0
Let r be 1915/(-330) + (-2)/(-12). Let t = r + -63/22. Find the common denominator of t and 29/10.
10
Let p be 4/(-136)*(-74)/(-12). Let r = -1/68 - p. What is the common denominator of r and (6/(-4) - -2)*-7?
6
Let d = -135 + 635/4. Calculate the common denominator of 1 - (-86)/(-18) - 1 and d.
36
Calculate the common denominator of 45/8 and 105/(-10)*4/(-5).
40
Suppose 0 = -3*m - 4*l + 1, 4*m - 3*l + 3 = -4. Let g = m - -12. Calculate the smallest common multiple of 11 and g.
11
Suppose 13*a = 18*a. Suppose 3*r + 2*x - 4*x = 48, a = 3*r - 5*x - 57. Calculate the smallest common multiple of 18 and r.
126
Let t = 7 + 5. Suppose 0 = 4*a - 4 - t. Suppose 3*k = 2*k + a. What is the smallest common multiple of 4 and k?
4
Calculate the least common multiple of 5 and 4/10 - 301/(-35).
45
Suppose 0 = q + 24 - 176. What is the common denominator of (-15)/(-10)*q/18 and -27/7?
21
Let q(n) = n**2 - 9*n + 9. Let d be q(9). What is the least common multiple of d/(-2)*10/(-15) and 4?
12
Let p = 49/41 + 437/492. Find the common denominator of -18/7 and p.
84
Let f = -33 - -60. Let i be 23 + 1 + (1 - 0). Calculate the common denominator of f and (1/i)/((-4)/(-170)).
10
Calculate the common denominator of 115/6 and ((-7)/(-168))/((-3)/78).
12
Let k = -55 + 39. What is the common denominator of 2/k*118/4 and 23/2?
16
Let h(d) = -d + 10. Let n be h(7). Suppose 0 = n*b - 4*b. Let r = 1 - b. Calculate the smallest common multiple of 2 and r.
2
Let o = -478538/19 + 138828327/5510. Let l = o + -52/29. Let p = -6 + 7. Calculate the common denominator of p and l.
10
Suppose 3*v = 20 - 8. What is the common denominator of (-15)/(-66) - v/(-22) and 15/2?
22
Let j = 27/12517 - -53622693/62585. Let h = -845 + j. What is the common denominator of 101/4 and h?
20
Suppose -5*j + 3*c = -7, -5*j - c + 11 = -0*j. Calculate the least common multiple of j and 3.
6
Let j be (-1)/6 + 3/18. Suppose 3*a + 30 = -j*a. Find the common denominator of (1/(-2))/(a/(-116)) and 79/2.
10
Let r = -885 + -427. Let p = r - -10429/8. Calculate the common denominator of p and 83/18.
72
Suppose -l - 6 = -3*l. Suppose -2*j - 37 = -4*j + u, -2*j = l*u - 49. Calculate the smallest common multiple of j and 16.
80
Suppose -1 - 3 = -s. Let u(v) = -v**3 + 4*v**2 - 2*v - 2. Let k be u(3). Let z = 11 - k. Calculate the least common multiple of z and s.
20
Let y(x) = -4*x - 3. Let g be y(-7). Let a be (-4)/18 - g/9. Calculate the common denominator of 11/2 and (-47*a/(-33))/(-2).
22
Let k(w) = w**2 - 5*w + 4. Let j be k(4). Suppose j - 60 = -3*c. What is the smallest common multiple of c and ((-36)/14)/((-2)/14)?
180
Let w be (-4)/(-6) - 14/3. Calculate the common denominator of (-508)/12*(-1)/w and 6/(-4)*380/132.
132
Let j = 22 + -15. Let h(f) = -f**2 + 4*f. Let l be h(3). Suppose m + 1 = 4*y - 10, 4*y + l*m = -1. Calculate the lowest common multiple of y and j.
14
Let m be (-278)/1096 - (-5)/20. Let f = m - 6231/685. What is the common denominator of f and -39/2?
10
Suppose 3*s + 70 = -128. Let b = -9 - -16. Calculate the least common multiple of b and (-2)/11 - 408/s.
42
Let t(r) = r - 1. Let q be t(0). What is the common denominator of 5 + -3 + (-22)/(-8) + -3 and 119/12 + (-1 - q)?
12
Let o = -4083/16 + 255. Let z = 3589/1540 + 3/154. What is the common denominator of z and o?
80
Calculate the common denominator of 19/14 and ((-1)/(-15))/(8/(-372)).
70
Let o be 3/3*(17 - 0). Suppose 7*a - 45 = -o. Calculate the least common multiple of 10 and a.
20
Let w = 6595 - 39421/6. Let k(m) = -46*m - 5. Let o be k(-6). Find the common denominator of w and (-4)/(-20) + o/20.
12
Let q be (6/(-4))/((-24)/32). Suppose q*p = 5*p - 9. Suppose 3*m - 7 = -p*a + 5, -2*a + 11 = 5*m. What is the least common multiple of 9 and a?
9
Let s = -17 + 29. Suppose w - 30 = 2*u, -w - u + 4*u + 29 = 0. What is the lowest common multiple of s and w?
96
Let j = -1 + 4. Suppose j*g = 53 + 1. What is the smallest common multiple of 22 and g?
198
Let f = -6531/220 + 315/11. What is the common denominator of f and -45/4?
20
What is the smallest common multiple of (((-1125)/(-6))/(-5))/(3/(-4)) and 12?
