2*b - 3*q = -83, -12*q = -5*b - 14*q + 202. What is the lowest common multiple of b and 3270?
13080
Let v = 586/703 - 58359079/11248. Let s = -5192 - v. What is the common denominator of s and 97/20?
80
Let r = 7236856481/4 + -182238519966427/100728. Let a = r + 24/1399. Find the common denominator of a and -35/162.
648
Let r be (-18)/4*4/(-2). Let y(h) = -371*h - 1852. Let k be y(-5). Suppose -k*c + 24 = r*c. What is the least common multiple of c and 14?
14
Suppose 0 = -5*i + 4*q + 720, -3*q - 2*q = -25. Let c = 124739/18 + -6934. Find the common denominator of (-6)/80*i/6 and c.
180
Let j(w) = -3*w + 84. Let t be j(0). What is the common denominator of (-309)/t + (-2)/(-21) and -101/30?
60
Suppose -32*h + 42 + 14 - 24 = 0. What is the smallest common multiple of (-6)/(-8) - 807/(-12) and h?
68
Let n = 8488 - 7912. What is the smallest common multiple of 504 and n?
4032
What is the common denominator of 71/2820 and 5782/(-11092)*(-1 - (-12)/9)?
2820
Let f(r) = -r + 35. Let l be f(23). Find the common denominator of (23/12 + (9 - l))*-1 and -13/36.
36
Let x = 40171 - 9520505/237. Let q = x - -16543/13272. Find the common denominator of q and -9/16.
112
Suppose -2*j + 2*t + 1032 = 2*j, 5*j = -t + 1304. What is the least common multiple of 455 and j?
1820
Suppose -9*t + 55 = -17. Let r(x) = 6*x - 25. Let b be r(t). Let z = b + -1. What is the smallest common multiple of 8 and z?
88
Let z(w) = 12*w - 12. Let t be z(6). Suppose 0 = -4*u - t - 4. Let n = u - -43. What is the smallest common multiple of 33 and n?
297
Let c be ((1646/(-3))/(-1))/(36/54). Let p = c + -703. What is the lowest common multiple of 10 and p?
120
Let z = 54199 + -63467023/1171. Let l = -82877/51524 - z. What is the common denominator of 109/40 and l?
440
Suppose -5*q - 80 = -q. Let a be (29061/402*q)/2476. Let b = -15/619 - a. What is the common denominator of -19/8 and b?
536
Let x be 6018/(-1848) - -3 - (-2)/14. Let u = 669/308 - x. Calculate the common denominator of u and 2442/(-336) - 3/48*-2.
7
Let l = -3864 - -61741/16. Suppose 0 = -6*a - 265 - 221. Find the common denominator of 22/174*a/6 and l.
464
Let g = 7634537/357444 + 24/9929. Let f = 307/9 - g. Find the common denominator of f and -27/104.
104
Let u = -13084453789/1833 + 7138292. Let a = -3/611 + u. What is the common denominator of 3/27*3 + 3 and a?
3
Let m be 6 + ((-865)/(-20))/(-1). Let c = m - -1381/36. What is the common denominator of ((-26)/2)/(1/(-2)) and c?
9
Let u(q) = -q - 1. Let w be u(-3). Let i(g) = -g**3 - 9*g - 18 + 34 + 10*g**2 - g**w. Calculate the least common multiple of 4 and i(8).
8
Suppose -45*s = -17*s - 924. Let y be ((0/2)/(-1))/(-1). Suppose -l + 2*l - 24 = y. Calculate the least common multiple of l and s.
264
Let m(y) = -4*y**2 + 96*y + 25. Let d be m(25). What is the common denominator of 19/16 and ((-38)/d)/(44/(-33))?
400
Let h(f) = 3*f - 10. Suppose 0 = -4*x + 4*m + 24, -4*x - m + 26 = -4*m. Let j be h(x). Find the common denominator of 170*1/(-9) - j/(-63) and 137/18.
18
Let t = -14500277361/2048410 - 141841/11255. Let z = t - -49635/7. Calculate the common denominator of z and -79/22.
1430
Let k = 4990 - 4980. What is the least common multiple of k and 170?
170
Suppose -2139 + 699 = 6*g. Let k = g + 246. What is the least common multiple of 56 and k?
168
Let z be (-8)/(-20) + (-54)/(-15). Suppose 4*q - q = z*q. Suppose 4*w = 3*b - 81, 3*b + 3*w - w - 63 = q. What is the least common multiple of 1 and b?
23
Suppose 18 = 5*c + 3. Calculate the common denominator of 5/((-70)/(-16)) - c and (5 - (-49)/(-14))*(-184)/(-42).
7
Let v be 10067/6 - (-12 - -11). Let n = 1696 - v. Calculate the common denominator of 59/136 and n.
408
Let o be (2290/(-448))/(-5) - 2. Let m = o - 609529/1120. Let r = -547 - m. Calculate the common denominator of r and -19/3.
15
Let n be 98*(-2 + 6/(-4)). Let i be 0 + ((-5244)/(-16) - (-48)/(-12)). Let g = i + n. Calculate the common denominator of g and 59/12.
12
Let o(f) = 487*f - 21. Let p be o(3). What is the common denominator of 6/10 - 4854/p and -139/18?
144
Let w(n) = 107*n + 40. Let x be w(5). What is the common denominator of 375/x + 2/4 and 11/20?
