ple of 22/(-143) + (1416/(-39))/(-2) and q.
18
Let x(q) = 8*q - 3*q - q. Let v be x(8). Suppose 3*n + 0*n = -5*y + v, -3*y = -n - 22. Calculate the least common multiple of 6 and y.
42
Let v(a) = 24*a - 2. Let y = -1/3592 + 271199/10776. Calculate the common denominator of v(2) and y.
6
Let p = -1057 + 1666. Find the common denominator of -41/14 and ((-1)/20)/((-7)/p).
140
Let k(t) = -t**3 + 16*t**2 + 17*t + 3. Calculate the smallest common multiple of k(17) and 5.
15
Let g = -17 + 5. Let w = -6 - g. Suppose -k = f - 12, -4 - 24 = -4*k + f. What is the least common multiple of w and k?
24
Let o = 11 - -1. Calculate the least common multiple of 10 and o.
60
Suppose 3*q + 2 = 2*q. Let n be (3/((-135)/q))/(-5). Let i = n - -16453/3150. Find the common denominator of i and -55/6.
42
Suppose 3*n + 32 = 4*l - 7, -3*l + n = -23. Let v(f) be the third derivative of f**5/60 - 5*f**4/24 + f**2. What is the lowest common multiple of 12 and v(l)?
12
Let t = -11 + 15. What is the common denominator of (-1118)/91*(-1)/t and 31/20?
140
What is the lowest common multiple of (3 - 68/12)*(-186)/8 and 16?
496
Let b = -3/53 + -1051/159. Let p(d) = -d**2 + d + 6. Let t be p(6). Calculate the common denominator of b and ((-1)/(-14))/(1/t).
21
Suppose 2*x = 5*o - 28, o + 1 = 3. What is the smallest common multiple of 9 and (3/x + 1)*9?
18
Let j = 1729 + -13909/8. What is the common denominator of j and 1/20?
40
Let v(p) = 2*p**2 - p. Let a be v(-2). Let c be (4/(-5))/((-4)/a). Suppose -1 = c*x + 3*d - 3, d - 2 = -2*x. Calculate the lowest common multiple of 3 and x.
3
Let y(g) = 2*g + 4. Let c be y(5). Suppose 37 = 4*o - 5*x, 2*o - c = x - 3. What is the lowest common multiple of (-8)/(-12) + 1/o and 8?
8
Let d(w) = 3*w**2 + 7*w - 2. Calculate the smallest common multiple of d(-4) and 6.
18
Let y be (-17)/(-4) + 4/(-16). Suppose -i + 4*o = -0*i + 6, -y*i = 3*o - 14. What is the smallest common multiple of 10 and i?
10
Suppose 4*b = g + 27, 27 = -0*b + 2*b - 5*g. Let z(x) = x**3 + 9*x**2 - x - 3. Suppose v + 3 = -6. Calculate the smallest common multiple of b and z(v).
6
Let q = 11 + -8. Calculate the lowest common multiple of q and 4.
12
Let a(r) = r**2 + 4*r - 1. What is the lowest common multiple of a(-5) and 58?
116
Let l = 19 + -10. Let u(i) = -i**2 + 8*i + 11. Calculate the smallest common multiple of u(l) and 9.
18
Suppose 10*q - 190 = 5*q. What is the smallest common multiple of 22 and q?
418
Let v be 6565/(-1050) + (-4)/(-14). Let j = 67/240 + v. Find the common denominator of j and -69/4.
16
Calculate the common denominator of 154/(-10)*10/20 and 56/5.
10
Let k = 131/63 - 11/9. Let g = -23/31 + 764/403. Calculate the common denominator of k and g.
91
Let z(d) = 2*d**3 + 5*d**2 - 2*d + 4. Let x be z(-4). Suppose -k - 4*k = 25, 0 = 2*s - 2*k - 46. Calculate the smallest common multiple of s and 2/(-4*1)*x.
18
Let i(l) = 146*l - 11. Let w be i(9). Let a = w + -10359/8. What is the common denominator of a and 35/16?
16
Let q(v) = v**3 + 5*v**2 - 9*v - 4. What is the lowest common multiple of q(-6) and -1 - -12*(18/(-8) + 4)?
140
Let t = 25 - 15. What is the smallest common multiple of 22 and t?
110
Suppose -2*y - 15 = 3*y - 3*s, 2*y + 25 = 5*s. Suppose y = 2*m - 4 - 0. Suppose 0 = a - 8 - m. What is the least common multiple of 5 and a?
10
Let i be 50006/16 - 2/4. Let l = i - 3119. What is the common denominator of -77/8 and l?
8
Suppose -2*b - 1 = -5. What is the smallest common multiple of b and 1?
2
Suppose 7*q = -3*t + 3*q + 22, 2*t - 17 = -5*q. Suppose 5*d + 0 = -g + 28, 4*g + 14 = d. What is the least common multiple of d and t?
6
Suppose a - 2*n = 6*a - 40, 32 = 4*a + 3*n. What is the smallest common multiple of a and 30?
120
Let m(q) = -47*q**3 - 2*q**2 + q. Suppose -20 = 4*f, -20 = 5*p - 0*f + 5*f. Find the common denominator of -7/10 and m(p).
10
Let b(l) = -l. Let a be b(-6). Let y = 2624/77 - 208/7. What is the common denominator of (-870)/72 - 4/a and y?
44
Let t(i) = i - 1. Let f(r) = r**3 - 9*r**2 + 3*r - 10. Let z be f(9). Suppose -3*c + 4*j = -z, c + j = -c + 15. What is the least common multiple of t(3) and c?
