t q(d) = -d**2 - 14*d - 34. What is the lowest common multiple of 15 and q(-10)?
30
Let d(f) = f**3 + 5*f**2 - 6*f + 4. Let a be d(-6). Suppose -a*z + 26 = -38. What is the least common multiple of 6 and z?
48
Calculate the common denominator of (-105)/(-75)*(-17)/4*1 and 17/12.
60
Suppose -7 = -3*d - 1. Suppose d*n + 4*t - 8*t = 28, 56 = 4*n - 2*t. What is the lowest common multiple of 10 and n?
70
Suppose -4*k + 3*p - 6*p - 35 = 0, 5*k = 5*p. Let m = 8 + k. Suppose -m*y - 22 = -4*y. Calculate the lowest common multiple of y and 4.
44
Suppose -l + s - 7 = -2*l, 0 = -5*l + 2*s + 28. What is the least common multiple of l and 18?
18
Find the common denominator of (-542)/308 + 2/(-7) and 4/(-10)*(-210)/80.
220
Suppose 0 = -4*i - 0*i. Suppose i = -4*n + 12 + 8. Calculate the least common multiple of n and 11.
55
Calculate the common denominator of -17/3 and 3/4 + (-4)/(-2).
12
Let d(f) = f**3 - 3*f**2 + 3*f - 3. Let l = 0 + 2. Let q = l - -1. What is the smallest common multiple of 6 and d(q)?
6
Let h = 3979/5720 + 23/260. Find the common denominator of h and -40/9.
792
Let s be 1630/(-12) + 13 + -10. Let y = s + 455/3. What is the common denominator of 23/6 and y?
6
Suppose 1 = -m - 5*j, -3*m - 4*j - 1 + 9 = 0. Let q be (-2)/m - (-213)/6. Calculate the lowest common multiple of 2/(-5) - (-84)/q and 7.
14
Calculate the common denominator of ((-4)/((-128)/(-276)))/(9/6) and -65/4.
4
What is the least common multiple of 7 and (-1*6)/2*-1?
21
Let i = -7 + 15. What is the smallest common multiple of 12 and i?
24
Suppose -g - 13 = -q - 3*g, -4*q + 8 = -3*g. Suppose -15 = 2*l - q*l. Suppose z + 0*z = 2. What is the smallest common multiple of z and l?
10
What is the common denominator of 23/5 and ((-53)/(-4) + -2)*(-4)/(-11)?
55
Suppose 5*p - 19 = -2*m, 3*m + 3*p - 33 = -0*m. Let d(y) = 12*y**3 - 2*y**2 + 3*y - 3. What is the least common multiple of d(1) and m?
60
Let o(r) = r**2 - 4*r - 13. Calculate the smallest common multiple of 20 and o(9).
160
Let c(m) = m**3 - 3*m**2 - 3*m - 2. Let j(n) = n**3 - 6*n**2 + 6*n. Calculate the smallest common multiple of j(5) and c(4).
10
Suppose 3*m + 294 = 4*f + f, 0 = 4*m + 4*f + 360. What is the common denominator of 31/10 and 1 - (m/(-30) + 2)?
10
Let v(z) = 4*z - 1. Let m be v(1). Suppose -5*h + m*l + 960 = 0, 3*l + 2*l + 755 = 4*h. What is the least common multiple of 1/4 + h/20 and 14?
70
Let b(t) = -3*t - 8. Suppose 5*v + 20 = -10. Calculate the lowest common multiple of b(v) and 8.
40
Let p = 8/385055 + 48866604/18097585. Let f = p + 44/47. What is the common denominator of -103/18 and f?
198
Let v(w) = w**3 - 4*w**2 - 9*w + 2. What is the smallest common multiple of 14/((16/(-4))/(-4)) and v(6)?
140
Calculate the common denominator of 37/22 and (-9)/(-6)*(-77)/54.
396
Suppose 2*c + 0 = -12. Let i = 1737 + -10451/6. Find the common denominator of i and 261/c*(-3)/(-6).
12
Let m = -7 + 25. Calculate the least common multiple of 56 and m.
504
Let o = 3530 - 31724/9. Suppose 2*q = z + 3, -z + 4*q - 1 - 4 = 0. Let n(h) = 28*h + 1. Calculate the common denominator of n(z) and o.
9
Let k be (1 - -26)/(176/(-38)). Let n = -5/11 - k. What is the common denominator of n and 95/2?
8
What is the common denominator of ((-3)/(-2))/(-3 - 186/(-58)) and (-218)/(-4)*(-2)/(-20)?
20
Let y = -5 + 3. Let c be (-8 - -8)*y/4. What is the common denominator of 65/6 and c + 27/42*12?
42
Suppose 2 = 18*v - 17*v. Calculate the smallest common multiple of 11 and v.
22
Let j = -14437/860 + 8/215. Find the common denominator of j and 13/6.
12
Suppose 4*b + b - 1975 = 0. What is the common denominator of (33/(-7))/1 - -2 and (-4)/40*b/2?
28
Let w = -31 - -35. What is the smallest common multiple of (2/(-4))/(1/(-22)) and w?
44
Suppose -3*d - 5 = -b, -24 - 11 = -5*b + 5*d. Let r(v) = v**2 - 4*v - 2. What is the lowest common multiple of r(6) and b?
40
Let a = 5039 + -55470/11. Let w = 16/13 + -106/65. Find the common denominator of w and a.
55
Suppose 2*z - 32 = -z - 4*m, 4*z + 3*m - 38 = 0. What is the lowest common multiple of 30 and z?
