. Let f(c) = -c**2 - 11*c - 4. What is the remainder when f(-5) is divided by m?
5
Suppose 4*z = -2*g + 50, 5*z = g - 1 - 3. Suppose 3*q - 543 = -3*d, -4*d - 4*q - 564 = -7*d. Calculate the remainder when d/5 - 5/(25/4) is divided by g.
17
Let y be (0/(-2))/(0 - -1). Suppose y*t + 5*j = 4*t + 33, -4*j = -t - 11. Let a = 7 - t. What is the remainder when 55 is divided by a?
13
Let z be ((-88)/28 - -3) + 142/14. Calculate the remainder when 37 is divided by 52/z - (-2)/(-10).
2
Suppose 3*d - 2*a - 2 = 0, -5*d + 3*a + 1 = -3. Suppose -d*j + 3 = -j, 42 = 2*c - 2*j. Let b = -22 + c. Calculate the remainder when 7 is divided by b.
1
Calculate the remainder when 40 + 1 - (-8 + 13) is divided by 4.
0
Suppose 3*j + 0*j - 84 = 0. Let d(f) = f + 13. Let k be d(-13). Suppose -4*v + v + 30 = k. Calculate the remainder when j is divided by v.
8
Let q = 2572 + -1457. Calculate the remainder when q is divided by 187.
180
Let x = 7731 - 7715. Let b be 0 - 0 - 172/2. Let j = -24 - b. What is the remainder when j is divided by x?
14
Let x = 82 - 80. Let u(j) = 5*j**3 - 3*j**2 + 5*j - 4. Calculate the remainder when 132 is divided by u(x).
30
Let l = -537 - -580. What is the remainder when l is divided by 19?
5
Calculate the remainder when 192 is divided by (-6)/18*21 - -106.
93
Suppose 31*s - 1220 - 702 = 0. Calculate the remainder when 241 is divided by s.
55
Let f(z) = -33*z + 5. Suppose 2*a - 4 = -12. Suppose -2*r + s = -9 - 58, -3*r + s + 102 = 0. What is the remainder when f(a) is divided by r?
32
Suppose 3*n = -5*w - 205, -5*w - 206 = 3*n - w. Let m be (28/(-16) - -2) + 250/(-8). Let b = m - n. What is the remainder when b is divided by 10?
9
Suppose 0 = 3*l + 2*j + 8, -4*l + 5*j = -l - 20. Suppose -4*n + 5*d + 1 + 44 = 0, l = 5*n + 4*d - 87. What is the remainder when n is divided by 9?
6
Suppose 0 = -t - 3*m + 52, -3*m - 34 = -4*t + 3*t. Suppose -l = -4*g - 12, g + 72 = 5*l - 45. Let f = -13 + l. Calculate the remainder when t is divided by f.
10
Let c = -3 + -5. Let l = c - -37. What is the remainder when l is divided by 17?
12
Let u be (-3 - -2) + -1 + (2 - 27). Let i = u - -38. Suppose -2*b + 56 = 2*p, 2*p + 2*b - 59 = 3*b. Calculate the remainder when p is divided by i.
7
Let i = 23 - 11. Calculate the remainder when (112/6)/(192/288) is divided by i.
4
Suppose -3*j + 16 = 5*z - 0*j, 5*z = -5*j + 20. Let b(m) = 19*m**2 + m + 1. Calculate the remainder when b(z) is divided by 27.
25
Let x(j) = 2*j**2. Let o be x(1). Suppose o*a + 3*a = -2*i + 69, 2*i = -2*a + 66. What is the remainder when 61 is divided by i?
29
Let i = -348 + 359. What is the remainder when 72 is divided by i?
6
Suppose -119 = -n + w, w - 15 = 4*w. Suppose 5*m - 45 = 70. Calculate the remainder when n is divided by m.
22
Suppose 11*i = 3*i + 80. Suppose q = -5*n + 94, 0*n + 5*n - 100 = 5*q. What is the remainder when n is divided by i?
9
Suppose -f = 16 - 25. Calculate the remainder when ((-6)/(-4))/((-6)/(-64)) is divided by f.
7
Let k be 10/5 - 0/1. Suppose 0 = -m - k*m + 24. Suppose m = 4*n - 16. What is the remainder when n is divided by 3?
0
Let l = 89 + -87. Suppose -m - 3*u = -0*u - 24, -32 = -2*m - l*u. What is the remainder when 47 is divided by m?
11
Suppose -2*o = -w + 2*o + 24, 3*o - 10 = -w. What is the remainder when 140 is divided by w?
12
Suppose -1025 = -14*l + 9*l. Let z = -51 + 64. Calculate the remainder when l is divided by z.
10
Suppose -z + 94 = 4*z + 3*x, -50 = -3*z - 5*x. Calculate the remainder when z is divided by 9.
2
Suppose -o + 82 = -l, -11*o + 4*l = 491 - 1393. Let a(i) = 27*i**3 + i**2 - i + 1. Calculate the remainder when o is divided by a(1).
26
Suppose k + 14*k - 930 = 0. Calculate the remainder when k is divided by 32.
30
Suppose 0 = -312*q + 311*q + 23. Let r = 103 - 166. Let m = r + 108. What is the remainder when m is divided by q?
22
Suppose 34*q + 136 - 1156 = 0. What is the remainder when q is divided by 18?
12
Let f = -621 - -441. What is the remainder when (-2)/(-9) - 9500/f is divided by 14?
11
Suppose 13*j - 8*j = -3*f + 514, 2*f = -4*j + 410. What is the remainder when j is divided by 14?
