 w = 6 - 3. Suppose 3*q + 183 = 4*y, -w*q + 42 = y - 0*q. What is the remainder when y is divided by n?
9
Let c = 131 - 83. Suppose 3*w - 4*g - 53 = 0, -6*w + 3*g + c = -3*w. Let a = -48 + 67. Calculate the remainder when a is divided by w.
8
Let i(x) be the third derivative of -x**5/60 + 13*x**4/24 - 4*x**3/3 + 10*x**2. Calculate the remainder when 9 is divided by i(12).
1
Let l(m) = -m**3 - 21*m**2 + 34*m - 121. Calculate the remainder when l(-23) is divided by 8.
3
Suppose -13*c - 37 = 67. Let n(m) = -m**3 - 7*m**2 + 8*m + 22. What is the remainder when 84 is divided by n(c)?
18
Let w(x) = x**2 + 9*x + 2. Suppose 66 = -24*i + 18*i. Calculate the remainder when w(i) is divided by 11.
2
Let g = 41 - 34. Let h(s) = 7*s - 1. What is the remainder when h(6) is divided by g?
6
Suppose 97*n - 1019 = 436. Calculate the remainder when 144 is divided by n.
9
Calculate the remainder when 1613 is divided by -8*318/(-24) - 5.
98
Let h(k) be the third derivative of 8*k**2 + 0*k + 1/6*k**5 + 5/24*k**4 + 0 - 1/120*k**6 - 8/3*k**3. What is the remainder when h(10) is divided by 9?
7
Suppose -g - 10*q + 6*q + 293 = 0, 5*g + q = 1389. Calculate the remainder when g is divided by 47.
42
Let y(l) = 5*l**2. Suppose -14 = -7*p - 7. What is the remainder when 19 is divided by y(p)?
4
Let v(x) = -x**3 + x**2 + x + 33. Let z be 0/(-5 + 1 - -3). Let r be v(z). What is the remainder when 20 is divided by (2/6)/(1/r)?
9
Suppose 0 = -2*f - 4*k + 32, -4*f + k = 3*k - 64. Suppose 0*u = 5*u - 145. What is the remainder when u is divided by f?
13
Let m(q) = -q**3 - 11*q**2 - 9*q + 20. Calculate the remainder when m(-10) is divided by (-136)/(-36) - 4/(-18).
2
Suppose -27*k - 877 = -2848. What is the remainder when 656 is divided by k?
72
Suppose 261*k - 259*k - 4 = 0. Calculate the remainder when 13 is divided by k.
1
Let r(o) = o**3 - 22*o**2 - 23*o + 49. What is the remainder when r(23) is divided by 13?
10
Suppose -i + 156 + 280 = 0. Calculate the remainder when i is divided by 23.
22
Let g be (-6)/(-2) + 2*-1. Suppose 0 = 5*f + g + 4, -y + 15 = -2*f. Suppose -b = 3*a - 27, a - y - 6 = 3*b. Calculate the remainder when 39 is divided by a.
9
Suppose 0 = -4*x + 23 - 7. Suppose 12 + x = 4*q. Calculate the remainder when (-1)/(-2) + 158/q is divided by 14.
12
Calculate the remainder when 60/(-9)*(-756)/90 is divided by 21.
14
Let x = 24 - 9. Let b = -2163 + 2171. Calculate the remainder when x is divided by b.
7
Let p(y) = -4 - y**3 - 4*y + 7*y**2 + 0 + y - 4. Let b be p(4). Suppose b = 4*m + 8. What is the remainder when 19 is divided by m?
4
Let i(n) = n**3 - 8*n**2 + 7*n - 4. Let l be (-12)/(-2) - (-18 + 17). Let x be i(l). What is the remainder when 37 is divided by (60/(-8))/(3/x)?
7
Let c(b) = 5*b**2 + 26*b + 112. Calculate the remainder when 329 is divided by c(-5).
8
Calculate the remainder when 321 is divided by (119/(-17))/((-1)/2).
13
Let t = 35 - 22. Calculate the remainder when 22 is divided by 208/t*1/2.
6
Suppose k = 426 - 252. What is the remainder when k is divided by 63?
48
What is the remainder when 3283/35 - -9 - (-2)/10 is divided by 16?
7
Let b(v) = 14*v - 22. Let x(i) = 29*i - 44. Let f(l) = -13*b(l) + 6*x(l). What is the remainder when f(0) is divided by 5?
2
Suppose -4*g - 2*t + 187 = -155, -165 = -2*g + t. Calculate the remainder when 501 is divided by g.
81
Let v = 868 + -1234. Let j be (-12)/(-30) - v/10. Let q = j + -23. What is the remainder when 53 is divided by q?
11
Let s = 1103 - 1076. What is the remainder when 73 is divided by s?
19
Let d(o) = 17*o**2 - 3*o + 2. Calculate the remainder when d(2) is divided by ((-26)/6)/(6/(-18)).
12
Suppose -7*r + 588 = -4*r. What is the remainder when r is divided by 18?
16
Let i(r) = 16*r**2 - 16*r - 51. Let w(t) = 3*t**2 - 3*t - 10. Let d(b) = -2*i(b) + 11*w(b). What is the remainder when d(-6) is divided by 13?
8
Suppose -3*j + 8 = a - 4, -3*j = -2*a + 69. Suppose -m - b - 9 = 0, -a = 3*m + 2*b - b. What is the remainder when 73 is divided by m/18 + 51/2?
23
Suppose -4*q = 3*f - 52, 3*f - 4*q = f + 28. Let p = f + -8. Suppose r - 6 - p = 0. What is the remainder when 55 is divided by r?
