le of d and 10.
90
Calculate the lowest common multiple of (-212)/(-21) + (-8)/84 and 132.
660
Let y(n) = -n**3 + 3*n**2 + 3*n + 1. Suppose 3*t - 1 = 23. What is the least common multiple of y(3) and 9/6 + 100/t?
70
Let a = -16267/1228 - 1/307. Find the common denominator of 29/14 and a.
28
Let v = -30521 + 13887047/455. Let r = -32257/2730 + v. Calculate the common denominator of 7/8 and r.
24
Let y = -89615/11102 - -3/5551. What is the common denominator of 6/4*21/18 and y?
28
Calculate the common denominator of (10/(-200))/(2/212) and -31/11.
110
Suppose 0 = -0*q - 2*q + 18. Suppose -5 = -h + q. Suppose -3*u - 105 = -5*l, -u - 2 = 3. Calculate the smallest common multiple of h and l.
126
Let x(k) = 399*k**2 + k + 1. Let i be x(2). Find the common denominator of -145/6 and i/90 - 4/(-10).
6
Suppose 0 = 3*v - 2 - 4. Let r be 5/3 - (-2)/6. Suppose -4*c + 70 = -3*h, 2 = -3*c + r*h + 54. What is the smallest common multiple of c and v?
16
What is the least common multiple of 24 and 5/(15/(-36))*3/(-12)?
24
Let i be -1 + (8 - 1) + -2. Let j be 82/(-18) - i/(-6). Let n = j + 4/45. What is the common denominator of n and -101/2?
10
Let s = 21 - 9. Suppose -3*y + 4*k = -k - 15, 5*y - 44 = 2*k. Calculate the lowest common multiple of y and 17/3 - (-4)/s.
30
Let z = 36329/11 - 3298. Find the common denominator of 17/3 and z.
33
Suppose 0 = -4*g - 7 + 47. Calculate the least common multiple of g and 20/15 + (-20)/(-3).
40
Suppose 5*j = 28 + 2. Suppose -6 = -3*d, -5*r + 3 - 39 = -3*d. Let u = -2 - r. Calculate the smallest common multiple of j and u.
12
Let h = -5828112/7 + 46078511/56. Let m = 9769 + h. What is the common denominator of 15/2 and m?
8
Let y = 13313/10 + -1334. What is the common denominator of y and -103/22?
110
Calculate the common denominator of 2 + -5 - (-9)/22 and -119/24.
264
Let t(i) = 5*i**3 + i**2 - 1. Calculate the lowest common multiple of 7 and t(1).
35
Let i(t) = 4*t**2 - 2. Suppose -3*o - 3*r + 15 = -147, 2*o - 105 = -r. Let b = -29 + o. Calculate the lowest common multiple of i(2) and b.
154
Let f(d) = -d**2 - 6*d + 34. Calculate the least common multiple of f(0) and 38.
646
Let q(t) = 14*t**2 - 2*t. Calculate the lowest common multiple of 18 and q(-1).
144
Let t(r) = -38*r**3 - r**2 - 2*r - 5. Let k be t(-4). Let j = -49250367/22 + 2236233. Let v = k + j. Find the common denominator of v and -87/2.
22
Let b(c) = c + 41. Let x(o) = 2*o**2 + o - 2. Let p be x(2). What is the common denominator of b(0) and ((-50)/p)/(3/(-12))?
1
Suppose -27 = -5*m - 4*f + 3, 2*f - 24 = -4*m. Suppose 6*l - 75 = l. Let x = l + -11. What is the smallest common multiple of m and x?
12
Suppose 0 = u - 13 - 5. What is the common denominator of (-47)/(3 + -1 - 1) and (-82)/u + (-8)/12?
9
Let m = 6 + -12. Let u(w) = -w - 3. Let n be u(m). Let a = n + 0. What is the least common multiple of 3 and a?
3
Let r = 27/35 + 2369/105. Find the common denominator of r and 3 + ((-234)/20)/(-9).
30
Suppose 2*p + 4 - 8 = 0. Let v = 9 - 4. Suppose n + v*w = -3*n - 9, -2*w + p = 3*n. What is the least common multiple of 14 and n?
28
Suppose -2*b - 2*b + 2 = -5*o, -4*o = -3*b + 1. Suppose b*v = -v + 28. Let u(l) = 3*l - 5. Calculate the lowest common multiple of 18 and u(v).
144
Suppose 4*f - 22 = -6. Suppose -5*b - 4*y = y - 90, 0 = -4*y + 16. Calculate the lowest common multiple of b and f.
28
Suppose 2*u + 2*a + 592 = 0, 0*u - 2*a - 883 = 3*u. Calculate the common denominator of (2/(-6))/((-16)/(-33)) and (u/16)/((-3)/(-2)).
16
Let t = 79/5 + -323/10. Suppose 0 = -3*c - 2*c - 200. What is the common denominator of (3/c)/((-3)/166) and t?
20
Let r = 12 - 9. Let s(h) = -h**2 - 9*h - 9. Calculate the smallest common multiple of s(-7) and r.
15
Let a = 2012557635 - 19380930101177/9630. Let y = 5/963 + a. Find the common denominator of y and -15/8.
40
Let g = -23689/2 + 12104. Let w = g - 294. Calculate the common denominator of -51/10 and w.
10
Let d(g) = -g**2 - 14*g - 11. What is the lowest common multiple of 28 and d(-11)?
308
Suppose 6*d - 17 = 49. Calculate the least common multiple of d and 2.
