8) - 2/6 and 81/4?
12
Suppose 41*y + 79*y - 47160 = 0. What is the lowest common multiple of 189 and y?
24759
Suppose -a + 8 = -6. Let s(p) = -877*p**3 + 5*p**2 + 2*p - 1. Let w be s(1). Let f = 877 + w. Calculate the least common multiple of f and a.
42
Find the common denominator of -18/1075 and (-16)/(-416) + 588/(-4810).
79550
Suppose 0*l - 12*l = 1728. Calculate the lowest common multiple of 10 and (-1)/(-5)*2 - l/15.
10
Suppose 765*c = 240*c + 273000. What is the lowest common multiple of c and 220?
5720
What is the common denominator of (-12)/(-45) - 84/912 and 17/40?
2280
Suppose -6*u = v - 572, -17*v + 2860 = -12*v + 2*u. What is the least common multiple of v and 234?
5148
Let a = -28 - -55. Suppose 4*c + a + 25 = -2*u, -31 = u + 3*c. Find the common denominator of 2865/120 - (-2)/u and -21/4.
4
Let l = -7/1866 - -85015/29856. Calculate the common denominator of l and 101/294.
4704
Let f be ((-288)/(-72))/((-1)/(-1)*-1). What is the common denominator of -1 - (520/(-75) + 3) and (-8 - -2)/(f/((-456)/(-27)))?
15
Let a = -27393 - -27458. What is the lowest common multiple of 12 and a?
780
Calculate the common denominator of ((-52503)/1260)/(-11) - 12/90 - 2 and 31/5376.
5376
Let i = 25182 + -1208611/48. Find the common denominator of i and 25/96.
96
Let f(o) = 3*o**2 - 2*o - 1. Let x be f(-1). Suppose -84 = -8*k + x*k. Calculate the least common multiple of 12 and k.
84
Suppose 0 = -28*b - 10*b - 11*b + 33957. What is the least common multiple of 75 and b?
17325
Let k(i) = 9*i**2 - 88*i - 483. Calculate the smallest common multiple of 102 and k(-6).
12546
Calculate the common denominator of -46/855 and 99 - 90 - (-2086)/(-270) - (-4)/30.
2565
Calculate the common denominator of (413/(-252))/(266/57) and -23/630.
2520
Let r(y) = 11*y**2 - 34. Let x(w) = -2*w**2 - 2. Let f(j) = r(j) + 5*x(j). What is the least common multiple of f(-7) and 10?
10
Let n = -25 + 29. Suppose o - 5 = 0, n*i = -2*o + 55 - 1. Calculate the least common multiple of i and ((-16)/40)/((-6)/840).
616
Let j be (439/15)/(144/30). Let z = j - 211/18. Let a = 8681/8 + -1093. Calculate the common denominator of z and a.
8
Let h be (-5045)/(-4)*2/(-24). Let f = h - -607/6. Calculate the common denominator of 67/10 and f.
80
Let p = -13621/2068 - -5/1551. What is the common denominator of 150/40 + 5871/(-836) and p?
132
Find the common denominator of -81/260 and 12/(-60) - (18/(-64))/((-6)/(-56)).
520
Let v(d) be the second derivative of d**5/20 - 3*d**4/4 + 3*d**3 + 9*d**2/2 + 37*d. What is the lowest common multiple of v(4) and 58?
58
Suppose 15 = -2*j - 3*j, 4*u = -2*j + 110. Let q = -34 + u. What is the common denominator of 83/16 and (-2016)/810 + 2/q?
144
Let w(i) = 4*i + 48. Let z be 290/8 - (-12)/16. Suppose z + 33 = -7*t. Calculate the least common multiple of w(t) and 76.
152
Suppose 0 = -9*p + 11*p + 6. What is the common denominator of 255/(-458)*p/15 and -37/16?
3664
Suppose 60 - 8 = 2*v. Suppose -19*d - 182 = -v*d. Calculate the smallest common multiple of d and 42.
546
What is the common denominator of (-4901)/3094 - 7/119 and 99/3440?
24080
Suppose 0*x - 2*x = 236. Let q = x - -92. Let z = 56 - q. What is the least common multiple of z and 20?
820
Let f be 5 - (-6)/(8804400/(-8981138)). Let o = -7/7975 - f. Find the common denominator of o and 49/24.
552
Let j be 3 + 8/(-2) - 5*-2. Suppose 25 = -j*y + 133. Calculate the least common multiple of 11 and y.
132
Calculate the common denominator of 95/144 and 1752/84*58/192 + -6.
1008
Suppose z - 23*z + 10827 + 10645 = 0. Calculate the smallest common multiple of 610 and z.
4880
Suppose 5*g = 5*l - 15, 2*l + 190*g - 12 = 191*g. Calculate the least common multiple of l and 3835.
34515
Let u = 160 + -145. Suppose -2*g + 116 = -5*x, -g + u*x - 14*x + 52 = 0. Calculate the smallest common multiple of g and 36.
144
Suppose 18*j + 9*j = 3*j + 14880. Calculate the lowest common multiple of 248 and j.
1240
Let o = -90517/779064 + -6/2497. What is the common denominator of -11/27 and o?
2808
Let r = -2/16273 - -276667/211549. Find the common denominator of r and -7/109.
1417
Let v = -142310 - -71724157/504. Calculate the common denominator of v and 101/132.
