on denominator of (-1862)/560 - (-1 + 0) and (-2030)/1856 - (3/9)/1*3?
160
Suppose -19*z = 4*z - 414. Calculate the common denominator of (1048/(-990) - -1) + 4/z and -69/35.
385
Let u = -114416/47 - -2434. Let v = u + -2593/470. Let d = -755/18 + -41/9. Calculate the common denominator of d and v.
10
Let n = 14546654/9 - 1614604. Let x = n + -1689. Calculate the common denominator of (10/50)/(4/(-395)) - -8 and x.
36
Let g be 3/((-3024)/2014) - 36/(-324). Let u = -205/21 - g. What is the common denominator of 101/3*(-3)/2 and u?
8
Suppose 0 = g + o - 11, 2*o - 31 = -3*g - 3. Let j(w) = -4*w + 9*w + 20 - 3*w - g*w**2 + 0*w**2 - w**3. What is the lowest common multiple of j(-6) and 12?
24
Let g be -19 + (6/(-24))/(1/(-12)). What is the smallest common multiple of (2/4)/(g/(-352)) and 10?
110
Let x be (-3)/(338/172 - 2). Let q = 3/3088 - -67855/83376. Calculate the common denominator of q and (x/4)/(-92 + 95).
54
Let z = 7580 - 7572. Let d = 12 - 2. What is the smallest common multiple of d and z?
40
Let b(n) = -n**3 + 14*n**2 - 14*n - 10. Suppose -1089 = -30*a + 21*a. Calculate the lowest common multiple of b(12) and a.
1210
Let t = -202 - -202. Suppose -8*o + 11*o - 12 = t. What is the smallest common multiple of o and 7?
28
Suppose -94*d + 3762 = -9*d + 29*d. Calculate the smallest common multiple of 234 and d.
2574
Let l = -4789625/3714462 + -2/97749. Find the common denominator of -21/163 and l.
6194
Find the common denominator of 310/(-496)*((-3)/(-2))/3 and (-57)/12 + 1 + -2.
16
Suppose -116 + 17 = -3*m. Let d be 43 - -2*5/20*2. Let p = d - 32. What is the lowest common multiple of p and m?
132
Let u be (-4*(-18)/(-96))/(2/48). Calculate the common denominator of 2/u*147/6 and 7/358.
3222
Calculate the smallest common multiple of 6/15 - (-4964)/340 and 117.
585
Suppose -7*v + 512 = v. Find the common denominator of 103/78 and -10*(-20)/v*(-2)/(-4).
624
Suppose -17090 = -2*m - 2*x, 17*x + 17076 = 2*m + 21*x. Calculate the lowest common multiple of 11 and m.
94072
Let s = -282 + 286. Suppose 0 = -4*v - s*z + 32, -3*v + 17 = 2*z - 7. What is the smallest common multiple of v and 2?
8
Let f be 4 - (-272 - -4)/(-4). Let j = f + 66. What is the smallest common multiple of j and 4?
12
Let r = 445700087/22266 - 180154/9. Find the common denominator of r and -35/11.
27214
Let h be (-2)/4 - ((-645)/6)/1. Let w = h + -101. Suppose -3*a - 1 = -2*l, -a - 1 + 6 = 2*l. What is the lowest common multiple of w and l?
6
Let d = -27 - -31. Suppose -d*f + b = 2, -2*f - f - 3*b = -6. Calculate the smallest common multiple of -3 + (-1 - (f + -42)) and 14.
266
Let n be 2/4 - 439*(-2)/4. Find the common denominator of -4*(-6)/60 + 402/n and -67/4.
44
Let o be (3 - (-2 + 6)) + 16. Suppose 20*n + 10 = o*n. Let s(v) = -8*v - 6. Calculate the smallest common multiple of 3 and s(n).
30
Calculate the lowest common multiple of 134/((-6)/108*-9) and 16.
1072
Let t = 188 + -91. Let d = 87 - t. Find the common denominator of -1*286/(-108) + d/20 and -29/15.
135
Let s = 1911/580 + -21/145. Calculate the common denominator of -121/2300 and s.
2300
Let r be (-6)/24 - 95/20. What is the common denominator of ((-63)/(-456))/(1/6) and (-102)/(-8)*((-222)/42 - r)?
532
Calculate the common denominator of (30/(-14))/((-28)/490) and -59/36.
36
Suppose 0 = 2*g - 6*p + 3*p + 7, -2*g = 2*p - 8. Calculate the least common multiple of g and -10 - ((-49)/7 + -8).
5
Find the common denominator of (1/(-7)*(-10)/(-6))/(582/19691) and (-8)/(-4) + (-59)/(-6).
18
Let s be 22/(-77) + (-656)/7. Calculate the common denominator of (-7)/(-14) + (-74)/78 and s/4*10/(-50) - 3.
390
What is the common denominator of ((82/(-6))/1)/(-39) and 138/10*3/(-104)*(-1880)/705?
585
Suppose 0 = 5*y - y - 8. Suppose 104 = 5*o + y*w, o = 3*w + 38 - 7. What is the lowest common multiple of ((-28)/6)/(3/(-9)) and o?
154
Suppose -2*w = -m + 21, 4*w + w + 3*m + 69 = 0. Let q = -102143/2106 - -1/1053. What is the common denominator of q and 2/w - (-6)/58?
174
Suppose 2*m = 261 - 1027. Let v be 11559/(-30) + 6 + (-25)/5. Let u = v - m. Find the common denominator of -99/20 and u.
