016. Calculate the smallest common multiple of p(1) and 635.
635
Let m = 17686/3 - 212105/36. Calculate the common denominator of (1544/72 + -19)*6/32 and m.
72
Suppose -3*l + 2*x - 72 + 22 = 0, 3*l - 4*x + 46 = 0. What is the smallest common multiple of 5 and (-26)/(-4) + (-18)/12 - l?
115
Let j(v) = -57*v + 210. Let z be j(5). Let g = -1784 - -3471/2. What is the common denominator of g and (115/z)/((-18)/(-27))?
10
Let y = 595 - 535. What is the common denominator of ((-26)/y)/(26/455) and (-167)/120 + (-4)/10?
24
Suppose -y + 5*a - 625 = -594, 3*y - a = 5. Suppose -12*v = -9*v - 12. Calculate the lowest common multiple of v and y.
4
Let v = 20 - 0. What is the smallest common multiple of v and 4/10 - 21/((-1890)/774)?
180
Find the common denominator of -1/128 and (((-100)/(-800))/(200/38 + -2))/(-5).
19840
Let d(y) = -10*y**3 - y - 2. Let m = 55 - 56. Let b be d(m). What is the lowest common multiple of 4 + -1 - (1 - b - -3) and 3?
24
Suppose -4*i + 17 = -159. Let f be 15 + (4/12)/((-1)/9). Suppose 2 = q, 8*k - f*k + 174 = -q. Calculate the least common multiple of i and k.
44
Let q be (-431)/4 - 6/24. Let x = 1182 - 1272. Let t = x - q. Calculate the smallest common multiple of 4 and t.
36
Let l = -50202 + 4016273/80. What is the common denominator of l and 1/(-48)*(-1159)/760*-12?
160
Let g = 590921/1034408 + -588/1333. What is the common denominator of 19/582 and g?
2328
Suppose 0 = 117*j - 606 + 372. Suppose -2*c + 18 = -2*a, 4*a + 22 + 13 = 3*c. Let u = 9 + a. What is the smallest common multiple of u and j?
2
What is the common denominator of 43/314 and 26/4*660/(-12540)?
5966
Let r(f) = -3*f**2 + 21*f + 61. Let y be r(-13). Let j = y - -935. Calculate the least common multiple of j and 6.
216
Suppose 4*g + 0*g - 60 = 0. Let b be (-94)/(-6)*g/5. Let c = 49 - b. Calculate the smallest common multiple of c and 14.
14
Let t = 619 + -523. Suppose 10*i = -2*i + t. What is the least common multiple of i and 20?
40
Let x be 58/174 - 75587/(-85440). Let b = 49/445 + x. Find the common denominator of 95/8 and b.
64
What is the smallest common multiple of (-207)/(-621) + (-1 - 33)/(6/(-157)) and 890?
890
Let y(j) = -j**3 - 9*j**2 - 2*j - 7. Let d be y(-9). Suppose d*s - 84 = 8*s. Let v = s + -26. What is the smallest common multiple of 8 and v?
8
Let a = -12076930 - -386520699/32. Let y = 240 - 2085. Let x = a + y. Calculate the common denominator of x and -17/18.
288
Calculate the common denominator of (-9310)/(-4500) - (-88)/(-44) and -49/1700.
15300
Suppose 18*g = 9172 + 1376. Suppose 0 = -p - 2*j + 67 + 39, 0 = -5*p + 4*j + g. Calculate the least common multiple of p and 6.
114
Let q = -38539/1425 + 506/19. Let z = 452917/36 - 12582. Calculate the common denominator of q and z.
900
Let r = 814213 - 807699229/992. Calculate the common denominator of 69/1240 and r.
4960
Let f(b) = -5*b - 12. Let w be f(-2). Let l be (-103 + 1*w)*(0 + -1). What is the common denominator of -56/3 and 2/(-5) - (-442)/l?
21
Let d(k) = k**3 - 3*k**2 + 2*k - 1. Let u be d(2). Let q(f) = -24*f + 2. Let l = 9 + 11. What is the lowest common multiple of q(u) and l?
260
Suppose 0 = -4*z + 5*f + 279, -356 = -5*z - 0*f - f. What is the smallest common multiple of z and 2 - (2/8 - 222/24)?
781
Let x = 13584 + -8898. What is the smallest common multiple of x and 33?
4686
Find the common denominator of 55/62 and 1749/(-880) - (-4 + (2 + -4 - -4)).
2480
Let d = -25904 - -25953. Calculate the least common multiple of d and 477.
23373
Find the common denominator of 11/(-2904)*39/12*6 and ((17/3 + 8)/(-2))/((-40)/(-3)).
880
Let n = -7 - -12. Suppose -3*f + 4*m + 21 - n = 0, -m = 3*f + 4. Find the common denominator of 32/9 and (-63 - f)/(4 + -5 + -4).
45
Suppose 22 = g + 10. Let s be 4/g + 74*(-25)/5532. Let p = s - -29511/6454. Find the common denominator of p and 14/15.
105
Let n = -46 + 42. Find the common denominator of (-3)/(-168)*2/n and 0 - -2 - (-142)/(-20).
560
Let h = -2344/71 - -1049187/31666. Calculate the common denominator of 24/5129 and h.
10258
Suppose 0 = -578*b + 574*b + 988. What is the common denominator of b/140 - 19/(-95) and 133/6?
