. What is the least common multiple of g and p?
254
Let r be (-4)/18 + 6302/414. Suppose 0 = r*k - 29 - 1. Let v(s) = s**3 - 2*s**2 + 4*s - 3. Calculate the smallest common multiple of k and v(2).
10
Suppose -62*n = -11529 + 369. Let y = n + -120. What is the lowest common multiple of 20 and y?
60
Suppose 37*i + 5672 = 381. Let t = 1274/9 + i. What is the common denominator of -2/15 and t?
45
Let y be ((-1068)/34)/((-8)/1570). Let o = y - 6164. Find the common denominator of (-1)/8*(-18696)/(-190) and o.
170
Let q = -3188 - -3461. Calculate the least common multiple of q and 91.
273
Let u be ((-2433633)/28)/(-3) - (22 + -21). Let k = u + -28975. Find the common denominator of k and -31/4.
28
Calculate the lowest common multiple of 4900/14 - ((2 - 0) + -2) and 22.
3850
Let w(b) = b**3 + 4*b**2 + 9*b + 46. Calculate the smallest common multiple of w(12) and 12.
14748
Let h(z) = -z**3 + 10*z**2 - 16*z - 3. Let b be h(7). Suppose -15*q + b*q = 20*q. Calculate the smallest common multiple of (q - -2 - 5) + 12 and 7.
63
Let x = -583 + 577. Calculate the common denominator of 11/5 and (-3)/(33 + x) - 134/(-1584).
1320
Let q(w) = -w**3 - 4*w**2 + 4*w + 3. Let p be q(-5). Suppose 0 = -2*s + p, k = 4*k - 4*s + 4. Calculate the lowest common multiple of 308/(-33)*6/(-4) and k.
28
Suppose -3*r + 64 = -0*r - m, 4 = -m. What is the lowest common multiple of r and (29072/(-40))/(-23) + (-2)/(-5)?
160
Let f(x) = -x**2 - 6*x + 1. Let h(a) = -a**3 + 2*a**2 - 5*a + 337. Let o be h(0). Let d = o - 330. Calculate the smallest common multiple of d and f(-6).
7
What is the common denominator of 33/20 and 51/(-204) + ((-2)/(-3))/((-80532)/(-29187))?
44740
Let d = 2326/479 - 5293091/1086372. Find the common denominator of 113/3276 and d.
29484
Let t = 18907 + 4897. Calculate the least common multiple of 12 and t.
71412
Let c be 32/144 - (1 + (-34)/9). Suppose -3*l + 10*l = 525. Suppose 2*m = -4*v + 60, -11 - l = -5*v + c*m. Calculate the least common multiple of 6 and v.
48
Suppose 28*j = 18*j + 14730. Let i = j + -89850/61. Find the common denominator of i and -64/9.
549
Let o = -308 - -316. Let w = 44 - 26. What is the lowest common multiple of (w/(-10))/((o + -4)/(-60)) and 6?
54
Let w = 157723/12 - 13134. Calculate the common denominator of w and 131/72.
72
Let c be 119140/266 - (-4)/38. What is the common denominator of (2 - 904/c)*62 and 15/8?
56
Suppose -s - 18 = -5*v, -9 = 2*v + 20*s - 15*s. Suppose 0 = -v*b + 4 + 2. Calculate the lowest common multiple of 5 and b.
10
Let n(g) = -g**3 + g**2 + 8*g - 4. Let q be n(4). What is the lowest common multiple of -1*(q + (3 - -5)) and (-1)/(-1 + (-7)/(-8))?
24
Let p be 81/15*(-10)/(-2). What is the common denominator of p/(-14)*(4 + (-40)/15) and -125/6?
42
Suppose -b = 5*f + 18 + 36, 0 = -5*b - 20. Let m = 19711/30 - 3216/5. What is the common denominator of m and (-524)/18*f/40?
18
Let n = 214142857/3867 + -55377. Let a = -104381/54138 + n. Find the common denominator of a and 3 + ((-109)/22 - 2).
154
Let w = -18 - -9. Let v(j) = -97*j**2 - 21*j + 1. Let h be v(w). Let r = h + 107385/14. Calculate the common denominator of -3/88 and r.
616
Let x = 1105/47 - 165283/7332. What is the common denominator of x and 41/201?
10452
Let z(q) be the third derivative of q**4/24 - 11*q**3/6 + q**2. Let b be z(10). Find the common denominator of 91/4 and (b/(-20))/((-18)/645).
24
Let n be (1 - (-166419)/(-2))*(-338)/(-7885410). Let b = 2/101095 - n. Calculate the common denominator of b and 107/30.
30
Suppose 110 + 254 = 26*r. Suppose -r*a = 11 - 53. Let o = 42 - 25. What is the smallest common multiple of a and o?
51
Let t(w) = w**2 - 15*w + 49. Let s be t(6). Find the common denominator of s*(-4)/5 + (-100)/64 and -93/92.
368
Let g = 14 + 9. What is the smallest common multiple of g and 105/(-147) + 246/21?
253
Let b = -1435/4 - -363. Suppose -5*g + 0*g + 14230 = 0. Let d = -51247/18 + g. Find the common denominator of b and d.
36
Suppose -21 = -4*q + 5*h, -3*q + 14 = h + 3. Suppose -q*k - 2*m = 5794, -4 = -m - 1. Find the common denominator of -113/28 and 3/6 + k/120.
