02
Let q = 35 - 31. Suppose 5*c = -25, q*c - 44 = -0*n + 4*n. What is the common denominator of 71/4 and 1*(3 - (-98)/n)?
8
Let t(r) = -14*r + 172. Let n be t(19). Let z = -1117/270 + 55/27. Calculate the common denominator of z and ((n/(-3))/(8/6))/9.
90
Let q(y) = -y**3 + 4*y**2 - 5*y + 5. Let r be q(2). Suppose 0 = r*t - 5*p - 9, -p + 5*p = 0. What is the lowest common multiple of 27 and t + (-24)/6 - -1*31?
270
Calculate the common denominator of (89/3)/(1710/(-3078))*(-1)/3420 and -26/3.
5700
Suppose 4*v + x - 9 - 28 = 0, 3*v = -3*x + 30. Calculate the smallest common multiple of 1402 and v.
12618
Let u = 186532/27 + -6911. Let m = 3637/792 + -155/72. What is the common denominator of m and u?
594
Let l = 18058 - 32308. Let x = l - -1068833/75. Calculate the common denominator of -63/40 and x.
600
Let f(y) = -y**2 - 3. Let w be f(0). Find the common denominator of ((-1090)/6*(-14)/(-35))/(-4) and (-303)/72*w/(-6).
48
Let k(w) = 131*w + 3605. Calculate the smallest common multiple of k(-27) and 280.
4760
Let r = 11 - 8. Suppose 4*t + 1 = 5*q, -2*q + 5 = -0*t + r*t. Calculate the lowest common multiple of t and -1 + 4 + -5 + 4.
2
Suppose -5*w = -4*m - 170, w - 126 = 3*m - 2*w. Find the common denominator of m and (-8)/78*4026/44 + 7.
13
Let z be -1 - (-5)/(10/(-4)) - 1. Let x be (z - (-18)/4)*8. Find the common denominator of 62/27 and x - ((-62)/(-18) + 4).
27
Suppose -4*x + 5*l - 13 = 0, 4*l - 18 + 4 = 2*x. Let p = -4636 - -4695. What is the lowest common multiple of x and p?
177
Find the common denominator of -155/492 and ((-18373)/(-969) - 19)*(3 + (-42)/(-8)).
8364
Let z = 29 + -26. Find the common denominator of -54/91 and (-804)/(-936)*z/(-2).
364
Let u = 3285387/132772 - 1879/76. Calculate the common denominator of u and -7/8.
13976
What is the common denominator of -3/176 and (-117055)/9136 - (-13)/1?
176
Let k = -1/1272 + 1883/1908. Calculate the common denominator of (39/(-40))/(0 + -2) and k.
720
Suppose -3*s - 5*w - 573 = s, -582 = 4*s + 2*w. Let d = -141 - s. Let j(m) = m**3 + 6*m**2 - 7*m - 4. What is the lowest common multiple of d and j(-6)?
114
Let m = 871517/10845370 + -203/6269. Find the common denominator of m and 9/55.
19030
Let i(p) = 156*p**2 + 9*p. Let q be i(10). Let w = -376613/24 + q. What is the common denominator of 611/(-208) + 1 + 1 + 0 and w?
48
Let w = -31 + 59. What is the smallest common multiple of 84/(-9)*(-144)/112 and w?
84
Let q(w) = 2*w**2 - 13*w - 14. Suppose 0 = 5*v + 5*p - 40, 2*v = -4*p + 21 - 5. Calculate the least common multiple of 50 and q(v).
50
Suppose -2*l + 100 = l + 2*r, 2*l = 4*r + 40. What is the smallest common multiple of ((-9)/4)/(8*(-27)/2016) and l?
210
Suppose 0 = 16*w + 2256 + 3360. Let n = 6323/18 + w. Let l = 1387/5 - 17089/60. What is the common denominator of n and l?
36
Let j(m) = -m - 2. Let d(a) = 5*a - 1. Let w(o) = -d(o) - 2*j(o). What is the least common multiple of w(-10) and 3?
105
Suppose -5*t = -3*i + 1 - 7, 0 = -4*t + 3*i + 3. Suppose a - 14 = t*a. What is the least common multiple of 9 and a/((-14)/16) - -3?
99
Let r = 243 + -217. Suppose 5 = -j + r. Calculate the lowest common multiple of 57 and j.
399
Find the common denominator of (16/12 - 1)*(-48 - 1) and -33/8230.
24690
Suppose 17362 = -2*x - 13052. Let g = x - -304227/20. Let j = -3027/4 - -754. Find the common denominator of g and j.
20
Let i = -600440/36519 - -723/518. Let v = i + 10/47. Calculate the common denominator of v and -6 + (-1492)/(-164) + (10 - 12).
246
Let i = 84319/22 - 3834. Calculate the common denominator of 79/10218 and i.
112398
Let a(n) = 3*n - 6. Let q(p) be the third derivative of p**5/15 - 5*p**4/24 - 5*p**3/3 - 16*p**2. Calculate the least common multiple of a(5) and q(-2).
144
Let m = -16350 - -1945623/119. Find the common denominator of m and 83/34.
238
Calculate the lowest common multiple of 2492 and (-456)/133*(-14)/6.
4984
Suppose -4*s = 3*z - 32, -14*z + 17*z + 3*s = 27. Suppose -4*j = z*y - 396, 0*j - 3*j + 199 = 2*y. What is the smallest common multiple of y and 4?
196
Let z = -5153/28 - -727/4. Let d = 42275333/10 - 4230944. Let a = 3401 + d. Calculate the common denominator of z and a.
