is the common denominator of 6/(-54) + (4 - 86/w) and -97/40?
120
Suppose -46*a - 24 = -54*a. Find the common denominator of (1/a)/(88/(-536)) and 23/121.
363
Let l = -57545/400896 + 245/1536. What is the common denominator of l and 151/24?
6264
Let g(y) = -21*y**2 - 323*y + 215. What is the lowest common multiple of 7 and g(-16)?
7
Suppose 2*d - 680 = -4*g, -2*g = -6*d + 2*d + 1310. Suppose 0 = -c + d + 1339. Let k = 8314/5 - c. What is the common denominator of k and 23?
5
Let t = 235533 - 235527. Suppose 3*y - 32 = 28. Let j = y - 10. Calculate the lowest common multiple of t and j.
30
Let t = -536321/128 + 4190. Find the common denominator of -29/112 and t.
896
Let p be ((-2)/(-8))/((-2)/(-40)). Suppose -3*o = -2*q + 7*q + 37, p*o - 4*q = -37. What is the least common multiple of 19/5 + o/(-45) and 10?
20
Suppose 23*j - 395580 = 13*j. Let p = j + -1107737/28. What is the common denominator of -125/6 and p?
84
Find the common denominator of 9353/(-2820) - (-2)/6 and (1965/(-180))/(-2 + 3).
60
Let w = 1/67431 + -89917/606879. Let y = -64579 + 840383/13. Let n = y + -10831/156. What is the common denominator of n and w?
108
Let m = 23963 - 790700/33. Suppose 0 = x + 14 + 26. What is the common denominator of m and (848/24)/(x/2)?
330
Let u(q) = -79*q - 227. Suppose -3*p = -k + 49, -5*k + 245 = -0*p + 4*p. What is the lowest common multiple of u(-3) and k?
490
Let u = -394309/24 - -16432. Suppose 48 = 2*d - 6*d. Calculate the common denominator of 8/d + (-2)/16 and u.
24
Let a(c) = -5*c**2 - 89*c - 10. Calculate the least common multiple of a(-16) and 603.
1206
Let p = 32839 + -18159973/553. Let o = p + 21663/8848. What is the common denominator of (-42)/(-21) + (-51)/40 and o?
80
Let k = 2/57809 - -5607185/8324496. Calculate the common denominator of 197/(-110) + (-3)/(-15) and k.
1584
Let l = 69415/9 - 7703. Let t = l + -581/18. Find the common denominator of 25/16 and t.
16
Suppose -2*c + 2962 + 146 = 4*q, 5*q = 2*c - 3090. Suppose -71*u = -61*u - c. What is the smallest common multiple of u and 2?
310
Let z(o) = -o**2 - o - 3. Let u be z(0). Let k = u - -4. Suppose 11*b = -5*b + 64. Calculate the least common multiple of b and k.
4
Calculate the common denominator of ((-41013)/(-62))/9*(-4)/(-54) and 2 + 3/(762/(-446)).
1143
Let a be (-8)/(-18)*57/(-3002). Let d = 5467/1896 + a. Suppose 120 = 4*c - c. Find the common denominator of d and c.
8
Let a(n) = 3*n**3 - 2*n**2 - n - 4. Let g be a(-2). Calculate the common denominator of -49/10 and (4 + 5)*g/30.
10
Let a be 3 - 5 - (-5 - -4)*1. Calculate the common denominator of 6/((-108)/(-123)) - (a - 2) and (-177)/(-204) + 1/(-4).
102
Let u(p) = -p**3 - 47*p**2 - 43*p + 254. What is the lowest common multiple of u(-46) and 145?
580
Let m = 47 + -18. Let o = -83 + 83. Suppose o = -5*q + 5*x + 115, -5*x = q - 0*x - m. Calculate the lowest common multiple of 24 and q.
24
Calculate the lowest common multiple of 55 and (-3)/(54/(-924))*882/84.
2695
Suppose 3434 + 1854 = 4*c. Let t = c + -15827/12. Calculate the common denominator of -53/12 and t.
12
Let b be 258/(-9) - 6/(-9). Suppose 4 = -0*f + 4*f. Find the common denominator of -67/44 and 8/b - (-706)/(-224)*f.
176
Suppose 336 = -4*u + 3*t, -12 - 72 = u - 3*t. Find the common denominator of 1 + -3 + 285/(-72) and ((-1359)/(-42))/((-216)/u).
24
Let u = 49373/3094 - 271/17. What is the common denominator of -87/26 and u?
182
What is the lowest common multiple of 7 and -4 - (-1146)/(9/((-576)/(-8)))?
64148
Calculate the common denominator of -59/14 and 8/14 - 2323/(-6762)*7.
42
Let v = 3237388414/13273755 + -1/804470. Let d = -2802/11 + v. What is the common denominator of (-93)/16*1*-2 and d?
24
Let o(y) be the third derivative of -103*y**4/24 + 7*y**3/6 + 29*y**2. Let i be o(-5). What is the smallest common multiple of 6 and (i/(-15))/(43/(-10) - -4)?
348
Let y(f) = -f + 15. Calculate the least common multiple of y(14) and -1 + -8*95/(-152).
4
Suppose 63072 = 92*t - 19*t. Calculate the lowest common multiple of 40 and t.
4320
Let r = 2300 + -39121/17. Let x = r + 815/68. Calculate the common denominator of x and 81/370.
