 + 244. Find the common denominator of y/(-3) + 4604/560 + -4 and 57/44.
1540
Suppose -25 = -r - 4*t - 1, -t + 63 = 5*r. Suppose 2*a - 5*g + 195 = 0, -3*g = a + 69 + r. What is the common denominator of 2/(-10) - (-127)/a and -64/21?
126
Suppose -29*u - 90 = -38*u. Suppose -154 = -4*g - 54. What is the smallest common multiple of u and g?
50
Suppose 0 = -12*a + 258 - 162. Let b be 3 - (1 - (-5 + 3)). Suppose b = 6*q - 3*q - 24. Calculate the least common multiple of a and q.
8
Suppose s - 4*r + 3*r = 7, -s + 3*r = 3. Let c = -50 - -56. Let u = c + s. Calculate the smallest common multiple of 9 and u.
18
Let x be -1*9/6*-98. Let s = -139 + x. What is the smallest common multiple of 19 and s?
152
What is the common denominator of (-23103)/(-11560) + (-6)/(-34) and (2 - 519/108)/(-1)?
360
Calculate the common denominator of 1 - ((-292)/117)/(-2) and 38 + -16 - 605/50.
1170
Let a = -1437/25 + 120473/2100. What is the common denominator of 31/36 and a?
1260
Let q = 85 + 27. What is the lowest common multiple of q and 56/42*-3 - (0 - (22 - -2))?
560
Let b = 71986377243/18818 - 3825400. Find the common denominator of -29/18 and b.
169362
Let a be (-10490)/(-50950) - 2/10. Let w = a - -55949/16304. What is the common denominator of w and 7/2?
16
Let l(m) = -22*m**3 - 3*m**3 + 2*m**2 - 2 - m + 4*m**3. Let q be l(-1). Calculate the common denominator of (-159)/q - (-5 - -2) and 119/20.
220
Calculate the lowest common multiple of (200836/111)/46 - 2/(-3) and 156.
1560
Let s = -7441/30 + 248. Find the common denominator of 2/(-3) + 3367/1110 + -2 and s.
30
Let y = 1622/9 - 180. Suppose -70*a + 63*a - 28 = 0. Find the common denominator of 341/(-924) - a/48 and y.
63
Calculate the least common multiple of 141 and ((-6)/(-84) - 0)*2 - 140/(-49).
141
Let d(f) = -8*f - 153. Let p be d(-19). Let k = 4682/7 - 663. Find the common denominator of ((-20)/(-30))/((-359)/339 - p) and k.
70
Calculate the common denominator of 1 - (-539)/30 - 5022/279 and 3/12*202/(-6).
60
Find the common denominator of 157/714 and (-157)/471*((-273)/(-136) + 0).
2856
Let p(b) = -b**3 - 3*b**2 + 7*b. Let j be p(-4). Calculate the common denominator of 57/10 and 14/(-77)*(-243)/j.
110
Let g be ((-200)/30)/(4/(-90)). Suppose -52*q + 57*q - g = 0. Suppose 2*i = 6*i - 24. What is the least common multiple of q and i?
30
Let h(y) = 42*y**2 + 1. Suppose 1326*a + 2133 = 35283. Calculate the smallest common multiple of a and h(-1).
1075
Let y = 3947/6 + -648. Suppose 2*s + 2 = 0, 5*c + 0*c + 10665 = 5*s. What is the common denominator of c/1170 - (-30)/(-195) and y?
90
Let w(a) = -15*a**3 + 4*a**2 - 28*a - 72. Calculate the least common multiple of 612 and w(-2).
6120
Let z = -15980 + 1086677/68. Let f = 2241 - 9037/4. What is the common denominator of f and z?
68
Suppose 5*z - 40 = 50. Let w(j) = -5*j - 14. Let s be w(-4). Suppose -s*k + 35 = 11. What is the least common multiple of z and k?
36
Let y = 55 - 25. Let o(t) = -t**3 - 5*t**2 - 5*t + 7. Let l be o(-3). Calculate the smallest common multiple of l/(-14) - 1716/(-273) and y.
30
Suppose 2*t - 19 = w - 2*w, 2*t - 16 = -4*w. Let b = -16 + 22. Suppose 10 = -b*o + 7*o. Calculate the lowest common multiple of t and o.
10
Suppose 21 = -x + 3*k, 4*x = 9*k - 10*k - 45. What is the common denominator of -91/20 and (3/x)/(435/(-690))?
580
Let d(x) = 4*x - 1. Let h be d(-1). Calculate the lowest common multiple of 1190/(-68)*12/h and 30.
210
Let v(o) = -7*o**2 - 9*o + 53. Let g(c) = 4*c**2 + 5*c - 26. Let w(u) = -5*g(u) - 3*v(u). Calculate the smallest common multiple of 9 and w(-7).
18
Suppose -821 = -39*k + 302 + 710. Suppose 0 = -5*q + 15 - 40, -3*q = -3*g + 27. What is the least common multiple of g and k?
188
Suppose 18*k = 21*k - 3408. Let r = k - 2331/2. Calculate the common denominator of -113/28 and r.
28
Let x = -1/520593080 + 876995189223679/520593080. Let l = x + -1685054. Let v = l - -443. Calculate the common denominator of v and -63/40.
40
Calculate the common denominator of 1 + -2858*2/5112 and 121/426.
