e the remainder when p is divided by 6.
5
Let s(k) = 4*k**2 + 9*k + 8. Let q be s(-1). Calculate the remainder when 205 is divided by (-48*(-4)/18)/(2/q).
13
Let d(i) = -i**2 + 15*i + 7. Let k(o) = 2*o**2 + 33*o - 2. What is the remainder when d(12) is divided by k(-17)?
13
Suppose 132*y = 143*y - 6809. Calculate the remainder when y is divided by 20.
19
Suppose -f = -3*u + 332, f = -2 - 3. Suppose 5*o - u = -j, 2*o - 41 = -3*j - 0*j. Calculate the remainder when 41 is divided by o.
19
Suppose -179 = -34*c + 127. Calculate the remainder when c is divided by 4.
1
Let z(x) = -56*x - 5. What is the remainder when z(-1) is divided by 48?
3
Let b(z) = z**3 - 7*z + 62. What is the remainder when b(6) is divided by 10?
6
Let x(j) = -49*j + 106. What is the remainder when x(-4) is divided by 22?
16
Let v(h) = -h. Let f(k) = k + 9. Let l(b) = -f(b) - 5*v(b). Let d be l(6). What is the remainder when 34 is divided by 16 - d - (-1 - 3)?
4
Suppose -7 = 2*p - 5*s, -32 = -5*p - 5*s + s. Suppose -2*f - 24 = -4*f. Calculate the remainder when (-46)/p*(10 + -12) is divided by f.
11
Let o(u) = -4*u + 1 - 9 + 3*u. What is the remainder when o(-15) is divided by 4?
3
Let n(g) = 68*g**2 + 4*g + 3. Let l = -8 + 48. Calculate the remainder when n(1) is divided by l.
35
Let y be (-2)/(-4) - (-72)/16. Suppose 13 = -y*m + 68. Calculate the remainder when m is divided by 2/(-7) + 44/7.
5
Suppose -2*v = 5*n - 1631, 7*v = 2*v + 2*n + 4005. Calculate the remainder when v is divided by 35.
33
Let h = 13 + -12. Let x be h*(0 - -12) + -2. Suppose 9*w + 6 = x*w. Calculate the remainder when 16 is divided by w.
4
Suppose 0 = -z - t - 2, -t - 4*t - 37 = -4*z. Suppose v - z = 12. Let m = 246 - 238. Calculate the remainder when v is divided by m.
7
Let u(o) = -o - 8. Let c be (-152)/16 - 1/(-2). Let d be u(c). What is the remainder when 47 is divided by d/(4/64) + -4?
11
Suppose -2*r + 15 = 7. Let n be (-5)/(-10)*-2*r. Calculate the remainder when 23 is divided by (-18)/36 - 54/n.
10
Let q be 303 + 1/((-3)/(-9)). Let n = 146 - q. Calculate the remainder when n/(-14) - (-8)/14 is divided by 3.
0
Suppose -3*j - 14 = -4*w, 3 = 3*w + 2*j - 16. What is the remainder when 4/(-28) - (-791)/49 - -2 is divided by w?
3
What is the remainder when (319/22)/(-4*(-3)/216) is divided by 67?
60
Let d = -2258 + 2325. What is the remainder when d is divided by 46?
21
What is the remainder when 36 is divided by 27 - (8 - (1 - -3))?
13
Let h = 15 - -44. Let j(u) = u**2 - 18*u + 16. What is the remainder when h is divided by j(18)?
11
Suppose -60 = -29*c + 23*c. What is the remainder when 175 is divided by c?
5
Let h = 107 + -104. Suppose 0 = 2*t + z - 77, 2*z + h*z - 16 = -t. What is the remainder when t is divided by 23?
18
Let n(z) = -z**3 + 9*z**2 - 3*z - 2. Let v(h) = h**2. Let w be v(3). Let i be n(w). What is the remainder when 56 is divided by (i/3)/((-2)/6)?
27
Let s = 685 + -644. What is the remainder when 449 is divided by s?
39
Let l = 19 - 29. Let n = 10 + l. Suppose 2*s - 6*s + 96 = n. What is the remainder when s is divided by 13?
11
Let q = 1142 + -1124. Calculate the remainder when 76 is divided by q.
4
Suppose -13*l - 2*l + 6900 = 0. Calculate the remainder when l is divided by 29.
25
Let b(n) = 117*n + 3. Let u be b(1). Suppose 2*q = 180 + u. What is the remainder when q is divided by 38?
36
Let h(d) = d**2 - 2*d + 291. Calculate the remainder when h(0) is divided by 42.
39
Let j(z) = 4*z**2 - 10*z + 40. What is the remainder when j(3) is divided by 7?
4
Let m = 3 + 2. Suppose m*a = -163 + 568. What is the remainder when (-20)/(-25) + a/5 is divided by 6?
5
Let m(s) = s**2 + 9*s - 6. Let b be m(-11). Suppose 2 + 4 = 2*q - f, 5*q - 3*f - b = 0. What is the remainder when (28 + 6)*1/q is divided by 5?
2
Suppose 9*j - 44 = -2*j. Suppose -2*x - c + 34 = 0, j*x + x + 5*c - 95 = 0. Suppose 4*u = 77 + 39. What is the remainder when u is divided by x?
14
Suppose -821 = -5*q + 1149. Suppose -3*w + 2*a = -408, -w - 5*a = -0*a - 153. Suppose w = 4*h - q. What is the remainder when h is divided by 27?
25
Calculate the remainder when (629/(-111))/(7/(-3) - -2) is divided by 13.
