5
Suppose q + 19 = -3*f, -q + 3*f + f = 26. Let y = q + 31. Calculate the lowest common multiple of (1 + -4)/((-6)/4) and y.
18
Calculate the common denominator of 131/276 and (2/(-15) - (-34903)/7260) + -5.
3036
Let a(y) = 3*y - 47. Suppose 14*c + 136 = 22*c. Let j(v) = -v + 3. What is the least common multiple of a(c) and j(-4)?
28
Suppose 16*y + 5 = 17*y, y = 2*s - 107. Calculate the lowest common multiple of s and 84.
168
Let g = -1 - -3. Suppose -v + 2*v + 6 = 2*c, -3*v = c + 11. Calculate the smallest common multiple of c and g.
2
Let w = -58 - -62. Calculate the common denominator of -75/4 and ((-10)/w)/((-24)/45).
16
Suppose 6 = 5*n - 3*n. Suppose 2*t + n*h = -2*t - 5493, -2*h - 5498 = 4*t. What is the common denominator of (t/(-272))/(2/4) and 41/10?
40
Suppose 3*r = -o + 11, o - 2 = 4*o + 2*r. Let u be (-2)/7 - o/14. Suppose -b + 3*b - 16 = u. What is the smallest common multiple of b and 4?
8
Let t(d) = 61*d - 22. What is the least common multiple of t(2) and 110?
1100
Let o = 1/32550 + -29858/667275. Find the common denominator of 49/8 and o.
984
Let u be ((-1349401)/(-48))/(15/20). Let w = -37486 + u. Calculate the common denominator of -95/24 and w.
72
Let v be (-8)/10 + (-832)/85. Let k = -26786/2533 - v. Let q = k - 9397/745. Calculate the common denominator of 37/10 and q.
10
Let r(l) be the second derivative of 1/3*l**4 - 5*l - 1/20*l**5 + 5*l**2 + 5/6*l**3 + 0. Calculate the least common multiple of r(5) and 11.
110
Suppose -4*b - 10 = -26. Calculate the smallest common multiple of (-37)/(-2) - (-95)/(-38) and b.
16
Let d = -3 + -3. Calculate the least common multiple of 4 and 39/12 + d/24.
12
Let l = -49 - -74. Calculate the smallest common multiple of l and 30.
150
Let n be (-42)/10 - (-2)/(-30)*-3. Calculate the least common multiple of ((-128)/(-40))/(n/(-10)) and 18.
72
Suppose 4*h - 77 = c + 12, 2*h + 5*c = 39. Calculate the least common multiple of 88 and h.
88
Suppose 0*r + 6*r = -12. Find the common denominator of -40/13 and r + (86/(-18) - -1).
117
Let b = 6465 + -155195/24. What is the common denominator of 87/28 and b?
168
Let g = -3653/11 - -337. Let v(i) = -i**2 + 1. Let w be v(2). What is the common denominator of g and 12*((-3)/(-9) + w)?
11
Let l = -775/14 - -3232/63. Find the common denominator of 33/16 and l.
144
Let v(q) = q**2 - 10*q + 6. Let s be v(9). Let o be 28/2 + s + 1. Calculate the common denominator of 16/(-132)*o/(-2) and 93/4.
44
Suppose -22*x + 18*x = -848. Calculate the common denominator of 87/16 and (x/6)/(6/6*-2).
48
Let r = -1008 - -1048. What is the lowest common multiple of r and 232?
1160
What is the common denominator of 23/32 and ((-83)/2)/(-2 + 4)?
32
Let b be 2*(-4)/((-32)/12). Find the common denominator of (-1)/b + (-2057)/(-510) and 139/6.
30
Suppose -7*t - 6 = 1. Find the common denominator of ((-216)/48)/(((-8)/9)/t) and -48/11.
176
Let q = 11368169/120 - 94736. What is the common denominator of -23/20 and q?
120
Let n = -4583 + 641673/140. Calculate the common denominator of n and 101/28.
140
Let q(w) = 2*w + 22. Let m(x) = -2*x + 8. Let k be m(9). Suppose 0 = 3*t - 4*u - 54, t - 10 - 8 = 4*u. What is the least common multiple of q(k) and t?
18
Find the common denominator of ((-151)/84)/(230/161) and 77/20.
120
Let r(x) = 27*x - 3. Let k(c) = -c**3 + 18*c**2 - 30*c + 13. Calculate the least common multiple of k(16) and r(1).
360
Suppose 16*o - 1976 = -1720. Let r(y) = y**2 + y + 8. Calculate the lowest common multiple of o and r(-6).
304
Calculate the common denominator of -25/63 and (-51)/(-11)*(3 + 80/(-28)).
693
Let x(a) = 6*a - 8. Let z be x(12). Suppose 8 = 4*p - z. Calculate the smallest common multiple of p and 16.
144
Let p(d) = d**3 + d**2 - 4*d + 4237. Let z be p(0). Let j = -50797/12 + z. What is the common denominator of j and 3/28?
84
Let t = 35182 + -281841/8. Let r = -4127/88 - t. Calculate the common denominator of 15/4 and r.
44
Suppose 0 = 4*a - 9*a + 2*t + 2155, 0 = 3*t + 15. Find the common denominator of (-36)/(-84) + a/28 and -50/11.
44
Calculate the common denominator of (-426)/70 + 2/7 and 45/9 - (-3 - 274/(-12)).
