q) + p(q). What is the remainder when y(6) is divided by 4?
2
Let w(p) = -p**2 - 6*p - 1. Suppose 2*y - 4 = 0, y - 21 - 5 = -4*t. Calculate the remainder when t is divided by w(-5).
2
Suppose -3*k + 5*q = -k, 4*q - 8 = 0. Let p(m) = m**2 - 23*m + 9. Calculate the remainder when p(23) is divided by k.
4
What is the remainder when 105 is divided by -4 + (2 - 3)*-31?
24
Let z(n) = n**2 + 7*n - 2. Let p = -16 + 11. Let a be z(p). Let i = -5 - a. Calculate the remainder when 12 is divided by i.
5
Suppose 27 - 84 = -f + 2*o, -4*f - 4*o + 180 = 0. Suppose -3*h + 4 = 4*q - 90, 67 = 3*q + 4*h. What is the remainder when f is divided by q?
24
Let f = 70 + 19. What is the remainder when (-5)/(-10) + f/2 is divided by 16?
13
Calculate the remainder when ((-8)/(-5))/(2/10) is divided by (-45)/18*(-12)/10.
2
Let k(f) = 2*f**2 + 42*f - 10. What is the remainder when k(-23) is divided by 17?
14
Let b(w) = w - 5. Let f be b(4). What is the remainder when 19 - f - -1 - 0 is divided by 8?
5
Let n = 126 + 93. Suppose -l + 87 = 2*a, -3*a = 2*a + l - n. What is the remainder when a is divided by 23?
21
Let l be -5*((-12)/(-5) - 3). Suppose 3*q + 26 = 4*a, q + 2*a = l*q + 14. Calculate the remainder when 11 is divided by ((-12)/(-15))/(q/(-15)).
5
Let l(o) = -o**2 + 15*o - 7. What is the remainder when l(11) is divided by (-2)/((-2)/(-26)*-2)?
11
Let z(q) = 2*q**2 - 10. Calculate the remainder when z(7) is divided by 30.
28
Calculate the remainder when (4 + -8)*22/(-4) is divided by 8.
6
Let y = -13 - -17. Suppose -y + 1 = -w. Suppose p - z - 5 = 0, 2*z + 4 = -6*p + 2*p. Calculate the remainder when w is divided by p.
0
Suppose 0 = -0*z - z + 3. Suppose 4*r - 60 = -4*w, z*w = -0*w - 2*r + 45. What is the remainder when w is divided by (-5)/(-10) + (-7)/(-2)?
3
Suppose -16 - 119 = -5*v. Calculate the remainder when 79 is divided by v.
25
Let f = -40 + 64. Calculate the remainder when f is divided by 13.
11
Suppose 0*l - 19 = -l + 2*w, -l + 3*w = -19. What is the remainder when l is divided by (-38)/(-8) - 1/(-4)?
4
Let m be 9/27 - (-1)/(-3). Suppose m = 3*q + l - 56, -3*l = q + 4*q - 92. Calculate the remainder when q is divided by 7.
5
Let f = -56 + 137. What is the remainder when f is divided by 28?
25
Let l(f) = f + 7. Suppose 5*j - 4*i + 20 = 0, -4*j = -i - 4*i + 16. Let g(a) = -a**2 - 7*a - 5. Calculate the remainder when l(5) is divided by g(j).
5
Let b = -85 + 149. Calculate the remainder when b is divided by 13.
12
What is the remainder when 17 is divided by (0 - -8) + 2*1?
7
Let x(f) = -25*f**3 - f**2 - f. Calculate the remainder when x(-1) is divided by 0 - 8/(-28) - 89/(-7).
12
Let k(a) = -a**3 + 3*a**2 + a + 2. Let i be k(4). Let h = -1 - i. Suppose -5*c + c + 5*s = -76, 2*c - 64 = -4*s. What is the remainder when c is divided by h?
6
Let d be 44/7 - (-4)/(-14). Suppose 18 = 3*k + d. Suppose 4*o + z - 56 = 5*z, 0 = -k*o - 2*z + 38. What is the remainder when 32 is divided by o?
10
Suppose 4*x + 8 = 0, -2*b + 2*x + 8 = 4*x. Calculate the remainder when 1/7 - 3/21*-118 is divided by b.
5
Suppose 2*b = 77 + 103. Suppose 3*c = -4*u - 181, 4*c = -u - 28 - 1. Let w = b + u. What is the remainder when w is divided by 11?
