- -158. Let x = -85 + s. Calculate the remainder when x is divided by b.
23
Suppose -173 = -3*h - 2*o, -2*h + 67 = -h + 3*o. Let k be 60/33 + (-2)/(-11). Suppose -38 = -4*n + k*n. Calculate the remainder when h is divided by n.
17
Suppose 1696 = 23*d + 17. Calculate the remainder when 145 is divided by d.
72
Let g(i) = -i**3 - 6*i**2 - 3*i + 4. Let a be g(-4). Let j = -12 - a. Suppose 4*x - 20 = 0, -j = s - 2*x - 0. Calculate the remainder when 11 is divided by s.
5
Let g be (-1)/(-3 + (-10)/(-4)). Let q(j) = -16*j**3 - j**2 + 2*j**3 + 1 + 0*j**g. Calculate the remainder when 27 is divided by q(-1).
13
Let n = 67 + -65. Suppose -q - 57 = -n*d - 0*q, 4*d = -q + 105. Calculate the remainder when d is divided by 21.
6
Let t(u) = 28*u - 2. Let i be t(5). Suppose 5*m + 5*p - 136 = 4, 3*p - i = -5*m. Let k(n) = 10*n. What is the remainder when m is divided by k(1)?
7
Let t be (92/(-6))/((-1)/(-3)). What is the remainder when (-1)/(((-6)/t)/(-3)) is divided by 54/(-21)*(-70)/15?
11
Let n = 399 - 367. What is the remainder when 317 is divided by n?
29
Let m(i) = i**3 - 3*i**2 - 3*i + 1. Let s be m(4). Suppose -s*g - 50 = -4*d, -3*d - g = -d - 18. Calculate the remainder when 37 is divided by d.
7
Suppose 520*q = 532*q - 564. Suppose 280 = -2*k + 3*k. Calculate the remainder when k is divided by q.
45
Let b = 395 - 178. What is the remainder when b is divided by 74?
69
Let q = 265 - 236. Calculate the remainder when 114 is divided by q.
27
Suppose -101*c + 107*c = 456. What is the remainder when c is divided by 6?
4
Let f(j) be the third derivative of j**5/60 - 5*j**4/12 - j**3 + 5*j**2. Let u be f(11). Suppose -32 = 3*s - u*s. What is the remainder when 44 is divided by s?
12
Let s(d) = -d**2 - 49*d - 77. What is the remainder when s(-46) is divided by 35?
26
Let q(s) be the third derivative of s**4/24 - s**3/2 + 9*s**2 - 2*s. Suppose -3*f + 7*f - 24 = 0. Calculate the remainder when 8 is divided by q(f).
2
Let d(j) = j**2 - j - 1. Let n(w) = -10*w**2 - 6*w - 5. Let r(u) = 5*d(u) - n(u). What is the remainder when r(-1) is divided by 9?
5
Suppose 5*q + 14 - 67 = -2*j, -q = -5*j + 173. Suppose -u = -4*f + 72, -u - j - 19 = -3*f. Calculate the remainder when f is divided by 5.
4
Suppose 0 = 12*g - 131 + 23. Calculate the remainder when 31 is divided by (g/(-3) - 9)/(3/(-2)).
7
Let n(q) = -59*q + 3. What is the remainder when n(-2) is divided by 43?
35
Let z(q) = 195*q**2 - 36*q + 2. What is the remainder when z(1) is divided by 47?
20
Let n(q) = q**2 - 8*q + 2. Suppose 5*w - 11 = 44. Calculate the remainder when n(w) is divided by 6.
5
Let q(x) = -178*x**3 + x**2 + 3*x + 4. Suppose 2*r + 2*u + 80 = 5*r, -5*r = -2*u - 132. Calculate the remainder when q(-1) is divided by r.
24
Let w(v) = -6*v - 39. Let p be w(-7). Suppose 0*l - 201 = -p*l. Calculate the remainder when l is divided by 17.
16
Suppose 5*f - 128 = -43. Calculate the remainder when 168 is divided by f.
15
Suppose -2*w + z + 6 + 5 = 0, w + z = -2. Suppose b - 140 = 4*l, -w*b + 199 = 5*l - 187. Calculate the remainder when b is divided by 45.
42
Let j = -70 - -138. Calculate the remainder when 14 is divided by -2 + (-17)/(j/(-24)).
2
Let o = -34 - -38. Suppose 0 = -3*w - o + 13. Calculate the remainder when 10 is divided by w.
1
Suppose 0 = -13*c + 8*c. Let h be c + (-2 - (-3 - 3)). Suppose 4*s - 276 = -h*o, -o + 4*s - 16 = -65. What is the remainder when o is divided by 11?
10
Let l = 1 + 3. Let j(x) = x**2 - 4. What is the remainder when 119 is divided by j(l)?
11
Suppose 4*n = 306 + 66. Suppose 2*p - 96 = -4*a, 0 = -3*p + 4*a + 94 + 30. Let o = p - 12. What is the remainder when n is divided by o?
29
Suppose 32*m = 1542 + 1722. Calculate the remainder when 509 is divided by m.
101
Let p = -57 - -146. Suppose -322 = 20*k - 782. Calculate the remainder when p is divided by k.
20
Suppose -3*c + 30 = -c. Let p = c + 12. Let b(a) = a + 17. What is the remainder when p is divided by b(-9)?
3
Suppose -3*c - 4*d + 90 = 0, 0 = 3*c - 4*c - 4*d + 38. Suppose -q = -2*q + 4, -z + q + c = 0. Let x = z + -28. What is the remainder when 2 is divided by x?
