- 30. Let q = 23 + t. Let n = -138 - -145. What is the smallest common multiple of q and n?
77
Let f be 893438/75150 - (-17 - -13). Let h = 2/12525 + f. Let o = h + -47/3. Calculate the common denominator of -101/2 and o.
18
Let x(z) = z**3 + 9*z**2 + 13*z - 1. Let c be x(-7). Let y be (16/(-6))/(c/18). Calculate the common denominator of ((-145)/(-48) + -3)/(y/108) and -33/16.
32
What is the smallest common multiple of (-4 - 3012/(-5))/(10*4/200) and 12?
8976
Let v(r) = 13*r - 218. Suppose 16 = 3*y - 4*l, 0*l - l - 1 = 0. Suppose 3*m = y*i + 30, -15 = -4*m - i + 6. Calculate the lowest common multiple of m and v(18).
48
Calculate the least common multiple of 55 and 6 + 102 + 1 + 2 + 15 + -21.
1155
Suppose -648 = 7*z - 16*z. Suppose 10*l - 6*l - z = -4*m, 2*l = 0. Let r = 44 + -18. What is the least common multiple of r and m?
234
Let z be (-28392)/98 - (-4)/(-14). Calculate the common denominator of (z/(-42))/((-330)/385) and 7/6.
18
Suppose 1790 = 9*w - 2503. Suppose 129 - w = -12*f. Calculate the lowest common multiple of 2 and f.
58
Let a(j) = 2*j**2 + 6*j - 100. Let y be a(12). What is the lowest common multiple of 15 and 6/(-26) - (-15660)/y?
60
Suppose -3*w + 38 = -40. Let i = 313 - 261. Suppose a - 6*a + 60 = -4*f, 2*a = -4*f + i. Calculate the least common multiple of w and a.
208
Let v = -30088/11 - -76845555/28094. Find the common denominator of v and -27/4.
5108
Calculate the common denominator of -9/206 and 4 + (-25350)/200*87/2781.
1236
Calculate the smallest common multiple of -4 + (-9)/36 + 4431/12 and 511.
2555
Let t(g) = -3*g - 23. Suppose 2*c + 6 = 3*z, 3*c + 4*z = -32 - 11. Let w be t(c). Suppose 16 = 6*y + w. What is the smallest common multiple of y and 11?
22
Let a = -5681 - -6066. What is the lowest common multiple of a and 315?
3465
Let s be (-3081)/(-27) + 28/(-252). Let z = s + -102. What is the least common multiple of z and 5 - 2*2/(-4)?
12
Let z = 17 + -11. Let h(b) = -b**2 - 19*b - 46. Let m be h(-6). Let u = 38 - m. What is the lowest common multiple of z and u?
6
Suppose -17457 = 30*r - 60*r + 7*r. What is the least common multiple of 11 and r?
759
Let q(u) be the second derivative of u**4/12 - 4*u**3/3 - 55*u**2/2 + u. Let l be q(8). Calculate the common denominator of (-3)/l*(395/10 + 3) and 79/38.
418
Let g(o) = 2*o**3 + 19*o**2 + 19*o - 9. Let d be g(-9). Let z = d + 109. Suppose 3*v + 21 = 6*v. Calculate the smallest common multiple of v and z.
70
Suppose 0*t + 2*l + 32 = 2*t, 3*t - 60 = -3*l. Let f be 8/36 + (3 - 832/t). Calculate the least common multiple of 1 and f/(-2) - (7 + (-55)/10).
20
Suppose -m = 9*m + 310. Find the common denominator of ((-86)/(-10))/(2/(-5)) and (-20)/(-5 - -15)*m/(-24).
12
Let k = 2654/9 - 18740/63. Calculate the common denominator of k and -9/71.
497
Let a be 404/(-570) + 80/(-100). Let c = a - 335/798. Find the common denominator of 137/350 and c.
350
Let z = -73924/155 + 2389/5. What is the common denominator of z and -18/403?
403
Suppose 101 + 139 = 8*w + 7*w. What is the lowest common multiple of 305 and w?
4880
Let i = -119297 - -1670247/14. Let u = 6914 + -193645/28. What is the common denominator of i and u?
28
Let v(b) = b**2 + 6*b + 7. Let n be v(-5). Suppose -n*o - 38 + 104 = 0. Suppose -o - 33 = -6*m. What is the least common multiple of m and 3?
33
Let u(m) = -26271*m**2 - 6*m + 33. Let i be u(3). Let x = 70218011/297 + i. Calculate the common denominator of 19/12 and x.
1188
Let z(f) = 20*f**2 + 11*f - 19. Let n be z(2). Calculate the common denominator of n/66 - 34/102 and 13/144.
1584
Suppose -541 + 721 = 6*c. What is the smallest common multiple of 2/4 - (-255)/34 and c?
120
Let i = 3770 - 3735. Calculate the common denominator of i and 0/1 - (-657)/(-315).
35
Let k = -1/147675 + 644419/2805825. Find the common denominator of k and 51/19.
209
Suppose -6*w = -4*w + i - 424, i - 215 = -w. What is the least common multiple of w and 209?
209
Let g be (-3 + 60/28)*-7. Suppose -1 = -f - g. Calculate the lowest common multiple of 26 and (f*3/(-15))/((-1)/(-22)).
