
Let p(w) = 53*w**2 - 6*w - 17. What is the lowest common multiple of 69 and p(-2)?
207
Suppose -2 = -4*s - 2*v, -5*s - v - 3*v = -1. Let o be s + 2/(-2) + -2. Let a = 6 + o. What is the least common multiple of a and 9?
36
Let s = 4 - -1. Suppose 0 = -12*t + 16*t - 4. Calculate the least common multiple of t and 0 + s - (-2 - -4).
3
Let n = 728 + -716. Suppose -76 = 4*j - 380. What is the least common multiple of j and n?
228
Find the common denominator of (2 - 39/18)/(1749/(-4323)) and -49/18.
954
Let j be 17161489/42 - 4/(-14). Let y = 404255 - j. Let l = 4341 + y. What is the common denominator of 75/8 and l?
24
Suppose -114 = -4*d - 2*i, -54 = -4*d + 2*d + 2*i. Suppose -227 - d = -5*o. What is the common denominator of 103/14 and o - 2 - 5/(-10)?
14
Let j = -3/136 - -7729/2040. Find the common denominator of -55/48 and j.
240
Suppose a = -2 - 1. Let v = 1665 - 3427/2. What is the common denominator of 87/(-20)*1/a and v?
20
Let t = -24/61 + 2133/305. Let j be (-6)/(-2)*(-19124)/47985. Let a = -2/457 + j. Calculate the common denominator of t and a.
5
Suppose 2*q + 4*w = 39924, -5*q - 4*w + 99786 = -2*w. Let k = q + -13389. Let a = k + -91853/14. Find the common denominator of a and 19/12.
84
Let p be (41/(-2))/(42/7551). Let h = p - -3683. Find the common denominator of (-62)/(-8) - (-2)/3 and h.
84
What is the least common multiple of 33 and ((-45)/30)/(5/330*-3)?
33
Let p = 18351 - 734113/40. Calculate the common denominator of p and -69/4.
40
Calculate the smallest common multiple of 10 and 6 + (3942/24 - 1/4).
170
Let p be 1/3 + (-8781)/(-18). Let k = p - 482. Find the common denominator of k and (-2 + 1084/(-16))*(-4)/6.
6
Suppose 4*d - 2*t = 72, 0 = 5*d + t - 100 + 10. What is the smallest common multiple of d and 2?
18
What is the common denominator of -63/188 and 57/266*(-218)/6?
1316
Suppose -3*a + 6*a + 60 = 0. Let s = a + 44. Let j = -3 + 25. What is the lowest common multiple of j and s?
264
Calculate the least common multiple of 16 and 35 - -6*9/18.
304
Suppose 3*y - 37 - 31 = -4*c, -4*c + y = -52. What is the smallest common multiple of ((-2)/4)/(1/(-44)) and c?
154
Suppose 2*y - 59752 = -5*m + 716718, -2*y - 3*m + 776462 = 0. Let g be 9/(-12) + y/220. Let r = -1761 + g. Calculate the common denominator of r and -27/5.
55
Let r(q) = -q - 24. Let m(f) = f + 25. Let g(k) = -2*m(k) - 3*r(k). Calculate the smallest common multiple of 12 and g(-2).
60
Let v(l) = -l**3 + l**2 - 2*l - 11. Calculate the lowest common multiple of v(-2) and 271.
1355
Suppose -7*q + 29 = -27. Let u(h) = 11*h - 64. Calculate the least common multiple of 4 and u(q).
24
Let g(m) = -2*m**3 + 12*m**2 - 6*m + 10. What is the least common multiple of 102 and g(5)?
510
Let w(f) = -f**2 + 12*f - 9. Let c be w(11). Suppose -c*d = -5*d + 24. Calculate the least common multiple of d and (-2)/7*2/(-4)*7.
8
Suppose 4*a - 105 = -t + 112, 2*t = 2. Suppose r + 216 - 238 = 4*i, 0 = r - 3*i - 19. Calculate the least common multiple of a and r.
270
Let j be (-44)/(-12)*(0 + 3). Let y = 14 - j. Suppose -c + 7*s - 11*s = 11, 0 = -3*c - s. What is the least common multiple of y and c?
3
Suppose -5*k + s = 3*s + 15683, 3*k - 5*s + 9385 = 0. Let r = k - -34448/11. Find the common denominator of r and 2.
11
Let n(l) = -2 + 0*l - 3*l + 5*l. Suppose -55 = -3*t - u - 15, 2*t - 20 = -4*u. What is the lowest common multiple of t and n(5)?
56
Suppose 18*f - 20 = 14*f. Suppose -q + 4*q - f = -2*u, 0 = -5*q - u + 13. What is the smallest common multiple of 1 and q?
3
Let m be 5 + 1*(-26 - -1). What is the common denominator of 79/20 and ((-312)/m)/(16/(-6))?
20
Let n(q) = 37*q**3 - 3*q**2 - 6*q - 10. Let c be n(6). Let x = c + -47155/6. What is the common denominator of x and (-39)/4*50/15?
6
Suppose 0 = 29*a - 9*a - 880. Calculate the least common multiple of a and 108.
1188
Let z = 2 + -11. Let d = 13 + z. Calculate the smallest common multiple of d and ((-28)/(-6))/(2/6).
28
Suppose 45*v - 236*v = -2292. Let n(k) = -k - 8. Let d be n(-6). Calculate the lowest common multiple of v and 6/(d/(-6)*1).
36
Find the common denominator of (-75)/(-180)*10/(-15) and 13/744.
