5. What is the lowest common multiple of j(6) and 1?
1
Let h(n) = 3*n**2 - 10*n + 1. Suppose 1 = -4*g + 5. Calculate the least common multiple of h(4) and g.
9
Let u(v) = 6*v**2 - v - 6. What is the smallest common multiple of 30 and u(2)?
240
Let a = 7 + -4. Suppose -6*h + a*u + 96 = -h, -5*u = 4*h - 62. What is the smallest common multiple of h and 16?
144
Let q = -8965771/1101 - -68539976221/8398428. Let m = q - 2/5721. What is the common denominator of m and ((-1)/8)/((-4)/(-136))?
4
Let m(r) = r - 8. Let v be m(8). Suppose -n + 3*h + 11 = 0, -5*n + 3*h - 5*h + 4 = v. Calculate the lowest common multiple of n and 6.
6
Suppose 4*x + x = 0. Let d = x + 6. Calculate the least common multiple of 22 and d.
66
Let j = 90 + -53. Calculate the lowest common multiple of 8 and j.
296
Let z = 35 - 28. Suppose -t + 6*t = 50. What is the smallest common multiple of t and z?
70
Let u(h) = -h**2 - 14*h - 19. What is the least common multiple of u(-11) and 24?
168
Let n(v) = -2*v. Let q be n(-1). Let j(f) = 2*f**2 - 3*f + 2. Calculate the least common multiple of j(q) and 22.
44
Let y = -44 - -62. What is the lowest common multiple of 18 and y?
18
Suppose 6*b = 4*b + 16. Calculate the least common multiple of b and 22.
88
Let i(b) = -b**3 - 5*b**2 + 3. Calculate the lowest common multiple of 1/4 + 39/52 and i(-5).
3
Let s be 1 + -1 - 42845/(-8). Let g = s - 5363. Find the common denominator of g and -149/6.
24
Find the common denominator of 1/(-8)*6764/(-133) and (18/8)/(3/18).
14
Suppose 0 = 5*l - 234 - 221. Suppose -k - 45 = -2*n, 4*n + k = 4*k + l. Calculate the smallest common multiple of 2 and n.
22
Let f(i) = -i. Let p be f(-8). Let c = p + -6. What is the lowest common multiple of 5 and c?
10
Suppose 0 = -5*v + 4 + 21. Suppose 0 = v*c - 4*w - 9 - 71, 5*w = 5*c - 80. What is the least common multiple of (8/(-5))/((-1)/5) and c?
16
Let c be ((-1)/3)/(2/(-24)). Let j be 794/(-8) + c + -2. Let g = j + 94. Find the common denominator of -33/2 and g.
4
Find the common denominator of (-1)/2*(-126)/32 and -97/24.
96
Let w(s) = 4*s - 5. Find the common denominator of w(-11) and 71/9.
9
Let i = -20326 + 59608/3. Let k = i - -470. What is the common denominator of k and 51/7?
21
What is the common denominator of 19/18 and ((-83)/5)/(242/55)?
198
Suppose 0 = 3*w - 0*w + 3. Let o(v) = -11*v**3 + v. Calculate the lowest common multiple of o(w) and 32.
160
Let t = 46 + -42. Calculate the lowest common multiple of 10 and t.
20
Suppose 0 = 4*w - w - 9. Let y(v) = -v - 2. Let k be y(-4). Suppose 4*z + 0*f + 2 = 2*f, k*z + 4*f = 14. What is the smallest common multiple of w and z?
3
Let x be -3 + (-123)/(-9) - -2. Let n = x - 277/24. Calculate the common denominator of n and (-2)/6 - 38/21.
56
Suppose 16 + 4 = 4*c. Suppose 5*o + 5*x = -c, -3*o + 3*x = -3 - 12. What is the lowest common multiple of o and 8?
8
Let i = -23 - -27. What is the least common multiple of i and 4?
4
Let g(v) = -22*v**2 + 5*v + 3. Let a be ((-1)/(-3))/((-1)/3). Let n(m) = -m - 1. Let y(j) = a*g(j) - 4*n(j). Calculate the least common multiple of 10 and y(1).
110
Calculate the lowest common multiple of 15 and (12/5)/(14/105).
90
Suppose 0 = -4*p + p + 18. Calculate the smallest common multiple of p and 8.
24
Suppose -2*q + 16 = 2*y, 4*q - 12 = y - 0*y. Let a(p) = -1 - p**3 - 6*p**2 - 3*p + 4 - 2*p. What is the least common multiple of y and a(-5)?
12
Let n = -18 + 26. What is the smallest common multiple of n and 5?
40
Let j = 7931/640 + 1/128. Find the common denominator of -58/7 and j.
35
Let t = -5/1112 - -82363/16680. What is the common denominator of t and 56/9?
45
Let l = 49 + -31. What is the lowest common multiple of l and 15?
90
Let d be -1 + 0/2 + 0. Let u = 73323/10 - 7341. Calculate the common denominator of u and 34 + ((-3)/(-6))/d.
10
Let r be (-352)/(-28) + 6/14. Let h = -9 - -13. Suppose l + l - r = 3*m, -30 = -h*l + 2*m. What is the smallest common multiple of l and 20?
40
Suppose 3*c + 5*a = 52, -6*a + 5 = -5*a. Calculate the least common multiple of 9 and c.
9
Let b(d) = 1600*d**3 - d - 1. Let r be b(-1). Let v = -50280 - -97439/2. Let u = v - r. Find the common denominator of -29/18 and u.