120
Find the common denominator of 273/(-14)*1/(12/14) and 55/16.
16
Suppose -5*b - 2*g = -5 + 15, -5*g + 2 = -b. Let i = -3109/30 + 494/5. Find the common denominator of i and b/(16/61)*-1.
24
Let m be 4655/(-10) - 16/4. Let b = -419 - m. Calculate the common denominator of b and -5/6.
6
Let t = 505/2 - 5019/20. Calculate the common denominator of t and -7/4.
20
Suppose 4*q - 3*l + 549 + 235 = 0, -2*l + 8 = 0. Find the common denominator of q/4 + 1/(-4) and (108/(-32) - -3)*9.
8
Calculate the least common multiple of 3 and (-1)/(-4)*0 - -7.
21
Suppose 0 = 2*i + 3*i - 5. Calculate the smallest common multiple of i and 2/(((-9)/6)/(-3)).
4
Let i = -180210979/72556 + 7/36278. Let a = -8911687/3588 - i. Let n = -21233/1794 + a. Calculate the common denominator of n and 41.
6
What is the common denominator of 4/(-30) + (-1)/6 and 25/11?
110
Let y(c) = 4*c**2 - c - 1. Let h be y(-1). Suppose g = -o + 2*g + 5, 0 = -4*o - h*g + 44. Let j = -16 - -32. What is the lowest common multiple of j and o?
16
Let s = -45 + 82. Find the common denominator of s and 57/5.
5
Let b be 3/(-12)*-4 - 22. Calculate the common denominator of 35/22 and (26/6)/(18/b).
198
Let i = -1567/40 - 13/40. Find the common denominator of i and -137/6.
6
Suppose -3*k - 27 = -3*g, 4*k = -3*g + 2*k + 42. Calculate the smallest common multiple of 2 and g.
12
Let s be (-6)/(3 - (7 + -2)). Suppose 0*t = -t + s. What is the smallest common multiple of t and 9?
9
Suppose -3*o - 1 = -55. What is the smallest common multiple of 22 and o?
198
Let w(l) = -2*l - 14. What is the lowest common multiple of 22 and w(-9)?
44
Calculate the common denominator of 85/16 and (-142)/12*(-21)/14.
16
Suppose v - 31 = -15. What is the smallest common multiple of v and 10?
80
Let a be (1 + 3)*4/(-2). Let p = 147/13 - 1363/78. Calculate the common denominator of p and ((-2)/a)/((-5)/(-46)).
30
Suppose -2*d - 106 = -4*g, -5*g - 2*d + 78 + 68 = 0. Calculate the lowest common multiple of g and 36.
252
Let u = -2/225 + -6067/900. What is the common denominator of u and -2*1/2 - 532/(-98)?
28
What is the common denominator of (3/12)/(27/(-222)) and -61/22?
198
Suppose 0 = d + 3*a - 11, -2*d - 5*a = -7 - 18. Calculate the lowest common multiple of d and 12.
60
Let x = -1282 + 288452/225. Let q = x + -3383/900. What is the common denominator of -133/12 and q?
12
Suppose 3*d = m - 4*m + 45, 4*d - 5*m = 15. Suppose 3*c = -4*b + 14, -8 = -b - 5*c + 4. What is the smallest common multiple of b and d?
10
Calculate the common denominator of (8/35)/((-6)/(-120)) and 79/76.
532
Let d be 3 + (1 + -2 - -1). Suppose 0 = 6*s - 4*s - 4*g + 2, d*g = 0. What is the common denominator of -119/6 and 2 + (-201)/66 - s?
66
Let h(w) = w**2 - 4*w - 10. What is the least common multiple of 17 and h(6)?
34
Suppose d + d - 268 = 0. Calculate the common denominator of (-15)/50*d/6 and 40/9.
90
Let m = -6700 + 66889/10. Calculate the common denominator of m and -29/13.
130
Let c(d) = d + 14. Let h be c(-11). Suppose 12 = 2*r + 5*f - f, h*r - 15 = -3*f. What is the lowest common multiple of 8 and r?
8
Let p = -12 - -20. Calculate the lowest common multiple of 156/9 + 2/3 and p.
72
Let o(c) = c**3 + 3*c**2 - c + 6. Let y be o(-3). Let g(p) = p**3 - 9*p**2 + p - 1. What is the least common multiple of g(y) and 18?
72
Suppose 3*f + 31 = 4*c, -5*c + 0*f - 5 = 5*f. Suppose -d + 2 = u + 21, d + 10 = -c*u. Find the common denominator of 51/8 and ((-21)/(-30))/(4/d).
40
Let m = 5685/2086 + 9/149. Let p = -2349 + 25822/11. Find the common denominator of p and m.
154
Let q = -2 - -24. Calculate the least common multiple of 8 and q.
88
What is the lowest common multiple of ((-6)/4)/(2/(-16)) and 30?
60
Suppose -3*g + 15 = -2*q, 3*g + 3*q - 16 + 1 = 0. Suppose -g = 3*b - 35. What is the lowest common multiple of 4 and b?
20
Suppose 5*v + 1 = -9. Find the common denominator of (0 - 9/(-15)) + 3 and (-19)/v + 2/8.
20
Calculate the common denominator of (-578)/(-80) + (-22)/(-55) and -11/6.
24
Suppose 5 = -h + 17. Suppose 13 - 94 = -3*t. Let f = t - h. Calculate the common denominator of -77/2 and f.
2
Let k(s) = -s + 5. Let q(x) = -x**2 + 10*x - 4. Let l be q(9). Calculate the smallest common multiple of k(1) 