4
Let d = 3212/3 - 1083. What is the common denominator of d and (-86)/30 - (8 + -5)?
15
Suppose 3*v = m + 12, 0 = 4*v - 3*m - 11. Suppose 0 = 7*b - 2*b + 15. Let z = b + 12. What is the smallest common multiple of z and v?
45
Let c = 3571/320 - -9/64. Find the common denominator of 59/4 and c.
20
Let s = -7/15 + -2/15. Let n be 9/20*(-9608)/1596. Let a = n + -1/190. What is the common denominator of s and a?
35
Let y = -2/61 - -675/122. Calculate the common denominator of (-1)/(-21)*(-285)/(-10) and y.
14
Let p = -50 - -25. What is the common denominator of -47/11 and (74/8)/(p/20)?
55
Let v be (-920467)/(-2) - (-2)/(-4). Let t = v - 33136235/72. Let m = t - 80/9. Find the common denominator of m and -89/2.
8
Let k = -256005/29 + 4518247/406. Let f = 4288 + -1990. Let m = f - k. Calculate the common denominator of -7/16 and m.
112
Suppose 4*m = k - 5*k + 28, k - 47 = -5*m. Let r be 1 - 12/m - 0. Let s = r + 23/10. What is the common denominator of s and 37/22?
110
Suppose -4*d = -d - 30. Let v = 595/2 - 2395/8. What is the common denominator of 474/(-8)*d/(-75) and v?
40
Suppose -4*u = -5*v - 2*u + 669032, 3*u - 535244 = -4*v. Let c = v - 547839/4. Let s = 3174 + c. Calculate the common denominator of 131/12 and s.
12
Calculate the common denominator of (-55)/10*(-4)/(-18) and 2/9 - (-68)/99.
99
Let l(u) = -u + 12. Let v be l(0). Suppose s + s = v. Let d = 2 - -3. What is the least common multiple of d and s?
30
Let x be (2/4)/((-5)/10). Calculate the least common multiple of (4/(-6))/(x/3) and 11.
22
Let v = -78349/7188 - 10/599. What is the common denominator of 95/16 and v?
48
Let q = -1 - 0. Calculate the common denominator of (33/240*-2)/((-2)/(-25)) and 18 - (1 + q/2).
16
Let i = -3463/236 - -25/59. What is the common denominator of ((-303)/(-2))/((-12)/(-1)) and i?
8
Let q = 546731/185670 - 2/10315. Find the common denominator of 125/12 and q.
36
Suppose 2*i = -2*b - 290, 6*i - 2*i - 3*b = -573. What is the common denominator of 0/(-1) + (-585)/i and -17/14?
112
Suppose -7*i + 36 = -i. Calculate the lowest common multiple of i and 18.
18
Calculate the common denominator of 37/14 and (9/(108/808))/4.
42
Let h = 21662 + -563281/26. What is the common denominator of h and (-1)/4 - (-1175)/180?
234
Let h be -3*(-2)/1 - 2. Suppose s = h*s - 6. Suppose 0*n - 18 = s*n. Find the common denominator of n and -71/4.
4
Suppose -q - 1 = -w - 3, -5*q + 2*w = -16. Calculate the smallest common multiple of q/(-3)*42/(-4) and 22.
154
Suppose 5*i - 3 = 12. Suppose -4*h + 57 - 17 = 0. Calculate the least common multiple of h and i.
30
Let w = 10 + 0. Suppose -5*x + 14 = -16. What is the lowest common multiple of x and w?
30
Calculate the common denominator of (-4)/30 - 2303/840 and ((-11)/(-6))/((-6)/(-81)).
8
Suppose 3*o = 7*o - 12. Suppose -2*w = 3*l + 11, -w = w - o*l - 19. What is the lowest common multiple of w and 12?
12
Let l(x) = x**3 + 9*x**2 - 4*x**2 + x - 3*x - 6. Let w be l(-5). Suppose w*r = 6*r - 4. What is the lowest common multiple of r and 16?
16
Suppose -5 = l + 2*d + 3, 10 = -2*d. Find the common denominator of (1/28)/(l/(-356)) and -37/6.
42
Let j(u) be the first derivative of -u**3/3 - 6*u**2 - 17*u - 1. What is the least common multiple of j(-7) and 4?
36
Find the common denominator of (-3)/(-10)*537*(-3)/(-81) and -56/27.
270
Let q = -8/10191 + 123483/74734. Calculate the common denominator of 101/24 and q.
264
Let z = -14 - -16. Find the common denominator of -53/10 and (-27)/12 + (-3)/z.
20
Calculate the common denominator of (-212)/(-6)*(6 - 1)/320 and 56/9.
288
Calculate the least common multiple of 12 and (-35)/(-1)*10/25.
84
Suppose 2*q - 5 = -1. Suppose -i + 13 = q. Calculate the smallest common multiple of 15 and i.
165
What is the lowest common multiple of (-2)/(4/(-26)) - (7 + -6) and 8?
24
Suppose 0 = -4*t - 35 - 13. Find the common denominator of (-4)/6*345/t and 30.
6
Let n(q) = -6*q**2 - 2*q. Let z be n(-3). What is the common denominator of ((-273)/z)/(-7)*-2 and -33/14?
56
Let l(t) = -t**3 + 3*t**2 + t + 1. Let y(r) = 7*r**2 - 1. Let u be y(1). Let x be l(u). Find the common denominator of x/(-18) + 1 + -2 and -145/18.
