 -5*w - 69 = -3*b, 4*w + 67 = -2*b + 3. Let t be (-3 - -3) + (2 - 0). Calculate the lowest common multiple of 16 and t/6 + (-25)/w.
16
Suppose 0*f = -2*f - 32. Let w = f + 10. Find the common denominator of 17/4 and (w/(-20))/((-16)/(-420)).
8
Calculate the common denominator of (-27)/(-4) - (-80)/60 and -23/3.
12
Let r be (-17176641)/2436420 + (-2)/(-2). Let f = r + -2/40607. What is the common denominator of (-57)/(-20) - (-1)/(-1) and f?
20
Let w be -2 - -6 - 84861/70. Let s = -1206 - w. What is the common denominator of -7/22 and s?
110
Let o = 11 + -17. Let t be ((-12)/10)/(o/20). What is the least common multiple of 7 and t/18 - (-194)/18?
77
Suppose 3*f + f = 44. What is the lowest common multiple of 4 and f?
44
Let a = -29 - -50. Find the common denominator of -22/3 and (40/(-3))/((-77)/a).
33
Let d(o) = -o + 2. Suppose 0 = 23*x - 26*x + 15. Calculate the smallest common multiple of d(-4) and x.
30
Suppose 19*a - 24*a + 60 = 0. What is the lowest common multiple of a and 30?
60
Suppose -3*u - 2*n = 2, -5*u - 4*n + 0 = 2. Calculate the common denominator of u/(-2)*7/(-2) and -57/8.
8
Let i = 11 - 1. Calculate the smallest common multiple of i and 8.
40
Suppose 3*f = -0*f - 45. Let q = 591 + -1223/2. Find the common denominator of q and f.
2
Suppose -4*l + 35 - 2 = -z, 1 = -z. Find the common denominator of (3 - (-1)/2)/l and ((-1)/7)/((-12)/(-1918)).
48
Let z(h) = -h**2 - 8*h - 5. Suppose 2*l + x = -x - 22, 4*x + 20 = -l. Let d = l + 9. Calculate the least common multiple of z(-7) and d.
2
Let h(n) = -7*n**3 + 1. Suppose 4*d - 6 = -10. What is the lowest common multiple of h(d) and 6?
24
Suppose 9 = j + 5*v, -4*j + 2*v + 2 = -12. What is the least common multiple of 16 and j?
16
Let r = 43 - 22. Suppose 0 = g + u - 0 - 6, -5*u = -4*g - r. Find the common denominator of 51/8 and g - ((-60)/11)/3.
88
Let u = -7 + 10. What is the least common multiple of 16 and u?
48
Let r(c) = -c - 11. Let u = 2 + 2. Suppose -u*j + 15 = 3. Calculate the smallest common multiple of j and r(-12).
3
Let n(p) = -p**2 - p + 16. Let c(m) = -m**3 - 2*m**2 + 3*m. Let k be c(-3). Calculate the least common multiple of n(k) and 18.
144
Let x = 10 + -2. What is the lowest common multiple of x and 4?
8
Let q = 1380 + -9689/7. Calculate the common denominator of 53/2 and q.
14
Let s(r) = -r**3 - 6*r**2 + 3*r - 10. Let f be s(-7). What is the common denominator of ((-1)/4)/(f/(-564)) and -35/6?
6
Suppose 3*g = -4*c - 7 - 10, c + 10 = 5*g. Calculate the common denominator of 11/4 and 5/c - (-31)/15.
60
Let b = 6 + 4. Calculate the lowest common multiple of 3 and b.
30
Suppose 6*y = 4*y + 2*u + 4, -3*y = -u. Let t = y - -3. Suppose 4*a = m - 5*m + 84, -4*a + 78 = -t*m. What is the smallest common multiple of 6 and a?
60
Suppose 2*b - 1 = -3. Calculate the common denominator of b/(-4) - (-358)/(-40) and 87/22.
110
Suppose -8*o = 2*o - 70. Let x be 15/(-2)*2/(-3). Let f = 0 + x. Calculate the least common multiple of o and f.
35
Let f(h) = 4210*h**2 - 1. Let v be f(1). Let m = -25183/6 + v. Find the common denominator of 55/6 and m.
6
Let c(t) = t**2 + 5*t. Let z(f) = f. Let i(n) = c(n) - 6*z(n). Let v = 10 - 6. Calculate the lowest common multiple of i(-4) and v.
20
Let k = -2416/7 - -23747/70. Find the common denominator of k and 7/130.
130
Let g = 291 - 911/3. What is the common denominator of 86/21 and g?
21
Let r = 11963/1392 + -5/464. Let i = -7481/4 - -1884. Find the common denominator of r and i.
12
Let k be 6/(-8) + 95/20. Suppose -k*i + 26 = -18. Calculate the smallest common multiple of i and (3 + -8)*(-16)/10.
88
Let c be 2*(-1)/(-4)*4. What is the common denominator of 67/6 and c*1/40 - 3?
60
Let s = -13231/2330 - 5/233. Find the common denominator of (-3)/(-14)*10/6 and s.
70
Suppose -4*v + 36 = 3*q + 2*q, 4*q = 4*v + 36. What is the least common multiple of q and 10?
40
Suppose -4*s - 64 = 3*q, -2*s - 2*q = 11 + 19. Let h = s + 25. Calculate the least common multiple of 8 and h.
24
Let v = -27 - -29. Calculate the smallest common multiple of 6 and v.
6
Let l = 27 - 23. What is the least common multiple of 20 and l?
