3 - 5*p**2 + 7*p - 4. Calculate the least common multiple of c(4) and 1.
8
Let i be 8/(-6)*(-249)/(-22). Let u = -127/66 - i. Calculate the common denominator of (-446)/40 - (-1)/4 and u.
30
Let f(a) = 2*a + 18. Let r be f(-9). Suppose -2*u + 2*d - 2 = r, 0 = -4*u + u + 2*d + 2. Calculate the lowest common multiple of 20 and u.
20
Let m = -248 + 2033/8. Let d = -32 + 24. Find the common denominator of m and 4 - 3/d*-78.
8
Let q = -37/14 - -459/28. What is the common denominator of q and ((-525)/400)/((6/(-56))/(-1))?
4
Suppose 2*k = 5*w - 9, -2*w + 9 = 3*k - 2*k. Let v = 618 + -3067/5. What is the common denominator of v and ((-55)/w)/((-2)/3)?
10
Suppose -3*y + 12*y = 54. What is the least common multiple of 27 and y?
54
Suppose -2*x + 7*x = -4*h + 47, 9 = 3*x. What is the least common multiple of h and 7?
56
Suppose 2*k - 2*y - 5 - 5 = 0, -3*y - 3 = 0. Suppose -2*m - 3*m = -4*p + 47, -3*p + 4*m = -34. What is the lowest common multiple of k and p?
36
Find the common denominator of ((-6)/(-14) + (-4257)/(-2268))*2 and 101/20.
180
Let r = 78 - 75. Calculate the lowest common multiple of r and 4.
12
Let w = 27 + -15. Calculate the smallest common multiple of 96/15 - 2/5 and w.
12
Let l(g) = -g**2 - 6*g - 1. Let q be l(-6). What is the least common multiple of (-2 - q) + 6/2 and 3?
6
Calculate the least common multiple of 6/18 + (-52)/(-6) and 5.
45
Let k = 1546 + -18593/12. Find the common denominator of k and 79*(-1)/(-12) + -1.
12
Suppose 0 = 7*j - 2*j + 8924640. Let n = j - -1035259463/580. Let x = 1/116 - n. Find the common denominator of x and 62/3.
30
Let v be ((-6)/(-4))/((-5)/(-10)). Let u be (33/(-9) - -3)*v. What is the lowest common multiple of 4 and 38/4 - 1/u?
20
Suppose 4*b + 6 = 5*b. Calculate the lowest common multiple of b and 10.
30
Let c be (-164124)/63*2/4040. Let j be -2 - (-2 + (-4)/(-1010)). Let m = c - j. Calculate the common denominator of 77/8 and m.
56
Suppose -u - 8 = u. Let k = 14 - 12. Calculate the least common multiple of k and 4*((-14)/u + -1).
10
Let p(c) = 2*c**2 + 7*c - 6. Let d be p(-6). What is the common denominator of -37/10 and (-2)/(-5)*870/d?
10
Let n = 4/95 + -1283/1140. What is the common denominator of (-44)/(-360) + 2/(-5) and n?
36
Let p be -2*9/6 + 12. Suppose -3*c + 2 = 5*y - p, 0 = 2*c - 4. Find the common denominator of 17/5 and y.
5
Let l = 67 - 61. Calculate the smallest common multiple of 27 and l.
54
Suppose 0*r + r + 3 = 0. What is the common denominator of (215/(-30))/((-2)/r) and -75/22?
44
Suppose -l - 2*l + 12 = 0. Let j = -6 + l. What is the least common multiple of 4 and (j*1)/(3/(-33))?
44
Let u = 45 - 35. Calculate the lowest common multiple of u and 2.
10
Let o(k) = k**2 + 7*k + 4. Let f be o(-6). Find the common denominator of -133/6 and (-188)/(-6)*f/8.
6
Let s = 17/105 + -3419/2310. What is the common denominator of 79/14 and s?
154
What is the common denominator of 27/10 and 2384/(-12)*2/(-16)?
30
Suppose -2 = g - 1, -4*d = 5*g - 115. Let y = d + -16. Calculate the smallest common multiple of y and 2.
14
Let o = -1 - -13. Suppose -l + 10 = z, -5 = -3*l + l + 3*z. Let j = o - l. What is the lowest common multiple of j and 10?
10
Let d(o) = o**2 + 4*o + 3. What is the lowest common multiple of 3 and d(-5)?
24
Suppose f - 5*l = 81, -5*f + 4*l + 477 = 3*l. Suppose 2*x = -3*t + 4*x + f, -t = 5*x - 49. Find the common denominator of 85/8 and -5*t/32 - -2.
16
Let i = -24 - -22. Suppose -2*o + 0*o + 44 = 0. Calculate the least common multiple of 616/99 + i/9 and o.
66
Suppose 2*j - 4*a = -a + 129, 5*a = 3*j - 195. Let o be (3/6)/((-3)/j). What is the common denominator of ((-2)/4)/(o/(-204)) and -48?
5
Suppose 2*j = a - 19, 4*a + 3*j - 112 = 2*j. What is the lowest common multiple of a and 1?
27
What is the common denominator of (-1690)/(-39)*(-1)/12 and 118/6*(-3)/22?
198
Let o = 18 + -2. Calculate the smallest common multiple of o and 14.
112
Let d = 28 + -21. What is the least common multiple of d and -1 - 18/((-4)/2)?
56
Let c = 419733/8 + -52532. Let d = c + 5071/72. Calculate the common denominator of 43/22 and d.
