 when 10/20 - 43/(-2) is divided by d.
6
Let w be 1/(-2 + (-11)/(-6)). Calculate the remainder when 174/8 + 2/8 is divided by 120/(-18)*w/5.
6
Let x(v) = v**3 - 4*v**2 + 2*v + 4. Let y be x(3). Calculate the remainder when 20 + 3 - -3 - y is divided by 14.
11
Let n = 10 - 6. Let i(z) = -2*z**2 + 2*z - 1. Let o be i(1). Calculate the remainder when n is divided by o/(-1*3/9).
1
Suppose -3*j - 4*h + 45 = 2*j, 4*j - 4*h = 0. Let z = 7 - 3. Let m = 10 + z. What is the remainder when m is divided by j?
4
Calculate the remainder when 160 is divided by (-162 + 0)*5/(-15).
52
Let g = 9 + -4. Let o(q) = 2*q**2 - 3*q - 9. Let s be o(-7). Suppose 45 = x - g*n, 3*x - 2*n = -2*x + s. What is the remainder when 39 is divided by x?
19
Let g = -9 - -27. Suppose -5*s = -a - 18, -s - s = -5*a + 2. Suppose w = 2*u - 103, -u + 3*u + a*w - 112 = 0. Calculate the remainder when u is divided by g.
17
Let r = 9 - -19. Suppose 4*b - 44 = -5*u, 2*u + 0*b = b + r. What is the remainder when u is divided by 7?
5
Let p(w) = -w**3 + 5*w**2 - w + 13. Calculate the remainder when p(4) is divided by 6.
1
Suppose 0 = 17*v + v - 936. Calculate the remainder when 151 is divided by v.
47
Let p = -12 + 24. Calculate the remainder when (3 + 1)/8*46 is divided by p.
11
Let j = 1 - -3. Suppose -j*r + 2*r = -50. Let d = -75 - -84. What is the remainder when r is divided by d?
7
Suppose -12 = -3*k, -4*s + 12 = -0*s - 5*k. Let w be (-8)/32 + 38/(-8). What is the remainder when s is divided by (12/10)/((-2)/w)?
2
Suppose 9 = -3*k - 4*x + 2, 3*x + 30 = -5*k. Let m = 10 + k. What is the remainder when 1 is divided by m?
0
Let t = 40 - -17. What is the remainder when t is divided by 14/21*(-45)/(-2)?
12
Calculate the remainder when (-54)/(-4)*260/39 is divided by 31.
28
Let i = 29 + -15. Let m(p) = -p**3 - 4*p**2 - p + 4. Calculate the remainder when i is divided by m(-4).
6
Let o = -26 + 76. Let s = -134 - -147. Calculate the remainder when o is divided by s.
11
Let z = 5 - 2. Suppose -4*s - 2*y - 2 = -24, -47 = -4*s + z*y. Suppose -2*m = -4 - 40. Calculate the remainder when m is divided by s.
6
Let f = -39 + 57. Let s = -103 + 144. Suppose 0 = x + 3*m - 13, -3*x + f = -m - s. Calculate the remainder when 56 is divided by x.
18
What is the remainder when ((-14)/(-7))/((-2)/(-5)) is divided by 4?
1
Suppose 2*i = 3*w - 8*w + 791, 5*i = 15. Calculate the remainder when w is divided by 40.
37
Let v(q) = -q**3 + q**2 + 13. What is the remainder when 129 is divided by v(0)?
12
Let c = -3 - -12. Let n(o) = -o**3 + 8*o**2 + 14*o - 13. What is the remainder when n(9) is divided by c?
5
Let i = -286 + 407. Calculate the remainder when i is divided by 41.
39
What is the remainder when -9*(4 - ((-37)/(-3) + -4)) is divided by 20?
19
Let i = 2 - 1. Let j(d) = 5*d. Suppose 0 = m + t - 3 - 6, -m = -3*t - 5. What is the remainder when m is divided by j(i)?
3
Let y(l) = -l**2 + 8*l - 5. Let n be y(7). Suppose -n*w + 7 = u - 0*u, -5*u - w + 53 = 0. What is the remainder when 18 is divided by 0/(-1) + u - 1?
8
Let f(o) = 15*o**2. Let c be f(-1). Suppose p = 3, r + p = -3*p + c. Suppose r + 5 = 4*b. Calculate the remainder when b is divided by 2.
0
Suppose 4*a - 3*i - 140 = -i, 5*a = 3*i + 175. Calculate the remainder when 103 is divided by a.
33
Suppose 0 = 3*h - 27 + 6. Suppose -m + h = -2. What is the remainder when m is divided by 2?
1
Let s be (15/30)/(2/(-12)). Let x be 0 + 0 + (1 - 10). Calculate the remainder when s/(x/3) + 2 is divided by 3.
0
Suppose -y = y - 4. Suppose 0 = y*x + 2*x - 80. Let f = 75 - 17. What is the remainder when f is divided by x?
18
Suppose -2*f + 10 = -10. Calculate the remainder when 25 is divided by f.
5
Let o = 154 + 434. What is the remainder when ((-2)/4)/((-7)/o) is divided by 11?
9
Suppose 0 = -2*a - 3*b + 37, 68 = 3*a + a + 4*b. What is the remainder when a is divided by 4?
2
Let j(n) = -n**2 - 6*n - 1. Let m be j(-5). Let o(b) = 5*b - 2. What is the remainder when o(m) is divided by 5?
3
Suppose -3*o + f = -65, -9*f = 4*o - 12*f - 90. Let m(n) = -n**2 + 6*n + 1. What is the remainder when o is divided by m(5)?
