of -85/92 and y?
92
Let k be 8/10 - 222/(-10) - -3. What is the common denominator of ((-19789)/572 - 4/k)/3 and 17/48?
48
Let k(v) be the first derivative of v**2 + 20*v + 18. Let t be k(-9). Suppose t = -2*s + 14. Calculate the lowest common multiple of s and 10.
30
Let l be (60/(-3))/(-3*4/18). What is the common denominator of ((-513)/l)/(108/45) and ((-62)/(-16) - -2)/(-5)?
40
Let x be (-12)/(-5) + (-30)/(-50). Suppose -1 = -4*f + x*q + 34, -3*q + 9 = 0. What is the smallest common multiple of -1 - -3 - (0 - -1) and f?
11
Suppose 4 = 62*s - 60*s. Suppose -6*m + 3*m = -216. Suppose m = 5*g - g. What is the smallest common multiple of g and s?
18
Suppose a + 4*d = -2*a + 1240, 5*d - 2060 = -5*a. What is the least common multiple of 1032 and a?
17544
Let i(a) = -a**2 - 45*a - 170. Calculate the smallest common multiple of 210 and i(-8).
630
Let o = 56573/4 + -14167. Let k be (-2)/(-2) - (7 + -4). What is the common denominator of 125/(-6) + (-3 - k) and o?
12
Suppose -5*d - 4*v = -264, -d + 41 = 5*v - 16. What is the smallest common multiple of 1170 and d?
2340
What is the common denominator of ((0 - -18)/(420/315))/(-4) and 31/2544?
2544
Let t = 71763/10 - 7188. Calculate the common denominator of 42/(-4)*6*(-2)/(-4) and t.
10
Suppose -575406 = -19*r + r. Let l = -3260501/102 + r. Find the common denominator of l and -145/6.
102
What is the common denominator of (-54)/8*12/111 and 4/(-12) - 36/(-189)?
259
Suppose -2*g = 3*q, q - g = -3*q. Suppose -2*n - 6*b + 4*b + 78 = 0, q = -2*n + 2*b + 66. What is the lowest common multiple of 44 and n?
396
Let t be (20/(-8))/(9/54). Let w(l) = 2*l**2 + 28*l - 14. What is the least common multiple of 2/(2/(-4) + 1) and w(t)?
16
Suppose 11*q + 28 = 28. Suppose -3*j + 89 = -i, -5*i = j - q - 3. Calculate the least common multiple of j and 12.
84
Let d be (-20)/110 - 33893/(-11). What is the common denominator of 7/24 and (d/(-156))/((-14)/(-2))?
168
Let w(p) = -969*p + 9. Let z be w(-1). Let t = z + -10719/11. Calculate the common denominator of -59/5 and t.
55
Let q = -21 - -30. Suppose 4*r + r - 2*s = 30, -2*r - 2*s = -12. Calculate the least common multiple of r and q.
18
Let p = -2755703/480 - -28698/5. Find the common denominator of p and 103/112.
672
Let y = -1112 + 22263/20. Find the common denominator of (-28945)/(-4088) - (1 - -6) and y.
2920
Let f be (-60)/50*10/(-4). Let m be 522/(-24)*(-28)/f. Suppose m = 6*u + 23. Calculate the lowest common multiple of 2 and u.
30
Suppose b + 3*p = 3*b - 9, -4 = -2*b + 4*p. Let h(x) = -x**2 + 2*x - 21. Let j be h(11). Calculate the lowest common multiple of b and (j/25 + 3)*(-40)/12.
12
Let c(g) = -g**3 - 155*g**2 - 318*g - 1796. Let j(s) = 3*s**3 - 5*s**2 + 4*s - 4. What is the least common multiple of c(-153) and j(3)?
440
Suppose -6 = 5*x - 11. Let k = x + 1. Suppose 5*o - k*a - 22 = a, -5*a = 20. Calculate the smallest common multiple of o and 1.
2
Suppose 3*j + 2247 = -g, 5*j + 0*j + 3*g = -3741. Let x = -99097/22750 - 2/1625. Find the common denominator of x and (-1 + (-61)/10)/((-900)/j).
84
Let k(z) = -z**3 + 28*z**2 + z - 252. Calculate the least common multiple of 378 and k(27).
1512
Suppose -n - 1 = -5*f, 0 = -5*n + 2*n - f + 13. Calculate the lowest common multiple of n and (1070/15)/((-6)/(-9)).
428
Suppose -4*d + 79*r = 77*r - 8200, 5*d - 10264 = -r. What is the least common multiple of 18 and d?
2052
Let w(q) = -17*q - 1. Let v = -38950 + 39040. Calculate the least common multiple of w(-2) and v.
990
What is the common denominator of (3*10/324)/(95/(-75)) and ((-2)/(-55))/((-5)/((-12125)/20))?
3762
Suppose -104205 = -2*g - 3*m, g - 104210 = -g - 2*m. Let v be g/202104 + (-1)/4. Let o = v - 116979/241402. What is the common denominator of o and -79/22?
946
Let v(s) = 81*s + 1280. What is the lowest common multiple of 86 and v(-15)?
5590
Find the common denominator of -119/24 and (16/(-60) + (-10)/(-5))/(-32).
240
Suppose -3*r = 42*s - 37*s - 36, -s = -2*r - 2. What is the least common multiple of 298 and r?
298
Let n(y) = -y**3 - 2. Let h be n(-3). Let i = h - 27. Calculate the smallest common multiple of (-24)/(-4) + i - -8 and 2.
