t b be 2 - (4 - 1/1). Let c = 3 + b. Calculate the smallest common multiple of c and p(2).
20
Let o(b) = b**3 - 9*b**2 + 14*b + 1. What is the least common multiple of o(7) and 408?
408
Let h(v) = 19*v - 6*v - 31 - 11*v + v**2. Calculate the smallest common multiple of 6 and h(-7).
12
Suppose -4*m + 99 = 2*n - 41, 0 = -2*m + n + 66. Suppose -16*z - 4 = -2*a - 21*z, 0 = -5*a - 5*z + 10. What is the least common multiple of m and a?
34
Let c = -2044 + 143083/70. Let w = c - 461/140. Let f = -41611/24 + 1731. Calculate the common denominator of f and w.
24
Let b(d) be the first derivative of 3*d**3 + 2*d**2 + 3*d - 1. What is the smallest common multiple of 7 and b(-1)?
56
Let d(i) = 513*i**2 + 17*i - 18. Calculate the least common multiple of 20 and d(1).
2560
Let z = 22 + 1/3. Let o = 28/3 - 191/6. Calculate the common denominator of o and z.
6
Suppose 0 = 92*c - 86*c - 252. Calculate the smallest common multiple of 6 and c.
42
Let u be (-13)/(4/(0 + 4)). Find the common denominator of (-7 - -9)*u/(-5) and 37/23.
115
Let g(d) = -4*d**2 + 45*d - 116. Let v be 0/(-1) - -1 - 7. Calculate the smallest common multiple of g(6) and (-3)/(2/(56/v)).
70
Let t = 831 + -1423. Let a = 624892 - 6254859/10. Let s = t - a. Find the common denominator of 131/18 and s.
90
Let t = 9 + -7. Let h = t + -1. Calculate the common denominator of (h/6)/(2/(-91)) and 5/4.
12
Find the common denominator of 3/28 and (-2581)/(-2320) + 1/4.
560
Calculate the smallest common multiple of 53 and (-1)/(6/(-4))*(-360)/(-60).
212
Suppose 46 = 3*y - i - 0*i, -3*y = -5*i - 26. Let h be 35635/(-16765)*y/(-22). Let u = h - -2/5269. Find the common denominator of -43/10 and u.
70
Let m(k) = -k**3 + 10*k**2 - k + 5. Let r be m(10). Calculate the common denominator of 3/r + (-663)/(-180) and -83/22.
132
Let y be (-150)/8*897/18. Let l = y + 932. Find the common denominator of 97/10 and l.
40
Suppose 3*t + 30 = 4*n, 0 = 2*n - 0*n + 5*t - 2. Let b(s) = s**2 - 6*s + 6. What is the lowest common multiple of 10 and b(n)?
30
Let w = 84 - 74. Calculate the smallest common multiple of 4 and w.
20
Suppose -2234 = -36*k + 538. What is the smallest common multiple of 5 and k?
385
Let u = 701/297 - -5/27. Let z = -9904/233 + 3/466. Find the common denominator of u and z.
22
Let u = 1477 + -1425. What is the least common multiple of u and 168?
2184
Suppose b - 3*h - 4 = 9, 4*b = 2*h + 32. Suppose b = 2*f - 3. Suppose -2*g - 54 = -f*g. Calculate the lowest common multiple of 22 and g.
198
Let v(d) be the first derivative of -d**2/2 + 10*d + 8. What is the smallest common multiple of v(3) and 17?
119
Let u be (-13 + 41)*(-46)/8. Let l = u - -165. What is the lowest common multiple of 16 and l?
16
Let n = -256 + 261. Calculate the lowest common multiple of 62 and n.
310
Let o = 63 + -57. Let y = 11811/10 - 1178. Find the common denominator of 2/(-5) - (-8 + o) and y.
10
Suppose 0 = 5*i - 2*t - 11 - 72, 3*i = -2*t + 37. Suppose 4*v + 191 = -2*n + 203, -3 = -n - 3*v. What is the lowest common multiple of n and i?
60
Let j(p) = 5*p - 12. Calculate the smallest common multiple of j(4) and 3282/14 + 15/(-35).
936
Suppose 26 = f - k, -3*f - 22*k + 84 = -19*k. What is the smallest common multiple of 162 and f?
162
Let p(j) = j**2 + 4*j - 3. Let q be p(-7). Suppose v = -2*v + q. Calculate the smallest common multiple of v and 10.
30
Suppose 15*h = -12*h + 2025. Calculate the least common multiple of 11 and h.
825
Let o be (-23598)/(-12) - (-1)/(-4). Let i = o + -1941. What is the common denominator of 81/22 and i?
44
Let c(i) = 6*i**2 + 3*i + 14. What is the smallest common multiple of c(-2) and 80?
160
Suppose 34 - 104 = -35*u. Calculate the lowest common multiple of u and 1972.
1972
Let x = -88617 - -43954075/496. Calculate the common denominator of x and 71/22.
5456
Let n(t) = 3*t - 14. Let q be n(6). Suppose -5*m = -3*s - 44 - 16, q*m + s - 65 = 0. What is the lowest common multiple of m and 1?
15
Let i = 444859/724299 - 2/12707. What is the common denominator of -61/63 and i?
1197
Let f(z) = -17. Let y(d) = -d + 69. Let l(v) = -9*f(v) - 2*y(v). Calculate the lowest common multiple of 49 and l(-4).