460
Let c = 18/8051 - -828461/354244. Find the common denominator of (-390)/(-1080) - (4 - 2) and c.
396
Let m(f) = -f**3 + 6*f**2 + 3*f - 3. Let u be 3/(2/3 - (-3)/9). What is the smallest common multiple of m(u) and 24?
264
Let u(h) = -h**3 - 4*h**2 + 7*h + 2. Let r be u(-6). Suppose -r + 19 = t. Find the common denominator of 81/44 and 324/(-2288) - (-2)/t.
44
Let k(x) = -x**2 - 8*x - 11. Let f be k(-6). Let r(i) = -7*i**2 + 7*i - 8. Let w be r(f). Let p = w + 14. Calculate the smallest common multiple of p and 6.
6
Suppose -5*n - 17321 = -4*m, 57*n - 61*n = -4*m + 17320. What is the lowest common multiple of m and 2?
8658
Let a be (1 - (2 + -2))*(13 + -12). Let o(n) = 41*n**3 + n**2 - n. Let x be o(a). Find the common denominator of (44/(-66))/((-8)/x) and 87/20.
60
Let n(i) = i**3 + 20*i**2 + 20*i + 29. Let a be n(-19). Let v = 493/3 + -160. What is the common denominator of 125/3*(-6)/(a - -2) and v?
6
Let j(k) = 10*k - 35. Let g be j(4). Let c be (g + -2 + -4)/(2/(-18)). Let o = -4 + c. What is the least common multiple of o and 9?
45
What is the common denominator of (11/(-1518))/(2*(-12)/402) and -59/219?
40296
Let k = -69 - -74. Suppose -k*l - 4*m + 7*m = 1806, 4*m - 1808 = 5*l. Find the common denominator of (-2)/(-9) + 1595/l + -1 and 49/3.
24
Let t = -95121741/3314 - -28703. Let y = t - -58822/4971. Calculate the common denominator of y and ((-74 + 3)*(-2)/12)/2.
12
Suppose 3*t = 6*p - 5*p + 21, p + 21 = -t. What is the common denominator of 46/1243 and p?
1243
Let w be 1 + (20/9 - 38/171). Suppose -4*l - w*f = -52, -8*l + 5*f = -6*l - 52. Calculate the least common multiple of 10 and l.
80
Let n(v) = -1272*v**2 - 5*v + 4. Let c be n(3). Let a = c - -366727/32. Let m = -10367 - -20697/2. What is the common denominator of a and m?
32
Let c(a) be the first derivative of 737*a**2/2 - 23*a - 39. Let i be c(7). Let p = i - 71839/14. Calculate the common denominator of p and 41/22.
154
Let h = -20087831/2330 + 43106/5. Let s = 28341/69434 + h. Calculate the common denominator of s and -79/4.
596
Calculate the common denominator of (-44749)/12848 - ((-15)/16 + 1) and -59/342.
3762
Let p be ((-4)/32)/((-4)/(-19954)). Let s = 621 + p. Find the common denominator of s and (141/(-54))/1 - (-4 + (-10)/(-4)).
144
Let l(w) = -259*w - 12. Let j be l(9). Let z = -51591/22 - j. Find the common denominator of z and (-244)/(-48)*(-6)/(-8).
176
Let m = 1595524 - 140417443/88. Let f be 4965/6*(6 - 615/100). Let l = m - f. Calculate the common denominator of l and -16/3.
33
Let r = 52/165 - -43/165. Suppose -3*x = 12, -3*x - 12 = 4*b + 2*x. Find the common denominator of r and 80/(-14) - (0 - b).
231
Suppose 0 = -2*m - g + 12, 0 = 1254*m - 1255*m + 4*g - 12. Suppose 0 = 2*z + 5*y - 42, 4*y = -5*z + 2*z + 49. Calculate the smallest common multiple of m and z.
44
Let c(s) = -3987*s - 141. Let y(l) = -1329*l - 47. Let z(k) = 2*c(k) - 7*y(k). What is the lowest common multiple of z(1) and 16?
1376
Let d = 2246833/152 - 14782. Let n = -3091/984 + 2/123. What is the common denominator of n and d?
152
Suppose -t = -u - 21, -10*u + 45 = -11*u - 5*t. What is the common denominator of -37/104 and (-6)/(-312)*690/u?
520
Suppose 7*l + 34 = 916. Let j = l + -118. What is the lowest common multiple of 2 and j?
8
Let f be 75/615*4281/(-48). Let j = f + 264/41. Find the common denominator of -119/60 and j.
240
Let z = -138245/3 + 27925769/606. Find the common denominator of 14972/760 + 200/(-8) and z.
1010
What is the common denominator of -25/3573 and ((-12)/(-28))/((-108381)/2093)?
25011
Calculate the least common multiple of (-1 + (-109)/(-3))/((-8)/(-36)) and 53.
159
Let y(n) = n + 1. Let o(i) = -i + 3. Let j(t) = -o(t) - 2*y(t). Calculate the lowest common multiple of (-100)/(-6) - 96/(-72) and j(-11).
18
Let t = 19070 + -3470795/182. Let l = 8023/1456 - t. Calculate the common denominator of 63/22 and l.
176
Let z be ((-8)/20)/((-277)/45). Let g = z - 26905/554. Let y = 26136 + -522599/20. Calculate the common denominator of y and g.
20
Suppose -18 = -5*q + 4*o, 5*q + 3*o = 8 - 4. Suppose -3*b + 8 = q. Let k = -88