1 - 5. Let v = q - -7. Let n = 26 - 16. Calculate the least common multiple of v and n.
10
Let w = -1648 + 4246. Let d = 5291/2 - w. Calculate the common denominator of -73/16 and d.
16
Let b(y) = -y - 3. Let o be b(-6). Find the common denominator of (-2)/o + 17/12 and (-7 + (-885)/(-125))/((-2)/190).
20
Suppose 5 = 2*y + 3*l, 5*y - 27 = l - 6. Let w(x) = 9*x**2 - 1. What is the least common multiple of w(1) and y?
8
Suppose 23 = 4*z - o, 3*z - 7*z - 2*o = -26. Calculate the smallest common multiple of z and 48.
48
Suppose -2*r - 100 = c - 6*c, -5*r = 5*c + 215. Find the common denominator of (52/30)/((-10)/r) and 3/12*(-472)/10.
5
Let m(f) = f. Let r be m(-2). Let d(n) = -n**3 - n**2 - 4*n - 3. Let l be d(r). Find the common denominator of 19/10 and (-2)/(-6)*(-2 - l).
30
What is the least common multiple of 22 and ((-14)/2)/((-11)/22)?
154
Let v = 53403/16 - 3342. Let c = -13350 + 39710/3. Let d = 3601/30 + c. Calculate the common denominator of v and d.
80
Calculate the smallest common multiple of 2 and 15*(-6)/(-150) + (-27)/(-5).
6
Let t = -10 - -20. Suppose -10*b = -9*b - 11. Calculate the lowest common multiple of b and t.
110
Let f = 155 - 415. Find the common denominator of (f/18)/(-5) + -1 and 67/9.
9
Suppose -42 = 4*a - 418. Let o = a + 56. What is the common denominator of 145/6 and (-1885)/o - 4/(-10)?
6
Suppose 0 = c - 2. Let w(o) = -o - 16 - o**3 - o + 3*o**2 + 19. Calculate the least common multiple of w(c) and 7.
21
Find the common denominator of (-785)/(-60) - 2/8 and (-4 + (-34)/(-12))/(20/156).
30
Find the common denominator of (-15)/4 - (13 + -9) and (1*(-86)/(-2))/(-5).
20
Let f be (-2 + 1 - -3) + 8272. Let p = -99427/12 + f. What is the common denominator of -107/6 and p?
12
Suppose -5 = -12*q + 19. What is the lowest common multiple of q and 1/(-2)*2*-8?
8
Find the common denominator of -25/8 and 6/(-21) - 341/(-140).
40
Let x = -143 + 44. Let d = 226/17 + -2163/187. Find the common denominator of d and 1*1/(-4)*x.
44
Suppose -3*j = -14 - 1. Find the common denominator of (-124)/(-6)*j/(-20) and 618/(-40) - (-4)/20.
12
Let u be ((-8)/(-6))/((-7)/594). Let y = 16407/140 + u. Calculate the common denominator of y and (-4)/22 - 11895/(-990).
60
Suppose -k - 8 = 25. Calculate the common denominator of (39/(1 + 12))/(9/55) and k.
3
Let a = -6 + 8. Suppose 0 = -o + a*o + 2. Calculate the lowest common multiple of 12 + 3*o/3 and 8.
40
Let i = -14731/908 - 6/227. Calculate the common denominator of i and 9/19.
76
Suppose -2*r + r - 22 = 2*k, k - 49 = 2*r. What is the common denominator of (-58)/r + (-1 - 1) and 51/14?
84
Suppose 2*c - j = 11, -c + 9 = -4*j - 7. What is the least common multiple of c and 22?
44
Suppose -2*z - z + 5*c = -57, -29 = -z + 5*c. What is the least common multiple of 18 and z?
126
Suppose -l - 2*l = -5*r + 141, 5*r - 133 = -l. Suppose -2*u = -3*j + 30, j - r = -3*u - 2*u. What is the smallest common multiple of j and 18?
36
Let t(q) = 17*q**2 + q. Calculate the smallest common multiple of 40 and t(1).
360
Calculate the common denominator of (-3 + 68)*3/6 and 717/(-105) - (-8)/20.
14
Let b(n) = -6*n + 4. Let y be b(3). Let u = y - -38. Let k = -4 + u. Calculate the smallest common multiple of k and 2.
20
Calculate the lowest common multiple of 2 and -4 + 22 - (0 - -2).
16
Let z = -1859209 - -208234289/112. Let r = -2449/21 + 289/3. Let p = r + z. Find the common denominator of 9/2 and p.
16
Let t(q) = -6*q - 2. Let u be t(-1). Suppose -u*v - v = -25. What is the lowest common multiple of 2 and v?
10
Let a = 3149/18 + -174. Find the common denominator of a and -23/14.
126
Let o = -6 - -10. Suppose 0 = z + 2*z - a - 21, 0 = -a - 3. What is the smallest common multiple of z and o?
12
What is the lowest common multiple of 18/36 + (-19)/(-2) and 16?
80
Let t(l) be the third derivative of -l**4/24 + l**3/2 - 3*l**2. Let v be t(6). Let c = -2 - v. Calculate the lowest common multiple of 7 and c.
7
Calculate the common denominator of 1/28 and (-561)/(-270) + 2 + (-2)/(-9).
140
Let g(b) be the third derivative of -b**5/30 - b**4/12 + b**3/3 + 3*b**2. Let c be g(-4). What is the common denominator of -55/2 and 4/c - (-398)/(-352)?
