12
Let s(y) = 4*y**3 - 33*y**2 + 41*y - 11. Let v(i) = i**3 - 8*i**2 + 10*i - 3. Let t(d) = -2*s(d) + 9*v(d). Calculate the lowest common multiple of t(5) and 16.
80
Let z(y) = 4*y**2 - y - 348. What is the least common multiple of 8 and z(14)?
1688
Suppose 0 = -3*j + z + 29 - 7, -3*j - 3*z + 6 = 0. Suppose 0 = -2*a + 3*a - 1, a - 33 = -4*o. What is the smallest common multiple of o and (4/j)/(18/54)?
8
Suppose 3*o = 2 + 7. Suppose -w = o*s + s - 15, -4*s = 5*w - 59. What is the smallest common multiple of w + -10 - 10/(-2) and 9?
18
Let w = 319 + -145. Suppose 5*b = 3*o + b + 209, 0 = 3*o + 3*b + w. Let d = o - -107. What is the smallest common multiple of d and 20?
220
Find the common denominator of (-818)/160 + (-8)/(-40)*30 and 37/4560.
4560
Find the common denominator of ((-2)/15*9/(-18))/((-54)/(-4293)) and 83/40.
40
Let g = -4/22203069 + -56513154235/577279794. Let d = 1320/13 + g. Calculate the common denominator of 6 + -5 - 249/(-42) and d.
14
Suppose h = 8*j - 45, 4*j + 5*h - 34 - 5 = 0. What is the smallest common multiple of j and 1657?
9942
Suppose -58*j = -56*j - 2. Calculate the smallest common multiple of 1*(20/(-8) - j)*-2 and (-45)/(-54) - (-1)/6.
7
Let d = 31604461/120 + -263372. Calculate the common denominator of d and 38/1395.
11160
Let g = 11454532897/907140 + -87/151190. Let w = g + -12615. Find the common denominator of (-4)/16 - 3/(-5) and w.
60
Let v be (-9)/3 - (2 - 3). Let m = 294193/27688 - 1/3461. Calculate the common denominator of m and (17/(-14) - 1) + v.
56
Let z be 0 - -1 - (-221 + (-4 - -8)). Let p = -196 + z. Calculate the least common multiple of 206 and p.
2266
Suppose -62*t + 905 = -67*t. Let k = 217 + t. What is the least common multiple of k and 48?
144
Let i = 5774 + -115357/20. What is the common denominator of ((-1)/(-2))/((-99)/(-873)) and i?
220
What is the smallest common multiple of 330 and (-24)/(-10)*120/108*180?
5280
Let l be 255/102 + 1*(-1)/2. Suppose l*j = 37 - 27. Suppose -4*w + r = j*r - 48, 3*r = -6. What is the least common multiple of 14 and w?
14
Let n(y) = y**3 + 10*y**2 - 54*y - 150. What is the smallest common multiple of n(-13) and 8?
360
What is the lowest common multiple of ((-418)/(-4))/(297/(-18) - -17) and 190?
2090
Let f be 418/88 - 2/(-8). Suppose f*n - 152 = -62. Let l(h) = h + 21. What is the smallest common multiple of n and l(-9)?
36
Let o = 586 - 583. What is the smallest common multiple of (1 + 45 - -2)*1 and o?
48
Let t(p) = 4*p - 174. Suppose -5*b + b + 132 = 0. Calculate the least common multiple of b and t(57).
594
Let i = -9566 - -11388. Calculate the least common multiple of 5 and i.
9110
Let w(k) = 6 + 8 - 7 - k. Suppose 5*s + 0 - 15 = 0. Calculate the lowest common multiple of 2 and w(s).
4
Let l be (-547)/5271 + (-410)/105 + 4. Let a = 188749/87850 + l. What is the common denominator of -16/3 and a?
150
Suppose -72*b - 81*b = -155*b + 18. What is the least common multiple of b and 825?
2475
Let y = 252 - 246. Calculate the common denominator of -2517*6/2772 + y and -93/8.
616
Let m = -26840 + 27498. Calculate the least common multiple of m and 658.
658
Let z = -3481 + 3508. Calculate the lowest common multiple of z and 501.
4509
Suppose z - 5*a = 15, 5*z - 3 - 3 = 2*a. Suppose z = -4*j - 2*f + 54, -1 = -j + f + 5. Find the common denominator of 1 and 4 + (2 - 29/j).
11
Suppose 285*a = 287*a + 2, 4918 = u + 2*a. Calculate the smallest common multiple of 492 and u.
4920
Suppose 2*y - 272 = -0*y. Let r = 369221 + -369197. What is the lowest common multiple of y and r?
408
Suppose 42*k + 33*k + 1746 = 81*k. What is the smallest common multiple of k and 750?
72750
Let n = -12097 + 12443. Calculate the smallest common multiple of 14 and n.
2422
Calculate the common denominator of (49/672)/(6/4) and (0 - (-43)/(-96)) + 825/(-2200).
288
Suppose 163 = -8*z - 197. Let d be ((-5 + 8)/z)/((-2)/207). Let x = 7/10 - d. Find the common denominator of x and 43/8.
40
Let t(y) = y**3 - 12*y**2 - 11*y - 27. Let n be t(13). Let x be ((-62)/(-4))/(n/514). Let h = x - -47939/6. Calculate the common denominator of 24/5 and h.