3
Suppose 5*k - 106 - 79 = 0. Let l = 37 - k. Suppose -2*v - 5*h = -l*v - 47, v = h + 13. What is the remainder when 61 is divided by v?
13
Let q = 21 + -6. What is the remainder when (-1 + 13)*6/1 is divided by q?
12
Let a(b) = b**3 - 6*b**2 - 3*b + 8. Let t be a(6). Calculate the remainder when 2 + (-3)/(3/(-91)) is divided by t/(-15) + 210/9.
21
Suppose 266 = 5*a + 3*z, -3*a + 59 = -z - 95. Let o(j) = -10*j + 88. Calculate the remainder when a is divided by o(7).
16
Let w = -60 - -60. Suppose 4*n - 71 - 33 = w. What is the remainder when 76 is divided by n?
24
What is the remainder when 848 is divided by 82/2 - (-2 - -6)?
34
Suppose 2*y = -0*y + 202. What is the remainder when y is divided by (2/3)/((-11)/(-561))?
33
Suppose -3*v - 19 = -172. Suppose -v = -5*q - 1. Let d = q - -2. What is the remainder when 34 is divided by d?
10
Suppose 69*f - 121 = 58*f. Let i(n) = 5*n + 3. What is the remainder when i(8) is divided by f?
10
Suppose h - 6 = 4*k, 0*h - 4*k - 10 = h. Calculate the remainder when (-20)/5 + 107 + 2 + h is divided by 13.
12
What is the remainder when 164 is divided by -1*10*(-396)/330?
8
Let u = 37 - 25. What is the remainder when (-80)/u*(-87)/4 is divided by 37?
34
Suppose 2*w - 125 = -49. Let t = -309 + 322. Calculate the remainder when w is divided by t.
12
Let u(s) = -4*s + 2. Let f = -12 + 11. Let i be u(f). Suppose 2*o = i*o - 60. Calculate the remainder when o is divided by 6.
3
Suppose 5*c + 60 = 5*h, 4*h - 30 = -3*c - 2*c. Calculate the remainder when 29 is divided by h.
9
Suppose 0 = -0*c - 3*c + 90. Calculate the remainder when c is divided by 8.
6
Let o = 59 + -54. Let w be 16/3 + (-4)/12. Suppose 5*t = -w*k + 75, 0 = 5*t + 3*k + 12 - 93. What is the remainder when t is divided by o?
3
Suppose -6*l + l = -885. Suppose -l = -5*s + 53. What is the remainder when s is divided by 17?
12
Let c(y) = 3*y**2 - 6*y + 6. Let u(r) = r**3 + 5*r**2 - r + 3. Let d be u(-5). Let k be c(d). Let f = k + -92. Calculate the remainder when f is divided by 20.
18
Let l(d) = d**3 + 12*d**2 + 13. Let c = -18 - -6. Calculate the remainder when 45 is divided by l(c).
6
Let h = -191 + 258. Calculate the remainder when h is divided by 4.
3
Let z = 495 - 446. What is the remainder when z is divided by 10?
9
Let k be ((-2)/(-3))/(28/(-6) - -5). Suppose -2*h + 99 = 5*n, 0*h - 80 = -4*n - k*h. What is the remainder when 55 is divided by n?
17
Let b = -474 - -500. What is the remainder when 310 is divided by b?
24
Let z = 983 - 882. What is the remainder when z is divided by 23?
9
Suppose -z + 5*i = -43, 4*z - 92 = 3*i + i. Calculate the remainder when ((-1)/(-2 + 1))/(21/1491) is divided by z.
17
Let f = -651 - -759. Calculate the remainder when 528 is divided by f.
96
Suppose 2*x = -2*q + 248, 4*x - 491 = -6*q + q. Let z = -66 + x. Calculate the remainder when z is divided by ((-264)/55)/((-26)/20 - -1).
15
Let r(k) = -18*k**2 - 4*k - 7. Let b = -1 + 3. Let q(c) = 9*c**2 + 2*c + 3. Let y(n) = b*r(n) + 5*q(n). Calculate the remainder when 30 is divided by y(-1).
6
Let r = -1 - -5. Let v = 162 - 94. Suppose -4*f + v - 8 = 0. Calculate the remainder when f is divided by r.
3
Suppose -5*c - 20*m + 23*m + 174 = 0, -4*m = -4*c + 144. Calculate the remainder when 131 is divided by c.
32
Let c = -286 - -152. Let j = -93 - c. What is the remainder when j is divided by 11?
8
Suppose 3*m + 0*m - 81 = 0. Let t be (-1*m/(-3))/(-1). Let u = t - -19. What is the remainder when 17 is divided by u?
7
Suppose 4*n - 160 = -5*j - 55, 4*j = 4. Calculate the remainder when 181 is divided by n.
6
Let x = 89 - 51. What is the remainder when 113 is divided by x?
37
Let x(w) = 43 - 46*w**2 + 23*w**2 + 22*w**2 - 9*w. What is the remainder when x(-10) is divided by 17?
16
Let m = -156 - -328. Let f(d) = d - 1. Let n be f(4). Suppose -a = n*a - m. Calculate the remainder when a is divided by 23.
20
Suppose -4*s + 2*s = 0. Suppose -4*a = -12, h - 4*a + 7*a - 18 = s. What is the remainder when h is divided by 5?
4
Suppose 3*u = -0 + 9, -4*u = -5*o + 53. Suppose -141*j - 918 = -159*j. What is the remainder when j is divided by o?
12
Suppose -9 = -2*g + 21. Suppose 13*a - 10*a - 