z - -7. Calculate the lowest common multiple of w and v.
4
Let r(b) = 8*b - 4. Let h be r(3). Suppose -3*g + h = -4*u, 25 + 43 = 4*g + 5*u. Calculate the smallest common multiple of g and 8.
24
Let x be (1 - 0)/(4 + -3). What is the common denominator of 41/(-7) - (x - 2) and 61/8?
56
Let j be (-2)/(-3) + (-11300)/12. Let q be (7621/24)/(2/(-6)). Let a = j - q. Find the common denominator of a and 25.
8
Let d = 370751/11 + -33741. Let h = -980/33 - d. What is the common denominator of h and (-4)/8 - 110/4?
3
Suppose -3*m = 4*h - 19, 12*m - 9*m + 5*h - 20 = 0. What is the smallest common multiple of m and 4 - 2 - (-1 - 0)?
15
Let y = -439 - -6160. Let p = 15427073/2706 - 1907/451. Let i = y - p. Calculate the common denominator of -61/14 and i.
42
Let m(g) = -g**2 + 9*g - 8. Let r be m(7). Suppose 5*h - r = 2*h. Calculate the lowest common multiple of 20 and h.
20
Let r(a) = a**2 - 3*a + 1. Let j = -3 - -5. Let t be r(j). Calculate the lowest common multiple of (t - 1)*42/(-12) and 7.
7
Let f(c) = -6*c - 42. What is the lowest common multiple of f(-13) and 20?
180
Suppose k + 6 - 8 = 0. Let v = -10 + 16. What is the least common multiple of k and v?
6
Suppose -4*c - 7 = -19. Suppose -h = 5*u - 144, 120 = 4*u - 5*h + h. Suppose c*j + 5 = u. Calculate the smallest common multiple of 18 and j.
72
Let n = 24 - 3. Calculate the smallest common multiple of n and 12.
84
Suppose 3*p - 20 = 7*p - 4*h, -2*h + 7 = -p. Let z = -9 + 20. What is the lowest common multiple of z and (2/p)/((-1)/3)?
22
Let q = 5009/5 + -1006. Calculate the common denominator of (-1)/(-2)*414/99 and q.
55
Suppose 3*s + 51 + 2 = 4*x, -4*s - 66 = -3*x. Let l be ((-16)/10)/(6/s). Suppose -l*i = -3*i - 8. Calculate the smallest common multiple of i and 18.
72
Let q = -6 + 6. Suppose -4*x + 32 = -q*x. Calculate the lowest common multiple of x and 4.
8
Let v = 17765 + -8471. Let w = v + -55631/6. What is the common denominator of -2/13 and w?
78
Let q be 1/(-3) - 10/6. Let m be -2787 + -1 + (q - -3). Let a = 25049/9 + m. What is the common denominator of 43/2 and a?
18
Let r = -17899/30 - -3024/5. Suppose 13 = 2*s + 33. Calculate the common denominator of 238/(-180) - (-4)/s and r.
18
Let n = 284 - 635/2. Find the common denominator of -62/5 and n.
10
Let v = -1/1064 + -32967/18088. Find the common denominator of v and -54/5.
85
Suppose -1 = 5*u - 16. Suppose 4*q + 30 = 2*r - 0*r, u*r - 21 = 2*q. What is the common denominator of -51/4 and (154/q)/((-20)/6)?
20
Let w = 103/2 + -503/12. Find the common denominator of 91/12 and w.
12
Let c = -30 + 48. What is the least common multiple of c and 40?
360
Find the common denominator of ((-1)/(-3))/(20/114) and 10051/828 + 2/18.
20
Let k(u) = -u**3 - 4*u**2 + 7*u + 6. Let q = 0 + -5. Let h be k(q). What is the common denominator of -29/10 and ((-4)/(-36))/(h/390)?
30
Let n = 14 - 13. What is the common denominator of -3 + 224/(-36) + n and -55/3?
9
Let v(w) = w**2 - 2*w + 3. Suppose 0 = -3*n + t - 3 - 7, 2*n - t + 7 = 0. Let z = 7 + n. What is the lowest common multiple of v(3) and z?
12
Let g(d) = d**3 - 4*d**2 - 8*d - 6. Calculate the least common multiple of g(6) and 24.
72
Let x = -12 - -16. Suppose 0 = 3*g + x*v - 11, -4*v = -4*g - v + 23. What is the lowest common multiple of (-2 + 0 - 0) + 7 and g?
5
Let j(n) = -n**2 - 7*n. Let z be j(-5). What is the lowest common multiple of (-2)/z - (-122)/10 and 4?
12
Let s = -131/819 - -2/117. Calculate the common denominator of 4/9*41/4 and s.
63
Let g(o) = o + 22. What is the least common multiple of 8 and g(-21)?
8
Suppose -389 = 4*n + 5*r, -331 = 5*n + 2*r + 168. Find the common denominator of (n/(-3))/(10/(-3)) and -25/8.
40
Let m = -18 + 10. Let n be 786/10*(-10)/m. Let z = n + -4407/44. What is the common denominator of 36/11 and z?
11
Let s be 9/6 - 1/(-2). Suppose -15 = -s*x + 9. Calculate the smallest common multiple of (0 + 2/4)*32 and x.
48
Suppose 3*t - 5 = 2*t. Calculate the least common multiple of 7 and t.
35
Suppose 4 = 3*t - 2. Suppose -18 = t*i - 5*i. Calculate the lowest common multiple of 2 and (2/i)/(1/6).
