12). Let x = -399936/7 - u. Let q = x - -1546. Find the common denominator of -55/4 and q.
8
Let v = -1546987684248 + 388578554479516823/251184. Let k = 8/5233 - v. What is the common denominator of k and 27/10?
240
Let m(y) = 3*y + 63. Calculate the lowest common multiple of 154 and m(-19).
462
What is the least common multiple of 108 and 1/(-1*(-11)/231)?
756
Find the common denominator of 1638/(-288)*(1 - 2) and -48 - (0 - (-3)/2).
16
Let c = -27 - -29. Suppose -l = -4*h - c*l + 20, 5*h - 16 = l. Calculate the common denominator of 23/2 and (-2)/h + (-551)/(-285).
30
Let d = 4870/3 - 165751/102. Let c = 3653 + -32833/9. What is the common denominator of d and c?
306
Let i = 1069 - 2083/2. Find the common denominator of -31/3 and i.
6
Let f = -212913/16 + 13319. Let a = 11 - f. What is the common denominator of -9/16 and a?
16
Let u(a) = -3*a + 4*a**2 - a**2 + 7*a + 3. Let r = -18 + 20. Calculate the lowest common multiple of u(-2) and r.
14
Let k(m) = -3 + 0*m + 5*m + 0*m. Let f = 3036 - 3033. Calculate the smallest common multiple of k(3) and f.
12
Let z(r) = 4*r**3 + 12*r**2 + 34*r + 20. Let g be z(-15). Let b = g + 609685/54. What is the common denominator of b and 13/20?
540
Suppose 2*z = -3*l + 8, 6*z = -l + 5*z + 2. Suppose 5*w + 61 = 4*o - 66, -o = -4*w - 40. Let u = -18 + o. Calculate the least common multiple of l and u.
20
Suppose -3*h + 2*c = -252, 5*h + 106 - 526 = 3*c. Calculate the smallest common multiple of 120 and h.
840
What is the common denominator of (121/7)/((-198)/231) and -97/4?
12
Let d be 1 - -2422*(-51)/36. Let g = 3409 + d. Find the common denominator of g and (110/9)/2 + 2.
18
Let z = -8592 - -13241. Let n = z - 148805/32. Calculate the common denominator of 83/40 and n.
160
Let t(g) = -g**2 - 19*g - 87. Calculate the least common multiple of 6 and t(-8).
6
Let u = -54396 - -52600937/967. Let o = -95713/3868 - u. What is the common denominator of o and 19/8?
8
Let y be (-3*(-1)/(-3))/(-1). What is the lowest common multiple of (-6 - -7)/(y + 0) and 4?
4
Suppose u - 135 = -4*u. Find the common denominator of 73/16 and u/80 - (-8)/(-20).
16
Suppose q - 1356 = 7*q. Calculate the common denominator of 12/8 - 18/8 and (-2)/((-1)/(q/40)).
20
Suppose 4*f = -4 - 40. Let a be 4/22 + (-339)/f. Find the common denominator of (-1)/(-1)*a/(-4) and -1/2.
4
Suppose 0 = -2*x + 5*x - 153. What is the lowest common multiple of x and 85?
255
Suppose -34*b = -37*b + 288. What is the least common multiple of b and 192?
192
Suppose -6 = -0*b - 3*b. Suppose b*p = -4*h + 2*h + 16, p = -4*h + 2. Suppose -p*j + 12 = -7*j. Calculate the smallest common multiple of 38 and j.
76
Let l(q) = -q**3 - 12*q**2 + 2. Let f be l(-12). Suppose 0 = 4*c - 3*s - 67, c + f*s - 15 = -1. Calculate the least common multiple of 18 and c.
144
Let z(k) = k**3 + 9*k**2 + 9*k + 12. Let x be z(-8). What is the common denominator of 38/9 and 2/6 + 52/36 + x?
9
Suppose 0*r + 26 = 2*r. Suppose 0 = -4*k - 5*u - r, k + 14 = -k - 4*u. Calculate the least common multiple of k and (15 - 7)/4 + 6.
24
Let d(n) = -3*n - 22. Calculate the smallest common multiple of 112 and d(-8).
112
Let c(r) = -r**2 - 13*r + 18. What is the least common multiple of 27 and c(-9)?
54
Find the common denominator of 1395/63*(-11)/(-110) and -1 - (-2)/40*-226.
70
Let s be 9 + (0 - 0) + -3. Suppose -2*y + 19 = -3*w, 3 = y - w - s. Calculate the least common multiple of 8 and y.
8
Let m(x) = -3*x**3 + x**2 + 2. Calculate the lowest common multiple of (15*(-2)/18)/(10/(-36)) and m(-2).
30
Let o = 416 - 398. Calculate the smallest common multiple of o and 12.
36
Let h(d) = -d + 9. Let o be (-2)/6 - 558/27. What is the smallest common multiple of h(o) and 9?
90
Calculate the common denominator of -79/18 and (-6)/(-81) + 7345/22464.
576
Let r be ((-34)/(-8))/(-2*2/16). Let w = 25 + r. Calculate the lowest common multiple of 32 and w.
32
Suppose 4*i - 23 = 3*a - 0*a, 0 = -2*i + 3*a + 19. Suppose -i*o - 2 = -n + 44, -52 = -n + 5*o. Calculate the smallest common multiple of 6 and n.
