 + 2*a + 2 = 0. Calculate the remainder when s is divided by c.
3
Let d = 4321 + -4300. What is the remainder when 6572 is divided by d?
20
Suppose -3*p - 3*x = -7*p + 32, -5*p - 5*x = -5. Let u = 57 + -28. Calculate the remainder when u is divided by p.
4
Let m = 414 - 387. Calculate the remainder when 88 is divided by m.
7
Let r(j) = -j**3 - 7*j**2 - 14*j - 4. Let v(x) = -3*x - 35. What is the remainder when r(-6) is divided by v(-15)?
4
Let h(u) = 5*u**2 - 15*u - 5. Suppose -11 - 33 = -11*n. Suppose -4*l - n*k - 12 = -3*l, -k = l. Calculate the remainder when h(l) is divided by 4.
3
Suppose -117 = -10*x + 3. What is the remainder when 137 is divided by 3297/84 + (-15)/x + 2?
17
Suppose -8 + 0 = -2*b. Suppose 3*c = 5*u - 5, 17*c = 18*c + 4*u - 4. What is the remainder when 53 is divided by (b/(-26) - c) + 2208/156?
11
Let q(s) = -9 + 4862*s - 4884*s - 2*s**2 - 6. What is the remainder when q(-7) is divided by 15?
11
Let r(z) = -z**2 + 20*z - 20. Let j(i) = -2*i + 75 - 34 + 17*i**2 - 40. Calculate the remainder when r(9) is divided by j(1).
15
Let p(d) = 4*d**2 - 233*d - 36. Calculate the remainder when 143 is divided by p(59).
2
Suppose -p + 2*r + 917 = 0, 41*p = 45*p + 2*r - 3588. Calculate the remainder when 917 is divided by p.
16
Let f be 38/6 - (-1)/(-3). Let i(m) = -15*m + 93. Let a be i(6). Suppose f*u - 54 = a*u. Calculate the remainder when 69 is divided by u.
15
Let k = -5179 - -5469. What is the remainder when k is divided by 63?
38
Let l be (2/(-4))/(3/2)*3. Let y(a) = -12*a**2 - 3*a. Let c be y(l). What is the remainder when 4 - (126/(-4))/(c/(-18)) is divided by 14?
11
Suppose 55*u - 60*u + 71 = 2*z, -z + 3*u + 30 = 0. Let o(q) = q**3 - 4*q**2 - 2*q - 6. Calculate the remainder when z is divided by o(5).
6
Suppose 0 = -3*d - 12, -3*c + 0*c + 4*d + 220 = 0. Suppose c = 4*h - 16. Suppose 4*q = 0, -2*i + 28 = -4*q - 94. What is the remainder when i is divided by h?
19
Let t(w) = 57*w**3 + 2*w**2 + 2*w - 1. Let q be t(3). Suppose 5*i - 1561 = -v, 5*i + 48*v = 46*v + q. What is the remainder when i is divided by 35?
32
Suppose 8*x + 5758 + 7566 = 2*h, 4 = -4*x. What is the remainder when h is divided by 18?
16
Calculate the remainder when 87 is divided by (20*(-165)/(-180))/((-1)/(-3)).
32
Suppose 2*z - 201 = -209, 3*z = -3*x + 1980. Calculate the remainder when x is divided by 17.
1
Suppose -11*r - 288 = -2103. Suppose -j = -3*s + 150, 0 = -3*s - 5*j + j + r. What is the remainder when 95 is divided by s?
44
Let t(d) = 3*d + 16. Let s be t(40). Suppose 2*c - s = -8*h + 5*h, 2*c - 144 = h. Calculate the remainder when 206 is divided by c.
64
Suppose k - g - 10 = 0, -2*k - 24*g = -25*g - 19. Suppose 2*t - 180 = -3*t. Calculate the remainder when t is divided by k.
0
Let g(h) = -6*h**3 - 27*h**2 + 4*h + 3. What is the remainder when 345 is divided by g(-5)?
55
Let i(x) = -x**3 + 15*x**2 + 2*x - 1. Calculate the remainder when 2/5 - (-1915)/25 is divided by i(15).
19
Suppose 3*k + 407 = 3*g - 4*g, -419 = 3*k - 2*g. Let s = k + 152. What is the remainder when 47 is divided by s?
2
Let i(c) = 7*c**2 - 27*c + 9. Let g be i(5). Suppose -3*j + g + 104 = 0. What is the remainder when 559 is divided by j?
49
Suppose -3*l + 311 = -5*s, 50 = 2*l - 5*s - 154. What is the remainder when 390 is divided by l?
69
Suppose -4*u - 4*g = -4416, -10*u + 13*u - 3*g - 3306 = 0. What is the remainder when u is divided by 158?
155
Let s = -160 - -166. Suppose -40 = -s*c + 20. What is the remainder when 127 is divided by c?
7
Let h(q) = 161*q**2 - 2*q - 1. Suppose -4*v + 4*r - 8*r - 16 = 0, -5*r = -5*v + 30. Calculate the remainder when h(v) is divided by 20.
18
Let b = 215 - 220. Let y(q) = -15*q - 45. What is the remainder when 116 is divided by y(b)?
26
Suppose 5*x - 2*l - 431 = 0, 10*x + 384 = 14*x + 4*l. Calculate the remainder when 2151 is divided by x.
15
Suppose 4*z = 5*m - 1823, -50 = -m - z + 320. What is the remainder when m is divided by 94?
85
Let y = 1 + 9. Suppose -2*n = 5*b - 12 + 2, -2*n - 3*b = -y. Suppose -n*v + c = -3*c - 99, -4*v = c - 75. Calculate the remainder when 36 is divided by v.
