What is the smallest common multiple of 8 and n?
24
Suppose -4840 = -k - 19*k. Let v = k + -240. Calculate the smallest common multiple of v and 18.
18
Let d = -196 + 7. Let g = 210 + d. What is the lowest common multiple of g and 54?
378
Suppose -4*f - f + c - 26 = 0, f + 4*c + 1 = 0. What is the common denominator of (-3 - -4) + (-7)/(-10) and (0 - 1)/1*f/20?
20
Let x(p) = 4*p**2 + 11*p + 1. Let v(a) = 3*a**2 + 10*a. Let q(w) = 5*v(w) - 4*x(w). Let n be q(4). Find the common denominator of (n/6)/(4 + -16) and -43/16.
144
Let g = 399 + 160. Let y = 607 - g. What is the lowest common multiple of y and 48?
48
Suppose -11456 = -4*n + 6304. Suppose 32*l + 5*l - n = 0. Calculate the lowest common multiple of l and 24.
120
Suppose 11*i + 5328 = 13*i + 22*i. Calculate the lowest common multiple of 370 and i.
1110
What is the smallest common multiple of (-70 + 78)/(8/6) and 243?
486
Let u(t) = -2 - 2*t**2 + 4*t - 581*t**3 + 0*t**2 + 585*t**3. Let p = -3 - -4. Calculate the least common multiple of u(p) and 10.
20
Suppose 596*m + 594*m - 1182*m = 264. Let p(n) = -n**3 + 14*n**2 + 5*n + 2. Calculate the least common multiple of m and p(14).
792
Let a be (-35)/105 + 10412/(-21). Let z = 500 + a. Find the common denominator of z and -50/9.
63
Suppose -1872 = 5320*i - 5372*i. Calculate the smallest common multiple of i and 6.
36
Let f be 2/(-5) - (-3)/((-150)/(-20)). Suppose r - 2 = f, 0*c + 16 = c - 4*r. What is the lowest common multiple of c and 54?
216
Suppose 3*t = -4*u + 69, -400*u - 4*t + 50 = -397*u. Calculate the lowest common multiple of u and 90.
90
Suppose -5*q = -6*q + 31. Suppose 5*t - 2 + 3 = -4*u, u - q = 5*t. Calculate the common denominator of 87/28 and -1 - (1084/(-96) - u/(-9)).
56
Suppose 4*i + 3*c - 189 - 101 = 0, 4*c - 150 = -2*i. Calculate the smallest common multiple of i and 1.
71
Let j = 46 - 3. Let x = j - 38. Suppose -x = -3*m - 2*m. What is the lowest common multiple of 2 and m?
2
Suppose -2*h = -20*h + 270. Suppose 0 = k - 5*n - 11, k - n = -0*n + h. Calculate the smallest common multiple of 4 and k.
16
Let c = -3426 - -4504. Calculate the lowest common multiple of c and 98.
1078
Let w be 133/38 + (-1)/2. Suppose 12 = -w*t + 9*t. Suppose -t*b + 30 = -2*r, 2*b = r + 4*r + 42. What is the smallest common multiple of b and 9?
99
Let d = -36180 + 38495503/1064. Calculate the common denominator of d and -83/168.
3192
Suppose -2*s + 663 = 175. Suppose 4*o - s = -5*t, -o - 13 - 226 = -5*t. What is the lowest common multiple of t and 5?
240
Let x = 7/5121 - -253667/5489712. Calculate the common denominator of x and 29/16.
1072
Let n(k) = 3*k**2 + 17*k - 4. Let j be n(-6). Suppose -4*c + 16 + 16 = 0. What is the smallest common multiple of c and 3 + 12/j + 3?
24
Suppose -10 = 20*b - 10*b. Let o be (-4134)/63*b/(7908/(-1185)). Let r = o - 2/4613. Calculate the common denominator of 85/6 and r.
6
Let a = 23 + 10. Suppose -7*m = -18*m + a. Calculate the smallest common multiple of m and (-5)/20*2*-2*9.
9
Let r = -6127 - -6754. Calculate the least common multiple of r and 3591.
39501
Let a(p) = -3*p**3 - 3*p - 2. Suppose -r - 2*r = 15, 2*r + 238 = 3*z. Suppose -7*g + 8 = -z. What is the least common multiple of g and a(-1)?
12
Let d be (-32)/(-12) - 16/24. What is the common denominator of 3 - 6/(-64)*46*d and -59/14?
56
Suppose 5*n = 2*n + 2616. Let z = n - 864. What is the least common multiple of 1680 and z?
1680
What is the common denominator of (-11594)/19040 - (84/(-16))/7 and 115/28?
560
Let j = 109 - 102. Let q be (j + -4 + 2)*5/(-5). What is the common denominator of 35/6 and 9 + q - 404/32?
24
Suppose -4*s + 21 = 13. Suppose s*i = -1 + 13. Suppose i = -f + 3*f. Calculate the smallest common multiple of 10 and f.
30
Let f be 2 + 20/(-1 + -1). Let t(q) = 4*q**3 - 67*q**2 + 215*q - 4. Let j be t(3). Calculate the smallest common multiple of f/(j/37 + -4) and 18.
1332
Calculate the common denominator of (-58240)/9828 - (-2)/(-27) and 23/2246.
2246
Let l = 18 - 12. Let w = 397 - 393. Suppose -w*f - 6 + 13 = -3*k, -2*f = -k - 3. What is the smallest common multiple of f and l?
