d by r.
0
Let p = -21 - -40. Calculate the remainder when 71 is divided by p.
14
Let w(s) = -4*s + 8. Let x(m) = m - 2. Let z(k) = -2*w(k) - 9*x(k). Let g be -1 + (-1 - (0 - 2)). Calculate the remainder when 3 is divided by z(g).
1
Let z = 61 + -43. Suppose a - z = -g, 0*g = -a + 2*g + 12. What is the remainder when a is divided by 9?
7
Let k(p) = -p. Let j be k(6). Let q be (3 + -18)*2/j. Suppose -w = -q*w + 24. What is the remainder when 10 is divided by w?
4
Suppose 0 = -2*m - 0*m - 10, 96 = 4*c - 4*m. Let p = -25 - -35. Calculate the remainder when c is divided by p.
9
Let q(m) = m**2 + 2*m - 5. Let l be q(-4). Suppose -2*z + 1 = l*d - 30, -17 = -d - 2*z. Calculate the remainder when 438/14 + (-2)/d is divided by 11.
9
Let q = 2 + 0. Let f be (-1 - -70) + -3 + q. Suppose 0 = 5*y - f - 57. What is the remainder when y is divided by 9?
7
Suppose -19*y = -23*y + 40. What is the remainder when 47 is divided by y?
7
What is the remainder when ((-31)/2)/(9/(-18)) is divided by 8?
7
Suppose 2*o + 3*o - 255 = 0. Calculate the remainder when o is divided by 13.
12
Let v be (-1097)/(-4) - 2/8. Suppose -54 = 5*g - v. What is the remainder when g is divided by 15?
14
Let z be (16/4)/((-2)/3). Let b = z + 11. Calculate the remainder when 7 is divided by b.
2
Suppose 0 = 4*h + b + 4*b - 15, -4*h - 2*b + 30 = 0. Calculate the remainder when 38 is divided by h.
8
Let u(b) = b**3 - 9*b**2 - 6*b - 15. Suppose n + 0*n - 14 = 0. Calculate the remainder when u(10) is divided by n.
11
Let s = -24 + 43. Suppose 0 = -4*o - 20, -5*o + 287 + 60 = 4*z. What is the remainder when z is divided by s?
17
Let z(p) = -p**2 + 34. Suppose 3*l - 5*k = -106, -2*k + 109 = -3*l - 0*k. Let x = -19 - l. Calculate the remainder when z(0) is divided by x.
16
Suppose -12*m + 48 = -9*m. Calculate the remainder when m is divided by 9.
7
Let b = -25 + 33. Suppose 3*z - 3*u = 0, 3*z + 5*u + 2 = 26. Let j = z - -2. Calculate the remainder when b is divided by j.
3
Suppose 2*i - 410 = -3*i. Suppose -i = -4*j + 78. What is the remainder when j is divided by 14?
12
Let v = 8 - 5. Suppose v*z + 0*q = -4*q + 60, -4*z + 2*q + 58 = 0. Calculate the remainder when 45 is divided by z.
13
Suppose 0 = -4*o + 9*o - 125. What is the remainder when 96 is divided by o?
21
Let o = -4 - -7. Suppose 5*y = 4*u + 30, -u - 19 = 3*y + 4*u. Suppose y*c = -0*c + d, 0 = -2*d + 8. Calculate the remainder when o is divided by c.
1
Let j(p) = -4*p**3 - 2*p**2 - p. Let c be j(-1). Suppose -v - 35 = -3*o, c*o = -0*o - v + 37. Calculate the remainder when 34 is divided by o.
10
Let z = 16 - -1. Calculate the remainder when z is divided by 9.
8
Let w(r) = r**3 - 3*r**2 - 6*r + 5. Let k be w(4). Let p(i) = i + 1. What is the remainder when ((-24)/9)/(1/k) is divided by p(2)?
2
Let u(i) = -2*i + 50. Calculate the remainder when u(17) is divided by 9.
7
Calculate the remainder when -1 - 3/(-5) - (-1428)/70 is divided by 5.
0
What is the remainder when 18 is divided by 5/(4 - (-21)/(-6))?
8
Suppose p = -5, -3*w = -w - 4*p - 56. What is the remainder when 29 is divided by w?
11
Let j = 3 - -9. Let p = -3 + 6. Suppose -p*t - a = -64, 0 = -2*a - 2 - 2. Calculate the remainder when t is divided by j.
10
Let d be ((-2)/6)/(2/(-18)). Let l = 1 - d. Let o = l - -9. What is the remainder when 27 is divided by o?
6
Suppose 5*m + 1 = -4. Let b = 21 - -10. Calculate the remainder when b is divided by (22/(-4))/(m/2).
9
Let l = -18 - -34. What is the remainder when 47 is divided by l?
15
Suppose -4*l - 2*r = -29 + 3, -4*l + 23 = 5*r. Suppose -2*j - 20 = 4*m - 0*j, 3*m = 4*j - 15. Let c = l - m. Calculate the remainder when 23 is divided by c.
11
Suppose -3*v + 17 = -4*c, 3*v - 7 - 16 = -2*c. Calculate the remainder when v is divided by 2.
1
Suppose -28 + 58 = 3*w. Let l(o) = -o**3 - 3*o**2 + 5*o. Let t be l(-4). Let q = 31 + t. What is the remainder when q is divided by w?
7
Suppose 43 = 4*b + 3*i + 2*i, 4*b = 5*i + 93. Let j = -1 + b. What is the remainder when 45 is divided by j?
13
Let d(x) = x + 2*x**2 - x**2 + 0*x. Let s be d(4). Let z = s + -13. What is the remainder when 13 is divided by z?
