).
12
Let c = 1176/11 - 23047/220. Let g = -12326/7 - -492613/280. Calculate the common denominator of c and g.
40
Suppose -9*f + 8*f - 1 = 0. Calculate the lowest common multiple of (f + 2 + 2)*11 and (-3 - (8 + -7)) + 7.
33
Let k(y) = 2*y**3 - y**2 + 1. Let p be k(-1). Let m be 6/p*(-36)/(-54). Calculate the common denominator of (2/24)/(m/52) and 14/11.
66
Let t = 10/657 + -61141/2628. Calculate the common denominator of t and -97/74.
148
Suppose -4*z + 383 = -197. Suppose 12 = -3*l, -2*n + 2*l = n + z. Let i = -42 - n. Calculate the smallest common multiple of 6 and i.
18
Let a(c) = -23*c + 421. Calculate the lowest common multiple of a(18) and 429.
3003
Let a = 42349 - 3049229/72. Find the common denominator of a and -103/3872.
34848
Let g = 20 + -17. Suppose -2*h + v = -h - 13, h = g*v + 7. What is the smallest common multiple of 16 and h?
16
Let s = -8945483041/3836 + 2331982. Find the common denominator of 35/16 and s.
15344
Let d(q) = -q**2 + 6*q + 10. Let m be d(7). Suppose -m*z = -36 + 27. What is the common denominator of 68/15 and (350/z)/(-5)*(-4)/15?
45
Let t = -9 - -25. Calculate the lowest common multiple of t and (2925/91 - -4) + (12/42)/(-2).
144
What is the common denominator of -95/22 and 2019/5562 - 16/72?
2266
Suppose 3*n = -t + 443, 27*t = 25*t + 5*n + 930. What is the least common multiple of 273 and t?
1365
Suppose 4*d = -4*a + 6*d + 8, 8 = -3*a + 5*d. Find the common denominator of -65/118 and 454/80 - a/(-20).
472
Let w = 9141 + -8907. Calculate the lowest common multiple of w and 663.
3978
Let h(f) be the third derivative of 0 + 1/3*f**3 - 1/4*f**5 - 7/12*f**4 + 0*f - 1/120*f**6 + 6*f**2. Calculate the smallest common multiple of h(-14) and 15.
30
Let v = 2 - -2. Let a(h) = 5*h**2 + 2*h - 15. Let w(x) = 14*x**2 + 7*x - 44. Let m(b) = -17*a(b) + 6*w(b). Calculate the least common multiple of m(v) and 11.
77
Calculate the smallest common multiple of 686 and (27 + (-110 - 15))*1*-2.
1372
What is the least common multiple of (-3 + 11)/(16/32)*2 and 448?
448
Let g(u) = 7*u + 19. Let z be g(-10). Let i = z - -55. Suppose 2 = -5*t - r + 138, 105 = i*t - 3*r. Calculate the least common multiple of t and 15.
135
Suppose -2*i + 4*o + 82 = -52, 2*i + 5*o - 80 = 0. Calculate the smallest common multiple of 75 and i.
825
Let f = -8276 + 11751. Find the common denominator of -28/3 and (20930/f + -6)/(8/60).
417
Let k(p) = -p**3 + 11*p**2 - 8. Calculate the lowest common multiple of k(6) and 8.
344
Let q = 915714847/714 - 1282514. What is the common denominator of q and 139/168?
2856
Let s be 277*(-67)/(-3626) + -6. Let u = s - 19/518. What is the common denominator of 1 - ((-52)/(-10) - 1) and u?
245
What is the least common multiple of (-5)/(-3)*720/100 and 56?
168
Suppose -683 = 98*u - 3035. What is the lowest common multiple of u and 200?
600
Let m = -173 - -392. Let g = m + -239. Find the common denominator of g and -54/25.
25
Let n = -2126 + 19183/9. Calculate the common denominator of (-60)/(2/(-1)) - -1 and n.
9
Let n = 16786375/57 - 294498. Calculate the common denominator of n and 6/(-21) + (-139)/126.
342
Let t = -15667/29750 + 66/119. Calculate the common denominator of 43/122 and t.
15250
Let j = 2 + 12. Let w(y) = 3*y**3 + 33*y**2 - 7*y - 43. Let v be w(-8). Let s = v + -588. Calculate the least common multiple of j and s.
14
Let j be (-3)/2*(-4)/(-3). Find the common denominator of -79/8 and (j*2/48)/(104/(-1368)).
104
Suppose -j - 3*i - 12 = -i, -4*j + 3*i = 4. Find the common denominator of (-1)/(j/(-52)*-37 - -3) and 45/46.
46
Let r be -622 + 0/(5 + -2 - 1). Let q = 644 + r. Calculate the lowest common multiple of q and 114.
1254
Suppose -5*y - 2*n = n + 2525, -2*y - 1010 = 5*n. Let a = 125282 + -13781121/110. Calculate the common denominator of a and 4/1 - y/60.
660
Let x be (-2)/(52/(-182) + (-2446)/(-3220)). Let c = -56107/13734 - x. Find the common denominator of c and 141/140.
1260
What is the common denominator of 14*-1*14/664 and 1668/(-3892) - 106/(-28)?
1162
Suppose 34*w = 35*w + 2. Let t be 2/(-6) + w + (-2618)/21. Calculate the common denominator of -59/22 and (t/(-8))/(35/4).