5544
Let v(k) = -88*k + 637. What is the least common multiple of v(7) and 189?
189
Suppose -4*d + 80 = d. Suppose 10*i - 109 = -29. Suppose 0 = -i*h + 9 + 103. What is the smallest common multiple of h and d?
112
Let q(i) = i**2 + 2*i - 46. Calculate the lowest common multiple of 4 - -6 - (1 - 1) and q(-8).
10
Suppose 13*u = 10*u + 3*b + 3756, 4*b = -u + 1282. Calculate the smallest common multiple of 8 and u.
5032
Suppose -5*j + 3*l + 45 = 0, -4*j - 425*l + 421*l + 36 = 0. Calculate the lowest common multiple of 2067 and j.
6201
Let d be (-5 + (-260)/12)*-6. Suppose 0*h - 40 = -s + h, 4*s - 5*h = d. What is the least common multiple of 15 and s?
120
Suppose -58*l + t - 70 = -59*l, 5*l = -4*t + 352. Calculate the lowest common multiple of 603 and l.
4824
What is the common denominator of (-2 + 0 + (-20)/(-7))*(-438480)/9280 and (-1)/(-16)*74/(-2)?
16
Let s(i) be the first derivative of i**3/3 - i**2 + 168*i + 10. What is the lowest common multiple of s(0) and 3?
168
Let h = 1152 - 836. Calculate the smallest common multiple of 9 and h.
2844
Suppose 1203 = 3*t + w, -56*t + 5*w - 2015 = -61*t. Calculate the smallest common multiple of 160 and t.
800
Let s = -2903 + 43499/15. Find the common denominator of -12/485 and s.
1455
Let y = 6736231/484 - 55673/4. What is the common denominator of 4/5 - (-23782)/(-1840) and y?
968
Let k(j) = 10 - 38*j + 34*j - 17 - 12. Let w be k(-6). Suppose -w*f + 72 = -3*f. What is the least common multiple of 33 and f?
396
Suppose -10 = 3*p - 8*p. Suppose -2*a - 1 - 5 = -p*y, 31 = 3*a + 5*y. What is the smallest common multiple of 20 and a + 28/(-12) + 235/3?
780
Let c = -246923/120 + 13973/8. Let p = c + 311. Find the common denominator of p and 88/15.
15
Suppose 0 = -8*o - 10 + 26. Let q(s) = -4 + 5 + 7*s + o*s**2 - s**2. What is the lowest common multiple of 6 and q(-9)?
114
Calculate the common denominator of 43/270 and (-21 + (-848)/(-40))/((-22)/(-54)).
2970
Let k be -10*-7*(-6)/5964. Let t = 2146/781 - k. What is the common denominator of t and -3/31?
341
Find the common denominator of 1*-2 - 96681/(-51590) and 11/140.
1540
Let d be ((-56)/92)/(8/(-258)). Let f = d + -3/23. What is the common denominator of f and 1/(-25)*(-133)/(-57)?
150
Let d(z) = 2*z + 18. Let g be d(-7). Suppose -48 = -j - g*h, -2*j - 2*h + 3*h = -51. Let q = j + -22. What is the least common multiple of 14 and q?
42
What is the common denominator of 17/164 and 1 + 1605/(-144) + (-45)/(-720)?
492
Suppose q - 2 = 4*v, -3*v - v - 62 = -7*q. Let h = 365 + -201. What is the lowest common multiple of h and q?
820
Let a = 29/20 + -16/5. Let k be (4 + 189/(-48))/(497/30198). Let q = k - 30/71. Calculate the common denominator of q and a.
8
Suppose 76 = g - 95. Suppose 3*l = f + 256, g = 2*l - 0*l - f. Suppose -5*c - l = -4*m, 2*m - 3*c = -m + 63. Calculate the lowest common multiple of m and 20.
20
Suppose -66*l - 112*l = 74*l - 8064. Suppose h = 5 - 3. Calculate the lowest common multiple of h and l.
32
Let y(w) = 2*w**2 - 35*w - 17. Suppose 15*k - 2*k - 234 = 0. Calculate the smallest common multiple of y(k) and 5*(3 + -2)/1.
5
Let n = 1123 + -1105. What is the lowest common multiple of 162 and n?
162
Let p = -8792/43 - -291899/1419. What is the common denominator of p and 190/(-4)*1/(-48)?
1056
Let a be (-2 - -1403)*(-2)/130. Let i be (-42)/(-75)*(5/((-25)/240) + 8). Let b = i - a. What is the common denominator of b and -71/4?
52
Let j = 11860 - 296563/25. Find the common denominator of ((-6)/8*-119)/15 and j.
100
Let m = -51973/191565 - 7/8910. Calculate the common denominator of m and 73/258.
1290
What is the least common multiple of (-2)/(-3)*(-1 - -268) and ((-6096)/96 + 58)*(-24)/11?
1068
Let p be (-88)/(-1 - (-27)/25). Let a = -261075 + 1835185/7. Let v = a + p. Calculate the common denominator of v and -41/20.
140
Let a(i) = 17*i - 171. Let k be a(13). Suppose k = 160*s - 155*s. Calculate the smallest common multiple of s and 4.
20
Let x = 65 - 123. Let z be x/(-2) + -17 + 12. Suppose z = 83*u - 80*u. Calculate the least common multiple of u and 28.
56
