34.
6670
Let x(f) = 28*f**3 - 8*f**2 - 3*f + 10. Let n be x(5). Let c = -36199/11 + n. Calculate the common denominator of c and 33/4.
44
Let i(r) = r**2 - 3*r. Let c be i(3). Suppose c = d - g - 18, g + 2*g + 15 = 0. Suppose 499*o - 154 = 345*o. What is the lowest common multiple of o and d?
13
Calculate the common denominator of 3/304 and 6/32*(712/(-267))/(8/6).
304
What is the common denominator of 12865/7968 - (10/6)/5 and 119/20?
160
Calculate the common denominator of (((-6)/(-15))/((-164)/(-83)))/(7965/1062) and 71/410.
6150
Let t be ((-28)/(-12) - 3)*-9. What is the smallest common multiple of (-364)/(-20) + (-1)/5 and (-4)/6*26*t/(-4)?
234
Let s be (4/(-6))/(((-5560)/15)/8). Let p = s - -9430/1529. Let k = 25/44 + p. What is the common denominator of k and 91/8?
8
Let y = 857/19 + -12899/342. Let t = -63221/6 - -10551. Calculate the common denominator of y and t.
18
Let i(o) = 1139*o - 3413. Calculate the lowest common multiple of i(3) and 1208.
1208
Suppose 2*n + 5*c - 68 = 0, -76 = -2*n - c + 8. Calculate the smallest common multiple of n and 120.
1320
Let p(a) be the first derivative of -a**4/4 + 2*a**3/3 + 3*a**2/2 + 3*a - 3. Let x be p(3). Calculate the least common multiple of (-1)/x + (-320)/(-15) and 3.
21
Let x = -374601125212/59982771 - 146/582357. Let o = -1561671553/250187 - x. Let g = o + 5/347. Find the common denominator of 1 and g.
7
Let n = 88510489/530 - 167001. Calculate the common denominator of -71/12 and n.
3180
What is the common denominator of ((-53)/5)/((-4851)/(-735)) and 99/32?
1056
Suppose 0 = q + p - 984, -2280 - 1648 = -4*q - 2*p. What is the lowest common multiple of 273 and q?
38220
Suppose 22*u + 499 = 5*n + 21*u, u = -3*n + 293. Calculate the smallest common multiple of n and 363.
1089
Let x be (4 - -3003)/(2 - 32). Let j = x + 401/4. What is the common denominator of 42/25 and j?
300
Calculate the common denominator of ((-380)/(-350) + -1)*66/9 and -85/574.
2870
Let z = -376 + 96. Let n = 315 - 316. What is the common denominator of 14/39 and z/441*18/15 + n?
273
Suppose 0*b + 58 = 6*b + 10. Let s(c) = c**2 - 2*c - 5. Calculate the lowest common multiple of b and s(-5).
120
What is the common denominator of -86/5145 and (-3)/(-2) - (-53295)/(-54264)?
41160
Let w(i) = 6*i**2 - 28*i - 8. Let g be w(-9). Let d = -726 + g. Suppose f - 5*c - 52 = -13, 2*c + 126 = 5*f. What is the lowest common multiple of d and f?
24
Suppose 2*t + 2*v - 22 = -0*t, t + 9 = -5*v. Let s(w) = -7*w - 20. Let p be s(-5). Suppose 7*c - p*c + 16 = 0. What is the least common multiple of t and c?
16
Suppose 0 = 5*n + 2*q + 134, -4*n = -3*q - 47 + 168. Let i be 12/(-38) + 1 + 20/n. Let p = 1789/1995 + i. What is the common denominator of 37/8 and p?
120
Let y = 47141/14740 - 172/55. Let d = 78568 - 2828377/36. What is the common denominator of y and d?
2412
Suppose 5*w + 3*l = 225, 3*w + 9*l = 5*l + 124. What is the smallest common multiple of 24 and w?
48
Suppose 48 = 2*r - 0*r. Let m = -20 + r. What is the least common multiple of m and (8/2 - -2)*(-2)/(-6)?
4
Suppose 4*m + 5*b - 285 = 9*m, 5*m + 4*b + 258 = 0. Let s = 62 + m. What is the least common multiple of 1 and s?
8
Suppose 4*s - 3*y - 67 = -213, -2*y - 4 = 0. Let p = 43 + s. Suppose -40 = -p*j + 5*f, -32 = -4*j - 0*j - 2*f. What is the lowest common multiple of 14 and j?
56
Let d be (8/(-2))/((-2)/5). Suppose 4*j + 4*n = -0*j + 48, j + 8 = 4*n. Find the common denominator of (3 - j)/d*118/(-4) and 55/13.
52
Suppose -l + 4*l = 90. What is the common denominator of (-27)/l + (2 - 5) and (-172)/(-48) - (-4)/8?
60
Suppose -s + 14 = -2*s + 5*o, -5*s - 4 = -3*o. Let z = 9 - s. What is the smallest common multiple of 15 and (0 - 1 - (z + -11)) + 10?
60
Let c = -5 - -7. What is the lowest common multiple of (-8)/(-272)*807*8 + 6/51 and c?
190
Suppose 1020 - 961 = -f. Suppose -5*t - 245 = -0*t. Let h = t - f. What is the least common multiple of h and 4?
20
Let c = 156902/3 + -52855. Let o = c - -11521/21. Find the common denominator of o and 36/91.
91
Let j(x) = 6*x + 23. Let n be j(-5). What is the common denominator of 1 + (385/135)/n and (130/(-15))/(22/(-4))?
