 = -3*k - 9, -2*k - 5*c + 1 = 7. Suppose -14092 = -16*t - 13932. Find the common denominator of 5*(-39)/6*k/t and 67/20.
20
Let x be 171250/11608 + (-12)/(-8). Let l = 4/1451 - x. What is the common denominator of l and 90/55 + 3/1?
44
Let j = -428/159 + 4/159. Find the common denominator of j and 9/45 + 31/(-30) + (-3874)/(-468).
9
Suppose 2*f = 3*f - 2*b, -5*b = f. Suppose -3*p - q - 30 = f, -3*p + 5*q - 20 = -p. Calculate the smallest common multiple of 2/4*(10 - p) and 6.
30
Let g = 4634/83 - 1305737/23240. What is the common denominator of 13/2 and g?
280
Let g be (-4 - 208/(-36)) + 2/9. Suppose -q + 12 = g*k + 3*q, -4*q = k - 2. Calculate the smallest common multiple of k and 29.
290
Let f be 1/3*0 + 3. Let z(w) = -w + 3. Let k be z(f). Suppose k = -l + 12 - 2. Calculate the smallest common multiple of 6 and l.
30
Suppose -495 - 2001 = -16*p. Calculate the common denominator of 31/18 and (4 - -6) + -5 + p/9.
18
Suppose -5*n + 210 = -6*n. Calculate the common denominator of -2 + 4 - 98/20 and (-3)/2 + n/(-112).
40
Let q(w) = 5*w + 38. Let o be q(-7). Suppose 4*y = -3*f + 1, -2*f = o*y - f - 2. Find the common denominator of -63/40 and ((-11)/8)/(((-8)/(-20))/y).
80
Let g(a) = -a**3 - 23*a**2 - 5*a + 15. Let w be g(-23). Suppose w*u + 6 = 131*u. Calculate the least common multiple of 10 and u.
30
Let k = 347863/186210 + -26/2069. What is the common denominator of -1/840 and k?
2520
Let f = -24 - -24. Suppose -3*k + 5*k + 2 = f. Calculate the common denominator of 25/18 and k + (1 - 30/28).
126
Let l = -19 - -23. Suppose -1625 = 5*a - 5*j, 10*a + 3*j + 313 = 9*a. Let g = a - -326. Calculate the least common multiple of l and g.
4
Let i be (((-320)/(-50))/4)/(4/(-10)). What is the common denominator of 7 + (i - 3609/1188) and -3/11?
132
Suppose -4*m - x = -163, -27*x = 5*m - 28*x - 197. Suppose 0 = -3*p + p + 88. What is the smallest common multiple of m and p?
440
Suppose -23 = -2*b - 3*k, 0 = 14*b - 10*b - 4*k - 16. Calculate the common denominator of -157/90 and (-117)/(-162)*10/b.
630
Let y(b) = b**3 + 20*b**2 - 38*b + 75. Let g be y(-34). Let q = g - -577895/39. Find the common denominator of -28/3 and q.
39
Let h = -7367468 + 117831011/16. Let o = h - -3027. What is the common denominator of o and (-2)/(-5) + 53/(-5)?
80
Suppose x - 11 = -c, -5*x + 4*c + 46 = 6*c. Calculate the least common multiple of x and 152.
152
Let x(l) = 7*l - 82. Let f be x(21). Let b = 57 + f. Let d = -2 - -4. What is the smallest common multiple of b and d?
122
Let s = 7 + 3. Let x(v) = 3 + 6 + 4*v - 3*v + 1 - v**2. Calculate the smallest common multiple of x(0) and s.
10
Let q = 22/179 - -9612/6265. What is the common denominator of q and -3 + 4 - 146/140?
70
Let l(y) = -2*y**2 + 75*y + 379. Calculate the smallest common multiple of 160 and l(37).
2080
Calculate the common denominator of (4 + 115/30)*(-122)/(-11895) and -41/36.
2340
Suppose -3*t = -161 + 113. Calculate the lowest common multiple of 184 and t.
368
Let v be (-308746)/120 - 15/20. Let f = v - -2579. What is the common denominator of -151/18 and f?
90
Suppose 30 = -z + 3*b + 916, 11*z + 4*b - 9635 = 0. Calculate the least common multiple of 13 and z.
11401
Suppose -4*o + 3*d = -1213, 2*o - 3*d - 439 = 166. Suppose 3*k = -118 + o. What is the smallest common multiple of 14 and k?
434
Let j = -1386 - -1450. What is the smallest common multiple of j and 72?
576
Suppose 2*z = -8, 4*t - 4*z - 8 = 20. Let m(c) = -c + 3*c**2 + 0*c**t + 4 + 1 + c**3. Calculate the least common multiple of 5 and m(-3).
40
Find the common denominator of (1957/(-942))/(-1) + -2 and -7 + ((-16951)/(-460) - 33).
9420
Let c be (-254516)/8 - 21/(-14). Let w = c + 954503/30. What is the common denominator of 149/24 and w?
120
Let j(t) = -t**3 + 18*t**2 - 32*t - 26. Let v be j(16). Let i = v + 29. What is the least common multiple of 48 and i?
48
Let r(k) = -2*k + 37. What is the smallest common multiple of r(11) and 180?
180
Let s(x) = 2*x**2 + 2*x + 4. Suppose -11 = m + 25*l - 22*l, -3*l = 5*m + 19. What is the least common multiple of 108 and s(m)?
