and r.
297
Let p = 1674 - 9967/6. Calculate the common denominator of -70/3 and p.
6
Let t = -56 - -78. Calculate the lowest common multiple of 6 and t.
66
Calculate the common denominator of -113/6 and 1/(-3) + 20/135.
54
Let t(a) = 3*a - 5. Suppose -20 = -2*s - 4*m, 4*m = -s + 3*m + 13. Calculate the smallest common multiple of s and t(7).
16
Suppose y = 2*y - 576. Suppose -4*q - 2*d + 838 = 0, -2*d + y = 3*q - 54. Calculate the smallest common multiple of (-4)/10 + q/20 and 4.
20
Let n = 45/14 + 3/35. Let v = -78580/9737 - 5/749. Let a = -1636/143 - v. Calculate the common denominator of n and a.
110
Let w = -889 - -21343/24. Calculate the common denominator of w and -85/6.
24
Let o(w) = w + 6. Let h(x) = 1. Let v(b) = 2*h(b) - o(b). What is the least common multiple of v(-9) and 2?
10
Let t(u) = -u + 1 + 2 - 2 + 0*u. Let n be t(-5). What is the common denominator of n/20*(-101)/3 and -81/8?
40
Let h(v) = -41*v - 1. Let p be h(-1). What is the common denominator of 5/(-2)*146/p and 1/(-3) - (-104)/(-3)?
8
Let t = 4 - -2. Calculate the lowest common multiple of t and (-14)/(-1) - (-1 - 1).
48
Let n = -11/9 - 494/45. Suppose -2*c = 4*b - 7 + 39, 3*b + 5*c = -31. Calculate the common denominator of n and b.
5
Let c(z) = -8*z - 2. Let b = 663 + -651. Calculate the smallest common multiple of c(-2) and b.
84
Let l = 33926/63 - 1616/3. Let h = l - -5/7. Let j = -23/2 - 2. Calculate the common denominator of h and j.
18
Let y(p) = 5*p**2 - 2*p - 1. Let j(u) = -2*u + 1. Let s be j(1). Calculate the lowest common multiple of 8 and y(s).
24
Calculate the common denominator of (17/(-9))/((20/(-15))/(-4)) and -15/7.
21
Let z = 7709/2616 + 192/109. Calculate the common denominator of 35/24 and z.
24
Let n = -76 - -130. Calculate the common denominator of -55/3 and 32/(-6)*n/(-66).
33
Suppose -13*z + 30 = -8*z. Calculate the least common multiple of 12 and z.
12
Let a = 697/2 + -359. Calculate the common denominator of -19/9 and a.
18
Let d = 878 - 2662/3. What is the common denominator of 41/6 and d?
6
Let p = -10 - -7. What is the least common multiple of (36/15)/(p/(-20)) and 10?
80
Let x = 144079/19458 - 17/1081. Let f be (-474)/(-1085) + 2/7. Let v = 11/62 + f. Calculate the common denominator of v and x.
90
Let r(h) be the second derivative of h - 2*h**2 - 3*h**3 + 2*h**2. What is the smallest common multiple of 2 and r(-1)?
18
Find the common denominator of (210/49)/((-8)/(-6)) and -9/22.
154
Let j = 1 - -2. Find the common denominator of (3 + 7/(-18))/1 and (3/8)/(j/(-83)).
72
Let f = 313/124 + 7/31. Let b = -35148918861/2 - -352420634907883/20053. Let p = 2/1823 - b. What is the common denominator of p and f?
44
Let p = 47 - 27. What is the lowest common multiple of p and 16?
80
Suppose d = -4*d - 120. Calculate the common denominator of 178/d - (-18)/24 and -33/10.
30
Let u(o) = 7*o + 6. Let j be u(6). Let b(x) = -3*x**2 - 5*x - 2. Let r be b(-4). Let v = j + r. Calculate the lowest common multiple of 10 and v.
90
Let x be (3/6)/(4/16). Suppose -x*n - 2*n + 24 = 0. Calculate the least common multiple of 16 and n.
48
Suppose -72 = -5*o - 12. Calculate the lowest common multiple of 4/(-6) - (-128)/o and 24.
120
Let f = -226915/21 + 10808. What is the common denominator of f and 23/7?
21
Let m = 1211/4 + -309. Let y be ((-82)/(-10))/((-1010)/(-25)). Let i = 7733/1212 + y. Find the common denominator of i and m.
12
Let s = -62737/10 - -6267. What is the common denominator of s and -87/2?
10
What is the smallest common multiple of 4 and (-292)/730 - 12/10*-17?
20
What is the common denominator of 45/2 and (-3)/(2 - 108/39)?
10
Suppose 2*f + 5 = 1. What is the common denominator of (70/784)/(f/12) and -17/10?
140
Let o be -2*(0 + -1 + 2). Let a = 7 - o. Let u(k) = k**3 + 14*k**2 + 12*k - 11. What is the least common multiple of a and u(-13)?
18
Suppose f = 5*f - 20. What is the least common multiple of 3 and f?
15
Let l = -4 - -16. Calculate the smallest common multiple of l and 5/(-4 + 36/8).
60
Suppose 0 = -4*p + 580 + 2696. What is the common denominator of p/88 - (-2)/(-11) and -23/2?
8
Let a = -3/784 + -1061/784. Calculate the common denominator of -7/12 and a.
