- k. Calculate the common denominator of 61/108 and r.
108
Suppose 33 = -4*i - c + 4*c, -12 = 4*i + 4*c. Calculate the smallest common multiple of (8 + -4 - i)*2/4 and 20.
20
Suppose 4*l = -3*f - 44, 7*l = 3*f + 10*l + 39. What is the lowest common multiple of 61 - (4/f - -1)*2 and 30?
60
Let h(i) = 2*i**2 + 39*i - 24. Let x be h(-18). Calculate the common denominator of (2/(-88))/(x/(-7332)) and -7/18.
198
Suppose -8*k + 18*k = -300. Calculate the smallest common multiple of k/35 + 800/35 and 12.
132
Let r be (-4 - (2 - 11))*(-88)/(-5). Let a = r + -193. Let j = a - -111. What is the smallest common multiple of j and 43?
258
Let u = 2991/13 - 75841/325. Let h = u + -4/75. Find the common denominator of h and 65/3.
3
Suppose -3*v - 2*a + 8 = 0, 4*a + 16 = 2*v - 0*v. Suppose 4*w = -v*k + 44, 14 - 34 = 4*k. What is the lowest common multiple of -1 + 2 + 17 - 0 and w?
144
Let x(l) = -2*l**2 - 71*l + 372. Calculate the lowest common multiple of x(-36) and 604.
50736
Suppose -3*p = 5*n - 34, 2*n - p + 4*p = 10. Calculate the smallest common multiple of n and 10 + (-328 - -337) + (2 + -1 - -271).
2328
Let y(z) be the third derivative of -z**4/6 + 5*z**3/2 + 138*z**2. What is the least common multiple of y(-2) and 11?
253
Let q(s) = 2*s**3 + 66*s**2 - 67*s + 79. Let m be q(-34). Suppose 16*o - 147 = m. Let a = -11 + 17. Calculate the lowest common multiple of o and a.
12
Let u(j) = -j**2 - 4*j + 4. Let f be u(-5). What is the common denominator of 125/42 and (34 + -29)*(26/105)/f?
42
Let l(t) be the second derivative of -2*t**2 + 0 + 5/12*t**4 + 1/3*t**3 + 1/20*t**5 + 14*t. What is the smallest common multiple of l(-3) and 3?
24
Suppose 0 = 53*x - 49*x - 1584. What is the least common multiple of x and 6?
396
Let m be ((-1032)/(-10))/(3/(9 + 6)). Suppose -2*c + 200 = 2*n, -3*n = -5*c - 0*n + m. Calculate the lowest common multiple of c and 15.
510
Let v = 26507/6 - 4433. Suppose 4*b = -5*g - 1134, b + 6*g - 3*g + 287 = 0. What is the common denominator of v and b/(-126) + (-2)/7?
18
What is the common denominator of 35/823 and (-5348)/(-3596) + (-160)/(-2480)?
23867
Let m = -131 + 3014/23. Let w = 5647046 - 1558582867/276. Let p = m - w. What is the common denominator of -109/44 and p?
132
Suppose 0 = 4*n + 8664 - 8748. What is the lowest common multiple of 1593 and n?
11151
Suppose -3*h + 7*h = 2371 - 191. What is the least common multiple of h and 1199?
5995
What is the least common multiple of 1029 and 6 - 2/6*12 - (-1460)/5?
2058
What is the common denominator of 121/690 and (-881)/13416 - (-26)/(-559)?
35880
Let t = 90 - 84. Suppose 12 = 5*i - 2*g - 5, t = -2*i + 4*g. Calculate the lowest common multiple of i and 39.
195
Let j(t) = -1. Let c(l) = l + 10. Let a be c(-8). Let v(d) = 5*d + 11. Let p(n) = a*j(n) + v(n). Calculate the least common multiple of p(0) and 8.
72
Let c(g) = 18*g**2 + 125*g - 2. Calculate the least common multiple of c(-7) and (-2 + -2)*1 + 9.
5
Let q = 26263 - 24886. What is the smallest common multiple of q and 162?
2754
Let a = 13799/10680 - 1/2670. Find the common denominator of (-4693)/(-1520) - (21 - 1) - -16 and a.
240
Let w be -2 - 81500/12 - (-12)/18. Let t = w + 162955/24. Calculate the common denominator of -111/56 and t.
168
Suppose 142*h - 144*h - i = -4903, i + 3 = 0. Calculate the smallest common multiple of 2007 and h.
22077
Let n be -6*(2 + 2 - 176/12). Let b be 0 + 5 + n/(-16). What is the common denominator of -53/30 and 0 - 543/54 - -3*b?
90
Suppose 2*c + 2*d = -0*c - 16, 3*d + 4 = 2*c. Let u(y) = -783*y - 2344. What is the smallest common multiple of (-70)/(-9) + c/(-18) and u(-3)?
40
Let v(g) = -g**3 - 10*g**2 + 29*g + 29. Let y be v(-13). Suppose -149*k + y*k = 190. Calculate the least common multiple of k and 1.
19
Suppose -f + 0*f + 9 = 0. Suppose -6083 = 5*w - 16*w. Let o = w + -542. Calculate the lowest common multiple of f and o.
99
Suppose 6*v - 559 + 4423 = 29*v. Calculate the smallest common multiple of v and 3087.
24696
Let l(b) = b**3 - 32*b**2 - 8*b - 11. Let k(w) = -w**3 + 64*w**2 + 15*w + 21. Let q(f) = -2*k(f) - 5*l(f). Calculate the lowest common multiple of q(10) and 7.
