 common multiple of 6 and k.
66
Let c(a) = -a**3 + 6*a**2 - 3*a - 6. Let k be c(5). Suppose -5*r + k*n - 1 = 0, -4*r - r = -2*n - 7. Calculate the smallest common multiple of 10 and r.
30
Let u = 6/325415515 - -45385376423771/2048165251410. Let f = u - -8/1049. What is the common denominator of f and ((-9)/(-10))/(4/10)?
12
Calculate the lowest common multiple of 28 and ((-396)/54)/((-4)/6).
308
Suppose 12 = f - k, f = 4*f - k - 38. What is the lowest common multiple of f and 5?
65
Let z = -119 - -123. Calculate the lowest common multiple of 8 and z.
8
Let x(j) = 3*j**3 + j**2 + 2*j - 6. Let a be x(3). Suppose -a = -4*d - d. Calculate the smallest common multiple of d and 16.
144
Let a = 15091/5565 - -8/371. Calculate the common denominator of -2/15 and a.
15
Let f be ((-2)/6)/((-2)/10644). Let j = -15985/9 + f. Let x = 434/9 - 548/9. What is the common denominator of x and j?
9
Let k(q) = -5*q + 11. Let c(r) = r. Let t(b) = 6*c(b) + k(b). Calculate the smallest common multiple of 10 and t(-10).
10
Let w be 1/2*(-12)/2. What is the least common multiple of ((-20)/(-6))/((-1)/w) and 20?
20
Let j = -16 - -26. Let m = -23983/14 - -1708. What is the common denominator of m and ((-103)/8)/((-25)/j)?
140
Let n = 218/2699 - 2763766/267201. Let h = -86/11 - n. Let z = -1978 - -9838/5. What is the common denominator of z and h?
45
Let x(q) = 4*q**2 + 2*q**2 - 3*q - 6 - 2*q**2 - 3*q**2. Calculate the least common multiple of 2 and x(5).
4
Let q(b) = 32*b**2 - 4*b - 4. Let v be q(4). Let o = 951/2 - v. Calculate the common denominator of o and -14/3.
6
Find the common denominator of -85/14 and 13/4*44/99.
126
Suppose -8 + 20 = 2*t. What is the smallest common multiple of 21 and t?
42
Suppose v = 2 + 6. What is the least common multiple of v and 7?
56
Let x(h) = h + 14. Let w be x(8). Suppose 2*u + w = 4*u. Calculate the lowest common multiple of u and 8.
88
Let l = 8 + -3. Let z(r) = -r**3 - r. Let u be z(1). Find the common denominator of u/l + 878/120 and -53/22.
132
Suppose 4*i - 6*i = -80. Let z be (-1)/4 + 5978/i. Let f = -16437/110 + z. Find the common denominator of -125/12 and f.
132
Suppose 2*h - 13 = -0*h + 5*k, -4*h = -3*k - 47. Calculate the smallest common multiple of 20 and h.
140
Suppose -16 = -0*r - 4*r. Suppose 0 = -0*q - q + 12. Calculate the lowest common multiple of q and (r/(-3))/((-4)/42).
84
What is the lowest common multiple of 40 and (4/3)/((-17)/(-153))?
120
Let w be ((-22)/18)/((-40)/12). Let r = -73/10 - w. Find the common denominator of r and -1.
3
Let q(r) = -r - 17. Let k be q(-12). Calculate the common denominator of 27/4 and -50*((-10)/(-32))/k.
8
Let j(c) = -2*c - 3 + 2*c + 2*c - c. Let z be j(7). Let m = z + -2. Calculate the least common multiple of 6 and m.
6
Suppose -s + 43 = 4*b, b - 4 = -s + 9. Let q be 239/3 - 1/(-3). Suppose 0 = 5*v - 0*v - q. What is the lowest common multiple of b and v?
80
Suppose 0 = -5*r - 5*y - 15, 2*y - y = 2. Let f be 1/5 + 21/r. Let l = 0 - f. What is the lowest common multiple of 12 and l?
12
Suppose -28 = b - 3*b. Calculate the least common multiple of 2 and b.
14
Let k = -2131 + 3101. Let z = k - 3829/4. Let r = -2/7173 + 595387/100422. What is the common denominator of z and r?
28
Let y(n) = -n + 4. Suppose 10*h - 36 = 8*h. What is the least common multiple of y(-4) and h?
72
Suppose 3*p = 3 + 3. What is the least common multiple of p and (-33)/4*(-24)/9?
22
Let z(v) = 2*v**3 - v**2 - 3*v - 1. Let a be z(-2). Find the common denominator of -5/12 and a/(-20)*54/11.
132
Let s be 66/4*(-6)/(-9). Suppose s - 41 = 5*v. Let t = v - -10. Calculate the smallest common multiple of 18 and t.
36
Suppose g - 3*p - 21 = 0, 5*g + 2*p + p = 51. What is the lowest common multiple of g and 6?
12
Suppose 2*b + 0 - 1 = -h, 0 = -3*h - 5*b + 2. Let a be (-9)/(-6)*10/h. Let q = a - -27. Calculate the least common multiple of q and 18.
36
Suppose 4*i + 3*p - 37 = 0, -i - 3*i - 5*p + 35 = 0. What is the smallest common multiple of i and 8?
40
Let b(o) = 2*o**2 - 16*o - 12. What is the lowest common multiple of b(9) and 45?