740
Let u(m) = 14*m**3 - 3*m**2 + 3*m. Let g = 32 + -15. Let j = g - 16. What is the smallest common multiple of 20 and u(j)?
140
Let x(p) be the first derivative of -p**2/2 + 15*p + 1. Let i = -1011 + 1018. Calculate the lowest common multiple of x(i) and 7.
56
Suppose 0 = -52*j + 71*j. Suppose j = 45*v - 49*v + 24. Calculate the smallest common multiple of v and 3.
6
Suppose -17*w = -5*a - 14*w - 2, -4*w + 16 = 0. Calculate the common denominator of -17/20 and (23018/768)/17 - a.
1920
Suppose -3 = 2*s + 1561*y - 1564*y, 0 = 3*s + y - 23. Calculate the lowest common multiple of s and (2/5)/(5/300).
24
Suppose 0 = -5*u + 5*b + 275, 5*u - 276 = 3*b - 3. What is the least common multiple of u and 1 - (1/((-2)/6) - 2)?
54
Suppose -9*h - 1673 - 42067 = 0. Let v(p) = -7*p + 5. Let d be v(-1). What is the common denominator of ((h/(-8))/5)/d and 79/16?
16
Let r(q) = -q**3 + 2*q**2 - 23*q - 200. Calculate the lowest common multiple of 1107 and r(-10).
11070
Find the common denominator of (1 - 98)/((-29)/(551/(-18620))) and -19/784.
3920
Let f = 39283/2 - 57549701/2930. Find the common denominator of -21/293 and f.
1465
Let r = -4222161 - -84516293/20. Let q = -3657 + r. Find the common denominator of 424/(-18)*(-39)/104 and q.
60
Let g = -2025589/643790 - -1739/541. What is the common denominator of g and 93/154?
13090
Let b(z) = 6*z - 3. Calculate the least common multiple of b(1) and (-505)/(-20) + ((-7)/(-1))/(-28).
75
Suppose -4*o + 3*t = 8*t - 8, -4*t = 0. Suppose -o*y = -4*y + 72. What is the least common multiple of (6 + -7)/((-2)/y) and 18?
18
Let r = -16 + 13. Let q be (-85)/(-20) - r/(-12). Calculate the common denominator of -51/8 and (-90)/(-33) - ((-10)/q - -2).
88
Let s = -14527 - -493899/34. Find the common denominator of 12/(-42) - (-418)/336 and s.
408
Let q = -18140 - -489839/27. What is the common denominator of 29/15 and q?
135
What is the common denominator of -75/17066 and (-11)/20 - (378/(-567))/((-5)/3)?
170660
What is the least common multiple of 0 - -40 - (-1 + 1) and 4095/315 + (2 + -3 - -24)?
360
Let n = 132923 - 21932219/165. Find the common denominator of n and ((4/(-49))/((-320)/(-1120)))/((-108)/1251).
2310
Suppose z + 2 = m, -z - 4 = 5*m + z. Suppose m = 10*k - 47 - 43. Calculate the least common multiple of k and 139.
1251
Suppose 183 = -2*x + 3*x + 2*a, -x + 5*a = -218. Let t = -169 + x. Calculate the least common multiple of 20 and t.
120
Suppose -3*p = 2*q - 236, -3*p + q = -4*q - 208. Let d = p + -58. What is the least common multiple of d and -43 - -45 - (0 + -1 - 1)?
36
Find the common denominator of 8/45 and (1452/(-99))/(-22) + (-7339)/11265.
33795
Suppose 154 - 6 = -2*l - g, 5*l + 4*g = -370. Let d = -69 - l. Suppose 0*v = -k - v + 14, -v + 62 = d*k. What is the smallest common multiple of k and 27?
108
Let t = 12042 - 12006. What is the least common multiple of 2265 and t?
27180
Let i be (-4)/(-6)*18/(-3) - 48. Find the common denominator of (-131)/36*(54 + i) and -81/100.
900
Let w be 3/(-15) - (24498/(-8))/(-1). Let i = -3061 - w. Let f = -101 + 235/2. Calculate the common denominator of f and i.
20
Find the common denominator of 16*(-2)/(276/(-5)) and 431/(-60) - (-96)/60.
276
Let l(s) = 19*s**3 + 2*s + 3. Suppose 6 = 3*h - 42. What is the least common multiple of h and l(1)?
48
Let c(h) = -h + 4. Let p(u) = 17*u**2 + u + 4. Let f be p(3). Let m = -152 + f. Calculate the least common multiple of c(3) and m.
8
Let l(a) = a**3 + 13*a**2 - 15*a. Let x be l(-14). Calculate the common denominator of -5/8 and ((-2075)/(-175))/((-45)/x*4).
360
Suppose 45 = n + 3*t, -2*n - 2*n = -5*t - 95. Suppose -3*c + 42 = 5*r, 2*c - 6*c + n = -2*r. Calculate the smallest common multiple of c and 40.
360
Let u be 3308/(-10) + (-21)/105. Let y = -291 - u. What is the least common multiple of 10 and y?
40
What is the common denominator of 155/1176 and (-3 - (-4572)/(-336)) + 15?
1176
Let c = -1457707/54 + 26992. What is the common denominator of 29/1323 and c?
2646
Let c = 4506 - 4496. Calculate the least common multiple of c and 793.
7930
Let t = 78 + -2. Let z = t - 75. Suppose 40 = 27*f - 23*f. What is the l