110, j = 2*v + 41. Calculate the least common multiple of j and 33.
33
Let y be -8 + 4 + 28/2. Let r = -1 + y. Find the common denominator of (r/24)/(2/40) and 91/8.
8
Suppose -b = -3*b + 44. Let r(n) = 2*n**2 + 19*n + 7. Let u be r(-9). Calculate the lowest common multiple of (-6 - u)/(-1) - (-7 + 3) and b.
88
Suppose 26 = 2*i + 2*p + p, 4*i + p - 42 = 0. Suppose -l = -3*q + i, -2*l = 2*q - q - 8. Let j = l + 6. What is the smallest common multiple of j and 10?
40
Let m(s) = -s**2 + 4. Let b be m(-2). Suppose 0 = -4*u - 4 - b. Calculate the smallest common multiple of 7 and 1 + 1 + 0/u.
14
Suppose -8 = 2*f + 2, 43549 = -2*i + 5*f. Let d = i + 479405/22. Let h = 235/8 - 255/8. Find the common denominator of h and d.
22
Let j = 867/7 - 1697/14. Find the common denominator of 2/(-5) + 226/90 and j.
126
Let z = 1435/18 + -524063/6570. Let v = z + -42228/2555. Let b = -24 - v. Find the common denominator of 101/2 and b.
14
Suppose 3*w = -3*p + 30, w - 40 = -3*p - 0*w. Calculate the least common multiple of (-258)/(-4)*10/p and 6.
258
Let c = -136767/28105 - -345/73. What is the common denominator of -71/30 and c?
2310
Let y(a) = a**3 - 3*a**2 - 3*a - 1. Let m be y(3). Suppose 0 = 4*s + s + 470. Calculate the common denominator of 5/m - s/36 and -17.
9
Let y(s) = s**2 + 4*s + 4. Calculate the smallest common multiple of -3 + 6/2 + (13 - 3) and y(-3).
10
Let t(o) = 118*o + 484. Calculate the smallest common multiple of 600 and t(-4).
600
Let u(o) = -7*o**2 - 3*o - 7. Let n(f) = -2*f**2 + 4*f**2 + 2*f + f**2 + 0*f + 3. Let m(d) = -9*n(d) - 4*u(d). What is the lowest common multiple of 2 and m(9)?
28
Let w be 1270/(-2 - (-33)/18). Let s be w/36 + 2*-1. Let d = s + 195. Calculate the common denominator of d and -12/11.
33
Suppose -5*p + 6 = 2*w, 6*p - 7*p = w. Calculate the lowest common multiple of 16 + (7 + 3)*w/(-5) and 44.
220
Let p = -2729/720 + 49/144. Find the common denominator of p and 124/3720*(-1370)/(-4).
60
Suppose -5*c = 3*f + 8, 3*c = 2*c + 2. Let k = -13 + 15. Calculate the common denominator of (39/k)/(15/f) and -24/7.
35
Let y(b) = -1979*b + 7. Let k be y(6). Let a = k - 1881. Let n = 274897/20 + a. Find the common denominator of n and -12/7.
140
Suppose -4*o = -4*p + 216, 19*o - 15*o + 114 = 2*p. What is the least common multiple of p and 12?
204
Suppose 6*f = -f + 42. What is the smallest common multiple of 5 and f?
30
Suppose 4*r = 4*t - 276, 3*t + 5*r - 112 = 119. Calculate the smallest common multiple of t and 276.
1656
Let m = -51 + 288/5. What is the common denominator of 2/9 and m?
45
Let x(j) = -2*j**3 - 5*j + 9. Let z be x(11). Let i = z - -21707/8. Calculate the common denominator of i and (4/(-16))/(3/(-98)).
24
Let v(p) = -p**3 - 4*p**2 + 2*p + 5. Let u(z) = 7 - 2 - z - 4. Let g be u(6). Calculate the least common multiple of v(g) and 5.
20
Suppose 10*u = 8*u - 156. What is the common denominator of (-100)/871 - (-12)/u and 16/9?
603
Suppose -18 = 5*j - 8*j. Let w = 3629/140 + -111/35. Find the common denominator of w and j/6 - 138/(-4).
4
Let y = 8477/8 - 1061. Calculate the common denominator of 7/200 and y.
200
Suppose -3*k = -4*r - 3 - 44, 0 = 5*k - 2*r - 97. Suppose -18 = 18*l - k*l. What is the least common multiple of l and 27?
54
Let t = -218 - -234. Calculate the smallest common multiple of 2 and t.
16
Suppose -5*a + 80 = -a. Suppose f - 105 - 292 = 4*u, -3*u - 3*f - 309 = 0. What is the common denominator of (-656)/(-30) + a/u and 46/3?
3
Suppose -1 = 4*n - 3*n. Calculate the common denominator of (-6)/8 - (n + -16) and -59/10.
20
Let x be 4/10*(-5 + -752). Let q = 13531/45 + x. What is the common denominator of q and -54/7?
63
Let r be -1496*21/(-15705) - (4 + -2). Let t = -92/263850283 + -106358838701669/5525024926020. Let n = r + t. Find the common denominator of n and 67/8.
8
Let m = 15 - 12. What is the common denominator of (-346)/8 + (m - 39/12) and -71/4?
4
Let c = 441 + -7933/18. Let q be (7 - 6)/(257/(-9)). Let d = q + -9951/2056. Find the common denominator of c and d.
72
What is the common denominator of 3/5 - (15219/1140 + 1*-4) and (-3)/20*41/3?
20
Let k = -21 + 18. Calculate the common denominator of 0 - (0 + (-26)/(-16)) and -3 - (k - -1)/(9/13).
