remainder when b is divided by d.
17
Let l(b) = -b + 2. What is the remainder when 5 is divided by l(-1)?
2
Suppose 4 - 6 = -3*q - 2*t, -14 = -q + 2*t. Suppose -3*r + q*r + 30 = 0. Calculate the remainder when 1 + (0 - r)/3 is divided by 6.
5
Let h be 2*3/(-2) - -15. Suppose 3*j + 3 - h = 0. Suppose -x - 14 = -3*q, 3*q + 19 = -5*x + 3. Calculate the remainder when q is divided by j.
0
Suppose -2*y + 28 = -2*o, 5*o = -0*o - 20. Calculate the remainder when 26 is divided by y.
6
Suppose 26 = l + l. Suppose 15 = 2*i - l. Calculate the remainder when i is divided by 8.
6
Suppose 4*h - 10 = c, 0 = 5*h - 6 - 9. Suppose 3*d - c*d - 24 = f, 2 = -2*f. Calculate the remainder when d is divided by 13.
10
Suppose -2*n - 97 = -5*z, 6 = -5*z + 4*n + 95. Suppose 42*l - 2296 = 14*l. What is the remainder when l is divided by z?
19
Let g(j) = j**2 + 10*j + 11. Let t be g(-9). Let c be 3/t*(-40)/(-15). Suppose -d + 60 = c*d. What is the remainder when 22 is divided by d?
10
Suppose 2*t + 8 = 126. What is the remainder when t is divided by 15?
14
Suppose 5*h - 10*h + 50 = 0. Calculate the remainder when 38 is divided by h.
8
Let u = -4 - -4. Suppose c - 36 = 4*x, -3*x + 5*x + 2*c + 18 = u. Calculate the remainder when ((-6)/x - 1)*-9 is divided by 2.
1
Suppose 0*n - 21 = -3*n. Suppose -n*q - 14 = -9*q. Calculate the remainder when 3/3 - -3*6 is divided by q.
5
Let b(h) = -3*h - 6. Let q(x) = -3*x - 7. Let t(y) = -5*b(y) + 4*q(y). Calculate the remainder when t(6) is divided by 7.
6
Let k = 37 - -4. Calculate the remainder when k is divided by 22.
19
Suppose j - i + 2*i = 8, 3*j = -2*i + 23. Let b(d) = -d**3 + 6*d**2 + 8*d + 7. Calculate the remainder when b(j) is divided by 8.
6
Let y(t) = -2*t**3 - 6*t**2 + 3*t - 6. Calculate the remainder when y(-5) is divided by 16.
15
Let u = -3818 - -6268. Suppose 2*y - u = -5*w, 2*w - 5*y = -3*y + 980. What is the remainder when 31 is divided by w/30 + 1/(-3)?
15
Suppose -2*c = 2*b - 16, 4 = 4*c + 3*b - 23. Suppose 3*w + 2*d - 46 = 24, 118 = 5*w + c*d. What is the remainder when 75 is divided by w?
23
Suppose -4*m = -11 - 25. Calculate the remainder when 17 is divided by m.
8
Suppose -34*l - 15 = -117. Let m = 3 + 4. What is the remainder when m is divided by l?
1
Suppose 4*n - 145 = -45. What is the remainder when 98 is divided by n?
23
Let d(t) = 7*t - 2. Let y(f) = -6*f + 1. Let c(s) = 5*d(s) + 6*y(s). Let a be c(-7). Suppose 0 = a*l - 14 - 7. What is the remainder when l is divided by 3?
1
Suppose -p - 805 = -6*p. Calculate the remainder when p is divided by 41.
38
Let s(o) = -o + 2. Let m be (-1)/3 - 33/9. Calculate the remainder when 9 is divided by s(m).
3
Let f(w) = w**3 + 5*w**2 - 4. Let a be f(-5). Let z(l) = 2*l**2 + 7*l + 4. What is the remainder when z(a) is divided by 3?
2
Suppose 18 + 2 = 5*p. Suppose 0 = -p*x + 36 + 4. Calculate the remainder when 19 is divided by x.
9
Suppose -4*y = 0, 0 = 5*n - 4*n - 4*y - 3. Calculate the remainder when 1/(2/(-16)*-2) is divided by n.
1
Let n = -9 + 12. Calculate the remainder when 7 is divided by n.
1
Let d(w) = 2*w + 1. Let g be d(1). What is the remainder when 38/(2/(-1 + g)) is divided by 10?
8
Calculate the remainder when ((-255)/30)/((-2)/4) is divided by 3.
2
Let i be 170/25 - (-2)/10. Suppose 2*k = 17 - i. Calculate the remainder when (-2 - 10)*3/(-2) is divided by k.
3
Suppose 78 = 9*b - 7*b. What is the remainder when 114 is divided by b?
36
Suppose -3*l = -l - 2. Calculate the remainder when 30 is divided by -3 - (l + -2)*11.
6
Suppose 3*t = 2*g + 3*g - 5, -31 = -3*t - 4*g. What is the remainder when t/35 + 292/14 is divided by 8?
5
Let w = -10 - -15. Let p be 1*-2*(-6)/(-12). What is the remainder when w is divided by (-3)/2*p*2?
2
Let k(m) = 4*m - 2. What is the remainder when ((-29)/(-4))/((-10)/(-80)) is divided by k(8)?
28
Let z = -4 + 5. Let d be z/((-6)/(-4) - 2). Calculate the remainder when (1 - (7 + 0))/d is divided by 2.
1
Suppose -t - 38 = -3*t - 3*v, 0 = t + 2*v - 19. Calculate the remainder when t is divided by 6.
1
Let d = 35 - 29. What is the remainder when 11*(-1*2)/(-2) is divided by d?
