 the remainder when n is divided by c?
12
Let b be (-1)/(1/2) + (-30)/(-3). Let l be (-28)/(-16) + 2/b. Suppose -2*q + 20 = 3*s, 22 = l*q + 6*s - 4*s. Calculate the remainder when q is divided by 7.
6
Let f(l) be the second derivative of 5*l**3/6 - l**2 + 122*l. Calculate the remainder when 139 is divided by f(4).
13
Let k = -36 + 46. Suppose k*m - 3 = 27. Suppose -m*c + 2*h + 33 = 0, -3*c - h - 2*h + 48 = 0. Calculate the remainder when 75 is divided by c.
10
Suppose -13*q - 1000 = -9*q - 4*l, 5*q + 5*l + 1280 = 0. Let m = q - -268. Calculate the remainder when 19 is divided by m.
4
Let c = 747 - 725. Calculate the remainder when 303 is divided by c.
17
Let q = 5289 + -5247. What is the remainder when 585 is divided by q?
39
Let w = -155 - -399. Calculate the remainder when w is divided by 86.
72
Let k be ((-87)/(-9))/1 - (-1)/3. Let j be 4/k - (-40)/25. Suppose -3*d = -2*c - 8*d + 5, d = -j*c + 25. Calculate the remainder when 102 is divided by c.
12
Calculate the remainder when 941 - (9/(-30))/(21/(-140)) is divided by 289.
72
Let a(n) be the second derivative of 5*n**4/12 - n**3/3 + 9*n**2/2 + 190*n. What is the remainder when 575 is divided by a(3)?
47
Let d = 53 + -46. Let x(c) = -13*c**2 - 11. Let y be x(d). What is the remainder when 6/(1 - -1) - y/24 is divided by 8?
6
Let b be (3/2 - 2)/((-5)/1100). Suppose -2*p = -2*x - 0*p + b, 307 = 5*x + 3*p. What is the remainder when x is divided by (-3087)/(-99) + 4/(-22)?
28
Suppose -5*d = 5*d + 860. Let c = d + 111. Suppose -2*m - 9 = -c. What is the remainder when 39 is divided by m?
7
Let o(a) = -116*a + 222. Calculate the remainder when 141 is divided by o(1).
35
What is the remainder when (-3 - 51/(-15))*((-48)/(-3) + 1849) is divided by 13?
5
Let c(q) = 22*q + 2*q**2 - q**3 - 8*q - 19*q - 10*q - 17 - 13*q**2. Calculate the remainder when c(-10) is divided by 3.
0
Let y = -33 + 38. Suppose -y*x = 3*x - 280. Suppose 5*p = 30 + x. Calculate the remainder when 36 is divided by p.
10
What is the remainder when 1487 is divided by 2/(-4)*-1*3*592/111?
7
Let n be (316 - -8)/((-6)/(-4)). Let q = n - 201. Calculate the remainder when q is divided by 7.
1
What is the remainder when (365*6*(-3)/(-75))/(78/520) is divided by 14?
10
Let q = 5474 - 5348. Calculate the remainder when q is divided by 53.
20
Let y = -326 - -370. Suppose -y*h - 990 = -59*h. Calculate the remainder when h is divided by 41.
25
Suppose -2*w - 4*w = -11637 + 11367. What is the remainder when 743 is divided by w?
23
Let k(l) be the second derivative of 57*l**5/20 + l**3/6 - l. Suppose z + 5 = 26*b - 24*b, 2 = -4*b - 2*z. Calculate the remainder when k(b) is divided by 17.
7
Suppose 5*t = 2*t + 2*b + 4, 0 = t + 3*b + 6. Suppose -6*v + 2*v - 48 = 0. Calculate the remainder when t - (-71 + v/3) is divided by 19.
18
Let s(d) = 4*d**2 + d - 4. Suppose 42*f - 45*f = -399. Let m = f + 4. Calculate the remainder when m is divided by s(3).
32
Suppose -36*h = -38*h - 184. Let t = -36 - h. What is the remainder when t is divided by 9?
2
Suppose -5*v + 2*x - 949 = -295, -2*x = -v - 126. Let d = v - -170. What is the remainder when 41 is divided by d?
3
Let r(w) = 4 - 1 - w**2 - 103*w + 89*w - 2. What is the remainder when ((-242)/(-6))/((-2)/(-6)) is divided by r(-10)?
39
Let b(a) = 5*a - 33. Let f(q) = 14*q - 100. Let g(l) = 17*b(l) - 6*f(l). Let x be g(-23). Suppose 23*o - x = 19*o. What is the remainder when 9 is divided by o?
1
Let o(m) = 698*m - 13154. Calculate the remainder when 29588 is divided by o(19).
104
Let x(v) = -v**3 - 8*v**2 - 3*v - 2. Let s be x(-3). Suppose 0 = -23*c - 9*c + 2336. Let m = s + c. Calculate the remainder when m is divided by 11.
2
Suppose 2*m - 700 = -4*f - 0*f, -2*f - 1420 = -4*m. What is the remainder when m is divided by 92?
78
Suppose 0 = 78*n - 67*n + 6600. Let a = n - -601. Calculate the remainder when 2 is divided by a.
0
Let v be (-5 - 66/(-12))/((-2)/644). Let g = -151 - v. What is the remainder when ((-30)/(-8))/(1/4) is divided by g?
5
Suppose 118*r - 123*r + 160 = 5*z, -3*z + 2*r = -86. What is the remainder when 868 is divided by z?
