ulate the common denominator of (-1956)/(-438) + (-1 - 3 - 1) and 65/9.
657
Suppose 0 = 5*b - 24 - 1. Suppose 0 = 2*r - 30 + 6. Let i = -9 + r. Calculate the least common multiple of i and b.
15
Suppose -28*h - 45 = -31*h. Calculate the lowest common multiple of 12/h - 1 - (-261)/5 and 6.
156
Let s(a) = -3*a + 20. Suppose 4*x - 12 = -2*h, -5*h + 3*x = 5*x - 30. What is the smallest common multiple of 6 and s(h)?
6
Let a(k) = -k**2 - 10*k - 7. Let v be a(-9). What is the common denominator of ((-1)/20)/(26/364) and (0 - v) + 116/40?
10
What is the common denominator of 0/(-1) - 4*(-357)/(-1232) and -2 - (138/(-80))/(27/(-18))?
220
Calculate the common denominator of 136/(-30)*(-51)/1530 and 181/30.
450
Let k(x) = -2*x**3 - x**2 + 2*x + 3. Let r = -3408 - -3415. Calculate the lowest common multiple of r and k(-2).
77
Let w = 1701 - 10303/6. Let k be 2/2 - (1 - -2). Find the common denominator of w and (k/3)/(4/183).
6
Let s(l) = l**2 + 3*l - 52. Calculate the least common multiple of s(7) and 478.
4302
Calculate the smallest common multiple of 704/20*5/2 and 33.
264
Let q be -10 - ((-8)/4 - -2). What is the lowest common multiple of (6/15)/((-2)/q) and 3?
6
Suppose 0 = 2*g - g - 22. Suppose u + u = 5*t + 12, 18 = 3*u + 4*t. Suppose 75 + 81 = u*a. Calculate the smallest common multiple of g and a.
286
Let o be -1 - (-14)/8 - 416/(-128). Suppose r - 80 = -o*r. What is the lowest common multiple of r and 4?
16
Let w(b) = 2*b + 63. What is the lowest common multiple of w(-4) and 15?
165
Let l = -1529 + 2810. Let w = l - 2621/2. What is the common denominator of 23/6 and w?
6
Let d = 5110 + -92035/18. Let r be 6/(-4) + 2193/5542. Let q = -17747/2934 - r. Find the common denominator of d and q.
18
Suppose 114 = 5*l - 6. Calculate the lowest common multiple of l and 3.
24
Suppose z + 4*z - 5*p = -325, z - 3*p + 75 = 0. Let b = z - -69. Calculate the lowest common multiple of b and 3.
9
Let r be 2/(-4) - 1/2. Calculate the common denominator of 66/330 - (1 + (-3)/(-10)) and (-30)/(-11)*r/(-3).
110
Let l = 87 + -69. Let s = l - 17. Calculate the smallest common multiple of s and 18.
18
Suppose 2*v + 2*v + 12 = -2*r, 2*v - 6 = -4*r. Suppose -3*y = 4*t - 8, t - r*y - 2 = -6*y. Calculate the smallest common multiple of 6 and t.
6
Let h(d) = 18*d + 169. Calculate the lowest common multiple of h(-9) and 821.
5747
Let n = 763 + -6875/9. Let d = 75971 + -5849623/77. Let z = -1/7 + d. Find the common denominator of n and z.
99
Let q(i) be the second derivative of i**4/12 - 2*i**2 - 4*i. Let t be q(-3). Let h(s) = -s + 8. What is the smallest common multiple of h(t) and 6?
6
Suppose -3*p = 2 + 7. Let f be p/(-5) - 17987/(-430). Let b = f - -3/43. Calculate the common denominator of b and -81/4.
4
Find the common denominator of -62/63 and ((-19)/(-741))/((12/(-51))/4).
819
Let w(r) = r**3 + 6*r**2 + r - 6. Let z be w(-6). What is the common denominator of 55/24 and (245/(-4) - 3/z)/(-9)?
72
Let c = 457/6 - 58. Let y = 149/300 + -2/25. Calculate the common denominator of y and c.
12
Let r(g) = -g**3 - g + 144. Let d be r(0). Find the common denominator of (-1534)/d - (-26)/(-117) and -143/18.
72
Let h be (-2)/4 + 213/(-2). Let b = h + 331/3. Let y = -25 + 273/10. Find the common denominator of b and y.
30
Let v be (-38)/(-247) - (-1582)/26. Suppose v*w = 68*w - 84. Calculate the least common multiple of 20 and w.
60
Suppose -1 = -2*y + 9. Suppose -2*v + 4 = -o - 4*v, -2*o + 19 = -y*v. What is the common denominator of -71/40 and (o/(-15))/(12/5)?
360
Let h = 60 + -35. Suppose h*u + 4 = 29*u. What is the lowest common multiple of u and 5?
5
Suppose i + 5 = 4*o - 3, -4*o - 5*i = -8. Calculate the smallest common multiple of o and (-12)/4*(-2)/3.
2
Let g = 3333 + -1683. Suppose -8*c + g = 3*c. What is the lowest common multiple of c and 4?
300
Let h = -324/5 + 2981/45. Let w = 1/2126 + 77587/25512. Find the common denominator of h and w.
72
Let j = 31027/594 + -576/11. What is the common denominator of 73/36 and j?
108
Let o = -855 + 1011. What is the least common multiple of o and 96?
1248
Let v(h) = h**2 - 25*h + 140. What is the smallest common multiple of v(18) and 18?
