and h.
55
Let h = -2835/4 - -20113/28. Let q be -3 - (818/(-84) + -2). Let i = h - q. Calculate the common denominator of i and -79/8.
24
Let w be 15630/20*(-4)/22. Let h = w + 142. Find the common denominator of h and 11/7.
77
Let z(m) = -2*m**3 + m - 3. Let q(t) = 5*t**3 + t**2 - 3*t + 8. Let b(s) = -3*q(s) - 8*z(s). What is the lowest common multiple of 9 and b(5)?
495
Suppose -6*f + 40 = -f. What is the least common multiple of (-16)/(-40) + 432/20 and f?
88
Let x(n) = 1 - 7 - 5*n + 5. Let s be x(-1). Suppose s*t - 2*t + 22 = 2*h, 0 = -h - 5*t + 11. What is the lowest common multiple of 4 and h?
44
Let k = -15 + 39. What is the common denominator of 23/20 and ((-146)/k)/(52/(-39))?
80
Suppose -4*d - 21 = -4*i - 5, 3*i - 4*d - 12 = 0. Suppose -5*t - 3 = r, 2*r - 3*t = -i*t + 12. Calculate the least common multiple of 8 and r.
56
Let f = -8109/20 - -405. Calculate the common denominator of (-1*(-4)/(-80) + -2)*-1 and f.
20
Suppose 2*r = -10, -5*d + 8*d - 16 = -4*r. Let k(a) = a**3 + 5*a**2 + 3*a + 2. Suppose -5 = o - 1. What is the smallest common multiple of k(o) and d?
12
Let q = 97528 + -1071489/11. Let v = q - 120. What is the common denominator of v and 1/(-12)*(161 - 3)?
66
Let k = -3 + 5. Suppose 0 = -60*h + 491 - 11. What is the smallest common multiple of k and h?
8
Suppose 5*r = b - 12, 4*r + 43 = 4*b - 5. What is the lowest common multiple of 2 and b?
12
Suppose 0 - 2 = a, 8 = z + 3*a. Suppose 5 = -3*q + z. Calculate the common denominator of (1/(-3))/((-6)/372) and q.
3
Find the common denominator of 4 + 366/(-150) - (-1)/2 and 41/10.
50
Suppose -35 = -5*t + 2*k + 51, 2*k - 10 = -t. What is the least common multiple of 12 and t?
48
Let f = -169122459709099/4240 - -39887373310. Let n = f + 3/4240. Let m = n - 736. Calculate the common denominator of m and 37/12.
60
Let r(p) = p**3 + 12*p**2 + 9*p - 17. Let y be r(-11). What is the least common multiple of 3 - (-5 - (y - 4)) and 33?
99
Let a = 19352 - 1161079/60. Calculate the common denominator of 94/15 and a.
60
Find the common denominator of 393/630 - (-2)/14 and -31/90.
90
Let p(h) = h**3 - 5*h**2 + 4*h + 4. Let d be p(6). Find the common denominator of 23/7 and (6/d)/((-24)/176).
112
Suppose 0 = -13*c + 6*c + 329. Let t = -100097/14 + 7156. Find the common denominator of c and t.
14
Let y(u) = -2*u**2 - u + 1. Let d be y(2). What is the smallest common multiple of (-3)/d + 1/(-3) - -11 and 15?
165
Let r be 1/(0 + 3/(-15)). Let j(u) = u + 5. Let s(o) = 1. Let n(l) = -j(l) + 5*s(l). What is the lowest common multiple of n(r) and 3?
15
Let y(h) = -h**2 + 3*h + 4. Let z(u) = -u + 11. Let v be z(11). Suppose -6*m + 3*m + 9 = v. Calculate the lowest common multiple of y(m) and 12.
12
Suppose h + 2*h - 54 = -4*y, 5*h = -3*y + 101. Let d = -18 + h. Find the common denominator of -67/18 and d/10 - (-348)/(-320).
144
Let c = 69 - 54. Let b = -3 - 11. Let t = b + c. Calculate the smallest common multiple of 9 and t.
9
Suppose z = -z + 20. Let f = 40 - 32. Let r = z - f. Calculate the lowest common multiple of r and 28.
28
Let n = 3 - 9. Let l(j) = -8*j + 4. Let a(i) = 17*i - 8. Let k(p) = n*a(p) - 13*l(p). What is the lowest common multiple of 6 and k(8)?
12
Let t = -16895/16 + 3164/3. Find the common denominator of 107/88 and t.
528
Calculate the common denominator of 43/4 and (84/(-120) - -1)/((-168)/110).
56
Let v = 15133/38 - 398. Let t = 677 - 13577/20. What is the common denominator of v and t?
380
Let c be -2 - (521/(-1034) - (-21)/(-14)). Let s = c + 19113/4136. Find the common denominator of 17/20 and s.
40
Suppose 4*u + 21 = -b, b + 2*b = -u - 8. Calculate the common denominator of -1*1 - (-138)/20 and (49/(-6) + b)/(9 + -7).
60
Let u(v) = v**2 - 4*v + 10. Let n be (3 + -5 - (-8)/(-2))/(-1). What is the smallest common multiple of u(n) and 6?
66
Find the common denominator of 17/4 and (4 - 1) + (-2290)/180 + 4.
36
Suppose 26*a + 1500 = 30*a - 5*d, -3*a + 1152 = 3*d. What is the least common multiple of a and 16?
1520
Calculate the common denominator of -52/9 and (-8)/44 + (-1 - 864/(-154)).
