Let f be (4 + -4)*1/(-1). Suppose -5*d + 35 = 5*z - 0*z, d + 2*z - 8 = f. What is the smallest common multiple of d and 20?
60
Let n = 300 + -167. Let j = n + -70. Let x = -41 + j. Calculate the lowest common multiple of 20 and x.
220
Let d = -577964029131421/1274122265 - -2/254824453. Let v = d - -451823. Let p = -1802 - v. What is the common denominator of p and -35?
5
Let a = 565/42 - 27/2. What is the common denominator of a and 87/2?
42
Suppose -2*g - i - 2*i = 11, -4*g + 5*i + 33 = 0. What is the least common multiple of 22 and g?
22
Suppose -7 = -m - 97. Calculate the common denominator of 2*(-24)/10 - -2 and 921/m - 1/(-3).
10
Suppose 5*l - 22 + 2 = 0. What is the smallest common multiple of 2 and l?
4
Let z = -9133 + 164279/18. Calculate the common denominator of z and 24/(-2 - 2)*42/(-8).
18
Let v = -16651559/33 + 504636. Let g = -392/11 + v. What is the common denominator of g and 23/4?
12
Calculate the common denominator of ((-126)/(-4))/(12/(-6) - -5) and 52/15.
30
Let f be (4/10)/(2/60). Let g = -936 - -3699/4. What is the common denominator of 51/(-8) - (13 - f) and g?
8
Let g be -1 - (-1)/(2/8). What is the common denominator of ((-1)/(-12))/(g/(-112)) and 2*89/(-8) + -2?
36
Let h be (-3 - -5) + 24 + 1. Let u = h + -7. Calculate the smallest common multiple of 4 and u.
20
Let l = -5 - -9. Suppose -h = -l*y + 3, -2*y - h + 9 = -4*h. Let n(v) = -v + 12. What is the lowest common multiple of 20 and n(y)?
60
Suppose 4*k - 120 = 4*m, 2*k - m + 90 = 5*k. Find the common denominator of 2/7 - (-115)/14 and k/(-12)*(-1 + -6).
2
Let m = 267 + -1322/5. Find the common denominator of -43/8 and m.
40
Let n = -862664/11795 + -8/1685. Let d = -76 - n. What is the common denominator of 47/3 and d?
21
What is the common denominator of (-333)/30 - 3 - (-4 + 1) and 43/18?
90
Let z(o) = 7*o + 11. Let q(s) = -15*s - 23. Let d(w) = -3*q(w) - 7*z(w). Calculate the lowest common multiple of d(-7) and 4.
20
Calculate the common denominator of -2*-1*(-101)/16 and 9/22.
88
Suppose -9 = 2*d - 0*d + v, -5*d - 2*v = 21. Find the common denominator of (d + 222/56)*-4 and -21/8.
56
Find the common denominator of 3/8 and (5 - 4)*3/(-30).
40
Suppose m = 5 - 3. Suppose -3*a + 4*a = m. Calculate the common denominator of -30/7 and (1 + 0 - a)/(-10).
70
Calculate the common denominator of -1 - (208/(-42) + 0) and 19/4.
84
Let w(i) = -i**2 + 7*i + 10. Let h be w(7). Find the common denominator of 1/(-4)*492/h and 1/4 - 193/(-36).
90
Let j = -723 + 1537/2. Calculate the common denominator of j and 45/22.
22
Find the common denominator of 12/5 and (-1264)/(-60) - (52/(-20) + 2).
15
Suppose 5*s - 29 = -0*v - 3*v, v + s = 7. Suppose -2*k + 4 = 0, -5*n - 2*k + 7*k = -5. What is the least common multiple of v and n?
3
Let m = 1137 + -6803/6. Let c = 1116406/5963967 + -2/34877. Let a = c + -12931/2394. Calculate the common denominator of m and a.
42
Let m = -179203/20 + 8956. Let a = 132 - 277/2. Find the common denominator of m and a.
20
Let z(m) = m**3 - 12*m**2 + 36*m - 7. Calculate the lowest common multiple of z(8) and 35.
175
Suppose -2 = -5*d + 3*j + 25, d - 9 = -3*j. What is the smallest common multiple of 4 and d?
12
Let m = -5 - -18. Suppose 0 = -5*c + m + 42. Calculate the least common multiple of 11 and c.
11
Suppose -3*c + x = 1, -c - 3*x = -5*x + 7. Suppose -17 = -4*n - a, 4*a + 4 = 2*n - 18. Suppose n*s = -18 + 53. What is the lowest common multiple of s and c?
7
Let d(n) be the second derivative of n**3/6 - 3*n**2/2 + 5*n. Let h be d(5). Suppose 0 = h*a - 17 + 3. Calculate the lowest common multiple of a and 2.
14
Let g(s) = -s**3 + 13*s**2 - 10*s - 4. Let z be g(12). Let o(p) = -p**3 - p**2 + 2. What is the lowest common multiple of o(0) and 42/5 - z/50?
8
Suppose -4 + 1 = -3*l. What is the lowest common multiple of -1 + 13 + (-1)/l and 6?
66
What is the common denominator of -89/2 and 174/49*133/76?
14
Let x be ((-2)/(-3))/((-14)/(-147)). Let d = 14 - x. What is the least common multiple of d and 9?
63
Let v be (-17)/(-2) - 4/(-8). Let f be 30/v*6/(-5). What is the common denominator of 8/5 and f/10*(-2)/(-8)?
