b. Find the common denominator of p and -163/30.
120
Let t be -4 + 7 - 0/(-1). Let c(r) = 24*r + 1. Let a be c(t). Let f = 32 - a. Calculate the common denominator of f and -59/10.
10
Suppose -4*b = -2*h + h + 33, 5*b + 66 = 2*h. What is the common denominator of (3/48)/((-8555)/(-950) - 9) and 4/6 - h/(-144)?
48
Let g = -64 - -64. Let j be 3 + 3 + 132/4 + g. Suppose 2*n - 3*m - 12 = m, 0 = -5*n + m + j. Calculate the lowest common multiple of n and 4.
8
Let w(t) = 79*t + 3876. What is the lowest common multiple of 1010 and w(-35)?
11110
Let t be 6/9 + 2/6. What is the common denominator of (-34)/((-87)/(4 - t)) and (7*(-5)/(-28) - 2)/(45/6)?
290
Suppose -2*s + 6 = -4, 0 = -4*q + s + 31. Suppose -q*x + 51 = -30. Calculate the lowest common multiple of 18 and x.
18
Let x be (2 + 5336/14)*9331/(-496). Let g = 7197 + x. Calculate the common denominator of g and (-2)/(-7) + 435/(-28).
8
What is the lowest common multiple of 18 and (-16505)/(-110) - 121/2662?
450
Let q(g) = g + 10. Let o = -26 + 21. Let x be q(o). Let u = x + 7. Calculate the lowest common multiple of u and 12.
12
Suppose 5*c + 2*z = 26390, -7*c + 26385 = -2*c + 3*z. What is the lowest common multiple of c and 297?
47520
Let p = 277450 + -152597603/550. What is the common denominator of p and 87/500?
5500
Let t = -33 + 57. Let j = -20 + t. Calculate the lowest common multiple of (-20)/3*1/(10/(-12)) and j.
8
Suppose 3*f + 1 + 77 = 0. Let j = f + 36. Let i(g) = g + 8. What is the lowest common multiple of 18 and i(j)?
18
Let c(v) = -2*v - 3. Suppose -13*t + 8*t - 15 = 0. Let q be c(t). Calculate the lowest common multiple of q + (-5*6/(-15) - 1) and 28.
28
Suppose 23*p - 24*p = -3*u + 2710, 2*u - 3*p - 1816 = 0. Calculate the least common multiple of u and 132.
5412
Let n be 11/5 - 6/30. Suppose -5*r + w = 278 + 148, 423 = -5*r - n*w. Calculate the common denominator of -107/76 and ((-6)/33)/(20/r).
836
Calculate the common denominator of 4/(-10) + 308*180/118400 and 56/925.
7400
Suppose 52 = 7*t + 17. Suppose i = t*g + 58, -2*g - 82 = -3*i + 66. What is the lowest common multiple of 8 and i?
48
Calculate the common denominator of -33/100 and (13 - 526498/42840) + 5*4/170.
900
Let b = -2029 + 899. Find the common denominator of b/12*(-1)/10 and (-20)/(-48)*32214/910.
12
Let i = 333 + -258. Calculate the least common multiple of 600 and i.
600
Let z(s) = -58*s + 153. Let c be z(16). Let h = c + 783. Calculate the lowest common multiple of h and 189.
1512
Let y(v) = -v**3 + 8*v**2 - 5*v - 2. Suppose -418*b + 1000 = -393*b. What is the lowest common multiple of b and y(6)?
40
Let g(f) = 2*f**2 + f. Let z be (45 - 40) + (-986)/(-2). Suppose 0 = -35*h + z - 148. What is the least common multiple of g(-1) and h?
10
Let c(q) = -q**2 - 7*q - 18. Let m be c(-18). What is the common denominator of (23*(-2)/m)/((-123)/164) and -32/3?
81
Let h be (-12)/82*(-2)/(-3). Let f = h + 65/246. Let g = 1517/12 - 823/6. What is the common denominator of g and f?
12
Let a = -11142 - -11191. Calculate the least common multiple of 1400 and a.
9800
Let r = 10568 - 10264. What is the least common multiple of 988 and r?
3952
Suppose -3*h = 3*r + 36, 5*h - 2*r + 92 = r. Find the common denominator of 4/(-30)*36/h and 67/8 + (0 + 2)/((-14)/(-28)).
40
Suppose -r + 2 = 0, -r = -5*w - 1364 + 287. Let n = w - -275. What is the lowest common multiple of 30 and n?
60
Let p(u) = -28*u**2 - 13*u + 10. Let d be p(7). Let l be -8 + 7 + d/124. Let c = 92/31 + l. Calculate the common denominator of c and 79/4.
4
Suppose -4*y = y + 5*k - 15, 0 = 2*k + 10. Calculate the common denominator of (-25)/(-6)*40/(-75) and (y/(-6)*2)/(5/3).
45
Suppose -i + 6 = -t, -6*i + 4*i - 5*t + 12 = 0. Suppose i*c + 7 = 13*c. Calculate the lowest common multiple of 160 and c.
160
Let v = -175661/12 - -14630. Calculate the common denominator of v and -27/1628.
4884
Find the common denominator of 89/435 and ((-7)/21)/((-442)/(-39))*106/3.
7395
Suppose 0 = m - 5, 2*s - 3*m + 308 = 3*s. Let j = -300/133 + 31531/13566. What is the common denominator of s/(-60) + 6/(-9) and j?
1020
Let n be (-129650)/96 - (-5)/(-45)*-3. Let j = 1352 + n. Let r = -882/5 - -1647/10. Calculate the common denominator of r and j.
80
Let d(k) = -k**2 + 47*k + 78. Suppose -5*s + 34 = -26. What is the lowest common multiple of s and d(48)?
60
Let n = 48 - 43. Suppose -33 - 7 = -n*k. Suppose -2*i + 7*i - 5*b - 105 = 0, -4*i = b - 94. What is the lowest common multiple of k and i?
184
Let p(n) = 77*n + 35. Let u be p(1). Let b = -4/773 - -50281/6957. What is the common denominator of b and (-1028)/342 + u/(-1064)?
9
Let m(z) = -z**2 + 2*z + 9. Let g be m(5). Let a be (-2576)/1295 - g/3. Let w = 5878/3885 + a. What is the common denominator of -17/39 and w?
273
Suppose -u = -5*w + 20, -2*w + u + 25 = 4*u. Calculate the smallest common multiple of w and (-395)/(-8) - 576/1536.
245
Suppose -417*c = -210*c - 204*c - 2145. Calculate the smallest common multiple of 1235 and c.
13585
Let m be (-21)/((-824859)/78546) - 2. Let g = m + -1584205/157116. Find the common denominator of -121/20 and g.
60
Let i = -30 - -30. Suppose i*k = 5*k - 15. Let m(o) = -o**3 + 4*o**2 - o - 4. What is the smallest common multiple of m(k) and 6?
6
Suppose 3*z + q + 0*q = 1121, -3*z + 1133 = -2*q. Find the common denominator of z/8*10/45 and 5/60*39/(-26).
24
Let z be -3*(455/(-441) + 3 + 0). Let f be (-12)/42 - (-503)/(-168). Let j = z - f. Find the common denominator of j and 109/22.
88
Suppose 15*r = -4*y + 10*r + 3, -5*r = 3*y - 1. Let s(g) = g + 2. Let d be s(-2). What is the smallest common multiple of 8 and 0 - (d + -158)/y?
632
Calculate the common denominator of ((-155)/(-20))/(2/(12/13)) and -21/2.
26
Let k = 11298 - 8328. What 