84
Let d = 7325 - 13646. Let c = d + 63297/10. Let z = 590 + -1199/2. Find the common denominator of z and c.
10
Find the common denominator of 53/1490 and (20672/(-306) - -50)/((-2980)/(-3)).
4470
Let b be 4649936/(-390) - (-13)/((-845)/10). Let t = b - -11918. What is the common denominator of t and 2/6 + (-30)/(-22)?
165
Let c = 2923 - 2921. Calculate the least common multiple of c and 255.
510
Let t(q) be the second derivative of q**4/12 - 2*q**3 - 4*q**2 + 32*q. Let w be t(10). Let c = 56 + w. What is the least common multiple of 36 and c?
252
Calculate the common denominator of (-16)/80 + (-20)/30*(-1338)/(-40) and -89/52.
52
Let c = -70 + 100. What is the lowest common multiple of c and 9/(-1)*(-12)/48*20/3?
30
Let q(s) = s. Let a be q(-2). Calculate the common denominator of (-34 + 29)*(-3)/(-6)*(-42)/40 and (a - (0 + -5))/2.
8
Suppose 2*a = -0*a + 68. Let h = -1061 + 1069. Calculate the lowest common multiple of a and h.
136
Let j = -79 + 78. Let m(c) = -c**3 - c**2 - c + 6. Let v be m(0). What is the least common multiple of (-3 - (j + v))/(-2) and 14?
28
Calculate the common denominator of -163/510 and (3412/1870 - 2)*135/(-162).
5610
Let l = -8228 + 8348. What is the lowest common multiple of l and 1075?
25800
What is the common denominator of -83/24 and (-80)/1280 - (-1)/((-69792)/(-6122))?
17448
Let b = 453/26 + -6641/364. What is the common denominator of (-274)/(-959) + (-311)/(-112) and b?
112
Let u = 17/6 + -313/147. Calculate the common denominator of 139/2058 and u.
2058
Let q be 50/15 + -2 - (-56)/3. Suppose -123 = -3*h + m, m = -3*h + 137 - q. What is the smallest common multiple of h and 10?
40
Suppose 4*t = -4*b + 3328, -4172 = -5*b + 390*t - 392*t. What is the least common multiple of b and 5?
4180
Suppose -2*n = 3*x - 20, 3*x + n + 16 = 8*x. Suppose -3*o + 181 = -x*y, -138 = 4*y - y - 3*o. Let l = 49 + y. What is the smallest common multiple of 10 and l?
30
Suppose 0 = h - 0*h. Let k = 50083 - 50082. What is the lowest common multiple of 1/(h + (-3)/(-33)) and k?
11
Let x(h) = -h**2 - 19*h + 10134. Calculate the smallest common multiple of 144 and x(-105).
3312
Let k(b) = 5*b**2 - b + 2. Let o(c) = 373*c - 10424. What is the smallest common multiple of o(28) and k(2)?
20
Let i = 97 + -116. Suppose -3*w + 3*m = -96, 0 = -2*m + 6*m + 8. Calculate the lowest common multiple of w and 35 + (-4 - i)/(-3).
30
Let h(f) = 52 - 18*f - 6*f + 0*f**2 + 17*f - f**2 + 0*f**2. What is the least common multiple of 8 and h(-11)?
8
Let y(j) = 24*j**2 + 27*j - 12. What is the smallest common multiple of 2288 and y(-4)?
6864
Suppose -25*n + 23*n = -16. Let w = -81 + -40. Let c = w + 253. What is the lowest common multiple of c and n?
264
Let c = 22417/6330 + -276/211. What is the common denominator of -5/333 and c?
3330
Let a = 165/97 + -311/582. Calculate the common denominator of 13/138 and a.
138
Let n be (-870)/(-40) + (-1)/(-4). Suppose 0 = -b + 2*b - n. Suppose 41*f = 44*f - 30. What is the least common multiple of b and f?
110
Let j(l) = -l**3 + 10*l**2 + 10. Let d be j(10). Suppose -d*k + 5 = -5*k. Calculate the least common multiple of (3*k/(-6))/(1/(-2)) and 6.
6
Suppose -5*y - 3*a - 30 = 0, -2*y - 7*a - 31 = -2*a. Calculate the common denominator of y - -3 - (-38)/(-36) and 89/34.
306
Let r(z) = z**3 + 8*z**2 - z + 77. Calculate the least common multiple of r(-9) and 35.
35
Calculate the common denominator of (-47)/(1269/18) - 1981/(-3480) and 7/58.
1160
Let j = 26 - 26. Suppose j = -2*h - 11*h - 962. Let n = h - -128. What is the lowest common multiple of 2 and n?
54
Let v(i) = -125*i**2 + 890*i + 19. What is the smallest common multiple of v(7) and 14?
868
Let b = -24950197/6328 + 4311/791. Let k = -3932 - b. Calculate the common denominator of k and 29/83.
664
Let i = 125 - 126. What is the common denominator of ((-50)/200)/(i + 38/42) and 71/52?
104
Let p(y) = 4*y**3 + 87*y**2 - 25*y - 48. Let l be p(-22). Let i be 2 + 3*(-8)/(-3). Suppose l = s + i. Calculate the smallest common multiple of 5 and s.
40
Suppose -2*a + 70 = 12*a. What is the common denominator of -79/6 and 3097/(-304) + 1*a?
48
Let z(l)