-t - 4 + 10. What is the remainder when r is divided by t?
4
Calculate the remainder when 1/(-4) - -1 - 824789/(-1972) is divided by 105.
104
What is the remainder when 4/(-6) - 12/((-324)/1125)*4 is divided by (-2)/(-4) - (-25)/2?
10
Let g = -49 - -58. Let q(a) = a**2 - 6*a + 15. Let o(l) = 3*l**2 - 19*l + 44. Let b(c) = 4*o(c) - 11*q(c). What is the remainder when 7 is divided by b(g)?
1
Let t(v) = -v - 1. Let b(g) = -7*g + 9. Let x(h) = b(h) - 6*t(h). Calculate the remainder when 5 is divided by x(12).
2
Let v(d) = d**2 + 26*d + 23. What is the remainder when ((-10)/15)/((-4)/270 + 0) is divided by v(-26)?
22
Let i(s) = 42*s**2 - 14*s - 19. Calculate the remainder when i(-3) is divided by 73.
36
Suppose -j + 5*g = 10, 3*j = j + 5*g - 10. Suppose -7*r = -j*r + 35. What is the remainder when (24/r)/(16/(-160)) is divided by 17?
14
Suppose l = 3*n - 6*n + 7, -3 = -l + n. What is the remainder when 129 is divided by l?
1
Suppose -4*r - 8 = -0*r, 2*i + 4*r = 28. Calculate the remainder when 70 is divided by i.
16
Suppose h = 2*y + 119, -2*h - y + 6*y + 236 = 0. What is the remainder when 365 is divided by h?
119
Let u = 1362 - 1312. Calculate the remainder when 187 is divided by u.
37
Calculate the remainder when (78/(-9))/(((-26)/12)/13) is divided by 31.
21
Let f(q) = -q**2 + 19*q - 57. What is the remainder when f(10) is divided by 11?
0
Suppose 10 = -z - 2*s + 25, 5*s + 39 = 2*z. Suppose -3*o + 199 = i, -3*i + 8*i - 215 = -3*o. What is the remainder when o is divided by z?
14
Let k = -102 - -97. Calculate the remainder when 17 is divided by 11*(-2)/(k + 3).
6
Suppose 11 = -5*a - 4, 5*h - 8443 = a. Suppose -14*g + h = -160. Calculate the remainder when g is divided by 27.
24
Suppose 15*p - 116 = 214. Calculate the remainder when 57 is divided by p.
13
Let y = -1 + 6. Suppose -m + 32 = y. Let i = m - 3. What is the remainder when 71 is divided by i?
23
Let t(v) = 12*v + 38. Let j be t(12). Suppose 3*q - q - j = 0. Calculate the remainder when q is divided by 47.
44
Let r(h) = -h**2 - 45*h - 218. What is the remainder when 176 is divided by r(-38)?
32
Let t(o) = o**2 - 12*o - 663. Calculate the remainder when t(-22) is divided by 85.
0
Let p be (-8)/6*(-36)/8. Let v be (3 - 1) + -1 - 5. Calculate the remainder when 20/p*(-6)/v is divided by 2.
1
Let r be -2*1/2 + 44 + 1. Let b = 65 - r. What is the remainder when b is divided by 11?
10
Let v be 15/(-10) - (-3)/6. What is the remainder when 3 + -4 + (v - -32) is divided by 8?
6
Let c be 1*((-1)/(-2) + (-112)/(-32)). What is the remainder when 54 is divided by (-14)/(-8)*-8*(-2)/c?
5
Let y = 31 + -20. Let u(b) = 11*b**3 - 1. Let r be u(1). Let w = 16 - r. Calculate the remainder when y is divided by w.
5
Calculate the remainder when 46*(0 - 3 - -4) is divided by 14.
4
Let l(h) = 2*h. Let t be l(0). Calculate the remainder when 31 is divided by 0 + 4 + t - -7.
9
Let c be (3/2)/((-6)/(-12)). Suppose c*u = u + 8. Suppose 0 = p + u*p - 80. What is the remainder when 45 is divided by p?
13
Let n(m) = m + 552. What is the remainder when n(-29) is divided by 16?
11
Let d(m) = 8*m**2 + 53*m - 11. What is the remainder when d(-8) is divided by 37?
3
Let q(l) = -l**3 - 21*l**2 - 41*l - 40. Calculate the remainder when q(-19) is divided by 7.
3
Let x(h) = h**3 + 7*h**2 - 9*h + 1. Calculate the remainder when x(2) is divided by 11.
8
Let j(i) = i**2 - 47*i - 362. Calculate the remainder when 329 is divided by j(54).
9
Let p = 2023 - 1938. What is the remainder when p is divided by 44?
41
Let t = 297 + -161. Suppose t = 4*i - 4*v, 20 = 5*v - v. What is the remainder when i is divided by 11?
6
Let n be (-2 + 20/12)*(-19 + 1). Suppose -n*x + 4*x + 41 = 3*v, -2*v - 5*x + 9 = 0. What is the remainder when 101 is divided by v?
16
Suppose 0 = -3*f, a + 3*a = 2*f + 68. Suppose a = 2*n + 13. Suppose 0 = -n*x - x + 99. Calculate the remainder when x is divided by 17.
16
Suppose 4*u - 3*u - 72 = -5*q, -192 = -3*u - 3*q. What is the remainder when u is divided by 16?
14
Let o(y) be the first derivative of 7*y**2/2 - 2*y - 1. Suppose -3*k = 4*m - 44, 35*m - 30*m - 52 = -3*k. What is the remainder when o(m) is divided by 14?
