2
Let i(j) = 5*j. Let p be i(3). Let y = 39 + p. Suppose 4*d = d + y. Calculate the lowest common multiple of 8 and d.
72
Suppose 10 + 14 = 6*w. What is the smallest common multiple of 6 and w?
12
Let c = -1/25103 - 1631671/602472. What is the common denominator of 59/213 and c?
1704
Let g(h) = -5*h**3 + h**2 + 7*h + 1. Let p(b) = b + 1. Let f(m) = -g(m) + 4*p(m). Calculate the least common multiple of 5 and f(2).
165
Suppose -6*m = -2*m - l + 259, -239 = 4*m - 5*l. What is the common denominator of (172/m)/(2 - (4 - 0)) and 50/3?
33
Let h = 106 + -103. Suppose 0 = 2*i - h*g - 3, -3*i - 2*i + 2*g + 35 = 0. What is the least common multiple of 3 and i?
9
Let r = 143291 + -80959393/565. Calculate the common denominator of r and 71/40.
4520
Let m = 28 - 19. Let f be 7089/m*441/57. Let l = f - 6096. Calculate the common denominator of l and -107/10.
190
Find the common denominator of -8/309 and -17*22/(-1683) + (-386)/144.
2472
Let z = 794766001/870 - 913524. Calculate the common denominator of -61/18 and z.
2610
Let c = -2198369/11614074 + -2/56379. Find the common denominator of 27/7 and c.
1442
Let s be 4/2 + 19190/840. Let c = 44/21 - s. Find the common denominator of -49/5 and c.
20
Let s = -58631/12208493 + 20/6017. Let d = s - -54813/20290. What is the common denominator of (-226)/(-60) + 2/(-3) and d?
10
Let f = -860 + 910. Calculate the smallest common multiple of f and 10.
50
Suppose 5*o = 7*o + 50. Let t = -24 - o. Let p(f) = 9*f**2 + 2*f - 1. What is the least common multiple of 10 and p(t)?
10
Let v = -50 + 50. Suppose -4*q - 28 - 40 = v. Find the common denominator of q and -91/4.
4
Let r = -366/5 + 76. What is the common denominator of r and 55/16?
80
Suppose 3 = -3*d - 5*a - 5, 0 = -3*a - 3. Calculate the common denominator of -23/6 and (-351)/144 - (-3 + (d - -2)).
48
Let z = -1331 + 1898. Calculate the lowest common multiple of 3 and z.
567
Let t = -14 + -17. Let n(r) = -r**2 + 12*r + 4. Let d be n(12). Suppose 5*s + 5*c = -50, 3*c + 2*c = d*s + 67. What is the common denominator of s and t?
1
Let v = -1559/3 + 508. What is the common denominator of v and -37/210?
210
Let a(j) = 2*j**3 - 4*j**2 + 8*j - 19. What is the smallest common multiple of 77 and a(4)?
77
Let t = -1243/30 + 127/3. Calculate the common denominator of 79/40 and t.
40
Let o(l) = 2*l**2 + 11*l + 10. Let f be o(-4). Let s be 59 - 2*(3 + f). What is the lowest common multiple of 1/(-3)*(0 - s) and 3?
57
Suppose -3*m - 2*q + 2 = -1, 3*m - 3*q - 18 = 0. Calculate the least common multiple of 16/(15/(-6)*4/(-5)) and m.
24
Let k = 528 - 6457/12. Calculate the common denominator of k and -11/6.
12
Find the common denominator of 1/7 and (-7)/(-1) + (-1253)/147.
21
Suppose 120 = 4*c + 4*p, 59*p = -3*c + 57*p + 89. Calculate the least common multiple of 174 and c.
174
Let m = -263 - -279. What is the lowest common multiple of 36 and m?
144
Let u(a) be the second derivative of -2*a**3 - a**2 + 2*a. What is the smallest common multiple of 18 and u(-1)?
90
Let c(x) = 3*x**2 + 4*x - 11. Let y be c(-5). What is the common denominator of ((-14)/(-35))/(y/85) and -45/14?
154
Let y(x) = -2 + x**3 + 6 - 6 - 2*x + 2*x**2 + 9. Calculate the lowest common multiple of 1 and y(0).
7
Let b be (-714)/432 + (-6)/(-10). Let c = 16/15 + b. What is the common denominator of c and -25/14?
504
Suppose -2*r = -0*r - 18. Let n = -7375 + 132701/18. Find the common denominator of r*(-1)/42*-31 and n.
126
Let u(y) = -y**2 - 3*y - 3. Let b be u(-2). Calculate the common denominator of -18/7 and (-8 + -8)/(b + 6).
35
Calculate the lowest common multiple of 18 and 2 - ((-51657)/469 - 2/(-14)).
1008
Let x = 203719/3 - 68538. Let b = -611 - x. What is the common denominator of b and 2/41?
123
Let y be (-1)/(-2) - (-25)/(-10). Find the common denominator of ((-16)/40 - 363/(-20)) + 3 and y - -5*8/14.
28
Let b = 2/15929 + 764554/302651. Let v be (3150/(-40))/(-5) + (-1)/(-4). Calculate the common denominator of 6 - (8 + -6) - (-62)/v and b.
152
Suppose 169*l - 165*l = -h + 604, 0 = 5*h - 20. What is the least common multiple of 100 and l?
300
Let a = 51577/47770 + 12/1405. Find the common denominator of 0 + 14/44*-14 and a.