10
Let k(v) = -2*v + 2. What is the least common multiple of 8 and k(-5)?
24
Let f = 5/87 - 640/203. What is the common denominator of -5/12 and f?
84
Let m = -2 + 12. Calculate the smallest common multiple of 8 and m.
40
What is the lowest common multiple of 4 and -2*(2 + -3 + 0)?
4
Let q(t) = t**2 - t + 2. Let r be q(4). Suppose 0 = -x + 2*u - 4, 3*x + x - r = -2*u. Calculate the smallest common multiple of x and 11.
22
Let s = 12 - 27. Calculate the least common multiple of 324/33 + 2/11 and (-5)/s + (-17)/(-3).
30
Suppose -20 = -3*d + 4*v, -v - 3*v = 2*d. Suppose -d*r + 58 = -0*p + 2*p, 35 = 2*r - p. What is the smallest common multiple of 16 and r?
16
Suppose 0 = -5*x - 5*v + 90, 5*v + 9 = -2*x + 51. What is the least common multiple of x and 22?
176
Let g = -3091 - -21680/7. Let t be (4/(-5))/(20/250). What is the common denominator of (-375)/(-36)*4/t and g?
42
Let o = -9 - -8. What is the least common multiple of (-6)/18*(-10 - o) and 4?
12
Suppose -2*m = m + 4*y - 19, 2*m + 5*y = 15. Let n be 72507/(-181230) + 2/m. Let v = -537657/96656 - n. Find the common denominator of 55/2 and v.
16
Let s be (-116888)/5394 + 0/1. Let c = 3/899 + s. What is the common denominator of c and ((-4)/(-3))/((-22)/21)?
33
Let z(b) = b**2 + b - 2. Let q(u) = u + 14. Calculate the smallest common multiple of q(-4) and z(-3).
20
Let p = -94/67 + 6071/268. Find the common denominator of p and -70/3.
12
Let n(k) = -k**2 + k. Let m be n(0). Suppose m*z - 5*z + 90 = 0. Calculate the lowest common multiple of 18 and z.
18
Let q = 892517/115910 - 1/11591. Let h = 151741/14 - 10844. Find the common denominator of q and h.
70
Let g = -4 - -4. Suppose 0 = 5*a + 3*r - 19 - 11, 4*a + 3*r = 24. Suppose 2*q - a + 0 = g. What is the lowest common multiple of q and 1?
3
Suppose 0 = -8*x + 3*x + 70. What is the least common multiple of ((-12)/(-9))/((-2)/(-6)) and x?
28
Suppose j = 1 + 23. Find the common denominator of (-191)/48 - 8/j and 89/14.
112
Suppose -13*q = 5 - 18. What is the lowest common multiple of q and 6?
6
What is the common denominator of 39/16 and (-87 + (8 - 4))/(-16)?
16
Calculate the common denominator of 5 - (3 + 75/96) and -57/64.
64
Let v be (-2 + 3)/1*-6. Let t(c) = -c**3 - 5*c**2 + 3*c. Let y(q) = q + 2. What is the smallest common multiple of t(v) and y(2)?
36
Let q = 13 - 8. Let m(w) = w**3 - w**2 + 33. Let p be m(0). Suppose -2*n + 61 = 5*y - p, -2*y - q*n + 46 = 0. Calculate the least common multiple of 6 and y.
18
Let q = -18575/28 + 664. Find the common denominator of q and 167/60.
420
Let g(q) = -q**2 + 5*q + 2. Let n be 17/4 + (-3)/12. Calculate the lowest common multiple of g(n) and 2.
6
Let l = -235969/34762 + 6/2483. What is the common denominator of ((-194)/20)/(-1) - 2 and l?
70
Let d = -36323/30 - -3620/3. What is the common denominator of -13/10 and d?
10
Let o = 41/425 + 1699549/4675. Let y = 363 - o. Calculate the common denominator of 17/8 and y.
88
Let q(i) = 2*i - 2. Let b be q(-2). Let k = b - -9. Suppose -k*n = -0*n - 6. Calculate the least common multiple of n and 2.
2
Suppose 0 = -5*z + 29 - 84. Let q be 4*(28/(-16) + 1). Let j = q - z. What is the smallest common multiple of 7 and j?
56
Let p(l) = -l + 0 - 1 - 4*l + 2*l**2 + 4*l. Calculate the lowest common multiple of p(-3) and 10.
20
Suppose -3*g = -3*t + 32 + 157, -5*g + 2*t - 315 = 0. Calculate the common denominator of -27/4 and (-431)/(-36) - (-14)/g.
4
Let n = -4 + 13. What is the smallest common multiple of n and 4?
36
Suppose -3*m + 21 = -3. Let x = -1 - -3. Suppose -4*p + 10 = x. What is the least common multiple of m and p?
8
Let v = 4 + -4. Let l(k) = -k**3 + k + 16. Suppose 4*t - 66 = t. Calculate the least common multiple of l(v) and t.
176
Let u = -24484 - -636503/26. Calculate the common denominator of u and -93/10.
130
Let z = 61 + -25. What is the lowest common multiple of z and 9?
36
Suppose -29 = -4*l + 15. Let p(k) = k**2 + 7. What is the lowest common multiple of l and p(0)?
77
Suppose 3*l + 21 - 4 = -2*g, -20 = 3*l + 5*g. Let w = l - -7. Let c = 42 + -28. Calculate the least common multiple of c and w.
14
Let f(b) = b**2 - b + 41. Let q be f(0). Suppo