the least common multiple of n and 21.
21
Let l = -5/8 - -19/8. What is the common denominator of l and -49/8?
8
Let j(y) = 10*y**2 - 12*y - 6. Let f be j(-6). Let o be (-2)/(-3)*(-1 + -2). Find the common denominator of -9/14 and (o/16)/(15/f).
140
Suppose 5*f + 4 = 5*a - 76, -3*a - 2*f + 28 = 0. What is the smallest common multiple of a and 12?
12
Let r(i) = 30*i**3 - i**2 + 2*i - 1. What is the least common multiple of 20 and r(1)?
60
Let a = -155 + 275. Suppose 8 = -2*v - 4*j + a, 3*v + 5*j = 166. What is the common denominator of (v/(-8))/((-10)/9) and 65/12?
60
Let v = 2/325 + -3581/975. Suppose -5*s + 29 - 9 = 0. Calculate the common denominator of (-23)/(-30) - s/6 and v.
30
Calculate the lowest common multiple of 8 and (-1)/(-4) - 774/(-72).
88
Let m(a) = -a**3 + a**2 + a + 10. Suppose -d = -2*h + 12, 3*h - d + 0*d = 16. Calculate the least common multiple of m(0) and h.
20
Let s = 10 + -6. Suppose -2*u = 2*v + 4, -s*v - 4 = -3*v. Calculate the smallest common multiple of u and 14.
14
What is the common denominator of (2/60)/((-8)/(-20)) and -67/18?
36
Suppose 4*f - 4*r - 11554 = -6*r, -f - 5*r = -2911. Let m = f + -28813/10. What is the common denominator of ((-10)/(-88))/(2/68) and m?
110
Let o = 19/17 + -1141/306. Let w = -2 - -6. Calculate the common denominator of 250/(-18)*2/w and o.
18
Let q be 1086/3816 + (-2)/8. Let s = 8545/1113 - q. Find the common denominator of s and -59/8.
56
Let i(k) = -k**2 + 4*k - 5. Let a be i(4). Find the common denominator of (372/20)/((-3)/2) and (-194)/110 - 2/a.
55
Let y = 293/2 + -1153/8. Let t = 12827 + -282285/22. Calculate the common denominator of y and t.
88
Let t = 3221 + -25811/8. What is the common denominator of t and ((-592)/6)/4*(-2)/(-8)?
24
Let z = -7941/7 - -1140. Calculate the common denominator of 4/7 and z.
7
Let b(h) = 3*h + 4. Let y be b(-8). What is the lowest common multiple of 1 and (-156)/y - 2/(-10)?
8
Let o be (12 - 0)*8/(-12). What is the common denominator of ((-236)/(-54))/(o/12) and -23/8?
72
Let w = -175155/7 - -25071. Let l = w + -2423/42. Find the common denominator of l and 5/9.
18
Suppose 6*x - 8 = 2*x. What is the lowest common multiple of 7 and x/2*(0 + 2)?
14
Let s be (-2 - (-2 - -1))*-5. Let i = -687/22 - -129/11. Calculate the common denominator of i and (321/45)/((-6)/s).
18
Calculate the lowest common multiple of (-12)/(-16) + (-13)/(-4) and 4.
4
Suppose 4*u - 224 = 5*n, 2*n - 132 = 5*n - 3*u. Let p be -7*(n/14)/4. Let x(s) = s**2 - 4*s + 4. What is the lowest common multiple of 6 and x(p)?
48
Let k = -36112/11 + 3280. Calculate the common denominator of k and ((-285)/(-50) + -5)/(4/5).
88
Suppose -5*w + 124 = -41. What is the smallest common multiple of w and 21?
231
Suppose 3*m = 2*o - 48, 2*o - 7*o + 4*m + 106 = 0. Calculate the lowest common multiple of 15 and o.
90
Let h = -7485771540 + 441649806018/59. Let s = h - -181640. Let w = 1/118 - s. Calculate the common denominator of -5/6 and w.
6
Let m(x) = -2*x + 1. Let s be m(-1). Suppose 2*z - z = s. Find the common denominator of 3/14 + z/6 and -45/8.
56
Let g be 3 + (1 - (-3 - 2)). Suppose 0 = -i + 3*n - g - 12, -5*n - 65 = 5*i. Let j = 25 + i. What is the lowest common multiple of j and 4?
20
Suppose i - 4 = 0, -3*y - 5*i + 3*i + 59 = 0. Let g = 33 - 32. Calculate the lowest common multiple of 16 and y + (-1)/(g/1).
16
Suppose 2*w = 28 + 24. Find the common denominator of (w/(-5))/((-21)/(-35)) and -85/8.
24
Let r(c) = 3*c - 2. Let x be 6 + (-4)/6*3. Calculate the least common multiple of r(x) and 12.
60
Suppose 2*q + 0*k - 5*k - 13 = 0, -5*q + 7 = -4*k. What is the common denominator of (q - (-42)/(-8))/(-4) and -13/14?
112
Suppose 2*v - 15 = -3*v. Let o = 22521 + -405515/18. What is the common denominator of v/(-4)*13/9 and o?
36
Let h(u) be the second derivative of -u**4/12 + 4*u**3/3 + 4*u**2 + u. Calculate the smallest common multiple of h(8) and 14.
56
Let h be 4/14 - 8783/(-2947). Let a = -27117217/8302541 + h. Let j = a + -1005755/157768. Calculate the common denominator of j and 1/18.
72
Let b = 9 + -9. Suppose -42 = -5*m + m - j, b = -m - 2*j + 14. Calculate the lowest common multiple of m and 10.
