r when k is divided by 5.
3
Suppose -n + 2*m - 11 = -4*n, -m = 2*n - 6. Calculate the remainder when 24 is divided by (n - 2) + -1 + 15.
11
Let b(z) = -z**3 + 19*z**2 + 19*z + 27. What is the remainder when 12 is divided by b(20)?
5
Let b(m) = m**2 - 8*m - 6. Let x be b(8). Let v = x - -14. Calculate the remainder when 23 is divided by v.
7
Let p(h) = -h**3 + h**2 - 15. Let j be p(0). What is the remainder when (-172)/(-3) - (-5)/j is divided by 15?
12
Let u(a) = a**2 + 9*a - 7. Let b be u(-9). Let f(t) = -4*t - 3. Calculate the remainder when f(b) is divided by 14.
11
Let v = -5 - -13. Suppose v = y + 3*y - 2*t, -3*t = 2*y - 20. Let o = -15 - -26. Calculate the remainder when o is divided by y.
3
Let w(r) = 9*r**2 + 4*r + 4. What is the remainder when 63 is divided by w(-2)?
31
Let u = 35 + 37. What is the remainder when u is divided by 38?
34
Let y(x) = 29*x. Let o be y(1). Suppose -2*a + 57 = -o. Calculate the remainder when a is divided by 9.
7
Suppose -2*m = -8 + 2. Let z = -3 + m. Suppose -4*w + 2*w + 8 = z. What is the remainder when w is divided by 2?
0
Let x be (-2)/(-6) - (-25)/(-3). Calculate the remainder when 16 is divided by (-280)/(-32) - 2/x.
7
Suppose 0 = -0*w + w. Calculate the remainder when 38 is divided by 8 - (-2 + w/2).
8
Let j be 1/(-2)*4 - -7. Let u = -2 + j. Suppose 46 = 2*a - u*h, -4*h + 69 = 3*a - 0*h. What is the remainder when a is divided by 8?
7
Let z(r) = -r**2 - r + 47. What is the remainder when z(0) is divided by 24?
23
Let y(w) = -36*w**3 - 2*w**2 - 2*w. Let d be y(-1). Suppose g - 4*g + d = 0. What is the remainder when 46 is divided by g?
10
Let y(f) = -f**3 + f - 1. Let h(c) = -4*c**3 + c**2 + 2*c + 16. Let r(w) = h(w) - 3*y(w). Calculate the remainder when r(0) is divided by 7.
5
Let b be 47 - (-2 + 3/3). Suppose -4*n + 4*i = -248 + b, 0 = -5*n + i + 230. What is the remainder when n is divided by 23?
22
Let u be (6/(-24))/((-2)/8). Let d = 30 + u. Suppose 4*l - 53 + 9 = 0. What is the remainder when d is divided by l?
9
Let k(h) = 11*h**2 + 7*h + 9. What is the remainder when k(-3) is divided by 30?
27
Let p be (-10)/15 + (-154)/(-6). Let k = p + 12. Suppose 7*t + 5*h - 35 = 2*t, -4*t + k = -5*h. Calculate the remainder when 31 is divided by t.
7
Let z = -95 - -116. What is the remainder when 27 is divided by z?
6
Let a(r) = -3*r - 7. Calculate the remainder when 4 is divided by a(-3).
0
Suppose -69 = -5*r - 2*a - 18, 4*a = -2*r + 14. Calculate the remainder when 19 is divided by r.
8
Let k(g) = g**2 + 6*g + 2. Let n be k(-4). Let a be 44/6 + 2/n. Let s = 10 - a. What is the remainder when 9 is divided by s?
0
Suppose -5*s - 81 = -3*i, -2*s = -0*i + 2*i - 38. What is the remainder when 87 is divided by i?
21
Let d(u) = -15*u + 3. Suppose 100 = 85*w - 80*w. Calculate the remainder when d(-5) is divided by w.
18
Let y be (-8)/((3 - 5) + 0). Suppose 3 + 3 = 2*r. Calculate the remainder when -3*(28/(-3))/y is divided by r.
1
Suppose -3*y = -3*k - 177, 3*y + 2*k = -86 + 288. What is the remainder when y is divided by 13?
12
Suppose -4*y - 33 = -z, y = -0*y - 5*z + 18. Let j = -3 - y. Calculate the remainder when 6 is divided by j.
2
Let f = 8 + -4. Suppose -64 = -f*d + 72. Let r(v) = 12*v**2 + v + 1. Calculate the remainder when d is divided by r(-1).
10
What is the remainder when 64 is divided by 2 + (21 - 0) - 1?
20
Suppose 4*k - 15 - 1 = 0. Suppose z - 13 = k*a - 4, 4*z - 8 = 2*a. Calculate the remainder when 1 is divided by (-1)/(a*2/4).
0
Let y = 11 - 11. Suppose y = f - 5*f + 120. What is the remainder when f is divided by 11?
8
Suppose 5*s - 35 = 30. Calculate the remainder when s is divided by 9.
4
Let a(g) = g**3 + g**2 + 2. Suppose -2*t = t. What is the remainder when 2 is divided by a(t)?
0
Calculate the remainder when (0 + -7)*(-6)/((-18)/(-21)) is divided by 17.
15
Suppose 4*m + 58 = -2*t, 0 = -4*m + 3*t + 14 - 87. Let v = 74 + m. Calculate the remainder when v is divided by 15.
13
Suppose 0 = 3*c - 5*c + 16. Let u(x) = 4*x**2 + 6*x + 5. What is the remainder when u(-3) is divided by c?
7
Let b(l) = 4*l - 1. Suppose 5*s + 3*o = 22, 4*s = 3*s - 3*o + 14. Suppose 1 = 2*d - 3*i - 1, 27 = 5*d - s*i. Calculate the remainder when b(5) is divided by d.
