t q(m) = -2*m**2 - 13*m - 6. Let l be q(-5). Suppose -10*f + l*f = -465. Let d = -1797/4 + f. Find the common denominator of d and 47/44.
44
Calculate the lowest common multiple of 150 and (21090/90 - (-1)/(-3)) + -9.
450
Suppose 8*t = 258 + 134. Suppose -4*a = -2*i - 16, 25*a - 21*a + 4*i - 40 = 0. Calculate the least common multiple of t and a.
294
Let w = -135 + 171. Suppose 0 = m + w - 63. What is the smallest common multiple of 111 and m?
999
Let n = 40 - 7. Find the common denominator of -39/5 and n/(-9)*68/(-153).
135
Calculate the common denominator of -119/72 and ((-3)/243)/((-80)/428).
3240
Let n = -267995/27254 + -4/40881. Calculate the common denominator of (-2)/(148/81) - 0 and n.
222
Let a = 3/7421 - -215074/333945. Find the common denominator of a and 83/168.
2520
Let x = 966265/42 - 23005. Calculate the common denominator of -61/126 and x.
126
Let s(q) = 36*q + 50. Let b be s(-1). Suppose b*z - 310 = 712. What is the smallest common multiple of 6 and z?
438
Let f = -58 - -53. What is the common denominator of (f + (-188)/(-12))/(10/(-6)) and 49/8?
40
Suppose 3*v - 136 = 89. Let y = 69 - v. Calculate the least common multiple of 14 and 10/8 + (y/(-8) - 1).
14
Suppose 11*k - 24 = 15*k, -4*l + 3*k + 77862 = 0. What is the least common multiple of 3 and l?
19461
Let u be ((-45)/10 - -3)*4/(-2). Suppose x - 61 = -u*d + 35, 2*x - 137 = 5*d. Let i = x - 74. What is the smallest common multiple of i and 12?
84
Let v(i) = 811*i - 2845. What is the least common multiple of 133 and v(4)?
399
Let z = 147 - 144. Suppose -4*m = z*v - 74 + 20, 0 = m + 2*v - 16. Let g = -11 + 21. What is the lowest common multiple of g and m?
60
Let t(g) = 20*g**3 - 3*g**2 + 6*g - 14. Let s be t(-6). Let d be -4 + 4 + s/966. Let z = -34/69 - d. Find the common denominator of -37/7 and z.
7
Let x(j) = -17*j + 318. Let b be x(19). What is the least common multiple of 12 and (-2)/b - ((-2128)/80 - 3)?
60
Let i = -3849241/90 + 42770. Find the common denominator of 131/648 and i.
3240
Suppose -444 + 441 = -3*t. Calculate the lowest common multiple of t and 1.
1
Suppose v - 2 = 0, 4 - 5 = g - v. Let s(j) = -18*j + 18*j**2 + 11 - g - 20*j**2. Calculate the lowest common multiple of 22 and s(-9).
110
Suppose 3*b = -3, -4*i + b + 5 + 0 = 0. What is the least common multiple of 112 and 3 + 29*3*i/3?
224
Let x(d) = 8*d - 4. Let f be (-5)/30 - 26/(-12). Let o(z) = 2*z**3 + 3*z**2 + 3*z + 20. What is the lowest common multiple of x(f) and o(0)?
60
Suppose -k - 8003 = -2*m, 8012 = 2*m - 2980*k + 2976*k. Calculate the lowest common multiple of 2000 and m.
4000
Suppose -373 = -25*d + 202. Suppose 80 = 3*z + d. Calculate the lowest common multiple of z and 6.
114
Let u(s) = -147*s - 96. What is the smallest common multiple of 432 and u(-8)?
2160
Suppose -39*t - 48*t + 60*t + 110538 = 0. What is the least common multiple of 5 and t?
20470
Let g = -3564 + 10639/3. Calculate the common denominator of g and -155/222.
222
Let p(a) = 28*a - 8. Let b(v) = 14*v - 3. Let j(c) = -5*b(c) + 3*p(c). Calculate the least common multiple of 3 and j(3).
33
Suppose -20*q - 43110 + 133510 = 0. Calculate the smallest common multiple of q and 40.
4520
Let a = -8569 + 8576. What is the least common multiple of 2002 and a?
2002
Let k(j) = 2*j**2 + 11*j - 396. What is the common denominator of -97/80 and k(-17)?
80
Suppose 123*q = 135*q - 60. Calculate the smallest common multiple of q and (-30)/(-40) + 314/8.
40
Let l = 194 + -221. What is the common denominator of 17/6 and (-1 - l/(-60)) + 6/(-8)?
30
Let y(i) = -492*i - 1964. What is the lowest common multiple of y(-4) and 4313?
17252
Suppose 3 = 2*i + 2*j + 3*j, 5*i = -5*j - 30. What is the smallest common multiple of 2 and i/3*-3 - 2?
18
Let v = 55732115/494 + -112818. Calculate the common denominator of v and -57/299.
11362
Let p = 21221/6 + -3547. Calculate the common denominator of p and 25/2*(-629)/8880.
96
Find the common denominator of -13 - -17 - (-4886)/(-1008) and -1/296.
2664
Let m = -246 - -243. Calculate the common denominator of 121/18 and (8 - 4218/972) + m.
162
Let b(u) = -u**3 + 23*u**2 + 24*u - 18. Let k be b(24). What is the common denominator of (1 - (-22)/k) + 1518/432 and 97/96?
