
70
Let i(n) = 3*n**2 + n - 1. Suppose 3*f = h + 31, -49 = -0*f - 5*f + 3*h. Calculate the least common multiple of i(1) and f.
33
Calculate the common denominator of (-12)/(-54) + (-1034)/(-288) and -77/18.
144
Suppose 0 = -2*b + 9 + 5. What is the least common multiple of 5 and b?
35
Suppose 5*c + 3*i = 37, i - 23 = -3*c - 4. Suppose 3*w = 2*w + 4, -5*y - 3*w = -77. Let b = y - 12. What is the lowest common multiple of c and b?
5
Suppose -n + 1 + 4 = 0. Suppose 0 = 2*s + 2*s + 5*t + 2, 3*t = -4*s + 2. Calculate the smallest common multiple of s and n.
10
Let f = 1499 + -47963/32. Let u = 1419/32 + f. What is the common denominator of ((-1)/(9/(-109)))/((-8)/(-4)) and u?
18
Let w(h) be the second derivative of h**4/6 - h**3/2 - h**2/2 - h. What is the smallest common multiple of w(3) and 20?
40
Let w = -1202/53 - -2/159. Find the common denominator of -25/17 and w.
51
Let r = -1190 + 4703/4. Find the common denominator of r and 19/48 + (-2)/(-4).
48
Find the common denominator of 5/12*-106*(-4)/40 and (-6)/(-9) - (-77)/6.
12
Let t = -519/5 + 108486/1045. Let m = -566839058/266314279 - 8/182033. Let o = t - m. Calculate the common denominator of 18/7 and o.
7
Suppose -20 = t - 2*t. Suppose -4*c = -3*c - 12. What is the smallest common multiple of (c/(-9))/(6/(-45)) and t?
20
Suppose -155 + 19 = -5*o - 2*k, -4*k + 12 = 0. What is the least common multiple of 9 and o?
234
Let w = 101 + -92. What is the least common multiple of 11 and w?
99
Let m = 17 - 14. What is the smallest common multiple of m and 6?
6
Let g = -2927/2964 - -229/76. Find the common denominator of g and 53/3.
39
Let i = -38 + 233/6. Find the common denominator of i and (5/15)/(15/(-486)).
30
Calculate the smallest common multiple of -5*2/(-5) - -4 and 14.
42
Suppose 11 + 9 = 2*f. Let k(h) = -65*h + 15. Let w be k(f). Let v = w - -1327/2. What is the common denominator of v and -6/5?
10
Calculate the smallest common multiple of 7 and 3 + (18/3 - 1).
56
Suppose -17 = -6*p + 1. Calculate the smallest common multiple of 11 and p/(-1) + 3 - -4.
44
Let y = -440052/37 - -68431172247/5753759. Let r = 55420054043/2799126 - y. Let f = -19792 + r. Calculate the common denominator of f and 97/20.
180
Let q = 2015 - 2931. Let d be (q/15)/((-15)/(-25)). Let g = 102 + d. Find the common denominator of g and -151/6.
18
Let v be -3 - (0 - 11149/(-5944)). Let d = -1/1486 - v. Find the common denominator of d and -15/7.
56
Let t(l) = 0 + 0 - l. Calculate the common denominator of -4/7 and t(4).
7
Find the common denominator of -17/15 and 16/64 + 55/18.
180
Let m = -26259/22 + 1193. Find the common denominator of (3/18)/(6/(-238)) and m.
198
Calculate the common denominator of -93/4 and ((-1)/(-2))/((-9)/303).
12
Let r(n) = n + 5. Let d be r(-7). What is the common denominator of (d/4)/((-45)/(-710)) and 16/7?
63
Suppose 80 = -114*w + 119*w. What is the least common multiple of 6 and w?
48
Let p be (-111)/51 - 4/(-2). Let n = -11/34 + p. Find the common denominator of -35/12 and n.
12
Find the common denominator of 107/6 and 11/(11 + -3 + -4).
12
Let w = 76 - 68. What is the smallest common multiple of 2 and w?
8
What is the common denominator of -2*1*((-41)/(-12) + 7) and -9/16?
48
What is the common denominator of ((-1)/20)/(-6 + 424/70) and -1 + (-62)/36 + 1?
72
Suppose 3*w - 2*w - 9 = 0. Suppose 2*j + w = 3*j. Let p(c) = 2*c - 3. Calculate the least common multiple of j and p(2).
9
Let c(o) = o**2 + 5*o + 3. Let m be c(-4). Let p = 4 + m. Suppose 0 = 2*n - p*n + 2. What is the least common multiple of n and 2?
2
Let k = -11 + 23. Let c be 18578/k + (-3)/9. Let z = c - 1528. What is the common denominator of z and 13/8?
24
Let j = -57 + 99. What is the common denominator of 79/4 and (1/1)/((-16)/j)?
8
Let l = -75211737787158179/29860 + 2518812383683. Let n = -4/7465 + l. Let m = n + 368. Calculate the common denominator of m and -2/9.
36
Suppose -2*d = -l - 50 + 222, -2*d + 4*l = 160. Calculate the common denominator of -31 and ((-2)/(-8))/(d/(-1696)).
11
Suppose 0 = 2*m + 4*i + 4, 3*i + 23 = -m + 2*m. Let v be (-16)/3 + (-1)/(-3). Let a = v + 9. Calculate the lowest common multiple of m and a.