22
Suppose d + 2*d - 18 = 0. Let l = 38 + -12. Let n = l - 18. Calculate the lowest common multiple of n and d.
24
Calculate the common denominator of 59/42 and 45/(-300)*70/(-12).
168
Let n = -1510 - -519. Let b = n - -5004/5. Find the common denominator of b and 63/2.
10
Let g be (29/4)/((-1)/(-4)). Let w = 12119/6 + -2032. Find the common denominator of w and (g/6)/(8/(-4)).
12
Suppose a + 0*a = -z, 0 = 5*a + 3*z + 6. Let b = -6 - a. What is the smallest common multiple of (11*b)/(3/(-2)) and 6?
66
Suppose -2*q - m - 35 = -4*q, 65 = 4*q - 3*m. What is the lowest common multiple of q and 2?
20
Let u = 48 + -32. Calculate the lowest common multiple of 6 and u.
48
Let d = -2860/17 + 66515/408. Calculate the common denominator of -47/33 and d.
264
Suppose 10 = 5*a, 2*a + 2*a - 18 = -5*v. What is the lowest common multiple of 8 and v?
8
Suppose 2*d - d - 15 = -5*s, 4*s - 54 = -5*d. Find the common denominator of -139/18 and 25/d*(-107)/(-35).
126
Let m = 5/98 - -2199/1078. What is the common denominator of -6*2/(-16)*260/(-234) and m?
66
Calculate the least common multiple of 12 and ((-8)/(-12))/((-1)/(-45)).
60
Find the common denominator of ((-4)/24)/((-2)/250) and ((-2)/(-40))/((-27)/4806).
30
Suppose 37539 = 4*b + 5*l - 2*l, 3*b = -3*l + 28152. Let d be -2 + (-412934)/(-44) - -2. Let q = d - b. Calculate the common denominator of -25/6 and q.
66
Let r = -193 + 415/2. Let a = -184983/20 - -9251. Calculate the common denominator of a and r.
20
Let h be 1 + -5 + (4 - 0). What is the least common multiple of -2 + 1 + 3 + h and 22?
22
Let p be (3/4)/(2/8). What is the common denominator of 178/36 - 2/p and -29/10?
90
Suppose 18*t - 19*t + 22 = 0. Calculate the smallest common multiple of t and 11.
22
Let w(b) = 21*b**2 + 2*b - 1. What is the smallest common multiple of 2 and w(1)?
22
What is the common denominator of 119/6 and 21 + -20 - (-43)/18?
18
Calculate the common denominator of 69/8 and (-526)/156 - 2/(-6).
104
Let f = 17565/8 + -2204. Calculate the common denominator of 21/20 and f.
40
Calculate the common denominator of (-9)/27 - (358/(-12) - 3) and -65/69.
138
Let i(d) = -2*d + 4. Let m(t) = 6*t - 11. Let y(a) = -11*i(a) - 4*m(a). What is the least common multiple of 22 and y(-3)?
66
Let b = 155 - 9. Let o be b/(-4) - 3/6. Find the common denominator of (-1)/(-16)*o + 1 and 123/20.
80
Let q = 69347/30503 + -2/2773. What is the common denominator of -77/4 and q?
44
Suppose -2*j = j - 12. Calculate the least common multiple of j and 6.
12
Let i(f) = 19*f**2 - 4*f - 3. Let q be i(-3). Let g(k) = -k**3 - 3*k**2 + k. What is the smallest common multiple of q/10*4/6 and g(-4)?
12
Suppose 0 = 4*x + 11 - 47. Suppose 4*y = -q + 12, -q + 0*y - y = -x. What is the lowest common multiple of q and 2?
8
Suppose -8*n + 16 = -4*n. Let i(c) = 6*c**2 + c - 1. Let l(x) = -x**3 + 2*x**2 + 3*x + 1. Let p be l(3). Calculate the lowest common multiple of n and i(p).
12
Suppose 3*h + 5*n + 271 = 0, -2*h + 4*n - 20 = 168. Let o = h - 106. Let y = o + 383/2. What is the common denominator of 27/4 and y?
4
Suppose 2*v + n - 129 = 0, 2*n + n = 9. Calculate the least common multiple of 39 and v.
819
Suppose -5*u - 5*m + 36 = -2*m, 0 = -u - 5*m + 16. Calculate the common denominator of (-3)/u + (-16)/(-3) and (-128)/(-6) - (-1)/(-2).
6
Let d be 1/2 + 770/20. Let i = d + -23. Calculate the least common multiple of 16 and i.
16
Let u(v) = -2*v - 9. Suppose 3*x + x + 60 = 4*n, 2*n - 24 = 5*x. Let i = n + -10. Calculate the lowest common multiple of u(-7) and i.
35
Let l(z) = z**2 - 8*z + 7. Let c be l(7). Let m be ((-9)/(-12) - c)*20. Suppose -4*a + m = -a. Calculate the least common multiple of 6 and a.
30
What is the common denominator of (-2)/(-7) - 2517/210 and 4/2 - 3/6?
10
Suppose g - c - 45 = -2*c, -131 = -3*g - 2*c. Suppose w + g = 3*v, 38 = 4*v + 2*w - 0. Calculate the least common multiple of v and 6.
12
Let u = 8 - -8. What is the smallest common multiple of u and 4?
16
Let k(t) = -t**2 - 17*t - 16. Calculate the least common multiple of k(-7) and 8.
216
What is the lowest common multiple of 20 and 22/18 - 1 - 70/(-9)?
40
Let z = -4 - -14. Let i(n) = n**2 + 6*n + 6. Let u be i(-4