= 23 + q. Suppose -a*n + 35 = 2*n. Calculate the smallest common multiple of 1 and n.
5
Suppose 2 = -4*r - 3*c, c - 6 + 0 = 2*r. Suppose 0 = 4*y + 3 + 5. Calculate the common denominator of y/(-3) - 161/30 and r.
10
Let y(f) be the first derivative of -f**4/4 - f**3 - f**2/2 + 3*f - 5. Let t(p) = p - 11. Let u be t(8). What is the lowest common multiple of 1 and y(u)?
6
Let k be 2 + (-291247)/(-82420) - (-20)/130. Let z = k - 1/25360. What is the common denominator of z and 83/44?
176
What is the common denominator of 74/3 and (-51)/(-18)*272/(-1598)?
141
Let y(m) = 16*m + 164. What is the lowest common multiple of 6 and y(-10)?
12
Let o(u) = u**3 - 17*u**2 - 18*u + 3. Let p be o(18). Calculate the common denominator of (p - (-183)/(-15)) + -1 and -14/33.
165
Let p(a) = 2*a**2 + 4*a - 1. Let q be (2 - (10 + -3)) + 2. Let c be p(q). Calculate the lowest common multiple of 2 and (8/5)/(1/c).
8
Let o be 180/3 - (0 - 2). Let c = -46 + o. Calculate the least common multiple of 8 and c.
16
Let x = 134 - 140. What is the lowest common multiple of 3 - ((-234)/x)/(-3) and 32?
32
Let u be 36/3 - (2 + 1). Suppose 2*b + 0*x = -x - 8, 0 = -4*b + 2*x. Let f = u + b. Find the common denominator of f and -71/4.
4
Let d be (5 - -1)/(1/(-60)). Let j = -1449/4 - d. Find the common denominator of -29/18 and j.
36
Find the common denominator of 59/18 and (52 - 51)*46/108.
54
Let s = -134635 - -11309209/84. Find the common denominator of s and 5/24.
168
Suppose -5*s = -2*i - 0 - 5, -2*s - 17 = 3*i. What is the common denominator of -17/28 and ((-2)/i - (-174)/40) + 0?
28
Let d = 481/24 + -39/2. Calculate the common denominator of d and -113/12.
24
Suppose 2*k = 2*v - 9 - 5, 0 = -v - 3*k - 9. Suppose -78 = -v*r + 2*m, -3*r + 4*m - 17 + 101 = 0. What is the least common multiple of r and 12?
24
Let f = 739 + -721. Calculate the smallest common multiple of 432 and f.
432
Suppose 22*c + 60 = 32*c. Calculate the smallest common multiple of 1 and c.
6
Let r(w) = -w**3 + 22*w**2 + 28*w + 43. Let t be r(22). Let j = -6601/10 + t. Calculate the common denominator of j and (1/(-28))/(2/244).
70
What is the least common multiple of 8 and (-268)/(-6) + (-23)/(690/20)?
88
Let l be ((-16)/6 + 2)/(448/(-12616)). Let h = l - -52/21. Calculate the common denominator of -13/8 and h.
8
What is the smallest common multiple of 1 - -56 - (0 - 1) and 4?
116
Let x = 26 - 18. Let z = 22 - x. Let b = -4 - -24. Calculate the least common multiple of z and b.
140
Let o(d) = d**3 - 5*d**2 + 9. Let n be o(4). Find the common denominator of 34/25 and (-654)/945 - (-2)/n.
225
Suppose -s + 2*l + 34 = 0, 2*s + 8*l - 88 = 7*l. What is the smallest common multiple of s and 7?
42
Let z be 443/(-1)*(-7 - (-8)/2). Find the common denominator of -3/11 and z/(-110) + 6/33.
110
Let g = 138 - 120. Suppose -4*z = -4*q + z + 35, 5*q + 3*z - 53 = 0. Calculate the least common multiple of g and q.
90
Let a = -76/243 - 9041/2430. Calculate the common denominator of -15*-3*6/(-567) and a.
210
Suppose -38*h = 2 - 344. Let z(v) = -v**3 - 7*v**2 - 7*v + 2. What is the smallest common multiple of h and z(-7)?
153
Suppose -3*a + 292 = -a. Suppose a = -o - 9. Calculate the common denominator of ((-2)/15)/(12/o) and -7/2.
18
Let h be ((-74)/45)/(318/(-20511)). Let a = -13983 - -41593/3. Let u = a + h. Calculate the common denominator of 59/5 and u.
5
Suppose -5*o + 6*m + 236 = 2*m, 5*m + 64 = o. Let a = 68 - o. Calculate the least common multiple of a and 8.
24
Let g = -64654 - -1034809/16. Let x = -959/48 + g. Calculate the common denominator of 25/22 and x.
132
Calculate the common denominator of ((-165)/(-25))/((-3)/(15/14)) and 3/(-48)*(-516)/9.
84
Let s be -52 + -1 + (-12 - -10). Let t = s - -387/7. Calculate the common denominator of t and -38/5.
35
Let y(s) = s**3 + 7*s**2 - 4*s + 9. Calculate the smallest common multiple of y(-5) and 1.
79
Let d be (-6920)/(-33) - (-44)/66. Let r = 208 - d. Calculate the common denominator of r and (1/(-20))/((-4)/(-370)).
88
Let k = 4/725 - 7036/224025. What is the common denominator of k and 16/33?
3399
Let y(d) = 4892*d**2 - 9*d + 16. Let p be y(2). Let o = p - 234647/12. Calculate the common denominator of -71/36 and o.
