o and h(-8).
30
What is the common denominator of (-4)/(-22) + (-2280)/1408 and (-110)/2*(429/72 + -6)?
48
Suppose -f + 7 = -4*r, f + 10 = -f. Find the common denominator of -8 + 3/(-24)*-2 and (-251)/(-30) + (-1)/r.
20
Suppose 0 = -12*a + 1203 + 1653. What is the smallest common multiple of 102 and a?
714
Let l(x) = -x**3 - 3*x**2 - x + 4. Let b be l(-3). Let z(k) = k**3 - 7*k**2 - k + 10. Calculate the smallest common multiple of z(b) and (44/(-10))/(4*(-4)/40).
33
Let j be 0 - 0 - (-3 + 0). Suppose j*y - 4*y + 5 = 0. Suppose 0 = -0*z + 2*z - 20. Calculate the least common multiple of z and y.
10
Let v = 139/2 - 379/4. Let u(z) = -16*z**2 + z. Let i be u(1). Calculate the common denominator of v and (-9)/i + 183/(-80).
16
Suppose -108 = 235*n - 241*n. What is the smallest common multiple of 16 and n?
144
Let u(f) = f - 2. Suppose 0 = -3*i, -4*m - 5*i + 20 - 120 = 0. Let k = m + 35. What is the smallest common multiple of k and u(6)?
20
Let r = 52 - 29. Suppose -5*k + r = -102. Suppose a - k = -2*p, -22 = -2*p - 2*a - 0*a. Calculate the lowest common multiple of 12 and p.
84
Let o(x) = x**3 + 5*x**2 + 2*x - 2. Suppose 0 = 2*w - 6, -w - 5 = -r - 3. Calculate the smallest common multiple of 10*((r + -4)*1 + 0) and o(-4).
30
Let n = -4392123665/24 + 183031654. Let r = n + -26495. What is the common denominator of -121/20 and r?
120
Let w = -36868939/38394 - -17/19197. Let r = 961 + w. What is the common denominator of -40/21 and r?
126
Let v = -33641/12 - -2806. What is the common denominator of -17/4 and v?
12
Let f = 461 + -1418/3. Calculate the common denominator of f and 25/9.
9
Let n = -33527/61840 - -18/3865. What is the common denominator of n and 7/25?
400
Let u(g) = 2*g - 34. Let o be u(25). Suppose 12*n - o = 10*n. Calculate the smallest common multiple of 30 and n.
120
Let b(i) = i**3 - 4*i**2 - 3*i + 4. Suppose 5*h - 5*z = 5, 0 = -h + 3*z - 7*z + 21. What is the least common multiple of b(h) and 6?
42
Suppose 3*j + 9*x - 4*x - 385 = 0, -j = -x - 139. What is the least common multiple of j and 108?
540
Suppose 5*o + 5*z - 15 = 0, 6*o - 18 = 5*o - 4*z. Suppose -5*p = -10*p + 50. What is the smallest common multiple of p and o/2*(4 - (-4 - -10))?
10
Let a be ((-44)/66)/(-1 + (-22)/(-24)). Suppose 3*i - a*i = 5*n - 75, 5*i - 49 = -3*n. Calculate the lowest common multiple of n and 8.
104
Let x = -15 - -17. Suppose -x*j - 1959 = k, 0*k - 1953 = k + 5*j. Let w = k + 21579/11. Calculate the common denominator of w and -37/3.
33
Let m(g) be the first derivative of -g**2 + 11*g + 37. Calculate the smallest common multiple of m(-2) and 21.
105
Let n(f) = 2*f - 1. Let g be n(2). Find the common denominator of (-4)/(-14) + 679/(-98) and 0 - (g + 356/(-80)).
140
Calculate the common denominator of 4/46*33/(-28) and 7/11.
3542
Suppose 3*i + 0 = 18. Suppose 3*w = 3, -37 = -a - 5*w + 11. Let o = a + -37. Calculate the lowest common multiple of i and o.
6
Calculate the lowest common multiple of 6 and ((-1)/7 - -1)/(5/210).
36
Let g = 155881/40 - 3895. Calculate the common denominator of g and -99/32.
160
Let n be (-198)/110 - (-2)/(-10). Calculate the common denominator of -61/18 and n - -1*59/12.
36
Suppose -5*p + z = -299, -4*p + 11*z - 10*z + 240 = 0. Calculate the lowest common multiple of 8 and p.
472
Let j = -24/553 + -21473/27650. Let b = 2501/130 - 306/13. Let h = -74/5 - b. Find the common denominator of j and h.
50
Let d be -5*(1338/154 - (-1)/(-7)). Let b = 2281/66 + d. Calculate the common denominator of b and -70/33.
66
Let i be 3/723*54729/420. Let u = 6/1205 - i. Calculate the common denominator of u and -67/2.
28
Let l = -4738 - -4747. What is the smallest common multiple of -3 - -1 - 1*-23 and l?
63
Let t = -92 - -135. Suppose 4*r = t + 29. What is the least common multiple of r and 4?
36
Let t = -128779351/904074501 - 5/1191139. Let v = t - -294/253. Find the common denominator of -68/9 and v.
153
Let v = 90719/56 + -1621. Find the common denominator of 25/20*(-18)/15 and v.
56
Let l(q) = q**2 - 4565. Let s be l(0). Let f = -54733/12 - s. Calculate the common denominator of f and -93/74.
444
Let a = 69 - 15. Calculate the lowest common multiple of 6 and a.
