
6
Let w(z) = -3*z - 2. Calculate the remainder when w(-8) is divided by 8.
6
Let o(z) be the third derivative of -z**5/60 - z**4/24 + 29*z**3/6 + 5*z**2. Calculate the remainder when o(0) is divided by 8.
5
Let w(a) = a**3 + 9*a**2 + 8*a. Let q be w(-6). Let x = q + -26. Calculate the remainder when 66 is divided by x.
32
Let z = -45 + 72. What is the remainder when 106 is divided by z?
25
Let h(p) = -7*p. Let f be h(-1). Suppose 209 = 5*v - 2*u, 0 = 3*v + 3*u - f - 131. Calculate the remainder when v is divided by 11.
10
Let t(k) be the second derivative of -k**3/3 - k**2/2 - 2*k. Calculate the remainder when 78/(-6)*(0 - 1) is divided by t(-3).
3
Suppose -4 + 0 = -q. Let h(t) = 2*t**3 - 7*t**2 + 6*t - 5. What is the remainder when h(q) is divided by 12?
11
Let s(j) = -4*j + 8. Calculate the remainder when 69 is divided by s(-4).
21
Suppose 0 = -5*b + 3*v + v + 48, 0 = -2*b + 5*v + 26. Calculate the remainder when 20 is divided by b.
4
Suppose 3*r - 18 = -2*k + 5*k, -r + 18 = -5*k. Let q = 53 + k. What is the remainder when q is divided by 17?
16
Let t(b) = b**2 + 3*b - 4. Let c be t(-8). Let h be (c/16)/(1/12). Suppose 5 = -m + h. Calculate the remainder when m is divided by 8.
6
Let f = 128 - 36. Calculate the remainder when f is divided by 19.
16
Suppose 34 = 2*w + 3*d, 4*w + d - 77 = -9. What is the remainder when w is divided by 9?
8
Suppose 3*g - 56 = -2*u, 0*g + g + 126 = 4*u. What is the remainder when u is divided by 11?
9
Suppose 0 = -4*k - 0*k + 68. Suppose -4*w + k = 5. Suppose -2*q = -w - 25. What is the remainder when 26 is divided by q?
12
Suppose -2*c + 444 = 2*c + 2*s, -2*c + s + 222 = 0. What is the remainder when c is divided by 33?
12
Suppose 2*z + 196 = 4*t, -92 = -4*t + 3*z + 102. Suppose -5 = 5*l, 12 = o + 2*l - 3. Calculate the remainder when t is divided by o.
16
Suppose -6*a + 4*a = j - 28, -2*j + 31 = -a. Calculate the remainder when 69 is divided by j.
15
Suppose -7 = -7*b + 6*b. What is the remainder when 20 is divided by b?
6
Let b be -3*1*(3 - 4). Let i = -15 - b. Let u = i - -29. What is the remainder when 20 is divided by u?
9
Suppose -5*h - 15 = -v, -v = -4*v - 2*h + 96. Calculate the remainder when 116 is divided by v.
26
Let a = -5 + 0. Let x(v) = -7*v - 4. What is the remainder when x(a) is divided by 11?
9
Let f(c) = c + 4. Let u be f(-10). What is the remainder when 13 is divided by u*-4*2/6?
5
Let o(z) = -5*z + z + 4 + 3*z. Suppose 2*x + 3*n - 13 = -0*n, 2*n = -4*x + 14. What is the remainder when o(0) is divided by x?
0
Let f = -46 + 83. Calculate the remainder when f is divided by (38/2)/((-1)/(-1)).
18
Suppose 8*q - 3*q - 10 = 0. Suppose 0 = 2*i + d + q*d - 11, -d = i - 8. Calculate the remainder when 38 is divided by i.
12
Let v(u) = 15*u + 39. Let x(i) = 7*i + 19. Let b(r) = -6*v(r) + 13*x(r). Calculate the remainder when 7 is divided by b(-10).
1
Suppose -g - 3*x = -6*g + 147, -4*g + 5*x = -128. Suppose -326 = -4*z + 3*y, 4*z + 4*y - 180 = 132. Calculate the remainder when z is divided by g.
26
Suppose 7*b + 2*t - 23 = 2*b, 4*t = -b + 1. Calculate the remainder when 43 is divided by 12/(-20) - (-58)/b.
10
Let a = -125 + 134. Calculate the remainder when 20 is divided by a.
2
Suppose -2*m - 26 = -3*p - 4*m, 2*m = -p + 6. Let z = -3 + 8. Suppose 4*f + 12 = w, 4*f - 261 + 105 = -z*w. Calculate the remainder when w is divided by p.
8
Suppose 0 = 3*w + 5*z - 65 - 60, -z + 109 = 3*w. Calculate the remainder when 137 is divided by w.
32
Let v = 11 - 18. Let d = -3 - v. Suppose 0 = 3*h - d - 5. Calculate the remainder when 4 is divided by h.
1
Let g = 3 + 3. Suppose n - 16 = -q, -2*q - 67 = -g*q - 5*n. Suppose 0 = 2*p - 3*h - q, 6*p + 5*h - 81 = 2*p. What is the remainder when 26 is divided by p?
12
Let a be (-12)/(1/((-6)/9)). Suppose -4 = 4*w + a. Let o(y) = -6*y - 3. Calculate the remainder when o(w) is divided by 8.
7
Let g(y) = -y**3 - 5*y**2 - 6*y - 2. Let h(f) = f**3 - 10*f**2 + 7*f + 13. Let l be h(9). What is the remainder when 83 is divided by g(l)?
27
Let o(j) = j**3 - 2*j**2 - 4*j - 3. Calculate the remainder when o(5) is divided by 27.
