 a. Calculate the common denominator of -31/8 and y.
40
Let g = 15 + -7. Let c(b) = b**3 + 7*b**2 + b + 4. Let o be c(-7). Let l = o + 10. What is the lowest common multiple of g and l?
56
What is the smallest common multiple of 4 and 1*(4 + (-21)/(-3))?
44
Let d(q) = -q + 3. Let z be (-4)/(-30) - 10/75. Let p = 4 - -6. Calculate the least common multiple of d(z) and p.
30
Let c(h) = 5*h - 3. Let f be c(-3). Find the common denominator of (-1054)/(-36) + (-4)/f and (1/(-4))/((-9)/8).
18
Suppose -113 = -9*l - 14. Calculate the smallest common multiple of 20 and l.
220
Suppose -36 = -0*p - 4*p. Suppose y + 3 - 7 = 0. Suppose -a + y + 3 = 0. Calculate the lowest common multiple of p and a.
63
What is the least common multiple of (-286)/(-10) + (-6)/10 and 16?
112
Suppose 5*o = l + 12, 0*l + 5*o = 3*l + 16. What is the common denominator of (-3)/(-7)*l*-5 and 5/4?
28
Suppose 2*u - 24 = 24. Suppose -3*l - l = -u. Let g(a) = 2*a**2 - 8*a - 4. Calculate the smallest common multiple of g(l) and 2.
20
Let s(j) be the second derivative of -j**5/20 + j**3/6 - j**2 - 3*j. What is the smallest common multiple of s(-3) and 20?
220
Let t = -12391 + 9949971/803. Let p = -69857/1606 + t. What is the common denominator of 626/(-132) - 1/(-3) and p?
22
Suppose -3*r + 915 - 45 = 0. Suppose 5*v - r - 110 = 0. Suppose 6*i - i - 5*p - v = 0, -p - 27 = -2*i. Calculate the smallest common multiple of i and 1.
11
Let w(c) = -c**3 - 6*c**2 + 8*c - 2. Let g = 509/2 + -243. What is the common denominator of w(-7) and g?
2
Let l(z) be the third derivative of z**6/120 + 2*z**5/15 - z**4/12 - 2*z**3 + 3*z**2. Calculate the common denominator of -33/2 and l(-8).
2
Suppose -2*z = -5*l + 63, -l - 4*z + 1 = -16. Suppose y + l = 2*y. Calculate the least common multiple of y - ((1 - 1) + 1) and 6.
12
Suppose n + 2 = -0*d + 3*d, -3*n + 3*d = -6. Let c = n + -12/7. Let y = 87/8 - 997/88. What is the common denominator of c and y?
77
What is the common denominator of 67/10 and 14/(-136)*(-20)/70?
170
Suppose 4*w = -2*j + 2, -3*w - 16 = -5*w + 2*j. Calculate the least common multiple of w and 5.
15
Suppose 0 = -4*r + 16, i + 0*r - 26 = -5*r. Let y = i + -2. Suppose 1 + 7 = y*m. What is the smallest common multiple of 4 and m?
4
Let m = -14 - -18. Suppose -2*t - 3 = -7, m*t = -3*k + 44. What is the least common multiple of k and 4?
12
Suppose 343 = 5*d - 7. Suppose -d = -5*o - 0. Calculate the least common multiple of o and 2.
14
Suppose 0*h - h = 4. Suppose 0 = 3*d - 0 - 3. What is the smallest common multiple of 4 and d + -1 + h/(-2)?
4
Suppose 0*g - 1 = g. Let f = -2 + g. What is the smallest common multiple of f*((-12)/9)/2 and 2?
2
Let o = -134741/22 + 6127. Calculate the common denominator of o and -121/12.
132
Let f = 5416223 + -59532167/11. Let c = -4212 + f. Calculate the common denominator of -43/8 and c.
88
Calculate the common denominator of (-1015)/(-42)*9/(-20) and -17/9.
72
Let x be -1 + (-3)/((-12)/8). Let o = 15 - x. Let h = -12 - -30. Calculate the least common multiple of h and o.
126
Let h = 20 + -1. Let q = h + -1. Calculate the lowest common multiple of q and (40/15)/(2/3).
36
Let w = -4 + 7. Suppose -228 = -w*t + 126. Calculate the common denominator of -1*t/(-32) - 0 and 47/22.
176
Suppose 0 = -2*i - o + 4, 3*i + 2*o - 6 = 3*o. Let t(z) = z**3 + 5*z**2 - 8*z - 2. What is the least common multiple of t(-6) and i?
10
Suppose 4*y - 121 = 39. What is the lowest common multiple of y/(-30)*(-6)/1 and 3?
24
Let t(g) = -g + 59. Let u be t(0). Suppose -4*l - u = -199. What is the common denominator of (-701)/(-28) - 10/l and 91/2?
4
Let b(k) = -8*k**3 + k**2 + 2*k + 2. Let i = 0 - -8. Calculate the smallest common multiple of i and b(-1).
72
Let a(o) = 2*o - 11. Let t(m) = 4*m - 23. Let r(c) = -5*a(c) + 2*t(c). Let z be r(12). Calculate the lowest common multiple of 18 and (-10)/z + (-44)/(-6).
72
Let r = -17 - -9. Find the common denominator of 5 + -8 + (-178)/r and 77/6.
12
Let m = -157/105 + 22/15. Calculate the common denominator of -14/25 and m.
175
Let n be 3 - 2/2 - 85. What is the common denominator of 137/12 and -1 - (n/22 - -3)?