63
Let b be (-1 + 2/4)*-8. Suppose 0*o - o = -b. Suppose -s - 4*s = -5*k + 70, -o*k + 2*s = -56. Calculate the smallest common multiple of k and 12.
84
Let x(i) be the third derivative of i**5/60 + i**4/3 + i**3/3 - 4*i**2. What is the least common multiple of 16 and x(-10)?
176
Let h = -6779/3 + 2285. Calculate the common denominator of h and -59/3.
3
Let k(d) = 1 - 10 + 11*d - 15 - 3*d. Calculate the lowest common multiple of k(6) and 21.
168
Let x = 163/5 - 909/40. What is the common denominator of x and (-18)/(-56)*(11 + 0)?
56
Let h(k) = 3*k**3 + 40*k**2 - 23*k - 54. Calculate the least common multiple of h(-13) and 92.
828
Let r(m) be the first derivative of -m**4/4 + 8*m**3/3 + 11*m**2/2 - 12*m - 4. Calculate the smallest common multiple of r(9) and 8.
24
Suppose -n + 3*f = -6*n - 1305, -4*n + 4*f - 1012 = 0. Let p be (3/(-2))/(9/n). Let x = p + -21. What is the smallest common multiple of x and 8?
88
Let o be (4 - 3)*(-4)/((-8)/(-78)). What is the common denominator of ((o/(-2))/3)/((-1023)/62) and -10/3?
33
Suppose -5*x = -4*q + 89, -2*x + 12 = 2*q - 28. Find the common denominator of -53/5 and 380/24*q/(-28).
40
Let k = -120/313 + 43069/3756. Let y = 44389/19476 + -3/2164. Find the common denominator of y and k.
36
Suppose -3*x - 6*a = -a + 68, 2*a + 2 = 0. Calculate the common denominator of 143/30 and (x/18 - -1)*52/(-18).
270
Let i = -2/431 - 20650/8189. Find the common denominator of -5/2 and i.
38
Suppose -5*c + a = -295, -3*c = a + 4*a - 205. Suppose 0 = 5*w - h + 54 + c, 3*w = h - 68. Let i = 37 + w. What is the smallest common multiple of i and 16?
112
What is the common denominator of 1 - (10 - 8 - 73/64) and 79/22?
704
Calculate the common denominator of (-97)/12 - (26 + -25) and 97/12.
12
Let a = -1731 - -1746. What is the least common multiple of a and 2/12 + 161/6?
135
Let f be (3 - (262/(-4) - -1))*12. What is the common denominator of -89/2 and 3681/f + 4/10?
18
Let s(w) = w**2 + 10*w - 69. Calculate the lowest common multiple of 50 and s(-17).
50
Let r be (122/8)/((-24)/(-176)). Let f = r - 274/3. Let d = -538 + 10757/20. Find the common denominator of d and f.
20
Let n = 1 - 11. Let m be (-55)/n + (-3)/6. Suppose t - 18 = 3*l, m*t - 2*l = t + 32. Calculate the smallest common multiple of 22 and t.
66
Suppose -5*f = -4*d + 38, -7*d = -11*d + 3*f + 42. What is the smallest common multiple of 4 and d?
12
Let g(x) = x**3 + 14*x**2 + 12*x - 3. Let b = 11 + 5. Calculate the smallest common multiple of g(-13) and b.
80
Let o = 276 - -20. Calculate the smallest common multiple of o and 333.
2664
Let a = 409003/12 + -11322193/332. Let q = a + -63/83. Find the common denominator of -71/4 and q.
12
Let u = 10/1883 + 42979/62139. Let m = 1/10157 - -436745/60942. What is the common denominator of u and m?
66
Suppose -3*s - r + 5 = -10, -3*r = 4*s - 25. Find the common denominator of 73/16 and -3 + 7 + 79/s.
16
Let j = 47 + -100. Let p = j - -57. Calculate the lowest common multiple of p and (-1 + 1 - 2)*-1.
4
Let z = -22/367 - -10261/5872. Let y be (-1461*3/6)/(-9). Let p = y - 1168/15. Find the common denominator of p and z.
80
Let t(z) = -z + 1. Let d be t(-2). Suppose 4*n - 14 = -d*f - 0*f, 3*f - 8 = -n. What is the least common multiple of 5 and f?
10
Suppose -10*r = -1293 + 363. Let h = r - 497/5. Calculate the common denominator of 139/66 and h.
330
Let v = -776019 - -7014620/9. Let j = 3377 - v. Calculate the common denominator of j and -103/6.
18
Let w(q) = -q**2 + 6*q - 6. What is the common denominator of (-10)/(-25) - (-56)/110 and w(8)?
11
Suppose -4*p - 3*a = -3*p - 25, -4*p - 5*a = -58. Calculate the lowest common multiple of 8/1*(0 - -1) and p.
56
Let x(v) = -2*v - 4. Let d be x(-4). Let y(w) = 3*w - 7. Let t be y(d). Suppose -t = l - 11. What is the smallest common multiple of 6 and l?
6
Calculate the common denominator of (-209)/198*(7/(-5))/1 and -69/4.
180
What is the common denominator of -97/36 and ((-23)/345)/(9/235)?
108
Let g = 8 + -18. Calculate the common denominator of -38/11 and (-22)/g + (6 - 2).
55
Let z = 5 + -9. Let o = -65/2 - z. What is the common denominator of o and (-4 - (-11 - -8)) + (-295)/30?
6
Let t(k) = -3*k + 9. Calculate the lowe