Suppose 890 = 5*m + 5*y, -168 = -81*m + 80*m + 4*y. Calculate the least common multiple of 16 and m.
176
Let n = -38597065178451/2611 + 14782484586. Let h = n - 245/373. Let l = h - 800. Find the common denominator of l and -4/3.
21
Let b be ((-21)/14)/(2778/(-8)). Let l = -49489/12038 - b. What is the common denominator of l and -83/10?
130
Let i = -258157200610 + 340251174336277/1318. Let v = i + 12191. Find the common denominator of v and 1/8.
5272
Let h = 91502/77185 + 1/1795. What is the common denominator of 71/129 and h?
129
Let a = 7/921 + -58163/18420. Calculate the common denominator of -99/56 and a.
280
Let r = 1762/8415 - 19/1530. Let y = 413/3 - 965/6. What is the common denominator of y and r?
66
Suppose -i = 5*q - 75, 4*i - 3*q - 243 = i. Calculate the common denominator of 1 - 2*(-55)/i and 69/124.
248
Suppose 2*y - 21 = -17. Suppose -y*q = -4*r + 42, 8*q = -2*r + 5*q + 17. What is the smallest common multiple of r and 4?
20
Let x = -571/69 - -44417/4692. Calculate the common denominator of -83/544 and x.
544
Let t = 207 - 351. Calculate the common denominator of -89/18 and (1 - -2) + (-2040)/t.
18
Let l = 6335474186/14815097 - -2/1346827. Let a = -26585/66 + l. Calculate the common denominator of a and 52/213.
426
Suppose -2*t + 4*t = -m + 20, 5*t = -m + 23. Calculate the common denominator of -29/49 and (m/196)/(312/1820).
196
Let z = -10021 + 140267/14. Calculate the common denominator of ((-2)/6)/(570/207) and z.
1330
Suppose -10 = -68*l + 63*l. Suppose -3*y = -l*k + 74, -3*y - 8 = 3*k - 134. What is the least common multiple of k and 12?
120
Find the common denominator of ((-6600)/(-95))/5*6/(-4050)*-5 and 187/2850.
8550
Suppose -5*v + 2*m - 10 = 0, 0 = -5*v - m - 33 + 8. Find the common denominator of ((-4)/18)/(3/93) and (v - 749/21)*(-2)/8.
36
Find the common denominator of -109/1026 and (13 - -9)*110/4320.
4104
Calculate the lowest common multiple of 50 - 195/(-15) - -3 and 308.
924
Let r = -20697 + 20838. What is the least common multiple of 72 and r?
3384
Let j(t) = 9*t**3 - 108*t**2 + 2*t - 2. Calculate the lowest common multiple of 14 and j(12).
154
Suppose -328 = -5*r + 22. Suppose 3*w + 3 = -j + 8, w = 2*j + 25. What is the common denominator of j/30 - r/(-66) and -2/7?
77
Let u = -17 - -24. Suppose -7*h - 16 = -100. Let s(v) = v**3 - 11*v**2 - 16*v + 54. Calculate the lowest common multiple of s(h) and u.
42
Suppose 195 = v - 36. Let a = -225 + v. Calculate the smallest common multiple of 96 and a.
96
Suppose 5 = -g - 0, -2*p = -5*g - 1717. Suppose -4*i + 974 = p. Calculate the smallest common multiple of 22 and i.
352
Let j = -50 - -65. Calculate the common denominator of ((-7)/((-1008)/30))/((-14)/j) and 91/12.
336
Suppose d - 1 = 2*j, -4*d - 55 = -2*j - 59. What is the lowest common multiple of d and 67?
67
Suppose 4*d + 5*d = 729. Let h = 37 - d. What is the common denominator of (1 - -1)/((-56)/h - 2) and 34/13?
52
Let g be 15/3180*(435/411 - 1). Let l = g + 602627/130698. Find the common denominator of l and -16/9.
18
Suppose -267 - 300 = 104*f - 2647. Suppose 0 = d - 2*i - 58, -3*d + i + 131 = -d. Calculate the lowest common multiple of f and d.
340
Let d be (-14 + 18)*(-7116)/(-16). Let s = -596281 + 3566989/6. Let t = d + s. Find the common denominator of t and -113/6.
6
Let c = -75 + 108. What is the common denominator of ((-310)/(-16) - 6)*(-6)/(-9) and 187/c*(-3)/14?
84
Suppose 0 = 3*p + v - 51 + 21, 3*p - 45 = 4*v. Suppose 0 = -3*q + 5*s - 12, 5*s = 7 + 8. What is the lowest common multiple of q and p?
11
Let s(g) = -10*g**3 - 2*g**2 + 5*g + 6. Let v = -98 - -112. What is the least common multiple of s(-1) and v?
126
Let m = -77 - -56. What is the least common multiple of m/6*(4 + -8) and 4?
28
Let t = -7277 - -87335/12. Find the common denominator of 7/3142 and t.
18852
Suppose 3*l - 4*x - 82 = 0, -4*l + 130 = -0*x + 5*x. Let n be 227/(-5) - 3/(l/(-4)). Let h = 78 + n. Calculate the least common multiple of 6 and h.
66
Suppose -688 = 267*b - 269*b. What is the smallest common multiple of 860 and b?
1720
Let q(v) = -v**3 - 71*v**2 - 988*v + 112. What is the least common multiple of 944 and q(-52)?