374
Let o(r) = r**3 + 4*r**2 - 7*r - 17. Let q be o(-4). Let g(v) = v**2 - 9*v. What is the lowest common multiple of g(q) and 26?
286
Suppose 0 = -5*a - 4*s - 3 - 3, 4*a - s + 9 = 0. Let o = 7 - 2. What is the common denominator of (5 - -5)/(o - a) and 76/3?
21
Find the common denominator of -32/7 and (-249)/(-333) - 1/(-3).
259
Suppose 0*k - 3*k - 12 = 0. Calculate the common denominator of (-5)/(-15) + (-1 - (-28)/3) and k/(-16) - 126/(-16).
24
Let r(f) = -42*f**2 + 3*f - 2. Let o be r(2). Let y = -92 - o. Suppose k + 0*k + 2 = 0, -3*c + y = -3*k. What is the least common multiple of c and 20?
220
Let n(b) = 2*b - 30. Let v(f) = f**2 - 5*f - 16. Let j be v(-4). Calculate the least common multiple of n(j) and 7.
70
Let o(g) = -44*g + 2. Let m be o(5). Let f = 20933/70 + -1462/5. Calculate the common denominator of f and (0 + 1)/(44/m) - -1.
154
Let w be ((-2)/4*0)/2. Suppose 5*q = -w*q + 5. Suppose -4*l + 8 = -20. What is the lowest common multiple of q and l?
7
Suppose 4*k - 16 = -0*q + 2*q, -5*k - q = -6. Suppose 758 - 129 = -w - k*i, w + 4*i = -639. Let h = -4345/7 - w. Find the common denominator of h and 25/9.
63
Let r = -10609 + 721331/68. Calculate the common denominator of 9/8 and r.
136
Find the common denominator of 19/2 and (-406)/18 - 2/18.
6
Let u(m) = -m**3 + 10*m**2 - 19*m - 6. Let g = -8 - -19. What is the lowest common multiple of g and u(7)?
88
Let n(w) = -35*w**3 - w**2. Let f be n(-1). Let x = f - -140. Find the common denominator of -99/14 and x/(-80) - (-3)/(-15).
56
Suppose 10 = 2*i, 3*i - 4 = m + 25. Suppose 0 = -0*x + x + 20. Let t = m - x. Calculate the smallest common multiple of t and 1.
6
Let p(m) = 34*m + 190. Suppose -24 = -4*l + 2*l. What is the lowest common multiple of l and p(-5)?
60
Calculate the common denominator of -5 + 54/12 - (-35)/(-72) and 101/156.
936
Let a = 136/521 - -71641/46890. Find the common denominator of a and 61/90.
90
Let s = -383432/91685 + 2/8335. Let k be (-3)/2*376/6. Calculate the common denominator of s and 1*(3 + k/10).
55
Suppose 2*k - y + 85 = 4*y, -2*y = k + 56. Let v = -89/3 + 55. What is the common denominator of (k/(-8))/((-2)/8) and v?
3
Suppose -59*j = -63*j + 8. Calculate the smallest common multiple of j and 2.
2
Let h be (-12 - -8)*(-2)/4. Calculate the common denominator of 82/(-16) - (-6)/h and (1 - 0) + 195/27.
72
Suppose -3*u + 245 = -1174. Let t be 0 + -3 + 18530/40. Let k = u - t. What is the common denominator of 53/12 and k?
12
Let k = -37 - -53. Suppose 2*t + 0*t = 2*i + 34, 2*t = -5*i + 27. Calculate the smallest common multiple of k and t.
16
Let o(x) = -22*x + 40. Let t be o(-6). Suppose -5*b = -q + 24, -5 = -3*q + 4*b + 12. What is the common denominator of (q/2)/((-4)/t) and -6/5?
10
Let m = -10202 + 20395/2. Calculate the common denominator of (-95)/14 + (-1 - 0) and m.
14
Let a = 42 + -37. Let f be (-142)/(-4) + 1/(-2). Suppose -4*n + a = -f. What is the least common multiple of n and 10?
10
Let l = 17653/170 + -1041/10. Find the common denominator of l and -13/4.
340
Let s = 90 - 99. What is the common denominator of (-275)/135 - (-6)/s and -79/12?
108
Let x = 413 + -389. Suppose 0 = -4*o + 98 - 26. What is the lowest common multiple of o and x?
72
Let q(o) = 3*o - 4. Suppose -4*l = -3*l + 7. Let n = 10 + l. Calculate the lowest common multiple of q(n) and 11.
55
Let n(b) = b**2 + 3*b. Let d be n(-4). Let u = -404 - -414. Suppose -u = -w - d*w. What is the least common multiple of w and 1?
2
Let u = 191 + -161. What is the smallest common multiple of u and 9?
90
Let r be -12 + 0 + (3 - 1). Suppose 844 - 274 = 38*u. Let t = r + u. Calculate the smallest common multiple of t and 5.
5
Let t(r) = -5*r. Let h(v) = 25*v - 1. Let a(n) = 2*h(n) + 11*t(n). Let b be a(-2). Let m = b - -4. What is the least common multiple of m and 18?
36
Suppose 0 = -5*c + 564 + 96. Let x = c - 968/7. What is the common denominator of x and 40/7?
7
What is the smallest common multiple of 26*6/(-24)*-2 + 7 and 30?
60
Suppose 5*o = 41 - 16. Suppose -c - 1 = -o. Calculate the common denominator of -1/2 and 900/16*c/78.