p and 14?
280
Suppose -2*h + 2*z - 13 = -3*z, -6 = -2*z. What is the least common multiple of h and 12?
12
Suppose 0*u = -3*u + 27. Suppose 0 = -d - d + 3*j + 18, 0 = -4*d - 3*j. Calculate the lowest common multiple of u and d.
9
Let q = -5 + 4. Let m(c) = -5*c**3 + c. Let p be m(q). Find the common denominator of 31/4 and (p/(-36))/((-4)/282).
12
Let l be 4/((-2)/(-8)*2). Let z(h) = 2*h - 9. Let a be z(7). What is the lowest common multiple of (l/2)/(a - 3) and 1?
2
Let t be (-4)/(-6)*(-7)/525. Let i = -5597/3150 + t. What is the common denominator of i and -119/12?
84
Suppose 0 = 4*i - 16 - 0, 0 = -4*g - i - 12. Let b = -2 + g. What is the common denominator of -57/10 and 146/(4*b/(-4))?
30
Suppose 4*r + 8 = -8, 3*r - 20 = -4*q. Suppose 4*h + 22 = -6. Let g(k) = k + 11. What is the least common multiple of g(h) and q?
8
Let f be (-4)/14 + 15990/(-91). Let z = 80/91 + 711/182. Calculate the common denominator of z and 580/f*2 + 2.
154
Let f(a) = -12*a - 3. What is the least common multiple of f(-1) and 89?
801
What is the common denominator of 18/(-24) + 374/(-40) and 13/6?
30
Suppose -4*b = -0*b - 36. Let d(a) = 7*a**3 + 6*a**2 - 7*a + 2. What is the smallest common multiple of d(1) and b?
72
Let m = -209/3 - -58. Find the common denominator of (2/(-8))/(2/(-52)) and m.
6
Let n be 15/(-6)*-2*1. Suppose -n*d + 2*d + 9 = 0. What is the least common multiple of 7 and d?
21
Let d(x) = 11*x + 29. Let b(o) = -5*o - 14. Let z(u) = 9*b(u) + 4*d(u). What is the lowest common multiple of 10 and z(-16)?
30
Let d(q) = -q**3 - 7*q**2 - 6*q + 4. Let k be d(-6). Suppose 8*b - 72 = k*b. Calculate the lowest common multiple of b and 22.
198
Let a be (6/45)/(152/24978). Let q be (-142)/38*(1 + 2). Let o = q + a. Calculate the common denominator of o and 71/20.
20
What is the common denominator of -113 + 112 - 43*1/(-7) and (-2)/(-6) + 278/84?
14
Suppose -4*u + 53 = 5*h, -6*u + u = h - 40. Calculate the common denominator of 4/9 and u.
9
What is the common denominator of 48/13 and (2/(-14))/(2/78)?
91
Suppose 1 = 3*n - 26. What is the least common multiple of 1 - 1/2*-2 and n?
18
Suppose 5*p + 39 = 3*w - 21, 3*w - p - 60 = 0. Suppose 4*n - 4*d - 60 = 0, -n - 5*d + 27 = -18. Calculate the least common multiple of w and n.
20
What is the lowest common multiple of 20 and ((-442)/136)/(14/16 - 1)?
260
Suppose 3*o - q + 3 + 23 = 0, 0 = -5*o - 5*q - 50. Find the common denominator of o and -11/3.
3
Suppose -15 = 2*g + 3*g, -3*g - 10 = f. Suppose -55 = -6*i + 65. What is the least common multiple of i and (1 + -2)*f - -19?
20
Let j be (3/(-12))/(6/1839). Let w = j + 77. What is the common denominator of w and 35/3?
24
Let c(h) = -6*h**2 + 5*h + 8. Let v(q) = 6*q**2 - 4*q - 7. Let n(r) = 5*c(r) + 6*v(r). Calculate the smallest common multiple of 10/6 - (7/(-3))/7 and n(-2).
20
Let x(l) = -l**3 + 6. Calculate the smallest common multiple of x(0) and ((-22)/(-5))/(3/15).
66
Suppose 0*c = 5*c - 60. Find the common denominator of (38/(-32))/((-6)/c) and -29/16.
16
Find the common denominator of 15/4 and (-226)/15 + (-4)/(-10).
12
Let p be (-578)/(-12) - 3/12. Let t be 6/(-8) + 612/(-16). Let a = p + t. Calculate the common denominator of a and 45/2.
12
Let j = 39 - 25. Suppose 0 = d + d + h + 11, j = -3*d + h. Let r = d + 15. What is the least common multiple of r and 8?
40
Let h = 22 + -7. Suppose 0 = -2*u - h - 31. Calculate the common denominator of 4 - 3 - u/6 and 17/16.
48
Let c = 1119046 + -40290677/36. Let w = c + 525/4. Let f = -835/26 - -86/13. What is the common denominator of w and f?
18
Suppose 13*r = 77 + 40. Calculate the least common multiple of 30 and r.
90
Suppose 0 = -2*m - 0*m + 12. Let z be m/((6/8)/(-1)). What is the lowest common multiple of 14 and (-2)/(-1) - z/1?
70
Suppose -5*t + 3*v - 4 = 13, -3*t - v + 1 = 0. Calculate the common denominator of (-3)/33*35*t and (1 + -2)*43/(-11).
11
What is the common denominator of -47/18 and (2 + 0)*49/84?
18
Suppose -166 = 2*j - 32. What is the common denominator of -61/8 and 0/2 + j/10?
