Suppose 3*c = -l*c - 3*k + 101, 4*k = -c + 10. What is the smallest common multiple of c and 16?
176
Suppose 5*u - 7*u = 6. Calculate the common denominator of u + 3 + (-102)/(-15) and (-119)/12 + (-1)/(-4).
15
Let u(f) = 4*f - 10. Let i be u(-7). Let t = i + 56. Let d(n) = -2*n + 40. Calculate the smallest common multiple of t and d(12).
144
Suppose 5*f - 5*b - 96 = -b, -2*f = -5*b - 52. Let q(t) = -t**3 + 4*t**2 + 3*t - 2. Calculate the least common multiple of f and q(3).
16
Let q = -88 - -138. What is the common denominator of -45/4 and q?
4
Let f(w) = 2*w**3 + w**2 - 2*w + 1. Let d be f(1). Let h(i) = 2*i**2 - i - 2. Calculate the least common multiple of h(d) and 4.
4
Let c = -3 + 13. Let l = 24 + -24. Suppose 0 = -p + 1, 2*q - 9 = -5*p - l. Calculate the least common multiple of c and q.
10
Let d(n) = -9*n**3 + 2*n**2 - 2*n + 1. Let w be d(1). Let f = 24 - w. Let s = f - 14. Calculate the lowest common multiple of 12 and s.
36
Let w = -2081/66 + 92/11. Calculate the common denominator of w and 119/18.
18
Suppose 0*u + 6 = -2*u. Find the common denominator of u - (4 - (-267)/(-12)) and -113/10.
20
Let v(x) = -4*x + 4. Let u be v(-2). Suppose -3*m = -2*q + 15, 0 = 2*m + 2*m - u. Calculate the least common multiple of 5 and q.
60
Suppose -2*f + 4*z = -0*f - 20, 31 = f + 5*z. Suppose -r = 3*m - 4, -r + 5*m = -4*r + 20. What is the smallest common multiple of f and r?
80
Suppose -v + 2*v + 21 = 2*o, 4*v + 4 = -2*o. Suppose -2*p = 0, -6*p - 55 = -5*q - 2*p. What is the smallest common multiple of q and o?
88
Let h(p) = p**2 + 2*p - 1. Let n(q) = -q**3 - 9*q**2 - 9*q + 8. Let x be n(-8). Suppose -x = -j - 3*j. What is the least common multiple of h(1) and j?
4
Let i = 50 + -38. Let b(y) = y - 5. Let f be b(5). Suppose 4*h + 2*c = 16, f*c = -4*h + 2*c. What is the least common multiple of i and h?
12
Let r = -166 + 341/2. Calculate the common denominator of 22/(-3) + 2/3 and r.
6
Let y = 7 + -3. What is the lowest common multiple of y and 8?
8
Let f(x) = -x**2 + 4*x - 1. What is the least common multiple of f(3) and ((-162)/(-24))/((-3)/(-8))?
18
Let v(u) = -5*u - 2. Find the common denominator of v(-3) and 6/(-27) + 154*(-10)/36.
1
Find the common denominator of 231/54 - (5 + -1 + -2) and -33/20.
180
Let f be ((-10)/50)/(2156/28866). Let j = f - 12/539. Calculate the common denominator of (-10)/12*219/(-10) and j.
20
Find the common denominator of 67/28 and 1 + (-45)/55 - (-225)/(-88).
56
Let x(n) = -n - 4. Let l be x(-6). Suppose 4*z - 10 = l*z. Let f = 5 + z. What is the least common multiple of f and 7?
70
Let p = 11 + -8. Suppose p*m = 4*h + 33, -2*m = 3*m + h - 55. Calculate the smallest common multiple of 9 and m.
99
Let f = 762127/10460886 - 2/50781. Let n = f + 11461/1030. What is the common denominator of (-3)/((-11)/(-42)*3) and n?
55
Let j be (-33805)/(-45) - (-2)/(-9). Let z = -1583/2 + j. Find the common denominator of z and (-249)/55 + (-2)/10.
22
Let l = 176/25 - 3079/100. Let c = 750 + -4601/6. What is the common denominator of l and c?
12
Calculate the common denominator of -23 and (6/(-9))/((-32)/952).
6
Suppose 0*j = 4*j + 12. What is the common denominator of 25/7 and j + 0 - (-273)/24?
56
Suppose 3*f - 57 = -3*u, -5*u + 4*u - 65 = -5*f. What is the lowest common multiple of f and 206?
1442
Let s = 4 - 12. Let d = s + 10. Calculate the smallest common multiple of 4 and d.
4
What is the common denominator of -59/15 and -1*6*(-4)/(-60) + -11?
15
Let t(l) = l**3 + 30*l**2 + 27*l - 25. What is the lowest common multiple of 9 and t(-29)?
99
Let c be 377*3*23/(-27). Let y = -948 - 20. Let g = y - c. What is the common denominator of 51/5 and g?
45
Let t be (-9)/(-15)*(-813)/(-9). Let j = -6107/110 + t. Calculate the common denominator of j and -9/10.
110
Suppose 5*r + 235 = -580. Let v = -97 - r. What is the least common multiple of 8 and v/4*4/3?
88
Calculate the smallest common multiple of 33 and 10/((-3 - -1) + 40/15).
165
Let m = 79 + -15. Suppose 3*b = 7*b - m. Suppose j - 3*p - 39 = -3*j, -4*p - 20 = 0. What is the smallest common multiple of b and j?
48
Find the common denominator of 79/48 and ((-8)/112)/(1320/(-651) + 2).