1278
Let z(g) = 5*g**3 + 16*g**2 - 25*g - 5. Let c be z(2). Find the common denominator of 15/8 and (85/(-126))/(168/c).
432
Suppose -4*b = -5*q + 76, -32 = -q + 3*b + 2*b. What is the common denominator of (1 + 92/(-448))/(q/16) and 17/3?
84
Let r be (-2)/4*(-3 + (-2221)/1). What is the common denominator of (5 - 3)/r*(0 - 174) and -137/12?
1668
Let b = 1141 - 941. Calculate the lowest common multiple of 20 and b.
200
Let p be -2 + (-158)/56*-122. Let b = p - 2409/7. Let h = -152409/14 + 10882. Calculate the common denominator of b and h.
14
Suppose -6*g - 531 = 3*g. Let k = 79 + g. What is the lowest common multiple of (-2)/(-15) + 590/75 and k?
40
Let k be (-4)/(-12) - 378424/(-32). Let j = k - 11833. What is the common denominator of 37/10 and j?
60
Let g be (0 - -1) + 5/1. Suppose 0 = g*t - 5*t - 89. Let x = t + -104. Calculate the common denominator of 37 and x.
1
Let i(f) be the first derivative of 7*f**2/2 + 23*f - 22. Let o = 41 - 44. Calculate the lowest common multiple of i(o) and 7.
14
What is the common denominator of ((-23350)/17820 - (-1)/(-22)*2) + 2 and 37/810?
810
Suppose -2*y = -10, 5*y + 15 = 5*u - 0*u. Calculate the least common multiple of 5 - (12 - 4) - u/(-1) and 37.
185
Let v = -826927/7249 - -169/659. Let a = 19418/165 + v. What is the common denominator of 97/6 and a?
30
Let m = 6241 - 99887/16. Let y = -145512 + 284879. Let s = 39022801/280 - y. What is the common denominator of m and s?
560
Calculate the common denominator of 62/1071 and 1 + 3 + 495/(-21) + 26.
1071
Suppose 16 - 8 = 2*x. Suppose 0 = x*z + 5*o - 170, z = -5*o + 3*o + 41. Let i = -15 + 18. What is the lowest common multiple of z and i?
45
Let t = -7037 - -70261/10. Calculate the common denominator of t and 17745/5005*165/18.
10
Let z(l) = -339*l - 55. Let r be z(-14). Let h = -37581/8 + r. Calculate the common denominator of 25 and h.
8
Suppose -2*d = -3*p + 28, 34 = 4*p + 2*d - 3*d. Let f = p + 8. Suppose -31*t + 43*t - 264 = 0. Calculate the least common multiple of f and t.
176
Let o = 23/36497 - -2985091/70074240. What is the common denominator of -143/120 and o?
1920
Suppose -141 = -4*y + 4*d - 25, 136 = 3*y + 4*d. What is the smallest common multiple of y and 139?
5004
Let y = 154687/27 - 5731. Let v = -12068 + 25683/2. Let l = v + -754. Calculate the common denominator of y and l.
54
Let q = 14/16631 + -1435936/6735555. Calculate the common denominator of q and -50/33.
4455
Find the common denominator of ((-14)/(-1652))/((-4)/(6 + -190)) and -88/105.
6195
Let z = 1299131/72 - 18043. Find the common denominator of z and (6/36 - 0)*(-182)/32.
288
Calculate the common denominator of -6 - (-50)/540*105 and -97/66.
198
Let g(c) be the third derivative of c**4/24 + c**3/6 + 8*c**2. What is the lowest common multiple of g(3) and ((-33)/6)/((-1)/2)?
44
Let o(f) = 13*f**2 - 21*f - 68. Let h be o(-3). What is the common denominator of 3/40 and ((-8)/(-64))/((-4)/(h/15))?
120
Calculate the common denominator of -5/8 and 45 + -36 + (-235386)/26184.
8728
Suppose 15*x = -7*x + 770. Suppose x*h = -7*h + 1260. Calculate the lowest common multiple of 12 and h.
60
Calculate the smallest common multiple of 468 and 31 - ((-17)/2 - -8)*-14.
936
What is the common denominator of (2/(-7))/(10/255) and -1318*(-3)/168 + (-154)/539?
28
Let u = 116 + -206. Let o = u + 80. Calculate the lowest common multiple of (0 - 1*-2)*(-8 - o) and 14.
28
Calculate the common denominator of -73/9 and 2582/230 + -9 - 2.
1035
What is the common denominator of -115/468 and (9 + -10)/((-10530)/(-1185))?
1404
Suppose -x = -6*x - 5. Let s(w) = w**2. Suppose -20 = -6*g + g. Calculate the smallest common multiple of g and s(x).
4
Let z = 42 + -39. Suppose -5*q + 17 = -z*t, 2*q + 66 = -7*t + 3*t. Calculate the lowest common multiple of 142 and ((-2430)/(-42))/5 - (-8)/t.
1562
Let m(b) = 60*b. Let q be m(1). Suppose f + 2*f = q. Let n = -2782 + 2790. What is the lowest common multiple of f and n?
40
Calculate the common denominator of 37/832 and -2*4/(-52)*((-735)/(-192))/(-7).
832
Let o = 11 - -346. Suppose -643 = -s - o. What is the least common multiple of 18 and s?
2574
Let t be 2/(-3)*1517682/(-684). Let f = -1481 + t. Calculate the common denominator of f and (-1)/(-3) 