on multiple of 10 and q.
360
Let p(j) = 2*j**3 - 12*j**2 - 13*j + 2. What is the least common multiple of 9 and p(7)?
9
Let v = -1612 + 8088/5. Let g = -1385 - -12508/9. What is the common denominator of g and v?
45
Let z = 10 + -6. Let u(w) = 8*w - 4. Let h be u(z). Suppose -8*y + 4*y + h = 0. Calculate the lowest common multiple of y and 5.
35
Let r be (20/(-15))/((-6)/9). Let s(d) = d**2 + d - 3. Calculate the lowest common multiple of 9 and s(r).
9
Let z(d) = 40*d**2 - 5*d - 9. Calculate the smallest common multiple of z(-2) and 35.
805
Let j = 163041 + -12553985/77. Let o = j + -15/7. Calculate the common denominator of o and -33/4.
44
Let g(z) = -5*z**2 - 10*z + 17. What is the smallest common multiple of 63 and g(-3)?
126
Let b(r) = 42*r + 6. Let n be b(7). Find the common denominator of -34/23 and -4 + n/78 - 239/(-117).
207
Let y(i) = 57*i - 42. Calculate the smallest common multiple of 33 and y(1).
165
Let n = -61849/6264 - 1/783. Find the common denominator of n and -109/290.
1160
Let o = 7748/7 + -1105. Let z = -23/7 + o. Calculate the common denominator of z and 31/2.
14
Suppose 0 = 5*v - 1 - 9. Let l = v - -10. Let a = -10 + l. What is the smallest common multiple of a and 1?
2
Let g = 3848122166668/59460177 + 4563609/56791. Let c = -64798 + g. Let p = c + 64939/5235. What is the common denominator of p and -115/6?
30
Suppose -5*j - 36 = 4*f - 2*f, 27 = -2*j - 5*f. Suppose m - 4*m = -36. Let q = j + m. What is the lowest common multiple of 6 and q?
6
Let b(d) be the second derivative of -4*d - 3/2*d**3 - 1/12*d**4 + 0 - 3/2*d**2. Calculate the least common multiple of b(-7) and 5.
55
Let y be 9/(-6)*(-8)/(-12). Calculate the common denominator of (-1)/(5/15) - (-61)/14 and 22/(-36) + y + 2.
126
Find the common denominator of (10/(-2430))/(3/117) and -19/63.
567
Let f(j) = -j**3 + 18*j**2 + 23*j + 8. Calculate the smallest common multiple of f(19) and 24.
168
Let r(d) = -d**3 + 8*d**2 - 2*d + 16. Let q be r(8). Suppose q = 2*i - 54 + 6. What is the lowest common multiple of 24 and i?
24
Let h = 2979/5 - 608. Calculate the common denominator of -125/24 and h.
120
Let v = 51043/9300 - -84240163/362700. Let k = -649/117 + v. Let a = k + -233. Calculate the common denominator of 47/3 and a.
15
Let x = -4327/6 + 618533/858. What is the common denominator of 103/104 and x?
1144
Let i(l) = l**3 - 5*l**2 - 7*l - 9. Let w be i(6). Calculate the common denominator of 366/(-270)*w/6 and (-117)/(-10) + -1 + -2.
90
Suppose 3*k - 156 - 147 = 0. Calculate the least common multiple of k and 6.
606
Suppose 2*q = -q + 27. Let f be 1/((-5)/(-15)) + -4. Calculate the smallest common multiple of q and (8*f)/2 + (-27 - -34).
9
Let p = 101173/100232 - -9/4556. Find the common denominator of p and 33/20.
440
Let b(l) = 6*l - 16. Let t(k) = 7*k - 16. Let h(x) = -6*b(x) + 5*t(x). Let f be h(12). Suppose 0 - f = -2*w. Calculate the smallest common multiple of w and 12.
12
Let p be -2*6/48 - (-16111)/(-3480). Let o = -2/435 - p. Calculate the common denominator of 30/11 and o.
88
Let j(u) = -11*u**2 + 17*u + 42. Let m be j(-18). Let k = -61169/16 - m. Let w = -59/280 + 3/35. Find the common denominator of w and k.
16
Let h(j) = -j**3 - 5*j**2 + 3*j - 4. Let s be h(-6). What is the common denominator of (s/(-4))/((-3)/(-9)) and -3/5?
10
Suppose 0 = 36*y - 7*y - 9918. What is the smallest common multiple of 76 and y?
684
Suppose 10 = 3*y - y. Suppose u - y*k = -14, -2 - 36 = -3*u - 5*k. Calculate the common denominator of 155/21 - (-2)/u and -29/11.
77
Let g be (-348)/(-48) + (-10)/8. Suppose 12*x - g*x = 18. Calculate the smallest common multiple of x and 8.
24
Let c = -186/91 + -6429/728. What is the common denominator of c and -5/16?
16
Suppose -5*x = 4*p - 24, x + 2*x + 18 = 3*p. Calculate the common denominator of (-52)/((2/p)/((-6)/198)) and (-2)/(-6) - 358/(-24).
44
Suppose -184 = -4*o - t + 37, -4*t - 12 = 0. Suppose 3*k + k = o. What is the lowest common multiple of 2*2/8*136/17 and k?
28
Let b be (21 + 3)/3*1. Suppose 0 = b*n - 5*n - 12. Let x(p) = 2*p**2 - 3*p. Calculate the lowest common multiple of n and x(4).
