nd n.
10
Let k = -837/68 - 33/17. Find the common denominator of k and -55/6.
12
Let v = -1412051/48552 + -1/16184. Let w = v - -103/12. Find the common denominator of 28/(-22)*(-2)/8 and w.
22
Let d = 1613/20 + -305/4. Suppose -4*w + 2*x + 26 = 0, 3*x = -2*w - 5 - 2. Calculate the common denominator of d and (-2 - (-4 + 0))/w.
10
Suppose 7 = -c + 5*u - 9, -4*c + 2*u + 8 = 0. Let h = c - 3. Calculate the least common multiple of 5 and h.
5
Suppose 0 = 4*q - 14 - 18. Suppose 2*p = -5*p + 35. Suppose 5*z = -p*t + 25, 0*t + 2*z - 4 = t. What is the least common multiple of q and t?
8
Suppose -100 = 3*y - w - 5, -3*y - 4*w - 70 = 0. What is the smallest common multiple of 8/12*y/(-2) and 18?
90
Let w(p) = -3*p**3 + p**2 + p. Let u be w(-1). Calculate the common denominator of 85/18 and (-237)/42 - u/(-1).
126
Let i = -1412 - -2297. What is the common denominator of ((-2)/(-20))/((-6)/i) and 121/10?
20
Let r be (-1*12)/((-10)/(-15)). Let t = -11 - r. Calculate the least common multiple of t and (-78)/(-8) + (-12)/16.
63
Let c be 4779/(-6)*16/3. Let s = c - -46682/11. Calculate the common denominator of s and (-2)/3 + (-1628)/(-165).
55
Let i = 236123/30 - 7870. Find the common denominator of -35/27 and i.
270
Let x = -395 - -1145/3. Calculate the common denominator of x and -27/5.
15
Find the common denominator of 49/22 and 15/10*47/18.
132
Suppose 5*x = h - 4*h + 312, -3*x = -9. Suppose 0 = 5*q - 3*o + 21, q + 18 = -4*o - 0. What is the common denominator of (-12)/h*q - 2 and 7/2?
22
Let h(m) = m + 40. Let u be h(0). What is the common denominator of 10/u + (-46)/32 and -139/12?
48
Let i = -1019828/57 + -10392/19. Let n = i - -18655. Let o = n + -224. Find the common denominator of 67/2 and o.
6
Let b(k) = 5*k + 4. Let t be b(-5). Suppose -5*x = -20, 2*y - 3*y + 5 = 4*x. Let l = y - t. What is the smallest common multiple of 1 and l?
10
Let n = -1713/4 + 425. What is the common denominator of -19/10 and n?
20
Let q = -8706 + 304747/35. What is the common denominator of 53/5 and q?
35
Suppose -3*t - 8 + 29 = 0. Let s(f) = 2 - 3*f**3 - 3*f**2 - 5*f - f**2 + 7*f + 4*f**3. Calculate the least common multiple of s(4) and t.
70
Let z = 14 + 7. What is the lowest common multiple of 27 and z?
189
Let o be (-6)/24 - (-37)/4. Find the common denominator of 55/9 and (45/o)/(12/(-50)).
18
Suppose g + 150 = 4*g. Suppose 4*f + g = 3*f. Let o = 23207/8 + -2911. What is the common denominator of o and f?
8
Let m(y) = y**3 + 5*y**2 - 3*y - 5. What is the lowest common multiple of m(-5) and (-1 + -1 - -5) + (5 - 2)?
30
Suppose 0*i - 5*i + 155 = 0. Suppose 0 = -5*k + 2*q + i, -3*k + 26 + 1 = -4*q. What is the lowest common multiple of k and 1?
5
Let d be 0/((-3)/((-3)/1)). Let m = 6 - d. What is the smallest common multiple of m and 16?
48
Let y = -36973/14088 + -1/1761. Find the common denominator of y and (26/(-12))/((-1)/(45/(-40))).
16
Let p be 2/4 - (-1511)/(-14). Let w = p - -106. What is the common denominator of (1/(-7))/(2/(-24)) and w?
7
What is the smallest common multiple of (-55)/(-5) - (-5 + 5) and 10?
110
Let a = -15757/4 + 3917. Find the common denominator of (-97)/(-6)*(-6)/(-8) and a.
8
Let s = -30461/29130 - -12/971. What is the common denominator of s and 137/6?
30
Let u = 30 - 19. Suppose 4*j - 5*g - 14 = -8*g, -3*g = 2*j - 4. Suppose 0 = -n - 0*n + v - 2, 4*n = 3*v - j. Calculate the lowest common multiple of n and u.
11
Let a = 13621/6 + -2285. Find the common denominator of 59/18 and a.
18
Let p be (-6)/(-10) - 188/200. Let c = p - -287/50. What is the common denominator of (124/(-6) - -2)/2 and c?
15
Let m = -15 - -35. Calculate the lowest common multiple of 2 and m.
20
Let f(x) = -12*x. Let c be f(-1). Let d be ((-6)/(-4))/(c/16). Find the common denominator of 38/11 and (-27)/d*1/(-3).
22
Suppose 2*m + 2*m - 12 = 0. Suppose 2*f + 2*k + 3*k = 4, 0 = -m*f - 4*k + 6. Suppose -d - d + 44 = 0. What is the lowest common multiple of f and d?
22
Suppose -7 = 4*h - 0*d + 5*d, 5*h - 1 = -3*d. Suppose 4 = -3*c - 5*t, -c - h = 2*t - 0. What is the smallest common multiple of c and 4?