36
Let z = 3 + 1. Suppose 0 = 2*y + 3*k + 2*k - 33, -4*k = 4*y - 48. What is the least common multiple of z and y?
36
Let k be (14/4)/((-136)/(-95936)). Let q = 2472 - k. Calculate the common denominator of 47/5 and q.
85
Find the common denominator of -53/30 and 2 + ((-24)/(-8) - 754/96).
240
Calculate the common denominator of (-6)/9*2*(-205)/400 and (-4 + 2)/12 - (-374)/120.
60
Let w(s) = 3*s**2. Let q be w(1). Suppose -8 = -q*k - 2. Calculate the least common multiple of k and 6 - (-6 + 7)*-3*1.
18
Let d = 1930 + -4172. Calculate the common denominator of 14/105 - d/60 and -8/5.
10
Let l = 93587/18 - 5201. What is the common denominator of l and 23/174?
522
Let f = 36011/9 - 4006. Calculate the common denominator of 1/(-2) - (-125)/(-6) and f.
9
Suppose -2*l = z - 3, 4 = 2*l + 2*l + 4*z. Suppose -8*q + 24 = -l*q. Calculate the lowest common multiple of 24 and q.
24
Suppose 0 = -3*c + 6. Let q be (10/c)/(-1) - -2. Calculate the common denominator of -41/4 and -4 + (-61)/6*q.
4
Let j be 14 + -4 + 4 + -2. Suppose -j = -3*q - 4*p, -2*q + 12 = q - p. Calculate the smallest common multiple of 7 and ((-32)/(-6))/q*12.
112
Let a(i) = 9*i - 6. Let z be a(4). Suppose -3*t = w + 25, w + z = -3*t + t. Calculate the common denominator of (-1 + 114)*(-4)/w and 73/22.
110
Let m(t) = -t**2 + 11*t + 18. Let g be m(13). Let s be (0 - -6)/(g/(-4)). Suppose -s*h + 0 = -120. Find the common denominator of h and 13/8.
8
Let p = 9263/6 + -1558. Let f = 13136 - 394033/30. Calculate the common denominator of f and p.
30
Let k be ((-5)/(-15))/(2/(-18)) + 24. Let y(c) = -c. What is the lowest common multiple of 63/6*(k/9 + -1) and y(-6)?
42
Suppose 5*r = 23275199 + 7600011. Let u = 123601229/20 - r. Let d = u - 5021. What is the common denominator of -127/18 and d?
180
Suppose -8*c + 5*c + 9 = 0. Let b(x) = 7*x - 1. Let t = -22 - -38. Calculate the smallest common multiple of b(c) and t.
80
Let d = 65803/22 - 2994. Suppose x + 820 + 398 = 0. What is the common denominator of x/(-1080) + (-2)/(-5) and d?
396
Let o be 2/(3/((-9)/(-2))). Suppose -5*g = -o*g - 216. What is the common denominator of -131/18 and 22/(-6)*g/(-80)?
180
Let m be 254/4 - 1/(-2). Let p be -10*6/(-120) - (-18)/4. Suppose -4*n + m = -p*g, 2*g - 3*n + 48 = -7*n. What is the common denominator of -86/15 and g?
15
Let j(q) be the third derivative of q**4/8 - q**3/3 - 11*q**2. Let k be j(3). What is the lowest common multiple of 10 and (72/42)/(2/k)?
30
Let p = -924 + 983. What is the smallest common multiple of 10 and p?
590
Let t be (-5 + 2)/(21/35). Let p = 7 + -5. What is the common denominator of 12 - (t/p)/(-5) and -121/6?
6
Let n(t) = -5*t**2 - 4*t - 1. Let r be n(-3). Suppose -3 - 49 = 2*l. Let j = l - r. Calculate the lowest common multiple of j and 4.
8
Let h(w) = -2*w - 34. Let z(a) = a + 33. Let g(s) = 2*h(s) + 3*z(s). Calculate the lowest common multiple of 6 and g(15).
48
Let n = 2/122065 + -1001077/8788680. Calculate the common denominator of n and -37/320.
2880
Let i be (-4)/6*9/(-2). Suppose -4*o + 4*b - 138 = -14, 0 = -4*o + i*b - 129. Calculate the common denominator of 9/o - (-16)/10 and 1/6.
60
Suppose b + 3*w = 28 + 151, -b + 3*w = -185. What is the smallest common multiple of 1/4 + b/104 and 22 - (-2 + 0 + 2)?
22
Suppose -o - 4*o - 45 = -5*j, -4*j + 39 = -5*o. Suppose -l + j*x - 2*x = -34, 2*x = -2*l + 18. Calculate the lowest common multiple of l and 132.
924
Let u = 5080 + -61013/12. What is the common denominator of 1/(-4) - 291/12 and u?
12
Let s be 106741/16*12/10. Let m = 8005 - s. Calculate the common denominator of 1855/(-140) + -3 + 19 and m.
40
Let w = -140 - -140. Suppose -5*n - 2*b - b + 47 = w, -4*n + 45 = -5*b. What is the lowest common multiple of 8 and n?
40
Suppose 0 = 5*x - 3*m - 27 - 23, -2*x - m + 20 = 0. Calculate the lowest common multiple of 11 and x.
110
Let w(c) = c**2 - 9. Suppose -u = -2*u + 5*i - 14, 24 = -4*u + 4*i. Let m be w(u). Suppose 7 + m = 7*z. What is the smallest common multiple of z and 4?
4
Suppose -2*y - 4*o = 2*y - 188, 0 = -y + o + 49. What is th