5
Let r(a) = -a**3 - a**2 + a + 77. Calculate the remainder when r(0) is divided by 20.
17
Let o(i) = 3*i - 1. Let w be 1/(-4) - 164/(-16). Let a = 18 + -10. Calculate the remainder when o(w) is divided by a.
5
Let s = -69 + 169. Suppose -s = 4*p - 9*p. What is the remainder when p is divided by 7?
6
Let l be (-10)/(-35) - (-10)/14. Let p be -2*(l - 0) + 4. What is the remainder when 1/(2/49)*p is divided by 17?
15
Suppose i - o - 8 = 2*o, 1 = 2*i - 3*o. Calculate the remainder when 41 is divided by i/(-3 - (-5)/2).
13
Suppose 12 = -4*n + 4*p, 4*n - 2*p + 5*p = 9. Let k be 5 - (n/(-2) + 2). What is the remainder when 4 is divided by (k - 0)/(4 - 3)?
1
Let i = 31 - 21. Suppose -i - 105 = -5*a. Calculate the remainder when 89 is divided by a.
20
Suppose 5*g - 5 - 12 = 3*u, 2*u - 2 = 0. Suppose -7*i - 4*a - g = -3*i, 0 = -5*i - 3*a - 15. Let n = i - -15. Calculate the remainder when 26 is divided by n.
8
Suppose -4*n + s = -105, 5*n - s - s = 132. Calculate the remainder when 75 is divided by n.
23
Suppose 2*m + 13 = b, -2*m + 16 = 2*m. Suppose z - 28 - 33 = 0. What is the remainder when z is divided by b?
19
Let o = 25 + 10. Calculate the remainder when o is divided by 18.
17
What is the remainder when 2/(-8) + 675/12 is divided by 12?
8
Let p = -9 + 18. What is the remainder when 26 is divided by p?
8
Let d(c) = c**3 - 14*c**2 + c - 4. What is the remainder when (114/(-12))/(2/(-4)) is divided by d(14)?
9
Let h = 149 - 68. Calculate the remainder when h is divided by 28.
25
Let k = 33 + -30. What is the remainder when 12 is divided by k?
0
Let z(b) = 3*b**2 + 10*b + 1. What is the remainder when 155 is divided by z(-5)?
25
Suppose 6*q - 4*q - 128 = 0. Calculate the remainder when q is divided by 23.
18
Let q(f) = -16*f + 10. What is the remainder when q(-5) is divided by 23?
21
Let a(k) be the third derivative of 17*k**6/60 + k**3/6 - 2*k**2. Calculate the remainder when a(1) is divided by 18.
17
Suppose 62 = 3*d - q - 3*q, -2*q = 2*d - 18. Calculate the remainder when 66 is divided by d.
10
Let r(v) = -v + 36. Calculate the remainder when r(15) is divided by 8.
5
Let q(z) = -z**2 + 8*z - 3. Let t be q(7). Suppose 114 = t*c - c. What is the remainder when c is divided by 20?
18
What is the remainder when 56 is divided by ((2/(-3))/(5/435))/(-2)?
27
Calculate the remainder when 93 is divided by 72/(-15)*100/(-30).
13
Let l = -42 - -68. Suppose -10 = -p - 1. What is the remainder when l is divided by p?
8
Let f(q) = q**2 - 1. Suppose -10 = -3*w + 8. Suppose 65 = -r + w*r. What is the remainder when f(-5) is divided by r?
11
Let r(c) = -c - 9. Let l be r(4). Let u = 0 - l. Calculate the remainder when u is divided by 8.
5
Suppose 7*i = 6*i + 14. What is the remainder when 2/(-2) - (1 + -43) is divided by i?
13
Let x(m) = -m**3 + 1. Let j be x(1). Suppose 91 = -n - j*n. Let b = -50 - n. Calculate the remainder when b is divided by 21.
20
Suppose -8 = 3*y + 4*x - 2*x, -2*y - 3*x - 7 = 0. What is the remainder when (-3 + (y - -1))*-8 is divided by 9?
5
Let r(q) = 4*q**2 + 3*q - 2*q - 5*q**2 + q + 6. Let v be r(5). Let z = 13 + v. What is the remainder when z is divided by 3?
1
Let l(c) = -c**3 + 2*c**2 + 3*c + 2. Calculate the remainder when l(-3) is divided by 13.
12
Suppose -2*n = -6*n + 36. Let l(z) = -2*z - 16. Let u(c) = -c - 16. Let t(a) = 2*l(a) - 3*u(a). Calculate the remainder when t(-18) is divided by n.
7
Let a(x) = x**3 - 5*x**2 - 3*x - 4. Let s be a(5). Let j = s + 37. Suppose -i = -2*i + 69. What is the remainder when i is divided by j?
15
Suppose 3*a + 3*t - 39 - 60 = 0, 4*t + 84 = 2*a. What is the remainder when 26 is divided by (a + -1)*(-12)/(-30)?
12
Suppose -5*r + 3*r + 8 = 0. Suppose 4*t - r + 0 = 0. Calculate the remainder when 3 is divided by t.
0
Suppose -6*t + 7*t - 3 = 0. Calculate the remainder when t is divided by 1.
0
Let s be (-5538)/33 + (-6)/33. Calculate the remainder when ((-62)/6)/((-1)/3) is divided by (-3)/15 + s/(-15).
9
Suppose 3*x + 5 = -7, f + 3*x + 6 = 0. What is the remainder when 52 is divided by f?
4
Let p(t) = -t + 3. Let z be p(0). Suppose 15 = o + z*s, 4*o = 2*o + s + 16. Let m = 14 - o. What is the remainder when 