and 20?
20
Let p(t) = 5*t**2 + 2*t + 1. Suppose 2*w = 1 - 3. Suppose 4 = f + 3*f. Calculate the lowest common multiple of f and p(w).
4
Let x = 475/2046 - 3/2728. What is the common denominator of x and 23/20?
1320
Let l(d) = 1155*d - 6. Let f be l(9). Let a = f - 124799/12. What is the common denominator of a and -21/8?
24
Let a = 267 + -241. What is the lowest common multiple of 50 and a?
650
Suppose -2*j + 206 = 2*g, -2*g = -76*j + 75*j + 118. Calculate the lowest common multiple of j and 156.
1404
Let n(k) = k**2 + 4*k + 77. Let w be n(0). Let t = w + -94. Let j = -2/777 - 5781/1295. What is the common denominator of t and j?
15
Suppose 9*y + 3*t = 10*y - 15, 5*y - 4*t = 64. What is the least common multiple of y and 4?
12
Suppose 5*m - 45 = -2*l, -10 + 7 = m. Let t = -15377/14 - -1102. What is the common denominator of (-104)/l + (-2)/(-12) and t?
70
Let v = -1438095 - -11527833/8. Let h = v + -2894. Find the common denominator of ((-28)/(-21))/(6/(-51)) and h.
24
Let t = 11078 + -476381/43. Let b = t + 851/602. Let q = -313/36 + 49/9. What is the common denominator of q and b?
28
Let v = -90 + 92. Suppose 0 = 2*p - 34 - v. Calculate the lowest common multiple of p and 20.
180
Let s(f) = -44*f - 951. Calculate the least common multiple of 105 and s(-24).
105
Let r = -100761/140 - -5016/7. Suppose -2*o - 6 = 0, 5*k + 1122 = -o + 264. What is the common denominator of r and 2/8 + k/38?
20
Let p(u) = -u**3 - 5*u**2 + 13*u - 4. Calculate the least common multiple of 39 and p(-7).
39
Let u be -2*(174975/(-58326) + 3). Let q = 398521/388840 - u. Find the common denominator of -51/2 and q.
40
Let v(r) = -r + 3. Let t(m) = -2*m + 5. Let y(o) = -6*t(o) + 13*v(o). Let a(l) = l**2 - 17*l - 4. Calculate the least common multiple of y(-7) and a(18).
112
Let i(v) = v**2 + 6*v + 2. What is the lowest common multiple of i(-10) and 15?
210
Find the common denominator of -79/74 and -4 + ((-289)/(-170) - (1 - 6)).
370
Suppose 15*g - 58 = 2. What is the lowest common multiple of g and 4*-2*(-1)/((-4)/(-6))?
12
What is the common denominator of ((1 + 0)/(-538))/(4/116) and 97/8?
2152
Let v(g) = 2*g + 11. Let a be v(8). Suppose -8*i = i - a. What is the least common multiple of 8 and i?
24
Suppose -5*d + 14 + 6 = 0. Suppose l - 1 = 0, -5*q + l + d + 15 = 0. Suppose 5*n - 9 = -q. Calculate the least common multiple of n and 5.
5
Let t = -2328 + 2400. What is the smallest common multiple of t and 8?
72
Let r(v) = 2*v**2 + 7*v + 1. Let y(b) = b**2 + 8*b + 6. Let s be y(-8). Suppose -3*l + s + 12 = 0. Calculate the least common multiple of l and r(-4).
30
Let s be 2 - 6/2 - -7. Suppose s*t - 7*t + 118 = 0. Calculate the common denominator of -81/4 and (-4)/(-8) + t/(-14).
28
Let o(t) = 20 - 19 + t - 6*t + 0*t**2 - 2*t**2. Calculate the least common multiple of 3 and o(-2).
3
Suppose -5*h = -2*f - 76, 61 = 2*h - 4*f + 21. Calculate the lowest common multiple of h and 6/(-9 - (-1323)/144).
224
Let w = 2546861/21 - 119105. Let d = -94195/42 - w. Let k = d - -4442. What is the common denominator of 63/4 and k?
12
Suppose 15 = -3*w - 3*n, -w + 7 = 3*w - 5*n. Suppose 0 = 5*x - 4*i + 85, -4*x - 85 = x + 2*i. Calculate the smallest common multiple of 2*w - (-7 + x) and 16.
80
Let z(a) = 3*a**2 - 5*a + 19. Let k be z(4). Let p = 53 - k. Calculate the least common multiple of 18 and p.
18
Let n(p) = p**3 - 46*p**2 + 47*p - 81. Calculate the lowest common multiple of n(45) and 54.
54
What is the common denominator of 614/(-3256) - (-6)/33 and (1/6)/(2/28*-6)?
1332
Let z = 29717/18 + -4966/3. Let x = 12277/3150 - -7/225. What is the common denominator of x and z?
126
Let f(u) = u**3 - 2*u**2 + 3*u. Let z be f(3). What is the common denominator of ((-62)/(-3))/(64/z) and -71/18?
144
Let k = -1766 - -42391/24. Calculate the common denominator of 77/39 and k.
312
Let o = 1717/6 + -282. What is the common denominator of (-42)/(-280)*41/(-3) and o?
60
Let j = -21929/8 + 2748. Let m = 3218 - 38671/12. Let a = j + m. Find the common denominator of a and -63/2.
24
Let a be ((-6)/4049)/(2/(-4)*-1). Let m = 287767/97176 + a. Find the common denominator of m and -31/9.