4
Let s(a) be the first derivative of 10*a**3/3 + a**2/2 + a + 2. What is the least common multiple of 12 and s(-1)?
60
Let g(i) be the second derivative of -i**3/6 - 9*i**2/2 - 2*i. Calculate the lowest common multiple of 5 and g(-10).
5
Suppose -10 = -0*f + 5*f. Let x = -1 - -4. Find the common denominator of 7/x - f/1 and 13/11.
33
Suppose 25*m - 20*m = 80. Suppose 16 = -5*w + s + 125, 3*s - 69 = -3*w. Calculate the smallest common multiple of m and w.
176
Find the common denominator of 813/18 + 2*(-1)/(-6) and 149/6.
6
Suppose 5*k = -3*j - 18, 0*j = -2*j - 2*k - 12. Find the common denominator of (-362)/60 + j/(-18) and (-1)/14 - (-1 + 0).
70
Suppose 0 = -3*r - r + 3*t + 23, 22 = r - 4*t. Calculate the lowest common multiple of r and 7.
14
Let k = 143/3 + -62. Find the common denominator of k and -16/11.
33
Let j = -237 + 16391/68. Let l = 2/51 + j. Let b = -8399/12 + 698. Calculate the common denominator of b and l.
12
Let w = -9 + -3. Calculate the common denominator of (3/(-2))/(w/236) and -47/5.
10
Let y(r) = r**2 - 4*r - 9. What is the smallest common multiple of 8 and y(-3)?
24
Let v = -7 + 14. Suppose 3 = -4*j - j + 2*r, j - r = 0. Let q = v + j. Calculate the lowest common multiple of q and 16.
48
Suppose -2*m + 15 - 11 = 0. Calculate the least common multiple of m and 86.
86
Let j = -96 + 1349/14. Calculate the common denominator of j and -25/4.
28
Let x be (-1)/7 - 1228/(-1736). Let q = x - -2137/992. Calculate the common denominator of -83/12 and q.
96
Let c = 15/71 + -7291/568. What is the common denominator of c and -27/22?
88
Suppose -5*n + 41 = -0*a + 3*a, -5*a = 4*n - 64. Calculate the lowest common multiple of 8 and a.
24
Let d = -256781/110 - -11648/5. Calculate the common denominator of 19/14 and d.
154
Suppose 4*u + 138 = -2*y, 5*u + 176 = -0*y + y. Let n = -25 - u. What is the least common multiple of 4 and n?
20
Suppose 2*r - n = 2, 3*r - 25 = 5*n - 8. Let h be (1/(-3))/(r/9). Suppose -h*m - 11 = -b + 6, 0 = 5*b + m - 21. What is the least common multiple of b and 9?
45
Let a be (1 + 9)*(-4)/(-10). Let p(f) = f**3 - 9*f**2 + 8*f - 1. Let l be p(8). What is the common denominator of -113/10 and 0 - -62*l/a?
10
What is the least common multiple of (-328)/(-18) - (-4)/(-18) and (-4)/(-1) - (5 - 3)?
18
Let l(y) be the first derivative of -y**2 - 4. What is the smallest common multiple of l(-5) and 8?
40
Suppose 0*p = -4*p + 16. Suppose t = 2*t - p*z - 28, -5*z = -4*t + 90. Calculate the least common multiple of t and 18.
180
Calculate the common denominator of (3/18)/(-1)*(-15 + -1) and -57/8.
24
Calculate the common denominator of 2/8 - (-831)/(-36) and 1*(2 - (-195)/(-9)).
6
What is the smallest common multiple of 10 and (0 + -1)*1 + 9?
40
Let x = -3 - -25. Suppose 0 = o - 6*o - 3*h + 15, -o - h + 5 = 0. Suppose q + o*q - 22 = 0. Calculate the smallest common multiple of q and x.
22
Let r = 446778583841908 + -35800367923968855337/80130. Let q = r - -1246/8013. Let h = 8952 + q. Find the common denominator of 71/8 and h.
40
Let t = 410 + -803/2. Let j = -2866 - -17251/6. Find the common denominator of j and t.
6
Let d = 7 + -3. Suppose p + 17 = d*a, -3*a - 2*p = -3 - 7. Calculate the least common multiple of 9 and a.
36
Let p = 119 + -115. Calculate the least common multiple of 18 + 0/(-3) - 2 and p.
16
Let k = -691/7 - -103. Let m = 5575/3 + -1878. Find the common denominator of k and m.
21
Let z be ((-22)/5)/(39154/(-10)). Let h = z - 411254171/117462. Let u = h - -3510. Calculate the common denominator of u and 143/12.
12
Suppose -168 = -3*u - u. Suppose 4*g - 6 = -u. Let r = -1 - g. Calculate the lowest common multiple of r and 3.
24
Suppose 2*c - 126 = -2*f - 2*f, 0 = f - 5*c - 15. Calculate the common denominator of (31/f)/((-5)/(-15)) and 2/(-3) + (-203)/(-30).
10
Let p(l) = l**2 + 2*l - 1. Let h = -13 + 16. Calculate the smallest common multiple of p(-3) and h.
6
What is the common denominator of 81/82 and 1/(-42) + 6/63?
574
Let b(z) = 3*z**2 - 4*z + 7. Let l be b(6). What is the common denominator of -9/7 and (1 - l)*8/64?
28
Let o(m) = m + 12. Let u = -4 - -10. Calculate the least common multiple of o(-7) and u.
30
Let k(u) = u**3 - 