5
Suppose 0 = 3*n - 3, -4*u - 17 + 127 = -2*n. Let d be (u - 1)*1 - -2. Let o = -20 + d. Calculate the remainder when 25 is divided by o.
7
Let l(b) = 2 - 3*b + 4*b + b**2 - 2*b. Suppose -o = -5*o + 12. What is the remainder when 14 is divided by l(o)?
6
Let t be ((-8)/(-6))/((-3)/(-18)). Let n(z) = z**3 - 8*z**2 + z + 7. Suppose -58 = -x - x. Calculate the remainder when x is divided by n(t).
14
Let y = -47 + 105. Suppose 0*v - y = -2*v. Calculate the remainder when v is divided by (15/12)/((-1)/(-12)).
14
Calculate the remainder when 21 is divided by -4*3/(-4) + 1.
1
Let l be (-4)/(-3)*27/6. Suppose -l*r = -r. Let u = 7 + r. Calculate the remainder when 26 is divided by u.
5
Suppose 3*w + 2 + 4 = 0. Suppose -2*u + l + 3*l + 96 = 0, 2*u = 3*l + 96. Calculate the remainder when u is divided by (1/w)/(1/(-50)).
23
Suppose -b - 3*b = -164. What is the remainder when b is divided by 11?
8
Calculate the remainder when (-4437)/(-81) + (-4)/(-18) is divided by 14.
13
Let a(f) = 8*f**2 - 3*f + 1. Calculate the remainder when a(2) is divided by 14.
13
Let w = 21 + -4. Let b be -2 + 1 + w*1. Suppose b = 3*k - 2*k. Calculate the remainder when k is divided by 6.
4
Let t = -199 - -204. Let y = -5 + 12. What is the remainder when y is divided by t?
2
Let d(p) = p**3 + 12*p**2 + 9*p + 26. Calculate the remainder when d(-11) is divided by 10.
8
Suppose 0 - 3 = -s. Suppose -3*r - 233 = -4*k, -s*r = 2*k - k - 77. What is the remainder when k is divided by 21?
20
Let a(y) = y**3 - 2*y**2 + 7*y - 11. What is the remainder when 53 is divided by a(3)?
15
Let k = -3 - -24. Let f = k - 17. What is the remainder when f is divided by 3?
1
Let w = 104 - 44. Let c = w - 34. Suppose 0*l + 4*p + 20 = 2*l, -2*p + 32 = 2*l. Calculate the remainder when c is divided by l.
12
Let c(w) = -6*w**2 + 1 + 2*w**2 - w**3 + 9*w**2 - 2*w. What is the remainder when 36 is divided by c(3)?
10
Let o(g) = -g**3 - 14*g**2 + 13*g + 9. Suppose 37 = 2*n + 3*i - 4*i, 0 = 2*n - 2*i - 32. Calculate the remainder when o(-15) is divided by n.
18
Let c(a) = 13*a**3 - 2*a**2 + a. What is the remainder when 47 is divided by c(1)?
11
Let z(l) = -l + 1. Let m be z(4). Let v(p) = p**3 + 3*p**2 - 2*p. Calculate the remainder when v(m) is divided by (3 - 10/2)/(-1).
0
Let k(l) = l**3 - 4*l**2 + 6*l + 6. Let y(p) = -3*p - 1. Let f be 3/6*(-5 + 1). Let t be y(f). Calculate the remainder when k(t) is divided by 21.
19
Suppose 3*f - 33 = -123. Let u = f - -52. Calculate the remainder when u is divided by 14.
8
Let d = 8 - -4. Calculate the remainder when 58 is divided by d.
10
Let w be 0 + -11 + (-4 - -3). Let n = 93 - w. Suppose 4*l = v + n, -3*l + 82 = 2*v - 6*v. What is the remainder when l is divided by 14?
12
Let x(f) = 5*f**3 - 2*f**2 - 4. What is the remainder when x(3) is divided by 29?
26
Let h(u) = -u**2 - 13*u - 11. Suppose 0 = -5*q + 3*q - 20. Calculate the remainder when 55 is divided by h(q).
17
Let p(b) = -b**3 + 8*b**2 - 10*b - 5. Calculate the remainder when 37 is divided by p(5).
17
Let y = -251 - -352. Suppose 0*b = b. Suppose b*a + y = 5*o + 4*a, -59 = -3*o - 4*a. What is the remainder when o is divided by 8?
5
Let d be (-8)/((-6)/3)*-1. Let h = 7 + d. Suppose 175 = 3*a - 2*p, 7*a = h*a - p + 226. What is the remainder when a is divided by 15?
12
Suppose 0 = w + 5*s - 4 - 6, 2*s - 4 = 0. Suppose -5*n + 38 + 27 = w. What is the remainder when 23 is divided by n?
10
Let w = 4 - 3. Let x be w + 2 + -4 + 1. Suppose 3 = j, j - 33 = -3*z - x*j. What is the remainder when 18 is divided by z?
8
Let h = -19 + 36. What is the remainder when h is divided by 6?
5
Suppose -9 = q - 34. Calculate the remainder when q is divided by 14.
11
Let a be (-344)/44 - (-4)/(-22). Let g(f) = -11*f + 1. Let q be g(-1). Let k = q + a. Calculate the remainder when 7 is divided by k.
3
Let n(a) = -5*a + 25. Let o(p) = -14*p + 75. Let g(j) = -8*n(j) + 3*o(j). What is the remainder when g(0) is divided by 9?
7
Let c = 24 - 11. Suppose 8*i - 3*i - 120 = 0. What is the remainder when i is divided by c?
11
Let v(r) = -r**3 + 7*