12)/10)/((-2)/15) and l(-2).
99
Let h(a) = -a**3 + a**2 + 4*a + 1. Let i be h(-3). Suppose -7*j = -2*j - i. What is the common denominator of -1/3 and 60/22 - (-5)/j?
33
What is the common denominator of -21/11 and 356/375 - (-112)/(-140)?
4125
Let f be (-70922)/120 - 2*(-6)/(-4). Let b = f + 3003/5. Calculate the common denominator of 61/12 and b.
12
Let t = 6 - 8. Let z(p) = -3*p - 3. Calculate the smallest common multiple of z(t) and 15.
15
Suppose 4*z + 2*x - 175 - 449 = 0, 0 = z + x - 154. Calculate the least common multiple of 2 and z.
158
Suppose -27*m = -23*m - 16. What is the least common multiple of m and 4?
4
Let s = 22721 + -114211/5. Let v = s + 4037/35. Calculate the common denominator of 6 and v.
7
Let l(k) = 2 - 9*k - k**3 + 2*k**3 - 2*k**3 - 9*k**2. Let a = -110 + 102. What is the least common multiple of 5 and l(a)?
10
Let i(f) be the second derivative of f**3/3 - 7*f**2/2 - 5*f. Let g be i(3). Find the common denominator of 1/g - 109/6 and -77/4.
12
Suppose 0*b = -5*b + 15, 2*h + 12 = 4*b. Suppose -8*m + 55 + 33 = h. Let u = 3 + 6. Calculate the least common multiple of m and u.
99
Let k = -87 - -143. What is the least common multiple of k and 35?
280
What is the common denominator of (-6)/(-32)*1144/(-234) and -1*(-1)/(-4)*-94?
12
Let y be 1*(-1 + -1)/(8/(-284)). Suppose -161 = -5*j - y. Calculate the lowest common multiple of j and 8.
72
Let a(m) = 6*m - 5. Let u(g) = -g. Let t(w) = -a(w) - 5*u(w). What is the lowest common multiple of t(-1) and 14?
42
Let n be ((-30)/25)/((-2)/(-5)). Let q be -1 + (-2 - n - 0). Calculate the least common multiple of (-1 - q) + 0 + 9 and 6.
24
Let y = 184 - 168. Suppose -2*n = -j - 3, 2*j - 9 = n - 2*j. Calculate the least common multiple of y and n.
48
Let r = -685/2021 - 789675401/6063. Let f = r + 131454. Let n = f + -1226. Calculate the common denominator of -26/7 and n.
21
Let o = -353/8 - -91/2. What is the common denominator of 61/20 and o?
40
Let q(d) = -d + 13. Let j be q(5). Find the common denominator of -4 + 30/j + (-22)/12 and 77/15.
60
Find the common denominator of (78/2457)/((-4)/(-34) - 0) and -19/42.
126
Let q(d) = -3*d**2 + 15*d - 27. Let t be q(12). Let m = t + 2251/8. Find the common denominator of m and -113/12.
24
Suppose -124 = -t - 142. Find the common denominator of t and 36/7.
7
Suppose -14*o - o + 150 = 0. Let f(i) = -i**3 - i**2 - i - 3. Let q be f(0). Let p = 7 + q. What is the smallest common multiple of o and p?
20
Let l be 571034/(-72) + -1 + 10/30. Let u = l - -7933. What is the common denominator of u and 139/18?
36
Suppose 19 + 15 = -2*m. Let q = -8 - m. Let c = -2 - -3. Calculate the lowest common multiple of q and c.
9
Let f = -5/18 - -1/2. Let g be (5 - 3005/(-15)) + (-2)/(-2). Let r = -188 + g. Find the common denominator of f and r.
9
Let q be (-648)/156 + (-2)/(-13) - -4. Calculate the smallest common multiple of 21 and (-6)/(-4 - (-52)/14 - q).
21
Suppose -3*a + 171 = 3*h, -3*a - 17 + 5 = 0. Suppose -y = y + 5*q - h, -y + 30 = 3*q. What is the lowest common multiple of y and 12?
132
Suppose 0 = -3*j + 4*j + 5, 2*j + 6 = a. Find the common denominator of a/26 - 1515/546 and -77/6.
42
Let a(y) = -4*y. Let g be a(-1). Suppose -3*r - g*i + 75 = -i, 2*r = -3*i + 45. Calculate the least common multiple of r and 27.
270
Let r be (-370)/(-20)*8/(-10). Let g = r - -269/30. Let q = -169/23 + 4859/414. Calculate the common denominator of g and q.
18
Let c = 2923 - 2485. What is the lowest common multiple of 24 and c?
1752
Let a be (1 + 1/(-5))/((-2)/(-5)). Suppose a*u = 12*u - 50. Calculate the least common multiple of 11 and u.
55
Let d = -2333/2 - -1144. Suppose -4*b - 242 = -0*n + 2*n, 0 = 3*n - 3. Let s = -877/14 - b. What is the common denominator of s and d?
14
Suppose 2*q + 80 = 5*a, 0 = -5*a + q - 0*q + 85. What is the least common multiple of a and 21?
126
Suppose -2*d + 2 + 24 = -4*f, -2*f = -5*d + 97. Let n(h) = h**3 - h + 27. What is the smallest common multiple of n(0) and d?
189
Let p(f) = -3*f - 4*f + 12*f. What is the smallest common multiple of -1 + 2 + -1 - -6 and p(1)?
30
Calculate the smallest common multiple of 162 and (-46 + -26)/(6/(-4)).
