+ 15 - 33 + 3*v**2. What is the least common multiple of 38 and f(6)?
380
Find the common denominator of -3/16 and (9*(-12)/(-72))/(23 + 1).
16
Find the common denominator of (2/48*3)/((-912)/320) and -67/36.
684
Suppose -20*g = -22*g + 10. Calculate the common denominator of 46/9 and (177/(-15))/((-3)/g).
9
Let x be (1 - (-6 - 4)) + 0. Let h(k) = k**2 - 10*k - 10. Calculate the least common multiple of 9 and h(x).
9
Let a = -460767 - -218403455/474. Find the common denominator of a and -27/20.
4740
What is the common denominator of 54/14*(26 - 27) and 49/137?
959
Let f be (-39)/(-9) - (-1)/(-3). Let u(m) = 3*m - 2. Suppose 9*z - 176 - 22 = 0. What is the smallest common multiple of u(f) and z?
110
Suppose 3*s - 20 = -5*f, -10*f - 20 = -6*f. Let m(l) = -3*l - 6. Calculate the least common multiple of m(-6) and s.
60
Suppose -276 = 4*q - 724. Calculate the lowest common multiple of q and 63.
1008
Let v be 5/((-75)/(-4878)) + -3. Let d = v + -647/2. Calculate the common denominator of 123/20 and d.
20
Let h = -6 + -8. What is the least common multiple of (-63)/h*(-4)/(-3) and 8?
24
Let g(q) = q**2 - 6*q + 2. Let s be g(6). Suppose 2*x - s = 8. What is the smallest common multiple of 12 and x?
60
Let h = -28 + 48. Let n(k) = -k**3 + 5*k**2 + k - 8. Let r(y) = y**3 + y + 4. Let a be r(0). What is the smallest common multiple of n(a) and h?
60
Let p be ((-4)/(-3976))/((-6)/(-6225)). Let y = 182/71 + p. Calculate the common denominator of y and 9/4.
28
Let f(s) = -s**2 - 6*s - 3. Suppose 4*b = 4 - 28. Calculate the smallest common multiple of f(-2) and (-3)/(9/b) - -8.
10
Let l = -756779015/88 - -8599872. Let m be ((-11)/2)/((-4)/77). Let c = l - m. What is the common denominator of c and -37/8?
88
Suppose -p = -3*p + 4*g - 36, 2*p - g = -39. Let z = -30963/57484 - -6/2053. What is the common denominator of (83/(-15))/(p/15) and z?
140
Suppose 15*w = 6*w. Suppose -3*o = -o - 3*u - 24, 0 = 4*o + u - 20. Suppose -o*t + 11*t - 15 = w. Calculate the smallest common multiple of t and 2.
6
Let f(b) = b**2 - 14*b - 3. Let p be f(11). Let u = -30 - p. Calculate the least common multiple of 2 and u.
6
Let j(x) be the first derivative of 3*x**4/2 - 2*x**3/3 + 3*x**2/2 - 2*x + 32. Calculate the least common multiple of 10 and j(1).
10
Let v = 7 + -4. What is the smallest common multiple of (2 + -2 + 3)*4/3 and 2/v - 116/(-6)?
20
Let x = 867 - 7756/9. Let h = 131 + -1059/8. Calculate the common denominator of x and h.
72
Let f(p) = p**3 + 12*p**2 + 8*p - 8. Let t be f(-11). Suppose -j - t = -6*j. What is the lowest common multiple of 9 and j?
45
Let p = -5575/4 - -1379. Suppose 11*s = 3*s + 40. Find the common denominator of (-96)/(-33)*(-6 + s) and p.
44
Let t = -8031 - -240961/30. What is the common denominator of t and -31/50?
150
Find the common denominator of 8/21 and 525/1296 - (-1 + 35/21).
3024
Suppose 2*j + 5 = -1. Calculate the lowest common multiple of j - (-2 - -2) - (-25 + 4) and 76.
684
Calculate the lowest common multiple of (-138)/(-15) + (-4)/20 and 1 + (3/(-3) - -4).
36
Suppose 53*i + 144 = 57*i. What is the lowest common multiple of 9 and i?
36
Let v(s) = -25*s - 219. Let d = -54 - -78. Let b = -14 + d. What is the least common multiple of b and v(-9)?
30
Let z = 75653/23 + -3288. Find the common denominator of 79/4 and z.
92
Let u(r) = -5*r**2 + 17*r - 6. Let y(j) = 4*j**2 - 16*j + 7. Let z(w) = -3*u(w) - 4*y(w). What is the common denominator of 115/14 and z(9)?
14
Let b = -204 + 206. What is the smallest common multiple of b and 50?
50
Find the common denominator of (-2)/(-12)*(-6480)/384 and -39/202.
1616
Let v be 2568968/274 - 8/(-2). Let k = v + -2303235307/245641. Let p = -45/163 + k. Find the common denominator of p and -11/8.
88
Calculate the common denominator of (72836/12096 - 5) + 12/(-14) and -55/6.
432
What is the common denominator of 43/2 and (-118)/98 + (-9 - -11)?
98
Let a = -2893/288 - -92/9. Find the common denominator of -5/24 and a.
96
Let i(n) = n**3 + 12*n**2 + 17*n + 9. Let s be i(-10). Suppose 3*c = -4*y - 4 + 56, 4*c + s = 3*y. Calculate the smallest common multiple of y and 8.