216
Let x = 40/97 + 3537/1067. Let j = -249 + 72. Let o = j + 482/3. Calculate the common denominator of x and o.
33
Find the common denominator of 48/133 and 1435/1148*18/28.
1064
Calculate the lowest common multiple of ((-85)/(-15) - 3)/((-25330)/(-3165) + -8) and 12.
2532
Suppose 7*q + 22*q - 3359 - 3659 = 0. What is the lowest common multiple of 22 and q?
242
Suppose -102*d + 1204 + 1244 = 0. What is the lowest common multiple of 5091 and d?
40728
Suppose 2*v + 96 = 2*g, 8*g + 192 = 12*g - 3*v. What is the smallest common multiple of 24 and g?
48
Suppose 3*v - 5*l - 5 = 0, 2*l = -5*v - 3*l - 5. Calculate the least common multiple of 68/10 - v - 888/1110 and 6.
6
What is the lowest common multiple of (92/138*(-9531)/(-30))/(2/10) and 9?
3177
Let y be ((-3)/(-4))/(2/136). Suppose -39*n + 2822 = 127*n. Calculate the common denominator of -11/2 and 162/(-76)*n/y.
38
Let q be (-3)/(-985)*170/136. Let f = q - -83/29944. What is the common denominator of -71/38 and f?
152
Find the common denominator of -1 - (3 + 3) - 1652/(-259) and -103/370.
370
Let j = 682790 - 5471109/8. Let p = j - -1094. Let n = 1814195/986328 - 1/17613. Calculate the common denominator of n and p.
56
Suppose -10 = p - 2*a - 3, 5*p - 1 = a. Find the common denominator of (p/(-18))/(9*(-4)/1812) and 121/20.
540
Let v be -6 - (5336/(-6) - -5). Let p = v - 902. Calculate the common denominator of (75/10)/((-11)/(-6)) and p.
33
Let x = -4382431/230 + 19054. Let j = 11663/5038 - -84/229. What is the common denominator of j and x?
2530
Suppose 26 = 4*l - 82. Calculate the common denominator of 8877/748 - 2/17 and -1 + (1 - (-48)/l).
36
Suppose -3*q - 4635 = -5*h, 3*h - 1614 = -2*q + 1167. Let f = h - 915. What is the smallest common multiple of 60 and f?
60
Let y = 150164 + -150146. Suppose 0 = -2*m - 2*m + 200. Calculate the lowest common multiple of m and y.
450
Find the common denominator of (((-1)/15)/(6669/(-81)))/((-24)/(-2190)) and 37/208.
3952
Suppose 35*n + 46 = 69*n - 22. Suppose -4*u = 8, -5*u + 110 = 4*y - 480. What is the lowest common multiple of y and n?
150
What is the common denominator of -29/440 and 1*6/16*14/(11550/(-583))?
2200
Suppose 0 = 33*t + 76 - 10. Calculate the common denominator of t/9 + (4 - 11/45) and 87/50.
150
Let v = -638/433 - -2917667/3897. Let d = v - 743. Calculate the common denominator of d and -9/58.
522
Let x = -3/2122 - -48313/26525. Find the common denominator of x and ((-6)/105)/(2/57).
350
Let y be (-565)/45*39018/22. Let s = -73874 + 51608. Let d = y - s. What is the common denominator of d and 2/9?
99
Let f(a) = -24*a**3 - 2*a - 1. Let c(m) = -m**3 - 9*m**2 - 35*m - 166. Calculate the lowest common multiple of c(-8) and f(-1).
50
Let k be (-3)/(-7) - (-318)/42. Suppose k*q + 140 = q. Find the common denominator of (-5)/(q/(-8)) + 131/24 and 17/24.
24
Let o(b) = -b**2 - 17*b - 5. Let m be (-154)/10 + (-11)/((-220)/(-12)). What is the smallest common multiple of 110 and o(m)?
110
Let g(l) be the first derivative of 9/2*l**2 + 39 - 7*l. Calculate the lowest common multiple of 9 and g(2).
99
What is the common denominator of 6910/1332 + -2 + 7 + -8 + -2 and -143/666?
666
Calculate the least common multiple of (236/(-6))/(-2) - (-24)/72 and 48/30*(1 - -9).
80
Let x be 25941062129848/(-4813050) - 1/(4/8). Let p = x + 134743409/25. Let q = p + 1/2917. What is the common denominator of q and -5/21?
231
Let x = -1744267751/1338 + 1303638. What is the common denominator of 181/210 and x?
46830
Suppose r = -0*g - 3*g - 114001, 113997 = -3*g + 3*r. Calculate the common denominator of 7876/g + (-16)/(-152) and -57/8.
1000
Let p = -5536613/66 - -83886. Find the common denominator of p and (-1324)/168*1 - 37/((-333)/72).
462
Suppose -4*b = -4*h - 2*b + 10, -3*h + 5 = -2*b. Calculate the common denominator of 11/(-8) - 0/1 and ((-198)/52)/(-4*h/20).
104
Suppose -58*l = -53*l - 20. Let c(v) = 18*v - 64. Calculate the lowest common multiple of c(6) and l.
44
Let m be 1/(-2)*(-900)/10. Suppose 0 = 4*u + 3*n - 2076 - 392, -4*u + 5*n = -2436. What is the common denominator of -75/16 and u/(-140) - (-27)/m?
112
Suppose 0 = d + 5*k - 70, 2*k = -d + 6*k + 106. Suppose -52*b - 1313 - 2743 =