16
Suppose -4*d - 5*y - 11 - 73 = 0, -84 = 4*d - 2*y. Let l = -8 - d. Suppose -2*p = -l - 7. What is the smallest common multiple of p and 7?
70
Let n = -723/10 - -297/4. Calculate the common denominator of 4 + -1 - (-435)/(-42) and n.
140
Let r be (-1138)/5 + (-6)/15. Find the common denominator of (-1)/(0 - (-32)/r) and 83/12.
24
Let u be 27681/(-3582) + -1 - 1. Let z = u - 21/199. Find the common denominator of z and -17/8.
24
Let z = 155 + -135. Calculate the smallest common multiple of 22 and z.
220
Calculate the common denominator of (-4)/(-14) - 2097/210 and 1 - (-2)/6*10.
30
Suppose 5*k + 14 + 31 = 0. Suppose 0 = 4*n + 76 - 36. What is the lowest common multiple of 9 and 30/k*18/n?
18
Suppose 24 = 2*d + 2*k - 0*k, 5*d = -2*k + 54. Calculate the lowest common multiple of d and 3.
30
Let v(c) = c - 5. Suppose 4*o = k + 23, 5*o - k - 17 = 2*o. Calculate the lowest common multiple of v(o) and 5.
5
Let y(b) = b - 4. Let s be y(4). Suppose u - 14 = -s*u. Let w = 10 - 0. Calculate the smallest common multiple of u and w.
70
Suppose -378 = 2*d - 158. Let c = 52 + -37. What is the common denominator of (-3)/c + 63/d and -93/2?
22
Let m be (-1)/51*339/6. Let y = 18/17 - m. Let k = -11/12 + y. Find the common denominator of -37 and k.
4
Suppose 3*u = 9, 2*u - 4 = -4*c + 2. Suppose 2*x - 2 = 2*v + 6, 2*v - 6 = c. What is the common denominator of x and 16/11?
11
Let p(n) = n**3 - 9*n**2 + 5. Let u be p(9). Suppose 3*h + 52 = 5*f, f - 2*h + 4 = -u*h. Calculate the lowest common multiple of 3 and f.
24
Calculate the common denominator of ((-20)/(-3))/10 + 92/(-15) and 113/10.
30
Let q(y) = y - 3. Let j(h) = -2*h + 2. Let r be j(2). Let s(f) = -5*f + 12. Let d(v) = r*s(v) - 9*q(v). Calculate the lowest common multiple of 2 and d(3).
6
Let t = 1/2022 - 49877/2022. Let b(k) = -5 + 2 + 9*k + 2. What is the common denominator of t and b(-5)?
3
Let k = 9 - 4. What is the least common multiple of k and 6?
30
Suppose 0 = o + 2*o - 6. What is the smallest common multiple of o and 255/18 + (-2)/12?
14
What is the lowest common multiple of (-3*6/(-9))/(4/28) and 8?
56
Let t = 535/4 - 128. Calculate the common denominator of -64/3 and t.
12
Calculate the common denominator of (-71)/(-36) - -6*4/(-192) and 19/27.
216
Let q = 20502/31693 + 9/773. Find the common denominator of 34/9 and q.
369
What is the common denominator of 160/55 + 2 + -5 and 15/2?
22
Let n = 2677/49 + 106479/539. Let b = 253 - n. What is the common denominator of -13/6 and b?
66
Let d = -19/248 + -3/62. What is the common denominator of -25/32 and d?
32
Let a = 135/11 - 1175/33. Let y(p) = 24*p**3 + p**2 + p. Calculate the common denominator of y(-1) and a.
3
Let x = -15601/8 - -1944. Find the common denominator of x and 65/9.
72
Suppose 4 + 4 = 2*s. Suppose s*p + 2*y = -42, -2*p + y = 3*y + 18. What is the common denominator of (-12)/(-16)*25/p and 111/22?
176
Suppose -2*o = 2*o - 8. Let z = 10 + o. What is the smallest common multiple of z and 14?
84
Let r(o) = -o**3 - 6*o**2 - 4*o + 7. Let t(n) = -4*n**2 - 1. Let z be t(-1). Let j be r(z). Calculate the lowest common multiple of (j - 0) + -3 + 3 and 12.
12
Let w = 139 + -134. Calculate the least common multiple of w and 4.
20
Suppose 0 = -3*l + 4*l - 48. Suppose -5*r + 42 = -l. Suppose -5*g = -4*x - 65 - 23, 0 = 4*g + 3*x - 89. What is the smallest common multiple of r and g?
180
Let w = -5/6 + -77/12. Calculate the common denominator of -95/4 and w.
4
Let j(c) = -c**3 + 5*c**2 + 6*c + 2. Let b be j(6). Suppose 5*s = -d + 109 + 2, 4*s + b*d - 90 = 0. Calculate the smallest common multiple of s and 20.
220
Let h be 2 + -4 + (1 - -27). Suppose 2*n + h = 5*m + 6, 5*m + 3*n = 45. Calculate the least common multiple of m and 7.
42
Let v be (-3)/(-6) + (-19092)/32. Let d = -595 - v. What is the common denominator of d and 3/20?
40
Let v = 273299 - 60399199/221. Let z = 10539/3536 + v. Find the common denominator of z and (-490)/(-75) + (-1)/(-6).
80
Let o = -96 + 142. Let w = -5792 - -9342497/1613. Let l = 195163/16130 + w. Calculate the common denominator of l and o.
10
Suppose 15 = -b + 3*u + 2, 4*b + 2*u + 24 = 0. Suppose -5*n + 9 = m, -8 = 5*m - 5*n + 7. Let d = m - b. What is the least common multiple of d and 4?
