.
126
Let f = 364 + -308. Calculate the lowest common multiple of 36 and f.
504
Suppose 0 = -2*p - 3*p + 34515. Let n be 1070/36*6975/30. Let g = p - n. What is the common denominator of -17/6 and g?
12
Suppose z = 11 - 7. Suppose -2 - 70 = -z*t. Calculate the common denominator of -37/6 and (-18)/64*t/27.
48
Let k be (-3 + 2/2)/(-1). What is the common denominator of ((-91)/(-28))/(78/84) and (-198)/40 + (k - 3)?
20
Let q(w) = -w**2 + 7*w + 22. What is the least common multiple of 40 and q(5)?
160
Let n be -3 + (-5)/25*-5. What is the common denominator of 115/14 and 291/30 - 1*n?
70
Let s be (9076/30)/(720/(-100)). Let q = s + 68/27. Calculate the common denominator of -7/22 and q.
22
Let b(f) = -f**3 - 3*f**2 + 5*f + 4. Let t be b(-5). Suppose -x = 3*h - 2*h - t, 4*h = 3*x - 73. Let r = x - 21. Calculate the least common multiple of r and 5.
30
Suppose -2*m - 2*u = 6, 4*m - 15 = m + 5*u. Suppose m = 4*r - r. What is the lowest common multiple of 8/(-2) + r + 12 and 14?
56
Let l = 44071/133700 + 1/2674. What is the common denominator of l and 59/40?
200
Calculate the lowest common multiple of -10 - -43 - (5 - -3) and 90.
450
Calculate the common denominator of -4 - 28*(-1)/((-450)/(-35)) and -47/9.
45
Let n(o) = 5*o**2 + 20*o - 15. Let v(k) be the first derivative of -k**3/3 - 9*k**2/2 - 4*k - 1. Calculate the least common multiple of n(-5) and v(-6).
70
Let s(p) = -p - 7. Let k(h) = -h - 6. Let w be k(11). Let t(j) = -j**3 + 10*j**2 - 9*j + 10. What is the smallest common multiple of t(9) and s(w)?
10
Let u(m) = m - 83. Let w be u(0). Find the common denominator of 0 + 5/40*w and 102/(-45)*3/(-4).
40
Suppose -5*u = -8*u - 3, 2*h = 4*u + 16. What is the smallest common multiple of h and 6?
6
Suppose -5 = 4*a - 21. Suppose -a*y = y + 10. What is the smallest common multiple of 17 and (5 - 3)/y + 12?
187
Suppose -15*u + 27*u - 108 = 0. Calculate the smallest common multiple of u and (-2)/9*3*-18.
36
Suppose 0 = -19*v + 15*v - 528. Find the common denominator of 186/v*(1 - 3) and -95/6.
66
Let x be (-2)/(-9) + 1131063/(-270). Let m = x + 4196. Calculate the common denominator of m and (-4)/(-14) + (-1206)/(-140).
10
Let p(y) = y**2 + 10*y - 71. What is the lowest common multiple of 25 and p(-16)?
25
Suppose 10 - 10 = 4*n. Suppose n*d = -4*d + 84. Calculate the least common multiple of 24 and d.
168
Suppose 0 = -6*m + 14 + 34. Let h(s) = -s**2 + 11*s - 2. Calculate the lowest common multiple of (0 + (-2)/4)*-40 and h(m).
220
Suppose v + 181 - 5 = 2*a, 4*a + v - 340 = 0. Let w = a + -51. What is the least common multiple of 11 and w?
385
Calculate the common denominator of 41/14 and 76*49/336 + -9.
84
Let l(y) = 2*y - 15. Let b(m) = -m + 8. Let z(j) = -5*b(j) - 3*l(j). Suppose 0*r + 16 = 2*r. What is the smallest common multiple of r and z(-11)?
16
Suppose 3*r = -5*c + 180 + 345, -5*c + 5*r = -565. What is the least common multiple of c and 8?
216
Suppose 3*h - 36 = -0*h - 3*y, -3*h - 5*y = -36. Suppose 3*x = 2*i - h, 5*x = x. Calculate the smallest common multiple of i and 9.
18
Let i be 1070/35 + 6/14. Suppose 4*c + z - 11 = 0, -9*z = -5*c - 5*z - 2. Calculate the smallest common multiple of (-1 + i)*16/12 and c.
40
What is the lowest common multiple of (96/(-28) + 6)*21 and 48?
432
Suppose -4*y + 0 + 8 = 0. Suppose -y*k + 4*g = 0, 3*k = 4*g + 4 + 6. What is the smallest common multiple of k and 6?
30
Let r be (-2)/3 - (-5261675)/402180. Let a = r + 3/6703. Let t = -2461/3150 + -1/225. Calculate the common denominator of t and a.
84
Let o = -1015 - -3025/3. Suppose -2*y + 0*p - 81 = p, 219 = -5*y + 3*p. What is the common denominator of o and y?
3
Suppose -14 = -y + 5*q, -2*y - 7*q + 42 = -3*q. Let l = -452 - -460. What is the smallest common multiple of y and l?
152
Let x(o) = 2*o - 4. Let w(n) = 6*n - 13. Let b(t) = 3*w(t) - 8*x(t). Let q(m) = -2*m - 1. Let j be q(-3). Calculate the lowest common multiple of b(j) and 4.
12
Let p be ((-129)/82)/((-14)/54). Let b = p - -47/41. What is the common denominator of b and (24/(-432))/((-4)/(-354))?