770
Let w(h) = -3*h**2 - 6*h + 4. Let q be w(-3). Let d be (1/(-3))/(q/30). Suppose -d*p + 5 = -13. Calculate the least common multiple of 3 and p.
9
Let s = -144841/223020 - -628/1239. Calculate the common denominator of 131/432 and s.
2160
Suppose 0 = 5*a + 5*b + 15, -2*a + 29 = -3*b - 2*b. Calculate the common denominator of (a/1308 - 0)/(2/40) and -37/33.
3597
Suppose -2*y = u - 35, 9*u + 21 = 3*y + 6*u. What is the least common multiple of 5308 and y?
37156
Let l(q) = -9*q + 133. Let s be l(8). Suppose -181 - s = -22*a. Let n(p) = -p**3 + 9*p**2 - 6*p - 7. What is the lowest common multiple of n(6) and a?
715
Let t = -439 + 674. Let y = 330 - t. Calculate the lowest common multiple of y and 55.
1045
Calculate the least common multiple of 32/24*(151 - -11) and 432.
432
Let c = 1264 + -8761/6. Let o = c - -731/3. Let b(k) = 2*k**2 - 13*k + 3. Calculate the common denominator of o and b(9).
2
Suppose -3*a = 18*x - 23*x + 283, 4*a + 116 = 2*x. What is the smallest common multiple of 528 and x?
3696
Let j = 1724381351/1692 - 1019138. What is the common denominator of -59/2820 and j?
8460
Let i(w) = 239*w - 397. What is the least common multiple of i(2) and 4707?
42363
Suppose -i + 66 = 3*m - 154, -m + 60 = 3*i. Suppose m - 72 = -q. What is the common denominator of (-7)/6*-14 + q and -33/14?
42
Suppose 0*a - a = 3*a - 720. What is the least common multiple of a and 660?
1980
Let n(d) = d**2 - 20*d + 19. Let u be n(19). Suppose 3*z - h - 4 - 3 = 0, -z - 3*h + 19 = u. What is the lowest common multiple of (-2)/9 - 224/(-36) and z?
12
Let x(j) = -j**2 + 11*j + 17. Let r(c) = -c**2 + 12*c + 17. Let o(p) = 5*r(p) - 6*x(p). Calculate the least common multiple of 11/(((-12)/6)/(-2)) and o(9).
110
Calculate the common denominator of 89/88 and 12/(-3872)*1700/(-120).
1936
Let d(v) = 4 + 18*v + 6*v + 41*v - 2. Let c be d(-1). Calculate the common denominator of 37/11 and (-8)/20 - c/6.
110
Suppose 54*i - 11480 = 13*i. Calculate the smallest common multiple of 945 and i.
7560
Let i = 29378 - 24953. What is the lowest common multiple of 1770 and i?
8850
Suppose -2*y + 3*i - 9 - 5 = 0, -3*i + 34 = -4*y. Find the common denominator of (-8)/y + 10933/1740 and -157/204.
204
Suppose -3*t = -6, -25668 = -2*k - 2*k - 2*t. Let l = k + -192337/30. What is the common denominator of l and -23/9?
90
Suppose 0 = -4*a - 20, 4*a = -5*r + 19 + 126. What is the lowest common multiple of 4326 and r?
47586
What is the least common multiple of 128 and (3804/(-72) - (-1 + (-9)/(-6)))*-3?
640
What is the common denominator of -18/4031 and (744/(-264))/(-2*(-1)/(-11))?
8062
Suppose 20 = -z - 2*g, -g - g - 64 = 3*z. Calculate the lowest common multiple of 44*-44*30/(-880) and z/5*(-3 - 2).
66
What is the common denominator of 137/6 and 6480/(-59292)*(6/45 + (-2)/6)?
366
Let b be (4/(3696/43635))/(84/32). Let a = 626/33 - b. Find the common denominator of a and 69/56.
392
Let r = -4503 - -409830/91. Let j = -12263/546 + r. Find the common denominator of 1 + ((-4)/(-5))/1 and j.
30
Find the common denominator of 133/144 and (-1722)/72*(4/210)/(380/(-475)).
144
Suppose 57*c - 40*c = 30*c - 52. Let l(d) = 4*d**3 - 4*d**2 + d + 1. Calculate the smallest common multiple of l(3) and c.
76
Let f = 21793 + -12727117/584. Calculate the common denominator of f and -71/2.
584
Let h(j) = j**3 - 24*j**2 - 26*j + 35. Let b = 227 - 202. Calculate the least common multiple of 47 and h(b).
470
Let g = 1055 + -639. Let v = g - 380. What is the least common multiple of v and 32?
288
Let z be 290515/(-18) - (-2 + 2). Let t = -16145 - z. Find the common denominator of (-1)/8*(-12099)/(-333) and t.
72
Suppose -p - 24 = -2*p - 4*b, 3*p = 3*b + 117. Let v = 41 - p. Suppose 10*q = v*q + 20. What is the smallest common multiple of 10 and q?
20
What is the common denominator of (36/492)/(3/(-20)) and 17/(-7) + (-20 - (-8 + -6))?
287
Suppose -x - 4*x + 1340 = 0. Suppose -16*r + 308 = -x. What is the lowest common multiple of 1 and r?
36
Calculate the smallest common multiple of ((12/(-30))/(12/360))/(2/(-3)) and ((-20)/(-6))/(2/12).
180
Let w = -331867/211197 - 2/30171. Calculate the com