12
Calculate the remainder when (-364)/6*(-168)/16 is divided by 32.
29
Let z = 12 + 0. Let a = 164 + -145. What is the remainder when a is divided by z?
7
Suppose 10*i - 1523 = 4107. What is the remainder when i is divided by 9?
5
Calculate the remainder when 30 is divided by 18 + 1/(-3)*(-3 + 0).
11
Suppose 4*c + 104 = 3*k, 11*k - 5*c = 15*k - 180. What is the remainder when k is divided by 16?
8
Let x = 170 + -136. What is the remainder when 130 is divided by x?
28
Let i(p) = p**2 - 3*p + 4. Let h be i(3). Suppose -h*x - m = -406, 39 + 59 = x + 2*m. Calculate the remainder when x is divided by 15.
12
Suppose -3*w - 2*w = -370. Suppose 4*f + 5*b - w = 0, -5*b - 106 = -4*f - 12. Calculate the remainder when f is divided by 8.
5
What is the remainder when 25 + -23 - (1 + -61) is divided by 21?
20
Suppose 61*n = 52*n + 585. Calculate the remainder when n is divided by 7.
2
Suppose -40 = 3*l - 0*l + 2*t, -5*t + 4 = l. Let y = l + 85. Calculate the remainder when y is divided by 12.
9
Suppose c = 40 - 2. What is the remainder when 227 is divided by c?
37
Let a(u) be the third derivative of -u**6/120 + 13*u**5/60 - 5*u**4/24 - 4*u**3/3 - 2*u**2. What is the remainder when a(12) is divided by 13?
11
Let n(v) = v**3 + 5*v**2 - 3*v - 7. Let k = -18 - -17. Let u = -6 - k. What is the remainder when n(u) is divided by 2?
0
Suppose -52*v + 81 = -49*v. What is the remainder when 70 is divided by v?
16
Let n = -420 - -502. What is the remainder when 147 is divided by n?
65
Let u(b) = 17*b + 5. Suppose 2*t - t = -2. Let v(x) = -16*x - 1. Calculate the remainder when u(5) is divided by v(t).
28
Calculate the remainder when 41 is divided by 6 + (5 - 4) - (-1 + -1).
5
Suppose j - 550 = -501. Calculate the remainder when j is divided by 35.
14
Let d = 136 - 114. Calculate the remainder when 61 is divided by d.
17
Let q(z) = -13*z**3 + z + 2. Let t be q(2). Let p = -70 - t. What is the remainder when 207 is divided by p?
27
Let k = -2304 + 2495. Calculate the remainder when k is divided by 25.
16
Let r(t) = 3*t + 5 - 3*t - 11 + t. Let s be r(8). Suppose 0 = s*b - 0*m + 2*m, 5*m + 5 = -4*b. Calculate the remainder when 9 is divided by b.
4
Let w(f) = f**3 + 17*f**2 + 13*f - 13. What is the remainder when 451 is divided by w(-16)?
31
Suppose 135 + 20 = -5*t. Let q = 70 + t. What is the remainder when q is divided by 8?
7
Suppose 0 = -c - 3*c + 180. Let w(b) = -8*b - 25. Suppose -10 = p + 2*p - 2*g, 0 = -5*p - 2*g - 38. Calculate the remainder when c is divided by w(p).
22
Suppose r - 4*r - 5*t - 276 = 0, r + 2*t = -91. Let n = r + 105. Calculate the remainder when 11 is divided by n.
3
Let s be ((-28)/1)/((-5)/10). Suppose 5*r = 8*r + 45. Let q = r + s. Calculate the remainder when q is divided by 14.
13
Let f = 991 - 272. Calculate the remainder when f is divided by 9.
8
Let l(h) = -h**2 + 34*h - 191. What is the remainder when 19 is divided by l(26)?
2
Let p(f) = -f**3 + 16*f**2 - 12*f - 12. Let j be p(15). Suppose -28*w = -j*w + 235. What is the remainder when w is divided by 10?
7
Calculate the remainder when (-15 + -5)/(85/43 + -2) is divided by 21.
20
Let r(p) = 43*p**2 + 1. Let m be r(1). Let v = -29 + m. What is the remainder when -3*(2 + -8)/((-4)/(-6)) is divided by v?
12
Let t(o) = o**2 - 36*o + 304. What is the remainder when t(0) is divided by 64?
48
What is the remainder when 9 is divided by -3*(2/(-4))/((-10)/(-40))?
3
Let v = 329 - -58. Let y = v - 218. Calculate the remainder when y is divided by 43.
40
Let w(x) = 2*x**2 - 16*x - 1. Let z be w(9). Suppose -8*y + 31 = -z. Calculate the remainder when 20 is divided by y.
2
Suppose -w = -6 - 1. Let x = -5 + w. Suppose -x*t + 17 = -t. What is the remainder when 31 is divided by t?
14
Let f(l) = -2*l**2 - 11*l + 2. Let h be f(-6). Let v be 9/18 - 258/h. Suppose 3*g + 2*g = v. What is the remainder when g is divided by 8?
5
What is the remainder when 466 is divided by (-34)/(-2) - (-7 + 11) - 6?
4
Let z = 69 + -67. Suppose -4 = -j - 0, -4*u - z*j = -40. Calculate the remainder when 46 is divided by u.
6
Let g(w) = w. Let b be g(0). Suppose 5*d = 2*s + 164