20
Let b = 2/37861 + 416071/7572200. Find the common denominator of b and 83/15.
600
Let o be 63 - (-12)/(-9)*6/4. Let s = -39 + o. Suppose 2*g - 90 = s. Calculate the smallest common multiple of g and 3.
168
Suppose -2*u + 4*v = 0, 2*u + 2*u - 39 = -5*v. Calculate the lowest common multiple of 6 and u.
6
Suppose -6 = 2*c - 15*f + 12*f, -26 = -2*c - 5*f. Suppose 4*q - 75 = h, -h - 36 = -c*q + 20. Calculate the lowest common multiple of 11 and q.
209
Let l = 419051/18 - 23295. Let s = -39/2 - l. What is the common denominator of -7/6 and s?
18
Let f = 5559/6802 - 95/537. Find the common denominator of f and 43/87.
3306
Let t be 0 - -1 - 16/(-16). Find the common denominator of (t/(-7))/((-219)/(-243) + -1) and -39/16.
112
Suppose 328 = 4*d - 32. Let n = d + -66. Suppose 5*r = -4*x + 44, 3 + 1 = 2*r + 5*x. Calculate the lowest common multiple of n and r.
24
Suppose b + 3*y = -b + 6, 2*y = -2*b + 8. Let w(l) = 3*l + 10. Let z be w(b). Suppose -3*d + z = d. What is the least common multiple of 9 and d?
63
Let s(g) = -9*g - 247. Let o be s(-29). Suppose 2*i + 21 + o = -3*c, 0 = -i + 2*c - 7. Calculate the common denominator of 30/79 and i.
79
Find the common denominator of 177/396 - (4 + (-160)/44) and 7/762.
1524
Suppose -12*y + 82 - 22 = 0. Suppose -19 = -4*t - 10*a + y*a, 2*a - 9 = -3*t. What is the lowest common multiple of 3 and t?
3
Suppose 18*m - 21*m - 6 = 0. What is the common denominator of m*(-309)/(-432) + (-6)/(-16) and -43/60?
180
What is the smallest common multiple of (-2305)/(-1) + -1 + -15 and 9?
6867
Suppose t - 11 = g, -3*t - 2*t + 25 = 5*g. Suppose t*w - 90 = -18. Calculate the lowest common multiple of (2/1)/(4/42) and w.
63
Let d = 195921/16 + -12239. Let k = -3063/4 - -2296/3. Find the common denominator of k and d.
48
Let w = -99508 + 24279991/244. What is the common denominator of 73/104 and w?
6344
Let f = 1858 - 1851. Suppose 0 = r - 1. What is the smallest common multiple of f and (3 + 5 - r)*2?
14
Let w(l) = -l**3 - 10*l**2 - 8*l - 6. Let j be w(-9). Let p = 108629/10 + -10872. Find the common denominator of (28/(-8))/(9/j) and p.
30
Let p = -9 + 15. Suppose 364*f - 350*f = 1288. What is the least common multiple of p and f?
276
Let a = 486 - 404. Let d = a - 80. What is the lowest common multiple of 2 and d?
2
Calculate the common denominator of -1*9/(-12)*40/(-8000)*25 and 1 - ((-26)/(-80) - 0).
160
Suppose 0 = -9*u + 5*u - 16. Let c be (-3 - u) + -4 + 2. Find the common denominator of -19/6 and (c/(-6))/((-2)/128).
6
Let n(d) = d**3 - 7*d**2 + 13*d - 24. Let w = 545 + -539. Let i = 41 + -13. What is the least common multiple of i and n(w)?
252
Let r(c) = c**2 - 14*c + 9. Let t be r(5). Let z = t + -12. What is the common denominator of 1 + (-2)/(-11)*(-134)/4 and z?
11
Let d = 551 + -449. Suppose -d*l = -96*l - 24. Calculate the least common multiple of 8 and l.
8
Suppose 0*t - 5360 = -5*t. Let q = -108/25 + 229/75. Calculate the common denominator of ((-1)/(-12))/(36/t) and q.
135
Let j be (-54)/4*(-2 + 4). What is the common denominator of -9 - (-408)/90 - (-2)/(-10) and (-2)/(-1 + j/(-31))?
6
Let i = -11 + -55. Let r = i + 102. Let s = -26 + r. What is the least common multiple of 24 and s?
120
Let n = 208371731/662 - 314761. Find the common denominator of n and (-15)/6 + (26 - (-609)/(-36)).
3972
Let u = -97 + 99. Let c be (20/8)/(1/(23 - 3)). Let q = -32 + c. What is the lowest common multiple of u and q?
18
Suppose 0 = q - 0*q - 2*m - 13, -m = -5*q + 38. Suppose -c = q - 34. What is the lowest common multiple of 3/(-2) - (147/(-6) + -1) and c?
216
Let h(o) = 2*o**2 - 174*o - 966. Calculate the least common multiple of h(-6) and 2280.
11400
Suppose -18*x = -24*x - 36. Let f(n) = n**2 - 10*n - 69. Calculate the smallest common multiple of 18 and f(x).
54
Let w = 4967154125/2924 - 1698753. Let k = -4980927/3655 + w. Let d = -1362 - k. Calculate the common denominator of -7/20 and d.
20
Let u = -43 - -45. Suppose -6 = u*q - 10. Suppose -q*k - 2 = 3*k + 3*o, 5*o = 5*k - 30. Calculate the least common multiple of 18 and k.
18
Let v(o) = -o**2 - 7*o + 180. What is the smallest common multiple of 8 and v(-13)?
408