nd y.
20
Suppose 2*u - a = 46, 4*u - 41 = a + 53. What is the lowest common multiple of 18 and u?
72
Suppose 0 = 4*n - 17 - 39. Let b = 54 - n. Let c = 19 - b. Calculate the common denominator of c and 50/11.
11
Calculate the lowest common multiple of 1/(-2) + (-116)/(-8) and 16.
112
Suppose 5*d = l + 17, -2*d + 2*l - 3 + 13 = 0. Let u(f) = f**3 - 2*f**2 - 2*f + 3. Let w be u(d). What is the common denominator of (-2)/w + 942/396 and -39/4?
44
Let r(y) = -y**2 - 8*y + 3. Let w be r(-8). Suppose w*d - 2*s - 70 = -6*s, 4*d - 86 = 2*s. Calculate the smallest common multiple of d and 8.
88
Let d = -14 + 25. Calculate the smallest common multiple of 7 and d.
77
Let j = 1900 - 19057/10. What is the common denominator of 97/14 and j?
70
Let n(o) = -o - 1. Let q be n(-4). Let k = 38 + 8. Let u = q - k. Calculate the common denominator of u and -6/11.
11
Let r(l) = -l**2 - 4*l + 7. Let s(g) = -g. Let i be s(5). Let f = 4 - 2. Calculate the smallest common multiple of r(i) and f.
2
Suppose 3*r - 7 + 1 = 0. What is the least common multiple of 12 and r?
12
Let f(x) = x + 4. Suppose -5*l - 92 = -4*a, 4*l - 2*a + 5*a = -86. Calculate the smallest common multiple of (-4 + -1)*32/l and f(5).
72
What is the common denominator of ((-18)/4)/((-69)/(-299)) and -51/20?
20
Suppose -67 = 3*i - 166. What is the least common multiple of i and 33?
33
Let g be (28/35)/(4/10). Suppose 0 = -3*w - g*r + 35, 5*r - 46 = -4*w + 2*r. Let y = 19 - w. What is the lowest common multiple of y and 1?
6
Let b = 2890453/50 + -57807. What is the common denominator of b and -74/35?
350
Suppose 1 = 5*q - 19, k - 5*q + 97 = 0. Let y = 46 + k. Calculate the common denominator of y and 53/5.
5
Let z(c) = c**3 + 13*c**2 - c + 1. Calculate the lowest common multiple of z(-13) and 22.
154
Suppose -2*n = 21 - 3. Let h be ((-10)/3)/(6/n). Let p = 9 + h. What is the least common multiple of p and 14?
14
What is the common denominator of (2/(-4))/((-4)/172) and 3 - (-202)/(-4) - 0?
2
Suppose -15 = -5*r + 5. Suppose -12 = -3*v - j - j, 13 = -v + 5*j. Calculate the lowest common multiple of v and r.
4
Let g be 2/8 + 45/12. Let o = 1 + g. Let h = 9 - o. Calculate the lowest common multiple of h and 5.
20
Suppose 4*w + 3*w = 70. What is the lowest common multiple of 98/6 + 1/(-3) and w?
80
Let d = -647 - -431. Let o = 7 + -4. What is the common denominator of -41/10 and (o/8)/((-10)/d)?
10
Let v be 16/56 - 304/(-14). What is the common denominator of 4/v + (-949)/(-44) and -25/2?
4
Suppose -2*p - 2*p = -x + 4, -x + 5*p = 0. Calculate the least common multiple of x and 6.
60
What is the common denominator of 97/8 and ((-249)/18)/(74/6)?
296
Let x = 4 - 3. Calculate the lowest common multiple of x and 6.
6
Suppose 0 + 1 = u. Suppose u = 4*z - 7. Calculate the smallest common multiple of ((-4)/14)/(z/(-14)) and 2.
2
Let d = -68336045/14 + 4878981. Let x = -2166 - d. Calculate the common denominator of x and 45/2.
14
What is the common denominator of 33/86 and 183/(-20) + (-3)/(-12)?
430
Let s be 6/(-21) - (-16)/7. Suppose 8 = -0*w + s*w. What is the least common multiple of 0 + (1 - 0 - -3) and w?
4
Suppose 2 + 6 = 4*o + 5*x, 0 = 5*o - x - 39. Suppose -5*s + 5 = -4*a, -o*a + 15 = -2*a - 2*s. Calculate the lowest common multiple of a and 7.
35
Suppose -15 = -4*l + 5. Let g(u) = u - 2. What is the lowest common multiple of g(l) and ((-8)/(-14))/((-8)/(-84))?
6
Suppose 2*s - s - 14 = 0. Suppose -5*l + 25 = -2*c - 57, 4*l + 3*c - 84 = 0. Calculate the smallest common multiple of l and s.
126
Let l = 46862/25 - 14997/8. Let a = 1/50 + l. Find the common denominator of -33/14 and a.
56
Let u = 692 + -1451/2. What is the common denominator of ((-45)/(-12))/(54/(-44)) and u?
18
Suppose -2*r - 2*r - 5*l = -1444, -1834 = -5*r + l. What is the common denominator of -3/10 and r/(-48) - (-1)/1?
40
Let j = 12097/6 + -2027. Let c = -22099 + 397883/18. Find the common denominator of j and c.
18
Let v = 6 + 17. Suppose -t - v = -n + 6*n, 2*t + n + 1 = 0. What is the smallest common multiple of 8 and t?
8
Suppose -3*z = 40 - 136. Suppose -4*g + s + 47 = 0, -g = 3*g + 4*s - z. Calculate the least common multiple of 4 and g.
