. Let g be 0/(-3) - (-7 + -3). Calculate the least common multiple of 2 - (-3 - 1 - g) and m.
16
Let g = 6 + 0. Let p be (g/(-6))/(-1 - 0). What is the lowest common multiple of 40 + -1 - (p - 4) and 4?
84
Let c = -16 + 23. Let i = c + 9. Let q = -31 + 49. What is the lowest common multiple of q and i?
144
Find the common denominator of ((-143)/5)/((-48)/(-20)) and (-3)/(-8)*35/21.
24
Let t = -48 - -80. Let l = t + -23. What is the lowest common multiple of l and 30?
90
Let q = 57203/27 - 2119. Let l = -1/4123 + -490625/49476. Calculate the common denominator of l and q.
108
Let d be -3*4/(-24)*-2*9. Let z = d + 39. Calculate the least common multiple of 16 and z.
240
Let y = -276 + 296. What is the lowest common multiple of y and 14?
140
Suppose -3198 = -7*g - 405. Calculate the smallest common multiple of g and 3.
399
Let d(b) = -b + 9. Suppose -30*f - 22 = -28*f. Calculate the least common multiple of 18 and d(f).
180
Let d(l) = -15*l**2 - 2*l - 5. Let f be d(-3). Calculate the common denominator of (f/8)/((-44)/(-8)) and -95/4.
44
Let p = 0 + 7. Let c be -1 + 6*(-3)/(-6) - 0. What is the least common multiple of p and (-663)/(-34)*3/(9/c)?
91
Let r(z) be the third derivative of -z**6/120 + 2*z**5/15 - z**4/24 + 3*z**3/2 + 2*z**2. Calculate the lowest common multiple of r(8) and 32.
32
Suppose -7*n = -10*n. Suppose n = 5*y - 20, 4*w + 2*y - 48 = 2*w. Suppose -3*h - h = -w. What is the least common multiple of h and 5?
5
Let r = -1/780 + -3163/260. What is the common denominator of 27/100 and r?
300
Let j = 3795 + -68287/18. Calculate the common denominator of -145/24 and j.
72
Let o = 13 + -9. Suppose -4*l + 3*y + 120 = 0, -2*l - 38 = -o*l - 4*y. What is the least common multiple of 24 and l?
216
Suppose 0 = 5*z - 15, 4*n - 2*z + 2 = -24. Calculate the least common multiple of -2 + n/(-10)*8 and 20.
20
Let o(n) be the third derivative of n**6/120 + n**5/12 - n**4/24 - n**3/3 - 4*n**2. Suppose -20 = 3*c + 2*c. What is the least common multiple of o(c) and 18?
18
Suppose -3*v = a - 12, -5*a - 3*v = -v + 5. Calculate the common denominator of 2/a*2250/(-40) and -87/8.
8
Let w = 153677/24 + -6400. Calculate the common denominator of (3/21*(-43 + -7))/(-6) and w.
168
Suppose 14*v + a = 9*v + 1048, 4*v - 830 = -5*a. What is the lowest common multiple of v and 300?
2100
Suppose -2*p + 60 = 2*w + 2*p, 2*p - 10 = 0. What is the least common multiple of w and 4 + 0 + (1 - 3)?
20
What is the common denominator of (-1 - -10) + -2 + 154/12 and 143/12?
12
Suppose 25 = 5*n, -6*n - 45 = -5*v - n. Suppose -3*r = -5*r. Suppose 20 = 2*y - r*y. Calculate the smallest common multiple of v and y.
70
Let k = 6329/10 + -636. Let j = 14 - 19. What is the common denominator of (j/(-75))/(-3*(-4)/3210) and k?
30
Let q = 6 - 3. Suppose -q*x + 2 + 16 = 0. Calculate the lowest common multiple of 1/4 - 6*52/(-32) and x.
30
Let n = -1284 + 1572. Calculate the smallest common multiple of n and 180.
1440
Suppose 5*x = -3*c, -5*c = -0*x - x. Let i be (26/(x + 2))/58. Let l = i - 2559/290. What is the common denominator of l and -26/5?
5
What is the common denominator of 2/8 + 849/(-180) and (14/105)/2*(4 + 147/(-6))?
30
Suppose 39*z - 1140 + 672 = 0. What is the smallest common multiple of 12 and z?
12
Suppose 81*m - 31*m = 100. Let x be (15/1)/(6/(-20)). Let l = -32 - x. What is the lowest common multiple of l and m?
18
What is the common denominator of 103/184 and ((-546)/(-276) + -2)*-57?
184
Let b = -36 - -48. Calculate the common denominator of (-21)/b + (4 - 8) and -8/9.
36
Let d(h) = -5*h**2 + 30*h - 5. Calculate the smallest common multiple of d(4) and 55.
385
Let c be 556*((-3)/(-18))/(-1). Let x = -90 - c. What is the common denominator of x and 214*(-3)/(-36) + 1?
6
What is the common denominator of -35/234 and (7 - 6248/891)/((-4)/(-222))?
702
Let z = 12913/10 + -1291. What is the common denominator of -45/808 and z?
4040
Suppose 2*i = 4*b + 32, 6*i - 2*i = -b + 28. Let p = -52 - 120. Let q = -961/6 - p. What is the common denominator of i and q?
6
Let n(p) = -10*p - 27. Calculate the smallest common multiple of n(-7) and 10.
430
Let k = -75383 + 5427677/72. Find the common denominator of k and 23/18.