12
Let k be 0 + -2 + 0 + 0. What is the common denominator of 1/((-16)/132 - 0) and (-19)/(-4) + (-2)/k?
4
Let l(z) = -z**2 - 5*z**2 - 3*z + 4*z**2 - z**2 + 6*z**3. Let c be l(-2). Find the common denominator of (-3)/12 - c/(-10) and 47/18.
180
Let g = -233/5 - -761/10. What is the common denominator of g and 23/8?
8
Let q be 0 - (-2 - -3)*-3. Suppose 122 = 5*u - 4*t, 3*u + q*t - 54 = -t. What is the least common multiple of u and (-1 + (-26)/10)*-5?
198
Suppose -z = 6 - 1, -60 = -5*w + 4*z. Calculate the least common multiple of (-24)/(-14)*(3 - -4) and w.
24
Let z(l) = 2*l**3 - 3*l**2 + l + 2. Let w be z(2). Let j = -7 + w. Calculate the lowest common multiple of 8 and j.
8
Let q(s) = -s**3 + s**2 + 14. What is the smallest common multiple of q(0) and 126?
126
Let x be ((-2)/3)/(2/42). Let q = 24 + x. Calculate the smallest common multiple of 7 and q.
70
Find the common denominator of (-54)/4 - 9/(-36) and -31/6.
12
Let j = 6481/4 - 1635. Calculate the common denominator of j and (-4)/(-12) + (-338)/(-48).
8
Let c = -12 - -21. Let b = 4 - 3. Let i = 2 - b. Calculate the smallest common multiple of i and c.
9
Let r = 12 + -2. Let k be (-9)/6*2 + 3. Let i = r - k. Calculate the smallest common multiple of 16 and i.
80
Let g = -840955/91 + 9241. Let r = g - 4047/182. What is the common denominator of r and (39/40)/((-3)/(-18))?
20
Let n be (-226877)/(-47480) - (-4)/(-10). Let z = n - 4/1187. Find the common denominator of -1/7 and z.
56
Find the common denominator of 67/14 and 4/18 + (-325)/(-630).
42
Suppose 42 = -3*t + 2*c, t - 4*t = 2*c + 54. What is the smallest common multiple of t/(-10)*(0 + 5) and 9?
72
Calculate the common denominator of (-4)/(-18) + 1420/495 and -43/2.
22
Let d = 539/3 - 2045/12. What is the common denominator of d and 87/16?
16
Calculate the smallest common multiple of 1 + (-446)/(-26) + (-4)/26 and 6.
18
Let y be (-12)/(-10)*(-10)/(-3). Let v(c) = c**2 + 2*c - 4. Suppose 0 = 3*z - 5*r - 61, 4*z = 7*r - 3*r + 84. What is the lowest common multiple of v(y) and z?
220
Suppose s - 6 = -0*s. Let w = 99 + -95. What is the lowest common multiple of w and s?
12
Let n(u) = -u**3 + 5*u**2 + 6*u - 1. Let v be n(-5). Let x = -2163/10 + v. What is the common denominator of -119/10 and x?
10
Suppose p + 2*s = 6*p - 56, -5*p = -s - 53. What is the common denominator of -93/4 and ((-7)/p)/((-16)/20)?
8
Let d(n) = -n - 15. Let f be d(0). Let r be (f/(-6))/(1/42). Find the common denominator of (r/(-18) - 0) + 0 and 97/12.
12
Let m(s) = 2*s + 1. Let r be m(1). Suppose 0 = -6*i + r*i + 2*x - 5, -2*i = -5*x + 7. Calculate the common denominator of i/16*(-3 + -43) and 91/10.
40
Let m = -39 + 40. Calculate the smallest common multiple of 4 and m.
4
Suppose 0 = -5*c - o + 16, -2*o - 8 = 0. Suppose -2*r = -3*a - 32, -r + 48 = 2*r + c*a. Calculate the smallest common multiple of 32/3 + (-6)/9 and r.
80
Let q be 12/66 + (-60)/(-33). Suppose -q*y + 17 = 1. Calculate the smallest common multiple of 10 and y.
40
Let k = -9551/7 - -1371. Let w = -32011/11 + 2912. What is the common denominator of k and w?
77
Let a(x) = 18*x**2 + 2*x - 3. Let l be a(-3). Suppose 593 = 4*r + l. What is the common denominator of 95/4 and (-4)/18 - r/(-252)?
28
Let d be 0 - -1 - 3/3. Suppose d = -x - 0*x - 3. What is the common denominator of x/((-12)/(-122)) + 2 and 36?
2
Let s = 68247/16 + -4270. What is the common denominator of 131/18 and s?
144
Suppose 3*o + 49 = 4*l, l + 43 = 4*l - o. Calculate the lowest common multiple of l and 2.
16
Let d be (-22)/(-4) + 4/8. Suppose -2*i - 4 = 4*p - 2, 5*p - 4 = 4*i. What is the lowest common multiple of 9 and i/((-2)/3)*d?
9
Let v = -1/5915 - -632923/106470. What is the common denominator of v and 69/16?
144
What is the common denominator of 1/(1692/572 - 3) and -49/6?
6
Suppose -6*d = -2*d + 136. What is the least common multiple of 3 and d/(-4) - (-5)/(-10)?
24
Calculate the smallest common multiple of (-2)/(-4) - 66/(-12) and 22.
66
Let a be 496470/22 + (-6)/(-33). Let k be -1 + (-4)/(46368/a). Let o = 