49
Let p be 24*(4 + -3)/3. Suppose p*f + 72 = 2*f. Calculate the common denominator of 196/f + -4 - 3 and -41/19.
57
Let y be (-1266)/18*4/(-3). Let i = 7801/90 - y. Let x = 70231/14408 + 1/1801. What is the common denominator of x and i?
40
Let k = -21/121547 + -20384282477/1458564. Let q = -13984 - k. Calculate the common denominator of q and -53/32.
96
Let f(i) = -i**2 + 8*i + 7. Let k(v) = -3*v**2 + 24*v + 21. Let j(m) = 7*f(m) - 2*k(m). What is the lowest common multiple of 7 and j(7)?
14
Let d be ((-1)/(-20))/(56/(-11860)). Let w = -190/21 - d. Find the common denominator of w and ((-214)/6)/((-40)/(-12)).
120
Let n be 1 - (2/(-2) - -122). What is the common denominator of 1/3 - 1235/n and ((-9)/6)/((-1)/(-29))?
8
Suppose -2*o - 12 = -d - 0*d, 99 = 5*d + 3*o. Calculate the common denominator of -41/79 and (-2)/4 - 0 - 237/d.
237
Let k(o) = -o**2 - 8*o + 3. Let w be k(-6). Calculate the common denominator of w/275*5*(-79)/12 and -59/24.
264
Suppose -3*i + 86 - 113 = -5*k, 0 = -3*k - 3*i + 21. Suppose 5*m = 3*s - 4, 0 = m + 5*s + 10 + 2. Calculate the lowest common multiple of 0 + m + 3 + 1 and k.
6
Let n be (-282)/18 - (-2)/3. Let g = 13 + n. Calculate the smallest common multiple of (-9)/(-18) - 23/g and 14.
84
Let w be (-12)/9 - (-848)/6. Suppose -q + w = 4*q. What is the least common multiple of 20 and q?
140
Suppose 6*g - 3*g - 6 = -b, 2*b = 3*g + 3. Suppose b*p - 9 = 21. Calculate the lowest common multiple of (-450)/(-21) + (-8)/(-14) and p.
110
Let a = -550001/36 - -15280. Find the common denominator of -133/24 and a.
72
Let k(i) = -i**2 + 46*i - 187. What is the least common multiple of 7 and k(40)?
371
Let t = -1297/10 - -6733/52. What is the common denominator of t and 49/15?
780
Let u = 59 - 66. Find the common denominator of (-2*(-237)/48)/(u/4) and -31/12.
84
Suppose -3*j = 5*i - 3, 0*j + 4*j = -i + 4. Calculate the lowest common multiple of 192 and j.
192
Suppose 5*n = 4*b - 3, 2 = b + 5*n - 5. Suppose b*z + 1 = 9. Let f(q) = 12*q**2. Calculate the lowest common multiple of z and f(1).
12
Let l = -1544 + 169833/110. Calculate the common denominator of l and 45/11.
110
Suppose -5*d + 4*z = -5, -5*d - 2*z + 2 = -3*d. Let r be (d/(-3))/((-11)/66). Suppose 4 = -0*c + r*c. Calculate the lowest common multiple of 4 and c.
4
Let l = -191 - -1135. Let c = l - 7623/8. Let p = 1129/156 - -5/52. Calculate the common denominator of c and p.
24
What is the common denominator of 52/18 - (-3 + -11 + 13) and ((-8)/(-6))/(6/16)?
9
Let i(s) = -s**3 - 12*s**2 - 23*s + 6. Let r be (-1 - 15/(-9))*(-19 + 4). Calculate the least common multiple of 12 and i(r).
36
Let y = 1163181/506924 + 10/11521. Find the common denominator of -6/11 and y.
44
Suppose 46*x - 33*x = 1560. What is the lowest common multiple of x and 21?
840
Let a(o) = -o**2 - 95*o + 74. Let q(x) = -x**2 - 63*x + 49. Let j(n) = -5*a(n) + 7*q(n). Calculate the lowest common multiple of j(15) and 30.
330
Let q(b) = -b**3 + 4*b**2 + 2*b - 5. Let d be q(4). Suppose -g = 5*t + 22, d*g + 4*t + 14 = g. What is the least common multiple of 20 and -3 + 45/(g - 0)?
60
Let c = -100315/14 + 7162. Calculate the common denominator of c and 1*279/(-30) + -3.
70
Suppose 19*k = 18*k + 3, -4*k + 2012 = 5*b. What is the smallest common multiple of b and 80?
400
Let c = 9289 - 130131/14. What is the common denominator of c and 95/698?
4886
Let h = 10280628865 - 203083542642937/19754. Let o = h - 1/1411. What is the common denominator of -69/4 and o?
28
Suppose 3*f - 2*t + 14 = 0, 0 = -5*f - 6*t + 4*t - 18. Let k be 5/(20/8) - f. Suppose k*h - 26 - 10 = 0. Calculate the smallest common multiple of h and 6.
6
Let d(x) = x + 43. Let g be d(-45). Suppose 0 = -4*q - 12, -v - 60 + 12 = 3*q. Find the common denominator of -48/5 and 1 + (v/27 - g).
45
Let f = -29160492/13 - -87248285755/38896. Let i = 18/187 - f. Calculate the common denominator of i and -61/14.
112
Find the common denominator of 52/95 and 588/9*((-15)/12)/(-5).
285
Let z(a) = -3*a + 216. What is the smallest common multiple of 390 and z(54)?
3510
Suppose -2 - 4 = -2*x. Calculate the common denominator of 94