minator of (-2)/1 - (-54)/22 and 53/2.
22
Let x(d) = -d - 1. Let o be x(2). Let l = o - -4. Find the common denominator of 85/8 and -2 - l*(-34)/40.
40
Let l = 152 - 134. Calculate the least common multiple of l and 20.
180
Let d be (8 + -1)*6/7. Calculate the common denominator of -14/9 and ((-105)/12)/(d/(-4)).
18
Suppose -3*g - 24 = -3*a, 0*a = -a - 3*g + 24. What is the smallest common multiple of a and 14?
84
Suppose z - 3 = -40. Let n be z/(-7) + (-12)/42. Suppose 4*x = 2*x - v - 76, 2*x - n*v + 64 = 0. Calculate the common denominator of x and 19/2.
2
Let y = -83 + 85. Let j = 45 - 23. What is the lowest common multiple of y and j?
22
Calculate the common denominator of 131/18 and (-146)/396 - (-10)/(-45).
198
Let i be -2*1*(1295 + 18). Let b be 1 - -22*2847/24. Let n = b + i. What is the common denominator of n and -75/22?
44
Find the common denominator of 41/2 and 1/4 + 153/(-48).
16
Suppose -19 + 4 = -3*d. Suppose q - d = 2. Suppose 4*k - q = 17. Calculate the least common multiple of 22 and k.
66
Let n(m) = -3*m + 2. Let a be n(2). Calculate the common denominator of 10/a*13/(-25) and -10/9.
90
Suppose -h + 52 = 4. What is the common denominator of 396/h + (1 - 1) and (-30)/(-9)*6/22?
44
Let x(m) = -m**2 - 7*m + 10. Suppose -2*s = 6 + 10. Calculate the lowest common multiple of x(s) and 8.
8
Suppose 3*z - 7*z = -16. Let j = -17593/20 + 885. Calculate the common denominator of j and 1932/(-216) - z/(-6).
180
Suppose -2*b = -a + 32, 3*b = 5*a + 5*b - 100. What is the least common multiple of a and 16?
176
Suppose 7*n + 3*q - 150 = 3*n, 0 = -n + q + 41. Find the common denominator of 43/3 and n.
3
Let l = -4963/2438 + 44/23. What is the common denominator of -23/8 and l?
424
Calculate the common denominator of 34/7 and ((-9)/18)/(7/20).
7
Let s = -20 - -22. Let z be 1 - 29/(1 + 0). Calculate the lowest common multiple of z/(-8) + s/(-4) and 1.
3
Let b(p) = 7*p - 1. Let c(s) = s - 3. Calculate the smallest common multiple of b(1) and c(7).
12
Suppose -8*w = -4*w + 4372. Let i = 22286/7 + -29571/14. Let y = i + w. Find the common denominator of y and 97/20.
20
Suppose 0 = 2*l - 2. Suppose 0 = 4*d - 4*t + 4, -5*t + 4 + l = d. Suppose d*q + 2*q - 2 = 0. What is the lowest common multiple of q and 1?
1
Calculate the common denominator of (-198)/16*(-3)/18 and 39/14.
112
Suppose 44 = v - 4*z - 124, 3*z - 3 = 0. Suppose 4*n - 3*s - 114 = n, -5*n + v = 4*s. Find the common denominator of ((-30)/36)/((-3)/2) and n.
9
Suppose -2*v = -9 - 11. Suppose 0 = 2*b + 4*y + 4, -2*b = b - y - 22. What is the smallest common multiple of v and b?
30
Suppose 4*l - 17 = 3*x, -2*x - 3 - 1 = l. Let n = -2 - -9. Let u = 3 + n. Calculate the smallest common multiple of l and u.
10
Let c be 2/(-5) + (-7337)/(-30). Let u = c - 4955/21. Calculate the common denominator of u and 0 - (-88)/10 - 31/(-62).
70
Suppose 3*c - 4 = c. What is the smallest common multiple of c and 40/24 + (-4)/6?
2
What is the least common multiple of 1 and (-5)/(-3)*(5 - 2)?
5
Let h = 6315/8 + -3111/4. Calculate the common denominator of h and -5/4.
8
Let y(z) = z**3 + 9*z**2 + 7*z + 6. Let c be 5/(-20) + 62/(-8). Calculate the smallest common multiple of 18 and y(c).
126
Let m be 78 + (-1 - (-1 - 2)). What is the common denominator of ((-5)/m)/(1/29) and -43/8?
16
Suppose 4*v = -4*w - 140, 4*w - 2*w = -5*v - 79. What is the smallest common multiple of 8 and (-152)/w - 1/(-4)?
40
Let f be 2/8 + 95066/2040. Let c = f - 6828263/510. Let r = c + 13330. What is the common denominator of r and 111/22?
110
Let u = 27 + -6. Let q be 330/u + 2/7. Suppose w = 2*w - q. Calculate the smallest common multiple of w and 8.
16
Let z = 1/34173 - 3178109/683460. Suppose -5 = t - 13. Find the common denominator of z and 2 - ((-170)/t + -2).
20
Let i = -11 - -17. Calculate the lowest common multiple of 7 and i.
42
Suppose 0 = -2*s - 4, 0 = -4*h + 3*s + 606. Calculate the lowest common multiple of 10 and h.
150
Let f = 251 + -243. What is the smallest common multiple of -7*(0 - 3) + 1 and f?
88
Let v = 20 - 14. Calculate the smallest common multiple of v and 6.
