e of 4 and (18/y)/(30/100)?
12
Suppose -2*m + b - 2*b + 66 = 0, -132 = -4*m - 4*b. What is the smallest common multiple of m and 24?
264
What is the common denominator of (-2457)/(-360) + 12/15 and 57/2?
8
Let t(q) = 3*q - 61. Let j(f) = f**3 - 7*f**2 + f + 7. Calculate the least common multiple of j(7) and t(25).
14
Let p(s) = 9*s**3 - 3*s**2 - 2*s + 7. What is the least common multiple of p(2) and 18?
126
Let m = -31129/12 + 2596. Find the common denominator of -43/36 and m.
36
Let k = -218305/12 - -18203. Calculate the common denominator of k and 91/22.
132
Let l = 7 - 11. Let k be -2*4*l/6. Let i = k + 53/12. Find the common denominator of i and 13/24.
24
Let d(l) = 9*l - 8. What is the smallest common multiple of 5 and d(2)?
10
Find the common denominator of (1 + (-185)/2)*1/9 and 115/12.
12
Let a(c) = -2*c + 1. Let x be a(1). Let h(i) = -7*i - 1. What is the smallest common multiple of h(x) and 14?
42
Let m(k) = 11*k - 2. Let p be m(2). Suppose r - 5*s = -s - 17, p = 4*s. What is the least common multiple of r and 2?
6
Let f = 14 - 8. Suppose -3*s = o - f*o - 13, -2*s + 3*o + 10 = 0. Calculate the lowest common multiple of 6 and s.
66
What is the common denominator of (-13)/7*(-30)/(-12) and 13/2?
14
Calculate the common denominator of 4/1 + (-50)/4 and 85/8.
8
Let u(k) = k + 2. Suppose -2*f + 4 = -2. Let s be u(f). Suppose 75 = s*q - h - 27, 70 = 4*q + 5*h. What is the lowest common multiple of q and 22?
220
Let o(f) = f**2 - f. Suppose 5*w - 12 = -y, 4*w - 1 = -y + 11. Calculate the lowest common multiple of o(-1) and y.
12
Let m = 15 + -17. What is the common denominator of (m - 724/(-8))/(-30) and 63/8?
40
Let n(m) = -m**2 + 6*m - 1. Let c be n(5). What is the common denominator of (46/c)/(1/3) and (-1446)/(-56) + (-48)/84?
4
Suppose -2 = 2*p + i + i, -5*p + 2*i = -16. Suppose 0 = -p*v + 3 + 7. Calculate the lowest common multiple of v and 6.
30
Let z = 9 + -5. Suppose 0 = -4*f - 4 + 20. What is the least common multiple of 8 and (z/6)/(f/30)?
40
Suppose o + 1 = 6. Suppose 0*f + 131 = 2*w + f, 0 = -o*w - 4*f + 326. What is the common denominator of 121/18 and 2 - 21/w*1?
198
Let g = -4001 + 40049/10. Find the common denominator of g and ((-4)/(-2))/((-12)/(-34)).
30
Let b(y) = -769*y**3 + 2*y**2 + 3*y - 2. Let k be b(-3). Let g = k + -373979/18. What is the common denominator of 23/8 and g?
72
Let y = 18/31 + 1359/62. Calculate the common denominator of y and (-34)/6*(-3)/2.
2
Let a(v) = -14*v**3 - v**2 - v. Suppose 3*t - 1 = 2*o, 0*o - o - 7 = 5*t. What is the least common multiple of 4 and a(t)?
28
Suppose -2*f + 1 = -4*g + 9, -f + 8 = 2*g. Suppose -x = x - 3*u - 29, 1 = -f*x - 3*u. Calculate the lowest common multiple of x and 2.
14
Suppose -2*l + 36 = l. Suppose -10*p + 5*p + 70 = 0. What is the smallest common multiple of l and p?
84
Suppose 4*p = -p + 40. What is the least common multiple of 6 and p?
24
Let t be (-12 - 2)/((-1)/3). Suppose z - t = 2*m - 9, -2*z = -2. Calculate the common denominator of 73/2 and 15/22*m/(-12).
22
Let s = -8 - -11. Suppose s*g = -5*x - 3473, -3*g + 691 = x - 2*x. Let m = x + 6175/9. What is the common denominator of 29/9 and m?
9
Suppose 5*y - 3*j + 2 = 0, 2*j + j + 4 = -y. What is the common denominator of -93/4 and 2 + y*(-171)/66?
44
Let l = 81 + -61. Calculate the smallest common multiple of l and 28.
140
Suppose -2*k + 12 = -0. Let u(w) = -w**2 + 7*w - 1. Let j be u(6). Suppose -n = j, 5*t - 5*n - 25 = -8*n. What is the lowest common multiple of k and t?
24
Let q(p) = -9*p**3 + 23*p**2 - p - 13. Let u(h) = 4*h**3 - 11*h**2 + h + 6. Let m(d) = -3*q(d) - 7*u(d). Calculate the least common multiple of m(7) and 10.
90
Let v = -96038009/16 - -5996484. Let m = v + 5887. Calculate the common denominator of m and 31/10.
80
Suppose 0*l - 14*l + 140 = 0. What is the lowest common multiple of 7 and l?
70
Calculate the common denominator of (13/(-39))/((-40)/222) and 33/16.
80
Let g be 3/2*(-110)/(-15). Calculate the common denominator of g/(-7)*(-7)/6 and 2*((-483)/(-36))/(-7).
6
Let v = 19 + -17. What is the least common multiple of 4 and v?