198
Suppose 85 = 3*b + 5*q, -b - 4*q + 41 - 1 = 0. Let u = 7 - -3. Calculate the least common multiple of u and b.
20
Let u be 9 - 9 - (-4)/5430. Let o = -219931/21720 + u. Calculate the common denominator of 99/8 and o.
8
Let o(b) be the second derivative of 1/6*b**3 - 2*b + 0 + 1/20*b**5 + 5/12*b**4 - b**2. What is the least common multiple of 20 and o(-4)?
20
Let w(u) be the first derivative of -u**4/4 - 7*u**3/3 + 5*u**2/2 + 5*u - 1. Let s be w(-8). Let z = s - 20. What is the lowest common multiple of z and 6?
18
Let w = -247/40 + -7/10. Find the common denominator of 119/20 and w.
40
Let m(d) = d**2 + 9*d + 12. Calculate the smallest common multiple of m(-8) and 117/15 - (-4)/20.
8
Let i be 1 + (-1 - -2 - -1). Suppose -3*s = i - 15. What is the least common multiple of s and 1?
4
Let b be (3/9)/(4/12). Calculate the least common multiple of 1*(-18)/(-1)*1 and -33*(1/3 - b).
198
Suppose 0*i + 3*i + 222 = 0. Find the common denominator of 6*(-3)/((-54)/i) and (1/15)/((-2)/(-87)).
30
Suppose l - 5*p + 0*p - 18 = 0, 0 = -2*l + 2*p + 20. What is the smallest common multiple of l and 5?
40
Let s = -78 - -118. What is the smallest common multiple of 26 and s/6*(-3)/(-2)?
130
Let j(g) = g. Calculate the smallest common multiple of 15 and j(1).
15
Let q = 3/178 - 733/1246. Let u(c) = c + 1. Let f be u(1). What is the common denominator of q and f/(-3) - 86/(-66)?
77
Let a = -47/55395 + -19903337/24041430. Let m = 4/93 + a. Calculate the common denominator of 101/12 and m.
84
Let s = 18 - 16. Let r = -34 - 15. Find the common denominator of 6/11 and 3/12 - r/s.
44
Let w = 160 + -299/2. Find the common denominator of w and -5/6.
6
Suppose -5*a = -2*q - 2 + 15, 7 = 5*a + 3*q. Suppose 0 = f + 251 - 41. Calculate the common denominator of 95/22 and (77/f)/(a/33).
110
Suppose 3*y + 6 = 0, 21 = 4*n + 4*y - 7. What is the least common multiple of n and 9?
9
Let a = -34651/9 + 3858. Calculate the common denominator of 93/(-14)*(-42)/12 and a.
36
Let o = 26 - 17. Let t(n) = -n**2 + 14*n + 12. Let p be t(o). Suppose -p = -3*i + 4*v, 3*i - 5*v - 25 - 29 = 0. Calculate the common denominator of -15/7 and i.
7
Find the common denominator of ((-4)/(-6))/((-8)/170) and -25/32.
96
Let m = -5 - -10. Suppose o = -u + 1, 0*o + m*u + 31 = o. Let s(d) = -d**2 + 5*d + 3. Calculate the smallest common multiple of o and s(4).
42
Let q be (4/(-2))/((-3)/36). Let i be 258/4*q/18. Suppose 0 = -4*o - 3*b + i, -2*o + 7*o + 3*b = 106. What is the lowest common multiple of o and 12?
60
Let k = -3 + 3. Suppose -1 = -k*s - s. What is the lowest common multiple of (-4)/(1*(s + -2)) and 4?
4
Let w(y) = y**2 + 2*y - 12. Let c be w(-5). Suppose 22 + 2 = c*i. Calculate the least common multiple of 22 and i.
88
Let k be (-2)/(-5) + 86/10. Let u be k/4 + (-2)/8. Suppose 2*r - 2*h - 14 = 2, -u*r - 4*h + 28 = 0. What is the least common multiple of r and 4?
20
Suppose 3*r + m + 77 = 0, 2*m + 23 = -3*r - 59. Let d be (-2949)/r + 0/(-3). Let x = -122 + d. What is the common denominator of x and -97/6?
24
Let t = -2499 - -9901/4. Find the common denominator of t and (16/(-1))/(42/35).
12
Let c(g) = -g**3 - 7*g**2 - 3*g. Let b = -3 - 3. Let z be c(b). Let j = z - -36. What is the least common multiple of j and 22?
198
Let i be 1/(-1815)*75459/(-4). Let f be ((-5)/(-10))/(242/3). Let c = f + i. Find the common denominator of c and -22/3.
15
Suppose 2*f + 16 = 6*f. Suppose -f*h + 96 = 16. Calculate the least common multiple of 16 and h.
80
Let b = 0 + 1. Let x be b + 1 - (-3 + 3). Suppose 3*d + x*d - 2*z = 26, 4*z = -2*d - 4. What is the least common multiple of d and 16?
16
Let t(r) = -r. Let m be t(-4). Calculate the common denominator of -3 - (-2 - 13/m) and 8/3.
12
Suppose -5*d + 12 = -48. Calculate the smallest common multiple of 10 and d.
60
Let w = 3999 + -47867/12. What is the common denominator of 53/9 and w?
36
Calculate the smallest common multiple of 2 and 136/36*1 - (-4)/18.
4
Let f(p) = -3*p - 37. What is the lowest common multiple of f(-15) and 2?
8
Let m = 11 - 11. Find the common denominator of m + 1/((-18)/38) and 89/10.
90
Find the common denominator of -49/10 and ((-155)/(-12))/5*(2 - -2).
30
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