 p?
240
Let h(v) = v**3 - 11*v**2 - 12*v + 3. Let y be h(12). Suppose -9*m - 4 + 67 = 0. What is the common denominator of 35/18 + (m - y)/2 and -49/18?
18
Let c = 1187 - 2013. Let o = c - -830. What is the smallest common multiple of 8 and o?
8
Let j be (-319742)/(-32)*45/(-90). Suppose -10431 + 35422 = -5*y + 4*r, 4*y = -5*r - 20001. Let m = j - y. Find the common denominator of -111/10 and m.
160
Let c(n) = 10*n + 127. Let a be -15*6/(-36)*-4. What is the least common multiple of c(a) and 27?
27
What is the common denominator of 39/1010 and (-35)/70*3*50/(-124)?
62620
Let y be (-11709)/(-3267) + -2*(-2)/(-6). Let w = y + -58535/16456. What is the common denominator of w and 139/36?
1224
Let s = -596305/357918 - -395/242. What is the common denominator of s and 28/135?
66555
Let i = 15222 - 3287969/216. What is the common denominator of 119/3132 and i?
6264
Suppose 4 = 2*z, -10 = -2*t + 8*z - 5*z. What is the least common multiple of t and 176?
176
Suppose -4*s + 9*x - 4*x + 157 = 0, 150 = 4*s + 2*x. What is the least common multiple of s and 274?
5206
Suppose s - 13*a + 11*a = 17, -4*s - 3*a = -46. Suppose 0 = -11*i - s*i + 768. What is the least common multiple of 16 and i?
32
Let p = -360245 - -469038917/1302. Calculate the common denominator of -71/186 and p.
1302
Suppose 3*r + q = r - 114, 2*r + 3*q = -110. Let k = -56 - r. Calculate the common denominator of (k/(-1))/((-20)/(-97)) and -62/5.
10
Let w be (-4)/10*3/6*2980. Let y = -578 - w. Suppose -154 = -5*s + 116. What is the smallest common multiple of s and y?
54
Let i be (-3 + -81)*(-5)/((-20)/(-23)). Find the common denominator of -38/11 and (2/((-32)/78))/((-207)/i).
88
Let p = 184 + -181. Suppose -522 = -p*c + 18. What is the smallest common multiple of 8 and c?
360
Let z(c) = -c**2 + 12*c - 15. Let g be z(9). Suppose g*k + 90 = 27*k. Suppose 0 = 4*l - 15 - 25. What is the smallest common multiple of l and k?
30
Let u(m) = m**3 + m**2 - m + 42. Let x be u(0). What is the common denominator of 109/24 and 3*4/x + (-7500)/(-36960)?
264
Suppose 3*s + 18*r - 63 = 15*r, -s = -5*r - 27. Calculate the smallest common multiple of 1254 and s.
1254
What is the common denominator of ((-94)/(-235))/(-2 + (-88)/(-258) + 2) and 19/440?
440
Let s be 12/(-9) + (-1)/3. Let j = -1/4 + s. Calculate the common denominator of j and -101/164.
492
Let f = 8718 + -11943647/1370. What is the common denominator of -99/2740 and f?
2740
Let v = -359 + 367. What is the common denominator of -53/10 and (-3286)/(-2385)*(-5)/v?
180
Suppose 4*x + 134 = -3*i, -32 = i - 4*x + 18. Let r = i + 51. Find the common denominator of -85/4 and ((-730)/(-8))/r - -4.
4
Let n be (-384)/(-60) - ((-2)/(-5) - 0). Suppose -91 = -n*o + 227. Let j = o + -35. What is the lowest common multiple of 4 and j?
36
Let m(p) = -p**3 - 63*p**2 - 2*p + 123. Calculate the lowest common multiple of 18 and m(-63).
1494
Let a be (1948/(-22))/((-8)/1214). Let y = 13434 - a. Calculate the common denominator of y and (-394)/36 + (36/9 - 1).
198
Let h = -164 - -114. Let q be (0 - h/(-4))*(-492)/15. Find the common denominator of q/444 - (4 - 70/21) and -13/14.
518
Suppose -11*w - 9*w = -4140. What is the lowest common multiple of 897 and w?
2691
Find the common denominator of 61/5780 and 82*(-824)/(-2720) + -25.
5780
Let c = 28 - -28. Find the common denominator of (6/(-5) - 0)/(c/(-910)) and (-2)/((1 + -4)/((-108)/96)).
4
Suppose 0 = 5*b - 3*b + 4*s - 148, -5*b + 397 = s. Calculate the least common multiple of b and (-1)/4 + (-132)/(-16).
80
Let w = -61 - -16. Find the common denominator of -101/10 and 0 + (-1390)/792 - (-10)/w.
220
Let m = -363/20 + 98/5. Let h = 501 + -494. What is the common denominator of (42/(-4))/(-5 + h - 13) and m?
220
Let f = -57 + 96. Suppose 76 = 5*p - p - 2*a, 4*a + 8 = 0. Calculate the smallest common multiple of p and f.
234
Suppose 36 = 4*n + y, -5*y = -5*n - 4*y + 45. What is the lowest common multiple of (72/(-5))/((-37)/(-10) + -4) and n?
144
Let w = 3368/1403 - 165/61. Suppose -3 = p + 1. Let h = p - 0. What is the common denominator of h and w?
23
Let l = -13543 + 19885. Let b = -126963/20 + l. Calculate the common denominator of -23/110 and b.