18
Let k be (-6978)/22*(-7)/273. Let f = -49/13 + k. Find the common denominator of f and (-2)/(-6) - 62/(-48).
88
Let u(j) = j**3 - 2*j**2 + 2*j - 2. Let q be u(2). Let f be q - (881463/85050 - 1). Let m = -14/2025 - f. Find the common denominator of m and -1/18.
126
Suppose 0 = -3*c + 4*o + 19, 0 = -2*c + 6*c - 3*o - 23. Let r be (-1 - -2)/(c/288). Let h = r - 451/10. Calculate the common denominator of 73/20 and h.
20
Let y = 1125 - 8935/8. Calculate the common denominator of -48 and y.
8
What is the smallest common multiple of (-38)/(-10) - (7/(-35) + 0) and 44/2 + 0 + 0?
44
Let y = -6 + 13. Suppose 2*v - y*v = -80. Calculate the least common multiple of 14 and v.
112
Suppose 4*s - 81 = s. Calculate the lowest common multiple of s and 11.
297
Suppose -3*c + 67 - 175 = 0. Calculate the common denominator of -59/4 and 787/(-144) - (-8)/c.
16
Suppose 9*j = 11*j + 140. What is the common denominator of -71/14 and (1 - 2) + 497/j?
70
What is the common denominator of (-12)/(-60) - (-113)/20 and 73/8?
40
Let z(b) = b**2 - 8*b - 12. Let g be z(9). Calculate the smallest common multiple of 6 and -33*-1*g/(-9).
66
Let j(z) = 3*z**2 - 4*z - 1. Let i(p) = -p**3 - 9*p**2 - 10*p + 4. Calculate the least common multiple of i(-8) and j(3).
140
Let o be (-138575)/(-415815) - 1/3. Let l = 2578025/388094 - o. Calculate the common denominator of -41/8 and l.
56
Suppose 4*f = -36 + 276. Calculate the common denominator of 6/8 + (-1435)/f and (-2)/6*(-3)/(-5).
30
Let c(f) = f**3 + 7*f**2 + 5*f - 6. Let o be c(-6). Let b be o - (12/754 - 0). Let z = 9784/1131 - b. Find the common denominator of 23/6 and z.
6
Calculate the common denominator of 127/24 and ((-1)/3)/(1/(2/(-5))).
120
Let s be (-2 - (-4)/3)*-3. What is the least common multiple of -1*(-2)/s - -7 and 14?
56
Suppose -n = -3*h + 19, 5*h + 0*h + 4*n - 26 = 0. What is the least common multiple of h and 20?
60
Let d = -195/77 + 64/11. Find the common denominator of d and 99/10.
70
Let w = -926 + -234. Let n = 628 + w. Let r = n - -987/2. What is the common denominator of -57/16 and r?
16
Let h(c) = c**3 + 13*c**2 - 16*c - 17. Calculate the lowest common multiple of h(-14) and 2.
22
What is the common denominator of (-2)/(390/207 + -2) and (287/18)/(-7) - -2?
36
Let w(a) be the second derivative of -a**5/20 + 5*a**4/12 - a**3/2 + 2*a. Calculate the lowest common multiple of 22 and w(2).
66
Find the common denominator of -89/45 and 2 - (212/99 + 4/18).
495
Suppose -4*n + 24 = -0*n. What is the least common multiple of 12/(-9)*(-54)/12 and n?
6
Suppose -5*r = -r. Suppose 3*x + 2*t = -x + 1052, x + t - 265 = r. What is the common denominator of (5/(-36))/(3/x) and 109/14?
84
Calculate the common denominator of 1525/70 - (-2)/(-7) and 0 + 27*6/8.
4
Suppose -11*y = -15*y + 12. Calculate the smallest common multiple of y and 2.
6
Calculate the smallest common multiple of 32/5 - 2/5 and 33.
66
Suppose -3*t = -r + 1, 3*r = -0*t - t + 3. Let y be -1 + (0 - -4) - r. What is the common denominator of -41/8 and y - 1 - (-69)/(-30)?
40
Let x = -14 + 8. Calculate the smallest common multiple of (2/6)/(x/(-288)) and 14.
112
Let a = 301 + -1227/4. Find the common denominator of 10/16 - (-2 + 4) and a.
8
Let a = -29779/14 - -2128. Let n = -1/6081 + -310115/97296. Calculate the common denominator of n and a.
112
Suppose -v + 16 = 3*v. Let f = -13 + v. Let w = f - -15. What is the smallest common multiple of 10 and w?
30
Let j be (-2 + 12480)/(15/(-3)). Let k = -551337/220 - j. Let y = k - 1/44. What is the common denominator of 21/11 and y?
22
Suppose -3*l + 12 = 0, -s - 5 = l - 15. Suppose -s = 7*h - 90. Calculate the least common multiple of 20 and h.
60
Let l(d) = -d**2 + 6*d - 2. Suppose -2*w = -4 - 0, -4*b + 28 = 2*w. Calculate the lowest common multiple of l(4) and b.
6
Let a = -1/37 + -3801/370. What is the common denominator of 22/3 and a?
30
Let k(z) = z**2 - z - 17. What is the least common multiple of k(-4) and 23?
69
What is the common denominator of -11/10 and 0 - (-212)/40*-1?
10
Suppose -4*z = f - 22, 21 = -3*f + f + 5*z. What is the lowest common multiple of f