- l + 2. Let f(n) = 7*n**3 + 12*n**2 - 2*n + 3. Let k(m) = -5*d(m) + 3*f(m). What is the lowest common multiple of k(-6) and 9?
45
Let h = 0 + 3. Suppose h*y + m - 11 = 0, -2*y = -2*m + m - 14. Calculate the smallest common multiple of y and 1.
5
Let f(y) = -y**2 + 18. Let s be 6*(7/(-2) + 3). What is the least common multiple of f(0) and (8/12)/(s/(-63))?
126
Suppose 3*j - t + 5 = j, -3*t + 9 = -4*j. Calculate the smallest common multiple of 6 and 13 + j + (-4)/(-2).
12
Suppose -4*s = 4*w + 16, -w + s = -6 - 0. Calculate the smallest common multiple of (-1*1)/((-9)/126) and 2/1*w*8.
112
Suppose 9 = -3*q - 3*k, q - 5*k = -3*q + 33. Suppose -2*z = -3*j - 12, 3 - 1 = -q*z - 4*j. Let r = 14 + -13. Calculate the lowest common multiple of r and z.
3
Let f = 6 - 23. Let k = 39 + f. What is the least common multiple of k and 8?
88
Let a = 1283/3 + -18163/42. What is the common denominator of -5/2 and a?
14
Let w(z) = z + 16. Let g be w(-12). Suppose 0 = -2*j + j + 2*a + 4, -2*a - 10 = -g*j. Calculate the smallest common multiple of j and (-1 + -3)*1/(-2).
2
Suppose j - 4*j + 21 = 0. Suppose -5*x - j = 18. Calculate the smallest common multiple of 8 and (-52)/x + (-2)/5.
40
Suppose -2*d + 3*g + 14 = -0*g, -5*d + 5*g = -40. Let w = -9 + 25. What is the least common multiple of w and d?
80
Calculate the common denominator of -79/20 and -1 + 0 - (-154)/(-24).
60
Suppose 4*i = 3*j - 53, 12 + 37 = -5*i - 2*j. Let h = 7 - i. Let m(c) = c**3 + 5*c**2 + 3*c - 3. Calculate the least common multiple of h and m(-3).
18
Calculate the common denominator of ((-1)/7)/(18/(-231)) and -8/9.
18
Let m = 6 - 11. Let b = 3 + m. What is the common denominator of 29/2 and (-158)/4 + 1 + b?
2
Suppose -5*y + 403 = -2*z + 6*z, 0 = 3*z + 4*y - 303. Let d = -31 - -29. What is the common denominator of 69/10 and (d/28)/(1/z)?
70
Let s(g) = -2*g + 25. Let d be s(10). Suppose 0 = 3*u + 4*i - 25, 6*u + 2*i - 37 = u. Suppose -d*f + 32 - u = 0. Calculate the least common multiple of f and 2.
10
Let t(p) = -p**3 - 2*p**2 - p - 1. Let i be t(-3). Let f = i + -7. What is the common denominator of 109/14 and (-285)/(-72) + f/6?
56
Suppose 0 = -3*b + 30 + 30. What is the lowest common multiple of b and 12?
60
Let s = -58 + 66. What is the least common multiple of 6 and s?
24
Let q = -280/3 - -2111/24. Find the common denominator of q and (72/20 - 4) + 0.
40
Let w = 1 + 2. Suppose -6*b - 15 = -w*b. Let o = 17 + b. What is the smallest common multiple of o and 16?
48
Let l(d) = 3*d**3 + 3*d**2 - 11*d + 6. Let v(q) = -q**3 - 2*q**2 + 5*q - 3. Let w(s) = 2*l(s) + 5*v(s). Calculate the least common multiple of 10 and w(4).
90
Let t(r) = 13*r + 86. What is the smallest common multiple of t(-6) and 9?
72
Let l = 372 + -266. Suppose -4*m - 2*j = l, m - 5*j = 2 - 1. What is the lowest common multiple of (-4)/10 + m/(-10) and 18?
18
Find the common denominator of -83/8 and (30/(-225))/((-8)/(-890)).
24
Suppose 5*o - 40 = 3*o. Calculate the least common multiple of o and 22.
220
Let b = 201/190 - 22/19. Let w = 417 + -1699/4. What is the common denominator of w and b?
20
Let o be 10/3 + 4/6. Calculate the least common multiple of 18 and 1/(o + 22/(-6)).
18
Let q(j) = j**3 + 9*j**2 + 10*j + 5. Let y be q(-8). What is the common denominator of y*(4/(-12) + 2) and 45/7?
21
Let d be ((-4)/30)/((-8)/91452). Let z = d - 1514. Find the common denominator of 49/3 and z.
15
Suppose 0 = 5*x + 5*y - 687 + 14312, -5436 = 2*x - 5*y. Let i = 21725/8 + x. Calculate the common denominator of i and 0 + 28/(-18) + -2.
72
Let w = -20167/78 - -3060/13. Let r = 1853 - 7453/4. Find the common denominator of r and w.
12
Suppose 0 = 3*s + 2709 + 981. Let a = -3749/3 - s. What is the common denominator of 2/8 + (-182)/(-72) and a?
9
Let q = -6643/6 + 1103. What is the common denominator of q and 117/14?
42
Suppose 6*g - 1127 = -317. Calculate the least common multiple of 7 and g.
945
Let l = 14 + -34. What is the least common multiple of 8 and (-8)/l + 3/5?
8
Suppose -4*l = -3*x + 3, 2*x - l + 5 = 4*l. What is the lowest common multiple of 4 and x?