10
What is the common denominator of (9/(-6))/(1/(-25)) and -19/20?
20
Let a(b) = b**2 + 6*b + 3. Let y be a(-5). Find the common denominator of ((-2)/((-16)/(-50)))/(-1) and ((-65)/(-32) + y)*70.
16
Calculate the common denominator of -1 + 6/(288/(-308)) and 49/12.
12
What is the lowest common multiple of -15*18/(-30)*10/6 and 25?
75
Let w(c) = c**3 - c**2 - c + 4. Let r be w(4). What is the common denominator of 2*(-3)/r*71 and 2/(-6) - (-1388)/240?
40
Suppose 4*s - 5 = -1, 0 = 3*y + 4*s - 340. Suppose g + y = 4*l - 3*g, 10 = -2*g. Let q = l - 13. Calculate the least common multiple of q and 11.
110
Let m(k) = 2*k**3 + k**2 - 2*k + 1. Let f be 12/8 - 1/2. Suppose -5*z + 23 + 27 = 0. Calculate the least common multiple of m(f) and z.
10
Calculate the lowest common multiple of 75 and (-2)/8 - 924/(-112).
600
Let n = 219 - 183. What is the lowest common multiple of 20 and n?
180
Let s = 41/196880 - 13405264167/1378160. Let v = 9721 + s. Calculate the common denominator of -1/6 and v.
42
Suppose 2*y - 22074 = 2*p, 2*y - p = 7755 + 14321. Let d be -2 + 0 + (-662079)/60. Let z = d + y. Find the common denominator of z and 87/22.
220
Let o be (-7010)/(-8) + 2/(-8). Suppose -4*d + 5*k - 1144 = 2333, -d - o = k. What is the common denominator of -10/3 and 2/6*d/(-24)?
24
Let a(b) = 11*b - 9. Let k(n) = 7*n - 6. Let i(d) = 5*a(d) - 8*k(d). What is the least common multiple of i(-3) and 6?
6
Let s = -1 + -3. What is the lowest common multiple of (-1 - s)*(-8)/(-12) and 22?
22
Let m = 15 + -4. Calculate the lowest common multiple of 10 and m.
110
Suppose 0 = -4*s + 8*s - 64. Calculate the lowest common multiple of s and 2.
16
Let t be (15 - 14)/(1/(-11)). Let p = t - -18. Calculate the least common multiple of 62/6 - (-2)/(-6) and p.
70
Let z = -52 + 27. Suppose -v + 16 = -4*b - 59, 2*v = -2*b - 30. Let x = b - z. What is the lowest common multiple of 4 and x?
28
Let w be (2 + 24/(-10))*-10. Suppose 0 = w*t - 51 - 117. What is the common denominator of (-381)/t - -1 - 0 and 117/10?
70
Let f = -57065/2964 + 2/741. Let n = -303 + 6077/20. What is the common denominator of f and n?
20
Let m be (4/8 - 1)*-6. Suppose 0 = m*o - 54 - 6. Calculate the smallest common multiple of o and 6.
60
What is the common denominator of 59/9 and 206/15 - (-30)/50?
9
Let v = 11 + -2. Suppose 93 = 4*g + v. What is the common denominator of ((-15)/(-14))/((-24)/g) and 9/20?
80
Let i be (1/(-8))/((-12)/55472). Suppose 2*t = 5*k - 1708 - 1066, 4*k = -5*t + 2239. Let p = i - k. Calculate the common denominator of p and -109/6.
6
Let z = -415/11 + 35. What is the common denominator of z and -87/8?
88
Suppose -4*a + 4*j = 20, 5*a - 6 = 4*j - 32. Let q = 8 + a. Calculate the common denominator of 12/5 and q*1 - 217/70.
10
Let w = -140 + 549/4. Let z = -8879/9 - -982. What is the common denominator of w and z?
36
What is the common denominator of -29/2 and 1*(238/12 + 9/18)?
6
Let g = 3539 - 42337/12. Let u = 38 - 19. Calculate the common denominator of u/(-16) - (-8)/8 and g.
48
Let j be -2 + (-1)/(-1 + 2). Let h = 8 + j. Calculate the lowest common multiple of h and 10.
10
Let p = -80/1932733 - -23863749551/7131784770. Let x = p - 14/205. Find the common denominator of ((-67)/(-8) - 0)*2 and x.
36
Let c(y) = -12*y - 2. Let b be (-4)/(-3) + 1/(-3). Let f be -1 + (b - (-2 + 4)). Calculate the lowest common multiple of c(f) and 12.
132
Let g = -509845/22 + 23170. What is the common denominator of 47/7 and g?
154
Let b = 1211 - -936. Let x be 3 + (-12979)/6 + -1. Let z = x + b. What is the common denominator of 54/11 and z?
66
Let f(g) = 6*g. Calculate the lowest common multiple of f(4) and 27.
216
Suppose -4*z + 26 - 2 = 0. Let v be 37/(-7) - z/(-21). What is the least common multiple of (-1*1)/(5/v) and 10?
10
Suppose 3*d + 2*v + 3*v = 30, 5*d - 50 = 5*v. What is the smallest common multiple of d and 6?
30
Let p be (-1)/((4/2)/(-10)). Let l = 7624 + -76131/10. Find the common denominator of l and (-1)/(6/14)*p.
30
Let w be (-17)/5 - (-2)/5. Find the common denominator of (-3)/w + (-108)/22 and 73/9.
99
Let s = -50419/10787 - 65930