72
Let t = -678/29 - 7/58. Let b(i) = -25*i - 5. Let n be b(9). Find the common denominator of t and (-6)/(-24) - n/(-8).
2
Let a be (-1 - (-1 + -1))*-9. Let x = -26 - -28. What is the smallest common multiple of x and ((-12)/(-9))/((-6)/a)?
2
Let w(u) = u**3 - u**2 + 11*u + 18. Calculate the least common multiple of w(0) and 4.
36
Suppose -6*i - 18 = -12*i. Let d be 2/(2 + (-10)/4). What is the lowest common multiple of i and 2*(-3)/6*d?
12
Let k(j) = -3*j + 1. Let w(v) = 3*v + 1 + 3 + 3. Calculate the smallest common multiple of k(-5) and w(5).
176
Calculate the common denominator of ((-6)/(-160))/(63/(-3486)) and -43/56.
280
Suppose 0 = -4*r + 2*i + 28, 0 = 7*r - 11*r + 3*i + 24. What is the smallest common multiple of 819 and r?
819
Let r = -155399/13270 - -14/1327. What is the common denominator of r and 131/18?
90
Let l(p) = p**2 - 15*p + 26. Let v be l(13). Let a(u) = u + 10. What is the smallest common multiple of a(v) and (-8)/(-24) - 76/(-6)?
130
Let v = 171 - 148. What is the smallest common multiple of 6 and v?
138
Suppose -131*r + 133*r - 612 = 0. Calculate the smallest common multiple of r and 153.
306
Let y = 7 - -1. Suppose 7*b + 4 = y*b. What is the lowest common multiple of (-3)/(-4) + (-52)/(-16) + -3 and b?
4
Suppose c - 51 = 3*r - 15, 5*c - 4*r - 125 = 0. Let o = -20 - -53. Calculate the lowest common multiple of c and o.
231
Suppose 4*m + 8 = 0, -2*m = -2*y + 4*y + 2. What is the smallest common multiple of 23 and y?
23
Let y = 5 + -9. Let b be (-518)/(-14) - -1*3. What is the least common multiple of b/14*(-14)/y and 11?
110
Let r = 6/13793 + 647641/1448265. What is the common denominator of -161/150 and r?
1050
Let b(r) = r**3 - 2*r**2 - 5*r. Let q be b(4). Let j = 15 - q. Suppose j = -g, -4*t - t = 2*g - 94. What is the smallest common multiple of t and 2?
20
Let m = 13383/44 + -1215/4. Calculate the common denominator of 25/164 and m.
1804
Let r(c) = 8*c - 20. Let w(p) = p - 3. Let h(o) = 3*r(o) - 20*w(o). What is the smallest common multiple of h(2) and (180/4)/(-9) + 7?
8
Suppose 9*r - 276 = -3*r. Let x = r + -987/43. What is the common denominator of x and -83/2?
86
Let p = 27 + -13. Let i = p + -10. What is the common denominator of 41/9 and (2 - (-18)/(-11))*i?
99
Calculate the common denominator of 111/22 and (-1)/10*(-2660)/168.
132
Let z(h) = 5*h**2 - h + 1. Let j be z(1). Suppose 2*o - 4*o - 3*d - 25 = 0, -j*o - 49 = 3*d. Let r = 15 + o. What is the least common multiple of 10 and r?
70
Let w(h) = 4*h + 3. Let q be w(4). Let k = 18 - 291/10. Find the common denominator of k and ((-3)/5)/((-1)/q).
10
Let a = 16841 + -943059/56. Calculate the common denominator of a and -37/104.
728
Suppose -4552 = 5*u - 4*h, -4570 = 2*u + 3*u + 5*h. Let s = -10060/11 - u. What is the common denominator of s and 55/3?
33
Let t = 5/67 + -1149/134. Calculate the common denominator of t and 26/5.
10
Let d = -214 - -228. What is the least common multiple of 4 and d?
28
Let y be -2*(-2)/(-16) + (-1015)/(-60). Let x = y - 247/6. Find the common denominator of x and 27/2.
2
Suppose -2*d - 2*d = -44. Let f(m) = m**3 - 15*m**2 - 15*m - 15. Let j be f(16). Suppose -j = -0*b - b. Calculate the lowest common multiple of d and b.
11
Let h(g) = g**2 + 9*g + 32. What is the smallest common multiple of 5 and h(-5)?
60
Let f(h) = 3*h**2 + 2*h + 26. Calculate the least common multiple of 10 and f(7).
1870
Suppose 7*l - 84 = -0*l. Suppose -t + 2 = -16. Suppose 2*o - t = -5*g, 2*g = -o + 4*g + 18. Calculate the smallest common multiple of l and o.
84
Suppose b + 3*t = 4*b, -2*b = t - 15. Suppose -18 = -b*w + 82. Suppose 5*j + 2 - 102 = 0. Calculate the lowest common multiple of j and w.
20
Let w = 14321/4 + -3601. Let j(z) = -3*z + 2. Let h be j(1). What is the common denominator of w and (-548)/48 - h/(-2)?
12
Let d = 17 - 21. Let t(x) = x**3 + 5*x**2 + 5. Let i(a) = a**3 + 4. Calculate the lowest common multiple of i(0) and t(d).
84
Let t(y) = -y + 18. Let p = 966 - 948. What is the least common multiple of t(0) and p?
18
Let g = 38 + -33. Let x(w) = -w**2 + 18*w