0
Let l(q) be the second derivative of 2*q**3/3 + 9*q**2/2 - 9*q. What is the remainder when 164 is divided by l(6)?
32
Suppose 2 = 4*j + 18. Let f be j/6*90/(-12). Suppose -f*y = -0*y - 25. What is the remainder when y is divided by 3?
2
Let u = 605 - 363. Calculate the remainder when u is divided by 18.
8
Let v(r) = r**3 + 9*r**2 + 13*r - 6. What is the remainder when 66 + 0 - (1 + -4) is divided by v(-6)?
21
Let a(r) = -r**3 + 29*r**2 - 53*r + 39. What is the remainder when a(27) is divided by 14?
10
Let z(c) = c + 7. Let v be (4/6)/((-6)/27). Let w be z(v). Suppose 0*t - 100 = -w*t. What is the remainder when 48 is divided by t?
23
Let f = -86 - -169. Calculate the remainder when f is divided by 14.
13
What is the remainder when 69 is divided by (17 - 11)/((7/6)/7)?
33
Let c(n) = n**2 + 57*n + 519. Calculate the remainder when 322 is divided by c(-11).
10
Let m be (3/1 - 5)*-2. Suppose 3*p + 4*w = 102 - 28, -5*p + m*w = -166. Calculate the remainder when p is divided by 17.
13
Suppose -2055 = -77*u + 1487. What is the remainder when u is divided by 22?
2
Suppose 3*w + 10 = 5*c - w, 2 = c + 2*w. Suppose c*n - 223 + 73 = 0. What is the remainder when n is divided by 19?
18
Suppose -5*z - 32 = -5*c + 23, 2*c - 20 = 4*z. Suppose 9 = -3*i, -3*h - 4*i + 64 = -29. What is the remainder when h is divided by c?
11
Let o(r) = 13*r**2 + 6*r + 7. Let i be o(5). Suppose 156 + i = 7*n. What is the remainder when n is divided by 15?
14
Suppose -7*h = -11*h - 2*z + 480, 4*h = 2*z + 472. What is the remainder when h is divided by 44?
31
Let w = -2586 + 2662. Calculate the remainder when 223 is divided by w.
71
Let l = -691 - -791. Let a(s) = 9*s**2 - 2. What is the remainder when l is divided by a(2)?
32
Suppose w - 71 = -2*r, -3*w - 2*r = -w - 134. Calculate the remainder when w is divided by 150/(-25)*8/(-3).
15
Suppose 0 = 32*i + i - 1782. Calculate the remainder when 147 is divided by i.
39
Let a = -65 + 86. What is the remainder when 146 is divided by a?
20
Suppose b - 2*r = -b + 76, -b + 2*r + 43 = 0. Let w be 332/(-20) + 2/(-5). Let m = w + b. What is the remainder when m is divided by 9?
7
Let t be 65/((-1)/(-6)*3). Suppose -4*w = 3*f - 49, -2*f - 3*f + 3*w + t = 0. Calculate the remainder when 68 is divided by f.
22
What is the remainder when 87 is divided by 36/90 - 465/(-25)?
11
Let j = 142 - 76. Suppose 9*z + j = 20*z. Calculate the remainder when 57 is divided by z.
3
Let z be (18/15)/((-1)/10). Let u(r) = -14*r + 6*r**2 - 13*r**2 - 3 - 2 + 6*r**2. What is the remainder when 54 is divided by u(z)?
16
Suppose 2*m - 80 = -4*z + 286, 294 = 3*z - 5*m. Calculate the remainder when z is divided by 5.
3
Let v = 212 + -201. Calculate the remainder when v is divided by 6.
5
Suppose 2*n + 20 = 2*u, 0 = 4*u - 3*n + 99 - 134. Calculate the remainder when 44 is divided by u.
4
Let c(n) = -n**2 + 6. Let q be c(0). Suppose -q - 22 = 4*v. Let u(p) = -p**2 - 10*p - 10. Calculate the remainder when 41 is divided by u(v).
8
Let b(o) = o**2 + 2*o + 3. Let t be b(-3). Suppose -t = -3*u - 3. Calculate the remainder when 8 - (-1 + u)/(-3) is divided by 3.
2
Let o(u) = u**2 + 5*u. Let d be o(-4). Calculate the remainder when d/3*(-75)/2 is divided by 13.
11
Suppose 0 = -3*x + 8*x. Calculate the remainder when 89 is divided by (-1 - (-2 + (2 - x))) + 47.
43
Calculate the remainder when 30 + (-9 - -2) + 4 is divided by 16.
11
Suppose 16*v = 12*v - 160. Calculate the remainder when 81 is divided by (-35 - v)/(1/(-5)*-1).
6
Suppose 2*i + 22 = 26. What is the remainder when i*-3*79/(-6) is divided by 27?
25
Let x = -2959 - -3007. What is the remainder when x is divided by 2 + (2 + -17)/(-3)?
6
Let r = -19 + 23. Suppose -3*t = -0*t - b - 87, 145 = 5*t + r*b. What is the remainder when t is divided by 10?
9
Let i(h) = 17*h**2 - 4*h + 3. Suppose 29 = d - 3*k, 2*d - k - 34 = 29. Calculate the remainder when i(2) is divided by d.
31
Let g(m) = 11*m + 26. Let c be g(2). Suppose -20 = 7*d - c. Calculate the remainder when d is divided by ((-2)/(-3))/((-1)/(-3)).
0
Suppose 2*y + 150 + 68 = 3*z, -y + 4*z - 109 = 0. Let b = y - -125. Calculate the remainder when 29 is divided by b.
13
Let 