
41
Let i(y) = -4*y**2 + 40*y + 17. Let r be i(7). Suppose -k + 5 = -r. Calculate the remainder when k is divided by 45.
16
What is the remainder when ((8/(-84))/((-2)/(-6)))/((-112)/61936) is divided by (5 - -1)*(-3 + 70/6)?
2
What is the remainder when 89114/51 - ((-7)/(-3) - 2) is divided by 19?
18
Let q = 490 - 493. What is the remainder when ((-14)/q)/(37/888) is divided by 31?
19
Let b(q) = 1480*q - 746*q + 60 - 765*q. Calculate the remainder when 170 is divided by b(1).
25
Let r be 31/4 + 1/4. Let m(x) = 2169 - 11*x**3 + 11*x - 4338 + 10*x**3 + 8*x**2 + 2182. Calculate the remainder when m(r) is divided by 8.
5
Let i = 2532 - 1451. Suppose 20*o = -201 + i. Calculate the remainder when 306 is divided by o.
42
Let l(m) = m**2 - 3*m - 16. Let g = 45 - 41. Let z be (g - 7)/12 - 66/(-8). What is the remainder when 93 is divided by l(z)?
21
Suppose 4 = -s + 2*z, 28 = 10*s - 6*s + 3*z. Suppose -7*h + 8*h + 167 = s*r, -h - 125 = -3*r. What is the remainder when r is divided by 25?
17
Let r(p) = 3*p**2 - 131*p - 7. Calculate the remainder when r(-7) is divided by 38.
31
Let r(d) = 11*d**3 + 9*d**2 + 96*d - 906. Calculate the remainder when r(12) is divided by 56.
54
Let o = 762 - 572. What is the remainder when ((-24)/(-3))/(10/o) is divided by 81?
71
Suppose 20*j = 24*j - 204. Suppose -18 = -v + j. What is the remainder when v is divided by 10?
9
Let w be (30/25)/(-1*(-1)/(-230)). Calculate the remainder when (((-22)/(-8))/1)/((-23)/w) is divided by 18.
15
Let w be 2/6 - (-1102)/6. Suppose 324 = 2*a - w. Let i = -2234609 - -2234660. Calculate the remainder when a is divided by i.
50
Let r be 8/6*225/50. Calculate the remainder when (306/15)/(r/20) is divided by 23.
22
Let d(v) be the first derivative of -7*v**2 - 29*v + 3. Let g(s) = s. Let m(h) = d(h) - 3*g(h). What is the remainder when m(-9) is divided by 18?
16
Suppose -5*r - 33 = 2*p + 77, -3*p = 2*r + 176. Let g be 10/(-3)*(-288)/p. What is the remainder when 74 is divided by -1*(g - 6/2)?
17
Let a = 74 - -72. Let k = a + -134. What is the remainder when k is divided by 7?
5
Suppose 4*m - 84 = -2*m. Let k(b) = b + 108. What is the remainder when k(-39) is divided by m?
13
Let g(l) = -11*l**3 + 2*l**2 + 45*l + 202. What is the remainder when g(-4) is divided by 38?
36
Let a be ((-275)/(-10))/((-6)/(-12)). Calculate the remainder when 40 is divided by -7 + a/5 + 16.
0
Suppose 4*p + 5*q = 72, 2*q - 3*q + 111 = 5*p. Calculate the remainder when 196 is divided by p.
12
Let v = 34461 + -34423. Calculate the remainder when 2667 is divided by v.
7
What is the remainder when (-1)/(-25 - (-154652)/6187) is divided by 152?
117
Let s = -65 + 71. Let w(b) be the first derivative of b**4/4 - 5*b**3/3 - 5*b**2/2 + 7*b - 1. Calculate the remainder when 23 is divided by w(s).
10
Let w = -2127 + 2162. Calculate the remainder when 112 is divided by w.
7
Let f = 15 - 11. Suppose 0 = f*q - d - 7, 2*q + 9 = 2*d + d. What is the remainder when -29 + 58 + -2*3 is divided by q?
2
Calculate the remainder when (-3)/9*33 - -51 is divided by 4.
0
Suppose 0 = 292*c - 310*c + 2556. Suppose 0 = -3*x - 7*x + 130. What is the remainder when c is divided by x?
12
Let o(c) = 2*c**2 + 38*c + 33. Let r be o(-19). Suppose -27*y + r*y = 834. Calculate the remainder when y is divided by 61.
17
Suppose -751 - 437 = -30*q + 3*q. Let w(p) = 2*p**2 - 11*p + 1. Calculate the remainder when w(-8) is divided by q.
41
What is the remainder when 231 is divided by -6 + 104/(-13) - -156?
89
Let h be (-28)/4 + 516/3. Let q = h + 207. Calculate the remainder when q is divided by 19.
11
Calculate the remainder when 2175 is divided by (-1085)/(-341) - (2 - -1) - (-5142)/33.
147
Suppose -7590 = -232*c - 98*c. Calculate the remainder when 112 is divided by c.
20
Let f = -2169 + 2487. Calculate the remainder when 325 is divided by f.
7
Let p be 4 - ((-3)/(-1) + 4). Let l be 3/p*3 - -1. Let n(f) = 33*f**2 + 4*f + 5. What is the remainder when n(l) is divided by 33?
30
Let y(j) = -j**3 + 2*j**2 + 13*j + 9. Let u be y(-5). Calculate the remainder when 59 is divided by 2227/u - (-4)/14.
