r of 103/22 and u/(-48)*(-1 - 66).
132
Let y = 1 + -7. Find the common denominator of 2/(-1) - 206/(-28) and 71/((-3)/(y/16)).
56
Let y(k) = -4*k. Let p be y(-2). Suppose -5*r + q + p + 9 = 0, 4*q + 20 = 4*r. Suppose -v + r*v = 24. Calculate the least common multiple of v and 20.
60
Find the common denominator of 37/24 and 3/6 + 2*22/12.
24
Let p be (-2)/8 + (-21)/(-4). Let k = -20 - -20. Suppose p*s - 43 = 3*s + 5*i, k = i + 3. Calculate the smallest common multiple of s and 20.
140
Calculate the smallest common multiple of 8 and (-3)/(-3) + 1 + 6.
8
Let o be -3 + (3 - (2 + -1)). Let s be -6 + o/1*-3. Let z = 1 - s. What is the least common multiple of z and 1?
4
Suppose 4*v - 156 = 8. What is the smallest common multiple of v and 4?
164
Let t be (-2)/14 - (-1970)/13545. Let o = t - 32123/774. Let a = 7270 + -58259/8. Find the common denominator of a and o.
8
Let y = -8075 + 48559/6. Let h be ((-4)/8)/((-183)/(-2)). Let m = h + 3116/915. What is the common denominator of y and m?
30
Let f(u) = -u**3 - 8*u**2 - 6*u + 6. Suppose -3*r = -3*o + 27, 3*o - 5*o = 5*r + 31. Let i be f(r). Calculate the lowest common multiple of 4 and i*1*(3 + -5).
4
Find the common denominator of -91/6 and 2 - (-4 - (-309)/(-18)).
6
Suppose -5*h + 5*m = -5, 2*m = -4*h - 0*h + 4. Calculate the lowest common multiple of (-34)/(-16) - (-1)/(-8) and h.
2
Suppose 0 = -n + 2 - 11. Let z = n - -12. What is the least common multiple of z and 10?
30
Let c = 1919/14 - 137. Suppose 1780 = -3*r - r. Let n = -9803/22 - r. Calculate the common denominator of n and c.
154
Let z(r) = -r**2 - 3*r + 3. Let k be z(-3). Suppose 0 = -x - k*y + 11, 4*x + y = -0*x + 33. What is the least common multiple of 12 and x?
24
Let c(a) be the second derivative of -a**5/20 + a**4/4 + a**3/6 + a**2 + 2*a. Calculate the least common multiple of c(2) and 10.
40
Let x = -1125 + 3425/3. Find the common denominator of 31/10 and x.
30
Let a(h) = -h**3 + 7*h**2 + 4. Let p be a(7). Suppose 18 = 3*b + 4*o, p*o = -4*b + 37 - 9. Calculate the lowest common multiple of b and 10.
10
Let m = -271272830227973/29520 - -9189459015. Let y = m - -1/3690. Find the common denominator of -49/8 and y.
16
Let a(n) = 16*n**2 - n + 1. What is the least common multiple of a(1) and 2?
16
Let o = -10 - 10. Suppose 3*u - 8*u = 10. Find the common denominator of -113/6 and (0 - u)/(o/385).
6
Let b = 19207/15 - 1283. Let t = 169/105 - b. Find the common denominator of t and (-1)/(-3) - (-11)/(-3).
21
Suppose 2*d + 5*y = 5*d - 40, -d - 3*y = -4. What is the smallest common multiple of d and 8?
40
Let i = 12/4699 + -672173/84582. Find the common denominator of i and (65/13)/(22/(-15)).
198
Let g(c) = 2*c**2 + 4*c - 2. Let h be g(-4). Let a(d) = d - 6. Let j be a(0). Let v = h + j. What is the smallest common multiple of 8 and v?
8
Suppose y - 20 = -y. Calculate the smallest common multiple of (-4)/(1*(0 - 2)) and y.
10
Let x be (54/(-1300))/(6/155). Let a = x - 15/26. Calculate the common denominator of a and -79/18.
180
Let d = 10 - 19. Let f be (2/3)/((-8)/24). Calculate the least common multiple of (-70)/d + f/(-9) and 22.
88
Let n = -13 - -35. Suppose -4*h = 5*w - 31, w + 4*h = -w + n. What is the common denominator of -101/8 and 105/8 + (w - 4)?
8
Let n(w) = -12*w + 3. Let b be n(2). Let r = b - -15. Calculate the smallest common multiple of (r/12)/(2/(-8)) and 12.
12
Suppose 2*t - 4*v + 46 = -2*v, -t - 5*v - 47 = 0. Find the common denominator of ((-162)/(-8))/((-20)/(-8)) and ((-11)/4)/(t/(-12)).
90
Suppose -4*a + 11 = 3. Calculate the lowest common multiple of a and 28.
28
Calculate the common denominator of 77/(-5)*40/96 and 99/56.
168
Let t = -948/31 + 988826/32333. Let o = t - -1339/1043. What is the common denominator of 11/10 and o?
70
Suppose 6*r - 1 - 11 = 0. What is the least common multiple of r and 8?
8
Let w be (-3)/6 - (-1886)/2796. Let o = w + 1296091/11184. Let b = o + -116. Find the common denominator of b and 37/8.
16
Let h = 55 + -39. Let r = -2 - -24. What is the least common multiple of r and h?
176
Let u = -37 - -9. Let h = 5692 - 91107/16. What is the common denominator of h and 203/u*(-2)/8?