4
Let b be 6/15 - 58/(-5). Find the common denominator of 1 + (3 - 206/b) and -13/9.
18
Calculate the common denominator of ((-58)/(-8))/((-6)/8) and -29/8.
24
Find the common denominator of -1 + 0 - (-150)/(-24) and -55/7.
28
Let y(b) = 4*b**3 + b**2 - 1. Let z = -44 + 54. What is the lowest common multiple of z and y(1)?
20
Let j(g) = 5*g - 21. What is the smallest common multiple of 12 and j(7)?
84
Find the common denominator of -7/9 and (-10)/(-25) - (-149)/15.
9
Let u = 34 - 329/6. Calculate the common denominator of u and -133/18.
18
Let h(p) = -p**3 + 6*p**2 - 5*p - 4. Let w = 6 - 2. What is the smallest common multiple of 16 and h(w)?
16
Let b = 55 + -29. Calculate the lowest common multiple of 12 and b.
156
Let x = -4433/9 - -494. Calculate the common denominator of x and -69/10.
90
Suppose 24 = 3*b - 5*a, 18 = -4*b - a + 50. What is the smallest common multiple of 8 and b?
8
Let u(m) = 2*m - 14. Let a be u(7). Suppose 4*f + a*q = -3*q + 81, -4*q + 12 = 0. Calculate the lowest common multiple of 8 and f.
72
Let m = 1390044 - 27820009/20. Let f = m - -952. Find the common denominator of 149/12 and f.
60
Calculate the common denominator of ((-5)/(-25) + 158/(-640))*-84 and -39/16.
16
Let i(x) = -x**3 + 3*x + 5 + 5*x**2 - x + 6*x - 3*x. Let g be i(5). Calculate the common denominator of (8/(-6))/(11/g) and 53/6.
66
Suppose -4*r + 38 = -3*p, 49 = 3*r + 2*r - 3*p. Calculate the lowest common multiple of 6 and r.
66
Suppose -2*s + 5*n + 28 = 0, 0*s + 108 = 5*s - 3*n. What is the smallest common multiple of s and 14?
168
Suppose -2*h = -4*h - 2. Let n(f) = -f**3 - 7*f**2 - 2*f + 1. Let j be n(-7). What is the common denominator of -37/4 and (-26)/j + h/(-3)?
20
Suppose a + 4*y = -7, 3*a + 7 = -0*a - 5*y. What is the least common multiple of 5 and a?
5
Let n = -5 + 10. Suppose -2*c - n = u - 5*c, 0 = 5*u + 4*c + 82. Calculate the common denominator of -5/2 and 1130/112 - 4/u.
8
Suppose -3*h - 23 = 4. Calculate the common denominator of ((-87)/h - -2) + 0 and -27/7.
21
Suppose -4*o = -4*p - 6 - 18, -2*o = -3*p - 17. Let d be 0 - -1 - (-1 - -2). Let c = d + 1. What is the least common multiple of c and o?
1
Suppose -2 - 1 = -r. Let m be ((-2)/r)/(8/(-36)). Let k = -1 + m. What is the smallest common multiple of k and 8?
8
Suppose -5 = -3*n + 25. Calculate the lowest common multiple of n and 2.
10
Suppose -2*f - 226 = -2*j, 479 = -5*f + f - 5*j. What is the common denominator of -23/12 and f/(-16) + -4 - -3?
12
Suppose 4*p + 192 = -0*p. Find the common denominator of (3/4)/(p/(-392)) and 123/10.
40
Suppose 3*b - 2 + 29 = 0. Let m be 12/b*30/(-2). Suppose 0*d + d + 11 = -5*l, -5*l - m = 0. What is the smallest common multiple of d and 1?
9
Let s be 0/1*8/16. Suppose 4*a - 2*f = 2 + 12, -2*f + 2 = s. Let b = -46 + 68. What is the lowest common multiple of a and b?
44
Suppose 0 = 11*g - 5*g - 120. What is the smallest common multiple of 36 and g?
180
Let p(s) = -s**2 - 6*s - 4. Suppose -3*n - 14 - 10 = 3*j, -3*j + 4*n + 4 = 0. Suppose 0 = 5*a - a - 72. Calculate the smallest common multiple of a and p(j).
36
Let q = 13 + -1. Suppose 2*c - q = 4. Calculate the least common multiple of 11 and c.
88
Suppose -5*n + 14 = 3*m, -3*n = -4*m - 7*n + 16. Let v = -1 + 12. Calculate the smallest common multiple of v and m.
33
Let i(t) = -t - 1. Let z(k) be the second derivative of k**4/12 + k**3/2 - k**2 + 2*k. Let q be z(-3). What is the smallest common multiple of 9 and i(q)?
9
Calculate the common denominator of 131/24 and (33/(-7))/(96/63).
96
Let i(z) = -2*z**2 - z. Let r be i(3). Let t be (1 - 2)*(-2 - 1). Calculate the common denominator of (-1 - 23/r)*t and 10/11.
77
Suppose -7*r + 81 = -31. Calculate the smallest common multiple of r and 4.
16
Let z = 115 + -465. Find the common denominator of (406/z)/((-8)/(-10)) and 87/22.
220
Suppose -2*a + 42 = a. What is the smallest common multiple of 60 and a?
420
Let k = -13 + 25. What is the smallest common multiple of 18 and k?
36
Suppose -4*d - 4*s = -21 + 5, 3*d - s - 16 = 0. Suppose -2*r - 58 = -d*r - n, 4 = -2*n. What is the least common multiple of r and 18?
180
Let a be ((-8686)/5)/(7/(-5)). Suppose 1166 + 1304 = -2*k