6
Suppose -60 = -3*n - g - 2, -n + 38 = 5*g. Suppose -3*z + 33 = n. What is the common denominator of 43/22 and (50/(-32))/z - -1?
176
Let z = 2593 - 1885. Calculate the lowest common multiple of z and 10.
3540
What is the common denominator of 5 + ((-49)/560)/(182/9905) and -12/11?
4576
Let j(a) be the third derivative of -1/6*a**4 + 0 + 3*a**2 + a - 35/6*a**3. Calculate the lowest common multiple of 16 and j(-10).
80
Let l(y) = y**3 + 11*y**2 + 9*y - 15. Let t be l(-10). Let i be 5 + 0/((-2 - t) + -1). What is the least common multiple of 36 and ((-7)/i - -2)*(-120)/(-8)?
36
Let f = -49 + 50. Let n be (663 - (3 + 0)) + f. Let y = n - 4013/6. Find the common denominator of y and -1/22.
66
Suppose -25*f = 23*f - 96. Suppose -2*l - 127 = -181. What is the lowest common multiple of f and l?
54
Suppose -9*k + 3992 + 33718 = 0. What is the common denominator of k/(-3432) - (-8)/104 and 19/33?
132
Suppose -19*m + 15*m + 48 = 0. Suppose 11*f = -m*f + 9338. Calculate the smallest common multiple of 10 and f.
2030
Let i = 32/2345 + 2449/20435. What is the common denominator of -3/1220 and i?
8540
Let m be (-502)/753 + -31*(-112)/6. Let u = m + -563. Calculate the least common multiple of u and 132.
660
Let f be 1 + (-165)/(-57) + (-8)/(-76). Suppose 6*n + a - 102 = 3*n, 138 = f*n + 2*a. What is the lowest common multiple of n and 345?
3795
Let p = 7/229 + -1313/5496. Find the common denominator of p and 105/352.
1056
Suppose -11*u - 1600 = 9*u. Find the common denominator of 0 - 2 - u/(-264)*-1 and -23/55.
165
Suppose 4*y - 16870 = -2778. Let s = -5072758777/1438890 + 3/95926. Let a = y + s. Calculate the common denominator of a and -61/30.
30
Let f = 652 - 734. Find the common denominator of (f/(-6) - 5)*(-1)/61 and 34/21.
1281
Suppose 42 = 2*h - 6. Let g = 424 - 423. Calculate the smallest common multiple of g and h.
24
Let y = -1 - 2. Let s = 509 - 302. What is the common denominator of 121/6 and 46/s + (-19)/y?
18
Suppose -4*j + 85 = -0*j + f, 0 = j - 5*f + 5. Let z = -2/19 - -13/304. What is the common denominator of z and 146/56*(j - 19)?
112
Let k be ((-6)/(-9))/((-3)/(-45)). What is the lowest common multiple of (-18)/k*(-250)/25 and 6?
18
Calculate the common denominator of -31/380 and (-135)/84*(488/3050)/(4/(-90)).
2660
Suppose 5*m + 4*i - 19 = 0, 3*i - 6*i + 15 = 4*m. Suppose -m*v = 8*b - 4*b - 52, 20 = 3*v - 4*b. What is the least common multiple of 10 and v?
60
Let u be 187/(-102) - 1/6. Find the common denominator of (-2536)/320 + (-12)/u and -48/95.
760
Suppose -3*m = 5*p + 3, 3*p - 7 = 98*m - 102*m. Suppose 0 = -3*x + 14 + m. Calculate the smallest common multiple of 2 and x.
6
Calculate the common denominator of 6/(-20) + 966/13440 and 179/60.
960
Suppose -24 = o - 5*o. Let p(d) = -37*d**2 + 147*d + 10. Calculate the least common multiple of p(4) and o.
6
Let u = 401141/81474 - 551/111. Calculate the common denominator of 77/2 and u.
2202
Let r = 16231 + -16192. What is the smallest common multiple of 1791 and r?
23283
Let i = 92693/86422 - 7/6173. Suppose 0*t = 4*k - 5*t - 8, -k = 3*t - 2. Find the common denominator of i and -2 - -119*k/40.
140
Suppose 75 = -43*q + 45*q + f, -3*f = -4*q + 175. Suppose o = 2*j - 16 - 52, j + 2*o = 39. What is the lowest common multiple of j and q?
280
Let m be ((-5)/((-15)/48))/((-11)/(-220)). Suppose 321*j - 30 = m*j. What is the smallest common multiple of 1 and j?
30
Let o be (14/6)/((-21)/(-63)). Let u be 11 - (o - 2)*1. Suppose u*i = -2*i + 16. What is the lowest common multiple of 7 and i?
14
Let m be 1*10*(-1)/(-1). Suppose 13 = p + m. Suppose v + 32 = p*v. Calculate the lowest common multiple of v and 4.
16
What is the common denominator of 37/297 and ((-10)/225)/(((-3)/(-250))/((-48)/40))?
297
Let k = 379705/171486 + 1/12249. What is the common denominator of k and (-2)/52 - (-8)/32?
364
Let w = 3/2549 + 27799/203920. Find the common denominator of -73/1564 and w.
31280
Let u(t) be the second derivative of 19*t**3/3 - 11*t**2/2 - 168*t. What is the common denominator of u(-1) and 1?
1
Suppose -2*y + 64 = -m + 3*m, y = m + 34. Suppose -5*z - 10 = 0, 92 = 3*l - 34*z + y*z. What is the least common multipl