 15. Let v(s) = -5*s**3 - 2*s**2 - 2*s + 1. What is the least common multiple of v(-1) and u?
66
Suppose x - 772 = -4*l, x + 4*l - 769 = 3*l. Suppose x = 17*a - a. Calculate the smallest common multiple of 8 and a.
48
Suppose q - 4 = w, 3*w = -139*q + 134*q + 36. Suppose -3*s = c - 28 - 4, 0 = -2*c + 3*s + 19. Calculate the lowest common multiple of q and c.
102
Suppose 35 = 5*d - 55. Let i = 117973/12 + -9822. Calculate the common denominator of (-2)/((-44)/d) - (-9)/(-6) and i.
132
Suppose 13*f - 35 = 18*f. Let n = f - -16. Suppose -3*r + 27 = n. What is the least common multiple of r and 2?
6
Let g be (2 - 2 - -3) + -13*27. What is the lowest common multiple of 10 and 1/(2 - g/(-176))?
220
What is the common denominator of (548/135 - 1) + -3 and 1/165?
1485
Let k = -1 - -3. Let d(j) = -j**2 + 24*j + 543. Calculate the least common multiple of k and d(-14).
22
Let j = 1288 - 6478/5. Find the common denominator of -83/138 and j.
690
Let d = -1 + 2. Find the common denominator of ((-3)/8 - -1)*556/(-417) and d - (-123)/(-27)*1.
18
Let p(c) = -4021*c + 12. Let v = 10 + -17. Let u be p(v). Let t = 619389/22 - u. Calculate the common denominator of t and 35/22.
22
Suppose 5*w + 61 - 1 = 5*j, w - 16 = -3*j. Let d = 14 + -9. What is the least common multiple of j and d?
35
Find the common denominator of 1236/(-180) + -2 + (6 - 3) and 187/120.
120
Let o(f) = -2*f**2 - 12*f. Let z be -6*(-3)/(27/(-21)). Let l = 6 + z. Calculate the common denominator of 1 and o(l).
1
What is the common denominator of -8 + (-522)/(-63) + 412/126 and 83/2?
18
Let l = 170 + -167. Calculate the lowest common multiple of l and 315.
315
What is the common denominator of -13/150 and (-1076)/(-240) - 238/34?
300
Let w = -255439/44088 - -4/1837. Calculate the common denominator of w and 11/210.
840
Calculate the common denominator of (-888)/(-80)*5/42 and 23/14.
28
Find the common denominator of ((-897)/(-90) + -5 + -5)*124 and 13/15.
15
Let d = 1177 + -1132. Calculate the smallest common multiple of 189 and d.
945
Let f(n) = 10*n**2 + n - n - n + 49*n**2. Let l be f(-1). Let t = -42 + l. What is the lowest common multiple of t and 6?
18
Let k = 23 + -14. Let s = 30 + -15. Let m = s - k. What is the least common multiple of m and 26?
78
Suppose -70 = -5*d - 25. Let w be 4 - 2/(0 - -2). Suppose 0 = w*a + 4*p - 6, -3*a - p + 6 = -6*p. What is the least common multiple of a and d?
18
Let x(j) = 18*j + 18. Calculate the lowest common multiple of 198 and x(0).
198
Suppose 26*z - 24*z = -12, -2*a + 60 = z. Suppose -4*m - 2*c + c = -136, -2*m + 5*c + 46 = 0. Calculate the lowest common multiple of a and m.
33
Let w = -21 + -12. Let o = w + 117. What is the smallest common multiple of o and 12?
84
Let v = -2/921 + 17198/2763. Suppose 896 + 1204 = 7*q. Let s = q - 1456/5. Find the common denominator of s and v.
45
Suppose -3*q + 7*q + 4*n = 44, -3 = n. Let p(h) = h**3 - 10*h**2 + 19*h - 78. What is the least common multiple of p(9) and q?
84
What is the common denominator of 5 - 11/((-495)/280)*-1 and -49/335?
3015
Let n = 15834 + -411579/26. Calculate the common denominator of n and -15/4.
52
Let m be (-6)/(80/38 + -2). What is the common denominator of -2 - (-4 - m/(-18)) and 47/29?
174
Let k be 162/12*(-251932)/22. Let p = 1862061188/12045 + k. Let u = p + -2/219. Find the common denominator of -55/4 and u.
20
Let t = 194 + -150. Suppose 96 = 2*p + q + 3*q, t = p + 4*q. What is the lowest common multiple of p and 8?
104
Let m(c) = -7*c**3 + 2*c**2 + 6*c - 18. Let d(p) = -p**3 - p**2. Let x(k) = -6*d(k) + m(k). What is the smallest common multiple of 27 and x(8)?
270
Suppose 121 = 3*l - n, 5*l = -0*l + 4*n + 190. Suppose 85*h = 88*h - l. Calculate the smallest common multiple of h and 14.
14
Let r be -2 + (-2963)/(-1330) - (-2)/(-7). Let p = 7123/855 - r. Find the common denominator of p and 53/18.
18
Let v be 0/6 + 0 - (29 - 1). Let w be (1 + -1*6)*-7. Calculate the common denominator of -43/8 and ((-166)/(-32))/(w/v).
40
Let r = -681 - -2707/4. Let b(h) = 197*h**2 - 6*h - 6. Let c be b(6). Let j = c - 42427/6. Find the common denominator of j and r.
12
Let w = 51660 - 341420938/6609. Let c = 495667/26436 + w. What is the common denominator of -53/2 and c?
