p = -x*s + 36. Calculate the remainder when 23 is divided by s.
9
Suppose 4*p + 3*s - 13 = 137, -5*p + 186 = 3*s. Suppose -5*r - r = -p. What is the remainder when 22 is divided by r?
4
Suppose 214 = 4*u - 2*o - 12, -180 = -3*u - 2*o. Let c(d) = 3*d**3 + 13*d**2 + 60. Calculate the remainder when u is divided by c(-5).
8
What is the remainder when -3*(3 + -4) - (-148)/1 is divided by 48?
7
Let u = 103 + -50. Suppose 4*f + 2 = 5*f. Suppose -4*k + 7*n = f*n - u, 0 = -4*k - n + 71. What is the remainder when k is divided by 10?
7
What is the remainder when 109 is divided by (-9)/((-585)/920) + (-10)/65?
11
Let g = 159 + -175. Suppose 4*d + 12 = 116. Let s = g + d. What is the remainder when 17 is divided by s?
7
Suppose t + 5 - 2 = 0, -2*q = 5*t - 121. Suppose 5*s - q = s. Let l(d) = -d**2 + 65*d - 120. Calculate the remainder when s is divided by l(63).
5
Suppose 45 = -2*m + 7*m. Let a(i) = m*i + 26*i + 3*i. Calculate the remainder when a(1) is divided by 13.
12
Let a = -2417 + 3775. Calculate the remainder when a is divided by 34.
32
Let m = 167 - 108. Let p(g) = -g**3 - 2*g**2 - 5*g - 4. Calculate the remainder when m is divided by p(-3).
19
Suppose 386 = 43*l + 85. Suppose -4*g + 215 = 55. What is the remainder when g is divided by l?
5
Let v = -33 + 46. Suppose -p + v = y, -p - 1 = 1. What is the remainder when y is divided by 4?
3
Suppose 4*b = 365 + 151. Calculate the remainder when b is divided by 119.
10
Let s(y) = 8*y**2 - 2*y - 1. Let m be s(2). Let f(u) = -u**2 + m*u**3 - 26*u**3 - 2 - 3*u**2 + u. Calculate the remainder when 6 is divided by f(4).
0
Let g(q) = q**3 - 7*q**2 + 8*q - 15. Let c be g(6). Let w = -1 + 13. What is the remainder when w is divided by -2*(c - (-2 - -3))?
4
Suppose 0 = -15*g + 17*g - 8. Calculate the remainder when 6 - (0 - (2 - 1)) is divided by g.
3
Let g(y) = 2*y**3 + 18*y**2 + 14*y + 29. What is the remainder when 89 is divided by g(-8)?
44
Calculate the remainder when (-1 - 1) + 33 + 19 is divided by 39.
11
Suppose 2*n - 19 + 15 = 0. Suppose -n*m + 6 = -22. What is the remainder when 165 is divided by m?
11
Let z be 3/(-9) - (-222)/18. Let d be (0 + -1)*z/2. Calculate the remainder when d/(-21) - 976/(-14) is divided by 18.
16
Suppose -20*s + 851 - 111 = 0. What is the remainder when 277 is divided by s?
18
Suppose c + c + o - 52 = 0, -5*o = 3*c - 85. Calculate the remainder when 423 is divided by c.
23
Let v(b) = -260*b - 1. Let h be v(-1). Suppose 3 = -2*l + h. Let s = l - 87. What is the remainder when s is divided by 14?
13
Suppose -16*w - 130 = -14*w. Suppose 0*u = 2*u - 238. Let c = w + u. Calculate the remainder when c is divided by 14.
12
Let z = -1498 + 1557. Calculate the remainder when z is divided by 24.
11
Suppose -m + 2*m = 4, 3*m + 440 = 2*y. Suppose 7*x - 4*x = 5*z - 345, -3*z - 2*x = -y. Calculate the remainder when z is divided by 15.
12
Suppose 18*w - 40 = 13*w. What is the remainder when 156 is divided by w?
4
Let l(f) = -6*f + 1. Let g(n) = -17*n + 4. Let s(z) = -4*g(z) + 11*l(z). Let i(w) = -7*w + 99. What is the remainder when i(13) is divided by s(4)?
2
Let a(y) = y**3 - 20*y**2 - 62*y - 18. What is the remainder when a(23) is divided by 68?
7
Let u = -4 - -22. What is the remainder when 3*(-11 - 744/(-36)) is divided by u?
11
Let v = -1354 - -1356. Suppose 0 = -3*y + 3*s + 33, -3*y - 5*s + 25 = -0*s. Calculate the remainder when y is divided by v.
0
Suppose 44 = 5*w + g, 2*g = -g - 3. Let t(f) = 12*f - 2. Let y be t(1). What is the remainder when -2*(-17)/y*5 is divided by w?
8
Suppose 13*s - 1558 + 154 = 0. Calculate the remainder when s is divided by 34.
6
Let t = -1607 - -1720. What is the remainder when 347 is divided by t?
8
Suppose 5*s - b = -3*b - 248, -4*b = 5*s + 246. Calculate the remainder when (1 - (-98)/(-10))/(5/s) is divided by 18.
16
Suppose 3*w + 2*s + 119 = -123, 4*w + 320 = -2*s. What is the remainder when (-5 - 0/1)*-5 is divided by (6/(-9))/(4/w)?
12
What is the remainder when 195 is divided by (-108)/198 - (-336)/11?
15
Calculate the remainder when ((-12)/2)/(-2*(-18)/(-264)) is divided by 16.