2232
Let d be -1*(2 - (0 + 5)). Suppose -2*s = -d - 11. Calculate the lowest common multiple of s and 6*(-9)/(-234)*13.
21
Let g = -20 + 8. What is the smallest common multiple of 12 and 220/18 - g/(-54)?
12
Let p(w) = 2825*w**2 - 1. Let f be p(1). Let x = f - 28319/10. What is the common denominator of x and -51/2?
10
Let n = -1523/98 - -2/49. Let z(l) = -2*l. Let w be z(-1). What is the common denominator of (-9*w/(-49))/(8/14) and n?
14
Let f be 4/5*40/16. Suppose -2*u = 4*a - 6, -6*u + f*a + 52 = -2*u. What is the smallest common multiple of 1 and u?
11
Suppose 72 + 72 = 3*c. Let r = c + -30. Find the common denominator of -35/12 and r/(-40)*(-217)/(-21).
60
Suppose 14 = 3*p + 4*u, 2*p + 1 = 3*u - 1. Suppose 4*k - 19 = 13. What is the lowest common multiple of k and p?
8
Let c(w) = -54 + 6*w**2 + w**3 + 2*w**2 - 8*w + 64. Let z be c(-9). Suppose -s = z - 6, 0 = 4*j - 4*s - 12. What is the least common multiple of j and 8?
8
Let w(x) = x**3 + 8*x**2 + 6*x - 5. Let b be w(-5). Suppose 0 = 7*m - 2*m - b. Calculate the smallest common multiple of m and 8.
8
Let k(p) = -48*p. Calculate the least common multiple of k(-1) and (-63)/234*-22 + 5/65.
48
Let x = 50 + -23. Suppose -4*r = 2*j + 4, 2*j - r - 7 + 1 = 0. Suppose -3*w + j*w + 11 = o, -3*o - x = -2*w. What is the lowest common multiple of 18 and w?
36
Let u = 25123/6 + -330145/78. Let t = u + 3415/104. Calculate the common denominator of t and -3/32.
32
Suppose -3*t + 3 = -3*v - 8*t, 0 = -4*t - 12. What is the common denominator of -27/2 and (((-38)/(-36))/1)/(v/6)?
12
Suppose -24 = 12*o + 12. What is the common denominator of -77/2 and o - ((-162)/140 + (3 - 6))?
70
Let o be -1*14 - (-2)/4*-4. What is the common denominator of -6*(-10)/225*(-34)/o and -91/18?
90
Let q = 85 - 72. Let g = 43 - q. Calculate the smallest common multiple of g and 42.
210
Suppose 6 = 3*s - 48. Calculate the lowest common multiple of 248 and s.
2232
Let z be 9 + (1 - -4)*-1. Calculate the least common multiple of -1*9*z/(-6) and 5.
30
Suppose 0*h - 6*h = -384. Suppose -4*v + 4*p + h = 0, 0*v - 2*p + 32 = 2*v. Calculate the lowest common multiple of v and 28.
112
Suppose -2 + 3 = -p, 0 = 2*v - p - 71. Calculate the smallest common multiple of v and 35.
35
Suppose 0 = -2*j - 3*c + 18, -5*j + 6 = -3*c - 18. Calculate the smallest common multiple of (-2 - 10)/((-3)/2) and j.
24
Let p(v) be the first derivative of v**3/3 + 3*v**2/2 + 4*v - 3. Suppose -3*d = 4*a + 16, -a - 3*a = 16. What is the least common multiple of 2 and p(d)?
4
Suppose -2*i + 148 = -258. Calculate the lowest common multiple of 77 and i.
2233
Let g be 3*(17 + 2/(-1)). Let y = g - 34. What is the least common multiple of y and 4?
44
Calculate the common denominator of -1*(6 + -2) - (-36 + -1) and 21/479.
479
Suppose 15 = 7*l - 111. Calculate the smallest common multiple of 90 and l.
90
What is the lowest common multiple of 70 and (-105)/2*(-260)/78?
350
Let s be (-5330)/(-9120) - 1/6. Let t = s - 2/19. Find the common denominator of (214/(-6))/((-168)/(-36)) and t.
112
Let t = 44454 + -7734889/174. What is the common denominator of -29/138 and t?
4002
Let v = 1 + 7. Suppose 4*j - 2*g - 62 = 0, 5*g + 17 = j + 4*g. What is the smallest common multiple of j and v?
56
Let m be (20/24)/(-1 - (-3)/4). Let k = 7/2 + m. Find the common denominator of -17/7 and k.
42
Let c(r) = -2*r - 8. Calculate the smallest common multiple of -2*10*(-36)/144 and c(-6).
20
Find the common denominator of ((-134)/(-3))/(256/12) and -89/88.
352
Calculate the common denominator of (-2)/5 + 243/20 and (224/(-77) - 5)/(-2).
44
Let r = 38 - 42. Let a = 9 + r. Calculate the least common multiple of a and 3.
15
Let y = 911/1930127 - -169409031851/16664716518. Let q = 2/4317 + y. What is the common denominator of q and 207/(-12)*1 - 1?
12
Suppose 0 = -4*y + 3*u + 8, -y = 2*u - 9 - 4. Suppose 20 = -y*x, 2*w - x + 10 - 30 = 0. Let p = 74 + -56. What is the lowest common multiple of w and p?
72
Let d(j) = -j**2 - 4*j. Let c be d(-4). Suppose 4*p - 9 + 1 = c, 0 = -4*r + 3*p + 46. Find the common denominator of (-82)/(-16) + r/(-26) and 21.
8
Suppose 0 = -15*g +