4
Let r = 11588 + -695299/60. Find the common denominator of r and -43/8.
120
Suppose 17*l = 21*l + 8. Let r = 147/2 - 853/12. Calculate the common denominator of r and 6/l - (-273)/65.
60
Let s = -1383 + 13871/10. Calculate the common denominator of -41/45 and s.
90
Let x = -1997145/188 + 10623. What is the common denominator of -3/10 and x?
940
Let l(c) = c - 2. Let w be l(3). Let j(n) be the first derivative of 5*n**4/2 + 42. Calculate the least common multiple of j(w) and 14.
70
Let v be 4/16*-1 - 747/(-12). Let r = 72 - v. Calculate the smallest common multiple of 22 and r.
110
Let q be -6*1/6*-8. Let m = -38 + q. Calculate the lowest common multiple of 27/(-36) - m/8 and 9.
9
Let f = 69253/3 + -4570795/198. Calculate the common denominator of f and -65/22.
198
Suppose 0 = -4*x + 5*x - 8. Find the common denominator of x/(-108) + (-4)/(-6) and -27/8.
216
Let x(a) = -a**2 - 9*a - 9. Let p be x(-6). Suppose -k = -0 - p. Suppose -56*u = -63*u + 56. Calculate the smallest common multiple of k and u.
72
Let y(x) = -x**3 - 9*x**2 + x + 14. Suppose -5*t + 0*t = -4*s - 56, -16 = -4*t. What is the least common multiple of 3 and y(s)?
15
Calculate the common denominator of 59/60 and 17/((-1020)/(-8))*(-485)/(-12).
180
Let v = 159335/24 + -6645. Calculate the common denominator of ((-67)/402)/(19/86) and v.
456
Let q = -5 - -17. Let h = 18 - q. Suppose -3*y = y + 4, 3*m - 27 = -3*y. Calculate the lowest common multiple of h and m.
30
Suppose 28 = 4*z + 3*p, 0 = 5*z + p - 4*p - 35. Let d = 47 - z. Find the common denominator of (-132)/32 + 0/2 and d.
8
Let z = -145 + 67. Let a = 323/4 + z. Find the common denominator of a and 40/3.
12
Let x(a) = a**2 - 6*a + 2. Suppose -5*o + 18 = -4*o. Suppose -3*d + 3 + o = 0. What is the lowest common multiple of x(6) and d?
14
Let p = -42/65 + -1603/1040. Find the common denominator of (-5)/40 - 6/(432/(-1281)) and p.
48
Suppose 0 = 4*a + 5*k - 20, 2*a = 2*k + 2 + 26. Calculate the smallest common multiple of 50 and a.
50
Suppose -2*g + 12 - 8 = 0. Suppose -35 = -3*l - 0*y + 5*y, -g*l + 4*y + 26 = 0. What is the smallest common multiple of l and 10?
10
Let b = -23058 + 38128. Suppose 3002 = -i + 2*k, -8*i + 3*i - 5*k = b. Let x = i + 14992/5. Find the common denominator of 26 and x.
5
Let w = 1471517/78 - 18866. Find the common denominator of 4/9 and w.
234
Suppose 0 = -q + 5*h + 88, -q + 4*h = -29 - 58. Calculate the common denominator of (-86)/28 + 2/(-2) and 1 - (-5)/40*q.
56
Let h be 6/16*-2 + (-187)/(-4). Let y = h + -31. What is the lowest common multiple of y and 12?
60
Let m = -71467/8 + 8927. What is the common denominator of 75/8 - (-3 + 2) and m?
8
Let k = -3 + 4. Suppose 4*v + k - 25 = 0. What is the lowest common multiple of (v/(-15))/((-3)/105) and 6?
42
Let f(a) be the third derivative of a**6/120 - 7*a**5/20 + a**3/6 + 43*a**2. Calculate the lowest common multiple of 2 and f(21).
2
Let k = -135853/140 + 6772/7. Let d = 14 - 4. Calculate the common denominator of d*3/(-2)*14/116 and k.
580
Suppose 22 = 4*n + 2. Suppose 4*k = 13 + 3, -4*k + 51 = n*b. Let h(p) = 2*p - 5. Calculate the least common multiple of 11 and h(b).
99
Let l(k) = -14*k + 38. Let h be l(25). Let j = h - -3127/10. What is the common denominator of j and 49/19?
190
Let m(l) = -3*l - 6. Let d be m(-4). Suppose -d*t + 2*t + 4*o = -40, -4*o = -2*t + 30. Suppose 4*a = t*a - 26. Calculate the least common multiple of 4 and a.
52
Let q = 611 + -602. Let a = 54 - 36. Calculate the smallest common multiple of a and q.
18
Let z = 1116 + -6757/6. What is the common denominator of z and 29/592?
1776
Suppose 2*v - 32 = -4*m, 5*m + 170*v - 166*v = 37. Let i be 8/(-10) - 3/15. Calculate the smallest common multiple of m and (-60)/(-8) - i/(-2).
63
Let o(m) = m - 35. Let v be o(30). Let j = v - -8. Suppose 0*x + 21 = 3*x + 3*k, 0 = 4*x - k - 13. Calculate the lowest common multiple of x and j.
12
Let i = -25 + 27. Calculate the lowest common multiple of 9 and (i + (-20)/12)*39.
117
Suppose -50 = -5*g + 3*o, 40 = -0*g + 4*g - 3