54
Let b(z) be the first derivative of -3/2*z**2 + 0*z - 5 + 2/3*z**3. Calculate the lowest common multiple of b(2) and 8.
8
Let z(i) = -i**2 + 5*i + 120. Let w be z(12). Suppose 4*n + 156 = -5*o, 2*o + 37 = 5*n - 32. Let l = w + o. Calculate the smallest common multiple of 9 and l.
36
Let u = 12/55 + 252/55. Let t = 73/10 - u. Calculate the common denominator of t and 6/(-10)*(-3 - 49/14).
10
Let t = 133/8 - 25. Calculate the common denominator of t and 77/32.
32
Let u = -1/970 - 23037/485. Find the common denominator of -27/26 and u.
26
Suppose 90 = 19*a - 746. What is the smallest common multiple of 32 and a?
352
Suppose 2 - 12 = 2*v. Let h = 25 + v. Calculate the least common multiple of h and (-1 - 15)*(1 + -2).
80
Suppose 0*n + 3*n - 39 = 0. Suppose -n = -2*d + 3. Calculate the least common multiple of d and (-16)/(-2) + 20/(16/(-4)).
24
Let a(d) = 2*d**2 + 19*d + 22. Calculate the least common multiple of 29 and a(-9).
377
Let n = -328/229 + 47794/43281. What is the common denominator of 7/6 and n?
378
Let q(t) = -t**3 - 4*t**2 + 5*t + 3. Let i be q(-5). Let u be (-24)/i*4/(-8). Suppose 3*z = u*z - 2. What is the lowest common multiple of z and 24?
24
Let t(c) = c**3 - 4*c**2 - 2*c + 7. Let r be t(3). What is the common denominator of 310/(-65) + 3/3 and (-174)/75*10/r?
130
Let l(r) = -r**3 + 5*r**2. Let i be l(5). Suppose i = 3*k - 2 - 10. What is the least common multiple of 10 and k?
20
Let n be 98584/(-10) + 3/5. Let v = 107701/10 + n. Let q = -915 + v. Calculate the common denominator of -59/2 and q.
10
Suppose -5*x + 29 = 3*c, -16*c + 2*x = -13*c - 1. What is the lowest common multiple of 392 and c?
1176
Suppose 5*x = 2*p - 13, 0*x - 4*x - 8 = -4*p. Let s be (7/2)/(x/(-12)). Suppose 2*a - s = a. Calculate the least common multiple of 20 and a.
140
Calculate the lowest common multiple of 0 + 5 + -5 + (2 - -46) and 24.
48
Let s = -7 + 12. Let w = 31 - 24. Calculate the lowest common multiple of s and w.
35
Suppose 121 = 53*w - 409. Suppose 66 = 5*y + 16. Calculate the smallest common multiple of w and y.
10
Let s be ((-16)/10)/((-1)/10). Suppose -4*v + 2*n = -2*n - s, 2*v + n = 8. Calculate the least common multiple of 2 and -1 - -4 - v - -12.
22
Let d(r) = -r**2 + 25*r - 48. Let w be d(22). Calculate the least common multiple of 189/w + -2 + (-1)/(-2) and 24.
72
Suppose 45 = 3*p + 2*p + 5*f, -5*p + 4*f + 72 = 0. Calculate the common denominator of -23*2/6*6/p and 50/9.
18
Suppose 339 = 2*x - 5*x. Let y = x + 123. What is the least common multiple of y and 8?
40
Suppose -52*o + 59*o = -105. Suppose -18 + 68 = 2*s. Let l = s + o. Calculate the lowest common multiple of l and 5.
10
Let r = 56/11 - -17113/33. Let m = r + -6557/12. What is the common denominator of m and 139/24?
24
Let q(n) = -5*n. Let j be q(-1). Suppose -2*o = -o, -4*o = -j*s + 10. What is the lowest common multiple of 11 and (50/(-4))/(-5)*s?
55
Calculate the lowest common multiple of 1632/(-1428) + 6442/14 and 459.
459
Let q = -587217 - -9389199/16. Suppose -b - 5*g - 394 = 0, -2*g = -3*b + 60 - 1242. Let w = q - b. Calculate the common denominator of 35/12 and w.
48
What is the least common multiple of 84 and -4 + 38 + -5 - -3?
672
Let p(q) be the second derivative of q**4/12 - q**3/3 - 21*q**2/2 - 13*q. Calculate the least common multiple of 15*-4*1/(-10) and p(7).
42
Let p be 4017/4015 + (6 + -2 - 5). Let j = -413533/24090 - p. Calculate the common denominator of j and 89/18.
18
Let a = -44 + 47. Suppose 3*h + 2*o = 2 - 1, 0 = 5*h + 2*o - a. What is the smallest common multiple of h and 12?
12
Let v = -3/1303 + 37847/26060. Suppose 10 = -9*h + 14*h. What is the common denominator of v and h/(-10) - (-709)/(-30)?
60
Let p be (-718)/(-14) - (-4)/(-14). Find the common denominator of 66/(-16) - (0 + 2) and p/2*10/24.
8
Let i(u) = 2*u + 42. Let m be i(-19). Find the common denominator of (-53)/(-5)*2/8 and m + -4 + (-77)/(-18).
180
Suppose -15 = -2*s - 3. Suppose -3*h + 15*h = 288. Suppose -h = -x - 2. Calculate the smallest common multiple of x and s.
66
Calculate the common denominator of 4 - ((-4