25
Suppose 11*j + 144 - 386 = 0. Calculate the remainder when 128 is divided by j.
18
Suppose 2*y = -4*b - 153 + 623, -2*b = 5*y - 239. Calculate the remainder when b is divided by 17.
15
Let n = -12 + 28. Suppose -b = -5*b + n. Calculate the remainder when b is divided by (1 + 3 - 1)/1.
1
Let p = -108 + 156. Calculate the remainder when 142 is divided by p.
46
Suppose 2*h + 100 = 3*j + 14, 52 = j + 4*h. Calculate the remainder when j is divided by 12.
8
Let j = 120 - 105. What is the remainder when 29 is divided by j?
14
Let t = 4 + -2. Let h(l) = 2*l**2 - 4*l + 3. Calculate the remainder when (-17)/t*(0 + -2) is divided by h(3).
8
Suppose 0*q = -q + 16. Calculate the remainder when 63 is divided by q.
15
Let a = -42 - -53. What is the remainder when 18 is divided by a?
7
Let d(s) = -s**3 + 10*s**2 - 11*s - 3. Calculate the remainder when d(8) is divided by 10.
7
Let c = 2 + 2. Let w = c - 5. Let f(m) = -4*m**3 - 2*m**2 - 2*m - 1. What is the remainder when 7 is divided by f(w)?
1
Calculate the remainder when 10/(-15)*(-126)/4 is divided by 6.
3
Let m(z) = -z**2 - z + 17. Let b be m(0). Let c = 180 - 77. Suppose c = 4*s - b. Calculate the remainder when s is divided by 16.
14
Suppose -1 = 2*n - 3. Let b(h) = 87*h - 4*h - 1 - 15*h. What is the remainder when b(n) is divided by 23?
21
Let p(v) = v**2 + 2*v - 2. What is the remainder when (2 + 0 + -1)*22 is divided by p(-4)?
4
Suppose 4*v + 4 = -4*r + 16, -5*r + 15 = 3*v. Suppose -4*z = 2*w - 52, 5*w = z - v - 2. Calculate the remainder when 59 is divided by z.
11
Let f(d) be the first derivative of -d**2/2 + 52*d - 9. Calculate the remainder when f(0) is divided by 18.
16
Let z be -1 - (3 + 6*-1). Suppose 5*n - 30 = p - 6*p, -n + z*p = -9. What is the remainder when 27 is divided by n?
6
What is the remainder when 51 is divided by -1*3*(4 + -13)?
24
Let k(s) = -s + 2. Let b be k(-6). Suppose -x - b = -3*x. What is the remainder when (6 + -5)*x/1 is divided by 2?
0
Let p(a) = 91*a**2 - 1. Let i be p(2). Suppose -5*o - 115 = -4*g - 566, -i = -4*o + g. Calculate the remainder when o is divided by 31.
29
Suppose -45 = -n + 6*p - p, 271 = 5*n - 2*p. Calculate the remainder when n is divided by 14.
13
Let a(n) = 6*n - 68. What is the remainder when 115 is divided by a(13)?
5
Suppose 48 + 174 = 6*m. Suppose -a + 14 = 1. Calculate the remainder when m is divided by a.
11
Let d = -12 - -5. Let v(o) = o**3 + 8*o**2 + 6*o + 5. Suppose t + 175 = 5*c, -5*c + 3*t + 212 = 27. Calculate the remainder when c is divided by v(d).
10
What is the remainder when 42 is divided by (-3)/(-15) + (-109)/(-5)?
20
Let x = 44 - 0. Suppose j + 4*c = -6, 0 = 3*j + 2*c - 3*c + x. Let b = 28 + j. What is the remainder when 26 is divided by b?
12
Suppose 4*q - 2*q - 2 = 0, 0 = -4*t - q + 581. Calculate the remainder when t is divided by 37.
34
Let p(c) be the first derivative of -1 + 7/3*c**3 - c + 0*c**2. Calculate the remainder when p(1) is divided by 2.
0
What is the remainder when 90 is divided by 224/10 - (-15)/25?
21
Suppose -12 = 4*c, 0 = -5*o - 0*o - 3*c - 14. Let u be -1*(-44)/(-2) + o. Let z = u - -32. Calculate the remainder when z is divided by 5.
4
Let w = -11 + 18. Calculate the remainder when w is divided by 0 - (-4 + 0/(-1)).
3
Suppose 3*h + 2*r - 167 = 0, -5*r + 63 + 116 = 3*h. What is the remainder when h is divided by 14?
11
Let k = 2 - -1. What is the remainder when 5 is divided by k?
2
Let n(q) = -q + 1. Let p(l) = -5*l - 10. Let y(u) = -6*n(u) - p(u). What is the remainder when y(7) is divided by 21?
18
Let a = -84 + 105. Calculate the remainder when 59 is divided by a.
17
Let i = -6 + 8. Suppose 0 = -5*q - 0*q + 125. Suppose -3*x + q = i*g - 63, 3*g = 5*x - 172. Calculate the remainder when x is divided by 17.
15
Suppose 5*d = -5*r + 55, 0 = -d + 3*r - 0*r - 5. What is the remainder when 25 is divided by d?
4
Suppose 2*x - 25 = x. Let q = 9 + 0. What is the remainder when 0*(-2)/4 + x is divided by q?
7
Suppose -15 = -8*o + 3*o. Let p(d) = d**2 - 3*d - 2. Suppose -7*a = -0 + 7. Calculate the remainder when o is divided by p(a).
1
Let j(m) = -46*m**3 - 3*m**2 + 2. What is the remainder when 174 is divided by j(-1)?
39