126
Let z = -128 - -138. Suppose i - 2*i = 10. Calculate the lowest common multiple of ((-14)/i + -3)*-5 and z.
40
Suppose -14*k = -322 + 28. Suppose 2*q - t - k = 0, 5*q + 0*t - 39 = -2*t. Calculate the smallest common multiple of 27 and q.
27
Suppose 3*f - 124 = -a + 8*f, -f = -2*a + 212. Suppose -5*q - 54 = -a. Suppose 0 = d + 2*d - 6. Calculate the lowest common multiple of d and q.
10
What is the common denominator of -17/11 and -4 + (-123 + -12)/(4416/(-129))?
16192
Suppose -861*z = -871*z + 1440. What is the smallest common multiple of z and 80?
720
Let f(x) = -7 - 14*x - x + 2*x**2 + 3 - 9*x. Calculate the smallest common multiple of 10 and f(13).
110
Find the common denominator of 55/24 and (6/(-8))/(18/352*50).
600
Suppose 5*f - 5*h - 5 = 0, 1 = 2*f - h + 4. What is the lowest common multiple of 6 - ((-4)/2 + 2) and (-200)/(-14) + f + 4/(-14)?
30
Let z = 58655/72242 - -69/881. Calculate the common denominator of z and -27/4.
164
Let t be (196/6)/((-22)/(-33)). What is the lowest common multiple of (-14)/t*(-1 - 34) and 11?
110
Let w = -73 + 75. Calculate the common denominator of (2/12)/(w - (-1832)/(-920)) and 23/14.
42
Find the common denominator of (-516)/(-152) - 5 - 5/10 and -7/114.
114
Let s = 839/8 + -145. Let y = -1539/40 - s. Find the common denominator of y and 43/2.
20
Let d(n) = -n**2 + 13*n - 2. Calculate the least common multiple of 6 and d(12).
30
Suppose -18*o + 104*o = 516. Calculate the least common multiple of 282 and o.
282
Let s be -1 - (-1750)/582 - 2. Let w = s + 8708/3201. Calculate the common denominator of 41/(-6) - (0 + 2) and w.
66
Suppose -3*a + a + 116 = 0. Suppose 3*v - 2*p = -a, v - 3*p + 37 = -v. Let q = v - -30. Calculate the lowest common multiple of q and 2.
10
Let b(w) = 0*w + 9 + 6*w + 5*w + w**2 + 8. Let v be b(-9). What is the common denominator of 2 - v/4*-23 and -55/8?
8
Let v be (7 + -9)*1/2. Calculate the smallest common multiple of v/(45/(-84) - 4/(-14)) and 6.
12
What is the lowest common multiple of (-4)/(-6)*189/18 and 70?
70
Suppose -18706 = -0*f - 5*f + 2*u, 2*u = -5*f + 18694. Find the common denominator of -37/8 and f/1050 + (-4)/30.
56
Let u = -671399/128 - -26737957/4480. Let g = -5045/7 + u. What is the common denominator of -63/44 and g?
440
Suppose -g = -6 + 1. Suppose -2*u = 4*f - 64, u = g*f - 0*f - 66. Let c = -50 - -55. What is the least common multiple of f and c?
70
Calculate the smallest common multiple of -1*(-4 + 7)*1 + 143 and 70.
140
Let u(x) = 7*x + 9. Suppose -7*m = 2*m - 27. What is the lowest common multiple of m and u(0)?
9
Suppose 0 = -27*s - 1572 + 6432. What is the lowest common multiple of 110 and s?
1980
Suppose 4*z - 33 = -3*p, 2*z = -0*z - 2*p + 18. Let b be (968/24)/(2/z). Calculate the common denominator of 11 and 3/(60/b)*2.
10
Let z(u) = 4*u**2 - 15*u + 11. What is the smallest common multiple of z(5) and 4?
36
Let b(p) = -p**2 - 7*p + 3. Let s be b(-7). Calculate the common denominator of -42 and 168/(-44) + s - -1.
11
Let c = -1561867257/747976 + -16/93497. Let v = c + 2094. Calculate the common denominator of -43/9 and v.
72
Calculate the lowest common multiple of 300/38 - (-38)/361 and 1.
8
Let o(u) = -4*u**2 + u - 17. Let b(j) = -3*j**2 + j - 16. Let i(a) = -5*b(a) + 4*o(a). What is the lowest common multiple of i(0) and 10?
60
Suppose -4*p + 2*d = -78, 0 = -6*d + 3*d - 9. Suppose -7*j + 90 = 5*u - 2*j, -u + 5*j + 18 = 0. What is the least common multiple of u and p?
18
Suppose -1190 - 1530 = -17*k. What is the lowest common multiple of 7 and k?
1120
Suppose p = -4*i - 4*p - 6965, 2*i + 5*p = -3475. Let w = -8777/5 - i. Find the common denominator of -16/3 and w.
15
Let b(j) be the second derivative of -j**5/20 - 3*j**4/4 + 9*j**2 + 12*j. What is the lowest common multiple of 22 and b(-9)?
198
Let c(t) = -6*t + 18. Suppose 4*s - 1 = -17. What is the smallest common multiple of c(s) and 4?
84
Let k be (3/5)/(17/85). Suppose o - 64 = -k*o. What is the least common multiple of 5 and o?
80
Suppose -6*r + 5*r = 4*i - 23, -r + 5*i - 13 = 0. Calculate the smallest common multiple of r and 1.
7
Let s = 16