12
Suppose 0 = 10*x - 11*x + 6. Let z = 13 - 4. Calculate the remainder when z is divided by x.
3
Let o(u) = u. Let b be o(-1). Let j(v) = 13*v**2 + 2*v + 1. What is the remainder when (-35 - 0)/(2/(-2)) is divided by j(b)?
11
Let t(l) = -l**3 + 8*l**2 - 11*l - 6. Calculate the remainder when t(5) is divided by 10.
4
Suppose -24 = 8*c - 80. What is the remainder when 58 is divided by c?
2
Let h = -222 - -245. Calculate the remainder when 89 is divided by h.
20
Suppose -o = 3*o - 24. Let x be (-3)/(-2) + (-18)/(576/(-944)). Suppose o*l - 5 - x = 0. Calculate the remainder when 22 is divided by l.
4
Let i(y) = -y + 9. Let v be i(5). Let b = 10 + v. Let q = 35 - b. Calculate the remainder when q is divided by 11.
10
Let w = -1200 + 1209. Calculate the remainder when 629 is divided by w.
8
Suppose -4*y + 1395 = 5*w, 10*w = 13*w - y - 854. Calculate the remainder when w is divided by 29.
22
Suppose 27*i - 165*i + 138 = 0. Let d = -3 - -8. What is the remainder when d is divided by i?
0
Let z(g) = g**3 + g - 5. Suppose 0 = 3*w - 0*w - u, w = 4*u. Let c be z(w). Let j = c + 13. Calculate the remainder when 11 is divided by j.
3
Suppose -41*w + 154 = -30*w. What is the remainder when 118 is divided by w?
6
Suppose -8*z = z - 18. Let a(u) = -u**3 + 6*u**2 - 8*u + 3. Calculate the remainder when 22 is divided by a(z).
1
Let g(k) = 27*k**2 - 5*k + 5. Suppose 0*o + 5*o = 55. What is the remainder when g(1) is divided by o?
5
Let x = 1665 - 1647. Suppose 3*o = 4*o - 128. Let w = o - 76. What is the remainder when w is divided by x?
16
Let o = -87 - -116. Suppose -k + o = -5*d, 5*k - 4*d - 18 = 106. What is the remainder when 92 is divided by k?
20
Let q = 569 - 535. Calculate the remainder when 1255 is divided by q.
31
Let u(v) = -5*v**3 + 26*v**2 - v + 11. Let q(j) = -2*j**3 + 9*j**2 + 4. Let s(d) = 11*q(d) - 4*u(d). What is the remainder when s(-4) is divided by 7?
4
Let b(x) = -4*x**3 + 11*x**2 - x + 3*x**3 - 12*x**2 + 15 + 0*x**3. Let m(c) = -c**2 + 9*c - 8. Calculate the remainder when b(0) is divided by m(7).
3
Let p(v) = -1. Let q(f) = 10*f + 6. Let a(y) = -5*p(y) - q(y). What is the remainder when a(-9) is divided by 15?
14
Let c(p) = -19*p - 351. Calculate the remainder when 50 is divided by c(-20).
21
Suppose 0 = 28*i - 33*i + 560. Calculate the remainder when i is divided by 29.
25
Let t(g) = g**2 - 21*g + 47. What is the remainder when 402 is divided by t(20)?
24
Suppose -3*h = -2*h + 15. Let o(r) = -3*r - 28. Calculate the remainder when 100 is divided by o(h).
15
Let v = -24 + 181. Calculate the remainder when v is divided by 10.
7
Let d(b) = 2*b**2 + 6*b + 9. Suppose 5*t = -19 - 1. What is the remainder when d(t) is divided by 11?
6
Suppose 4*b + 2 = 622. Suppose -44*t - b = -49*t. Calculate the remainder when (-2)/(-4) - (-183)/2 is divided by t.
30
Suppose 0 = -86*t + 94*t - 112. Calculate the remainder when 305 is divided by t.
11
Calculate the remainder when 22 is divided by (5/(-15))/((-8)/384).
6
Suppose 47*x = -58*x + 14490. What is the remainder when 266 is divided by x?
128
Let z(q) = -6*q**3 + 10*q**2 + 5*q + 7. Let o(k) = -7*k**3 + 10*k**2 + 5*k + 8. Let g(m) = 5*o(m) - 6*z(m). What is the remainder when g(11) is divided by 11?
9
Let i(x) = 7*x**2 + 2*x - 3. Let p be i(-2). Calculate the remainder when 73 is divided by 1*(4/(-1) + 2) + p.
16
Let z = -1044 - -1109. What is the remainder when 156 is divided by z?
26
Let t(g) = 8*g**2 + 17*g - 3. Calculate the remainder when t(2) is divided by 32.
31
Suppose 0 = i + 2*i - 2*t - 169, 4*i = 5*t + 230. What is the remainder when i is divided by 14?
13
Let n = -76 + 115. What is the remainder when 110 is divided by n?
32
Suppose -21 - 61 = -2*b. Let m(w) be the third derivative of w**5/60 - 2*w**4/3 + 11*w**3/3 + 3*w**2. What is the remainder when b is divided by m(16)?
19
Let m = -1411 - -1474. Calculate the remainder when m is divided by 13.
11
Suppose 12*b + 1600 = 28*b. What is the remainder when b is divided by 34?
32
Suppose -2*m + 46 = -3*b, 26*b + 76 = 4*m + 28*b. What is the remainder when 149 is divided by m?
9
Calculate the remainder when 117 is divided by (-691)/(-11) - 1/(-22)*4.
54
Suppose 3*f = 