70
What is the common denominator of ((-146900)/80)/13*(-4)/30 and 79/1122?
1122
Let u = 13 - 13. Suppose 4*x - 5 - 3 = u. Suppose -13 = -h - x. Calculate the lowest common multiple of 21 and h.
231
Suppose -9*d - 216 = -15*d. Let t be (-3 + d + -5)/(-2). Find the common denominator of (-11 + 14)/(117/t) and -163/30.
390
Let u = -11367/5 + 2278. Find the common denominator of 42/247 and u.
1235
Calculate the common denominator of -9 - 1150/15*(-19)/(-95) and 4/18 - 10/(-45).
9
Let d be -2 + 3*23514/35262. Let x = d + -64661/27426. Calculate the common denominator of 51/98 and x.
98
Let r(u) = u**3 - 10*u**2 + 10*u + 3. Suppose 2*f - 122 = -26. Suppose -15*c - f = -19*c. What is the least common multiple of c and r(9)?
12
Let r = 355 + -283. Suppose -n = r - 90. Calculate the least common multiple of 54 and n.
54
Let z = 15026/3315 + 2/3315. Find the common denominator of 26/45 and z.
45
Let o be (135/(-10))/9*(-16)/6. Suppose 4*u = -p + 7, -o*p + 7*u - 4*u - 10 = 0. Calculate the common denominator of ((1022/4)/(-7))/(-3)*p and 5/4.
12
Calculate the common denominator of (6/195)/((-216)/(-10395)) and -81*4/(-12)*(-1)/(-14).
364
Suppose -3*h - p = -0*p - 311, 2*h - 2*p = 218. Find the common denominator of 4/(-10) - 53865/(-2100) and 9/5*h/66.
44
Let m = -30 - -20. Calculate the common denominator of -87 + 92 + (-14)/22 and (6/m)/(84/30).
154
Suppose 6 = 4*n - 2*g, -6*n + 10*n - 5*g = 9. What is the lowest common multiple of (-372)/(0 - 12) - (n + -2) and (32/(-10))/((-2)/5)?
32
Suppose 0 = -2*r + 5*z + 6 - 2, -4*r = 2*z - 8. Suppose -504 = -9*k + r*k. Calculate the lowest common multiple of k and 24.
72
Let m = 18156/11 - 2413967/1463. Let f = 3004/3591 + m. Calculate the common denominator of 25/21 and f.
189
Calculate the lowest common multiple of 18*(-1 - (-28)/(-6))*(12 - 13) and 261.
8874
Let x(n) = 12*n**2 + 2*n - 60. Let t be x(9). Let d = t + -921. Calculate the least common multiple of 24 and d.
72
Let k = 444120 - 7463436602/16805. Let g be (16/1320)/(13444/(-3176277)). Let y = g - k. Find the common denominator of 143/18 and y.
198
Let f = 335674 - 83918383/250. Calculate the common denominator of f and -2/1375.
2750
Suppose 4*m + 601 = -4*q - 555, 557 = -2*q + 5*m. Let h = q - -297. What is the least common multiple of h and 54?
594
What is the common denominator of -19/5 and ((-2407)/116 - -19)*((-16)/197 - 0)?
985
Let u be (3326/(-37))/((-3972)/(-26)). Let i = u - 19/662. What is the common denominator of 1/20 and i?
2220
Suppose 0 = -3*p - 7*v + 8*v + 251, 5*v = -4*p + 303. Suppose 2*z + 180 = 4*w, w - p + 37 = 4*z. Calculate the smallest common multiple of w and 33.
495
Suppose 0 = -4*n + 3*z + 143 + 805, -4*n + 940 = -5*z. Calculate the lowest common multiple of n and 300.
1200
Let k = -3215/9 + -733/9. Let x = 449 + k. Find the common denominator of x and 1 - -1 - 24/15.
15
Suppose -5*p - 7 = -17. Suppose 2*y + 2*o = -o - 48, 2*y - 5*o = -16. Let n = y + 32. Calculate the least common multiple of p and n.
14
Let t(j) = 34*j - 179. Calculate the lowest common multiple of t(9) and 6.
762
Let h = -6196 + 6212. Let s = -5 - -9. Calculate the lowest common multiple of h and s.
16
Let r(s) = s**2 + 9*s - 21. Suppose -t - 38 = -27. Suppose k = -0 + 7. What is the least common multiple of k and r(t)?
7
Let w = 6 - 3. Suppose -2 = z + 5*y + 10, -2*z = -w*y - 28. Calculate the lowest common multiple of z and (-24063)/(-3702)*-4*(0 - 1).
104
Let l be 6/36*(-2021142)/36. Let g = 9353 + l. Calculate the common denominator of g and 103/24.
72
Let u(z) = -6*z**2 - 8*z - 1. Let f(d) = 6*d**2 + 8*d + 3. Let l(b) = 7*f(b) + 6*u(b). Calculate the smallest common multiple of l(-3) and 20.
180
Let x = -22118 - -38750735/1752. Let g = 16655/19272 + x. Find the common denominator of g and 125/18.
198
Let g(z) be the second derivative of -z**5/20 - 7*z**4/12 + 4*z**3/3 - z**2 + 21*z. Let d be g(-8). Calculate the common denominator of d/(-2) + 33/4 and 40/9.
36
Let d be 5656/(7 - 15) + 6/(-2). Calculate the common denominator of -91/60 and 80/16 - (d/(-108) + -2).
540
Let r = 4177 + -37651/