t a be (-55)/(-7) + (-16)/(-112). Suppose -4*t + 0*f + f + 49 = 0, -4*f = t - a. What is the remainder when 82 is divided by t?
10
Suppose 5*l - 294 = -49. Let g(n) = 3*n**2 + 3*n - 11. Let a(d) = -d**2 - 15*d + 37. Let f be a(-17). What is the remainder when l is divided by g(f)?
24
Calculate the remainder when 248 is divided by (-1)/(8 - (-10878)/(-1358)).
54
Suppose -u + 12 = 3*u. Suppose 1 = 3*b + 13. Let r(z) = -3*z - 4. What is the remainder when r(b) is divided by u?
2
Suppose -79 = 6*q - 205. Suppose s = -2*s + 123. Calculate the remainder when s is divided by q.
20
Calculate the remainder when (272/40 - 3)*15 is divided by 15.
12
Suppose 5*c = -4*s - 5, 2*s = -s + 15. Calculate the remainder when 24/(-9)*36/(-16) is divided by (65/25 - 1)*c/(-2).
2
Let a be -2*(1 + (-48)/3). Let l = 10 + a. What is the remainder when 199 is divided by l?
39
Let p(i) = -i**2 + 12*i + 6. What is the remainder when 180 is divided by p(10)?
24
Let u = 184 - -239. What is the remainder when u is divided by 33?
27
Suppose 0 = -p + 9 + 2. Suppose 4*y = 10 - 2. Suppose -5*b - y*h + 95 = -7*h, -4*b + 2*h = -80. What is the remainder when b is divided by p?
10
Suppose 6 - 76 = -2*g - 3*c, 5*g - 2*c - 194 = 0. Let p(u) = -2*u + 5. Calculate the remainder when g is divided by p(-4).
12
Let k = -6438 - -6451. Calculate the remainder when -69*(4/(-6))/1 is divided by k.
7
Let q = 94 - 86. Suppose 0 = -5*o - 4*c + 183, -4*o = -o + 4*c - 105. What is the remainder when o is divided by q?
7
Let p(y) = -y**3 + 83*y**2 + 9. What is the remainder when 30 + -2 + 2 + 2 is divided by p(83)?
5
Suppose -3*a + 20 = 2*a. Suppose -4*f = -a*w - 0 + 12, 15 = 5*w + f. Suppose w*l - 25 = 2*l. What is the remainder when 72 is divided by l?
22
Let o = 23 - 16. Let l(t) = -t - 18*t**2 + 3 - 26*t**2 - 4*t + 45*t**2. Calculate the remainder when 33 is divided by l(o).
16
Calculate the remainder when 273 is divided by -13 + (-10 - -10) + 14.
0
Calculate the remainder when 1157 is divided by (-38076)/(-950) + 4/(-50).
37
Let j(b) = -2*b**3 - 48*b**2 + 42*b - 34. Calculate the remainder when j(-25) is divided by 49.
19
Let r = 9 - 26. Let x = -5 - r. Calculate the remainder when 33 is divided by x.
9
Let h = 61 - 23. Let q(t) = 2*t**2 + 10*t + 2. Let p be q(-7). Suppose -2*i = i - p. What is the remainder when h is divided by i?
8
Suppose -18*d - 1808 = -26*d. Calculate the remainder when d is divided by -2 + (41 - -3) - -4.
42
Suppose -3*k = -0*k - 6. Let v be -2 + 4/2 + k. What is the remainder when 13 is divided by 5 - (-3 - v - -2)?
5
Let z be 214/8 + 30/(-40). Let x = z - 30. Let n(l) = l**2 - 6*l - 6. Calculate the remainder when n(x) is divided by 7.
6
Let a = -23 - -58. Calculate the remainder when 239 is divided by a.
29
Let l(z) = -z**3 + 7*z**2 + 5. Let h be l(4). Suppose 2*f - h = 4*b - 5, -b - 3*f - 26 = 0. Let g = -13 - b. What is the remainder when 2 is divided by g?
0
Suppose 2*j + 3*j - 10 = 0, -4*v = -3*j - 54. Let m(r) = -4*r + 44. What is the remainder when m(4) is divided by v?
13
Let d = -2 - -6. Let y(z) = z**2 + 3*z - 2. Let g be y(-6). Let w = 27 - g. What is the remainder when w is divided by d?
3
Suppose -7*p + 186 = -p. Calculate the remainder when (p - 0) + 9*(-5)/(-15) is divided by 5.
4
Suppose -k - 6*a + 2*a - 24 = 0, 0 = 3*k + 2*a + 62. Let g be 6/(-10) + (-352)/k. Let f = 29 - g. What is the remainder when 34 is divided by f?
10
Let s = 5 - -3. Suppose -5*z = -s*z - 123. Let d = 112 + z. Calculate the remainder when d is divided by 18.
17
Suppose 0 = 3*q - 51 + 9. Let r(s) be the third derivative of -s**4/12 + 9*s**3 - 17*s**2. What is the remainder when r(0) is divided by q?
12
Let b be 726/30 + (-4)/(-5) - 1. Let p = b - 18. Calculate the remainder when 19 is divided by p.
1
Calculate the remainder when 24/2 + -1 + 0 is divided by 3/(28/(-42)*3/(-2)).
2
Let d(o) = -o + 4. Let p be (-2)/((12/21)/2). Let h be d(p). Suppose x - 4 = h. Calculate the remainder when x is divided by 6.
3
Let b(t) = -t**2 + 9*t + 24. Let i(w) = 2*w**2 - 8*w - 23. Let g(j) = 5*b(j) + 4*i(j). Calculate the remainder when g(-12) is divided by 61.
