). Let y = u + 14. What is the common denominator of 83/4 and 10/y*90/48?
16
Let l(t) = -t**3 - 4*t**2 - 5*t + 1. Suppose 5*i = -4*j + j - 6, 2*i - 5*j + 21 = 0. Calculate the least common multiple of l(i) and 5.
35
Let s = 2681 - 359241/134. Let c = 7175 + -157877/22. What is the common denominator of c and s?
1474
Suppose 27 = 3*x + 9. Let f be (16/x)/(26/39). Find the common denominator of -10/9 and (-58)/f + (-7)/28.
36
Let i(c) = -2*c + 8. Calculate the lowest common multiple of i(-27) and 4.
124
Let l = 25684/9 + -514001/180. Calculate the common denominator of l and -51/40.
120
Suppose 8897 = 5*q - 7878. Suppose -4*p = 811 - q. What is the common denominator of 29 and (p/(-132))/((-2)/(-2))?
11
Suppose -2*f - 12 - 58 = 0. Let t = f + 44. Calculate the least common multiple of 4 and t.
36
Suppose 582 = 4*y + 2*g, 0 = g + 12 - 13. Calculate the smallest common multiple of y and 40.
1160
Calculate the common denominator of 10*59/(-12)*(-18)/(-1170) and 25/4.
156
Suppose -b - 6 = -2*b. What is the lowest common multiple of b and 90/(-35)*(-1 + (-11)/3)?
12
Let c = -38203703/340 - -112364. Let p = 15/17 + c. Calculate the common denominator of p and 65/18.
180
Let g = 37/11 + -23/11. Let o = -12373/2 - -6164. What is the common denominator of g and o?
22
Let c = -4 - -6. Let g = 0 - -16. What is the smallest common multiple of c and g?
16
What is the common denominator of -5/3 and 3 - ((-134)/(-18) + 3)?
9
Let m be (-373)/(-6) - 4/8. Let b = m + -1178/21. Let f = 11/13 - 253/130. What is the common denominator of b and f?
70
Let b = 967 + -31928/33. What is the common denominator of -47/18 and b?
198
Suppose -5 = -4*a + 2*b + 1, -2*b = 4*a - 10. Let o(f) = -f**3 + f + 3. What is the least common multiple of 8/(-10)*(-5)/a and o(0)?
6
Let c(i) = 31*i - 77. Let z(n) = -9*n. Let u(g) = -28*g. Let a(h) = -5*u(h) + 14*z(h). What is the lowest common multiple of c(3) and a(1)?
112
Suppose 0 = -2*b - 10, 0*d + 2*b = 5*d - 160. Calculate the lowest common multiple of 51 and d.
510
Find the common denominator of -49/178 and ((-261)/36)/((-5)/((-20)/6)).
534
Suppose n - 2 - 4 = 0. Find the common denominator of 1/(-4) + (-68)/n and 4/(-14) - (-792)/(-21).
12
Let i = -137275 + 32259573/235. What is the common denominator of 131/70 and i?
3290
Let j = 36/317 - -16046/20605. Calculate the common denominator of -2/65 and j.
65
Let d = 120221/154 + -8676/11. Calculate the common denominator of 93/32 and d.
224
Let p = 15 - 5. Let w(g) = 2*g - 10. What is the lowest common multiple of 56 and w(p)?
280
Let k(j) = j**2 - 12*j + 21. Let f be k(10). What is the common denominator of -97/68 and f - 6 - 122/(-8)?
68
Suppose 2*b + 4*k - 13 = 9, 5*k = 3*b - 66. Let m = 23 - b. Suppose -3*d + m = i, -5*i - 3*d = -4*d - 62. What is the lowest common multiple of i and 36?
36
Suppose 23378 - 23 = 45*g. What is the least common multiple of 30 and g?
5190
Find the common denominator of (84/32)/((-25)/(-30)) and -3 + ((-429)/(-18) - 0).
60
Let s = 1155 + -1125. What is the lowest common multiple of 180 and s?
180
Let n = 32 - 31. Find the common denominator of -1*n + 2114/168 and -107/28.
84
Let i(p) = 42*p + 6. Let f be i(-3). Calculate the common denominator of -38/5 and 296/f - 4/(-5).
15
Let k = 264473/116592 - -6/2429. Let j = 264331/22 - 12013. Find the common denominator of j and k.
528
Let z = 20614/21 - 4285927/4368. Find the common denominator of z and -107/364.
1456
Let t = 75 + -73. Suppose t*r = -3*c - 16 + 14, -5*c = 3*r + 5. Calculate the least common multiple of 29 and r.
145
Suppose 40 = 5*z - z + 3*y, -2*y = -8. Calculate the smallest common multiple of z and 11.
77
Calculate the common denominator of 1 - (78/(-27) - -2) and ((-8)/(-32))/((-68)/(-74) - 1).
36
Let x(p) = -2*p + 4. Let i be x(2). Suppose i = -5*a - 9 - 6. Calculate the common denominator of -5/8 and -1*((-22)/(-6) - a).
24
Suppose -15*p + 154 = -26. Suppose 0*s - 3*s + 198 = 0. What is the smallest common multiple of p and s?
132
Let j(t) = -t**2 + 2*t + 3. Let i be j(2). Suppose -i*g + 670 + 2986 = -2*v, -6092 = -5*g + 4*v. What is the common denominator of (g/8)/5 - -3 and 67/9?
