 the remainder when p is divided by 11.
8
Let b = 18 - 9. Let l = -10 + 15. Suppose 4*d - k - 66 = -2*k, l*k - 58 = -3*d. Calculate the remainder when d is divided by b.
7
Suppose -3*f = 2*f. Suppose 0 = -4*k - f*k + a - 7, 5*a = 15. What is the remainder when (k/(-3))/((-1)/(-177)) is divided by 20?
19
Let n = 432 - 183. What is the remainder when n is divided by 42?
39
Let c = 3 - 0. Let p = 31 + -28. Suppose -3*z = -s - 6, -5*s = -p*s + z - 16. What is the remainder when s is divided by c?
0
Let x(m) = -4*m. Suppose 0 = 3*r + 13 - 4. Calculate the remainder when 59 is divided by x(r).
11
Let h = 6 + -6. Suppose -3*u = -p - h*u + 19, 0 = -u + 3. Calculate the remainder when p is divided by 10.
8
Let u(b) = 7*b**2 - 3 + 3. Suppose 15*m - 12 = 9*m. Calculate the remainder when 82 is divided by u(m).
26
Suppose -43 = -2*m + o + 96, -355 = -5*m + 4*o. Calculate the remainder when m is divided by 23.
21
Calculate the remainder when (0 + -2 - -1)*-65 is divided by 17.
14
Suppose 690 = 5*b - 2*n, 3*b - n - 54 - 361 = 0. Let i = -99 + b. Calculate the remainder when i is divided by 14.
13
Let r be 61/(-9) + 4/(-18). Calculate the remainder when 1 + (r - -4)*-17 is divided by 27.
25
Suppose -7*y = -208 - 128. What is the remainder when y is divided by 7?
6
Suppose 0 = -3*w - p + 4, 2*p - 1 - 1 = -4*w. Suppose 0 = -d + w*d - 34. What is the remainder when 33 is divided by d?
16
Suppose 5*f = -16 + 1, 0 = 4*a - 3*f - 9. Suppose a*g = -4*g + 28. Calculate the remainder when 18 is divided by g.
4
Suppose 5*g = -43 + 198. Suppose 4*m = -3*w + g, -42 = 2*w - 3*w + 5*m. What is the remainder when w is divided by 5?
2
Let d be 4/10 - (-4)/(-10). Suppose d = 2*x + 2*x - 116. Let t(n) = 16*n. Calculate the remainder when x is divided by t(1).
13
Let r = -190 - -430. What is the remainder when (2/(-4))/((-6)/r) is divided by 11?
9
Suppose 0 = g - 0*g. Let w be 8/6*(g + 6). Let d = w - -4. What is the remainder when d is divided by 7?
5
Let r = 27 + -12. What is the remainder when 25 is divided by r?
10
Suppose -2*d - 80 = -4*d. Let r = -204 + 208. Calculate the remainder when d/6 - 2/(-6) is divided by r.
3
Let f(b) be the first derivative of b**3/3 + b**2 - 9*b - 1. What is the remainder when f(6) is divided by 10?
9
Let k be (-6)/(-21) - (-12)/7. Suppose 30 = k*f + 3*f. What is the remainder when 16 is divided by f?
4
Suppose 4*j + 8 - 80 = 0. Let p be 4/(-24) + 1/6. Suppose 0*x + 4*x - 136 = p. Calculate the remainder when x is divided by j.
16
Let n = -8 + 4. Calculate the remainder when 29 is divided by n/(-6)*45/3.
9
Suppose -19 = -2*x - b, 9 = -5*b - 16. What is the remainder when 11 is divided by x*(21/(-6))/(-7)?
5
Suppose m + 4*m - 35 = 0. Let w(s) = -s - 12. Let t be w(0). Let g = t - -24. Calculate the remainder when g is divided by m.
5
Let w(l) be the first derivative of -l**4/4 - 2*l**3/3 - l**2/2 + l - 1. Suppose 5*a + 18 - 8 = 0. Calculate the remainder when 5 is divided by w(a).
2
Suppose 24 = 2*y - 5*y. Calculate the remainder when 12 is divided by y/3*-3 - 3.
2
Suppose -2*u = -3*u + 19. What is the remainder when 56 is divided by u?
18
Let i be 81/7 - (-36)/84. Suppose 64 = 2*q + k, 3*q - 3*k + i = 90. What is the remainder when q is divided by 16?
14
What is the remainder when (-73)/(-1) - (-1 - -1) is divided by 20?
13
Suppose 5*c - c = 36. Suppose m + 9 = -4*w + 30, -3*m + 27 = 3*w. Calculate the remainder when c is divided by m.
4
Suppose -5*s - 5*p = -140, 2*s - 2*p = p + 31. Calculate the remainder when s is divided by 8.
7
Suppose 5*u - 5 = 15. What is the remainder when 18 is divided by u?
2
Suppose 0 = -2*f - 5 + 11. Calculate the remainder when 4 is divided by f.
1
What is the remainder when 76 is divided by (-2)/5 + (-918)/(-45)?
16
Let k be (12/(-10))/((-1)/5). Let m = k + 0. What is the remainder when 17 is divided by m?
5
Let q(d) = 3*d**2 - 2*d + 1. Let p be q(1). Suppose -p = -2*j + 4. Suppose y + 0*y - 5 = 0. What is the remainder when y is divided by j?
2
Let t(r) = -10*r + 21. Let f(l) = -l. Let y(s) = -5*f(s) + t(s). Calculate the remainder when y(-10) is divided by 37.