20
Find the common denominator of 5/4 and ((-27)/66)/(18/(-4) + 5).
44
Suppose 18*j + 120 = 12*j. Find the common denominator of -69/16 and ((-244)/j*-1)/(4/10).
16
Let m(x) = -x**3 - 7*x**2 + 19*x - 10. Calculate the least common multiple of m(-10) and 200.
200
Let c(f) = 3*f**3 - 6*f**2 - 4*f - 9. Suppose 18 = 3*j - 0*j. Let x be c(j). Suppose -8*m + 39 = x. What is the common denominator of m and -71/2?
2
Suppose -5*q = 3*o - 59, -12*q + 9*q - 1 = -o. Suppose 8*v = 93 - o. Let t(r) = -r**3 + 5*r**2 + 2*r - 2. Calculate the smallest common multiple of t(5) and v.
40
Let b be -2 + 1 - -3*1. Suppose 0 = 3*q + b*q - 15. What is the smallest common multiple of q and 2 + (-12)/(2 - 5)?
6
Suppose 3*z + 0*g = -3*g - 111, 77 = -2*z - 5*g. What is the smallest common multiple of 18 and 6/z - (-813)/18?
90
What is the common denominator of 232/(-288)*-14 + -3 and 181/30?
90
Let y = -166 + 176. Let f(s) = -s**2 + 3*s - 3. Let l be f(2). What is the least common multiple of y and l*(-9 - 0) + -1?
40
Let s = 10 - 839. Let o = -6663/8 - s. Calculate the common denominator of o and 2*13/6*-1.
24
Let p(u) = 4*u**2 + 1. Let k be p(-1). Let t be 1*(k - 4/2). Suppose 0 = -2*g + 6, 7*g - t*g + 6 = 3*l. What is the lowest common multiple of l and 10?
30
Let q = -2 + 11. Let f be (32/12)/(8/12). Suppose 71 = -f*c + 99. What is the smallest common multiple of q and c?
63
Suppose -3*d + 7*d + 64 = 4*x, -2*x = 3*d + 48. What is the smallest common multiple of 4 and (1 - 4)/(-3 + (-42)/d)?
8
Let r(x) = -5*x - 2. Suppose 2*o = -1 + 11. Calculate the least common multiple of r(-6) and o.
140
Let c = 683/4 + -167. Calculate the common denominator of 95/18 and c.
36
Suppose 6*r - 9 = 9. What is the common denominator of 57/20 and ((-129)/(-45) - r)/(16/2180)?
60
What is the lowest common multiple of (-57)/152 + 1931/8 - 3 and 8?
952
Let t(n) = -n**2 + 9*n - 3. What is the smallest common multiple of t(6) and 24?
120
What is the least common multiple of 10 and 1*1*(6 + -1)?
10
Let y = -3/6245 + -68293/836830. Let a = 311845/22 - 14171. Find the common denominator of y and a.
1474
Let b(z) = z**3 + 7*z**2 + 6*z + 9. Calculate the smallest common multiple of -1 + 25 + 6*(-9)/18 and b(-6).
63
Let n = -55 - -27. Let z be -5482*2/((-192)/n). Let r = z + 1600. Calculate the common denominator of r and -67/2.
12
Let r be (-2)/5 - (-225312)/(-20). Let q = -338053/30 - r. Calculate the common denominator of (2/(-6))/((-6)/(-279)) and q.
30
Let z = -338 - -237. Let o = -145 - z. What is the common denominator of 2 + -10*(-12)/88 and o?
11
Let d = 124 + -114. Calculate the least common multiple of 2 and d.
10
Let s = -686 - -687. What is the smallest common multiple of s and 10?
10
Let y be ((-6651)/(-42))/((-6)/(-128)). Let l = y - 3370. Find the common denominator of ((-3)/((-27)/34))/(96/(-90)) and l.
168
What is the lowest common multiple of 675 and (9/2)/(12/(-560)*-7)?
1350
What is the lowest common multiple of 474/9 + 1 + 4/12 and 12?
108
Let w = -3645 - -21775/6. Let u = 78122 + -232183/3. Let p = u + -710. What is the common denominator of w and p?
6
Let s(q) = 19*q**2 - 11*q**2 + 10*q**3 - 5*q - 6*q**2 + 4. What is the smallest common multiple of 8 and s(2)?
328
Let m = 446629 + -4474137/10. Let n = m + 3119/4. What is the common denominator of n and 36/(-14) + 2 - 2?
140
Let x(f) = 12*f + 5. Let d be x(-3). Let u = d - -43. What is the smallest common multiple of 15 and u?
60
What is the smallest common multiple of 962 and 33/5 - 30/50?
2886
Let a = -4311/1090 + 6/109. Let n be ((-4)/(-147))/(68/(-6)). Let k = -4197/13328 - n. What is the common denominator of k and a?
80
Let r = -13/9 + 28/9. Calculate the common denominator of (-484)/(-280) + 51/(-119) and r.
30
Let t = 1864 + -46608/25. Let d = 83 - 105. Calculate the common denominator of d and t.
25
Suppose -26 = -2*i - 38. Calculate the common denominator of -123/20 and (1 - (-1)/90)/(i/(-15)).
180
Let j(m) = m**3 - m**2 - m - 69213. Let c be j(0). Let v = 280509/4 + c. Let n = v + -902. What is the common denominator of -17/16 and n?
16
Let y(a) = -a - 13. What is the least common multiple of y(-24) and 10?