48
Let m = 123 - 733/6. Calculate the common denominator of 37/4 and m.
12
Suppose 0 = -f - 0*f + 1. Suppose 4*j = 11 - 3. Calculate the lowest common multiple of j and f.
2
Let o be (-46)/((-1)/(71/252)). Let k = -152/21 + o. What is the common denominator of k and (-22)/(-28) + 3 - -3?
126
Suppose -3*u - 2*u = 0. Suppose 0*b - 3*b + 72 = u. Suppose 0 = -2*s - 2*s + b. Calculate the smallest common multiple of s and 20.
60
Suppose 0 = n - 1 - 2. Suppose n*l + 18 = -3*a - 0*l, 3*a - 7 = 2*l. Let c = a + 5. Calculate the smallest common multiple of 4 and c.
4
Let s(x) be the first derivative of -x**2/2 + 14*x - 7. What is the lowest common multiple of 2 and s(7)?
14
Let j(d) = d**3 + 3*d**2 - d - 4. Calculate the smallest common multiple of 28 and j(-2).
28
Let y(b) = -9*b**3 + 2*b + 1. Let v be y(-1). Suppose -3*c = -v*c. Suppose c + 10 = 2*l. Calculate the least common multiple of 5 and l.
5
Suppose 0 = -5*q - 5*t - 22 - 108, 4*q = 2*t - 104. Calculate the common denominator of (q/(-5))/(-1)*-2 and -35/3.
15
Let i(j) = j**3 + j - 459. Let t be i(0). Let q = 1589587/8 - 199155. Let f = q - t. Find the common denominator of 13/7 and f.
56
Let j = 69 + -59. Suppose -10 + 2 = -4*n + 3*k, -n - 3*k = -2. Calculate the smallest common multiple of n and j.
10
Let a be 14/(-77) + (-153829)/(-88). Let x = -1750 + a. What is the common denominator of x and 19/2?
8
What is the common denominator of 2/(-3)*(-1659)/112 and -31/11?
88
Suppose -c = -3 + 5. Let r be (-274)/(-14) + 18/42. Let i = r - c. What is the smallest common multiple of 8 and i?
88
Suppose 0*b + b = 3*q + 7, 3*b = 3. Calculate the smallest common multiple of 9/4 - q/(-8) and 12.
12
Let v = -30745/7 - -4384. Find the common denominator of ((-654)/16)/(8/(128/(-60))) and v.
70
Suppose 5*d + 23 = j, j + 5 + 2 = -d. Find the common denominator of ((-33)/(-15))/(j/25) and -58/3.
6
Suppose 0 = 3*h + 44 - 71. What is the smallest common multiple of 111 and h?
333
Let w(v) = -22*v**3 + v**2 + 3*v - 3. Let i be w(2). Let z be (-1*1)/(i/(-11)). Let q = -8990/507 - z. Calculate the common denominator of q and 57/8.
24
Let i = 67 + -17. Suppose -x + i = -30. Calculate the common denominator of 11/10 and -1*86*(-2)/x.
20
Let t = -1921/44 - -516/11. What is the common denominator of 119/12 and t?
12
Let d(j) = -102*j**2 + 2*j + 1. Let z be d(-2). Find the common denominator of -1 + -1 + z/(-18) and -29/20.
60
Suppose -2*s + 6 = s. Suppose 5*i = s*i + 21. Calculate the least common multiple of i and 4.
28
Let u be (1 - 0/(-2))*0. Suppose 4*y - 28 = -u*y. Suppose 4*j - 11 = -x, -3*x = -0*x - 9. What is the lowest common multiple of y and j?
14
Let a = 8 - 6. Suppose 90 = a*i + 3*i. Calculate the common denominator of -27/22 and (453/10)/(i/(-5)).
132
Suppose 8 - 72 = 4*l. Let t = -8 - l. What is the least common multiple of 20 and t?
40
Suppose 3*v + 53 = 5*x + 2*v, -25 = -3*x + 4*v. What is the smallest common multiple of 14 and x?
154
Suppose 5*u = 1048 - 123. What is the common denominator of u/90 + (-1)/1 and 109/10?
90
Suppose -62 + 72 = k. What is the lowest common multiple of k and ((-1)/2)/(2/(-48))?
60
Let b = -37880 + 1136281/30. Find the common denominator of 74/15 and b.
30
Let f(z) = -z**3 + 2*z**2 + 1. Suppose 4*t - 26 = -4*a + 2*t, 3*t = 4*a - 1. What is the lowest common multiple of f(2) and a?
4
Let c be 2/(-8) + 41877/1260. Let i = -267/10 + c. Let x = 2/439 - -3069/878. Find the common denominator of i and x.
14
Suppose 3*h - 4*y = 2, 0*y - 14 = -h - 2*y. Calculate the least common multiple of h and (-2)/(-6) + (-58)/(-6).
30
Suppose 4*b + 3 = -b + 4*r, 2*b + r = 4. Let u = 3 - 7. Calculate the common denominator of 75/(-8) - b/u and 21/5.
40
Suppose 4*n - 2*d = 36, -2*n = -n - 2*d - 6. What is the least common multiple of 2 and n?
10
Suppose -2*f + 11 + 9 = 0. Suppose 0 = -3*h + 12 + 3. Let s = 11 - h. What is the lowest common multiple of f and s?
30
Let j be 51/(-18)*89042673/11. Let u = j + 22954066. Let t = 18827 - u. Calculate the common denominator of t and 11/18.
198
Suppose 0 = 3*z - o - 11 - 4, 4*z = o + 20. Suppose 0 = 2*g - 17 -