2
Let i = 607/8 - 4565/56. Let k = -45369 - -67509. Let b = -398669/18 + k. What is the common denominator of i and b?
126
Find the common denominator of -97*3/18 - -1 and (9/(-15))/((-4)/(-95)).
12
Let b = 1093/6 - 514/3. What is the common denominator of ((-171)/(-96))/(1/(-2)) and b?
48
Suppose 0 = -5*y - 2*k + 84, -y + 13 = -4*k + 5. Let s = 21 - y. Calculate the lowest common multiple of 10 and s.
10
Let z = -248/35117 + 5337472411/632106. Let w = z - 8439. Calculate the common denominator of 67/12 and w.
36
Suppose -6*h + 6 = -12. What is the smallest common multiple of 9 and h?
9
Let u(m) = -m**3 + m**2 + m - 1. Let a be u(0). What is the least common multiple of 8 and 8 + -5 - a*3?
24
Let r be (-55441)/11160 + (-3)/(-5). Let j = -2/279 + r. What is the common denominator of 73/16 and j?
16
Suppose 0 = 2*s - 6, 2*q + 4 = 4*s - 8. Suppose q = 5*k + 5*j + 5, 5*k = 5*j - 4*j + 13. Calculate the smallest common multiple of 2 and k.
2
Let h = 80 - 47. What is the least common multiple of 3 and h?
33
Let x = -8489/6 + 1437. Let d = 821 - 4937/6. Find the common denominator of d and x.
6
Let o = 23603798719/119287350 - 1787326/8775. Let r = o + 24/971. Find the common denominator of r and -7/4.
28
Let i = -32 + 20. Let j = 685 + -3444/5. What is the common denominator of j and (-33)/(-14)*i/9?
35
Suppose 0*i - i = 9. Let c be 6/i + 2/3. Suppose -35 = -c*s - 5*s. Calculate the lowest common multiple of 10 and s.
70
Let o = 11467/6 + -1918. Let v(u) = -5530*u. Let x be v(-1). Let w = x - 121611/22. What is the common denominator of w and o?
66
Let n(p) = p + 2. Let k be n(3). Suppose 0*o = 2*r + o - 23, k*o = 5*r - 20. Calculate the lowest common multiple of r and 7.
63
Suppose k - 812 = -3*x + 125, -5*k + 929 = 3*x. Suppose -3224 = t - x. Let z = -29133/10 - t. Calculate the common denominator of -93/10 and z.
10
Let a = 4602309/20 + -230185. Let m = 334/5 + a. Find the common denominator of 57/4 and m.
4
Suppose -2*p = t - 2 + 10, 4*p = 3*t - 26. Suppose -3*d + 15 = -0*d. Calculate the least common multiple of t and d.
10
Suppose 25 = -5*c, -3*c - 20 = -5*y - 0*c. What is the common denominator of (3 - y)*(-107)/(-12) and 1/56?
168
Suppose -4*j + 3*m - 35 = 0, -25 = 2*m - 7*m. What is the lowest common multiple of 10 and (4/(-10))/(1/j)?
10
Let g be ((-3)/(-2))/((-6)/8). Let q = -1255/12 - -643/6. Calculate the common denominator of q and (-387)/70 - g/(-5).
84
Let k be 1 - (-6 - -2*1). Let i = k - -1. Let h = i + -3. Calculate the least common multiple of h and 8.
24
Let u be (-14)/(-5) + (-2)/(-10). Suppose 2*p + 2*v = -12, -7*v = -5*p - u*v - 30. Calculate the common denominator of 8/5 and (-8)/(-10)*(-50)/p.
15
Suppose 2 = 3*q - 7. Suppose -q*t = -8*t + 50. Calculate the smallest common multiple of 18 and t.
90
Calculate the least common multiple of (-48)/(-36)*3/2 and ((-22)/5)/((-1)/5).
22
Let o(d) = d**3 - d**2 + 15. Let a be o(0). Let x be ((-22)/a)/((-7)/(-6)). Let m = x - -3029/210. What is the common denominator of m and 91/2?
6
Let z = -1/14466 - 59873/2411. What is the common denominator of 107/26 and z?
78
Suppose 4*m = 2*r - 0*r + 38, 4*m + 2*r - 34 = 0. Let u = m + 7. Calculate the smallest common multiple of 14 and u.
112
Find the common denominator of 59/10 and 4 + ((-98)/(-18))/(-1).
90
Let q be (2/(-4))/(1/(-6)). Suppose -d - 1 = -q. What is the least common multiple of d and 2?
2
Let g(x) = -3 - 3 + 4*x + 0. What is the least common multiple of g(5) and 18?
126
Let c = -5 + 5. Suppose c*q + 4 = q. Calculate the smallest common multiple of ((-2)/(-4))/(1/18) and q.
36
Let z(w) = 18*w**3 + w - 1. Let g = -1 + 2. Suppose 4*n - 12 = -4. What is the least common multiple of z(g) and n?
18
Let p = -5 - -8. Let t(d) = 8*d**3 + d**2 - 2*d + 1. What is the lowest common multiple of p and t(1)?
24
Suppose 2*p - 45 = 5*z, z + 24 + 57 = 4*p. Let b(u) = -u**3 + 15*u**2 + 19*u - 40. Calculate the least common multiple of p and b(16).
40
Let m(d) = -7*d**2 + 4*d - 2. Let g be m(-4). Calculate the common denominator of 2/(-3) - g/12 and (-10)/5 - (-15)/22.
66
Let l = -17/192 + 1153/192. Find the common denominator of l and -67/16.
48
Let d be 6/(6/(-4) + 3). Supp