18
Let l = 68 - 53. Calculate the common denominator of (-138)/16*(-2)/6 and (-386)/(-160) - 9/l.
16
Let q = -648 - -653. Calculate the smallest common multiple of 232 and q.
1160
Let h = 12508667/8 + -1561522. Let i = -2068 + h. What is the common denominator of i and 6/14 + (-607)/28?
8
Let j(l) = l - 8. Let t be ((-4)/6)/(4/(-138)). Calculate the least common multiple of 10 and j(t).
30
Let s(b) be the first derivative of -b**3/3 - 5*b**2/2 - 2*b + 25. Suppose -2*u = 0, -x - 4*x + 30 = 2*u. Calculate the smallest common multiple of x and s(-3).
12
Suppose 0 = 9*a - 5*a - 128. What is the common denominator of -29/178 and 2/(2/((-292)/a - -4))?
712
Let v(d) = d**3 - d**2 - d + 1. Let m(p) = p**3 - 8*p**2 - p - 2. Let h(k) = -m(k) + 2*v(k). Calculate the least common multiple of h(-6) and 136/10 + 4/10.
70
Let v be -1 - (-2)/(3580/21126). Let k = v + -2/895. Calculate the common denominator of -9/11 and k.
55
What is the common denominator of -94/15 and 4/(-22) + (-51475)/262416?
1680
Let p = 680 + -644. Calculate the smallest common multiple of p and 9.
36
Let z be ((-464)/805)/(-2) - 16/40. Let f = -14365/322 - z. What is the common denominator of -43/7 and f?
14
Calculate the common denominator of (-8)/(-28) + 4245/504 + -6 and 111/28.
168
Let t = -2/1693 - 55861/6772. Calculate the common denominator of -15/82 and t.
164
Let f = -72 + 70. What is the common denominator of 151/18 and (-88)/(-12) + -2 + f?
18
Let w = -5333 - -96083/18. What is the common denominator of w and -115/114?
342
Let b(p) = 6 + 50*p - 51*p - 17. Find the common denominator of b(-9) and -75/8.
8
Let q(f) = f**3 + 21*f**2 + 36*f - 14. Let y be q(-19). What is the common denominator of 41/22 and (33/y - -3) + -2?
88
Suppose -32 = -3*w + 5*n, 3*n + 10 + 2 = 0. What is the smallest common multiple of w and 16?
16
Let f = 685 + -662. Calculate the smallest common multiple of 48 and f.
1104
Let x(d) be the third derivative of d**6/120 + d**5/6 + d**3/6 + 3*d**2. Let y be x(-10). Let n = y - -17. Calculate the least common multiple of n and 2.
18
Let g(f) = f**3 + 17*f**2 + 21*f - 19. Let i be g(-15). Let c = i + -70. What is the common denominator of -30/11 and c?
11
Suppose -3*k = -g - k + 50, -108 = -2*g + 2*k. Suppose -4*m + g = -2*m - 2*w, 5*w + 95 = 3*m. What is the lowest common multiple of m + -3 + 0/3 and 1?
22
Let h = 52/41 - 2749/1230. Find the common denominator of h and 3871/(-98)*1*(-2)/12.
60
What is the common denominator of -107/84 and (-6)/((-6048)/5970) - (0 - -6)?
168
Let d(x) = -x + 3*x - 174 + 172 - 7*x**2 + x**3. Calculate the common denominator of 49/19 and d(7).
19
What is the common denominator of (-2)/(-9) + (-629)/(-126) and (-9)/24 - (-179)/40?
70
Suppose 2*m - 8 = -0, 2*m = -4*f. Let c(j) be the second derivative of -5*j**3/6 - j. What is the least common multiple of c(f) and 4?
20
Let q = 4/4963 + 302551/238224. What is the common denominator of (-1310)/(-12)*2/30 and q?
144
What is the common denominator of ((-119)/(-12))/(6 - (-56)/(-8)) and ((119/(-18))/(-1))/(-1)?
36
Let n = 336047/24 + -14000. Calculate the common denominator of 23/12 and n.
24
What is the least common multiple of 10/((-3)/(162/(-45))) and 26?
156
Let g(h) = h**2 - 10*h - 7. Let s be g(9). Let v = s + 36. What is the least common multiple of 20 and v?
20
Let b be 286/14 + 9/(-21). Calculate the least common multiple of 1 and (-5)/(b - 0)*-20.
5
Let r = -22 - -22. Suppose -3*f + 770 + 580 = r. What is the common denominator of -27/20 and ((-25)/f)/((-2)/34)?
180
Suppose 20*g - 17*g + 36 = 0. Find the common denominator of g and -113/200.
200
Let a = 2238 - 24641/11. What is the common denominator of a and -43/44?
44
Let t = 2039 - 1183. Let j be ((-8)/4 + t)*2. Let a = 20575/12 - j. Calculate the common denominator of -39/2 and a.
12
Calculate the common denominator of 51/4 and ((-7425)/200)/(258/(-4)).
172
Suppose 5*a - 174 = -14. Let t be (12/(-2))/(6/a). Let v = t + 44. What is the lowest common multiple of 12 and v?
12
Suppose 0 = -10*i + 30 + 210. What is the lowest common multiple of i and 30?
120
Find the common denominator of (1