2 + 1 - (-414)/99?
11
Suppose 0 = 5*j - 24 - 16. Let a(r) = -r**2 + 10*r - 92. Let n be a(0). Let i = -84 - n. What is the least common multiple of i and j?
8
Let y = 12035/7 + -1711. Suppose -3*w + 3*i = 114, 13*w - 11*w + 76 = 5*i. What is the common denominator of y and w?
7
Suppose 248 - 240 = -2*z. Let u(o) = o**3 + 2*o**2 + 2*o + 1. Let k be u(-3). Let f = z - k. Calculate the lowest common multiple of 8 and f.
40
Suppose 2*j = 7*j - 15. Suppose -71*z - 156 = -84*z. Calculate the lowest common multiple of j and z.
12
Suppose 76 = 28*t + 20. What is the lowest common multiple of 22 and t?
22
Suppose 0 = -0*i - i + 5*f - 17, 2*i - 26 = -5*f. Suppose -5*c = -0*c - i*j - 28, -2*j + 16 = c. Calculate the smallest common multiple of c and 3.
24
Calculate the common denominator of 3*2/27*73/14 and 23/9.
63
Let r = 2434 - 2401. Let q(u) = -u**3 + 27. Calculate the least common multiple of r and q(0).
297
Let l = -4982 + 1742. Let v = -12875/4 - l. Let f = 453/4 - 117. Calculate the common denominator of f and v.
4
Let k = 26 - 21. Suppose 2*y - 56 = f - 6*f, 5*y + k*f = 110. Suppose 0 = 4*i + 4, -i + 55 = a + y. Calculate the lowest common multiple of a and 5.
190
Suppose 4*u = -0*u - 3*i + 1, 20 = -4*i. Let w(a) = -a**2 + 11. Calculate the common denominator of w(u) and -35/2.
2
Suppose -m = -5*w - 7, -5*w - 11 = -5*m - 4*w. Suppose 0 = 70*g - 68*g + 2*c - 12, 4*c = g - 26. Calculate the smallest common multiple of g and m.
10
Let f = 15/38 + -320/209. Find the common denominator of -137/6 and f.
66
Let q = 13944 - 251113/18. Calculate the common denominator of q and (3/4)/(147/(-427)).
252
Let o(f) = f**2 + 4*f - 8. Let z be o(-5). Find the common denominator of 2*31/(-3) - z and 23/8.
24
Let q be (-4)/(-10) - (-412)/20. Calculate the common denominator of ((-12)/10)/(q/112) and 1/(-4) - 435/84.
35
Let n(g) = -g + 10. Suppose 133 = 96*b - 72*b - 11. Calculate the least common multiple of n(6) and b.
12
Let i = -18 + 26. Suppose 4*s = -3*n + 28, 0 = -4*n - 2*s + 4*s + i. What is the least common multiple of 18 and n?
36
Calculate the common denominator of 598/(-348) + (5 + -2 - 2) and 127/6.
174
Suppose 5*p + 205 = 640. Suppose 0 = -4*i + 3*n - 81, -2*n = 4*i + n + p. Let o = 23 + i. Calculate the least common multiple of o and 2.
2
Calculate the common denominator of (24/560)/3*-116 and -107/90.
630
Suppose -3*v - 21*v = -72. What is the lowest common multiple of 63 and v?
63
Let y(f) = -f**3 - 7*f**2 - 7*f. Let z be y(-6). Calculate the common denominator of -69/22 and (-8)/z*(-798)/209.
22
Let a(h) = h**2 - 9*h - 4. Let p be a(5). Calculate the common denominator of (-61)/(-44) - 6/p and 3/60*242 - 1.
110
Suppose -288 = -y + 4*h, 17*h + 284 = y + 15*h. What is the lowest common multiple of 240 and y?
1680
Let v be 1*(321/(-3) - -2). Find the common denominator of 10/9 and (-2 + 1)*(0 + (-235)/v).
63
Let x be 2178/12*2/3. Let t = x + -319/2. Find the common denominator of t and (-6)/(1 - (-34)/(-18)).
4
Let n = -2293/22 + 104. Let x be ((-12)/(-63))/((-26)/3). Let p = 127/1638 + x. What is the common denominator of p and n?
198
Suppose 0 = 3*b - 200 - 1315. Find the common denominator of b/154 - (-3)/(-21) and (-85)/(-16)*4/3.
132
Let h = -203/2 - -4405/42. Calculate the common denominator of h and 67/315.
315
What is the common denominator of 151/54 and 2786/(-132) - 2/33?
54
Suppose 4*n + 151 = 191. Calculate the smallest common multiple of 148 and n.
740
Let q = -2872 - -34513/12. Suppose 22 = -b - 32. What is the common denominator of q and 894/(-8)*(-12)/b?
12
Let r(p) = -p**3 + 7*p**2 - 2*p + 16. Let t be r(7). Suppose x + s = -4 - 3, 2*s - 30 = t*x. Find the common denominator of x and 94/15.
15
Let r = 120 - 78. Find the common denominator of (-3)/r*33 + -1 and 1040/52*(0 + (-9)/(-165)).
154
Let n = 19796 + -1088849/55. Calculate the common denominator of n and -54/55.
55
Suppose 70 = -67*j + 72*j. What is the least common multiple of j and 9?
126
Let h(k) = -k**2 - 8*k - 5. Let c be h(-5). Calculate the common denominator of (-45)/(-4)*(-22)/c and 23/((-276)/(-176))*(-18)/(-32).