220
Let k(i) = -2*i + 46. Let w = -20 - -40. Let m be k(w). Suppose 0 = 2*s - 14 + m. What is the lowest common multiple of s and 8?
8
Let q(x) = x**3 + 18*x**2 - 48*x - 23. Let c be q(-19). Suppose 4*h - 424 = 4*a, a + c = 5*h - 2*a. Calculate the least common multiple of 30 and h.
210
Suppose -5*d + 140*s = 136*s - 724, 0 = -d - 5*s + 168. What is the smallest common multiple of 12 and d?
444
Let g = 63 - 25. Let q = 37 - g. What is the common denominator of 93/22 and (q/5)/((-2)/(-51))?
110
Let u = -5287/4 - -1299. Let m = -8235 - -658749/80. Calculate the common denominator of u and m.
80
Let r be (25/(-10))/(2/(-48)). Let g = r - 40. Calculate the lowest common multiple of g and 5.
20
Calculate the common denominator of 2 - ((-2 - -1)/(-248))/((-109)/(-62021)) and 41/152.
4712
Suppose -60 = -2*h - 3*q, 4*h - 25*q = 289 + 79. Calculate the smallest common multiple of 1/((-2)/(-124)) - 0 and h.
1302
Let a be (65/273)/(1*(-6)/(-27)). Let f = 824697/35 - 23561. Let o = f - a. What is the common denominator of -17/11 and o?
110
Let c be (-8)/(-28) + -2*(-30257)/(-1736). Let m = -9/124 - c. Find the common denominator of 249/45 - 2/(-10) and m.
30
Let z = 1540 + -1531. Let g(a) = -3*a + 3*a + a + 23*a**3 + 6*a**3. What is the smallest common multiple of z and g(1)?
90
Suppose -20 - 71 = -13*y. Calculate the lowest common multiple of 19/y + 30/105 and 3.
3
Suppose 2*y - 4 - 2 = 0. Suppose 103 = 5*v - a, y*v + 5*a = -0*v + 73. Suppose -21 = -28*u + 21*u. Calculate the least common multiple of v and u.
21
Suppose 9*w - 25 = 56. Find the common denominator of 95/(-16) - -1*27/w and -3/4.
16
Let t be ((-651)/(-15))/((-16)/(-5) + -3). Let s = t - 215. What is the least common multiple of 2 and s?
2
Let a = -326 + -202. Let g = 619 + a. Calculate the least common multiple of 39 and g.
273
Let n be 42 - (-3 + 0/(-2) + 4). Let k = 37 - n. What is the smallest common multiple of 6 - 0*(k/(-1))/8 and 16?
48
Suppose 0 = 204*j - 234*j + 450. Suppose -37 = -2*u + 47. Calculate the smallest common multiple of u and j.
210
Suppose 77*p + 9 = 4*q + 78*p, -4*p = -q - 19. Let f(a) = -a + 7. What is the lowest common multiple of q and f(5)?
2
Calculate the least common multiple of 3784 and (41 + -19)/((-2)/(-129)).
11352
Suppose -6*z = -5*z + 5*x - 138, 646 = 5*z + 3*x. Let t = -32 + z. What is the lowest common multiple of 27 and t?
864
Suppose 9*n - 5*n = 2*q - 42, -5*n + 42 = 2*q. Suppose 40 = -3*m + 49. Calculate the least common multiple of m and q.
21
Suppose -f + 5 + 31 = 0. Calculate the lowest common multiple of f and 29/5 + 1518/(-10) + 152.
36
Let z be (24/16)/(2/12). Suppose 567 = z*k - 1251. Calculate the smallest common multiple of 12 and k.
1212
Let s(n) = 12*n**2 - 164*n - 20. Calculate the least common multiple of (-2)/(-8) + 286/8 and s(14).
36
Let r = 6 - 3. Suppose -4*x - 25 = r*t, 2*t - x = -2*x - 10. Calculate the common denominator of t/72*-201*1 and 101/10.
40
Let j be ((-16744)/10 - 6)*(-1)/(-2). Let u = j + 852. What is the common denominator of u and -91/6?
30
Suppose s - v = 51, 50 = -s - 4*v + 116. What is the lowest common multiple of s and 126?
378
Suppose -3*x = -6*x + 3*q + 66, -4*x - 3*q = -74. Suppose -7*a + 3*a = -x, -41 = -u - 5*a. Calculate the lowest common multiple of (-2)/(-4)*(5 - -39) and u.
176
Suppose 0 = -2*t - 3*h - 23, 5 = t - 3*h - 6. Let f = 5 - t. Calculate the common denominator of -32 and (-177)/f*(-3)/28.
28
Suppose -4*u + 4*h = -548, -4*u + 2*u - 2*h + 266 = 0. What is the lowest common multiple of 200 and u?
5400
Let h(g) = -4*g + 76. Let z be h(24). Calculate the smallest common multiple of 95 and -2 + 3 - -5*z/(-50).
285
Let b = -165/1097 + -82915/579216. What is the common denominator of -131/880 and b?
2640
Let p(k) = k**3 + 32*k**2 + 61*k + 39. Let q(i) = i**2 + 13*i - 30. Let v be q(-13). What is the lowest common multiple of p(v) and 74?
666
Let p be (-700)/399*(-1)/2. Let o = p + -643/76. Calculate the common denominator of (582/30)/(-2 - 4) and o.
60
Let z be (-7 - 183999/24) + -6. Let q = -7689 - z. Calculate the common de