28
Suppose -23*y = 143 - 5. Suppose 48 = o + 2*o. What is the remainder when o is divided by (y/(-8)*2)/((-15)/(-60))?
4
Let c = -9 + 25. What is the remainder when c is divided by ((-9)/144*28)/((-1)/8)?
2
Suppose 4*p = 5*v - 130, v - 3*v - 3*p = -75. Suppose 0 = -12280*h + 12290*h - 300. What is the remainder when v is divided by h?
0
Let t = 6286 - 6127. What is the remainder when 772 is divided by t?
136
Suppose -13 = -59*a + 57*a - 3*x, -a + 10 = -2*x. What is the remainder when 877 is divided by a?
5
Let s(a) be the first derivative of 1/4*a**4 - 5*a**3 + 7*a**2 + 15*a - 5. What is the remainder when 41 is divided by s(14)?
11
Let i = -261 - -147. Let m = i + 130. What is the remainder when m is divided by 10?
6
Let b = -15658 + 15679. What is the remainder when 311 is divided by b?
17
Suppose 5*y = 3*y + 2, 359 = 5*d + 4*y. Suppose -4*f - r = -46, -4*f - 4*r + d = 19. Suppose -4*i = -3*i - 31. Calculate the remainder when i is divided by f.
9
Let c = -6746 - -6762. Calculate the remainder when 234 is divided by c.
10
Let f be (-5 - 56/(-12))*-9. Suppose -f*o + 20 = -13. Calculate the remainder when 29 is divided by o.
7
Let n(k) = -k**2 + k + 10. Calculate the remainder when 6/(25 - (-2235)/(-90)) is divided by n(0).
6
Suppose 45*b = 8*b + 74. Suppose 3*r = 2*i + 445, -4*r - b*i + 159 + 425 = 0. What is the remainder when r is divided by 37?
36
What is the remainder when (-278)/695*10/(-8) - 3586/(-4) is divided by 103?
73
Let b(w) = 0*w + 56*w**2 - 20*w**2 - 1 - w. Let n be b(-1). What is the remainder when 46 is divided by 0 + 6/9*n?
22
Let v = 4159 - 4089. What is the remainder when v is divided by 46 - 9/(36/8) - -3?
23
Let y(g) = -7*g**2 - 6 + 4*g + 6*g**2 - 3*g**3 + 2*g**3. Let m be y(-3). Suppose -5*z + 3*z + 28 = m. Calculate the remainder when z is divided by 5.
4
What is the remainder when (-1 + (-22)/6)/((-54)/81) + 1836 is divided by 186?
169
Let r = -26 + 28. Suppose 0*u - 56 = -r*u. What is the remainder when 17/((-510)/588)*20/(-8) is divided by u?
21
Let t(i) = -8 - i**2 - 7 - 6 - 10*i + 14. Let l be t(-7). Suppose l = -k + 46. Calculate the remainder when k is divided by 12.
8
What is the remainder when (-3 - 2264/(-56)) + (-3)/7 is divided by 27?
10
Let i(s) = -6*s**3 + s**2 + 3*s + 3. Calculate the remainder when i(-2) is divided by (30 - (24 + 28)) + 49.
22
Suppose -36*r - 1038 = -39*r. Let u = r + -298. Calculate the remainder when 190 is divided by u.
46
Suppose -37*x = -26*x - 11. Suppose -2*b + x = -27. What is the remainder when 165 is divided by b?
11
Let d be 9670/40 - 1/(-4). Suppose -5*k = a - d + 80, -3*k + 158 = a. Calculate the remainder when a is divided by 51.
50
Let a(p) = 447*p**2 + 22*p + 24. What is the remainder when a(-1) is divided by 115?
104
Let n(p) = 8*p - 7*p - 5*p - 13. Let s be n(-4). Suppose 48 = 5*u + 3*m, -2*m - 30 + 5 = -s*u. What is the remainder when u is divided by 4?
1
Suppose 2*m + 4*c = 120, -4*m - 268 + 520 = 2*c. What is the remainder when 180 is divided by m?
52
Suppose 0 = -52*q + 3812 + 6588. What is the remainder when q is divided by 6?
2
Calculate the remainder when 5 is divided by (259/(-37))/(21/(-15)).
0
Let s = -56 - -61. Suppose -s*v + 1390 + 975 = 0. Suppose 5*x - 2*m = -0*m + v, 0 = -4*x + 2*m + 378. Calculate the remainder when x is divided by 16.
15
Let j = 4632 + -4608. Calculate the remainder when 255 is divided by j.
15
Let v be (-1687)/(-3 - 4) - 2. Suppose 19*l - v = 141. Calculate the remainder when 239 is divided by l.
19
Let x = 595 + -219. Let j = x + -355. What is the remainder when 91 is divided by j?
7
Let s = -457 - -460. Suppose -25*j = -24*j - 4, j + 1493 = s*k. Calculate the remainder when k is divided by 20.
19
Let a be (1 - (-14)/(-3))/((-11)/33). Suppose y = -a*y + 180. What is the remainder when 27 is divided by y?
12
Calculate the remainder when 688 is divided by (5/(25/172))/((-4 + -3)/(-70)).
0
Let d = 296461 - 296255. Suppose 0 = -6*b + 4*b + 104. What is the remainder when d is divided by b?
50
Let k(p) = -8 - 14 + 2*p - 19. Let m be k(20). Calculate the remainder when 17 is divided by (100/(-30))/(m/3).
7
Let z = 38 - 27. Suppose -g = 3*b - z, 12 + 1 = 2