16
Suppose -7 = 4*y + 9, 0 = -5*i + 2*y - 122. Let m = i - -126. What is the smallest common multiple of m and 8?
200
Let m(x) = 2*x - 7. Let j be 9 - (-1)/((-2)/4). Calculate the smallest common multiple of m(j) and (-3 - -2 - 0)/(-1).
7
Let g = 25654/20401 - -3/887. What is the common denominator of -19/4 and g?
92
Suppose m + 4 = -1. Let i be (8/m)/(8/(-100)). What is the least common multiple of 8 and (-8)/i - 32/(-5)?
24
Let q = -22677/1588 + 12/397. Find the common denominator of 91/4 and q.
4
Let w(v) = v + 26. What is the least common multiple of 4 and w(-6)?
20
Let w(b) = -4*b + 26. Let v = -20 + 28. Calculate the smallest common multiple of w(4) and v.
40
Suppose 2 = c + 2*b + 3*b, 5*b - 8 = -4*c. Suppose 0 = -h - 4*o + 16, 5*h + c*o - o = 137. Find the common denominator of 67/10 and (h/(-6))/(88/60).
110
Let g = -642 - -1335/2. Find the common denominator of g and 61/14.
14
Suppose 0 = -2*v + 5 + 3. Suppose 2*k + 2*k = 64. Calculate the common denominator of k and 2/v - (-105)/(-8).
8
Let q = 9265/4 - 2341. Suppose -4*b + 952 = u, 3832 = -2*u + 6*u + 4*b. Let l = u - 4749/5. Calculate the common denominator of q and l.
20
Let m(v) be the third derivative of v**4/24 + v**3/6 - v**2. Let j(x) = -x**2 + 7*x - 6. Calculate the smallest common multiple of j(5) and m(7).
8
Let m be (-8377)/(-116)*4/45. Let p = m + -5/261. Find the common denominator of p and (-6)/15 + (-77)/45.
45
Let o(h) = 3*h - 3. Let g be o(2). Let s(y) = y - 1. Calculate the smallest common multiple of g + (1 - 28)/(-3) and s(7).
12
What is the common denominator of (-3)/7*(3045/12)/(-5) and 47/8?
8
Let z(b) = -b**3 + 11*b**2 + b - 6. What is the lowest common multiple of 11 and z(11)?
55
Let d be -2 + 2 + 3 + -2851. Let a = -28539/10 - d. Find the common denominator of a and -67/4.
20
Suppose 5*g - g - 20 = 0. Suppose -4*m - 16 = -g*m. Let w(y) = 3*y**2 - 3*y + 4. Calculate the lowest common multiple of w(3) and m.
176
Suppose 6 + 6 = -c + 5*d, 0 = 2*d - 8. What is the lowest common multiple of c and 5?
40
Let j = 26303 + -604823/23. Let o = -1339847/113022 + 2309/351. Let x = j + o. Find the common denominator of -49/4 and x.
28
Let n be (0/1 - -1)*-1. Let s be 2 - (n + 2)*-41. Suppose -4*k = -s - 13. What is the lowest common multiple of k and 16?
112
Let p be 6/(1 + -3) - -109. Let a = -4/2007 - -68282/22077. Calculate the common denominator of (2/18)/(2/p) and a.
99
Let i = 7185 + -100529/14. Let p(u) = 10*u + 3. Let d be p(-3). Find the common denominator of i and (d/(-30))/(24/130).
56
Let r = -25 + 29. What is the smallest common multiple of 11 and r?
44
Let d(h) = -h + 5. Suppose 0 = -0*i + 3*i - 15. Let x be d(i). Let q = x + 3. What is the lowest common multiple of q and 8?
24
Suppose -l - 2*w = 12, l - 4*l = -2*w + 4. Calculate the common denominator of 160/18 - l/(-4) and -26.
9
Let c(h) be the first derivative of h**3/3 - 3*h**2 - 8*h + 4. Suppose 10 + 6 = 4*v. What is the least common multiple of v and c(8)?
8
Let f(y) = y**3 + 11*y**2 - y + 14. What is the smallest common multiple of 55 and f(-11)?
275
Let i = 2203 + -8711/4. Find the common denominator of -45/2 and i.
4
Let a = -12 - -16. Let i(r) = -r**3 + 6*r**2 - 4*r + 6. What is the least common multiple of 12 and i(a)?
132
Let f = 2636/13 + -70574/351. What is the common denominator of 29/15 and f?
135
Let s(q) = 118*q + 1. Let u be s(1). Suppose -4*x = 0, 5*v + 3*x - u - 161 = 0. What is the smallest common multiple of 120/v - 2/14 and 22?
22
Let u = 4366981 - 43601649/10. Let r = u + -6805. Find the common denominator of r and 2/(4/(-1)) + 10.
10
Suppose 6*g - 45 = -4*j + g, 0 = g - 5. Let f(u) = u. What is the lowest common multiple of f(4) and j?
20
Let l = 3989/948 + -23/79. Find the common denominator of l and 25/58.
348
Suppose 4*j + 5*g - 19 = 13, 3*g - 16 = -2*j. Let y(f) = f**3 + 3*f**2 + 2*f + 1. What is the smallest common multiple of y(-2) and j?
8
Let i = -5 - -23. Let w be 2*-1 + 725/i. Let s = w + -271/6. Find the common denominator of s and -101/6.
18
Suppose 3 = g + 6. Find the common denominator of 107/18 and 2 + 174/(-44) + g.
198
Let u = -47