6608
Suppose -4 + 1 = h, -b + 39 = -h. What is the common denominator of 1*(0 - 107/18) and (44/(-110))/(b/(-625))?
18
Suppose 9 = 8*l - 7*l. What is the least common multiple of l and (-592)/(-20) + ((-28)/(-10))/7?
90
Let d(g) = 3*g**2 + g. Let n = 1 - -48. Let o be -1 - 1/(-3) - n/21. What is the smallest common multiple of 3 and d(o)?
24
Find the common denominator of -1 - ((-24)/(-16) - (-39)/22) and -2/221.
2431
Let n(q) be the third derivative of q**4/24 + 17*q**3/3 + 2*q**2 + 2. Calculate the least common multiple of 77 and n(8).
462
Suppose -2*i - 2*i + 16 = 0. Let j be 14/56 - 337/i. Calculate the common denominator of 3/(j/184) - -1 and 29/6.
42
Let v = -22760 + 22841. Let t = 135 + -54. What is the lowest common multiple of t and v?
81
Suppose 3*j = -3*y - 15, -4*y - 18 = -2*j + 2. What is the least common multiple of 20 and j/(-19) + 15/3 + -1?
20
Let q(j) = -3*j**2 + 99*j - 78. Calculate the smallest common multiple of q(28) and 6.
342
Suppose 4*g = 5*f + 672, -4*g + 2*f - 20 = -692. What is the common denominator of 1630/g - (-2)/(-7) and (-16 + (-885)/(-55))*(-41)/2?
132
Let n = -9409/20 + 2383/5. Calculate the common denominator of 113/2286 and n.
22860
Let f be (329/63 - 5) + 314233/(-72). Let j = f + 4374. Find the common denominator of 187/85*-1*(-3)/(-1) and j.
40
Find the common denominator of -99/32 and 5/20*4 + (-15795)/16800.
1120
Calculate the common denominator of 18 - (874764/(-4368))/(-11) and -20/273.
1092
Let c be 6/((-144)/30) - 36/16. Let t = 41/12 + c. What is the common denominator of t and 45/44?
132
Calculate the common denominator of 14 + (6 - 9915/501) and -61/9.
1503
Let d = -31149/7 - -4453. What is the common denominator of 61/126 and d?
126
Let p = 2055592 + -6364112933/3096. Find the common denominator of 7/54 and p.
9288
Let a = 23/13739 + 741569/8408268. Find the common denominator of 35/1972 and a.
17748
Let p be -43 + (-2 + 0)*(-11)/22. What is the common denominator of -11 + 4 + (-180)/p and -20/11?
77
Suppose -3*n - 391 = 2*a, 25*a - 29*a + 4*n - 792 = 0. Let q = 9446 - 56821/6. What is the common denominator of a/18 - ((-284)/(-36) + -8) and q?
6
Let n = 19 - -3. Let m(v) = v**3 - 22*v**2 + 97*v - 184. What is the least common multiple of n and m(17)?
220
Let j be 3/1 + -1*(-6 + 4). Suppose -3*k - j*i = 13 + 6, 24 = 2*k - 4*i. Calculate the smallest common multiple of k and 8.
8
Suppose -20*y - 686 = -4*h - 18*y, -4*h + 711 = 3*y. What is the common denominator of -33/134 and ((-207)/60)/(h/(-145))?
536
Suppose -19*c = -1501 - 12525 + 1106. What is the lowest common multiple of 32 and c?
2720
Let b(x) = 76*x**2 - 3*x - 3. Let d be b(2). Suppose d = 23*h - 18*h. What is the lowest common multiple of h and 1?
59
Let g = 169831/42 - 4043. What is the common denominator of g and 115/88 + (-6)/33?
168
Let x be -1 + 1 - 0*(2 - 3). Suppose -34*t + 33*t + 12 = x. What is the lowest common multiple of t and 27?
108
Suppose 0 = -0*l - 3*l + 36. Suppose -60 = 101*a - 464. What is the smallest common multiple of a and l?
12
Let b = 89/26 + -7/2. Let s = -8011/390 + -19/65. What is the common denominator of s and b?
78
Let r = 3931/78 - 900/13. Find the common denominator of r and 139/7620.
7620
Calculate the common denominator of (-2)/5*(261625/35328)/(-25) and 23/42.
5376
Let r(y) = -3*y + 53. Let t be r(13). Suppose -9*m - 270 = -t*m. Let k = 94 - m. What is the smallest common multiple of k and 8?
40
What is the lowest common multiple of 27*(-1)/3*-1 and 12684/105 + (3 - 76/20)?
360
Suppose -z + 20 = 3*h - 50, 0 = -3*h - 3*z + 66. Calculate the least common multiple of 381 and h.
3048
Let a(w) = w**3 - w**2 + 10. Let c be 1/((-8)/300*(-2)/4). Let p = c + -75. Calculate the lowest common multiple of 10 and a(p).
10
Let m be (-1)/5 - (-14)/(-5) - -6. Suppose -95 - 5 = -10*h. What is the least common multiple of h and (0 + -2)/(m - 78/24)?
40
Suppose -3*i - 2*i = 174330. Let z = 836659/24 + i. Find the common denominator of z and 8/(-30)*(7 + 73).
24
Let a be (4184/(-2736))/(2852/(-1172) + 3). Let i = -15/3154 - a. What is the common denominator of i and 57/52?
4