84
Let o(y) = -y**3 - 3*y. Let b be o(5). What is the common denominator of -71/32 and (-1062)/b + 1/((-20)/16)?
224
Let d = 17766 - 355403/20. Find the common denominator of d and 5/(-4) - (-2)/(-3).
60
Let u = 3849 - 3829. Suppose -2*o + 7*o = 420. Calculate the least common multiple of o and u.
420
Suppose -f = 4*q + 2*f + 85361, 2*f = q + 21354. Let m = q + 469481/22. Find the common denominator of m and (-4)/18 + 887/(-18).
22
Suppose 2*u + 28 = -4*i, 2*u - 5*i = -3*i - 22. Find the common denominator of (-242)/u - (-9)/6*-1 and 109/6.
6
Suppose -36*h - 1376 + 3680 = 0. What is the least common multiple of 128 and h?
128
Find the common denominator of (-4 - -5)/((-110)/14) and 103/20.
220
Let t(w) = w - 1. Suppose 0 = 3*q - 5*l - 11, -q - l = -0*l - 9. Calculate the lowest common multiple of t(q) and 7.
42
Let j be 146710/4*12/195. Let m = -268447/130 + j. Let b = -818/5 + m. Calculate the common denominator of 1/2 and b.
2
Let i(r) = 2*r**2 - 6*r - 6. Let w(t) = t**3 - 11*t**2 + 26*t + 2. Let n be w(7). Calculate the least common multiple of (19/57)/((-2)/n) and i(5).
14
Suppose 3*q - 1 + 15 = -c, -2*q = 10. Let w = -1417/2 + 2104/3. Find the common denominator of w and c/3 - 1253/294.
42
Suppose 0 = 2*p - p + 2*t + 7, 15 = -5*p - 5*t. What is the common denominator of 2 - (-1 - 24/(-7)) and 68/(p + 8 + 0)?
63
Let a = 9150641/120 + -76256. What is the common denominator of a and 10/3*11/2?
120
Suppose 22 + 14 = 2*s. Let o = 5 - s. Let q = -10 - o. Calculate the smallest common multiple of 11 and q.
33
Let y be 7/2*(-20)/(-2). Let p = y + -17. Let a = -363 - -383. Calculate the smallest common multiple of p and a.
180
Find the common denominator of (131/(-786))/(62/188) and -56/155.
465
Let t be 7956/(-96)*136/10. Let f = t - -1122. Find the common denominator of f and (13*(1 - -4))/4.
20
Suppose 0 = -3*t + 2 - 14. Let h = 1044335/84108 + 1/14018. Calculate the common denominator of h and (t + 6)*2/40.
60
Suppose 2*l + 0*u - 10 = 3*u, 5*u + 16 = 3*l. Suppose l = d - 6. Calculate the lowest common multiple of 14 and d.
56
Let i(o) = -o**3 + 5*o**2 - 30. Let k be i(5). Calculate the common denominator of -4/7 and (0 - (-453)/45)/(24/k).
84
Let i(a) = 14*a - 132. Calculate the lowest common multiple of i(14) and 272.
1088
Calculate the common denominator of (-8428)/(-696) - (4 + 9) and -17/16.
1392
Suppose 8*q - 849 = 7*q. Let s = 13537/16 - q. Calculate the common denominator of s and -33/20.
80
Calculate the common denominator of 71/22 and 23/776*140/(-525).
32010
Suppose 0 = -4*h - 4*l, -5*l = -l + 8. Suppose 0*f = -5*f - 2*v + 90, 5*v + 125 = 5*f. Suppose -6*d = -h*d - f. Calculate the least common multiple of 9 and d.
45
Let r = 14921/772 + -15/193. Let h = 127901/65580 + -1/3279. What is the common denominator of r and h?
20
Let u(s) = -s**2 - 10*s + 6. Let f = 11 + -19. Let y be u(f). Suppose -3*k = -y + 4. Calculate the lowest common multiple of k and 48.
48
Calculate the common denominator of -41/21 and (1 - -1) + ((-12520)/(-1488))/(-5).
1302
Let z = -544 + 546. Let b be (-2)/((-4)/(-2)) - -4. Suppose 5*o = b*p - 46, 7*o = 2*o - 10. Calculate the least common multiple of p and z.
12
Let c = 4784 - 95703/20. Let j = c - -239/20. What is the common denominator of j and 43/30?
30
Let x = -68858 + 46916. Let r = x + 921623/42. Find the common denominator of r and -59/12.
84
Let s(t) = -t**2 + 21*t - 2. Let h be s(19). Suppose -5*q + q = -2*u + h, 3*u + q - 19 = 0. What is the common denominator of u and 46/7?
7
Suppose -4*q = -5*n + 33, -21 = 3*q - 4*n + n. Suppose 0 = 4*j + 17 - 153. What is the common denominator of -3 - (j/6 + 3) and q?
3
What is the common denominator of 46/77 and 63/462*250/(-18)?
462
Let i(r) = -2*r**2 - r + 4. Let d be i(-2). Let m be 83*(-4 + 8 + d). Let g = -824/5 + m. Find the common denominator of g and 5/3.
15
Suppose -3*h + 0*h = 0, -122 = -2*s + 3*h. Calculate the common denominator of (12/(-8))/((-12)/s) and -97/12.
24
Let m = 789 - 558. Calculate the lowest common multiple of 9 and m.
693
Let h = -84 - -120. Let n = h + -6. Suppose 265*r - 227*r - 380 = 0. Calculate the smallest common multiple of r and n.
30
Let g be 2*-1*(-11)/2. Let t = g - 8. Let p = 363 - 