2
Let s = -45 - -47. Suppose d = -s*y - 14, -2*d = y + y + 20. Let l(j) = 3*j**2 + 2*j - 14. Calculate the remainder when l(d) is divided by 14.
12
Let p(b) = -76*b + 1195. What is the remainder when p(-4) is divided by 50?
49
Calculate the remainder when (2*-1 + 532)/(4 + -3) is divided by ((-89)/(-9))/((-44)/(-396)).
85
Let s = -1002 + 1268. Calculate the remainder when s is divided by 23.
13
Let t = -12415 - -13560. Let o(d) = d**2 - 13*d - 20. What is the remainder when t is divided by o(16)?
25
Let l(x) = 639*x**2 + 6*x - 4. Let f be l(1). Let a = 677 - f. What is the remainder when 68 is divided by a?
32
Suppose -611 = -5*n + 629. What is the remainder when n is divided by (55/3 - (-922 - -942))/((-15)/252)?
24
Let y be (5/3)/(-2 - 28/(-12)). Suppose 6*j - j - 110 = -y*s, 2*s - 2*j = 24. Calculate the remainder when 152 is divided by s.
16
Let h = -39311 - -39585. What is the remainder when h is divided by 31?
26
Let w = 6434 + -5859. What is the remainder when 1726 is divided by w?
1
Suppose -77984*q + 77955*q + 22243 = 0. What is the remainder when q is divided by 55?
52
Suppose t - 5*d - 1 = 0, -113 = -5*t + 22*d - 24*d. What is the remainder when 50 is divided by t?
8
Let g = 728 - 462. What is the remainder when g is divided by 63?
14
Let h(z) = 5*z**2 - 4*z - 6. Let u be h(-1). Calculate the remainder when 177 is divided by -2 - -1 - (-310)/10 - u.
15
Let n(f) = 21*f**3 - 10*f**2 - 8*f - 5. What is the remainder when 896 is divided by n(3)?
0
Suppose -p - 5*q - 141 = -5*p, -q - 5 = 0. Let s(c) = -280*c - 1344. What is the remainder when s(-5) is divided by p?
27
Let c(h) = 10147*h**3 + h - 4*h + 4*h**2 - 4 + 2 - 10060*h**3. What is the remainder when c(1) is divided by 9?
5
Let i(p) = -p**2 - 6*p + 2. Let z be i(-6). Suppose 69 = z*d - 3. Calculate the remainder when (1 + (-22)/4)/((-57)/2242) is divided by d.
33
Suppose 3422*b - 3401*b - 945 = 0. What is the remainder when 224 is divided by b?
44
Let v = -7752 + 9176. What is the remainder when v is divided by 161?
136
Let j(o) = -o**3 - 27*o**2 + 28*o - 7. Let x be j(-28). Let n be (-1)/x - 6678/98. Let l = n + 84. What is the remainder when l is divided by 6?
4
Suppose 5597 = 100*m - 99*m + 3*g, 27857 = 5*m - g. Calculate the remainder when m is divided by 143.
139
Let o(p) = -p**2 - 6*p - 4. Let m be o(-3). Let y be 24/(-20)*m*(-2 - -1). Calculate the remainder when 34 is divided by ((-9)/(-6))/(y/76).
15
Suppose 0 = -4*h + l + 468 + 104, -5*h + 698 = 3*l. Calculate the remainder when 564 is divided by h.
138
Let t(a) = -a. Let k be t(-5). Let i(f) = -f**3 + 7*f**2 - 5*f - 4. Let w(b) = -b**2 + 683*b - 14530. Calculate the remainder when i(k) is divided by w(22).
9
Calculate the remainder when 142 is divided by 3868/76 - (9 - (-519)/(-57)).
40
Suppose -l + 6 = -0*l. Suppose -c = -16 + l. Calculate the remainder when 5746/153 + (-12)/(-27) is divided by c.
8
Suppose 3*r - 8*r + 110 = 5*g, -3*r + 89 = 4*g. Calculate the remainder when g is divided by 12.
11
Let p = -6903 + 6926. Calculate the remainder when 8069 is divided by p.
19
Suppose 2*f + 2874 = 2876, 526 = y + 4*f. Calculate the remainder when y is divided by 15.
12
Suppose 0 = 2*u - 4*k - 184, 2*k - 123 = -4*u + 265. Let j(c) = 3*c - 5. What is the remainder when u is divided by j(10)?
21
Suppose 0*v + 66 = v - 4*g, -5*g = v - 111. Let a = 103541 - 103531. Calculate the remainder when v is divided by a.
6
Suppose -2*y - q + 10377 = 0, 3819*q - 3824*q = 25. Calculate the remainder when y is divided by 288.
7
Let o = -34499 - -34618. Calculate the remainder when 887 is divided by o.
54
Let j(o) = -o**3 + 8*o**2 + 2*o - 17. Let m(z) = 2*z + 16. Let l be m(-4). Let x be j(l). Calculate the remainder when 2/(-2) - (-38 + x) is divided by 21.
17
Suppose 290 = 5*q - 645. Let c = q + -90. Let g(r) = -r**2 + 640*r - 15937. Calculate the remainder when c is divided by g(26).
16
Let w(h) = 30*h**2 - 13*h - 13. Let n be w(-1). What is the remainder when 35 is divided by 760/75 - 4/n?
5
Let s(a) = a**2 + 48*a + 1040. What is the remainder when s(-51) is divided by 46?
43
Suppose 20*k - 22*k + 498 = 0. Let m = 262 - k. Calculate the remainder when 36 is 