40
Let j = -32121/1501 - 2/7505. Let n = j + 857/30. Calculate the common denominator of 51/84 + (-2)/8 and n.
42
Let n = -19 + 21. Let v be (6/(-4))/((-3)/(-4)). Calculate the smallest common multiple of n*2*(v - -3) and 1.
4
Suppose 0*a - 2*a + 4 = 0. Suppose 4*g - 6*n + 2*n - 4 = 0, -2*g - 13 = -5*n. What is the smallest common multiple of a and 2/((-3)/g*-1)?
4
Let y(f) = 423*f + 1. Let v be y(7). Let r = 11749/4 - v. Let w = -20251/12 - -1685. Find the common denominator of r and w.
12
Let n be 3/6*18/1. Find the common denominator of (2/(-15))/(8/522) and (-5)/(-6) - 2/n.
90
Let x = -1415/4 - -7133/20. What is the common denominator of 0 + 39/(-8) - (-7 - -3) and x?
40
Let i = -6823/6 - -1156. Let w = 40321167/160825 + -6/22975. Let a = 1707/7 - w. Find the common denominator of i and a.
42
Let x = -98/23 - -457/253. Calculate the common denominator of x and (-1 - 0)/((-16)/(-132)).
44
Let p = -9 + 11. Let o = p - 1. What is the lowest common multiple of o and 18?
18
Suppose 5*b = 4*q + 2, 2*q - b = -6*b + 14. Let c(t) = -3 - 4 - t**2 + 0*t**q - 8*t. What is the least common multiple of c(-6) and 8?
40
Let i = 3 + -1. Let v = -1264/9 + 835/6. What is the common denominator of v and ((-58)/(-8))/((-1)/i)?
18
Let d be 4/(-8) - (-5)/2. Suppose d*n = 6*n - 64. Suppose 4*r + 0*r = 48. What is the lowest common multiple of r and n?
48
Let u(t) = -t**2 - 15*t + 4. What is the smallest common multiple of u(-15) and 7?
28
Let i(m) = -366*m**2 - 2*m + 1. Let g be i(-4). Let h = 22559123/9 + -2500728. Let b = h + g. Calculate the common denominator of -25/8 and b.
72
Let s = 1168/105 + 19/35. Let d = -2371/84 + 115/21. Calculate the common denominator of d and s.
12
Suppose -21 = -3*d - 3*x, x - 3 = -2*d + 7. Let y = d + -3. Suppose 3*u + 2*u - 20 = y. Calculate the lowest common multiple of u and 8.
8
Let v(l) = -l**2 + 7*l + 5. Calculate the least common multiple of 6 and v(6).
66
Let w = -3/475 + 38499/3800. What is the common denominator of 67/24 and w?
24
Let b = -111 - -113. Calculate the smallest common multiple of b and 76.
76
Let q = -10 - -20. Calculate the least common multiple of q and 44.
220
Suppose -4*x = 0, -y + 6*y - 5 = -2*x. Let o = 3 - y. Let s(i) = i**2 + i + 3. Calculate the smallest common multiple of s(-3) and o.
18
Calculate the common denominator of (-86*(-2)/8*1)/(-5) and 79/10.
10
Let c = 6/73 - 1897/876. Let u = -2/741 + 3223/4446. Calculate the common denominator of u and c.
36
Suppose 2*t - z = 15 - 3, t = 3*z + 6. Let y = -4 + 5. What is the smallest common multiple of t and 1*(4/2 + y)?
6
Suppose 5 = 2*y - y, 0 = -5*g - y + 3395. Let u = g + -2677/4. Calculate the common denominator of u and -13/4.
4
Let u = 8 - -2. Suppose -9 = 2*z - 4*z - 5*y, 0 = -y + 1. What is the least common multiple of u and z?
10
Suppose -2*j + 0*j = 44. Let l = j - -31. Calculate the least common multiple of 10 and l.
90
Let y(c) = c**2 - 19*c - 17. What is the lowest common multiple of 1 and y(20)?
3
Suppose 3*d - r + 2 = 0, d - 3*r = -4 - 2. Suppose d = 3*c + 15, c - 60 = 5*b - 5. Calculate the common denominator of ((-254)/10)/(b/10) and -33/14.
42
Calculate the lowest common multiple of 11 and 49/6 - ((-15)/18)/(-5).
88
Let l = 5 - 3. What is the lowest common multiple of 20 and l?
20
Find the common denominator of ((-102)/(-10))/((-4)/10) and 47/18.
18
Suppose 2*q = -5*z, -z = 5*q + 2*z. Calculate the least common multiple of 9 and q - (-1 + 4 + -4).
9
What is the common denominator of (11/(-2))/((-5)/35) and 30?
2
Let x(c) = -c**3 - 8*c**2 - c - 4. Let t be x(-8). Let z = 20855/18 + -1162. Find the common denominator of (-1155)/(-784) - t/14 and z.
144
Calculate the smallest common multiple of 105/(-15)*36/(-14) and 2.
18
Let s be -3*(15/(-9))/(-5). Calculate the common denominator of 21/8 and (100/22 - s) + -1.
88
Let a be 4/(-14) + (-27000)/(-28). Let f = 17363/18 - a. What is the common denominator of 119/6 and f?
18
Let h = -65/24 - -17/6. Find the common denominator of h and -52/3.
24
Let v = -161/144 + 9/16. Find the common denominator of v and -51/8.
72
Let t = -74 + 80. Calculate the smallest common multiple of t and 6.
6
Suppose f = 5*i + 5*f - 7, 2*i - 7 = -3*f. Find the common denominator of -15/14 a