et f be (-1)/(-5) - (-42)/(-10). What is the common denominator of (-6)/(-77) + f/(-14) and -31/4?
44
Let g = -14/1425 + -247067/2850. Let a = 231/5 + g. Find the common denominator of -121/12 and a.
12
Calculate the smallest common multiple of 8 and (-2)/(-9) + (-70)/(-9).
8
Let p = 110 + -96. What is the smallest common multiple of 2/4 - (-19)/2 and p?
70
Let x(y) = 3*y - 11. Let a(g) = g**2 - 6*g. Let h be a(6). Suppose h*q - 2*q = -32. What is the lowest common multiple of q and x(7)?
80
Let w(q) = q**3 - 11*q**2 + 18*q + 10. What is the smallest common multiple of 21 and w(9)?
210
Let w = 3599413/22584 + -11/2823. Let v = w - 6569/40. Calculate the common denominator of -117/20 and v.
20
Let a = -778627 + 5439339/7. Let w = 1583 + a. What is the common denominator of (-3)/(-12) + 253/(-36) and w?
63
What is the smallest common multiple of 3 and 23/2 - 2/4?
33
Suppose 2*q = -2*g + 18, 3*g - 11 = 5*q - 0*q. Suppose -30 = -9*d + 6*d. Let m = d + -1. What is the smallest common multiple of g and m?
63
Suppose -5*h + 48 = 18. Calculate the least common multiple of 6 and 3/(0 - h/(-44)).
66
Find the common denominator of (-57)/20*29/29 and 11/2.
20
Let a = 8 + -16. Let y be (-318138)/a*(-1)/(-15). Let h = y + -2649. Calculate the common denominator of 77/10 and h.
20
Let u(p) = -p**3 - 3*p**2 + 2*p + 6. Let v be u(-9). Calculate the common denominator of 23/5 and (v/16)/(-3) - -1.
40
Find the common denominator of 3/2*238/(-510) and (-8)/42*(-66)/4.
70
Calculate the lowest common multiple of 6/(-9)*(-3 + 3/(-2)) and 2.
6
Suppose -6*z + 2*z + 8 = 0. Suppose -3*i - 190 = z*i. Find the common denominator of i/36 + (-8)/(-12) and -91/6.
18
Let m = -52001/469 - 945/134. Let u = 118 + m. Find the common denominator of (-268)/(-14)*1/(-4) and u.
14
Let b(t) = 14*t + 4. Let c be 1*4*2/4. Calculate the smallest common multiple of 6 and b(c).
96
Suppose 78 = 22*m - 20*m. Let q = m + -78. Find the common denominator of 97/2 and q.
2
Let m(s) = -s + 2. Let z = 1 + -3. What is the lowest common multiple of (8 - 98/21)*(-24)/(-10) and m(z)?
8
Let z = 1968 + -19699/10. Find the common denominator of (-78)/(-8) - (-6)/(-18) and z.
60
Suppose 8 = -s + 9. Let d = -2/681 + -2572/227. Find the common denominator of 0 + (-21 - (s + 1)) and d.
3
Suppose 0 = 2*o - 83 + 29. What is the common denominator of o and -77/12?
12
Let t = -1081/24 + 158/3. Let m = 119 - 2977/24. What is the common denominator of m and t?
24
Let b(j) = 13*j - 3. What is the smallest common multiple of 6 and b(1)?
30
Suppose -4*s = s - 4*p - 70, 4*s = -4*p + 56. What is the lowest common multiple of s and 14?
14
Suppose -6*k + 2*k + 3304 = 0. Let h = k - 8293/10. Calculate the common denominator of -149/12 and h.
60
Let y be ((-16)/(-2) - 3) + -3. Let k = y - -4. Calculate the lowest common multiple of 10 and k.
30
Let w = -61/74 - -6387/7030. Let r = w - 281/4465. Let s = r - -3147/94. Calculate the common denominator of s and -11/8.
8
Let a(h) = h + 13. Let b be a(6). Let w = b + -15. What is the lowest common multiple of 9 and w?
36
Let h = 68174 + -80036281/1174. Let k = -40789/1761 + h. Find the common denominator of k and 1/4 + (-242)/(-8).
6
Calculate the common denominator of (15/20)/((-6)/(-37)) and 771/70 + 4/14.
40
Let p(z) = z + 5. Calculate the lowest common multiple of p(0) and 2.
10
Suppose 1 = -11*d + 10*d. Suppose -42 = -2*h - 2*c + 4, -5*c = 3*h - 73. Let t = d + h. What is the lowest common multiple of 4 and t?
20
Suppose -5*i - 3*y + 4*y + 111 = 0, i + y = 21. What is the least common multiple of 14 and i?
154
Find the common denominator of 2/(-6)*(-261)/30 and -2 - -1*(-282)/(-84).
70
Let o = 767387/13 - 58999. Let y = o - 4595/143. What is the common denominator of y and (-98)/(-20) - (2 + -2)?
110
Let l = 211 + -686/3. Suppose 3*c + 4 = c. What is the common denominator of l and ((-82)/(-12))/(c/4)?
3
Suppose 44*u - 45*u = -11. Calculate the lowest common multiple of u and 2.
22
Let n = 27763/18 - 1543. Find the common denominator of n and ((-174)/(-4) - -1)*1.
18
Suppose m - 18468 = 5*m. Let k = m - -41510/9. Find the common denominator of k and ((-3)/12)/(0 - -1).
