-8). Suppose 2*h + b = 23. Calculate the lowest common multiple of h and 5.
10
Suppose p - 3 = -0*p, p - 51 = -4*a. Calculate the smallest common multiple of a and 2.
12
Let p = 65 - 391/6. Let d = p + -1/3. Calculate the common denominator of d and 47/7.
14
Let v = 10382 + -186929/18. Let b be (-536889)/44 + 5/20. Let p = -12206 - b. What is the common denominator of v and p?
198
Calculate the common denominator of 71/12 - (4 + -6) and -83/18.
36
Suppose 2*r = 33 - 9. Suppose -4*z + 7 = -9. Calculate the least common multiple of z and r.
12
Let m(p) = -p**2 - 7*p - 5. Let k = 1 + -5. Calculate the lowest common multiple of 4 and m(k).
28
What is the lowest common multiple of 14 and ((-3)/1)/((-9)/6)?
14
Let c = 11 + -7. Suppose t = -0*t + 6. Calculate the smallest common multiple of c and t.
12
Let k(m) = -2*m - 6 + 3*m**2 + m**3 + 0*m**3 + 3*m**2. Let d = 8 + -14. What is the least common multiple of k(d) and 14?
42
Let y = -4673/114 + 364/19. Find the common denominator of -23/5 and y.
30
Let f = -1/4619513 - 157188168841/46195130. Let l = f + 3414. Calculate the common denominator of -151/18 and l.
90
Let p = -23/6 + 9. What is the common denominator of p and 6/33*85/(-10)?
66
Let s be 1/2*2 - -13. Let b = 10 - s. Let g = -3 - b. What is the least common multiple of g and 1?
1
Find the common denominator of (5/30)/((-8)/50) and 46/9.
72
What is the smallest common multiple of 22 - -5*8/(-20) and 18?
180
Suppose c - 64 = -3*c. Suppose 5*m = j - 4, -m + 5*m + c = 4*j. Calculate the lowest common multiple of 2 and j.
4
What is the common denominator of 12/(-36) - (-257)/(-48) and -61/10?
80
Let v = -3061/105 - -440/21. Let g be -291*(-3)/(72/(-37)). Let z = g - -445. What is the common denominator of z and v?
40
Find the common denominator of 7/16 and ((-98)/48)/((-1)/3).
16
Find the common denominator of (-6470)/(-1400) - (2 + 3) and -43/16.
560
Suppose -i - 3*n - 3 = 8, 5*i - 2*n = 30. Suppose -6 = k - i*k. Suppose 0 = -y - p + 3, -3*y + k*p + 23 = -2*p. Calculate the lowest common multiple of y and 4.
20
Calculate the smallest common multiple of 4*(3 - 0) - 1 and 4.
44
Suppose -a - 3*q - 10 = -36, 5*a = -2*q + 91. Suppose 0 = -2*w + a - 1. What is the least common multiple of w and 7?
56
Let s = -79 + 3. Let x = -685/9 - s. What is the common denominator of x and 9/2?
18
Suppose -2*j = -4*s + 13 + 7, -2*s - j = -2. Suppose 3*b + 9 = -4*d, -2*b + 8 + 6 = -4*d. Calculate the lowest common multiple of s and b.
3
Let h = -2570 - -12909/5. What is the common denominator of h and 25/37?
185
Let q(r) = -10*r**2 + 4*r - 4. Let c be q(-4). What is the common denominator of (-18)/45 - (-398)/c and -61/12?
36
Suppose g - c = 3*g - 19, 5*g + 5*c = 40. Calculate the lowest common multiple of g and 1.
11
Suppose 3*m - 760 = -5*b + 7*m, 2*b - 287 = 5*m. Suppose 0 = -2*j + 486 + b. Find the common denominator of -39/2 and j/(-36) - (-1)/(-3).
4
Let k(u) = u**3 - 7*u**2 + 5*u + 2. Let v be k(6). Suppose 0 = 3*c - 46 - 11. Find the common denominator of v/(-10)*78/(-24) and c.
10
Suppose -5*p + 2*i + 0 + 17 = 0, 5*p - 14 = -i. Let t(j) = -j**3 - 4*j**2 - 2*j - 6. Suppose -2*s - 12 = s. What is the smallest common multiple of p and t(s)?
6
Suppose 0*t + 20 = 2*t + 4*r, 0 = -4*t - 4*r + 20. Find the common denominator of 38/10 + (t - -2) and 11.
5
Let i(y) = 2*y**2 + y - 1. Calculate the lowest common multiple of i(3) and (57/9 + -3)*6.
20
Let b = 181547528/385 - 2357782/5. Let z = 9/308 + b. What is the common denominator of z and -49/10?
20
Let w = 5 + 17. What is the smallest common multiple of 18 and w?
198
Suppose -4*v - 10 = 10, -o = -v - 5. Suppose 4*a - y - 11 = o, 13 = a - 4*a + 5*y. What is the smallest common multiple of a and 15?
60
Find the common denominator of 755/36 + (-2)/9 + -3 and 1/(38/49 + -1).
44
Let s = 618 + -8028/13. Find the common denominator of s and -61/3.
39
Let n = -2703690061311727/47614 + 56783510343. Let z be (-8)/(-358)*(-1)/(-38). Let m = n - z. Find the common denominator of m and -145/18.
126
Suppose 2*k + 2 = 6, 4*n = -3*k + 18. Suppose 0 = -3*d - n*j - 5286 + 1932, 3*j = -d - 1128. Let w = -8935/8 - d. What is the common denominator of -1/7 and w?