20
Let v(j) be the second derivative of j**4/4 + j**3/3 - j**2 + 2*j. Calculate the lowest common multiple of v(-2) and 6.
6
Let y = -2291 - -7397. Let n = y - 40753/8. Calculate the common denominator of n and 31/8.
8
What is the smallest common multiple of (-21)/(-7) - (0 - (-1 - -1)) and 30?
30
Let j be (-8)/(0 - -4) + -174. Let w = j - -550/3. What is the common denominator of w and (0 + -9)/(1 - -6)?
21
Suppose -4*k - 3*c = -31, 0*k + 3 = 2*k - c. What is the lowest common multiple of k and 1?
4
Let z be 1/(-2) - 1047/(-22). Let x = -6229/154 + z. Calculate the common denominator of x and -7/22.
154
Suppose 5*z + 2*j - 84 = -2*j, z - 4*j - 36 = 0. Calculate the least common multiple of 50 and z.
100
Let x = -13634/7 + 1955. Suppose 0 = 3*y + 2792 - 620. Let q = y + 5077/7. Calculate the common denominator of q and x.
7
Let v(t) be the second derivative of -t**5/20 - t**4/2 - 2*t**3/3 - 4*t**2 + 3*t. Let u(n) = -2*n - 8. What is the lowest common multiple of v(-6) and u(-7)?
48
Suppose c - 2*x - 15 = -x, -4*c + 15 = 5*x. What is the common denominator of 19/10 and c?
10
Let w(c) = 14*c - 6. Calculate the smallest common multiple of w(2) and 12.
132
Let z(h) = h + 2. Let r be z(10). What is the common denominator of 3/8 and (63/r)/((-18)/20)?
24
Let n(i) = i**3 - 2*i**2 + 3*i. Let t be n(6). Let s = t + 33. Calculate the smallest common multiple of s/27 + 2/(-9) and 9.
63
Let n = 17 + -10. Let w = -3 + n. What is the least common multiple of 20 and 87/w - (-2)/8?
220
Let y(s) = s**2 - 10*s + 9. Let a be y(9). Let v be (-1)/(-247)*-2 + a. Let m = v - 5669/1482. Find the common denominator of m and -36/5.
30
Suppose 72 = -q + 9*q. Calculate the least common multiple of q and 8.
72
Suppose 0*i + 3 = i. Suppose 4*l - 5*s = 61, s - 2*s + 22 = i*l. Let p = 13 - l. What is the lowest common multiple of 1 and p?
4
Suppose 2*k + 2*s = -2*s + 16, 0 = 4*s - 16. Let t = -2055 + 8259/4. Find the common denominator of t and k.
4
Suppose 4*a = 5*a - 6. Calculate the common denominator of 932/(-126) - a/(-21) and 35/9.
9
Let o be (-1 - -2)*36/(-8562). Let u = 81309/7135 - o. What is the common denominator of u and 43/4?
20
Let f = -21043/8659 - -2/1237. Calculate the common denominator of ((-27)/(-21))/(2/6) and f.
7
Let p = -2007/1495 + 4/115. Let m = 37/91 - p. Let o = -27/185 - 2/37. Find the common denominator of m and o.
35
Suppose -6 = -f - 2*f - 5*w, -2*f + 2 = 4*w. Let l = 2 + f. What is the least common multiple of l and 8?
72
Let c(a) = 2*a**2 + 5*a - 9. Let x(i) = i**2 + 3*i - 5. Let t(o) = 3*c(o) - 5*x(o). Calculate the lowest common multiple of t(3) and 5.
35
Let t be (-3)/(9/4)*6. Let i(h) = h + 4. Let m be i(-10). Find the common denominator of 68/3 and 9/m*(-58)/t.
24
Find the common denominator of (-2)/4*(-3 - 51/(-9)) and -11/9.
9
Let i = -9223/650 - -179/13. What is the common denominator of i and 35/22?
550
Let m = 60/11 - 153/22. Let i be (-2)/(-9) - 49233/54. Let o = i + 891. Calculate the common denominator of o and m.
2
Let c(u) = -u**2 + 3*u - 2. Let o be c(-4). Let b be 55/6 - (-5)/o. Suppose 7 = 2*f + n + 2*n, b = -3*n. What is the smallest common multiple of 3 and f?
24
Let v = 111411/16 - 6957. What is the common denominator of -61/18 and v?
144
Suppose 0 = -2*f + 6*f - 8. Suppose 3*r - 4*q - 10 = r, 3*r - f*q - 3 = 0. What is the common denominator of -49 and (70/8)/(r - 1)?
8
Let r be 0/(1*-2 + 0). Suppose r = 5*n + 4*o - 92, 4*n + 3*o + 0*o - 73 = 0. Suppose -8*m = -3*m - 60. What is the least common multiple of n and m?
48
Find the common denominator of 9/3 + 406/180*-2 and -3.
45
Let p(w) = 13*w + 75. Let i(h) = -3*h - 19. Let o(k) = -9*i(k) - 2*p(k). Calculate the smallest common multiple of 2 and o(-15).
6
Let u = -27 - -60. Calculate the least common multiple of u and 4.
132
Suppose -2*i - 15 = -5*i. Let r = 9 - i. Suppose 2*q = -2, -q = w + r*q - 7. What is the smallest common multiple of 12 and w?
12
Let i be (-44)/(-6) + (-2)/(-3). Let w(y) = -y**3 + y**2 + 20. What is the lowest common multiple of w(0) and i/(-1 + -1 + 3)?
40
Let m = 1/3175 - -428483/450850. Let c = 3277/497 - m. Find the common denominator of (28/