30
Let p be (-2)/620*142 - (-4)/8. Let q = p - -4943/15190. What is the common denominator of q and 19/21?
147
Suppose -2*y + 2 = -2. Let l(v) = -10*v + 4. Let k be l(5). What is the lowest common multiple of y and (-4)/k + 469/161?
6
Suppose 2*n - 3*l = -2125, -3*n + 0*l = -2*l + 3190. Let z = 109/9 + -1493/72. Find the common denominator of (57/n)/((-2)/(-184)) and z.
56
Suppose 0 = 19*a - a + 108. Calculate the smallest common multiple of 6 - 14 - a - -52 and 55.
550
Let l = 9 + -6. Suppose -53*g = -17*g - 5472. What is the smallest common multiple of 31/l - 2/6 and g?
760
Let c = -4673 - -4997. What is the smallest common multiple of 264 and c?
7128
Let c = 513347/11 + -46666. Find the common denominator of c and (-61)/((-2 - 0) + -10).
132
Suppose 5*n + 215 + 183 = 648. Calculate the lowest common multiple of n and 790.
3950
Let i = 15 - -29. Suppose 0 = -12*y + 1036 + i. What is the smallest common multiple of 42 and y?
630
Let q(y) = y**3 - 33*y**2 + 36*y - 126. Calculate the least common multiple of q(32) and 2780.
2780
Let l be (-12)/7*(-8)/7. Let m = -2749/1078 + l. What is the common denominator of (-2631)/(-612) + 12/102 and m?
132
Let l be 20/12*(1 + 108/15). Let v = l - 61/6. What is the common denominator of v and 9/20?
20
Let p be 330 + 2 - (24/6 + 0). Let i = p - 310. Suppose 140 = 4*q + q. Calculate the smallest common multiple of i and q.
252
Suppose -68 = 27*v + 8842. Find the common denominator of -133/60 and 38/285 - 841/v.
660
Let l = -19052 + 723997/38. What is the common denominator of l and 1/380?
380
Let l be (-3)/(45/(-6186))*10. Let h = 971176 + -9752959/10. Let y = h + l. What is the common denominator of y and -89/20?
20
Suppose -12*c + 13*c + 708 = 4*l, l = 2*c + 184. Calculate the smallest common multiple of l and 144.
1584
Let h = -304 - -388. Let a = h - 78. What is the lowest common multiple of a and 48?
48
Let y = 3444437/484 - 28467/4. What is the common denominator of -91/88 and y?
968
Let l(b) = 19*b + 5. Let i be l(-3). Find the common denominator of i/(-6) - (0 + 0) and 94/(-14) + 8/28.
21
Suppose 608 = 70*n - 1492. Calculate the least common multiple of n and 600.
600
Suppose 0 = -2*w - 5*j + 257, j = -w + 5*w - 459. Calculate the common denominator of (1/6)/((-2)/(-114)) and 1/32*(w + -2).
16
Let f(n) = -30*n + 2. Let p be f(1). Suppose 54 = -4*j + 22. Calculate the common denominator of 533/p - j/28 and 27/5.
20
Let h = -3 - -5. Let f be (5 + -6)/(1/24). What is the least common multiple of (-3)/24 + (-243)/f and h?
10
Let c = -15/266 + -1243/532. Let l = 3/28 - c. What is the common denominator of ((-9)/(-204))/((-2)/108) and l?
34
Suppose 0 = 42*o - 37*o + 30. Find the common denominator of -47/30 and (-521)/114 - (o - (1 + -3)).
570
Suppose 13*t - 8 = 9*t. Suppose 4*m + 6 = t*n, -6*n = -n + 5*m - 15. Calculate the smallest common multiple of 10 and n.
30
What is the common denominator of 187/(-374) - (-1)/(880/454) and 17/280?
3080
Let g = 17636 - 970049/55. Calculate the common denominator of 34/55 and g.
55
Let s = -85047 + 49327247/580. Find the common denominator of -37/60 and s.
1740
Suppose -j - u + 146 = 2*u, 0 = 5*j - 2*u - 645. Let c = -130 + j. What is the common denominator of -19/14 and -5 - (c - 813/134)?
938
Let b = 37211/29235 - 12/1949. Find the common denominator of -79/705 and b.
705
Let c = 42/1073 + -25637/134125. Let z = -2179/2000 - c. Calculate the common denominator of 73/56 and z.
112
What is the common denominator of (-2910)/14356*(-11)/(-445) and 17/296?
26344
Let g(w) = 7*w + 2*w - 2 - 1 - 3. Calculate the least common multiple of 61/4 + 4/(0 - 16) and g(4).
30
Suppose -28 = -19*t + 67. Suppose 4*x - t*o - 76 = 0, 0 = 3*x - 0*x + 4*o - 26. What is the least common multiple of x and 177/9 + (-1)/(-3)?
140
Suppose -j - 6*j + 4466 = 0. Let t = j - 918. What is the common denominator of (-14)/(-3)*(1421/t - -5) and 65/14?
140
Let l = -18 - -19. Let s be l + 267 + -1*8/(-4). Calculate the common denominator of 1179/s + 2/(-3) and 75/2.
10
Suppose 0 = -z + 3*j + 2*j + 36, -2*z = 5*j - 27. Suppose 13*q = z*q - 16. Suppose -5*a = -q*s + 65, 0 = -a - 1. What is the least common multiple 