30
Let p(r) = 4*r. Suppose 5*u + 58 - 135 = -6*s, s + u = 13. Calculate the lowest common multiple of p(4) and s.
48
Let w = -22 - -22. Suppose 3*l - 61 - 44 = w. Find the common denominator of -103/10 and l.
10
Let m(j) = -809*j + 24. Let q be m(13). Let x = 188971/18 + q. Find the common denominator of x and -21/4.
36
Suppose -5*a + 2*a = -27. What is the smallest common multiple of (-3)/(-2*3)*14 and a?
63
Let x(g) = -73*g - 280. Calculate the least common multiple of x(-4) and 9.
36
Find the common denominator of (-4)/(-4) + (-9 - (-1017)/126) and ((-51)/(-15))/(4/6).
70
Let w = 3418 - 3411. Let u be (1 - 1)*2/(-4). Suppose l + 0 - 2 = u. Calculate the smallest common multiple of w and l.
14
Let j be 6/27 - ((-3027)/(-54) + 2). Let n = j + 58. Calculate the common denominator of n and 71/4.
12
Let o(k) = k**2 - 5*k - 22. Let n be o(8). Suppose -n*t + y + 21 = -t, 0 = -5*t + y + 93. What is the smallest common multiple of (-36)/(-10)*(2 + 3) and t?
18
Suppose -5*x - 25 = i, 5*i - 4*x = 3*i - 120. Let k be 30/i + 17169/70. Let s = k - 1642/7. Find the common denominator of -47/8 and s.
40
Let u = 4 + 0. Suppose u = v + 2*f, -4*v - f + 40 = f. Find the common denominator of (v/10)/(264/560) and 25/8.
88
Let b = 3440/1251 + 31/556. Find the common denominator of b and -123/40.
360
Suppose -5*h = 182 + 1603. What is the common denominator of -61/2 and (28/(-10))/(84/h)?
10
Let j(d) = -4*d. Let a be j(-1). Suppose -3*z - a*f = -240, 2*z = 6*z + 2*f - 310. Calculate the lowest common multiple of z and 7.
532
Let u = -388763/1810 - 817/181. Let i = 422 - 637. Let g = u - i. Calculate the common denominator of -23/9 and g.
90
Suppose 3*j = -15, 4*o + j - 4969 = o. Let r = -1639457/5 - -326240. Let a = r + o. Find the common denominator of a and -21/2.
10
Let x(u) = u**2 - 7*u + 5. Let o be x(6). Let c be 3/o + (6 - -1). What is the lowest common multiple of 0 - (-18)/(c - 1) and 1?
6
Calculate the lowest common multiple of 210 and (-84 + 81)/(1/(-49)).
1470
Let w(v) = -v**3 + 8*v**2 - 10*v - 2. Suppose -5*a = -2*z - 9 - 17, a = -4*z + 14. What is the lowest common multiple of 6 and w(a)?
30
Suppose -4*x - 20 = -4*u, -3*u = 4*x - 0 - 1. Let a be 5*(1 - (1 + x)). Let o = -8 + a. Calculate the lowest common multiple of o and 10.
10
Suppose -3*a - 2*t + 14 = 0, -5*a = -4*t - 34 - 4. Suppose 3*d - 5*s - 12 = 0, -6*d - 16 = -10*d + 5*s. Calculate the least common multiple of a and d.
12
Let w = 18 + -239. Calculate the least common multiple of 28 and (-2)/8 - w/52.
28
Suppose 0 = -b + 2*b + 27. Let v = b + 12. What is the lowest common multiple of 14 and 5*(-2 - 72/v)?
14
Suppose -2*s + 4*x - 35 = 55, -2*x + 193 = -5*s. Let d = 40 + s. Calculate the least common multiple of 21 and d.
21
Let b be 9 - 6/(0 + 2). Suppose 0 = -3*t + 6*t - b. Calculate the least common multiple of t and 4.
4
Let o be (9/(-660))/((-231340)/(-57832) + -4). Let w = -619/10 - o. What is the common denominator of w and 45/13?
143
Let f = 240 - 234. Calculate the lowest common multiple of f and 4.
12
Let u = 5307 - 95651/18. Calculate the common denominator of -83/72 and u.
72
Let u = 253 + -223. What is the lowest common multiple of u and 42?
210
Suppose 4*x = -4*v - 36, 3*x + 2*x + v = -41. Let w(n) = -n**2 - 8*n + 5. Let r(j) = j + 15. Calculate the least common multiple of r(-8) and w(x).
35
Let h(y) = 2*y**2 + 2*y. Suppose 57*k - 2036 = -212. Calculate the smallest common multiple of k and h(3).
96
Find the common denominator of -73/36 and (-2)/(-11) + 734/(-528).
72
Let t = -10/53 + 1935/424. Let p = -64435 + 2319811/36. What is the common denominator of t and p?
72
Suppose 6719 + 7029 = -7*l. Let k = -29479/15 - l. What is the common denominator of k and -24/11?
165
Suppose -c - 30 = -5*c + 5*i, 3*i + 11 = c. Suppose -c*w - 12 = -f, 5*w + 16 = 4*f - f. What is the common denominator of (212/(-24) + 4)/w and 131/18?
36
Let x = 15/604 - 5639/5134. Find the common denominator of x and -29/12.
204
Let j = -21364 + 60232/3. Let k = 6421/5 + j. Let i = -3369/2 - -1644. Calculate the common denominator of i and k.
30
Let l be (4/(-6))/((-8)/108). Let m = -255 + 273. Calculat