16
Suppose -x - 5*v + 8 = 0, -v + 5 - 7 = 0. Calculate the least common multiple of 8 and x.
72
Suppose 55 = -0*p + 5*p. Suppose -7 - p = -d. What is the lowest common multiple of d and 6/(-2)*16/(-3)?
144
Let r = -72133/16 + 4514. Find the common denominator of 65/22 and r.
176
Let j = -19 + 23. Calculate the smallest common multiple of j and 20.
20
Find the common denominator of 42/5 and (-1 - 148/40) + 5.
10
Let i be ((-2)/4)/(3/(-30)). Suppose 5*c - 2*h - 13 = 0, -3*h = i*c - 4*c - 6. Let q = 273 - 263. What is the lowest common multiple of c and q?
30
Let c be 96/15 - (-4)/(-10). Let g(k) be the third derivative of k**4/8 + 9*k**2. What is the lowest common multiple of 18 and g(c)?
18
Let y(u) = -3*u - 2. What is the smallest common multiple of y(-8) and 6?
66
Suppose 0 = 2*r - 12 - 2. Suppose -2*b = -r*b + 20. Suppose -5*h = 5*n - 2*h + 147, -4*n - b*h = 124. Calculate the common denominator of n and 25/11.
11
Let o(a) = a**3 - 7*a**2 + 5*a + 5. Let g be o(6). What is the smallest common multiple of 1 and (-1)/(3/12*g)?
4
Suppose l + 4 + 0 = 0. Let t = 1 - -5. What is the least common multiple of t and (-2 - -1 - l)/1?
6
Calculate the common denominator of (-8)/(-18)*58/(-16) and (317/110 - (-1)/(-5)) + 0.
198
Let y(b) = b**2 + 2*b + 2. Let d(l) = l - 8. Let n be d(0). Let i = 4 + n. What is the lowest common multiple of y(i) and 20?
20
Let r = -3/547 + 6122/19145. What is the common denominator of r and -27/20?
140
Let u be ((-3)/(-2))/((-8)/(-16)). Let v(t) = -6*t - 3. Calculate the common denominator of 15/2 and v(u).
2
Let k = -39 - 6. What is the common denominator of k and 63/4?
4
Let a = -8933/45 - -982/5. Calculate the common denominator of a and -27/10.
90
Suppose 2*p - 18 = 2*t + 3*p, 0 = -4*p. What is the common denominator of t + 10 - 98/12 and 38/9?
18
Calculate the common denominator of 50/3 and 9/(-45) + 119/45.
9
What is the common denominator of -7/4 and 22/99 + (-5)/18?
36
Suppose -5*o - 10 = 2*r, 7*r + 4*o + 25 = 2*r. Let t = 1 - r. Calculate the least common multiple of t and 5.
30
Let z = 12 + 6. What is the least common multiple of z and 1/(-1 + 5/4)?
36
Suppose 4*h + 145 = 13. Suppose 0 = -5*g - 4*t - 95, 0*g = 2*g + 5*t + 21. Let o = g - h. Calculate the smallest common multiple of 2 and o.
10
Let c(r) = -3*r - 6. Let u be c(7). What is the common denominator of u/6 - 8/(-12) and -18/11?
66
Calculate the smallest common multiple of (-334)/(-12) + (-2)/(-12) and 20.
140
Suppose v + 3*v - 744 = 0. Let s be v/((-3)/6*3). Calculate the common denominator of s/(-6) + (-4)/6 and -35/8.
8
Let g = 3521 + -31730/9. Calculate the common denominator of g and 145/6.
18
Find the common denominator of 2 + (-4)/(-18) + (-600)/108 and 46/27.
27
Let i(z) = 3*z + 6. Let u be i(-6). Let k = -9 - u. What is the lowest common multiple of 1 and k?
3
Let a = -32509/18 - -5404/3. Let h(k) = -k. Let m be h(1). Calculate the common denominator of a and 50/16 + (m - -2).
72
Suppose 261 = 4*j - 179. Calculate the smallest common multiple of j and 12.
660
Suppose 5*s - 37 = -3*b, 2*s - 5*b - 3 = 18. Suppose 75 = -0*o + 5*o. Let l = o - 11. What is the least common multiple of l and s?
8
Let z = -69 - -76. Calculate the least common multiple of 9 and z.
63
Let z(l) = 2*l**2 + 3*l + 4. Let g be z(-3). Suppose 5*v - 63 + g = 0. Let a = -31 + 45. Calculate the least common multiple of a and v.
70
Let t(i) = -2*i + 3 - 7 - 5. What is the least common multiple of 9 and t(-6)?
9
Let o = 27 - 25. What is the lowest common multiple of o and 4?
4
Suppose 2*f - 67 = -27. What is the least common multiple of f and 8?
40
Suppose w - 7 = -3*g, -g = w + 2*w + 3. Let m(z) be the second derivative of z**4/4 + z**3/2 + z**2/2 + 2*z. What is the lowest common multiple of 2 and m(w)?
14
Suppose -b - 15*j + 28 = -11*j, 0 = -5*b - 3*j + 89. Calculate the least common multiple of 2 and b.
16
Let c be (-48)/(-22) + 2/(-11). Calculate the smallest common multiple of 9 and (10/4 + -2)*c.
9
Let m = 1156994/61193 + 10/5563. Let f = m + -1432/99. Find the common denominator of -35/6 and f.
18
Let b = -26 - -3