36
Let z be (2 - 3)*-1*1. Let w(b) = 2*b + 46. What is the lowest common multiple of w(-19) and 4*z*1 - 0?
8
Let d(c) = -8*c - 2. Let s(p) = p**3 - 8*p**2 + p + 7. Let z be s(8). What is the lowest common multiple of 224/10 - 6/z and d(-3)?
22
Let p(b) = -b**2 + 4*b - 2. Let g be 5 + 4 - (4 - 1). Let q = g - 3. Calculate the least common multiple of 3 and p(q).
3
Let x = -35 - -53. Suppose -12 - x = -5*w. Suppose 2*j = -2*q + 3*j + 48, 2*j + 118 = 5*q. What is the least common multiple of w and q?
66
Let q = -5/338 - -16577/1014. What is the common denominator of -27/41 and q?
123
Suppose 0 = 3*p - 3, -3*p - 6777 = -9*c + 4*c. Let j = -9524/7 + c. What is the common denominator of j and -17/9?
63
Suppose u + u = 4. Suppose 5*q - 5*o = 0, 3*q - 5*o + u = -2. Find the common denominator of 55/18 and q/2 + 255/42.
126
Let w = 64/3 - 18. What is the common denominator of w and 83/21?
21
What is the common denominator of -20/3 and 845/(-150) + 1/6?
15
Let u(n) = 74*n**2 - 2*n - 2. Let a be u(-5). Let d = a + -11269/6. What is the common denominator of d and -83/36?
36
Let k = -46031/6 + 7655. What is the common denominator of -13/12 and k?
12
Suppose -19*b + 183 = -7. What is the lowest common multiple of 6 and b?
30
Let j = -113852/29 - -3927. What is the common denominator of 6/5 and j?
145
Let v = -68 - -88. What is the smallest common multiple of 232 and v?
1160
Suppose -5*s - 5*o - 33234 = 2616, -3*o - 3 = 0. Let z = s + 57427/8. Find the common denominator of z and 89/10.
40
Find the common denominator of -50/17 and (-201)/(-20) - 2/(-24)*-9.
170
Let h = 28 - 5. Let u be 1*(2/(-1) + h). Calculate the least common multiple of (2 + (-8)/6)*u and 20.
140
Suppose -2*x - 2*l + 110 = 0, -4*x + 2*l + 268 = x. Calculate the lowest common multiple of x and 18.
54
Calculate the lowest common multiple of (9 + 7)/(1/1) and 22.
176
Let x be (2 + -2)/(2 - 1). Let t be -3 - (-4)/(x - -2). Let d = 0 - t. What is the smallest common multiple of 5 and d?
5
Let j = 18 - 33. Let h = j + 19. Calculate the lowest common multiple of h and 9.
36
Let k = 778/33 + -65/3. Let u be (15416/(-20) - 3) + -2. Let y = 765 + u. Calculate the common denominator of y and k.
55
Suppose 5*o - 6 + 41 = 0. Suppose z - 11 = u, -3*z - 7 = -2*u - 37. What is the lowest common multiple of 40/7 - 2/o and z?
24
What is the smallest common multiple of ((-10)/(-25))/(2/60) and (12/(-14))/(4/(-56))?
12
Let a = 17 - 499/30. Find the common denominator of 47/24 and a.
120
Calculate the least common multiple of 8 and (-257)/(-4) + (-4)/16.
64
Let v = 495 - 544. Calculate the common denominator of v and ((-31)/(-5))/((-2)/(-1)).
10
Calculate the common denominator of (129/30)/((-14)/(-5)) and 31/12.
84
Let s(q) = 2*q - 8. Let v be s(7). Let b be (-4)/v*(-1 + 31). What is the common denominator of ((-297)/21)/(b/14) and -36/11?
110
Let z = -164343971779/68905520 + -1/4306595. Let f = z + 2389. Calculate the common denominator of -1/18 and f.
144
Find the common denominator of (-231)/(-18) + 3*-1 and -14/9.
18
Suppose d + 0*d = -12. What is the common denominator of d/(-20)*(-5)/2 and 2/(-8) + 66/72?
6
Suppose -5*q = -3*q + n + 13, -4*q = 3*n + 21. Let y = q - -20. What is the smallest common multiple of 5 and y?
55
Let r be (2 + (-16)/6)*3. What is the common denominator of -97/4 and (-291)/r*(-10)/(-330)?
44
Let c = -34 + 61. Let k = c + -16. Calculate the least common multiple of 3 and k.
33
What is the least common multiple of ((-4)/(-28))/(2/14) + 31 and 10?
160
Let i = -2309 - -16197/7. Let k = -1484/5 - -299. Find the common denominator of i and k.
35
What is the common denominator of 6/2 + (-685)/140 and 71/2?
28
Let t = 14089 + -676303/48. Let m = 2939/240 + t. What is the common denominator of m and -61/10?
10
Let y = -3300859/40 + 439843/5. Let r = y - 5439. Find the common denominator of 93/10 and r.
40
Let j = -438 - -663. Suppose -j = -3*o + 12. What is the common denominator of -103/22 and (-4)/(-14) - o/(-42)?
66
Let f = 1206/7 - 174. Let b = 4/2255 + 123989/20295. Find the common denominator of f and b.
63
Suppose 10 = -2*j + 7*j. Suppose -