84
Let a be ((-8)/2)/(14/(-413)). Suppose -3*p - a = -1. Let o = -4608 + 41519/9. Calculate the common denominator of o and p.
9
Let v = -69263/52715 + 30/811. Let b be (-750)/(-117) + (-2)/6. Let g = b + v. What is the common denominator of -61/9 and g?
45
Let r = 6023/246 + -54/41. Let x = 27887/18 + -1553. Find the common denominator of r and x.
18
Let w = -961147/30 + 32042. Find the common denominator of w and (1022/126)/(2 + 0).
90
Let w(a) = -a - 3. Let n = 2 + 5. Let o(r) = -r**3 + 7*r**2 - 2*r + 8. Let c be o(n). What is the lowest common multiple of 4 and w(c)?
12
Suppose 12 = 5*r - 38. Calculate the least common multiple of r and 10.
10
Let p = -8 + 14. Suppose 0 = -2*j + p*j - 2*l - 74, 4*j + 3*l - 69 = 0. What is the least common multiple of j and 4?
36
Suppose 55 = c + 4*c. Let y = 28 - c. Suppose 2*h = 23 + y. Calculate the smallest common multiple of h and 2.
20
Let m = -122821/12 + 10247. Let s = 15855 - 1759891/111. Let u = s + -1897/666. Find the common denominator of m and u.
36
Let w be 0 + (-5)/((-10)/4). Suppose w = 2*u - 4. What is the common denominator of 113/10 and (25/(-3))/((-14)/u)?
70
What is the common denominator of -38 and 2178/216 - 2/8?
6
Let h(f) = -f**3 - 2*f**2 + 2. Let x be h(-2). Suppose x*d + d = 96. What is the common denominator of -19/2 and 2/(-1) + 236/d?
8
Let i = -1 + 2. Let v = -3 - i. Calculate the least common multiple of 88/6*(-6)/v and 18.
198
Let y(g) = -3 - 5*g + 4*g + 2*g. Suppose -25 + 7 = -3*s. What is the smallest common multiple of s and y(7)?
12
Let o be ((-2931)/9)/(2/(-6)). Let l = -2229/2 + o. Let q = l - -133. What is the common denominator of -49/4 and q?
4
Suppose 0 = -5*w + 4*q + 86, -2 = 5*w + 5*q - 52. What is the lowest common multiple of 18 and w?
126
What is the common denominator of (-3)/2*(-33)/(-4) and -1*85/16 + 1?
16
Let l(r) = 2*r + 1. Let z be l(1). Calculate the common denominator of 71/6 and (z/21)/(1/(-6)).
42
Let y = 4 + -2. What is the lowest common multiple of y and 4?
4
Calculate the least common multiple of ((-32)/10)/(0 - (-10)/(-25)) and 4.
8
Suppose 8*j - 8 = 3*j - 3*w, -4*w = 16. Calculate the least common multiple of j and 20.
20
Suppose 4*z - 5*b + 9 + 1 = 0, -z - 2 = -b. What is the common denominator of -58/3 and 77/4 + z/(-2)?
12
Let y = -63427/20 - -3172. Let a = 176291/12 + -14680. What is the common denominator of a and y?
60
Let s be (707/3)/((-6)/(-18)). Let h = -54491/7 - -7080. Let f = s + h. What is the common denominator of f and -63/10?
70
Let r = -20 + 25. What is the smallest common multiple of r and 2?
10
Let o = 72 + -40. What is the lowest common multiple of 20 and o?
160
Let i = -6895 - -61988/9. Calculate the common denominator of -41/22 and i.
198
Suppose j + 24 = 2*j. What is the smallest common multiple of 27 and j?
216
Suppose 0 = -5*n - 11 + 121. Calculate the smallest common multiple of 12 and n.
132
Let u = -1237/248 - -81/31. Let d = -26977 + 76958/3. Let c = 1347 + d. Calculate the common denominator of c and u.
24
Let j(p) be the third derivative of -p**6/120 - p**5/10 - 7*p**4/24 + p**3/3 + 8*p**2. Calculate the smallest common multiple of 18 and j(-6).
396
Let a = 117/253 - 111/23. Find the common denominator of 17/15 and a.
165
Let s(m) = 8. Let w(x) = x - 17. Let c(k) = 5*s(k) + 2*w(k). Let g(z) = 3*z**2 + 15*z. Calculate the least common multiple of g(-6) and c(5).
144
Let p = -1 + 4. Suppose -p*w + 6 = -3. Suppose 2*t - w*t + 1 = 0. Calculate the lowest common multiple of t and 2.
2
Suppose -1 = b + 2. Let v(p) = -p**2 - 6*p - 8. Let o be v(-4). Let j = o - b. Calculate the lowest common multiple of 2 and j.
6
Let t be (-241423)/(-13996) - (5 + -2). Let l = -2/3499 - t. Find the common denominator of l and -47/2.
4
Let y = -11 - -23. Calculate the least common multiple of 16 and y.
48
Let w(p) be the third derivative of p**5/60 - p**4/2 - 5*p**3/3 + p**2. Find the common denominator of w(7) and -10/7.
7
Suppose 5*f - 5*w = -6 - 69, 0 = 3*f + 5*w + 13. Calculate the common denominator of 194/(-56) + (-2)/(-8) and (-5535)/110 - (-2)/f.
14
Let k = -28 + 97/4.