13
Let a(i) = -i + 47. Calculate the remainder when a(0) is divided by 10 + 4/4 - 3/(-3).
11
Let r = -871 - -1076. What is the remainder when r is divided by 98?
9
Let n = 22 + -9. Suppose -184 = 3*v - 5*v. Suppose -3*c - 2*o = -v - 29, 5*o = -2*c + 99. Calculate the remainder when c is divided by n.
11
Let d(n) = -n**3 + 3*n**2 + n. Let z be d(-1). Suppose -2*b + 49 = -z*f, 4*b - 2*f - 93 = -f. Calculate the remainder when b is divided by 8.
7
Let y(v) be the first derivative of -v**4/4 - 10*v**3/3 - 3*v**2 - 4*v + 22. What is the remainder when y(-11) is divided by 23?
22
Let t(m) = m - 13. Let b be t(7). Let l = 21 + -11. Calculate the remainder when 8/b*(-216)/16 is divided by l.
8
What is the remainder when 38 is divided by 10/35 + 201/7 - 1?
10
Suppose 3*r + 0*r = 6, 2*r - 12 = -4*x. Calculate the remainder when 64 is divided by 21 - (x + -2 - (2 - 0)).
18
Suppose 4*p + 2*o - 52 = -0*p, 3*p - o = 44. Calculate the remainder when 460 is divided by p.
12
Let n(w) = 2*w**3 - 7*w**2 - 10*w - 10. Calculate the remainder when 59 is divided by n(5).
14
Let x = -76 - -75. Let v(a) be the first derivative of -41*a**2/2 + 2*a + 2. What is the remainder when v(x) is divided by 15?
13
Let i(s) = s**3 + 10*s**2 - 3*s - 3. Let z be i(-10). Calculate the remainder when 77 is divided by 3/(z/186) - (-9)/27.
14
Let f be (-4 + 3)*2 - -20. Suppose f + 210 = 2*p. Suppose 2*d = 4*d - p. What is the remainder when d is divided by 15?
12
Suppose -1 = -i + 3*t - 2, 5*i - 27 = -t. Suppose -o - o + 12 = -3*b, 72 = i*o + 3*b. Suppose -980 = -55*u + 6*u. What is the remainder when u is divided by o?
8
Let r be 1476/(5 + -11) - (-2 + 2). Calculate the remainder when 99 is divided by r/(-24) + (-1)/4.
9
Let u(z) = -z**2 + 10*z. Let l be u(10). Let t be (l - 1)/(1/(-16)). What is the remainder when 47 is divided by t/(-72) + 436/18?
23
Suppose -37 = -3*i + 62. Suppose 2*o - 51 = c, 3*o - i = 2*o + 3*c. What is the remainder when 35 is divided by o?
11
Suppose -273 = 9*a - 10*a. Suppose -g = -132 - 7. Suppose r + g = 2*q, -3*q - 77 = r - a. What is the remainder when q is divided by 14?
11
Let y(j) = -10*j - 99. What is the remainder when 141 is divided by y(-13)?
17
Let j(u) = 4*u + 32. Let q(c) = c**2 + 8*c - 10. What is the remainder when j(4) is divided by q(-10)?
8
Let k = -35 - -53. Let r(s) = -4*s - 7. What is the remainder when k is divided by r(-3)?
3
Let b(h) = -h**3 - 6*h**2 - 6*h + 2. Calculate the remainder when b(-6) is divided by 21/(-28)*(-240)/9.
18
What is the remainder when -1 - -117 - (-16)/(-4) is divided by 23?
20
Let d = -44 + 70. Calculate the remainder when 24 is divided by 12/6*d/4.
11
Let x be (-1)/(2*(-4)/(-8)). Let b(o) = 22*o**2 + 2*o + 1. Let k be b(x). Suppose -5*s = 3*z - k, 2 + 1 = -s. Calculate the remainder when 46 is divided by z.
10
Let f(t) = 2*t - 62. What is the remainder when 29 is divided by f(35)?
5
Let q = -1287 + 1318. Calculate the remainder when 134 is divided by q.
10
Let u(b) = -b**3 + 4*b**2 - 2. Let g be u(3). Let l = 7 - g. Suppose l = -2*y - 2*y + 28. Calculate the remainder when 19 is divided by y.
5
Let j(m) = m**2 - m - 11. What is the remainder when j(6) is divided by 10?
9
Suppose -24*i = -5391 - 4065. What is the remainder when i is divided by 3?
1
Let z = 136 + -133. What is the remainder when 16 is divided by z?
1
Let y(p) = -18*p**3 + 6*p**2 + 7*p - 5. What is the remainder when y(-2) is divided by 26?
19
Let c = -51 - -104. Suppose -311*o + 6296 = 698. What is the remainder when c is divided by o?
17
Calculate the remainder when 152*(3 + (-20)/8) is divided by 21.
13
Let y(q) = -13*q - 200. What is the remainder when 8 is divided by y(-16)?
0
Suppose 25*p = 24*p + 2. What is the remainder when 634/10 - (0 - p/(-5)) is divided by 24?
15
Let o(m) = -3*m + 17. Let f(x) = x**2 - 8*x - 4. Let y be f(9). What is the remainder when o(y) is divided by 1?
0
Let p be 199/(-2)*4 - 1. Let w = 4037 - 4023. Calculate the remainder when p/(-15) - 4/(-10) is divided by w.
13
Suppose 3*a + 596 = c + 4*a, 0 = -3*c - a + 1796. Calculate the remainder when c is divided by 14.
12
Let z = -344 + 374