 1.
63
Let o be (-1 - 0)/((-10)/(-30)). Let n(g) = g + 7. Calculate the smallest common multiple of n(o) and 3.
12
Let w = -196/51 - 1835/102. Calculate the common denominator of 39/16 and w.
48
Let m = 89270539/20 - 4468796. Let f = m + 5275. What is the common denominator of f and 7/12?
60
Let p = -66 + 74. Calculate the least common multiple of p and 6.
24
Let x = -1127/4 + 2221/8. What is the common denominator of x and ((-548)/36 - -7)/(16/(-6))?
24
Let m = -7 - -52. Calculate the least common multiple of m and 9.
45
Let y = 11 + -5. Calculate the least common multiple of 1 and y.
6
Let f be 1259089060/85*(-2)/(-12). Let u = -828488907493/335580 + f. Let o = u + 2/1645. Calculate the common denominator of o and -33/14.
28
Let p = 50044/9 - 5568. Calculate the common denominator of p and 31/11.
99
Suppose -4*l = 5*m - 179 - 11, -l = -5. Let x = m + -20. Calculate the least common multiple of x and 12.
84
Let h = -2 - -10. Calculate the smallest common multiple of h and 26.
104
Suppose 0 = 2*f - 3*f + 14. Let r = 50 + -42. Calculate the smallest common multiple of r and f.
56
Let c = 17 + -12. Suppose 0*u - u = 5*x - 25, 0 = 2*x - c*u - 10. Calculate the lowest common multiple of 7 and x.
35
What is the common denominator of -79/18 and ((-110)/12)/(1 + 1)?
36
Let h(a) = -a**2 - 2*a - 1. Let y be h(2). What is the common denominator of 29/(-12) + 2/(-6) and y/24*28/11?
44
Let r(a) = 4*a + 20. Calculate the smallest common multiple of r(0) and 20.
20
Let q = -46532/9 + 5165. Let i = -11833/14 - -1701/2. What is the common denominator of i and q?
63
Let b = -298/59 + 9075/944. Let t = 1045/24 + -167/3. Calculate the common denominator of t and b.
16
Suppose -h = -5, 3*c + 5*h = -c + 49. Let a(r) = -r**2 + 6*r + 8. Suppose 3*y = -0*y + 24. What is the smallest common multiple of y and a(c)?
8
Suppose -17 = -4*b - 1. Suppose b = -t + 3*t. What is the common denominator of 151/18 and (23/15)/(t/3)?
90
Let f(g) = -g**2 - g + 1. What is the least common multiple of 1 and f(0)?
1
Suppose -2*r - 4 = -2*v, -r - r = 4*v + 16. Let y be v*(1 + (-21)/6). Suppose 0 = 3*q - 1 - y. What is the lowest common multiple of q and 12?
12
Let g(s) = -s**3 - 6*s**2 - 6*s + 1. Let w be g(-5). Suppose w*p = 8*p - 8. Calculate the least common multiple of p and 4.
4
Let i = -26761 - -1284445/48. What is the common denominator of i and 49/33?
528
Let u = 20380 - 204107/10. Let z = 939/20 + u. Find the common denominator of z and -49/9.
36
Let l = -3367/3196 + 35/47. Let o = 2623/204 - l. What is the common denominator of o and -7/20?
60
Suppose 2*b = 7*b. What is the lowest common multiple of (-2 - (3 - 5)) + (-4)/(-2) and (b + -1)*-3*1?
6
Let u(b) = 7*b + 20. What is the smallest common multiple of 8 and u(-2)?
24
Suppose 11*z = 12*z - 16. Calculate the lowest common multiple of z and 36.
144
Let r = -6772/3 - -13651/6. Find the common denominator of 3 + 1 - (-120)/(-18) and r.
6
Suppose x = -z + 5*z, 0 = 2*z - x. Suppose -5*j = -z*j + 45. Calculate the least common multiple of 2 and (0 - -2) + -3 - j.
8
Suppose -5*d = -3*x + 47, 6 - 22 = -x + 2*d. Suppose 27 + 3 = 3*s. What is the least common multiple of x and s?
70
Let h be (-1685)/(-111) + 4/8. Let l = 56/37 - h. Let f = -1501/72 + 236/9. Find the common denominator of l and f.
24
Suppose -1 = l + 2*b - 9, 2*b - 8 = -2*l. Suppose 4 = -l*n + 2*n. What is the least common multiple of n and 10?
10
Let i = 4376619467041/2854 + -1533503636. Let a = i + 2/1427. What is the common denominator of a and -46?
2
Let x be 4/14 + 66/14. Suppose 2*u = -4*n, 5*n - x*u - 23 = -8. What is the common denominator of -85/16 and 158/(-8) + 1 - n?
16
Let b = -5903 + 106403/18. Calculate the common denominator of -13/4 and b.
36
Let x(w) = 24*w - 6. Suppose -5*h + 9*h - 12 = 0. What is the lowest common multiple of x(h) and 14?
462
Let o = 46115/11 - 4195. Suppose 0 = 4*x - 8 - 4. Suppose -x*g - 27 - 84 = 0. What is the common denominator of o and g?
11
What is the common denominator of (-164)/(-72) + 3 - -1 and -59/32?
288
Let l = 6 - -21. Calculate the least common multiple of 3 and l.
27
Let f = 18 + -13. Calculate the lowest common multiple of f and 3.
