
22
Find the common denominator of 29/12 and (-4)/20 - 412/40.
12
Suppose 2*t - 4*y + 1 = 49, 0 = 4*t + 3*y - 41. Let c(f) = 6*f - 4*f - 1 - 1 + 0. Calculate the smallest common multiple of c(4) and t.
42
Let o(p) = 2*p**2 - p - 3. Let v be o(4). Let i = v - 16. Calculate the lowest common multiple of i and 8.
72
Suppose p - 44 + 38 = 0. What is the lowest common multiple of p and 24?
24
Let z(s) be the first derivative of s**4/4 + 2*s**3/3 - 2*s + 3. Let i be z(-2). What is the lowest common multiple of 2 and 1*i*(-50)/5?
20
Let y(m) = m - 4. Calculate the lowest common multiple of y(11) and 10.
70
Let z be (1/142)/(4/(-8)). Let a be 1481/(-710) + (0 - 0). Let l = a + z. Calculate the common denominator of l and -49/4.
20
Let m(p) = p**3 + p - 9. Let f be m(0). Let h = f + -11. Let a = h - -8. Find the common denominator of 40/3 and a.
3
Let j be (-1077)/(-21) + (-2)/7. Let y = j + -31. Calculate the lowest common multiple of y and 18.
180
Suppose 0 = -5*u + 3*u + 20. Let n = 6 - 5. Calculate the smallest common multiple of u and ((-2)/4)/n*-4.
10
Let w = 32692/11585 - 64/331. Let a = w + 467/70. Find the common denominator of -95/2 and a.
10
Let p be ((-492)/30)/(116/(-155)). Let t = -12/29 + p. Let i = 1/848 - 1803/848. Find the common denominator of i and t.
8
Calculate the common denominator of (-369)/324 + (-4)/(-18) and 93/10.
60
Suppose 0 = 4*d + 12 + 4, 0 = 3*x - 5*d - 32. Suppose 5*i + 3*j - 32 - 2 = 0, -22 = -x*i - 5*j. Calculate the smallest common multiple of 1 and i.
8
Calculate the least common multiple of 48/15 + 4/5 and 6.
12
Let x = 2/9587 + -488953/76696. What is the common denominator of -121/20 and x?
40
Let t = -79723827/112 + 711831. Let n = 59/16 - t. Let p = 891 + -9789/11. Find the common denominator of p and n.
77
Suppose -3*l - 3 = 2*t, -2*l - 12 = -6*l. Let k = t - -18. Calculate the lowest common multiple of 4 and k.
12
Let z = -1/297 + 5/27. What is the common denominator of z and 52/5?
55
Let t = 5263/10 + -2611/5. What is the common denominator of t and (190/20)/(-1*4)?
40
Let s = -212 + 115. What is the common denominator of 17/11 and s/(-6) - (-1 + 4)?
66
Let j = 2792/2007 - 1/446. What is the common denominator of j and -25/12?
36
Let k(p) = p + 5. Calculate the least common multiple of k(5) and 16.
80
Suppose -5*o = -4*o - 16. Let k(w) = w + 1. Let s(h) = 5*h + 5. Let b(a) = -6*k(a) + s(a). What is the lowest common multiple of b(-5) and o?
16
Calculate the least common multiple of 8/(-32) - (-13)/4 and 10.
30
Let q be -4*(-3)/24*-574. Let z = 497 + q. Calculate the common denominator of 33/7 and 4/(-14) - (-921)/z.
70
Let u be (-4)/(-12) - (-14)/(-38). Let c = u + 67/285. Let i = -18/409 - 20324/2863. Calculate the common denominator of i and c.
35
Suppose o + 0 - 2 = 0. Suppose -3*j = 4*i - 58, 4*i + o = -6. What is the least common multiple of (4*2)/((-6)/(-9)) and j?
132
Let u = -71 + 77. Calculate the lowest common multiple of 23 and u.
138
Let o(q) = q**3 + 7*q**2 - 11*q - 6. Calculate the least common multiple of o(-8) and 9.
18
Let n = -535 - -5899/11. Let p = -1134 + 5696/5. Calculate the common denominator of p and n.
55
Let l be (-8877)/(-5) + (-36)/(-60). Let d = l + -12409/7. What is the common denominator of 296/42 - (-2)/(-6) and d?
7
Suppose 9 = o - 3*m, 2*o + 2*o - 2*m = 26. What is the lowest common multiple of o and 6?
6
Suppose 4*g - 7 = 17. Suppose -4*q + g = -18. Suppose 0 = 2*o - q + 2. What is the least common multiple of 9 and o?
18
Let i = -15760 + 346659/22. Find the common denominator of i and 16/7.
154
Let r(x) = -3*x**2 - 5*x + 2. Let f be r(-5). Let q be (f/(-10))/((-1956)/(-90)). Let k = q - -3609/3586. Calculate the common denominator of 33/10 and k.
110
Let r be (-4)/10 - (-62679)/(-15). Let n = -92045/22 - r. Calculate the common denominator of n and 71/2.
22
Let s = 3 + 2. What is the least common multiple of s and 1?
5
Suppose 0*n = 5*n - 10. Let y(v) = 8*v + 9. Let j(z) = 7*z + 8. Let h(i) = -3*j(i) + 2*y(i). What is the smallest common multiple of n and h(-4)?
14
Find the common denominator of ((-52)/50)/(60/25) and -139/6.
30
Suppose 10*f - 26 = 64. Calculate the smallest common multiple of 17 and f.