12
Let m(a) = 23*a + 16. Let x be m(-2). What is the common denominator of 132/x + 4 - (-217)/(-45) and 23/5?
45
Let g(j) = -j**2 - 8*j - 16. Suppose -4*l - 28 = -0*l. Let o be g(l). Calculate the smallest common multiple of 22 and 3/(o/2)*(-19 + 4).
110
Suppose -3*p + 3*f = -1407, p - 479 = -6*f + 5*f. What is the lowest common multiple of p and 1896?
1896
Let z = 981279891/1280 + -766625. Find the common denominator of z and -93/20.
1280
What is the common denominator of -58/2225 and ((-204)/(-42))/(39160/154)?
4450
Let f(m) = 2*m**2 - 21*m - 21. Let p be f(-10). Suppose 0 = 4*v - p + 237. Find the common denominator of v and -45/529.
529
Let q = -4/2797 + 148289/33564. Let f be 46/(-3) - -8*3/(-36). Calculate the common denominator of 86/f*12/9 and q.
12
Suppose -4*n - 396 = 2*q, 0 = 5*q + 7*n - 6*n + 999. Let b = q + 202. What is the smallest common multiple of b and 20?
20
Let f = 62971/6 + -10497. What is the common denominator of f and -151/2418?
2418
Let j = -39083/14 + 2799. Calculate the common denominator of 61/3894 and j.
27258
What is the common denominator of 31/43 and (-12)/20 - (-81)/(-2580)*-26?
430
Let o = -7749 - -7769. Calculate the least common multiple of 110 and o.
220
Let j(x) = 3*x**2 - 60*x + 71. Suppose 2*s - 10 = -0. Suppose 7 + 13 = s*t. Calculate the least common multiple of j(19) and t.
28
Let u(f) = -f - 1. Let w be u(-3). Suppose 3*s + 3*a = 27, 3*a = w*s - 6*s + 37. What is the lowest common multiple of s and 846?
4230
Find the common denominator of 5320/(-1824)*21/15 - (8 + -1) and (-10)/4*56/(-186).
372
Suppose 4*u - u = -b + 12, 0 = -3*u + 5*b - 6. Suppose r - 30 = -u*r - g, -r - g + 6 = 0. Calculate the least common multiple of r and 61.
488
Let l(i) = i**2 - 2*i. Suppose -4*c + 5*j + 17 = 0, 0 = -5*c - 2*j + 12 + 34. Calculate the least common multiple of l(5) and 27/108 - (-46)/c.
30
Suppose 1752 = 315*b + 113*b + 468. Suppose 8*q = 3*q + 170. Calculate the smallest common multiple of b and (q/8 + -2)*4.
9
Let d = -3804 + 3986. Calculate the smallest common multiple of 1066 and d.
7462
Let k(w) = -2*w**2 - 46*w + 63. What is the lowest common multiple of k(-24) and 60?
60
Let o(j) = 5*j**3 + 2*j**2 + 5*j + 6. Let x be o(-4). Find the common denominator of x/(-24) - (-40 + 40) and -59/18.
36
Let a = 185478383445679/31438250601810 - -2/61643628631. Let b = 2/8619 + a. Let v = -65359/5 - -9673347/740. Calculate the common denominator of b and v.
740
Let k = -856 + 6727. Calculate the smallest common multiple of 27 and k.
52839
Let g(q) = -12*q**2 - 9*q + 18. Let b be g(-4). Calculate the lowest common multiple of -95*(b/(-30) - 5) and 28.
532
Let k be ((-34)/(-51))/((-1)/(-6)*-2). Let w be k/(-6) - 208/(-24). Find the common denominator of -59/57 and (366/w)/(-1 + -17).
513
Let h(n) = 34*n**3 - 2*n**2 + 11*n - 16. Let x be h(2). Calculate the common denominator of (88/14)/(x/189) and 32/7.
35
Let p be (28/(-35))/((-10)/925). Suppose -p*q - 385 = -81*q. What is the smallest common multiple of 99 and q?
495
Let j be 6/(-16) + (-1266)/(-48). Let k = j - -7. Find the common denominator of (3 - 6/k)/(-1) and -31/3.
33
Let n = -607 + 705. What is the least common multiple of n and 539?
1078
Suppose -16*v = 18070 + 228602. Let s = 508696/33 + v. Find the common denominator of s and (0 - 2)/(14/53).
231
Let z be (57/(-12) + 5)/((-1)/(-40)). What is the common denominator of -69/172 and (70/15)/(((-32)/z)/4)?
516
Let q = 36083/858 + -476/11. What is the common denominator of q and -17/182?
546
Let d = -882007/34743830 - -117/13519. Find the common denominator of -22/2313 and d.
23130
Suppose -t + 40 = 4*t. Let a(v) = -v**2 + 19*v - 28. Let p be a(16). Suppose -p*x + 126 = x. What is the least common multiple of t and x?
24
Let b be ((-178)/(-365))/(2/(-6 - -16)). Let z = b - 12663/7738. Calculate the common denominator of -27/10 and z.
530
Let u = -812 - 478. Find the common denominator of ((-4)/30)/(-2*(-96)/u) and -33/40.
240
Let k = -20 - -23. Calculate the common denominator of -63/44 and ((-25)/180)/(2/k).
264
Let x = 37490 - 24555926/655. Find the common denominator of x and -19