17
Suppose -5*l + 2*g + 520 + 125 = 0, g - 122 = -l. What is the remainder when l is divided by 40*((-4)/(-3))/((-10)/(-12))?
63
Let g = -506 + 1262. What is the remainder when g is divided by 20?
16
Let c = 5105 - 5083. What is the remainder when 348 is divided by c?
18
Let j(u) = 2*u**2 + 4*u - 8. Suppose -2*z + 59 + 67 = 0. Let x = z + -42. What is the remainder when j(-6) is divided by x?
19
Let x = -223 - -221. Let s(r) = r**2 + 4*r + 7. Let l be s(-3). What is the remainder when x/l - (-232)/16 is divided by 11?
3
Suppose 5*m - 3*k = 3*m, 0 = 4*m + 3*k. Suppose -5*y - 2*r + 86 = m, -y + 5*y = -4*r + 76. Calculate the remainder when 74 is divided by y.
10
Let c = -56 - -80. Let b = -1443 - -1488. What is the remainder when b is divided by c?
21
Let l(b) = -31*b - 15. Let f be l(6). Let w = f + 388. Calculate the remainder when w is divided by 19.
16
Suppose 5*u = 4*h + 4802, -4*u - 42 + 3886 = -4*h. Calculate the remainder when u is divided by 24.
22
Let a = 164 - 152. Suppose -a*x + 171 - 75 = 0. What is the remainder when 37 is divided by x?
5
Suppose -i + 3*i = -10, 3*i - 181 = -4*k. What is the remainder when 447 is divided by (-10)/(70/k) + 16?
6
Let z(v) = 2*v**2 + 5*v - v**2 + 3*v**2 + 4*v**2 - 5 + v**3. What is the remainder when 23 is divided by z(-7)?
5
Let z(n) = -48 - 32 - 92*n + 114 - 67. Calculate the remainder when z(-2) is divided by 19.
18
Let d(z) = 4*z**2 - 26*z + 9. Suppose -2*i + 5*s + 16 = 0, -4*s + 40 = 5*i - 0*s. Calculate the remainder when d(i) is divided by 49.
8
Suppose 6*a = 5*a + 22. Suppose -4*k + 34 = -3*j, 2*j = 4*k + 5*j - a. Let x = 407 - 374. What is the remainder when x is divided by k?
5
Suppose -497*z = -437*z - 780. Calculate the remainder when 863 is divided by z.
5
Let u = 306 - 212. Suppose 22 = 2*g - 2*c, 5*c + 27 = 2*g + 8*c. Calculate the remainder when u is divided by g.
10
Let r(w) = 10*w**2 - 221*w - 63. Calculate the remainder when r(23) is divided by 118.
26
Suppose 17 + 29 = 3*s - 4*b, 5*b - 25 = 0. Suppose -25*k + 29*k = -732. Let t = 291 + k. What is the remainder when t is divided by s?
20
Let p = -24 + 4. Let s = p + 23. Let m(w) = 5*w**2 - 5*w + 2. What is the remainder when 94 is divided by m(s)?
30
Suppose k + 2*t = 7, -10 = 2*k + 13*t - 17*t. Let p(d) = 170*d**2 + 19*d - 16. Calculate the remainder when p(k) is divided by (-3)/2*(-32)/3.
13
Let u be ((-42)/(-15) + -2)*5. Suppose 10 = 6*q - u*q. Suppose -i = -68 - q. What is the remainder when i is divided by 13?
8
Let y(n) = -n**3 - 15*n**2 + 52*n + 44. Calculate the remainder when y(-19) is divided by 97.
15
Let c = 13430 + -13146. Calculate the remainder when 783 is divided by c.
215
Suppose 4*h - 19 = -3. Suppose 793 = 5*t - 6*a + 4*a, -4*t + 632 = -h*a. Calculate the remainder when t is divided by 34.
23
Let j(c) = -26*c + 47. Let f(z) = 22*z - 47. Let s(l) = 3*f(l) + 2*j(l). What is the remainder when 125 is divided by s(5)?
10
Let s = -704 + 706. What is the remainder when 16 is divided by s?
0
Suppose 1543 = 68*q - 921 - 120. Calculate the remainder when 164 is divided by q.
12
Suppose 16*k - 35350 = -19*k. What is the remainder when k is divided by 221?
126
Let l(w) = -19*w + 39. Let i = -150 + 147. Calculate the remainder when l(i) is divided by 35.
26
Calculate the remainder when 46 is divided by (-174)/(-36) + 12 + 0 - 1/(-6).
12
Suppose 5 = -5*z + 30. Suppose -5*q + z*f + 7 = -13, -f = q + 2. Suppose -l - 6 = 4*t, l - t - q = 18. Calculate the remainder when 55 is divided by l.
13
Let k = -3498 + 3527. Calculate the remainder when 457 is divided by k.
22
Let m(r) = 8*r - 138. Calculate the remainder when 388 is divided by m(18).
4
Let t = 8 - 5. Suppose 50 = 5*p - t*g - 90, 25 = -5*g. Let m(c) = -c**3 - 9*c**2 + 30*c - 24. What is the remainder when m(-12) is divided by p?
23
Let m = -2803 + 2826. Calculate the remainder when 49 is divided by m.
3
Let q(l) be the third derivative of l**4/24 + 2*l**3/3 - 10*l**2. Let i be q(-14). Calculate the remainder when -2*(1 - (-205)/i) is divided by 21.
18
Let p be (-1 + 6)*(-46)/(-46). Let s(d) = d**3 - 3*d**2 - 2*d - 17. What is the remainder when s(p) is divided by 8?
7
Let i(c) = 2