96
Suppose 0 = 43*t - 36002 + 3881. What is the lowest common multiple of 27 and t?
2241
Let k(l) = l**3 - 26*l**2 + 55*l - 748. Calculate the smallest common multiple of k(25) and 1718.
1718
Calculate the common denominator of 51/1580 and ((-29)/464)/(5/(-156)).
1580
Let r(h) = -h**2 - 5*h - 20. Let m be r(-4). Let n(x) = 2*x + 36. Let j = -26 - -29. What is the least common multiple of n(m) and j?
12
Let p = -184053/7436 - -3/1859. What is the common denominator of p and (-714)/224*(-28)/105?
20
Let b(v) = -v**2 + 9*v - 11. Let c be b(7). Let g be (159/c)/(3/21). Suppose -69 = -10*o + g. What is the smallest common multiple of o and 2?
44
Suppose -6*b - 4*u = -7*b + 395, 2*b - 4*u = 770. What is the least common multiple of 45 and b?
1125
Suppose 0 = 20*v - 15 - 5. What is the common denominator of -44/21 and (36/896*v)/((-2)/(-24))?
168
Suppose 3*l + 33 = -5*t, 0 = -4*t + 3*t + l - 5. Let i be (t/(-17))/(17/7). Let o = -10105/4046 - i. Find the common denominator of o and -37/14.
14
Suppose -2*o + 11 = 1. Suppose 8 = 4*g + 2*r, -5*g - 1 = 4*r - o. What is the common denominator of -107/36 and ((-262)/(-66) - g)*29?
396
Suppose -4*y + 62 = 2*p - 0, -5*p - 40 = -3*y. What is the smallest common multiple of 1917 and y?
9585
Let c(p) = 200*p - 538. Calculate the smallest common multiple of c(6) and 2.
662
Let h(x) = -x**3 - 9*x**2 - 12*x + 19. Let n be h(-7). Suppose n*f + 86 = 206. What is the least common multiple of 60 and f?
120
Let n = -25526971/320 - -79772. Find the common denominator of n and -101/52.
4160
Let j = 1326838/649 - 9235/59. Let m = j - 1890. Suppose -k + 5*k = -y + 113, 4*k = 3*y + 125. What is the common denominator of k and m?
11
Suppose 386 = d + 3*u, -3 = -3*u + 6. Suppose 0 = -4*w - g + 302, 5*w + 14*g = 13*g + d. Calculate the lowest common multiple of 15 and w.
75
Let d = 518 - 354. Suppose 2*g + 19*z - d = 20*z, -404 = -5*g + 4*z. What is the lowest common multiple of g and 15?
420
Suppose -4*j = 3*c + 45, 2*j - 5*c = -0*c - 29. Suppose -4*r - 4 = 16, 3*d - 115 = 5*r. Calculate the lowest common multiple of (1*j)/(d/(-20)) and 92.
184
Let r = -66315 + 66339. Let t(h) = 10*h. What is the smallest common multiple of r and t(4)?
120
Suppose 29*d - 173 = 6207. What is the smallest common multiple of d and 22?
220
Let a = -526 + 636. What is the smallest common multiple of 3 and a?
330
What is the least common multiple of 180 and (-71821)/(-19) - (-50)/(-950)?
3780
Suppose y - 310 - 678 = 2*d, 4*d - 4060 = -4*y. Calculate the lowest common multiple of 18 and y.
9054
Let d = 369 - 317. Calculate the smallest common multiple of (60/(-16))/((-13)/d) and 40.
120
What is the lowest common multiple of 1/((-3)/18) - (1157 - -13)/(-5) and 228?
228
Let c(r) = r**3 + 6*r**2 + 4*r. Let z be c(-5). Let s(d) = 7*d - 2 - z + 4 - 4*d. What is the lowest common multiple of s(2) and 1?
3
What is the common denominator of 129696/3193344 - 1/16 and 85/252?
8316
Suppose 135 - 18 = -o. Let k be (-4)/(-2) - (-168 + (-24)/(-4)). Let c = k + o. What is the smallest common multiple of c and 1?
47
Find the common denominator of 1/4*-22*(-144)/189 and 85/126.
126
Suppose -20 = -2*v + v. Let g be ((-6)/38)/(-14 - 49/(-14)). Let w = g - 4528/399. What is the common denominator of w and v?
3
Suppose 2*g = c + 497, -3*g + 753 = 12*c - 11*c. Let d = g + -1756/7. Let p = 16508/371 - -3/742. What is the common denominator of p and d?
14
Let a(h) = 16*h**3 - 5*h**2 - 8*h + 18. Let n be a(8). Let r = 125261/16 - n. Calculate the common denominator of 41/112 and r.
112
Let r = -271239 - -275850010/1017. Calculate the common denominator of r and -64/45.
5085
Let q be (-98)/245 + (-4)/(-10). Suppose q = 81*t - 77*t - 384. What is the smallest common multiple of 52 and t?
1248
Let t = -53215/32 - -1660. Find the common denominator of 540/176 - 6/2 and t.
352
Let m be (-19 + 22)*(-32)/(-6). Suppose -4*u - m = -8*u, i = 2*u + 16. What is the smallest common multiple of 30 and i?
120
Calculate the common denominator of 133/552 and (22/891)/(1/(-6)*-4).
4968
Suppose 