14
Let c be 65/10 - 1/2. Suppose 4*w = w + c. Let i = 3 + w. Calculate the smallest common multiple of i and 3.
15
Suppose -22 = -6*g - 202. Let y be 2/4*(39 + -3). Find the common denominator of -63/16 and y/g + 137/(-80).
16
Suppose 19 - 1 = 3*n. Let x be (10/8)/((-1)/(-16)). Let r = x + -9. What is the smallest common multiple of r and n?
66
Find the common denominator of -13/10 and (-3)/(-3) + (-90)/(-44).
110
Let f(z) = -z**2 - 7*z. What is the smallest common multiple of f(-5) and (-1)/(-1 + 0) - (0 + -1)?
10
Let c(p) = -p**3 - 4*p**2 + p - 5. Let m be c(-5). What is the common denominator of 89/16 and m/(-10)*97/3?
16
Suppose 3 = 3*c - 4*g + 6*g, 3*c - 4*g = 21. Suppose -2 = 2*s - c*s. Calculate the smallest common multiple of 10 and s.
10
Suppose -4*h = 3 - 23. Calculate the smallest common multiple of h and -1 - (1 + 27/(-3)).
35
Let l = 62 + -1489/24. What is the common denominator of l and 67/15?
120
Let k be (4/(-8))/((-2)/8). Suppose -k = -p - 1. What is the common denominator of 1/22 and 238/36*p + 0?
198
Let z = -2196 - -3440. Let a = z - 2411/2. Find the common denominator of a and -119/6.
6
Let k(s) = s**2 + 2*s + 1. Suppose n + 17 = -4*m, 0 = -4*m - n + 6*n + 13. What is the least common multiple of 14 and k(m)?
28
Let k(c) = c**3 - 7*c**2 + 2*c - 10. Let t be k(7). Let s(q) = 2*q + 2. Let j be s(-2). Let h = j + t. Calculate the lowest common multiple of 6 and h.
6
Let q = 77 - 69. Calculate the smallest common multiple of 3 and q.
24
Let y = -26682745/54 - -494105. Let x = y + -70/27. Calculate the common denominator of x and -93/4.
4
Let b = -9/481 + 47925/16354. Calculate the common denominator of 65/18 and b.
306
Let v = -3219 - -45103/14. Let i = -3/14 + v. Find the common denominator of -99/2 and i.
14
Suppose 0 = -7*q + 2*q + 10. Suppose 0 = c - q - 1. Calculate the lowest common multiple of (-78)/(-9) - (-7)/21 and c.
9
Suppose 2*v = -0*v + 4. Suppose -v*k - 3*k = -10. What is the least common multiple of k and 4?
4
Calculate the common denominator of 50/7 and 1 + 1 + (-1065)/90.
42
Suppose -4*a + 2 = -3*w, -w - 2*a + 12 = -4. Let s(d) = 5*d. Calculate the lowest common multiple of w and s(1).
30
Suppose -21 + 81 = 3*q. What is the smallest common multiple of q and 20?
20
Suppose -4*o - 4*y = 4, 2*o + y + 9 = 3*o. What is the common denominator of 30/7 and (o/(-42))/((-1)/(-39))?
7
Suppose -m + 8 = -10. Suppose 7 = 3*h - 0*x + 5*x, 5*h + x - 19 = 0. What is the least common multiple of h and m?
36
Let q = -1/129 - -2110/387. What is the common denominator of 3/(-6)*0 - 15/(-11) and q?
99
Let n(h) = h**3 + 8*h**2 + 2*h + 12. Let y be n(-8). What is the common denominator of 2 + -2 - (-47)/14 and 164/440 - y/10?
154
Suppose 19 = 4*j - 4*q - 9, j + 4*q + 13 = 0. What is the smallest common multiple of j and 8?
24
Let b(y) = y**2 - y + 5. Let h be b(0). Suppose -5*f + h*u - u + 84 = 0, 4*f - 96 = -4*u. Let t(w) = 2*w + 2. What is the least common multiple of t(4) and f?
20
Suppose -67 = 13*o - 12*o. Let z = o + 225/4. Find the common denominator of 24 and z.
4
Let k be (5/(-3))/((-3)/9). Let v(t) be the first derivative of t**4/4 - 2*t**3 + 3*t**2 - 3*t - 2. Calculate the least common multiple of 11 and v(k).
22
Let w be 6/(-9) - 1/3. Let b be -11 - (-3)/3*w. Find the common denominator of -28/3 and (-462)/8*(-2)/b.
24
Suppose -3*a + 2*a + 32 = 0. What is the least common multiple of a and 14?
224
Suppose -4*m + 4 = 4*k, -4*k + 5*k - 5*m - 31 = 0. Calculate the least common multiple of k and 1.
6
Let m be (-10)/(-2)*(-2)/(-5). Suppose m*a + 40 = -2*a. Let r = a + 24. What is the least common multiple of 20 and r?
140
Let a(y) = -y**3 + 12*y**2 + 29*y + 8. Calculate the lowest common multiple of a(14) and 22.
22
Let p = -23418083807/864 + 27104284. Let i = p - 1/864. Let g = -21 - 1. Calculate the common denominator of i and g.
3
Let x be 1 - (72869/(-10) + 0). Let d = 7277 - x. Let w = 2356 + -9375/4. Find the common denominator of d and w.
20
Let c = -3 - -7. Suppose -5*i - n = 3*n - 100, c*i + 4*n = 80. Calculate the common denominator of -1/4 and (-6)/i*(-1420)/24.
4
Let d(g) = 3*g**3 + g**2 - g + 1. What i