297
Let x(q) = 17*q - 1. Let g be x(3). Let s(o) = 2*o**2 + 50*o - 136. Let z be s(-27). What is the least common multiple of ((-54)/(-21))/(g/z - -2) and 4?
12
Find the common denominator of (-93)/(-304)*-2*4*15/(-54) and -23/36.
684
Let i = 4 + -5. Suppose -24 + 28 = t. Calculate the smallest common multiple of 1 and 3 + t + -5 + i.
1
Suppose y + 19 = 5*h, 20 = 7*h - 3*h - 2*y. Suppose -f + h*f - 60 = 0. Suppose 7 = m - 3*t + 1, 5*t = 5*m - f. What is the least common multiple of m and 27?
54
Suppose 6452 - 250 = 7*z. Let x = z - 882. Calculate the lowest common multiple of x and 43.
172
Calculate the common denominator of ((-44)/(-246))/((-960)/900) and -65/2952.
2952
Let z be 1136/42 - 4/(-12). Let a = z - 33/7. Let k = -3893/7 - -553. Find the common denominator of a and k.
21
Let r = -223141955/594 - -375660. What is the common denominator of 64/297 and r?
594
Suppose 18*j = 28*j - 910. Let y = -43 + j. Calculate the lowest common multiple of y and 66.
528
Let j(d) = -3*d - 13. Let i be j(-7). Let v = 22 - -10. Calculate the smallest common multiple of v and -9 + i + (-4)/(-2).
32
Let s be 9 - 6 - -19*3. Suppose -2*v + 4*r = -5*v + s, 15 = 5*r. Calculate the least common multiple of v and 10.
80
Let u = -257 - -257. Suppose u = 7*o - 98 - 56. Calculate the least common multiple of o and (-14)/(-5)*(-5)/(-1).
154
Suppose 0*r + 14 = 7*r. Let m = 1034 + -11358/11. Calculate the common denominator of 6/((-108)/(-118)) + r/3 and m.
99
Let w = 116957/143640 + 1/20520. Let k = 3472681/98 + -35435. Calculate the common denominator of w and k.
490
Let v = 79 + 7. Let l = 1667/72 + -135/8. Calculate the common denominator of -2 - (1 - v/30) and l.
90
Suppose -4*c - 12 = -2*h, -3*c + 3 = -4*c + 3*h. Calculate the least common multiple of (-98)/(-7) + 6/c and 24.
24
Let c = -10 - -16. Suppose 0 = -c*a + 3*a + 27. Let r = 4646 - 4611. Calculate the smallest common multiple of r and a.
315
What is the common denominator of ((-66)/(-11400)*5)/(115/20 + -6) and 15/76?
380
Suppose -8*u = -49*u - 246. Calculate the common denominator of -47/16 and (u + -91)*2/(3 - 75).
144
Let s = 68 - 63. What is the lowest common multiple of s + 5*(0 + -9)*-1 and 16?
400
Suppose 0 = 3*u + 2*a - 2348, -9*a = -u + 116 + 686. What is the lowest common multiple of u and 560?
3920
Let n = 362 - 346. Suppose 3*d - 726 = 2*s, 0*d - 5*s = -d + 255. What is the least common multiple of ((-3)/9)/((-5)/d) and n?
16
Suppose 4*w = s - 42, -12 = 2*s - 3*w - 86. Let m = s + -18. Suppose 3724 = 17*f + 65*f + 184*f. What is the least common multiple of f and m?
112
Suppose -3*j - 10*p + 11*p = -4232, -3*j + 4252 = 4*p. Suppose 28*q - j = 492. What is the least common multiple of q and 36?
612
Let r = -49747/10 + 4963. Let h be (-6)/(-21) - (-1542)/(-7). Find the common denominator of r and ((-2)/3)/((-10)/h).
30
Suppose 2*p - 10 = -0. Suppose -p*n + 3*n = -3*u + 24, -5*n + 16 = 2*u. What is the lowest common multiple of u and 12?
24
Let o(j) = -j**3 - 12*j**2 + 50*j + 578. What is the lowest common multiple of 216 and o(-14)?
1080
Let t = -2/2289 - 231181/9156. Let u = 29552 - 1063787/36. Find the common denominator of u and t.
36
Let i be ((-68)/(-24) - 2)*6. Let y = 7 - 1. Calculate the least common multiple of y and i/3 + -2 - 19/(-3).
6
Let k be 3 - (-12)/10*(4 + 21). Suppose -18*l + 141 - k = 0. Calculate the common denominator of -23/3 and l.
3
What is the lowest common multiple of (1 + -4)*2/24*-28 - -950 and 348?
3828
Suppose 6439 = 65*i - 10851. Calculate the lowest common multiple of 570 and i.
3990
Let u = -5180483/636 - -32581/4. Calculate the common denominator of u and -47/33.
1749
Let u = 2/108225 - 2525336/4653675. Find the common denominator of u and -13/817.
2451
Let m be -9*(0 - 7) - -9. What is the common denominator of 1798/m + (-16)/72 and 63/55?
220
Suppose -a + 784 = 55*a. Calculate the lowest common multiple of a and 560.
560
Suppose -7728 = -241*r + 185*r. What is the lowest common multiple of 69 and r?
138
Let j = 294 - 285. Let n(r) = -r**2 + 8*r + 15. Let f(y) = 4*y - 9. What is the smallest common multiple of f(6) and n(j)?
30