1296
Suppose -3*x = 5*r - 2*r, -3*r = -x - 16. Suppose -a = -r - 4. Suppose 111*d = 6*d + 18*d + 522. Calculate the lowest common multiple of a and d.
24
Suppose -2*o = 4*y - 2, 0 = -4*o + 4*y - 0*y + 16. Suppose -h + 5*q = -29, -3*q + 145 = 2*h + 3*h. Let j = h - 23. What is the least common multiple of o and j?
6
Suppose 0 = b - 2, 3*p + 4*b = -13. Let k be p/(-28) - 609683/(-84). Let q = 7255 - k. Calculate the common denominator of 25/6 and q.
42
Let w = -104 - -105. Let j = -5 - -20. Calculate the least common multiple of w and j.
15
Suppose 0*c - 87 = -j + 3*c, -j - c = -107. Calculate the lowest common multiple of 187 and j.
1122
Let y = 16 - 16. Suppose 6 = -2*u, 5*q + u + y + 3 = 0. Suppose -15 = -5*h + 5*d - q, 0 = -4*d + 20. What is the least common multiple of h and 10?
40
Let x = 62/19 - 949/285. Find the common denominator of 59/399 and x.
1995
Calculate the common denominator of 4 + ((-876)/(-45))/(-4) and (-377)/(-90) + (-41)/(-205).
90
Let m(y) = y**2 + y + 1. Let d(b) = -2*b**2 + 7*b + 11. Let z(g) = -d(g) - 3*m(g). Calculate the smallest common multiple of 23 and z(-6).
230
Let s be (-52)/(-10)*(-55)/(-22). Suppose s*w = 5*w + 288. Calculate the least common multiple of 6 and w.
36
Let v(f) = -6*f + 25. Let r be v(-4). Let d = 57 - r. What is the lowest common multiple of d and 14?
56
Suppose -9*q + 103 = -545. What is the least common multiple of q and 36?
72
Suppose -5*n + 4*p = -8*n + 13, 4*p = 4*n - 8. Suppose -4*t + 72 = -0*t. What is the lowest common multiple of n and t?
18
Let i be 1 - (-2)/(9108/(-5675)). Let y = -1386890/1771 - -5482/7. Let j = i - y. Calculate the common denominator of j and -19/20.
180
Suppose -6*u + 10*u + 68 = 4*l, 46 = 2*l + 2*u. What is the least common multiple of 14 and l?
140
Let j = -541 - -547. What is the smallest common multiple of 18/(-4)*(-1 - 1) and j?
18
Suppose 2*a = 3*a - 756. Let o = 15117/20 - a. What is the common denominator of -5/8 and o?
40
Suppose 8*j + 40 - 232 = 0. Suppose 4*f = m + 26 + 60, -2*f - 3*m = -36. What is the smallest common multiple of f and j?
168
Let s = -19 + 26. Suppose -3*u - 41 = 2*v - s*v, 3*v - 4*u - 18 = 0. Suppose 2*t + 4*z - 61 = -z, 4*z - 38 = -t. What is the least common multiple of t and v?
90
Let s = -19011 + 342065/18. What is the common denominator of (-2)/6 + 1467/(-378) and s?
126
Let s = 825 + -29699/36. Calculate the common denominator of -23/24 and s.
72
Calculate the common denominator of (-3)/2 + 223/70 and 11/10.
70
Let s = -4 + 8. Suppose j = -2*n + 7, j - 10 = -3*n - 3. What is the smallest common multiple of j and s?
28
Let p(n) = -n**2 - 5*n + 5. Let q(u) = -u**2 - 6*u + 6. Let s(z) = -5*p(z) + 4*q(z). Let v = 195 - 189. What is the smallest common multiple of v and s(1)?
6
Let l = 5297/27192 - 1/618. What is the common denominator of l and -63/64?
704
Let g(z) = 4*z + 9 - 2*z - z. Let w be g(-4). Suppose 0 = w*b - 18 - 7, -q + b = -3. Calculate the lowest common multiple of q and 20.
40
Let f(g) = -20*g**2 - 32 + 2*g**3 + 4*g - 18 - g**3. What is the smallest common multiple of 18 and f(20)?
90
Let p(g) = g**2 + 4*g - 26. Let f = 14 - 10. Calculate the lowest common multiple of f and p(4).
12
Calculate the least common multiple of 27 and ((-15)/(90/132))/(2/(-3)).
297
Let w = -5/802 + 13060/4411. What is the common denominator of w and (-59)/(-7) + 4/(-14)?
154
Let k = 385 - 8086153/21003. Let u be -6 - (1 - -1 - (-54398170)/(-4200600)). Let l = u - k. What is the common denominator of l and -31/18?
180
Let w(y) = y**3 - 9*y**2 + 20*y + 8. Calculate the least common multiple of 16 and w(8).
208
Let b = 6523 - 52111/8. Calculate the common denominator of -70/9 and b.
72
Suppose 3*g - 30*z + 31*z = 65, -111 = -5*g + z. Let x(f) = f - 3. What is the smallest common multiple of g and x(7)?
44
Let g = 980 - 978. What is the least common multiple of g and 2?
2
Let c = 163/10 + 101/5. Calculate the common denominator of c and 8/10 - (-3)/12*0.
10
Let x be 1/(0 + (-2)/(-8)). Suppose -x*y - 2*a - 3*a = 0, -16 = 4*a. Calculate the lowest common multiple of 22 and y.
110
Suppose 2*g = -0 - 2,