15
Calculate the lowest common multiple of 1 and (4/(-10))/(1/(-25)).
10
Suppose -13 + 5 = -5*b - 2*y, -4*y + 6 = 5*b. Suppose b*x = x. Suppose x*r = -4*r + 24. What is the smallest common multiple of 14 and r?
42
Let r = 8 - 9. Let t be ((-12)/(-14))/(r/7). Calculate the common denominator of 94/(-16)*t/(-15) and -53/6.
60
Let p = -36/155 - -1507/6355. Let r = p - -401/1845. What is the common denominator of -23/6 and r?
18
Let a = 11 + -6. Let k = -3 + a. Suppose 3*j - 28 = -j. What is the lowest common multiple of j and k?
14
Find the common denominator of 23/6 and (195/(-24))/(5/10).
12
Suppose -2*c = c - 19008. Let z be c/10 + 6/15. Let m = -3226/5 + z. What is the common denominator of m and -58/7?
35
Find the common denominator of 3 - ((-125)/40 - 4) and (-4)/(-14) + 309/(-77).
88
Suppose -2*o + 256 = -0*o. Find the common denominator of o/154 + (-14)/49 and ((-22)/(-36))/((-2)/8).
99
Let m(o) be the first derivative of -o**4/4 - 11*o**3/3 - o**2 - 6*o - 6. Calculate the lowest common multiple of m(-11) and 4.
16
Let s(z) = z**3 - 1. Let n(v) = -v**3 - 5*v**2 + 5. Let q be n(-5). Suppose -4*d = q - 49. Calculate the lowest common multiple of s(2) and d.
77
Let a be 2/5 + (-9)/(-15). Let b = a + 3. Let v = b - 40. Find the common denominator of v and -23/7.
7
Let m be 14/84822 - (-2 + 2). Let j = m + -218968028/212055. Let v = -31333/30 - j. Find the common denominator of 125/6 and v.
6
Let w = -3542 - -795. Let n be (577575/42)/(-5) + 2. Let j = w - n. What is the common denominator of 27/8 and j?
56
Let l = -667/90 - -73/9. Let n = -2887/10 + 288. Calculate the common denominator of l and n.
10
Calculate the common denominator of 3/21 - (-12)/(-102) and -7/3.
357
What is the least common multiple of (-8)/(-3)*(4 + -1) and 18?
72
Let z(t) = t - 27. Let y be z(0). What is the common denominator of 2 and (-742)/180 + (-6)/y?
10
Let s(q) = -17*q**3 - q. Let p be s(-1). Suppose -3*n + p = -0*n. Find the common denominator of (-8)/(-30)*n/(-4) and -69/10.
10
Suppose 0*f = 9*f - 108. Calculate the lowest common multiple of f and 20.
60
Let d = 37/109 + -6409/8284. What is the common denominator of 89/22 and d?
836
What is the common denominator of 2343/22*2/12 and 194/(-20) - 2/5?
20
Let h = -17807/8 + 2215. Calculate the common denominator of h and 23/9.
72
Let q(m) = -m**3 + 3*m - 4. Suppose 0 = -4*j - j + 180. Calculate the smallest common multiple of q(-3) and -3*(-2)/12*j.
126
Suppose -12*z + 15*z - 36 = 0. What is the lowest common multiple of 0 + 21 - (-2 - -3) and z?
60
Suppose 2*t - 15 = 3. Let j = 0 + 1. Let u = 4 + j. What is the least common multiple of u and t?
45
Suppose -2*q - 6 - 2 = 0. Let s(h) = h**3 + 5*h**2 - h - 2. Let t be s(q). Calculate the common denominator of 41/5 and (2 - (-3)/t)*-7.
30
Let q(i) = i**2 - i + 12. Let y be q(0). Suppose -4*d + 0*d - y = 0. Calculate the lowest common multiple of 11 and d*3/(18/(-16)).
88
Let d(k) = -11*k + 3. Let f be d(2). Let q = -17 - f. Suppose 3*b + 0*b + 33 = 5*y, 3*y - 3*b = 15. What is the least common multiple of q and y?
18
Suppose y + y - 16 = 0. Let z = -4 - -6. Let w = 1 + z. What is the lowest common multiple of w and y?
24
Let w(x) = x - 1. Let k be w(2). Find the common denominator of 3/9*68*k and ((-28)/(-18))/(2/(-21)).
3
Suppose 0 = -2*r + 4*r - 8. Suppose 4*k = r*f + 28, 3*k + 2*f - 2 - 14 = 0. Let u(w) = 21*w**2 - 1. What is the least common multiple of u(1) and k?
60
Let n = 24409/6 + -4090. What is the common denominator of -35/16 and n?
48
Let c(b) = -b**2 - 6*b. Let u be c(-5). Suppose y - u = -4*y. Calculate the smallest common multiple of ((-5)/(-2))/(y/2) and 7.
35
Let v(x) = x**2 + 3*x - 2. What is the least common multiple of 18 and v(-4)?
18
Let f(y) = -y**3 - 12*y**2 + 11*y - 14. Calculate the lowest common multiple of 10 and f(-13).
60
Calculate the common denominator of 460/6*9/72 and 23/12.
12
Let f = -158 - -239. Let v(q) = -3*q + 60. Let t be v(19). Calculate the least common multiple of 9 and 2/t*f/6.
9
Let l = -5585/11 + 510. Calculate the common denominator of l and -56/3.
33
Let p