 the common denominator of (1611/(-42))/(6480/(-42)) and -85/96.
1440
Suppose 3*b - 122 = -5*g, -4*g = -7*g + 3*b + 54. Let x be (2670/2)/(-5) + 2/(-1). Let i = x + 291. What is the smallest common multiple of i and g?
22
Let x(i) = 5*i + 121. Let y be x(-24). What is the common denominator of 6/11 and (1 - (y - -3)) + 1672/(-228)?
33
Let r = -17276 + 9121693/528. Find the common denominator of r and 63/88.
528
Suppose 0*c - 2 = -c. Suppose 4*v + 110 + 10 = 0. Let b = v + 39. What is the smallest common multiple of c and b?
18
Let q be 20/(-40) - (73175/28692 + -2). Let v = 18/797 + q. Calculate the common denominator of v and 158/(-32) - 3/(-6).
144
Let u(x) = -1724*x - 3. Let b = -45 + 44. Let d be u(b). Let s = 12009/7 - d. Calculate the common denominator of s and -12/7.
7
Let y be 2/5 - 52/40*-2. Suppose 25 = -y*a + 145. Calculate the lowest common multiple of a and 16.
80
Let r = -253891319/38493 - -59362/9. Find the common denominator of -23/282 and r.
25662
Let u = 6438 - 6417. Calculate the smallest common multiple of u and 21.
21
Let y(r) = -6*r + 4*r - 3 + 6*r + r**2. Let f be y(-5). Suppose -f*h = 5*x - 50, -5*h - x + 113 - 11 = 0. What is the smallest common multiple of 16 and h?
80
Let z(p) = -p**3 + 7*p**2 + 30*p - 159. Suppose -n + 118 = n. Calculate the smallest common multiple of z(4) and n.
531
Let c = -25412 + 36149. Let l(b) = -10750*b - 5 + 4*b**2 + c*b + 2*b**2. What is the smallest common multiple of l(5) and 16?
80
What is the least common multiple of (-2540)/14*(-32 + 16 - -9) and 1?
1270
Let p = 97/5 + -5459/285. Let g = -103/19 - p. Calculate the common denominator of -2 + (50/(-15) - 4) and g.
3
Let x(t) = 30*t - 17*t + 0*t - 49. What is the lowest common multiple of x(5) and 296?
592
Suppose a = -4*b + 3017, -4*b + a + 2*a = -2997. Calculate the common denominator of ((-1)/(-12))/(-1 - b/(-762)) and -13/8.
72
Let l be 497/(-142) + (-15)/(-2). Find the common denominator of 3 + l - (-2445)/(-342) and -143/6.
114
What is the common denominator of (-491763)/4828068 - 6/(-51) and 50/21?
4116
Let b(x) = -x**2 + 7*x - 1. Let j be b(6). Suppose -j*u + 65 + 52 = -s, 5*s + 105 = 5*u. What is the lowest common multiple of 180 and u?
360
Find the common denominator of -74/63 and 25450287/(-1273320) - (-21 - -1).
22680
Let h = -833/4 - -14077/68. Let c = -1962 + 80446/41. Let j = c + 525/82. Find the common denominator of h and j.
34
Let b = -178 - -182. Find the common denominator of (1 + 578/b)/((-300)/25) and 145/12.
24
Suppose -45*y - 5464 = -53*y. Let x = -647 + y. What is the lowest common multiple of 22 and x?
396
Calculate the common denominator of ((-4)/7)/(33702/(-3157)) and -143/6.
822
Let x = -1 + 12. Let q be ((-20)/(-15))/(2/9*-1). What is the lowest common multiple of x and (-385)/(-175)*(-3 + 2 - q)?
11
Let l = 5 + -2. Suppose -4*k + 3*j - 8 = -31, -5*j = -k + 27. Suppose k*p + p = 54. Calculate the smallest common multiple of p and l.
18
Calculate the common denominator of (-13139)/(-6321) + 9 - 6 - 5 and -19/87.
26187
Let p = 6856870 + -987393161/144. Let a = -242/9 - p. Find the common denominator of a and -7/18.
144
Let r = 21657 - 21083. Calculate the lowest common multiple of 38 and r.
10906
Let i be (9/2)/((-1372220)/1581242 - -1). Let s = i + 10/3167. Let p = -34 + s. What is the common denominator of p and -1/12?
132
Let b = 16652/2121 + -25/1414. Find the common denominator of (-3)/5*1*8 and b.
30
Suppose 30*u - 33*u + 33 = 0. Let k(t) = t**3 - 14*t**2 - 4*t + 3. Let g be k(u). What is the common denominator of (-1 - g/24) + 1 and -19/10?
30
Let z = 31007201/481 - 64464. Calculate the common denominator of z and 93/1628.
21164
Let b(g) = g**2 - 3*g - 1087. Let o be b(0). Let p be 1/((-16)/(-10))*o. Let q = p - -669. Find the common denominator of 12/13 and q.
104
What is the common denominator of (51/(-490824)*606)/(0 + -3) and -139/36?
14436
Let m = -2/329 + 2211/329. Suppose -t - 2*s + 21 = 0, -5*s - 24 = -0*t - 2*t. Suppose -v = t + 12. Find the common denominator of v and m.