286
Let f be (-8)/(-4) + (-7 - -13). Suppose b = -y + 10, -y - f = 5*b - 42. Calculate the lowest common multiple of (-1 - 2)*30/(-9) and b.
30
Suppose 0 = -2*c + 5*b - 16195, 5*b + 18445 = -3*c - 5785. Let z = c - -145615/18. What is the common denominator of z and -19/60?
180
Let j = -126624457/436260 - 2/109065. Let u = -3280513/24 + 136401. Let x = u - j. Find the common denominator of -19/3 and x.
24
Suppose -342*p + 8127 = 3926 - 41627. What is the least common multiple of p and 32?
2144
Suppose -6934 - 18679 = -127*o - 5547. Calculate the lowest common multiple of ((-8)/(-10))/((-3)/(-30)) and o.
632
Let j be 10/(-2)*84/35. Let y = -3/2119 + 36122/69927. What is the common denominator of ((-6)/9)/(j/82) and y?
99
Let w be 248/(-504)*(-1193)/379. Let o = w - 196/379. What is the common denominator of o and -95/4?
252
Find the common denominator of -1/65 and (1/(-5380))/((-146)/(-11096)).
17485
Let u = 23 - 11. Let m = -788 - -666. Let y = m + 130. Calculate the smallest common multiple of y and u.
24
Calculate the common denominator of -37/27 and -1*(-132)/10212*((-7)/3 + 2).
22977
Suppose 0*j - 60 = -3*j. Suppose 0 = 5*d - 10*d + j. Suppose -86 = -8*t + 10. Calculate the smallest common multiple of d and t.
12
Suppose 25*t = 19*t + 456. What is the lowest common multiple of t and 20?
380
Let k = 8667/7100 + -103/71. Find the common denominator of (-51)/1530*-210 + (377/(-30) - (-1 + 0)) and k.
300
Let f = -9891123/175 - -56521. What is the common denominator of 36/325 and f?
2275
Let i = -9883 - -375465/38. What is the common denominator of 17/703 and i?
1406
Let j = 171724073/72 + -2385139. Let g = j - -740/9. Find the common denominator of g and 113/30.
120
Suppose -2*x = 28*n - 4448, -56*x + 52*x + 8572 = 2*n. What is the least common multiple of 1284 and x?
6420
Let j(b) = -7*b**3 - 31*b**2 - 55*b + 2. Suppose 2*t - 2 = 2. Suppose 2*h = t, 3*h + 140 = 4*f - h. Calculate the lowest common multiple of j(-2) and f.
396
Let y = -176/5 + 598/15. Let o = -13421/9 - -1499. What is the common denominator of y and o?
9
Let f = -39324 + 39369. What is the lowest common multiple of 1210 and f?
10890
Suppose -2*j + 2*g + 222 = -j, -3*j - g = -694. Calculate the smallest common multiple of j and 69.
690
Let o be 109/(-54) - (-2 + 1 + -1). Let j = o - -2/27. Calculate the common denominator of j and 46/27.
54
Let l(v) = v + 1696. Let y be l(0). Suppose -k + 4*u = -3*k + 868, -2*u = -4*k + y. What is the common denominator of -51/2 and k/44 + 26/(-22) + 1?
2
Let k = 23849/6445 - 1/2578. Find the common denominator of -103/242 and k.
1210
Let f = -11519 + 16711. Calculate the lowest common multiple of 12 and f.
15576
Let v = -41761/4 + 10441. Find the common denominator of 35/2529 and v.
10116
Let o = 67178751/28 - 2398933. Let a = -2001/7 + o. Let c = -607/5 - -1243/10. Calculate the common denominator of c and a.
20
Suppose -4*y - z + 1487 + 3251 = 0, -2*y + 7*z + 2324 = 0. Calculate the lowest common multiple of 1352 and y.
9464
Let g be -5*(1341245/131698 - 4/14). Let b = 3/409 - g. What is the common denominator of 83/58 and b?
58
Calculate the common denominator of ((-6)/20)/(7 + 37520/(-5450)) and 167/168.
168
Suppose 4 = 3*o - 0*o + 2*k, 2*k = 2*o - 16. Suppose o*q - 55 = 25. Find the common denominator of -133/12 and ((-56)/q)/((-16)/(-35)).
24
Suppose 4*g = 102 + 22. Let x = g - 21. Let q = 547 - 546. What is the smallest common multiple of x and q?
10
Let v(q) = 9*q - 55. Let x be (0/(-2) - -1)/(-1) - -7. Calculate the lowest common multiple of v(7) and ((-8)/x)/(9/(-27)).
8
Let r = 2779 - 2680. Calculate the least common multiple of r and 77.
693
Calculate the common denominator of 17/6 and (-20515)/(-7260) + 3 + -5.
132
Let w(x) be the first derivative of -x**4/4 + x**2/2 - 2. Suppose -154 = -12*z + 124 - 14. What is the smallest common multiple of w(-2) and z?
66
Let o be (-118440)/(-128) + 2/((-48)/9). Let y = 927 - o. Find the common denominator of 83/36 and y.
144
Let k be 1*-1*(-5 - -5). Let d = 3 + k. Calculate the smallest common multiple of (87 + d)*2/5 and 20.
180
Suppose 3*t = -5*s - 88, t + 0*t + 48 = 3*s. What is the common denominator of 4 + -4 + 2 + 26/t and 2 - ((-913)/(-165) - (-1