72
Let d(s) = s**3 - 2*s**2 - 8*s - 4. Let i be d(-13). Let f = 68167/28 + i. Calculate the common denominator of 2 + -4 - 92/(-88) and f.
308
Let o = -135/77 - -10403/2464. Calculate the common denominator of o and -101/32.
32
Let n(c) = c - 16. Let i be n(-7). Let a(h) = -3*h - 54. What is the least common multiple of a(i) and 30?
30
Let r = 1999 - 27899/14. Find the common denominator of ((-1)/2)/(6/129) and r.
28
Calculate the least common multiple of 53 and (0 - 3)*-1 - (-14 + 10).
371
Suppose -4*v = h - 2 - 24, -3*v + h + 16 = 0. Suppose 0 = -m - 0*m + 3*x + 29, 5*x = m - 39. What is the lowest common multiple of v and m?
42
Calculate the common denominator of 23/396 and 4556/51*2/(-32).
396
Suppose 5*r - 1 - 9 = m, 5*m - 37 = -4*r. Suppose -l = 0, 4*t + 10 = -r*l + 42. Calculate the smallest common multiple of 4 and t.
8
Let p(q) = -q**2 - 26*q - 100. Calculate the least common multiple of p(-8) and 110.
220
Suppose 6*j - 240 = -2*j. Find the common denominator of j and (-241)/(-136) + (-5)/(-2 - -42).
17
Suppose 4*f - 4 - 16 = -2*j, -16 = -2*f + 2*j. Let p(r) = r**2 - 6*r + 2. Suppose 20 = 5*l - l. Calculate the smallest common multiple of l and p(f).
10
Calculate the common denominator of -4 + ((-3335)/(-430) - 3) and -3/10.
430
Let r(q) = q**2 - q + 106. Let h = -36 - -36. Calculate the least common multiple of 16 and r(h).
848
Let b = 112 + -77. Calculate the smallest common multiple of 9 and (-2)/3 - b/(-21).
9
Let m(j) be the second derivative of -j**3 - 17*j**2 + j - 12. Calculate the least common multiple of m(-7) and 332.
664
Let n(x) = -114*x**3 - 4*x**2 - 2*x. Calculate the smallest common multiple of 8 and n(-1).
112
Let n = -21 + 37. Let d be (9/6 + 4)*2. Let p(j) = j**2 - 4*j - 23. What is the lowest common multiple of p(d) and n?
432
Let a = -18 - -36. Let i be (8 - 9) + 3*2. Suppose 0 = 5*w, 2*h + w = i*w + 36. What is the least common multiple of h and a?
18
Let f(g) = -g**2 + 13. Let r be f(0). Suppose -4*p = -4*v - 2*p + 14, -3*v + r = p. What is the smallest common multiple of v and (-102)/(-136) - (-74)/8?
20
Let t(m) = -2*m + 2. Let q = -1 - 3. Let z be q/(-24)*3*-12. What is the least common multiple of 20 and t(z)?
140
Let v be 1/(-8 - -4) + (-141)/(-4). Find the common denominator of 65/2 and ((-54)/v)/((-15)/70).
10
Suppose 15 = -d - 4*d. Let t = 1 - d. Suppose 8*m = 5*s + t*m - 42, -3*m = 3*s - 9. Calculate the least common multiple of s and 2.
6
Let w be 3 - (88/(-1))/4. Suppose -2*u + 4*g - 4 = -0*u, 5*g = w. Calculate the least common multiple of u and 5.
40
Find the common denominator of 11/24 and 9 - 507/65 - (-106)/20.
24
Let w be ((-2)/(-15))/(-2 + 647/325). Let b = w - 1/18. What is the common denominator of b and 1 + 2 + 94/(-4)?
2
Let h = -5 - -13. Suppose 0 = 2*o - 107 + 99. What is the lowest common multiple of h and o?
8
Let s = 0 - 5. Let g = -1 - s. What is the smallest common multiple of (-18)/10*160/(-24) and g?
12
Suppose 0 = -0*a + 5*a - 2*o + 39, -o + 16 = -2*a. Find the common denominator of a and -44/3.
3
Let i be 3 - (3/(2 - 3) - 197). Suppose i = 12*p + 59. Calculate the smallest common multiple of 2 and p.
12
Calculate the common denominator of (-793)/480 - (12/10)/(-2) and 56/27.
864
Suppose 0 = -0*w - 10*w + 270. What is the smallest common multiple of 4/(-4) - 1*-25 and w?
216
Suppose 9*h + 16*h - 6700 = 0. What is the lowest common multiple of 20 and h?
1340
Suppose 7 - 3 = -4*g. What is the common denominator of (-204)/9 + g - 0 and ((-22)/6)/(21/(-9))?
21
Let j = -16502/9 - -1837. Find the common denominator of 39/11 and j.
99
Suppose 0 = -r - 0 + 4. Suppose -2*u - 25 = -5*j, -u + r*u + 2*j = 10. Suppose u = 4*w - 5 - 11. Calculate the lowest common multiple of w and 10.
20
Suppose -6 + 0 = -3*u. Let g be (-8)/u*4/8. What is the common denominator of (3 - (-8)/12)*g and 31/10?
30
Let g be ((-2)/6)/((-2)/18). Let a(h) = -h + 9. Let m be a(4). Suppose 0 = r - g*d + 7, -m*d + 11 = -r - d. What is the lowest common multiple of r and 7?
35
Let a = 5771/3 - 1889. Let w = 563/21 - a. What is the common denominator of w and -10/9?
63
Let u = -5 + 8. Calculate t