84
Let u be (-19)/(1463/(-14)) + 37979/(-462). Let s = u - -398/7. Calculate the common denominator of s and 17/24.
24
Suppose -y = -2*s - 2*y + 35, -4*y = 5*s - 95. What is the least common multiple of 234 and s?
1170
Suppose -2345 - 1203 = -4*u. Let v = u + -851. Calculate the least common multiple of v and 20.
180
Let h = 133 + -85. Let z = -391 + 471. What is the lowest common multiple of h and z?
240
Let c = 6543804 - 130926837/20. Suppose 18*w - 22*w = -10132. Let t = c + w. What is the common denominator of -61/16 and t?
80
Let t = 20086/7 + -2867. Suppose y - 124 = -y. What is the common denominator of t and y/4 + 0/1?
14
Suppose -216 = 2*g + 6*g. Calculate the common denominator of 73/36 and (24/g)/(-4) - 266/(-84).
36
Let d = -7/1541 - 140161/15410. Find the common denominator of (-19)/2*(-16)/(-41) - -3 and d.
410
Suppose -4*k = c + 18, c = -4*k + 9*k + 18. Calculate the common denominator of -64/27 and (-80 - -106)/(1 + k/2).
27
Let l = -197 + 323. Suppose s + 22 - 133 = -4*g, -3*s - l = -5*g. Suppose -3*q - 66 = -5*q. What is the lowest common multiple of g and q?
297
Let x(w) = 2*w**3 - 23*w**2 - 21*w + 555. Calculate the smallest common multiple of x(16) and 18.
15138
Let h = 12038 - 421293/35. Calculate the common denominator of -36/37 and h.
1295
Calculate the lowest common multiple of 138 and (-5593)/(-49) + -6*6/(-42).
690
Suppose 29042 = -2*g + 2*o, 2*g + 0*o + 3*o = -29047. Let a = 13723288/945 + g. Let p = -1369/1890 - a. Calculate the common denominator of 131/12 and p.
36
Let w = -499/396 - -141/44. Find the common denominator of w and 33/1550.
13950
Let j(i) = 49*i + 205. Let l be j(-6). Find the common denominator of (-1 - l/2)*495/7128 and 101/78.
624
What is the common denominator of 14/32 - (-72)/(-180) and (3/4)/(9/21)?
80
Suppose 3*y + 42 = 3*z, 2*z - y + 0 = 23. Suppose 1512*v = 1473*v + 4095. Calculate the smallest common multiple of v and z.
315
Let x be (-28)/70 - 244/10. Let f = x + 5833/235. Let i = 233/94 + f. What is the common denominator of i and -58/7?
14
Let r = 479/4 + -370/3. Calculate the common denominator of r and -35/838.
5028
Calculate the least common multiple of (88 - 1510)*(-3)/9 and 10.
2370
Let t be (-2985)/60 - 3/12. What is the lowest common multiple of 35 and ((-112)/70)/(4/t)?
140
Suppose 27*o - 10*o = -311 + 345. What is the lowest common multiple of 16 and o?
16
Let h = 1897017119 - 35901048993739/18925. Let g = 2/3785 + h. What is the common denominator of g and 47/75?
75
Let u = 193 - 352. Let j = 175 + u. Calculate the smallest common multiple of j and 180.
720
Let m = -609113/22 - -27682. Calculate the common denominator of m and 87/1358.
14938
Let j = 1421385457/1310 - 1085027. Find the common denominator of -81/2882 and j.
14410
Let o = 77 - 75. Suppose o*i + 6 = 0, -6*i + i = -g + 591. Find the common denominator of -65/6 and g/(-42) - 4/14.
6
Let g(h) = -h**2 - 7*h + 20. Let d be g(-12). Let p = -42 - d. What is the common denominator of 121/12 and p/16*2616/18?
12
Let c = 1815 + -1801. Calculate the smallest common multiple of c and (-10 + (-3)/3)*-1.
154
Suppose 0 = 142*s - 144*s + 6386. Calculate the least common multiple of s and 12.
38316
Let t = -474 + 1785. Suppose 0 = -10*x + t - 111. What is the lowest common multiple of 50 and x?
600
Suppose 0 = 34*v - 19708 - 26974. Calculate the common denominator of 2 - v/(-345) - (-174)/2001 and 9/(-24)*29/(-9).
120
Suppose -n = -5*l - 0*n - 265, 0 = 4*l - 5*n + 191. Let f = 102 + -111. What is the smallest common multiple of 42 and l/(-12)*(-6)/f?
42
Suppose -3*a = -3*n + 8*n - 62, -38 = -2*a - 5*n. Suppose 3*z = 25 - 1. Calculate the smallest common multiple of z and a.
24
Let f(w) = -53*w**3 - w**2 + 5*w + 7. Suppose 5*v + 5*t = -3 - 12, 0 = -2*v - 5*t - 12. What is the least common multiple of 42 and f(v)?
378
Suppose 3*w + 5*g = -0*w + 314, -2*g = -3*w + 286. Find the common denominator of (39 - 39) + w/32 and 47/10.
80
Let i = 35 - 33. Suppose -t = -4*n + 37, i*n - t - 41 = 4*t. Calculate the common denominator of -3/10 and (-3)/n*56/18*1.
30
Suppose 0 = 11*m + 1014 - 3093. Calculate the lowest common multiple of m and 270.
1890
Let z be 