18
Suppose -h = -p + 11, 0*p + 5*h - 8 = -2*p. Let g = 12 - 4. Calculate the least common multiple of p and g.
72
Suppose 0 = -5*x + 4*x - 2. Let c(d) = 3*d**2 + 4*d + 2. Let p = 6 - -4. Calculate the lowest common multiple of p and c(x).
30
Calculate the least common multiple of 1 + 16 - (-1)/1 and 4/(-18) - 654/(-27).
72
Let t = -2488/37 - -110083/1554. Find the common denominator of -95/4 and t.
84
Let p = 6744/5 + -1342. Let n(h) = -h**3 + 5*h**2 + h + 5. Calculate the common denominator of p and n(6).
5
Let z be 4 - (-3 + 0/3). Suppose -4 = -5*y - 3*n, z*y - 18 = 2*y + 4*n. Calculate the lowest common multiple of 8 and y.
8
Suppose 5*s + 2049 = 2*f, -2*f + 83 = -3*s - 1964. Let v = -5091/5 + f. Calculate the common denominator of v and -2 + 9/(-10) + -2.
10
Let p = -110170/33 - -3338. Find the common denominator of -79/15 and p.
165
Let p(u) = -4*u + 3. Let o be p(4). Let a = 22 + o. Calculate the least common multiple of 6 and a.
18
Let j(f) = -2*f + 2. Let r be j(2). Find the common denominator of 151/12 and (r/(-60))/((-4)/54).
60
Suppose 4*h - 3*o = 95, -2*h - 4*o + 53 + 11 = 0. Calculate the lowest common multiple of h and 22.
286
Let q(p) = -1116*p**2 - 1. Let b be q(1). Let z = b - -10036/9. What is the common denominator of z and -49/6?
18
Let l = 2273/2 + -1160. Calculate the common denominator of l and 7/5.
10
Let w be (-1)/((-27)/15 - -2). Calculate the common denominator of (w - -3) + (-61)/(-2) and -61/6.
6
Suppose j - 3*j - 21 = 5*h, 4*j - 5*h - 33 = 0. Suppose j*b = b. Suppose b*l + 8 = l. Calculate the lowest common multiple of 5 and l.
40
Let b(h) = h**2 + h - 1. Let d be b(-3). Suppose 4*r - d*y + 4*y - 75 = 0, -3*r - 3*y + 75 = 0. What is the lowest common multiple of r and 16?
80
Let q(z) = -z**2 - 21*z + 43. Calculate the smallest common multiple of q(-21) and 3.
129
Let t be 4/(-22) - (-20)/(-11). Let k = t - -3. What is the smallest common multiple of 9 + 1 + -2 + k and 9?
9
Suppose -a + 20 = 4*a. Suppose 0*f = -a*f + 56. What is the smallest common multiple of f and 22?
154
Let p = -30 - -34. Suppose -5 = -4*a + 3. What is the smallest common multiple of a and p?
4
Suppose -3*h - 2 = -26. What is the smallest common multiple of h and (12*-1)/((-12)/16)?
16
Let y = 10518/155 - -54/31. Let i = 327/5 - y. Calculate the common denominator of i and (57/60)/((-4)/30).
40
Let w = -152251/10 + 15213. Let l = 2807/5 - 571. Find the common denominator of w and l.
10
Let o(l) = -l**2 - 6*l - 7. Suppose -2*q = 2*y - 6*y - 12, 3*q - 38 = -4*y. Calculate the least common multiple of q and o(-3).
10
What is the smallest common multiple of ((-16)/14)/(7/(-49)) and 29?
232
Suppose -i - 2*g + 24 = -3*i, 2*i + 5*g - 11 = 0. Let k = -10 - i. Calculate the common denominator of 19/10 and k/(-15)*(-525)/6.
10
Suppose -2*g - 3*g + 100 = 0. Suppose r + 0 = -4. Let k = 14 + r. What is the least common multiple of k and g?
20
What is the least common multiple of 2/4 + 258/12 and 8?
88
Let c = -56 + 78. Let z(n) = 58*n**3 + 2*n - 1. Let p be z(1). Suppose -r = u - 13, -5*r + 3*u + p = -30. What is the least common multiple of c and r?
176
Let b = 2987/220 + 37/55. What is the common denominator of b and -18/7?
28
Suppose 22 = 9*i - 14. Let n(c) = 4*c**2 - 2*c + 1. What is the lowest common multiple of i and n(1)?
12
Let o = 1096 + -31789/29. Let f = -1179/58 + o. Find the common denominator of -49/22 and f.
22
Suppose 0 = 2*w + 7 + 53. Calculate the common denominator of 29/20 and 109/w - (-1)/3.
20
Let t(l) = 5*l**3 + 5*l**2 + 2. Let i(a) = 6*a**3 + 6*a**2 + a + 3. Let m(n) = 4*i(n) - 5*t(n). What is the common denominator of m(-4) and (2/(-12))/(4/606)?
4
Suppose 1 = -3*m + 61. Suppose 0 = 4*r - 2*r - 4*l - 32, 3*r = -4*l + 8. What is the lowest common multiple of r and m?
40
Calculate the smallest common multiple of (-4)/(-22) + 258/33 + -1 and 10.
70
Let f(z) = z**2 + 7*z + 4. Let o be f(-6). Let r be 13036/14 + o/(-7). Let m = -929 + r. What is the common denominator of m and 6/7?
7
Let b(k) = 8*k**3. Let r = 0 + 1. Suppose 0*f - r = f - y, -5 = -y. What is the lowest common mu