2191
Let m = -45365/792582 + -1/3507. What is the common denominator of m and -5/7?
1582
Find the common denominator of -85/147 and ((-4)/(-1323)*6)/(20/(-480)).
147
Calculate the common denominator of -61/1485 and -17 + -2 + 144164/7560.
20790
Let p = -14536351359/1190 + 12215419. Let w = p + 6/595. Find the common denominator of ((-4743)/595)/((-288)/336) and w.
10
Let h = 14 + -13. Calculate the smallest common multiple of 16 and (h + (-3)/5)/((-42)/(-1260)).
48
Suppose 8*t = 13*t + 190. Find the common denominator of 25/93 and (-2 - (-131)/8)*t/570.
744
Let g(r) = -556*r**3 - 2*r. Let s be g(1). Let o = -1025 - s. Let m = -4240/9 - o. Find the common denominator of m and -16/3.
9
Suppose -81 = -30*m + 909. Let n = 35 - m. What is the smallest common multiple of 22 and n?
22
Let r = 2/10525 - 1568297/378900. Find the common denominator of -77/1272 and r.
3816
Suppose 0 = 24*w - 30*w. Suppose 31*g - 20*g - 121 = w. Calculate the least common multiple of 14 and g.
154
Let q(o) = -4347*o - 12 - 13 + 4348*o. What is the lowest common multiple of 36 and q(31)?
36
Let d(s) = 3*s**2 + 5*s - 5. Let h be d(4). Suppose 60*j = h*j - 18. Suppose -44 = -j*m + 28. Calculate the lowest common multiple of 6 and m.
12
Suppose 3*j + 3 = 0, -2*d + 7*d = 4*j + 36754. Let p = d + -455631/62. Find the common denominator of p and -29/10.
310
Let n = 51/740 + 5549/33300. What is the common denominator of -57/875 and n?
7875
Suppose 9 = -5*k + 159. What is the least common multiple of ((-112)/644)/((-30)/10005) and k?
870
Let m = 168188918089/2508 - 67060971. Let z = 111/836 + m. What is the common denominator of -74/123 and z?
2706
Let m be (8 + 0 - 3)/(2/14). Let c = m + -30. Calculate the lowest common multiple of (((-6)/3)/(-2))/(c/55) and 137.
1507
Let g(s) = 47*s - 29. Suppose -2*l + 119 - 115 = 0. What is the least common multiple of 20 and g(l)?
260
Suppose -3*w = 4*f - 83, -33*w + 38*w = -4*f + 85. Calculate the lowest common multiple of 4524 and f.
22620
Let t be (-2)/(-5) + (-294)/(-15). Calculate the smallest common multiple of 16 and -33*(t/(-3))/10.
176
Let r be 1473186/(-1473199) + 5 - 8/2. Let h = 5552979/17225096 - r. Find the common denominator of h and 85/38.
152
Let v = 7 - 3. Suppose 11*b - 252 = v*b. Let f(t) = -2*t + 38. Calculate the lowest common multiple of b and f(14).
180
Let z(u) = -u**2 + 13*u + 12. Suppose -5*f - 2*q + 56 = 0, 3*f - q = 2*f + 14. What is the smallest common multiple of 60 and z(f)?
120
Suppose 2*a - 2*c = -416, -5*a - 3*c + 0*c - 1008 = 0. What is the common denominator of (-1 - a/30)*2 and ((-22)/5)/((-4)/(-7))?
10
Let l = 0 - -4. Suppose -13*m - 6021 = -25469. Suppose 67*q = -290 + m. Calculate the least common multiple of q and l.
36
Let r = 2841 + -34159/12. Find the common denominator of 41/2670 and r.
5340
What is the common denominator of 9/175 and ((-784)/(-275) - 2) + (-368)/460?
1925
Let a = -19416229/314 + 61835. What is the common denominator of (3/(-90))/((-44)/(-4510)) and a?
1884
Suppose -2*i + 7*i = -n + 12, 2*i + 4*n + 6 = 0. Suppose -104 = -i*d - d. Calculate the common denominator of 23/11 and ((d/21)/(-1))/(2/12).
77
Let q(r) = -r**3 + 9*r**2 + 9*r + 28. Let g be q(10). Calculate the common denominator of -39/8 and ((-3)/(-105))/(g/(-1815)).
168
Let z be ((-18)/(-21))/(54/84)*-3. Let t be 1*(z - (-2 - 0)). Find the common denominator of -101/12 and 57/99*t + -1.
132
Let y(b) = -2*b**2 + 31*b - 19. Let t be y(15). What is the common denominator of 36/5 and ((-2)/t)/((-9)/441)?
10
Find the common denominator of 14 + (0 - 1860/168) and (-210)/(-184) + -4 + 3.
644
Let u = 301/18054 + -1/3009. Find the common denominator of -45/134 and u.
20502
Suppose 14568 = 143*q - 49067. What is the least common multiple of q and 19?
8455
Let t = 3671/41 - 2661497/29766. What is the common denominator of t and 97/374?
12342
Let y = -34 - -38. Calculate the least common multiple of -4 - ((-63)/(-12))/(90/(-120)) and y.
12
Calculate the lowest common multiple of (10494/159)/((-9)/(-51)) and 1190.
13090
Let s = 2/265461 - -7609492/51764895. Calculate the common denominator of s and 61/15.
5