72
Suppose 2*c = -314 + 92. Let o be (-1)/(-6) + 41/c. Let g = 3249/148 + o. What is the common denominator of 17/16 and g?
16
Let s = -2665/4 - -649. Let m be 7*(0 - 4) - 2. Calculate the common denominator of (-10)/25 - (-116)/m and s.
60
Let k(r) = 7*r**2 + 7*r + 12. Calculate the smallest common multiple of 24 and k(-3).
216
Calculate the common denominator of -31/1544 and 39985/3300 + (-6)/5.
4632
Let t(m) = -m**2 + 1 - 2 + 5 - 6*m. Let h be t(-6). Suppose -83 = -h*r - w, 3*r + w = 95 - 32. Calculate the lowest common multiple of 8 and r.
40
Let z = -33 + 37. Suppose -3*k - 1 = a - 0*k, 2*a - 38 = z*k. Let q(y) = y**3 - 4*y**2 - 3*y - 3. Calculate the lowest common multiple of a and q(5).
77
Let n(c) = c**3 - 8*c**2 + 5*c - 26. Let l be n(8). Suppose -2*o - l = -6*o - 2*r, 4*o - 5*r - 49 = 0. Calculate the smallest common multiple of 10 and o.
30
What is the common denominator of ((4/(-2))/(-6))/((-49)/7) and -127/18?
126
Let d(n) = 0*n**2 - 3 + n**2 + 2 - 1. Let r be d(0). Find the common denominator of 125/12 and r - 137/(-12)*-2.
12
Let o(u) = -u**3 - 2*u**2 + 7*u - 4. Let v be o(-4). Suppose 112 = -v*s + 8*s. What is the lowest common multiple of s and 7?
14
Suppose -j + 1 = 5*f + 2*j, 4*f = 5*j + 23. Calculate the least common multiple of f and 20.
20
Let c be (-7956)/(-20) - (3/(-5))/3. Suppose 0 = l - 399 + c. Calculate the smallest common multiple of 2 and l.
2
Let w be 356/(-6) - (20/(-6) + 4). What is the smallest common multiple of 9 and 9/21 + w/(-7)?
9
Let a(f) = -f**2 - 8*f - 6. Suppose 5*j - 3 = 4*j + 4*w, 3 = j + 5*w. What is the least common multiple of j and a(-5)?
9
Let f(v) = -6 + 1 + 5*v - 96*v**2 + 97*v**2. Let i = -9 + 15. Calculate the smallest common multiple of f(-6) and i.
6
Find the common denominator of 25/(((-28)/(-8))/((-2)/12)) and -119/6.
42
What is the least common multiple of (9 - (-1 - -11))*-55 and 20?
220
Suppose -r = 5*o - 6, 4*o = 6*o + r. Suppose h - o*h = 60. Find the common denominator of 1*(-26)/h*21 and 23/4.
20
Let h(s) = -2*s + 2. Let v be h(1). Find the common denominator of v + (10/(-4))/(-5) and 31/10.
10
Suppose 5*n + 0*n - 3*s = 84, -3*n + 64 = 5*s. Calculate the smallest common multiple of (-36)/22*3047/(-277) and n.
18
Let q = 86378 - 6737593/78. What is the common denominator of 15/221 and q?
1326
Calculate the smallest common multiple of 30 and 0/4 - 2520/(-8).
630
Let a(f) = -f + 20. Let g = -27 - -42. Calculate the least common multiple of 33 and a(g).
165
Let g = 14 + -48. Let b = g + 52. What is the least common multiple of b and 8?
72
Let i = -23971/12 + 2005. What is the common denominator of (44/18 + -2)/6 and i?
108
Let c = 13 - 10. Let j be (c/(-2 + -1))/(-1). Let g(a) = 2*a**2. What is the lowest common multiple of g(j) and 2?
2
Let y = 21 + -22. What is the common denominator of 5/4 and 3*(8 - y) + -2?
4
Suppose 5*k - 35 = -h, -k + 22 = 3*h + 1. Suppose 4*a + 2*v - 64 = 0, 4*v + 21 = a - 13. What is the smallest common multiple of a and k?
18
Let z = -20809/6 + 3489. What is the common denominator of z and 232/(-30) - (-1)/3?
30
Calculate the common denominator of -97/90 and 8 + (2 - (-380)/(-48)).
180
Let a be (1 - (-7 + 4)) + 1. Suppose a*s - 13 - 27 = 0. Let m(k) = -k**3 + 8*k**2 + 5*k - 12. What is the lowest common multiple of s and m(8)?
56
Let c = 884/15 + -307/5. What is the common denominator of 12/81*(-1)/4 and c?
135
Suppose m - 3 = -4*o + 1, -4*o + 4 = -2*m. Let r = 6 + m. Let n = -25 - -30. Calculate the least common multiple of n and r.
30
Suppose 0 = -2*d + 5 - 1. Let q(g) = g**3 - 7*g**2 + 9*g - 7. Let o be q(6). Let t = o - 6. Calculate the smallest common multiple of d and t.
10
Suppose 5*w - w + 40 = 0. Let v = w - -16. What is the lowest common multiple of (-2)/4*(45 - 69) and v?
12
Calculate the common denominator of (-261)/45*8/(-16) and 12/565.
1130
Suppose 44 = 5*w - w. Calculate the smallest common multiple of 1521/156 + 2/8 - 5 and w.
55
Suppose -8*w + 8 = -6*w. Suppose 5*q + 580 = -w*n + 210, 2*q = 5*n + 479. Find the common denominator of 65/22 and n/