34
Let s(j) = j + 5. Let u = 24 + -17. Let d be s(u). Suppose 0*r = -5*m - r + 26, -d = -4*m - 3*r. What is the remainder when 10 is divided by m?
4
Suppose w + 19 = 3. Let f be 1/(-2*2/w). Suppose -f*v + 5*s = -126, 2*v + 3*s + 164 = 7*v. What is the remainder when v is divided by 18?
16
Let p = -5 + 18. Let z(f) = 5*f**2 + 4. Calculate the remainder when z(3) is divided by p.
10
Let l(v) = 4*v + 3. Calculate the remainder when l(10) is divided by 9.
7
Suppose 4*q + 4*u - 96 = 0, -2*q = 2*q - u - 101. What is the remainder when q is divided by 14?
11
Let p(f) = 14*f - 3. Calculate the remainder when 47 is divided by p(2).
22
Let c(z) = -3*z + 2. Suppose 25 = 2*h - 15. Calculate the remainder when h is divided by c(-3).
9
Let x be 72/(12/(-4)) - 0. Calculate the remainder when 37 is divided by 150/(-9)*x/20.
17
Let t(p) be the first derivative of -5*p**2 - 3*p - 3. Calculate the remainder when t(-3) is divided by 15.
12
Suppose -3*u + 312 - 33 = 0. Calculate the remainder when u is divided by 19.
17
Let r be -1 + 1 - 1/(-1). Suppose 0 = -4*n + 9 - r. What is the remainder when n is divided by 2?
0
Let b = 42 - 24. What is the remainder when b is divided by 10?
8
Let c(a) = a**2 - 2*a - 11. Calculate the remainder when c(5) is divided by 2/6 - (-5)/3.
0
Let f(y) = y**3 - y + 3. Let k be f(0). Suppose 2*m - k*m = -5. Suppose -5*r + 3*r = 4*z - 48, 0 = 5*r + 10. What is the remainder when z is divided by m?
3
Let j(s) = -2*s**3 - 4*s**2 - 4. Calculate the remainder when 25 is divided by j(-3).
11
Calculate the remainder when 8/2 + -2*1 is divided by 2.
0
Suppose -2*r + 60 = -22. What is the remainder when r is divided by 15?
11
Let m(z) = -z**2 - 8*z + 11. Let b be m(-9). Suppose -b*a = -0*a - 22. Calculate the remainder when 32 is divided by a.
10
Suppose 4*q - 174 = -2*q. Calculate the remainder when 57 is divided by q.
28
Suppose 0 = 9*p + 54 - 531. Calculate the remainder when p is divided by 14.
11
Suppose -2*v + 0*v = -36. What is the remainder when 51 is divided by v?
15
Let n = 143 - 76. What is the remainder when n is divided by 14?
11
Let k(m) be the second derivative of 2*m**3/3 - 5*m**2/2 + m. Suppose 0 = 2*t + 3 + 7, -3*j = 5*t + 7. Calculate the remainder when k(j) is divided by 7.
5
Let k = 97 - 49. Calculate the remainder when 142 is divided by k.
46
Let z = -11 - -15. What is the remainder when 15 is divided by z?
3
Suppose -4*b - 24 = -72. What is the remainder when 33 is divided by b?
9
Suppose -d - 6 + 25 = 0. Suppose 0 = 7*f - 19 - 16. What is the remainder when d is divided by f?
4
Suppose -5*w + p + 2*p = -181, -p - 142 = -4*w. Calculate the remainder when w is divided by 9.
8
What is the remainder when ((-2)/6)/((-4)/180) is divided by 5?
0
Let p = -106 - -137. What is the remainder when p is divided by 8?
7
Suppose -20 = -5*a + 5*t, 4*a = -t + 2 + 4. Let z be 3/a*102/9. Suppose -3*u + z = -2*y, 3*u - 4*y = -y + 15. Calculate the remainder when 12 is divided by u.
5
Let z be (3 - 0)*(-56)/(-24). Let j = z - -1. Calculate the remainder when j is divided by 3.
2
Suppose 4 = -2*b + 30. Let l = 389 - 204. Suppose -6*v + l = -v. What is the remainder when v is divided by b?
11
Let p(b) = -b**2 - 15*b - 7. Suppose -l + 3 = -1. Suppose -2*y + l*o = -8, -4*y - y = 2*o - 56. Calculate the remainder when p(-12) is divided by y.
9
Let w = -25 - -72. Suppose 5*x - w = 4*r, -x - r - 4*r - 8 = 0. Calculate the remainder when 13 is divided by x.
6
Let g(j) = -j**3 - 2*j**2 + 4*j + 3. Let k be g(-4). Suppose 0 = -4*d + 33 + k. Calculate the remainder when 36 is divided by d.
10
Suppose 2*g + 3*g + 5*t - 20 = 0, 4*g - t = 31. Let k(p) = -p**2 + 5*p + 27. What is the remainder when k(7) is divided by g?
6
Let o(u) = 7*u - 3. Let d be o(2). Suppose 0 = 3*s + z - 45, s - 5*z - 4 = d. What is the remainder when s is divided by 6?
3
Suppose 165 = 3*p + 2*w - 242, p - w - 144 = 0. What is the remainder when p is divided by 14?
13
Let p(v) = 6*v. What is the remainder when p(5) is divided by 11?
8
Let j(t) = -4*t + 3. Calculate the remainder when j(-6) is divided by (-2)/4 - 145/(-10).
13
Suppose -98 = f + 102. Calculate the remainder when f/(-35) - (-4)