44
Let d(z) = 5*z. What is the lowest common multiple of (25 - -2)*24/36 and d(4)?
180
Let f be 643762/8*3/(-15). Let a = 16100 + f. Find the common denominator of (1 - 106/(-32)) + 1 and a.
80
Let w be ((-4)/6)/((-49)/36). Let y = w + -1000/441. Suppose -5*m = 2*r + 29, 2*m = r - 0*r - 17. What is the common denominator of m and y?
9
Let w be 1/1 + 2 + 6. Suppose -2 = -4*d + 2*d - 2*t, -5*d + 17 = -t. Suppose 4*s - 3 - w = -d*k, 27 = 3*k - s. Calculate the lowest common multiple of k and 10.
40
Suppose 0 = -9*c + 14*c - 30. What is the least common multiple of c and 10?
30
Let c = -5964 + 83455/14. Calculate the common denominator of c and 140/24 - (2 + -4 + 1).
42
Let s = -1283144/39 - -98954/3. Let y = 12440/143 - s. What is the common denominator of 20/11 and y?
11
What is the common denominator of (-1*441/(-12))/(-3) and 59/10?
20
Let w = 34 + -16. Calculate the lowest common multiple of 1 and ((-6)/9)/((-1)/w).
12
Let v = 18 - 9. Let q be -1 - -1*(-10)/(-2). Suppose c + 0*c = q. Calculate the lowest common multiple of v and c.
36
Let x be (-1)/(4/(-5))*16. Let y = x - 6. What is the smallest common multiple of y and 6?
42
Suppose 2*q - o - 4*o - 22 = 0, -5*o = -3*q + 23. Let s(d) = d**2 - 3*d - 2. What is the least common multiple of q and s(4)?
2
Let a(c) = c**3 - 5*c**2 + 4*c + 3. Let r(i) = -i - 11. Let n be r(-15). Find the common denominator of 51/10 and a(n).
10
Let k(m) = -3*m**3 + 2*m + 1. Let f be k(-1). Suppose 0 = q - 2 - f. Calculate the least common multiple of 14 and q.
28
What is the common denominator of -79/4 and (28/160)/(-7) - -1?
40
Let u be (0 + 1)*0 + 10198. Let w = u - 101891/10. Find the common denominator of 7/(-4*(-20)/64) and w.
10
What is the lowest common multiple of 2 + (-22)/14 - 24/(-42) and 36?
36
Find the common denominator of (-2 - (-15)/10)*(-186)/(-4) and 26/71.
284
Suppose -44*c = -39*c - 210. Suppose 3*o - 7 = 17. Calculate the smallest common multiple of c and o.
168
Let c = -13 - -22. Calculate the common denominator of -121/6 and (-6)/c - 267/180.
60
Let y = 12 + -27. Suppose 3*j = -0*j + o + 57, 0 = -2*j + 5*o + 51. What is the lowest common multiple of 9*(-1 - y/9) and j?
18
Let t = -9731/117 + 1022/13. What is the common denominator of 71/27 and t?
27
Let u = -136/9 - -3217/198. What is the common denominator of u and 103/24?
264
Let i(o) = o**3 + 19*o**2 + 34*o + 4. What is the least common multiple of i(-17) and 1?
4
Let k(t) be the second derivative of t**5/20 - 5*t**4/6 - 5*t**3/3 - 3*t**2/2 + t. Suppose 15 = u - 7. Calculate the smallest common multiple of u and k(11).
88
Suppose -3*i - 13 = -19. Calculate the smallest common multiple of i and 12.
12
Suppose -d + 2*d - 26 = 5*t, 8 = 2*t - 5*d. What is the smallest common multiple of (-3)/2*t/9 and 1*(0 - 2) + 6?
4
Let x = 9 + -5. Suppose 3*o = 10 + 17. What is the lowest common multiple of x and o?
36
Let g(w) = 6*w**3 + 2*w**2 - w - 1. Let p be (-2 + 3)/(-1)*-1. Calculate the lowest common multiple of 1/(-1)*2*-8 and g(p).
48
Suppose -5*a + 2 = -3. Let x(b) = 14*b**3 - b**2 + 2*b - 1. Let z = -55 + 69. What is the least common multiple of z and x(a)?
14
Calculate the common denominator of (-9)/((-144)/344) + 3/(-2) and -133/72.
72
Let b(t) = -t + 7. Let g = -586 + 593. What is the lowest common multiple of g and b(0)?
7
Let g = 0 - -18. Let x = 27 - g. Suppose 3*i = x + 3. What is the least common multiple of i and 2?
4
Suppose 0 = 3*y - 2*q - 18, 0 = 3*y - q - 16 + 1. Let s = y + 4. Calculate the smallest common multiple of s and 2.
8
Let d = -308534/921 - -335. Let f be (-969857)/40524 - 6/(-33). Let j = d + f. Calculate the common denominator of 18/5 and j.
20
Let y = 5285 + -47519/9. Let d = -4474320033/528856 - 6/66107. Let h = -8472 - d. Calculate the common denominator of h and y.
72
What is the lowest common multiple of 2/7 - (-770)/49 and 12?
48
Let f(x) = -x**3 - x**2 - x + 8. Suppose -z + 5*q + 5 = 0, 4*z + 2 = -3*q - 1. What is the lowest common multiple of 2 and f(z)?
8
Let d = -229292 - -911175/4. Let j = -1516 - d. What is the common denominator of ((-226)/(-20))/((-2)/2) and