8
Let r be (-1390030)/(-275484) + 1 + -3. Let a = r - 2/6261. Calculate the common denominator of a and 21/2.
22
Let j = 12945 - 155441/12. What is the common denominator of 43/18 and j?
36
Let c(l) be the second derivative of 7*l**4/12 - l**3/3 - l**2 + 2*l. Suppose 10 = 5*t - 0*t. Calculate the lowest common multiple of 10 and c(t).
110
Suppose i = -0*i + 9. What is the smallest common multiple of i and 2?
18
Let w(p) = -15*p**2 + 3*p - 2. Let t be w(2). Calculate the common denominator of 71/20 and 428/t*(2 + -1).
140
Let d = 73 - 55. Calculate the smallest common multiple of d and 2.
18
Let f = -2967/16448 + -299775197/16448. Let z(k) = k**3 - k**2 + k - 18232. Let x be z(0). Let w = f - x. Find the common denominator of w and -87/20.
80
Suppose -7*d + 15 = -2*d. Suppose -g + d*g = 20. What is the lowest common multiple of g and 26?
130
Let r(x) = 3*x - 1. Let w be r(6). Suppose w = 3*s - 4*b, 14 + 7 = 3*s - 3*b. What is the least common multiple of s and 1/(-1)*(-1 - 0)?
11
Let j = -164/9 + -107/18. What is the common denominator of 17/7 and j?
42
Let l = 0 - -12. What is the common denominator of l and -106*(89/(-44)*2 + 4)?
11
Suppose 2*b = -2*b. Suppose b = 4*f + f - 50. What is the smallest common multiple of f and 2?
10
Suppose 0 = 4*f - 9*f. Suppose 3*d - 43 + 16 = f. Calculate the lowest common multiple of 3 and d.
9
What is the common denominator of -37/2 and 200/192*2/5?
12
Let r = 83 + -15. Calculate the common denominator of 113/6 and 94/(r/4 + -3).
42
Let f = 16 - 13. Let o(p) = 9*p**2 - p. What is the least common multiple of 0/(f + -1) + 5 and o(-1)?
10
Let g = 100 + -114. Find the common denominator of g and -33/4.
4
Find the common denominator of -11/3 and ((0 - 1) + 0)/(9/(-25)).
9
Let r(j) = 3*j**2 - 2*j - 4. Calculate the least common multiple of 6 and r(-2).
12
Let l(v) = v - 10. Let b be l(13). What is the common denominator of (b - (-225)/24) + -2 and -31/6?
24
Let x be 20 - -4*3/(-6). Let a = 20 - x. What is the least common multiple of 9 and a?
18
Let i(p) = p**3 + 5*p**2 - 9*p - 10. What is the smallest common multiple of 8 and i(-6)?
8
Let n(w) = 2*w - 3. Suppose 19 = k - 3*r - 2*r, -8 = -2*k - 5*r. Let z be n(k). Calculate the common denominator of (z/22)/((-5)/(-10)) and -39/5.
55
Let o be ((-1)/(-2))/((-2)/(-20)). Suppose -6 = -o*y + 174. Suppose b - y = -3*b. What is the least common multiple of 7 and b?
63
Let j(n) = -7*n + 3. Let i be j(-5). Suppose 4*t = 2 + i. Calculate the lowest common multiple of t and 28.
140
Let r be (-14)/(-2) - (-8)/4. Find the common denominator of -83/6 and 2 + 1/r*-82.
18
Let u be 3*-1 - (-2 + 31). What is the common denominator of (u/(-6) - -1)/(-1) and -51/2?
6
Let l(s) = s**2 - 3. Let c(v) = 3*v**2 + 2. Let r be c(5). Let w = r - 55. What is the smallest common multiple of l(-5) and w?
22
Let q = -9600147/290978 - 5625/1993. Let x = q - 50/73. What is the common denominator of x and -95/6?
6
Let w(v) = v**2 - 11*v - 10. What is the smallest common multiple of w(12) and 12/(-9) + (-25)/(-3)?
14
Let o = -20/111 - 517/74. Suppose z - 3*d = -8*d + 13, 5*z = -4*d + 2. Calculate the common denominator of 73/6 + (z - -2) and o.
6
What is the common denominator of 13/19 and ((-3)/6)/((-5)/(-435))?
38
Suppose 4*m = j - 11 + 142, -94 = -3*m + 5*j. What is the smallest common multiple of m and 15?
165
Let g(j) = -j + 2. Let s be g(-5). Let a(v) = -v**2 + 9*v - 10. Let l be a(s). Find the common denominator of (1/(-2))/(l/(-172)) and 17/7.
14
Calculate the lowest common multiple of 67 - (-12 + 6 - -1) and 36.
72
Let w = -109667123 + 207928885313/1896. Let k = 5/237 + w. Find the common denominator of -93/2 and k.
8
What is the least common multiple of 15 + 3 + (-1 - -1) and 32?
288
Let j = -19823/88 - -1783/8. What is the common denominator of j and 25/32?
352
Let x = -62 - -76. What is the lowest common multiple of 2 and x?
14
Let u = -1221/28 + 391/7. Calculate the common denominator of -49/2 and u.
4
What is the common denominator of -29/18 and (-393)/9*(-3)/(-12)?
36
Suppose u - 28 = -3*u. Let z be 57/21 + 2/u. Suppose 0*t - 54 = -z*t. Wh