300
Let d(f) = 2*f - 3. Let v be d(3). Let z be ((-9)/v)/3*-73. Calculate the common denominator of z/9 - 2/12 and 15/2.
18
Let m = 38507368075/83277 - 462401. Let k = m - -85692037/166554. Let x = -503 + k. Find the common denominator of 121/6 and x.
6
Let c = 3 - 9. Let y be 2/6 - (-26)/c. Calculate the least common multiple of y + 2 + 11 + -1 and 5.
40
Suppose -c + 3*h = -93 - 100, 589 = 3*c + h. Suppose -4*q - 4*l = 32, -q - 8 = 2*l - 2. What is the smallest common multiple of 10/25 - c/q and 14?
140
Let t = 477/2 - 256. Find the common denominator of (98/(-30))/(4/(-10)) and t.
6
Suppose 2*z + 2 = 3*z, -2*f + z = -66. Suppose 0 = 3*p + 3*l + 48, -f = p + 3*p - 2*l. Calculate the smallest common multiple of 8 and p/(-3) + (-1)/(-3).
8
Suppose -3*f - 60 = 2*f. Calculate the common denominator of 69/20 and (-474)/20*10/f.
20
Let s be (2241/6)/1 - -1. Let r = -398 + s. Calculate the common denominator of 2 - (14 + (-1)/(-1)) and r.
2
Let m(c) = c**3 + 5*c**2 - 2*c + 7. Let s be m(-6). Let n be (4/(-6))/(10/75). Let q = n - s. What is the least common multiple of q and 8?
24
Let f = -902107/81270 + 1/8127. Suppose 3*w - 31 = -139. What is the common denominator of f and -2 + 3 + 375/w?
60
What is the smallest common multiple of 6 and (-12 - 0)*30/(-45)?
24
Let v(d) = 3*d - 7. Let r be v(5). Let h = -3 + r. Let u(f) = -f**3 + 5*f**2 + 16*f - 11. Calculate the smallest common multiple of u(7) and h.
15
Let i be (-87)/15 + (-3)/15. Calculate the smallest common multiple of 10 and i*(-2 + (-2)/(-3)).
40
Suppose 5*m + 32 = -78. What is the lowest common multiple of 7 and m/(-5) - 4/10?
28
Let d(m) = -2*m + 1. Let o be d(-7). Suppose -2*i + o = 3*i. What is the common denominator of 17/8 and ((-142)/88)/(i/6)?
88
What is the common denominator of (99/(-44))/(30/(-11)) and -47/20?
40
Calculate the common denominator of -13/8 and (13 - 17) + (-45)/(-4).
8
Suppose -4*l - 4 = -0. Let j = l - 1. Calculate the lowest common multiple of 4 and (-4)/j*-1 + 10.
8
Let y = 83/5 - 1481/60. Calculate the common denominator of y and 93/22.
132
Let t(q) = -4*q + 2. Let c be t(1). Calculate the common denominator of 114/(-4) - (3 + c) and 91/6.
6
Let h = -8 - -19. Suppose -h - 9 = -t. Calculate the lowest common multiple of t and (-63)/(-4) - 7/(-28).
80
Suppose -4*p - 5*u + 22 = 0, p - 3*p = 2*u - 12. What is the lowest common multiple of p and 9?
72
Let m(f) = -f**2 + 8*f - 9. Let w be m(7). Let x = w + -1. Suppose 7*s - 2*s = -r + 210, -2*s - 3*r + 84 = 0. Calculate the common denominator of s and x.
1
Let y = -1001 - -10023/10. Suppose -5*r + 4 = 2*d - 4, -3*d + 12 = -4*r. Suppose -a + 0*a + 34 = r. Find the common denominator of y and a.
10
Suppose -4*j = -20 - 8. What is the least common multiple of j and 5?
35
Let p = 5 + 12. Suppose -p = -3*q + 13. What is the smallest common multiple of q and 8?
40
Let k be (-1 - -2 - 2) + -1. Calculate the lowest common multiple of (k - (-3 + -1)) + 8 and 3.
30
Let p = -293/56 + 41/7. Find the common denominator of p and 113/10.
40
Let x(q) = q**3 - 8*q**2 - 12*q + 10. Let d be x(9). Let o = d + 25. What is the least common multiple of 3 and o?
24
Let t = 9907/234 + -619/13. Let o = -22/29 - 1127/464. Calculate the common denominator of t and o.
144
Let u = 11 - 5. Let v(y) = -y**2 + 10*y - 10. Calculate the least common multiple of u and v(8).
6
Let x(p) = -p**3 - 5*p**2 - p + 7. Let q = 4 + -2. Suppose v + 15 = -q*v. What is the least common multiple of 16 and x(v)?
48
Let b(z) = -2*z**2 + 5*z - 2. Let j be b(3). Let k(c) = -2*c - 1. Calculate the least common multiple of k(j) and 1.
9
Let z(u) be the third derivative of -u**5/60 - u**4/4 - 2*u**3/3 - 2*u**2. Let q be z(-6). Calculate the common denominator of 91/2 and 0 - q/(80/(-9)).
20
Suppose -2*v + 11 = v + 5*g, -4*v + 5*g + 3 = 0. Calculate the smallest common multiple of 9 and v.
18
What is the common denominator of 1094/56 + (-12)/42 and 75/8?
8
Calculate the common denominator of (-73)/(-80) + (-2)/(-5) and ((-1)/((-88)/(-279)))/(12/(-16)).
176
Suppose w - 42 = -2*w. What is the smallest common multiple of 106 and w?
742
Let a = -1/97070 - 37841/958080