p + 4*x = -18. Let i(k) = 4*k - 8. Calculate the smallest common multiple of i(p) and c.
16
What is the lowest common multiple of (10 - (-255)/15) + -9 + 0 and 1722?
5166
Suppose 77 = -4*j + 89. Suppose v - 6*v + 25 = 0, -j*x + 201 = -3*v. Let k = 15 - 7. What is the least common multiple of x and k?
72
Let f = 176863/153 + -1156. What is the common denominator of f and 53/187?
1683
Let q be (411/(-2))/((-7)/(-14)). What is the common denominator of (-7 + 28/21 - -6)/((-27)/(-39)) and ((-2)/(-9))/(4/q)?
54
Let m(r) = -r**2 + 2*r + 4. Let g be m(3). Let u = 304 + -814. Find the common denominator of g*3 + 3349/u and 143/18.
90
Suppose 4*z - 27 + 11 = 0. Suppose -z*f + 987 = -3*f. Let q = f - 2039/2. What is the common denominator of q and 56/11?
22
Let z = -47287/6 + 7863. Calculate the common denominator of 37/1917 and z.
3834
Let b = 12 - 30. Let h be (-147)/b + (-1)/6. Suppose -3*g = 2*c + 5, -2*c = 3*g + g + h. Calculate the least common multiple of c and 4.
4
Find the common denominator of -9/40 and 25 + -27 + (-13)/(-7) - (-2174)/11200.
800
Let i = 36 + -60. Find the common denominator of (-2)/(-10)*(-13 - (-91)/(-2)) and (-71)/i - 2/(-1).
120
Suppose -18529 - 11431 = -107*x. Calculate the least common multiple of x and 70.
280
Let m be -720*(1/6 - (-248)/240). What is the common denominator of 201/40*18/m and -71/8?
640
Suppose 3*q - 3 = 0, -4*q = p + 26 - 263. Suppose 0 = -p*b + 230*b + 171. Calculate the least common multiple of 24 and b.
456
Find the common denominator of 79/1174 and 4 - 26/(-6)*130/104.
7044
Let m = -3389/57 - 99/19. Let d = 50 + m. Find the common denominator of 57/7 and d.
21
Let s be 154864/40 - 4/(-10) - 6. Let t = s + -92705/24. What is the common denominator of 79/8 and t?
24
Suppose h + 2*o = -6612, -2*h + 3*h - 2*o + 6600 = 0. Let g = -52775/8 - h. Find the common denominator of g and -81/208.
208
Let y = 7075 + -2929. Calculate the lowest common multiple of 8 and y.
16584
Let u(v) = -v + 1. Let b be u(1). Suppose 2*i + b = 2. Find the common denominator of 53/11 and (i/(12/9))/((-33)/48).
11
Let p = 75 + -54. Suppose 12*i + 540 = p*i. Calculate the least common multiple of i and 60.
60
Let q(c) = 2*c + 24. Let r(n) = -4*n - 47. Let z(x) = -7*q(x) - 4*r(x). What is the smallest common multiple of 236 and z(0)?
1180
Suppose 38*b + 18*b = 3606 + 986. What is the lowest common multiple of 16 and b?
656
Let k = -5667 + 6081. What is the lowest common multiple of 162 and k?
3726
Suppose 353 = 5*j + t - 2*t, 3*t - 61 = -j. Suppose 0 = -3*n - 15, 5*m + j + 25 = -2*n. Let d = 21 + m. What is the smallest common multiple of d and 6?
12
Suppose -6*x = -5*x + 8. Calculate the common denominator of (-20)/14*30/125*-15 and ((-6)/x)/((-162)/3420).
42
Let r(v) = v**3 + 4. Let j be r(0). Suppose 3*l - j*f - 32 = 0, -3*l + 2*f + 11 = -11. What is the common denominator of 335/(-60)*-2 + l and -11/38?
114
Suppose -1 = 3*t - 10. Let u(l) = 10*l**2 - 241*l + 263. Calculate the lowest common multiple of u(23) and (-3)/(t*-1) + 5.
30
Let z(h) = -60*h + 540. Let n(s) = s**2 + s. What is the lowest common multiple of z(8) and n(-3)?
60
Let t be (2 - (1 - 1))*(21 - -1). Let m = 48 - t. Suppose m*h + 220 = 15*h. Calculate the smallest common multiple of 20 and h.
20
Suppose -2*a + 21 = 3. Let j(o) = o**3 + 5*o**2 + 2*o - 8. Let s be j(-4). Suppose 61*y - 63*y + 16 = s. Calculate the least common multiple of a and y.
72
Let y be (85 + -74)*(-5)/1. What is the common denominator of (9/24)/(15/y) and -73/436?
872
Suppose 0 = 2*g + 29 - 57. Let r(z) = -z**3 + 13*z**2 + 17*z - 26. What is the smallest common multiple of r(g) and 44?
176
Let p = -1991/13 + 10137/65. Find the common denominator of -44/175 and p.
175
Suppose -375*w + 3802080 = -3349545. Calculate the lowest common multiple of 2 and w.
38142
Calculate the common denominator of (52/42)/(8 - 1050/147) and -65/222.
666
Let o = 955198 + -951377105/996. Find the common denominator of -17/1826 and o.
10956
Let g(k) = -979*k - 62. Let v be g(22). Find the common denominator of -65/12 and ((-9312)/v)/(4/10).