153
Suppose -5*j + 46 - 36 = 0. What is the lowest common multiple of 4 and j?
4
Suppose -6*m = -3*m. What is the common denominator of 29/4 and 63/4 + -2 + m?
4
Let z = -133/22 + 1865/374. Let d = 283/187 + z. What is the common denominator of d and -69/4?
44
Let c = 0 + -3. Calculate the common denominator of (-135)/2*(-3)/30 and 58/(-33) + (-2)/c.
44
Let m = 13 - -15. Let x = -17 + m. Suppose 5 = -5*h, 4*j + h = 18 + 17. What is the smallest common multiple of x and j?
99
Let l = 7 - 1. Calculate the least common multiple of 3 and l.
6
Let n(b) be the first derivative of b**2/2 + 11*b + 6. What is the smallest common multiple of 4 and n(-9)?
4
Let r = -7 + 9. Suppose 14 = -r*b + 2*g, -g + 4*g + 24 = -2*b. What is the least common multiple of (-1 - b)/((-2)/(-3)) and 14?
84
Suppose 5*b - 47 - 58 = 0. What is the smallest common multiple of 10 and -1 - (-4)/(12/b)?
30
Calculate the common denominator of (-22)/3 - 0/(-7 - -5) and -71/3.
3
Let h(l) be the second derivative of 2*l**3/3 + l**2 - 3*l. Calculate the lowest common multiple of h(2) and 4.
20
Let s = 87 - 50. Let b = s - -4. What is the common denominator of 22/3 and b?
3
Suppose -5*s = -2*b - 51 + 8, 2*s - 22 = 2*b. Calculate the least common multiple of s and -26 + 29 - 5/(10/(-12)).
63
Let x = -38 - -55/4. What is the common denominator of 33/14 and x?
28
Let j be (-3944)/6 + 8/24. Let f = j + 5249/8. Calculate the common denominator of -3/16 and f.
16
Let l be (-1)/(3/6)*1. Let p = l - -2. Suppose -1 = r + 2*b, 4*r + 0*b + b - 10 = p. What is the least common multiple of 3 and r?
3
Let t(o) = -o**2 + 6*o - 1. Let r be t(6). Find the common denominator of -97/2 and (r - -1) + 65/16.
16
Suppose -4*j - 5 - 15 = 0. Let d(r) = -r + 3. Calculate the least common multiple of 51/5 + (-1)/5 and d(j).
40
Suppose g - 70 = -2*s - 3*g, 2*s + 3*g - 73 = 0. Let l = s - 11. What is the common denominator of -16/9 and (72/(-10))/(6/l)?
9
Let d(i) = 2*i**3 + i + 1. Let c(a) = a - 6. Let s be c(5). Let f be d(s). What is the common denominator of 69/16 and 1/(-28)*284/f?
112
Let s(t) = -t**3 - 4*t**2 + 4*t + 5. Let z be s(-5). What is the common denominator of (-5)/z*31/4 and 60/9 - 4/(-2)?
24
Let q(x) = -3*x + 24. Let r(z) = -2. Let p(u) = 2*q(u) + 22*r(u). Suppose -j + 4*j = -9. Calculate the least common multiple of 12 and p(j).
132
Let w be (2/4)/((-12)/(-7236)). Let t = 335 - w. Find the common denominator of (171/6)/((-14)/4) and t.
14
Let u = 39814496723/11590660 + -9/1159066. Let t = -3429 + u. What is the common denominator of -65/6 and t?
60
Calculate the common denominator of (-21)/28 - 247/(-60) and (-42)/(-10)*(-51)/18.
30
Suppose 6 = -3*b - k + 35, -2*b + 11 = -k. Calculate the smallest common multiple of 42 and b.
168
Calculate the common denominator of -21/2 and ((-2)/5)/(16/(-230)).
4
Let k = 95421/14 + -6813. Let c = 4248 - 51023/12. Calculate the common denominator of k and c.
84
Let z(h) = 3*h**2 - 14*h - 14. What is the least common multiple of z(6) and 42?
210
Suppose 8*d - 9*d - 1720 = 0. Let z = -311505/17 + 2823551/170. Let n = z - d. Find the common denominator of 53/4 and n.
20
Let z = -1 - -6. Let s be 2/3 - 17/3. Calculate the least common multiple of z and 138/15 - (-1)/s.
45
Let t = -8 + 22. Calculate the common denominator of t/8 - (-2)/(-3) and -13/14.
84
Let y = 0 + -7. Let r = 1 - y. Calculate the least common multiple of 3 and r.
24
Suppose 0 = w - 4 + 2, 3*m = 4*w - 20. Let v = 0 - -8. Calculate the least common multiple of m/14 + (-144)/(-14) and v.
40
Let k(c) = c**3 - 4*c**2 + 4*c - 2. What is the lowest common multiple of 17 and k(3)?
17
Calculate the common denominator of (-97)/12*22/(-11) and -79/30.
30
Suppose -5*q - 4*w = -78, q + w = -4 + 19. What is the lowest common multiple of q and 10?
90
Let x = 6 + -4. Suppose -x*b = b - 36. What is the least common multiple of b and 2?
12
Let i = 3507 + -13951/4. Let s be ((-3)/(-4))/((-9)/(-321)). Let t = s - i. What is the common denominator of 85/6 and t?
6
Suppose -s + q + 3 = 0, -6 = -4*s - 0*s + q. What is the lowest common multipl