7
Let r be ((-371)/(-14))/((-1)/(-2)). Suppose -r = 4*p - 4*h + 275, 0 = -5*p - h - 392. Let c = p - -118. Find the common denominator of c and -85/8.
8
Let m = 319 + -379. Find the common denominator of 1 - (24/m)/(24/10) and -49/33.
66
Let r = -4479 + 429961/96. Calculate the common denominator of r and (10/28)/((-11)/((-858)/48)).
672
What is the lowest common multiple of (814/33 + -14)*171 and 228?
1824
Let a = -4257 + 4846. Calculate the lowest common multiple of a and 190.
5890
Calculate the common denominator of (20/50)/((-52)/(-754)) and 19/130.
130
Let g be (12220 + 3)*(-1 + 2). Let j = -550126/45 + g. Find the common denominator of (6 - 85/3) + 4 and j.
45
Let t = 38/44887 + 3431731/135064983. What is the common denominator of 64/1947 and t?
33099
Calculate the least common multiple of (4 - 16350/(-20)) + (-21)/14 and 410.
820
Let l = 50346 - 50338. Let y = 127 + -86. Calculate the least common multiple of l and y.
328
Let o be 1/(((-13)/10)/(-13)). Calculate the common denominator of (-5)/2 + (13 - o) and -27/2.
2
What is the common denominator of (-16)/32*(-3)/((-1296)/146) and -143/96?
864
Let w = -6557/68 + 98. What is the common denominator of -42/493 and w?
1972
Let v(q) = -q + 48. Let b be v(-10). Calculate the common denominator of -6/65 and (180/400)/((-6)/b).
260
Let g be -3 + (-432)/(-63) + (-1)/(-7). Suppose -c = -g*r + 55, -4*r + 5*c = -8*r + 85. Calculate the least common multiple of r and 5.
15
Let j(w) be the third derivative of -7*w**5/60 + 11*w**4/4 - 5*w**3/3 + 33*w**2 - 1. What is the smallest common multiple of j(8) and 63?
630
What is the common denominator of 178/(-48)*(-2214)/(-3608) + 2 and (166/18)/((-4)/(-6))?
1056
Let w = -81 - -148. Let v = 52 - w. Calculate the common denominator of -37/7 and 3/(v/37) - (-18)/(-6).
35
Let w(d) = -d**2 - 48*d + 41. Let y be w(-34). Let q = 541 - y. What is the lowest common multiple of q and 128?
384
Let d = 14417 + -12667. Calculate the lowest common multiple of 2000 and d.
14000
Calculate the common denominator of 5304/68*3/(-66) and 17/9068.
99748
Let h be (232/(-168))/(4/(-1872)). Let w = h + -1309/2. Calculate the common denominator of w and ((-1065)/36)/5 - 2.
84
Let m be (-14144)/153 + (-4)/(-9). Let j be 10*(-4)/8*2. What is the common denominator of (m + 1)*5/j and -29/10?
10
Suppose 83 = 10*g - 17. Suppose 8*p = g*p - 4. Calculate the least common multiple of p and 14.
14
Suppose 96 - 93 = -q, -4*a - q = -93. What is the least common multiple of a and 220?
1320
Suppose 0 = 2*p - 2, -26*p + 11*p + 87 = 4*x. Calculate the smallest common multiple of 3344 and x.
30096
What is the least common multiple of (1119/4)/3 + 16/(-64) and 651?
651
Let o = 6484 - 324233/50. What is the common denominator of o and ((-49)/56)/(10/12)?
100
Let a be (-1 - 0)/((-4)/(-44)). Find the common denominator of (-17296)/(-987) + (-6)/7 and a/6 + 2 + 3.
6
Let g = 7559/416 + -467/32. Let q = 2897/312 - g. Let o = -4655 + 41864/9. What is the common denominator of q and o?
72
Suppose -337*k = 331*k - 13360. What is the least common multiple of 2422 and k?
24220
Let j = -469783/40 - -11746. Calculate the common denominator of -71/7540 and j.
15080
Find the common denominator of -101/1636 and (225568/(-240))/106 + (-1)/3 + 1.
8180
Let q = -6179 + 49429/8. Find the common denominator of q and 22/85.
680
Let s = -244 - -250. Let o = s - -27. Calculate the lowest common multiple of o and 11.
33
Let p = -181 - -235. Suppose -4*x + 19 = -21. What is the smallest common multiple of p and x/(-25)*(0 - 10)?
108
What is the common denominator of 7421/72400 + (3 - 1 - 2) and -117/560?
2800
Suppose -4*v - 36 = -7*v. Let f = 4 + -1. Suppose 0 = -0*q - f*q + 9. What is the smallest common multiple of q and v?
12
Let g = -23 + 25. Suppose 240 = 3*r + g*r. Suppose -9*l + 13*l - r = 0. Calculate the least common multiple of l and 14.
84
Suppose 0 = -41*c + 407 - 284. What is the smallest common multiple of c and 6153?
6153
Let r = -49 + 59. Suppose -11*q = -r*q - 16. Suppose -q = 2*p + 4*m, -p + 3*m + 11 = -3*p. What is the smallest common multiple of p and 9?
18
Let y = -43 + 34. What is the least common multiple of 3 and (-46)/3*y/6 - -4?
27
What is the common denominator of 19/8 and