180
Let q be 86*(48/426)/8. Let b = 3316/1917 - q. What is the common denominator of b and 7/57?
513
What is the common denominator of 164/72 - 115/138 and -16/153?
153
Suppose 34*v + 9*v = 172. What is the smallest common multiple of (2/v)/(84/616)*21 and 42?
462
Let n(w) = -2*w + 25. Let x be n(-19). Let c = 213791/27 - 7917. Calculate the common denominator of c and 27/x - ((-12135)/126)/(-5).
54
Let o = 3152 - 126073/40. What is the common denominator of o and ((-18)/(-8))/(110/8)?
440
Let u be ((-1 + -2)*(-36056)/12)/((-139)/556). Let q = 359468291043/118 + -3046377505. Let m = u - q. Calculate the common denominator of m and 53/7.
826
Suppose -2*z - 16 = -14. Let h be (z/(-3) - (-30)/(-9))*-210. Find the common denominator of 19/12 and ((-1)/3)/(460/h).
276
Calculate the lowest common multiple of 2106 and (92 - 1)*(6094/154 - 1).
10530
Calculate the common denominator of (0 - 1048/(-12))/12 and 3 - 38*(-15)/(-1080).
36
Suppose 3680*x - 3069 = 3649*x. What is the least common multiple of x and 2464?
22176
Let i(w) = 55*w**2 + 2*w - 1. Let u be i(1). Let y(v) = 16*v + 81. Let d be y(-3). Suppose -d*a + 26*a = -u. Calculate the lowest common multiple of a and 18.
72
Suppose 0 = -g + 29 + 3. Suppose -8 = -4*z + 4*u, -5*z = 2*u + 3*u. What is the least common multiple of (2 - 1) + 14 - (-2 + z) and g?
32
Let h(b) = 2*b**2 + 122*b - 1451. Calculate the lowest common multiple of h(-72) and 494.
3458
Suppose 247*u - 21428 = 232 - 2394. Let h = 6 - 0. What is the lowest common multiple of h and u?
78
Let i(p) = -p**2 + 23*p + 41. Let x be i(24). Let d(c) = -c**2 + 30*c - 211. Calculate the lowest common multiple of 63 and d(x).
630
Suppose -8*u - 1680 = -11*u. Calculate the smallest common multiple of 700 and u.
2800
Suppose 0*z - 6128 = -2*z + 2*j, -4*z - 2*j + 12250 = 0. Suppose -7*s - 1949 = z. Find the common denominator of -27/5 and s/120 + 8/12.
10
Let m be (-696)/8*(-69)/6. Let o = -18963/19 + m. What is the common denominator of o and 49/4?
76
Suppose -5*x + 11 = 1, -o - 3*x = -10. Let b(u) = 13*u + 107. What is the smallest common multiple of o and b(-3)?
68
Let f = 44009 - 879409/20. Let q = f + -13163/360. What is the common denominator of 64/3 and q?
72
Suppose -15*v + 12*v = -3*x + 3, 3*v + 8 = 8*x. What is the lowest common multiple of x and 1?
1
Let m = 4877 - 29219/6. What is the common denominator of m and (-334)/(-192) - 2/8?
96
Let l = -3349 + 3426. Calculate the least common multiple of 126 and l.
1386
Let c be (20/18)/((-6)/(-36))*6. Suppose 4*s - 6*s = 0, s + c = 2*q. What is the common denominator of (-38)/((-232)/q + 2) and 83/28?
168
Let g = -1499 - 1562. Let q be -6 + (4 - (-24537)/8). Let h = g + q. Calculate the common denominator of h and -1/4.
8
Let g = 10245/409981 - 18/611. Find the common denominator of -31/549 and g.
6039
Suppose 1652 = 48*m - 14091 - 7585. Calculate the least common multiple of m and 72.
1944
Let v = -9935/4 - -486947/196. Calculate the common denominator of 37/280 and v.
1960
Suppose 5*z - 681 = -3*u, 3*u + 3*z = 481 + 218. Calculate the lowest common multiple of u and 6578.
72358
Let f = 9426 + -9379. Suppose 0 = -4*m - 4*w - 0*w - 68, -81 = 5*m + w. Let u = m + f. Calculate the smallest common multiple of u and 4.
124
Find the common denominator of (5 - 6020/1188)*351/(-288) and 75/88.
792
Calculate the common denominator of (-2 - 706/(-352))/(((-36)/(-927))/4) and -97/4224.
4224
Let a = -8576/11 + 76403/99. Calculate the common denominator of a and 36/1481.
13329
Let r = 137 - 133. Suppose m - 30 = -r*m. Find the common denominator of 28/45 and -47*((-10)/495)/((-4)/m).
495
Let w = 3412702599/2831 - 1205476. Find the common denominator of -62/745 and w.
14155
Let i(b) = b**2 + 8*b + 31. Let k be i(-7). Find the common denominator of (-2 + 52/k)*152/(-6) and -32/39.
117
Find the common denominator of -45/22 and 74711/(-104)*2/1425 + (16 - 15).
62700
Let c = 5990342/9 - 666526. Let z = c - -931. Calculate the common denominator of z and -54/19.
171
Suppose -358 = 4*x - l, 25*x - 22*x - 5*l + 260 = 0. What is the common denominator of (-280)/x*(13/(-16) - -1) and (-1)/4 - 62/16?
24
Let t = 16 + -22. Let a = t - -8. Suppose 4*g