 12 - a. Calculate the smallest common multiple of g and 10.
30
Suppose -2*c = c + 2*z - 32, 2*c + 4 = 5*z. Suppose 4*o - c*o + 7 = 3*t, 2*t = -o + 8. Calculate the common denominator of 21/4 and o/(1 + 231/(-213)).
12
Let d = 19215/418 - 952/19. Calculate the common denominator of d and -51/8.
88
Calculate the lowest common multiple of 5/(-2)*14/(-7) and 3.
15
Suppose 3*h + 41466 = -5*j - 6448, 0 = j + 5*h + 9596. Let v = -57335/6 - j. Find the common denominator of v and 17/8.
24
What is the common denominator of -27/4 and (-171)/6 - (-1 + 1)?
4
Let s be ((-2)/3)/(2/(-9)). Calculate the common denominator of -47/11 and (-14)/s + -4 + 2.
33
Suppose -2 = -3*d - 2*w, -3*d - 4*w = -5*w - 17. Suppose 5 - 25 = -d*k. What is the lowest common multiple of 2 and k?
10
Suppose 0 = 13*c - 14*c + 1. Let u be 4/14 + (-654)/(-14). What is the common denominator of (u/(-4)*1)/c and -101/8?
8
Suppose 9 = 4*h - 7. Suppose 2*d = 3*l - 19, -29 = -h*l + 2*d - 3*d. Let z(m) = m**2 - 7*m + 7. What is the smallest common multiple of z(l) and 10?
70
Let v = -647326/35 + 18497. Calculate the common denominator of 99/10 and v.
70
Let u = 642/3841 + -4793689/253506. Let h be 1/6*16/(-11). Let c = h - u. What is the common denominator of c and 79/4?
4
Suppose 4*g = 3*g + 5. Suppose -2*m + 2*i - 1 = m, -g*m - 5*i + 15 = 0. Calculate the least common multiple of m and 9.
9
Let x = -17 + 47. Find the common denominator of (-2)/(-2) + (-237)/12 and 9/6*121/x.
20
Suppose -2*m + 31 = 9. Let a = 6 + -1. Calculate the smallest common multiple of m and a.
55
Calculate the common denominator of -55/14 and (-59)/(-14)*(2 + -1).
14
Suppose -3*b + 24 = 5*a, -15 = -4*a - 0*b - b. Calculate the least common multiple of -5 + 2 - ((-21 - -5) + 3) and a.
30
Suppose -11 = 4*y + 1. Let o(j) = -14*j - 2. Let h be o(y). What is the common denominator of 252/h*(-8)/6 and 23/3?
15
Let p = 32 - 28. What is the least common multiple of 2 and p?
4
Let u(q) be the first derivative of -5*q**2/2 - 4*q - 2. Calculate the least common multiple of u(-6) and 2.
26
Let h be 3/(0 - 6/4). Let m be (-1)/h - (-490)/(-116). Let i = m + 1889/406. Find the common denominator of -85/16 and i.
112
Suppose 2*z + 5*q + 145 = 6*z, 0 = -3*z - 3*q + 75. What is the least common multiple of z and 27?
270
Let c = 0 - -3. Calculate the lowest common multiple of (-3)/3*-1 - -11 and (0 - 0) + (c - 1).
12
Let s = 266/3 + -90. Suppose 3*f = -4*d + 35, -22 = -2*f + 3*d + 7. Find the common denominator of s and (-2 + f)/(2 - -5).
21
Suppose 0 = 3*m - 4*z - 19, 2*z = 2*m + z - 11. Calculate the common denominator of -39/5 and m.
5
Suppose -2*k + 3*t + 1 + 6 = 0, -t = 2*k - 19. Calculate the common denominator of 4 + -2 + 75/k and 15/11.
88
Let s = -4 + 4. Suppose s*f + 3*j - 14 = -2*f, -j + 22 = 5*f. Let r = -4 - -8. What is the least common multiple of r and f?
4
Let j be (-166)/(-10) - 2/(-5). Let i = -9 + j. Calculate the smallest common multiple of 5 and i.
40
Calculate the common denominator of (-20)/(-6) + 0 + (-1)/2 and -11/7.
42
What is the common denominator of ((-26)/56)/(5/40) and -35/8?
56
Let x(d) = d**3 + 5*d**2 + d + 7. Calculate the smallest common multiple of 7 and x(-5).
14
Let z(x) = x**3 + x**2 - 2*x - 2. Let n be z(3). Suppose c + 4*c - n = 2*s, 4*c = -4*s. What is the lowest common multiple of c and 9?
36
Let s be 4/(-6) + (-5)/(-6). Let u = s + 1. Let f = 465/22 - -15/11. Calculate the common denominator of f and u.
6
Let v(h) = 42218*h - 2. Let f be v(2). Let t = 22881660/271 - f. Let j = t + 14169/4336. Calculate the common denominator of j and -151/18.
144
Let o(z) = z**3 + 5*z**2 + 5*z + 3. Calculate the lowest common multiple of o(-2) and 1.
5
Calculate the common denominator of 108/(-40)*39/9 and 61/10.
10
Let v = -190/7 - -7125/238. What is the common denominator of v and -33/14?
238
What is the common denominator of 7/5 and (-9)/4*(-124)/24?
40
Let d = -266710 - -1079219/4. Let x = d + -3112. Let a = 304 + -3033/10. Find the common denominator of x and a.