4
Suppose 0 = l - 7*l + 18. Suppose -3*w - a - l*a = -67, -60 = -3*w + 3*a. Calculate the common denominator of 1/4*(-120)/w and -21/5.
35
Let v(i) = 6*i - 42. Let p be v(-8). Let t = -86 - p. Calculate the least common multiple of 6 and t.
12
Let c(o) = 27*o**3 + 3*o**2 + o. Let y be c(3). Suppose g + 377 = -w - w, 4*w = -3*g - y. Find the common denominator of (w/8)/3 - -2 and -145/6.
12
What is the common denominator of -6 + -92*35/(-616) and -1/2520?
27720
Suppose -30 = 2*i - 7*i. Let m = 194 - 199. Let k = 45 + m. What is the lowest common multiple of k and i?
120
Let r(w) = 2*w + 20. Let p(f) = -8*f**2 - f + 3. Let l be p(1). Calculate the lowest common multiple of r(l) and 12.
24
Let u = -23328/7 - -6764763/2030. Calculate the common denominator of u and -19/18.
2610
Suppose -2*l - 240 = -6*l. Suppose -t - l = -6*t. Suppose -3*s = 2*s - k - t, 2*k = -2*s. Calculate the least common multiple of 3 and s.
6
Suppose 5*k + 97 = 4*n, -5*k + 2*n - 94 = -n. What is the least common multiple of 50 and (1 + k)/(6/(-15))?
200
Find the common denominator of 56 + -49 - 302/64 and (-147)/40 - 34/(-255).
96
Suppose -u = -1 - 0. What is the common denominator of u/(10/(-103)) + -2 and 106*(2 + (-5)/2)/10?
10
Let x = -227 + 2493/11. Let o be ((-3553)/(-22))/((-762)/34). Let g = -5/127 - o. What is the common denominator of g and x?
66
Let p = -21138142263603730/6897 - -3064831443323. Let w = p + -553786/19. Let j = -10/121 + w. Find the common denominator of -32/9 and j.
9
Suppose -3*b = -5*b + 6. Suppose 19 = b*z - d, -d - 3 = 4*z - 26. What is the least common multiple of z and 21?
42
Let m(r) = -29*r - 53. What is the lowest common multiple of m(-2) and 4?
20
Let c = -1099/6 + 1661/9. Find the common denominator of 179/90 and c.
90
Suppose 5*x + 4*c - 16 = 0, -c + 11 = 4*x - 4. Let q(i) = -i**2 - 3*i + 2. Suppose 2 + 4 = -2*g. What is the smallest common multiple of x and q(g)?
4
Calculate the common denominator of 75/18 + 176/(-110) and 161/300.
300
Let i(a) = 2*a**2 - 2 + 3*a**2 + 3*a**2 + a - 5*a**2. Let c be i(-2). Let x(s) = s**3 - 8*s**2 + 6*s - 8. What is the least common multiple of 10 and x(c)?
40
Suppose 12*q - 18*q = -48. Let h = -133 + 147. What is the least common multiple of h and q?
56
What is the common denominator of ((-738)/(-225) + -5)*(-2)/(-4) and -113/70?
350
Let p = -2/6357 + 298807/88998. What is the common denominator of -107/12 and p?
84
Let z be -25 + 5/10*(0 + -2). Calculate the common denominator of (-2 - (-84)/39) + (-102)/z and 6/5.
65
Let h be 4 + 0/1 - -1. Suppose h*w + 44 = 2*w + 4*d, -4*d + 20 = 0. What is the common denominator of (-664)/w*(-2)/16 and -125/12?
24
Calculate the least common multiple of 69/36*3 + 6/24 and 6.
6
What is the smallest common multiple of 56 and (36 + -20)*(15 + -1)?
224
What is the common denominator of -12 - -1007*1/72 and -97/198?
792
Let h = 22997/6 - 3811. Let s(g) = 27*g**2 - 2*g - 5. Let k be s(2). Calculate the common denominator of (-2)/(-2 + 168/k) and h.
30
Find the common denominator of (36/21)/3 + 594054/(-1021440) and 109/10.
1280
Let z be (-1)/(-3) + (-1051)/(-2) + -3. Let h = 521 - z. What is the common denominator of -11/114 and h?
114
Let u(m) = -8*m - 12. Let h be 1/((-1)/9) + 4. Let g be u(h). Suppose 5*r - 72 = g. What is the least common multiple of r and 4?
20
Suppose 5*h - 21 = 2*h + r, -23 = -h - 5*r. Let u(l) = 19*l**3 + 2*l**2 - l. Let d be u(1). Let z = d - 16. What is the smallest common multiple of z and h?
8
Suppose 0 = -5*h + 48 + 162. Calculate the common denominator of (-142)/10*(-15)/54 and (h/77)/(8/34).
198
Let x(z) = 6*z**3 - 3*z**2 + 2*z. Let j be x(1). Suppose -15 = 3*k, -44 = -3*p + j*k - k. Calculate the lowest common multiple of 16 and p.
16
Let z = 49 - 43. What is the common denominator of -95/52 and (-127)/(-48) - z/(-36)?
208
Let l(i) = -19*i - 36. Let z be l(-4). Suppose -10*m + 6*m + z = 0. What is the least common multiple of m and 38?
190
Let s = -705 - -1801. Calculate the lowest common multiple of 8 and s.
1096
Let v = 2/29569 + -2986829/5322420. What is the common denominator of 67/54 and v?
540
Let d be (1 - (-146)/154) + -2. Let t = -5/1393913 +