56
Let u(y) be the second derivative of y**4/12 - 3*y. Calculate the smallest common multiple of u(-3) and 1.
9
Calculate the smallest common multiple of (-7)/(2/(-12)*3) and 18.
126
Suppose 518 = 5*n - 2*h, -n + 3*h - 6*h + 107 = 0. Suppose 3*t = n + 16. Suppose t = 3*i + i. Calculate the least common multiple of 20 and i.
20
Let w = -25 - -26. What is the lowest common multiple of w and 10?
10
Let i(c) = -c**2 + 9*c + 2. What is the least common multiple of 14 and i(6)?
140
What is the common denominator of -31/18 and (-12)/(-18) - 226/(-36)?
18
Let p be 2/(-38)*(188 + 0). Let i = p + -669/38. What is the common denominator of -69/8 and i?
8
Let c = 4 + -3. Let m be (c*-6 + 1)*6. What is the common denominator of (0 - 267/m) + 0 and -14?
10
Let s be (0 + 0)*(-2)/(-4). Suppose s = 2*o - 4, 5*n - 6*o - 52 = -2*o. What is the least common multiple of 9 and n?
36
Let j = 11159 - 245439/22. Let w = -8 + -2. Find the common denominator of ((-10)/16)/(1/w) and j.
44
Let k(g) = g**3 + 18*g**2 + 16*g - 15. Calculate the least common multiple of 12 and k(-17).
12
Let u(r) = -r - 7. Suppose 4*c = -25 - 11. Let k be u(c). Find the common denominator of -23/8 and k + (-158)/(-8) + 1.
8
Let b = -72 - -100. Calculate the smallest common multiple of 36 and b.
252
Suppose -4*k - 4 = -7*k - 2*l, 5*k = 3*l + 13. Calculate the smallest common multiple of 7 and k.
14
Let x = -51153/10 - -5104. Let m = -57833/11 - -5253. Find the common denominator of m and x.
110
Let t(p) = -p**3 + 18*p**2 + 17*p + 45. What is the lowest common multiple of t(19) and 2?
14
Let y(b) = -b**2 + 7*b + 4. What is the smallest common multiple of 14 and y(7)?
28
Let l be (-4)/(-14) - 8/28. What is the common denominator of 73/14 and (-79)/12 - (1 - l)?
84
Let p = 11 + -15. Let i = 12 + p. Let m = 63 + -43. Calculate the smallest common multiple of m and i.
40
Let j = 3 + -13. Let f be (-3)/5 - (-24)/j. What is the common denominator of 35/22 and 1*(-43)/(-12) - f?
132
Let x = -1 - -7. Suppose -4*h = h - 10. What is the lowest common multiple of (-12)/(-6)*11/h and x?
66
Suppose 4*f = -b + 1, 2*f + 4*b - 9 = -5. Suppose f = -5*p + 22 - 2. Calculate the lowest common multiple of p and 18.
36
Suppose 2*h - 3*l = -0*h + 18, -6 = -3*l. Calculate the smallest common multiple of h and 16.
48
Let m = 8 - 0. Let v be (m/(-102))/(2/(-1719)). Let y = -5329/102 + v. Calculate the common denominator of y and 8/9.
18
Suppose -3*n + 22 = -5. What is the smallest common multiple of n and 7?
63
Let h(b) = 2*b - 2. Let i be h(5). Let d(w) = w**3 - 7*w**2 - 6*w - 10. What is the lowest common multiple of 9 and d(i)?
18
Let u(v) = -3*v - 1 + 1 - 4. Let y be u(-8). Suppose -f = f - y. Calculate the lowest common multiple of f and 1.
10
Calculate the lowest common multiple of -12*(9/6 + -2) and (-2 + -3)/(2 + -3).
30
Let i = -2195/6 - -388. Calculate the common denominator of i and 284/(-32) + 2/(-8).
24
Let a = -1584 - -11119/7. Calculate the common denominator of 26/5 and a.
35
Suppose -r = -2*k - 2627, -3*k + 7*k + r = -5245. Let b = -11759/9 - k. Calculate the common denominator of b and -19/7.
63
Calculate the smallest common multiple of 2 and -3 + (-2 - -1)*-19.
16
Calculate the common denominator of -43/28 and (-3)/2*(-6)/42.
28
Suppose i = -2*w + 9, -i + 2 = -0*i - 5*w. Let l = 15 - i. Calculate the smallest common multiple of 6 and -5 + 2 + l/2.
6
Find the common denominator of 13/22 and -3 - -65*4/(-48).
132
Suppose -4*f + 32 = 3*j - 4, -36 = -3*j - 5*f. Let r = -5261 - -115653/22. Calculate the common denominator of r and 1/(-4) - 26/j.
132
Suppose 12 + 15 = 3*v. Let j(d) be the first derivative of d**3/3 - 9*d**2/2 + 4*d + 3. Calculate the lowest common multiple of j(v) and 6.
12
Let d = 2638 - 52781/20. Calculate the common denominator of d and -47/6.
60
Suppose -2*h = 4*a + h + 7, -2*a + 14 = -2*h. Suppose -a*m - m = -21. What is the smallest common multiple of 3 and m?
21
Let c = 2433 - 19495/8. What is the common denominator of c and -43/8?
8
Suppose z + 15 = 2*z - 3*g, 4*z + 5*g = -25. Suppose h - 4 + 2 = z. What is the