20
Let j = -2377316/9 + 265079. Let p = j - 934. What is the common denominator of ((-660)/(-121))/((-6)/4) and p?
99
Suppose 6*t + 5*y = 4*t + 104, -208 = -4*t - y. Let u = -30 + t. Calculate the lowest common multiple of u and 22.
22
Let s(d) = -d**3 + 5*d**2 + d - 8. Calculate the smallest common multiple of s(4) and 36.
36
Let i = 9 + -13. Let d = i - -9. Calculate the common denominator of 46/7 and 1/d*50/12.
42
Suppose -2*l + 2*x - 2 = -x, -3*x = -5*l - 14. Let m be (-18)/l*24/15. Let o = m + -6. What is the common denominator of o and -19/4?
20
Let y(q) = q - 4. Let g be y(13). Calculate the common denominator of (0 - -2) + (-83)/g and 11/14.
126
Let z(d) = -d + 6. Let y(u) = -u + 5. Let w(s) = -2*y(s) + 3*z(s). Let g be w(-6). What is the common denominator of 136/g*21/27 and 53/8?
72
Let x(k) = -k + 8. Let u be x(5). Let n(l) = l**3 - 2*l**2 + 3*l + 2. What is the smallest common multiple of n(u) and 10?
20
Suppose 0 = 8*u - 5*u - 462. What is the smallest common multiple of (u/(-35))/(2/(-5)) and (-79)/(-9) + 2/9?
99
Suppose 0 = 4*d + 5*f - 167, 0 = -5*d + 3*f + 136 + 82. Calculate the common denominator of d and (-639)/(-56) + (-6)/21.
8
Let a(h) = 2*h - h - 6 + 2*h. Suppose 3*c + 64 = 7*c. Calculate the smallest common multiple of a(4) and c.
48
Suppose 2*s + 2*s - 12 = 5*q, 3*q = 3*s - 6. Let h be s/(-1) - (-2 + 51). What is the common denominator of (h/11 - -2)*1 and -26/7?
77
Let f = 6 + -4. Let m(i) = -i**3 - 3*i**2 - 2*i - 1. Let j = -5 - -2. What is the lowest common multiple of m(j) and f?
10
Suppose -o - 4*o = -15. Calculate the lowest common multiple of o and 8.
24
Let f = -7 - -1. What is the common denominator of (-578)/(-90) + (-1)/5 and (f*1)/(8/5)?
36
Suppose 2*y + 0*y - 3470 = 0. Let l = 6905/4 - y. Calculate the common denominator of -133/6 and l.
12
Suppose 0*l = l - 3*s, s - 15 = 2*l. Let o be (-60485)/10*2/l. Let h = -1341 + o. Find the common denominator of h and -97/10.
90
Suppose -5*y = -3*y - 104. Suppose j - y - 34 = 0. Suppose 6*v + 2 = -b + 2*v, 5*b - j = 4*v. Calculate the lowest common multiple of b and 18.
126
Let z = -11 + 21. What is the common denominator of (-4)/22*z*2 and 71/9?
99
Let m(v) = -2*v - 1. Let b(n) be the first derivative of -n**2/2 + 2*n + 1. Let f be b(7). What is the smallest common multiple of m(f) and 2?
18
Suppose -8*g + 15 = -3*g. What is the common denominator of 51/16 and ((-1190)/(-336))/(1/g)?
16
Suppose -5*w = 15 - 60. What is the smallest common multiple of 18 and w?
18
Let y(z) = 13*z + 11. Let u(d) = 7*d + 6. Let j(s) = 5*u(s) - 3*y(s). Let i be j(6). Calculate the common denominator of 45/4 and ((-6)/i)/((-8)/(-210)).
12
Let y(g) = g**2 + 11*g - 9. Let r be y(-12). What is the least common multiple of 8 and -9 - -22 - (r - 0)?
40
Let z = 229037 - 27484283/120. Calculate the common denominator of -83/14 and z.
840
Suppose -o - 7 = 5*z, z + 2 = -o + 7. What is the lowest common multiple of o and 162/15 - (-2)/10?
88
Let a = 90 + -88. What is the least common multiple of 24 and a?
24
Let l = 53 + -38. Suppose -6*r - 52 = -16. Let m = l + r. Calculate the smallest common multiple of m and 5.
45
Find the common denominator of -51/2 and 1305/(-150) + 2/(-5).
10
Let p = -176/34545 - 2/235. Let a = 334/147 - p. What is the common denominator of a and 43/11?
77
Find the common denominator of -35/8 and ((-1)/(-3))/((-3)/177).
24
Let h = 54 - 6. Suppose 3*z = 15 - h. What is the common denominator of 99/4 and ((-6)/6)/(z/26)?
44
Let c = -90 + 110. Let h be (1 - 0 - 10) + -1. Let n = h + 14. What is the lowest common multiple of n and c?
20
Calculate the smallest common multiple of (-261)/(-18) - 6/(-4) and 6.
48
Find the common denominator of -32/9 and 6/(-20)*89/3.
90
Let c = -157 + 1101/7. Calculate the common denominator of 58/3 and c.
21
Let x(w) = -w**2 + 8*w - 8. Let u be x(6). Let m be (u/5)/(2/(-20)). Let h(d) = -d**3 - 7*d**2 + 8*d + 9. What is the least common multiple of 4 and h(m)?
36
Let d = -31285 + 1188933/38. Calculate the common denominator of 125/12 and d.
228
Let y be 3*(3 + (-2)/6). Suppose -j - y = -3*j. Let n = -5 - -21. What is the smallest common multiple of n and j?
16
Suppose -2*f - 4*x +