20
Let g = 2097/4 + -539. Let f be 2*(-1017)/(-6) - 1. Let b = 705/2 - f. Calculate the common denominator of b and g.
4
Let f(j) = 4*j + 20. Let y be f(-6). Let u(l) = l**3 + 3*l**2 - 4*l + 1. What is the lowest common multiple of u(y) and 22?
22
Let n = 3 - -13. Calculate the lowest common multiple of 4 and n.
16
Suppose -15 = -2*a + 4*j - 5*j, -3*j + 20 = a. What is the lowest common multiple of a and 14?
70
Let p(i) = -i + 28. Calculate the least common multiple of p(16) and 16.
48
Let y = 31943/120 + -1591/6. Calculate the common denominator of y and -59/12.
120
Let u = -150 + 158. Calculate the smallest common multiple of u and 28.
56
Let w = -1 - 89. Let j be 2/w*(-19917)/42. Let s = j - 446/21. Find the common denominator of s and -51/16.
80
Suppose 0 = -t - 5 + 19. Suppose 3*v + 9 + 0 = 0, 0 = -4*r + 5*v + 47. Suppose 3*d - 56 + r = 0. Calculate the least common multiple of d and t.
112
Let u(d) = d**2 - 11*d + 14. What is the lowest common multiple of u(10) and 2?
4
Let v be (3 + -3 - 2) + 7. What is the common denominator of -33/14 and 9/12*v/4?
112
Let v = 14123 - 423581/30. Find the common denominator of v and 109/18.
90
Let a be -3*(5/(-3) + 0). Suppose 95 = -l + 2*l. Suppose 5*w - 4*v = 37 + 51, -a*v = 4*w - l. What is the least common multiple of w and 20?
20
Let q = 70321/510435882 - -1/76954. Let x = q + -134873/13266. Let u = 22153/1098 - 5/549. Calculate the common denominator of u and x.
6
Let n(k) be the third derivative of -k**4/24 + k**3/6 + 2*k**2. What is the smallest common multiple of n(0) and 8?
8
Let i be 13 - (-3)/((-6)/(-4)). Suppose p = -0*p + i. Suppose 4*l - u = 24, -15 = -5*l - 5*u + p. What is the smallest common multiple of 12 and l?
12
Let o = -957/20 + 2087/45. What is the common denominator of o and 89/20?
180
Let q(g) be the second derivative of -g**4/12 + 7*g**3/6 - 7*g**2/2 + 3*g. Let r be q(6). What is the lowest common multiple of (r - -31)*10/15 and 32?
160
Let u = 16 + -22. Let j = 12 + u. Calculate the least common multiple of j and 4.
12
Let q(g) = 2*g**2 + 3*g. What is the lowest common multiple of (-140)/(-15)*6/4 and q(-2)?
14
Suppose -8 = 3*p - 5*i, 3*p + 4 = i + 3*i. What is the smallest common multiple of 18 and p?
36
Let m = 284821744 + -1190270011057/4179. Let n be 2792/4179 - (-4)/(-6). Let h = m - n. What is the common denominator of 79/10 and h?
30
Let t = -164201/22 + 7460. What is the common denominator of 77/18 and t?
198
What is the smallest common multiple of 20 + (-5)/(15/12) and 10?
80
Let c = -658/3 - -217. Find the common denominator of c and -73/3.
3
Let a(b) = b - 3. Let m = -7 + 9. Calculate the lowest common multiple of m and a(4).
2
Calculate the lowest common multiple of 18 and (-10)/3*(-3 + 12/(-4)).
180
Let d be (-80)/(-14) + (-12)/(-42). Suppose -5*c = -2*c - d. Suppose 10 = -2*l, 0*j = -j - 5*l - 15. Calculate the lowest common multiple of j and c.
10
Suppose 67 = 6*a + 19. What is the smallest common multiple of a and 9?
72
Suppose 0*p + 8 = 2*p, -3*s - 2*p + 26 = 0. Let n(j) = j**2 - 4*j - 4. What is the least common multiple of n(s) and 9?
72
Let l = -6/53 - -5377/212. Let a = -1998 + 9933/5. Find the common denominator of a and l.
20
Let f = -2433137/11450 + 6/5725. Let u = f + 248. Let v = -1/92 - 5609/276. What is the common denominator of u and v?
6
Suppose -4*v - 26 = -4*s + 62, -v = 2. Calculate the least common multiple of s and 4.
20
Suppose -6 = -2*l - 2. Suppose m + 15 = -b, 2*b = -l*b - m - 54. Let o = b - -61. Find the common denominator of o and 47/10.
10
Suppose 41 + 19 = 5*n. Suppose c = -5*f + n, 2*c + 0*f - 4*f = -4. Calculate the least common multiple of 0 + (2 - c) + 18 and 12.
36
Let i = -6 - -10. Suppose 0 = -0*m - 3*m + 9. Suppose m*a + 32 = 5*y, -y - 4*y + i*a + 31 = 0. What is the lowest common multiple of y and 7?
7
Calculate the common denominator of (45/(-150))/((-24)/(-125)) and -47/32.
32
Let p = 11 - 8. Let t = 15 + -5. What is the least common multiple of p and t?
30
Let w = 2427 + -26733/11. Let x be (3/3)/((-1)/(-6)). Calculate the common denominator of ((-276)/(-45))/((-4)/x) and w.
55
Let p(t) = 16*t + 1. Calculate the smallest common multiple of p(3) and 4.
196
Let g = -21 - -27. Let v(l) = l**2 - 3*l - 4. What is the lowes