6
Suppose -17 = -2*u + 1. Let a be 645/21 - (-4)/14. Suppose -2*t - a = -83. What is the remainder when t is divided by u?
8
Suppose 3*b + 14 = -4*i, b + 2*i = -2*i - 2. Suppose -4*l - 4*u = -24, u - 3 + 5 = 3*l. What is the remainder when l/6 - 100/b is divided by 6?
5
Let m = -35 - -65. Suppose 2*s = -s + 30. What is the remainder when m + 2 + 1*-4 is divided by s?
8
Suppose 125 + 175 = 5*d. Calculate the remainder when d is divided by 21.
18
Let y(b) = 2*b**2 + 3*b - 31. What is the remainder when y(-7) is divided by 12?
10
Calculate the remainder when 58 is divided by 6/(-10) - (48/(-5) - 3).
10
Suppose 0 = -2*j + 5*q - 7, 5*j - 2*q - 1 = 34. Calculate the remainder when 42 is divided by j.
6
Let j(l) = l**2 - l - 1. Suppose 3*z - 5 = 7. Let g = z - 6. What is the remainder when 14 is divided by j(g)?
4
Suppose 2*j = 19 - 1. Suppose -4*h + 68 = -0*h. Calculate the remainder when h is divided by j.
8
Let v(a) = -a + 1. Let o be v(0). Calculate the remainder when 36 is divided by 50/4 - o/(-2).
10
Calculate the remainder when (-152)/(-20)*(0 - -5) is divided by 13.
12
Let i = -9 - -19. What is the remainder when i is divided by 6?
4
Suppose 0 = 7*j - 10*j. What is the remainder when 0 + j + 111/3 is divided by 19?
18
Let t(g) = -5*g - 1. What is the remainder when t(-15) is divided by 19?
17
Let k = 99 - 87. What is the remainder when (-626)/(-18) - (-2)/9 is divided by k?
11
Suppose -7*v - 55 = -3*o - 3*v, 0 = 2*v + 2. Let s = 2959 + -1147. What is the remainder when (-4)/(-14) - s/(-28) is divided by o?
14
Suppose 3*l + 4 = 4*l + 3*q, -l = 4*q - 3. Suppose 0 = l*h - 2*h - 115. What is the remainder when h is divided by (3 - -1) + (9 - 7)?
5
Let a = -10 + -3. Let m = 3 - a. Calculate the remainder when 61 is divided by m.
13
Let x(k) = 2*k - 5. Let t be x(-4). Let m = t + 21. Let r(p) = -p**3 + 9*p**2 - 6*p - 1. Calculate the remainder when 28 is divided by r(m).
13
Let j(t) = 6*t - 9. Calculate the remainder when j(3) is divided by 5.
4
Let v = 7 - 7. Suppose 8 = -4*d, -s + 5*d = -2*s + 2. What is the remainder when 35 - (2 + v/3) is divided by s?
9
Let y(o) be the first derivative of 2*o**3/3 - 5*o**2/2 - 4*o + 4. Calculate the remainder when y(6) is divided by 13.
12
Let t = 1 - 1. Suppose -f + 0*f + 5 = t. What is the remainder when 14 is divided by f?
4
Let j be 3/(1/((-3)/3)). Let y = j + 10. Calculate the remainder when y is divided by 3.
1
Let k(t) = t**3 + 5*t**2 + 2*t - 5. Let b be k(-4). Let s = -6 - -6. What is the remainder when (b/(-3) - s)*-15 is divided by 4?
3
Suppose 2*v + 1 = 7. Suppose -d + 2*c = -29, 0*d + 3*d - 84 = v*c. Calculate the remainder when d is divided by 14.
13
Let s(v) = v**2 - 4*v + 3. Calculate the remainder when 31 is divided by s(5).
7
Suppose 5*j - 5 = -p + 3*p, 0 = 4*j - 12. What is the remainder when 24 is divided by p?
4
Let w(v) be the second derivative of v**3 + 5*v**2/2 - 6*v. What is the remainder when w(4) is divided by 16?
13
Let o be (-3)/((-9)/12) + 0. Suppose o*x = 75 + 229. Suppose x + 4 = 5*h. Calculate the remainder when 31 is divided by h.
15
Suppose 3*j - 6*g = -3*g + 24, j - 2 = -5*g. What is the remainder when 12 is divided by j?
5
Let n = 146 - 68. Suppose -42 - n = -4*l. Suppose 2*j - l = -0*j. Calculate the remainder when j is divided by 8.
7
Suppose t - 6 = v, 6 - 22 = -5*t - 2*v. Suppose -t*z + 10 = z. Suppose z*m - 84 = -m. Calculate the remainder when m is divided by 10.
8
Let q(l) = -6*l - 7*l + 1 + 4*l. Let r be 3 + (1 - 2) - 4. Calculate the remainder when q(r) is divided by 10.
9
Let w = 6 - 8. Let h be (-8)/6*-3 - w. Suppose 3*u + 12 = h*u, 4*u - 48 = -2*c. Calculate the remainder when 29 is divided by c.
13
Let y(k) = 6*k + 4. Calculate the remainder when y(6) is divided by 14.
12
Let m(g) = -g**3 - 13*g**2 - 12*g + 4. Suppose 2 = 3*b - 28. What is the remainder when b is divided by m(-12)?
2
Suppose 62 = 2*a - 8. Let w(p) be the first derivative of p**3/3 + 3*p**2/2 - p - 3. Calculate the remainder when a is divided by w(-5).
8
Suppose -2*y + 59 - 155 = 0. Let w = -28 - y. What is the remainder when 37 is divided by w?
17
Suppose 0 = -5*s - z + 691, 2*s - 4*z - 2