42
Let s(h) = -h**2 + 4*h - 1. Let k = -22 + 29. Let m be s(k). Calculate the least common multiple of 11 and -4*(m/(-8) + -3).
11
Let u = -12626 + 227207/18. What is the common denominator of -41/6 and u?
18
Let u(x) = 13*x**2 - 6*x. Suppose 0*p = -4*w - 3*p - 36, p - 20 = 4*w. Let o be u(w). Find the common denominator of 41/6 and (-175)/o - 2/(-9).
24
Suppose -6*f = 4*f - 160. Find the common denominator of -61/66 and -17 + f + (-406)/(-36) + -2.
198
Let g(w) = w**3 - 18*w**2 + w - 25. Let n be g(18). Calculate the common denominator of -5 - (16107/510)/n and -59/20.
340
Let s = -150933/20 + 7551. What is the common denominator of s and 39/(-24)*(-20)/22?
220
Let o = 11987/1392 - 665/58. Find the common denominator of 11/32 and o.
96
Suppose -136 = -3*y + 38. Let l = 68 - y. Suppose 0 = -2*i + 3*v + 29, i + 83 = 6*i + 3*v. What is the lowest common multiple of i and l?
80
Let j = -16/5469 - -596761/218760. Find the common denominator of 23/48 and j.
240
Let g(d) = d**2 + 13*d - 136. What is the smallest common multiple of g(-20) and 20?
20
Let o(p) = -p**2 + 16*p - 3. What is the lowest common multiple of 42 and o(15)?
84
Let y = -179 + 193. What is the smallest common multiple of 6 and y?
42
Let s(i) = 4*i**2 - 24*i + 12. What is the lowest common multiple of s(7) and 4?
40
Suppose 0*p = 5*p - 10. Suppose -41 + 25 = -4*g. What is the least common multiple of p and g?
4
Let q = -474692969/12369 - -390236/589. Let n = q + 216001/6. Let o = n + 1712. Calculate the common denominator of o and 83/4.
28
What is the smallest common multiple of 37 + (-10)/2 - (0 + 2) and 20?
60
Let x = -1085447/42 - -25846. Let b = 97/7 - x. Let s = -378169/16996 - -2/4249. What is the common denominator of b and s?
12
Let w be ((-378)/(-45))/((-6)/40). What is the common denominator of 58/7 and (-7)/(-49) + 351/w?
56
Let q = -456 - -526. What is the lowest common multiple of q and 60?
420
Suppose 2*h + 2*u - 54 = 0, 51*h = 46*h + u + 123. Calculate the lowest common multiple of 17 and h.
425
Let q be (1489/(-595))/(2/(-485)). Let c = -4254/7 + q. Let p = 318407/22 - 14470. Calculate the common denominator of p and c.
374
Let f(g) = -17*g - 9. Let h be f(15). Let t be -6*(8/(-20) + 1626/40). Let k = t - h. Calculate the common denominator of k and -57/8.
8
Suppose -30*g = -75*g + 9990. Calculate the smallest common multiple of g and 6.
222
Suppose -29*r + 142 = -148. Calculate the lowest common multiple of r and 6.
30
Suppose 1770 - 1590 = 9*v. What is the lowest common multiple of v and 48?
240
Calculate the common denominator of (-5)/3 + 1 - 40248/(-50652) and -115/28.
1876
Let f(g) = -g**3 + 10*g**2 - 13*g + 11. Let a be f(8). Suppose 4*k - a = 21. What is the smallest common multiple of k and 2?
14
Let a = -22/631 - 26517/17668. Find the common denominator of 1/(-12)*7 - -4 and a.
84
Let i = 290 + -10. Calculate the least common multiple of 28 and i.
280
Let z be (-1)/(4/8) - -56. Suppose 0*o - z = -2*o. Find the common denominator of -117/14 and ((-3)/8)/(o/(-210)).
84
Suppose 3*n - 165 = -4*q, -91 = 4*q - 5*n - 296. Calculate the least common multiple of q and 75.
225
Suppose 3*m + 7502 = -3901. Let w = m + 15115/4. Calculate the common denominator of w and 35/11.
44
Let g = -4214800570/33 - -127736304. Let q = g + -15073. Calculate the common denominator of 5/18 and q.
198
Let r be (-248)/3690 - (-1)/9. Let p = 37/307290 - -44868703/6299445. Let n = p + r. What is the common denominator of n and -7/18?
18
Let n(q) = 27*q**3 - 9 - 14*q**3 - 12*q**3 - 18*q**2 + 19*q. Let d be n(17). Let u = d - 16. What is the least common multiple of 17 and u?
153
Suppose 0 = -f + 6*f. Let g(j) = j**2 + 1. What is the least common multiple of 22 and g(f)?
22
Suppose w + 5*h - 46 = -w, 0 = -5*w - 2*h + 136. Calculate the common denominator of (-1)/3 + (-79)/(-39) and 2/(-6)*266/w.
78
Let c(j) = 45*j**2 + 3*j - 7. What is the lowest common multiple of 5 and c(3)?
2035
Let h be 3*(-2)/(-6) + -24. Let o = h + 34. Calculate the lowest common multiple of 9 and o.
99
Let g be 14/((-6 - -4)*1). Let j be (-1)/g - 6/42. Suppose -4*d - 32 + 88 = j. Calculate the smallest common multiple of 4 and d.
28
Suppose -4*r - 2*h + 495 = -5*h, 244 = 2*r + 2*h. What is th