90
Suppose k - 27 = 3*c, 0 = 4*k + 4*c - 17 - 107. What is the smallest common multiple of k and 9?
90
Suppose -m = -6*m + 65. Let d = -4/2435 + -97364/21915. What is the common denominator of d and -2*3*m/(-10)?
45
Let y = -25521 + 663647/26. Find the common denominator of y and 101/14.
182
Let l be (-24)/(-14) - 10/(-35). Suppose p + 0*p = -3*o - 18, l*p + 30 = -5*o. Calculate the lowest common multiple of 5 and 2/o*60/(-5).
20
Calculate the common denominator of 4/26 - (-11606)/1456 and -85/2.
8
Calculate the lowest common multiple of (0 + 1)*(9 + -1) and (-3 - (-78)/14)/(2/14).
72
Let p(a) = -a**3 + 13*a**2 - 12*a + 3. What is the least common multiple of (-1)/(-1) - -1 - -8 and p(12)?
30
Let j = -29439/8 + 3668. Calculate the common denominator of j and -27.
8
Suppose -2*g = 3*g - 3020. Let f = g - 1175/2. Find the common denominator of 51/2 and f.
2
Suppose -2 = -3*s + 2*y, -1 = -2*y + 9. What is the common denominator of 133/6 and s/(-18) - (-5137)/2178?
66
Let b = 6 + 0. What is the least common multiple of b and ((-4)/(-56)*-4)/((-5)/140)?
24
Let o = 15259/690 - -6/115. Suppose 3*z = 3*g + 57, z - 4*g - 25 = -g. What is the common denominator of (-178)/z - (-3)/6 and o?
24
Calculate the common denominator of (90/12)/(7/6) and 67/9.
63
Let t be (-2 - -1) + 28/132. Let m = -1217/330 - t. Calculate the common denominator of 101/8 and m.
40
Let o = 90 - 20. Calculate the smallest common multiple of o and 2.
70
Let p(d) = -d**2 - 9*d - 14. Let u be p(-14). What is the common denominator of (-6)/14 - (-321)/u and -53/16?
16
What is the smallest common multiple of 306/68*40/18 and 9?
90
Suppose 0*l - 8 = -l. Calculate the lowest common multiple of 16 and l.
16
Suppose 5*d + 5*n - 195 = 0, 0*n + 5*n + 57 = 2*d. What is the least common multiple of d and 16?
144
Calculate the least common multiple of 5/2 + (0 - (-1)/2) and 8.
24
Let j = 427 - 14084/33. What is the common denominator of j and 56/15?
165
Suppose 2*c = -3*c. Suppose 2 = w - c. Calculate the least common multiple of 6 and (-1)/w - 10/(-4).
6
Suppose 3*z - 5*z + 44 = 0. Suppose 112 + 8 = -5*o. Let n = 40 + o. Calculate the lowest common multiple of z and n.
176
Let v = 12 - -13. Suppose a + 4*a - v = 0. What is the least common multiple of a and 8?
40
Let h = -34/21 - -601/462. Find the common denominator of -34/11 and h.
22
Let t(v) = -v**2 - 5*v + 3. Let s be t(-5). Suppose 5*h = s*h - 42. What is the common denominator of h and (42/(-8))/(9/22)?
6
Let f = 33 - 21. What is the smallest common multiple of 8 and f?
24
Suppose 10 = 2*n + 2*i, -7 - 5 = 4*i. Calculate the smallest common multiple of 50 and n.
200
Let f(y) = 9*y**3 - 2*y**2 + 1. Let h be f(-1). Find the common denominator of 2/1*95/(-16) and (-4)/h - (-1983)/180.
24
Let m = -3274 - -49162/15. Find the common denominator of m and -51/2.
30
Let f = 272 + -136. Suppose -2*s + a = s + f, a - 180 = 4*s. Find the common denominator of (-1)/((-7)/(-2) + 0) and s.
7
Suppose -9*h + 10*h - 17 = 0. What is the least common multiple of h and 8?
136
Let a = -6633/4072 + 2/509. Find the common denominator of a and -3/7.
56
Find the common denominator of (-39)/9*-3*1 and ((-20)/(-22) - 1)/(5/(-10)).
11
Suppose -12 = -2*j + 3*s, -j + 12 = j - 4*s. Calculate the smallest common multiple of 3 and j.
6
Calculate the common denominator of -25 + 21 + (321/(-66))/(-1) and (-122)/(-12) + 0/(-2).
66
Let s = -723 + -693. Let b be (-2)/12*230481/(-27). Let a = b + s. What is the common denominator of 27/22 and a?
198
What is the common denominator of (6 - 0)/((-20)/(-38)) and 18/5?
5
Let i = -245752/90101 + 2/8191. Find the common denominator of i and (-15)/3*(-8 - 1).
11
Let n = -233430007794/6907681 + -27/627971. Let b = 33823 + n. Let r = 3111/110 - b. Calculate the common denominator of r and -45/11.
110
Let d be 819/12 + 4/(-16). Calculate the least common multiple of (-16)/(-24) + d/6 and 22.
132
Suppose 0 = t - 2 + 3. Let y(v) = -v**3 + 4*v**2 - v - 1. What is the common denominator of (19/4)/(-1) + t and y(4)?
4
What is the smallest common multiple of 14/(-6)*1*-3 and 20/6 - (-5)/30*4?
28
Let k(h) = 29*h**2 - 3*h + 2. Let u be k(1). Suppose 5*b + 57 + u = c, -110 = -2*c - 2*b.