4
Let x = 7 + 12. Let t(d) = -24*d + 569. Calculate the remainder when t(19) is divided by x.
18
Let i(p) = -2*p**3 - 2*p**2 - 3*p - 3. Suppose a = 2*d - 6, 3*d - 5*d + 2 = a. Calculate the remainder when i(a) is divided by 7.
4
Let t(f) = f**3 - 10*f**2 - 35*f - 20. Calculate the remainder when 182 is divided by t(13).
22
Let j(o) = 3*o**2 + 17*o - 43. Calculate the remainder when 169 is divided by j(3).
29
Let j(g) = 14*g + 3. Calculate the remainder when j(6) is divided by (1 + (-45 - 0))/(-36 + 34).
21
Suppose 33 = 3*f - 3*u, -f = 3*u - 0*u - 11. Suppose 25 = 8*m - 3*m. Suppose -74 = -m*j + f. What is the remainder when j is divided by 10?
7
Suppose -48*i + 2255 + 6433 = 0. What is the remainder when i is divided by 51?
28
Suppose q + 2*k = 157 + 5, q - k = 162. Calculate the remainder when q is divided by 34.
26
Let z(s) = -s**3 + 7*s**2 + 5. Suppose -2*v + 4 = 14. Let q be (1/2)/(v/(-60)). Calculate the remainder when z(q) is divided by 21.
20
Let i(m) = 2 + m + 4*m**2 + m + m + 6. What is the remainder when i(-3) is divided by 9?
8
Let s = -67 - -175. Calculate the remainder when s is divided by 22.
20
Let o(u) be the second derivative of -u**5/20 + u**4/3 + u**3/3 + u. Let p = 319 + -315. Calculate the remainder when o(p) is divided by 3.
2
Let y(i) = i**2 + 24*i + 47. What is the remainder when y(-25) is divided by 10?
2
Let h(c) = c**2 + 6*c - 15. Let w be h(-8). Let s be (-8)/(-4) + w*9. What is the remainder when 40 is divided by 2/s - 1368/(-99)?
12
Suppose -4*f = 477 - 57. Suppose -305 = -7*r - 67. What is the remainder when r is divided by 2/8 + f/(-12)?
7
Suppose 3*w = -3*s - 2*w + 60, -2*s + 39 = 3*w. Let t be 2*(9*2 + 0). Suppose -t = -5*c + 249. What is the remainder when c is divided by s?
12
Let i be (-59)/(3*(-3)/(-9)). Let a = 3 - i. Calculate the remainder when a is divided by 17.
11
Suppose 1 = -2*w + 7. Suppose -34 = 3*v - 10. Let x = 10 + v. What is the remainder when w is divided by x?
1
Let v be 4/(-6) + 56/3. Let b(r) = r**3 - 5*r**2 + 4*r + 8. Let u be b(4). Let j = v - u. Calculate the remainder when 39 is divided by j.
9
Let p(s) = -s**3 + 4*s**2 + 7*s + 1. Let l be p(-3). Suppose -n = 0, -2*u - n + l + 45 = 0. What is the remainder when u is divided by 5?
4
Suppose 53*y + 2*f = 48*y + 596, 0 = 2*y + 3*f - 234. What is the remainder when 469 is divided by y?
109
Let u = -46 + 72. Calculate the remainder when 75 is divided by u.
23
Let w = 72 + -68. Calculate the remainder when (27/(-15))/(9/(-75)) is divided by w.
3
Suppose c - 6*c = -25. Suppose 0 = -c*p + 284 + 21. What is the remainder when p is divided by 1 + 6/6*-5 - -20?
13
Suppose 3*o = -g + 20, g - 13 = -0*o + 4*o. What is the remainder when (-147)/2*2/(-3) is divided by g?
15
Let p be -3 + ((-4)/(-6)*-267)/(-2). Suppose -3*z + p = -z. What is the remainder when 85 is divided by z?
42
Let s = -5 + 66. Suppose -4*h - 44 = 2*u, 2*h + 2*u - 2 + 28 = 0. Let x = h - -25. What is the remainder when s is divided by x?
13
Suppose 2*a - 253 = -9*a. Suppose 8 = -w + 17. Calculate the remainder when a is divided by w.
5
Let h = -126 - -166. Calculate the remainder when h is divided by 31.
9
Suppose 3*w = 5*j - 33, -2*j + 2*w + 26 = 4*w. Let p = j + -6. What is the remainder when p is divided by 1/(5 + -4) - -2?
0
Let m = -1 - -6. Suppose -5*k + i = -9 - 46, m*k - 35 = 5*i. What is the remainder when 57 is divided by k?
9
Suppose -a - 152 = -5*z, 0 = -5*z + 2*z + 4*a + 98. Calculate the remainder when z is divided by 30/(-5) + 9 - -5.
6
Let d = -10 - -13. Suppose -d*q = -q - 110. What is the remainder when q is divided by 19?
17
Let s(w) = -w**3 + 14*w**2 - 14*w + 26. Let i(c) = c + 2. What is the remainder when s(13) is divided by i(5)?
6
Suppose 2*b = 5*b - 96. Suppose -4*d - b = -3*s, -1 = 3*s + 2*d - 3. Suppose -5*o = -i + 17, -o = -i - 2 + 7. What is the remainder when s is divided by i?
0
Suppose -2*o + o = -19. Let c = 25 - o. Suppose -s + c = -22. What is the remainder when s is divided by 10?
8
Let f = 17 - 12. Let l = f + 3. Let j = 26 + -21. What is the remainder when l is divided by j?
3
Suppose 0*f + 6*f = -2*f. Suppose -d + 