3
Let o = 108 + -67. Let x(g) = -g**3 - 4*g**2 + 6*g - 1. Let t be x(-6). Let m = -21 + t. Calculate the remainder when o is divided by m.
13
Suppose 5*t + 25 = -5*y, 0 = -2*y + 3 + 1. Let d(c) = 11*c**2 + 2*c - 1. Let f be d(1). Let h = f + t. What is the remainder when 13 is divided by h?
3
Suppose -63 = 3*a - 6*a. Let l(h) = h**2 + 6*h - 21. What is the remainder when a is divided by l(-9)?
3
Let j(h) = 8*h + 1 + 0 + 2*h**2 - 4. What is the remainder when ((-10)/(-30))/((-2)/(-246)) is divided by j(-6)?
20
Let q(f) = 3*f + 34. Calculate the remainder when q(-5) is divided by 10.
9
Let o(i) = i**3 - 11*i**2 + 11*i + 2. What is the remainder when 57 is divided by o(10)?
9
Suppose -36 = -4*d + 48. What is the remainder when d is divided by 11?
10
Let w(d) be the first derivative of 9*d**2 - 2*d + 3. What is the remainder when w(6) is divided by 27?
25
Suppose 6*a = -3*u + a + 56, -2*u + 36 = 3*a. Let k be 2 + -1*15/(-1). Let d = k - -18. What is the remainder when d is divided by u?
11
Suppose 0 = f - 5*f. Let x = 18 - f. Calculate the remainder when 158/3 + 2/(-3) is divided by x.
16
Suppose -5*r + 75 = -30. What is the remainder when 81 is divided by r?
18
Suppose -7*f = -81 - 52. Let t = 6 + -4. Suppose 0 = t*r - r - 3*a - 41, 3*r - 5*a = 143. What is the remainder when r is divided by f?
18
Let b(g) = -g**2 - 7*g + 10. Let d(m) = -2*m - 5. Let c be d(-5). Suppose -h - 3 = -c. What is the remainder when h is divided by b(-8)?
0
Suppose 5*w - 26 - 34 = 0. Let j be (-3)/((-2)/(-4)*-2). Calculate the remainder when 22 - (0/j)/3 is divided by w.
10
Let p be (-84)/8 + 2/4. Let m = 19 + p. Let v = -7 + m. What is the remainder when 3 is divided by v?
1
Suppose 16*a - 17*a = 0. Let c(y) = 2*y**2 + 2*y - 1. Let u be c(1). Suppose 4*o - u*k - 7 - 13 = a, 0 = 2*k - 8. What is the remainder when 14 is divided by o?
6
Calculate the remainder when 0/(-6) - (-57 + 0) is divided by 20.
17
Let f = -148 + 262. Suppose -f - 78 = -3*n. Calculate the remainder when n is divided by 22.
20
Let v be 36/(-3) - (1 - 5). Let f = v - -17. What is the remainder when 17 is divided by f?
8
Let p(o) = -9*o**2 - 5*o - 1. Let x(z) = 10*z**2 + 6*z + 1. Let l(c) = -6*p(c) - 5*x(c). What is the remainder when 31 is divided by l(-2)?
14
Let u = -4 + 13. Let v = u + -6. Calculate the remainder when v is divided by 3.
0
Suppose -2*r + 19 = d, 0 = 4*r - 3*r + 5*d + 13. What is the remainder when 22 is divided by r?
10
Let a(k) = -25*k**3 - 2*k**2 - k. Calculate the remainder when a(-1) is divided by 7.
3
Let p = -21 - -25. What is the remainder when 15 is divided by p?
3
Suppose 0 = s - 5*s + 84. What is the remainder when s is divided by 11?
10
Let z(d) = d**3 + 2*d**2 - d + 23. What is the remainder when z(0) is divided by 9?
5
Calculate the remainder when 14 is divided by ((-88)/22)/((0 - 1)/2).
6
Suppose 4*p - 25 - 59 = 0. What is the remainder when 62 is divided by p?
20
Suppose 3*c = 2*s + 70, 2*c - 42 = c - 4*s. Suppose 0 = 5*a - 64 - c. What is the remainder when 34 is divided by a?
16
Suppose -115 + 5 = -5*o. Calculate the remainder when 86 is divided by o.
20
Suppose -2*t - 3*s + 17 = 5, 0 = -5*t - s + 43. Let b(r) = -r**3 + 9*r**2 + r + 6. What is the remainder when 43 is divided by b(t)?
13
Let p(d) = -d**3 + d + 74. Suppose 0 = 2*w - 2*x - 0 + 10, 0 = -w - 5*x + 25. Let y be p(w). What is the remainder when -2*(y/(-4) + -2) is divided by 14?
13
Let z(d) = 3*d**2 + 2*d - 6. Let m be (-2)/(-5) + 27/(-5). Suppose 6*p - 49 = 4*p - 3*w, 0 = 5*p - w - 97. What is the remainder when z(m) is divided by p?
19
Suppose w + 1 = -4*z, 0 = -2*w + 2*z + 3 + 5. Suppose -4*d = -5*l + 19 + 25, -l + 11 = -w*d. What is the remainder when 30 is divided by l?
6
Let n = -114 - -162. What is the remainder when n is divided by 25?
23
Suppose 8 = -4*j + 660. What is the remainder when j is divided by 41?
40
Let o(b) = 2*b**2 - 3*b - 2. Calculate the remainder when 23 is divided by o(-2).
11
Let v(x) = -x**3 - 2*x**2 + 5*x + 2. Let l be v(4). Let s = 151 + l. What is the remainder when s is divided by 20?
17
Suppose -4*p = -5*q - 75 - 22, p + 5*q = 18. Let o = p - 13. What is the remainder when 28 is divid