132
Find the common denominator of (-5)/((-2800)/(-296)) - 6/(-14) and 37/58.
290
Let u = 3027/1010 - 30/101. What is the common denominator of 0 - (120/7)/4 and u?
70
Let v(c) = c - 3. Let j be v(7). Let z = j + 1. Suppose -z*s + 2*p + 38 = 0, -3*s + 0*p = -p - 23. What is the least common multiple of s and 1?
8
Let i = -8 + 11. Let d be (-46)/8 + (-1)/4. Let s(x) = x**2 + 4*x - 8. Calculate the least common multiple of i and s(d).
12
Let v(s) = -s**2 + 7*s - 5. Suppose -2*n = n + 12. Let r be (-1 + 2)/(n/(-16)). What is the lowest common multiple of v(r) and 11?
77
Suppose 6 = 2*n - 38. Calculate the lowest common multiple of 36 and n.
396
Let s(m) = 3*m**2 - m - 1. Let o(n) = 3*n**2 + 4*n + 4. Calculate the smallest common multiple of s(2) and o(-2).
72
Let v(w) = -711*w**3 + 3*w**2 + w + 5. Let x be v(4). Let o = 228027/5 + x. Let b = o - 6291/40. Find the common denominator of 53/14 and b.
56
What is the smallest common multiple of 10 and (12/(-16))/(98/(-32) + 3)?
60
Let c = 8170754269/711440 + 46/44465. Let g = 11490 - c. Find the common denominator of -93/4 and g.
16
Let w = 16 + -27. Let u = -19 - w. Let h = 11 + u. What is the lowest common multiple of 11 and h?
33
Let u be (-40916)/(-48) - (-1)/(-6). Let x = 847 - u. What is the common denominator of x and 41/6?
12
What is the common denominator of 5/2*210/(-165) and 38/11?
11
Let t = 11717/1647 + -5/1647. Suppose 3*b + 341 = x, 3*b + 5 = 20. Find the common denominator of t and (-5)/(-6)*x/20.
18
Let b(x) = -x**2 + x. Let f be b(0). Suppose f = g - 3 - 19. What is the smallest common multiple of g and 16?
176
Suppose -g = 3*g - 20. Suppose 42 = g*p + 2. Calculate the smallest common multiple of p and 18.
72
Let a(l) = 2*l**2 + 3*l - 3. Let q be a(-3). Suppose q*z - z = 10. Calculate the lowest common multiple of 18 and z.
18
Suppose 4*w - 7 = 1. Let z be (6/(-21))/((-1)/7). Suppose -x + z = -1. Calculate the least common multiple of x and w.
6
What is the common denominator of 31/6 and (2/(-50))/((-38)/2945)?
30
Let b = -74791/18 + 4157. Calculate the common denominator of b and 3*(-1)/(-48)*23.
144
Suppose 25 = g + 7. Calculate the least common multiple of g and 20.
180
Let u = 22 - 13. Suppose 4*r + 63 = 5*j, 4*r + j = -0*r - 45. Let d = r - -20. Calculate the smallest common multiple of u and d.
72
Let w be -2 - 1/((-3)/21). Suppose k - 19 + 77 = w*p, -3*k = 9. Calculate the lowest common multiple of p and 2/3 - 38/(-6).
77
Calculate the common denominator of (-29)/6 - (-3 + 2) and 1 + -3 - (-291)/42.
42
Let y = 17 - 27. Let b(j) = 4*j + 10. Find the common denominator of 52/3 and b(y).
3
Let m be 0 + (5 - 3) + 0. Suppose 0 = -2*p - k + 55, 5*p - 170 = m*k + 2*k. What is the least common multiple of p and 8?
120
Suppose 4*f + 3*b = -55, -4*f = -f - 4*b + 10. Find the common denominator of -69/2 and 1/4 - (-65)/f.
4
Suppose 4*m - a = 27, 2*m + 9 = 5*a - 0*a. What is the lowest common multiple of 168 and m?
168
Let w = 153 - 134. Calculate the smallest common multiple of w and 10.
190
Let z = 6 + 10. Let x = 13 + -9. Suppose -x*q + 6*j + 23 = j, -q + 7 = -j. What is the least common multiple of q and z?
48
What is the smallest common multiple of (-72)/(-7) + (-4)/14 and 7/2 + (-5)/(-10)?
20
Let w = 22399/5016 - 5/456. What is the common denominator of (32/10)/(1/(-1)) and w?
55
Let w = -46 + 56. Suppose -4*t + 22 = 5*o, -3*o + 0*o = -3*t - 24. What is the least common multiple of o and w?
30
Let g = -7 - -2. Calculate the common denominator of ((-4)/5)/(18/(-145)) and (-1)/g - (-30)/(-275).
99
Let n be (1*-2)/(-2) - 1. Let f be 5/(-10)*n/(-1). Calculate the common denominator of ((-1918)/(-12))/7 - f and 13/7.
42
Let f be 1/2 - 355/(-105). Let p = f - 26/7. Let i = p - 17/3. Calculate the common denominator of i and -73/6.
6
Let t = -148233/11 + 157857/11. Let a = 95522927 - 12608909479/132. Let v = t - a. Calculate the common denominator of v and -55/16.
48
Suppose 3*r + 2 - 32 = 0. Calculate the common denominator of -2*(2 + 13/r) and 47/3.
15
Let v = -553 + 3289/6. Let t = -9453/22 - -429. Calculate the common denominator of v and t.
66
Let j(t) = t - 5 + 3 - 5*t. W