104
Suppose -5*t = -21*t + 80. Calculate the least common multiple of t and 5.
5
Let t = -59 - -69. Calculate the least common multiple of t and 9.
90
Let k be 4/11*515/(-20). Let i = k - -10. Let s = 6/437 + 5651/2185. What is the common denominator of s and i?
55
Let x = -45/212 + 6113/2332. What is the common denominator of x and ((-23)/(-42))/((-27)/(-81)) - 7?
154
What is the common denominator of 19/116 and (-31)/992*(-94)/(-1)?
464
Let p(x) = 3*x**2 + 8*x - 21. Calculate the least common multiple of p(-5) and 2.
14
Let v = 0 + 2. Let d(f) = -f**2 - 22*f + 31. What is the lowest common multiple of v and d(-23)?
8
Let k be (-3 - 9423/(-4))/9. Let h = k - 266. Calculate the common denominator of 62/(-32) + (5 - (5 + -3)) and h.
48
Suppose 2*q + 2*k - 4 = 4*q, -20 = -4*k. Suppose q = n - 0. What is the least common multiple of 1*(45/(-18) + 1)*-6 and n?
9
What is the common denominator of -31/20 and 2/((-128)/(-52))*9/18?
160
Calculate the lowest common multiple of (1/2)/(13/182) and 5.
35
Let l = -2271/41 + 122789/2296. Calculate the common denominator of -8 + (-52)/32*6 and l.
56
Calculate the common denominator of (-3)/(2/(-2)) + 99/(-78) and 16/(-18)*(-21)/(0 + 1).
78
Suppose -3*u = -7*u + 36. What is the smallest common multiple of u and (-21)/(-49) + 16/28?
9
Let c = 507 - 498. Calculate the lowest common multiple of 9 and c.
9
Let s(y) = -y**3 + 20*y**2 - y + 28. Let g be s(20). Suppose 4*o = 4*r - g, -10 = -2*r + r - o. What is the least common multiple of 16 and r?
48
Let q = 400541/156 + -10269/4. Find the common denominator of q and -17/260.
780
Let k = 1631/4 + -795/2. Find the common denominator of 85/18 and k.
36
Let c = -10 - -8. Calculate the common denominator of (-16)/6*30/(-55) and c + 0 + (-2)/(-7).
77
Suppose -5*n - 9 = -14. What is the least common multiple of n and 232?
232
Suppose -11*o + 998 = 4584. Find the common denominator of -34/31 and (-6)/(-18) + o/42.
217
Suppose -7*p + 28 = -0*p. What is the common denominator of (p - 1) + (-1 - 228/16) and 5/6?
12
Suppose 50 = -c - 4*r, -4*c + 3*c - 5*r = 55. Let p(k) = 2*k**2 + 10*k - 22. Let s be p(4). Let u = c + s. Calculate the smallest common multiple of u and 34.
340
Let g be (-3)/(-5)*(-2 - -7). Suppose g*f = -2*f + 15. Suppose v - 11 + f = 0. What is the smallest common multiple of 6 and v?
24
Suppose 0 = 4*b + 3*f - 115, f + 50 = 3*b - 20. Let q = b + -39. Calculate the common denominator of -2 + (-39)/12*q and 109/22.
22
Suppose -b = 5*u + 16 - 2, 38 = 5*b - 2*u. What is the smallest common multiple of 3 and 1 + b*(-5)/(-15)?
3
Let j = -2 + 12. Suppose -14*h + 4 = -j*h. Find the common denominator of -2 - 196/(-16)*h and 95/36.
36
What is the common denominator of 97/48 and (-12)/(-2) + (-1760)/144?
144
Let u be 7/(1 - 0 - 0). Suppose -3*i = -i - 5*m - 14, -m = -i + u. Calculate the common denominator of (1 + 6/12)/((-24)/(-356)) and i.
4
Suppose 16*v - 42 = 230. Suppose 4*s = 15 + v. Calculate the lowest common multiple of s and 16.
16
Let z be 4/(-1) - (-13 - -3). Suppose -3*r + 45 = z*r. What is the lowest common multiple of 7 and r?
35
Let o = 115 + 36. Let y = o + -149. Calculate the lowest common multiple of y and 32.
32
Suppose 0 = -3*d + 5*t, t = -d + 4*t. Suppose d = -4*k - 0 + 72. Calculate the least common multiple of 10 and k.
90
Suppose -153 = -4*c + 367. Find the common denominator of 17/12 and c/(-336) + 11/(-66).
168
Suppose 23*y - 228 = 17*y. Let m = y - 16. What is the lowest common multiple of 80 and m?
880
Suppose -5*o - 4*y - 1 + 3 = 0, 3*o + 2*y = 2. Suppose 2*d + o*d = 144. Calculate the lowest common multiple of d and 12.
36
Let x = 9789 + -117355/12. What is the common denominator of -34/5 and x?
60
Let m be 8 + -1 - 16/8 - 3. Let s(o) = 7*o**3 - o**2 - 4*o + 4. What is the smallest common multiple of s(m) and 20?
240
Let v = 1290 + -10227/8. Suppose 10*t - 136 = 174. Suppose -3*u - 5*x - t - 36 = 0, -5 = x. Calculate the common denominator of v and u.
8
Let o be (1/(-45))/(36/10700061). Let t = o - -214540/27. Let f = t + -1335. Find the common denominator of f and 19/12.
60
Suppose -s - s = 168. Let f be (334/8)/(9/s). Let p = 36