6
Let t = 3753 - 86295/23. Let x = t + 501/115. What is the common denominator of 49/2 and x?
10
Let m(r) = r**3 + 5*r**2. Suppose 3 = 5*s + 38. Let b be m(s). Find the common denominator of 0 + -1 + b/(-4) and -25/12.
12
Let u = -12061/771 + -6/257. What is the common denominator of u and ((-54)/(-33) + -3)*6/(-15)?
33
Let x be 25/1*6/5. Let v = x + -12. What is the least common multiple of v and 18?
18
Suppose p + 4*p = -3*k + 43, -8 = -4*p. Suppose 0*m = -4*m + 20. Suppose -2*d - 6 - 1 = -m*n, 19 = 4*d + n. Calculate the smallest common multiple of k and d.
44
Suppose 0 = z - 0*z - 3*c + 4, -5*z + 4*c + 13 = 0. What is the lowest common multiple of z and 10?
10
What is the smallest common multiple of ((-16)/(-6))/(16/12 + -1) and 18?
72
Suppose -3*p = -4*p + 20. Let q(i) = 7*i**2 + 5*i + 12*i**3 + 3*i**3 - 14*i**3 + 4. What is the lowest common multiple of q(-6) and p?
20
Let c = 52 + -48. Calculate the lowest common multiple of c and (-2)/7 - (-142)/7.
20
Let g = 126/193 - 18539/3860. Let l = 2136 + -17119/8. Calculate the common denominator of l and g.
40
Let m = -1150 + 5718/5. Let t be -1 - (7 - 0) - 1. What is the common denominator of (18/21 - 1)*t and m?
35
Suppose 12 = -3*c + c. What is the common denominator of 69/4 and 638/48 - (-4)/c?
8
Let g = 33 + -25. What is the smallest common multiple of 9 and g?
72
Suppose h + 24 = 4*h. Suppose 4*q = -5*x - 17 - h, 3*q + 17 = -2*x. Calculate the common denominator of 23/14 and q + 2 + (-78)/44.
154
What is the common denominator of (-1)/5 - (-705)/(-100) and 111/10?
20
Let m(k) = k - 8. Let x(c) = 2*c**2. Let b be x(-2). Let r be m(b). Suppose r*g = -q - 2*g + 1, 0 = -g - 4. What is the smallest common multiple of q and 6?
18
Let r(m) = 5*m**2 + m. Let v be 1 - (0 - 6)/(-2). What is the least common multiple of r(v) and 4 + 6 + 2 - -4?
144
Suppose -2*z = -2*j + 3*j - 8, -5*j = 2*z - 8. What is the lowest common multiple of z and 16?
16
Let q be 2/(-11) - (-910005)/185900. Let x = -129/169 + q. Calculate the common denominator of x and -59/20.
20
Let j = 1078 + -770. Let l = -6907/5 - -27727/20. Calculate the common denominator of l and (j/(-30))/(16/12).
20
Let y be 2/7105780*(-185184232)/304. Let f = y - -21/129196. Let a = 1/95 - f. What is the common denominator of 8/9 and a?
99
Suppose 0 = 2*j + 3*j - 15. Suppose b + 3*b - 91 = j*p, 2*p + 2 = 0. Let m(f) = -f + 6. Calculate the smallest common multiple of b and m(-6).
132
Suppose -u - 47 = -2*h + 4*h, -4*h = u + 49. Calculate the common denominator of u and 5/2*(-69)/(-20).
8
Let o(c) = -115260*c - 6. Let h be o(-6). Let y = 60166055/87 - h. Let v = -14/29 - y. Find the common denominator of 37/11 and v.
33
Let s be 10/(-35) - 18/(-14). Let m = s + -1. Calculate the common denominator of m + (61/14 - 0) and -93/22.
154
Let y = -17268 + 517931/30. What is the common denominator of 37/15 and y?
30
Let n = -3876 + 61997/16. Calculate the common denominator of -101/12 and n.
48
Suppose 0 = -m + 4, -8 = -2*a + 4*m. What is the smallest common multiple of 24 and a?
24
Calculate the common denominator of 4 - (1 + 59/(-8)) and -49/6.
24
Let z = -15 + 17. Calculate the lowest common multiple of (40/(-28))/((-1)/7) and z.
10
Let f = -353768/17 + 3591817/238. Let w = 15260 + -9534. Let a = f + w. Calculate the common denominator of a and -125/12.
84
Suppose 4*r - 109 = -21. What is the smallest common multiple of r and 20?
220
Suppose -2*i - 8 = 16. Find the common denominator of 138/60 + (1 - 0) and i/14*49/40.
20
Suppose 0*f + 5*f = 0. Let l = f - -5. Suppose -l*p = -0 - 10. What is the least common multiple of 4 and p?
4
Suppose 3*h - 90 = -2*h. What is the least common multiple of 8 and h?
72
Suppose 0 = 2*r + 3*z - 5, -2*r = 2*r - 2*z - 50. What is the smallest common multiple of r and 7?
70
Let w = -2764/387 - -30/43. Let n be (-3712 + -2)*(-4)/12. Let m = n - 9991/8. Find the common denominator of w and m.
72
Let a = -1/902 + 29317/1804. What is the common denominator of 4/6*174/64 and a?
16
Let i = -22 + 56. Calculate the smallest common multiple of 11 and i.
374
What is the common denominator of -21*((-6)/(-20))/3 and 2/(-13) - (-361)/(-104)?