60
Suppose -4*d + 408 = -2*x + 6*x, 5*x - 213 = -2*d. Calculate the remainder when d is divided by 34.
31
Let f = -3071 + 3094. Calculate the remainder when 918 is divided by f.
21
Let f(c) = -9*c - 26. What is the remainder when 258 is divided by f(-4)?
8
Let h be 1*(4 + -3) - (0 + 2). What is the remainder when h*-2*(-4 + 21) is divided by 7?
6
Let g = -62 + 138. Calculate the remainder when 14 is divided by g/8 + 15/(-10).
6
Calculate the remainder when 321 is divided by 704/14 - -13*(-30)/1365.
21
Suppose y - 3*y - 5*j + 273 = 0, 0 = y + j - 138. What is the remainder when y is divided by 14?
13
Suppose -45*u + 41*u = -96. Let p = -70 - -141. Suppose 5*f = p + u. Calculate the remainder when f is divided by 4.
3
Let r be (-7 + 3)*7/4. Let g = r + 11. Suppose 2*m - d = -g*d + 113, -5*m + 245 = -5*d. Calculate the remainder when m is divided by 27.
25
Suppose 4*i = 4*g + 6684, -i + 238*g + 1686 = 242*g. What is the remainder when i is divided by 13?
10
Let m = 125 + -110. What is the remainder when 253 is divided by m?
13
Let o = 4 - -12. Let c be (-1)/((4/(-2))/76). Suppose c = 4*m + 14. What is the remainder when o is divided by m?
4
Suppose 2*n = -4*u - 14, -3*n + 6*n = 2*u - 5. Let y(z) = 2*z**2 - 3*z - 4. Calculate the remainder when y(n) is divided by 17 + (-8)/((-56)/(-35)).
11
Let j(m) = -30*m - 2. Let p(a) = 29*a + 2. Let k(f) = -6*j(f) - 7*p(f). Calculate the remainder when k(-1) is divided by 12.
9
Let n be 141/27 - 6/27. Suppose 0 = 2*v - 5*a - 149, -410 = -5*v - 0*v + n*a. What is the remainder when v is divided by 128/6 + 4/6?
21
Suppose -8 = -2*v, -5*h + 10*h = 5*v + 25. What is the remainder when 1482/91 + 6/(-21) is divided by h?
7
Let o be (2 - -2) + 94 + -3. Let s = o - 68. Calculate the remainder when 50 is divided by s.
23
Let m(p) = 8*p + 103. Calculate the remainder when 75 is divided by m(-9).
13
Suppose -10*n + 392 = -3*n. Suppose -16 = -8*v + 144. What is the remainder when n is divided by v?
16
Suppose y - 2*w = 53, -4*y + w - 3*w = -162. Let f(n) = 6*n - 11. Let v be f(3). Let d(j) = -j**2 + 7*j + 15. What is the remainder when y is divided by d(v)?
13
Let z(r) = 33 + 19*r**2 + 2*r - 41*r**2 + 21*r**2. Suppose 5*y - 50 = -4*s + 22, 0 = -3*s - y + 54. Calculate the remainder when z(0) is divided by s.
15
Suppose 3*g = -3*y + 75 + 93, -3*g = -5*y - 208. What is the remainder when 177 is divided by g?
55
Let g(n) = -6 + 3 - n + 0. Let t be g(-3). Calculate the remainder when (-19 - -14)*(-1 - t) is divided by 2.
1
Suppose 79*x - 77*x = 28. What is the remainder when 429 is divided by x?
9
Let p(o) = o**2 + 12*o + 3. Let f be p(-12). Let d(m) be the second derivative of m**3/2 + 2*m**2 + m. What is the remainder when 23 is divided by d(f)?
10
Suppose 3 = 3*n - 2*n, -4*n = 3*y - 213. Let l(h) = 15*h - 8. Let z be l(5). Let j = -44 + z. What is the remainder when y is divided by j?
21
Let y = -14 + 19. Let f = y + 9. Calculate the remainder when (f/6)/(2/12) is divided by 8.
6
Let c = 4 - 3. Let n(f) = f. Let a(w) = 7*w - 1. Let x(k) = c*a(k) - 3*n(k). Calculate the remainder when x(13) is divided by 13.
12
Let i(o) = -2*o - 4. Let f = -13 - -9. Let y be i(f). Suppose j + y*j - 110 = 0. Calculate the remainder when 85 is divided by j.
19
Let j(u) = 5*u**2 + 2*u - 2. Suppose 0*b - 175 = -5*b - 5*y, -2*b = -y - 82. Calculate the remainder when b is divided by j(2).
17
Let z(y) = y**3 + 8*y**2 - 8*y - 52. Calculate the remainder when 56 is divided by z(-8).
8
Suppose 0 = 2*i - 5*i + 18. Let u(v) = -2*v. Let k(d) = 15*d - 6. Let m(h) = -5*k(h) - 35*u(h). What is the remainder when m(4) is divided by i?
4
Let k = -821 + 845. Let o(x) = -4*x**3 - 2*x**2 - x + 1. What is the remainder when o(-3) is divided by k?
22
Let k be (-3)/4 + 21/12. Let o(c) = 2*c - 1. Let p = -4 - -5. What is the remainder when o(k) is divided by p?
0
Suppose -9*u + 61 = -470. Calculate the remainder when u is divided by 15.
14
Let i(f) = -3*f + 30. Let b be i(-8). Let g = b - 44. Calculate the remainder when g is divided by 4.
2
Suppose -3*t - 7*u = -2*u - 29, -2*t + 14 = -2*u. Calculate the remainder when 17 is divided by (t/20 - 0)*15.
5
Let