8
Let g = -8 - -8. Suppose g = 3*y - 32 + 2. Calculate the remainder when 27 is divided by y.
7
Let i = -11 + 21. Calculate the remainder when i is divided by (8/10)/((-10)/(-75)).
4
Suppose -2*h - 2*h + 12 = -4*m, -h - m + 11 = 0. What is the remainder when h is divided by 1?
0
What is the remainder when 54/(6/3) - 4 is divided by 12?
11
Let c(x) = 2*x**2 - 7*x + 4. Let i be c(4). Let o be (-2)/(-7)*(i + -1). Let t = 2 + o. What is the remainder when 11 is divided by t?
3
Let k(l) = -l**3 - 2*l**2 + 2*l - 5. Calculate the remainder when k(-6) is divided by 13.
10
Let j = -8 - -33. Let m = 15 - 6. What is the remainder when j is divided by m?
7
Suppose 0 = 5*k - 3*j - 114, 5*j = 3*k + 2*k - 120. What is the remainder when k is divided by 6?
3
Let n = -3 - -25. Calculate the remainder when 86 is divided by n.
20
Let s(p) = p**2 - p + 65. What is the remainder when s(0) is divided by 6?
5
Let z(p) = 0 - 1 + p - 3. Suppose -18 = -4*c + 6. Calculate the remainder when 6 is divided by z(c).
0
Suppose -4*c - 2 = -6*c. Let z(i) = 38*i**2 + 2*i - 1. What is the remainder when z(c) is divided by 10?
9
Let q be 1270/45 - (-4)/(-18). Suppose 12 = 4*j - q. What is the remainder when 18 is divided by j?
8
Let w(h) = -h**2 - 6*h - 1. What is the remainder when (-8)/44 - (-336)/33 is divided by w(-5)?
2
Let v = 12 + -2. Calculate the remainder when 39 is divided by v.
9
Let o = 378 + -364. Suppose 0 = 3*x - x - 68. Let g = -7 + x. Calculate the remainder when g is divided by o.
13
Suppose d + 5*s = -58 + 11, -211 = 3*d + s. Let t = 167 + d. What is the remainder when t is divided by 24?
23
Calculate the remainder when 16 is divided by 23/4 + (-3)/(-12).
4
Let u = -76 - -124. What is the remainder when u is divided by 13?
9
Let c(a) = a**3 - 6*a**2 + a - 1. Let k be c(6). Suppose -k*h - 52 - 23 = 0. Calculate the remainder when 32 is divided by 83/5 - 6/h.
15
Let h(a) = -6*a + 9. Let f(k) = 29*k - 46. Let v(s) = 2*f(s) + 11*h(s). What is the remainder when v(-5) is divided by 16?
15
Suppose 0 = q - 2*l + 3*l - 8, q - 4 = -5*l. Let x(g) = 0*g**2 + 2 + 3 + q*g + g**2. What is the remainder when 14 is divided by x(-9)?
4
What is the remainder when 80/(-4)*1*9/(-15) is divided by 2?
0
Suppose -4*b + b = -18. Suppose -14 = b*o - 7*o. Let z(f) = 5*f**3 - f + 2. What is the remainder when z(2) is divided by o?
12
Suppose 84 = 3*t - 0*s - 3*s, 3*t - 84 = -2*s. What is the remainder when 82 is divided by t?
26
Let l(j) = 0*j**3 - 7*j**2 + j - 7*j - 5 + j**3. Let z(b) = 10*b**2 - b - 1. Let q be z(1). Calculate the remainder when l(q) is divided by 6.
5
Let g(l) = -l**2 + 10*l + 3. Calculate the remainder when 130 is divided by g(8).
16
Calculate the remainder when -9*8/84*-7 is divided by 2.
0
Suppose 5*f - 50 = -5*g - 0*f, 10 = -5*f. What is the remainder when 554/12 + (-2)/12 is divided by g?
10
Let i(y) = -2*y - 59. Let a be i(0). Let c = -30 - a. Calculate the remainder when c is divided by 10.
9
Let d(i) = -i**3 - 7*i**2 - 6*i - 1. Let h be d(-6). Let n = h + 1. Let c = 5 - n. Calculate the remainder when c is divided by 2.
1
Suppose -f = -12 - 20. Calculate the remainder when f is divided by 17.
15
Suppose 4*i = 5*i - 9. Let b(l) = 3*l**2 - 4*l + 1. Calculate the remainder when b(4) is divided by i.
6
Suppose -m = -5*n + 24, -3*m - 7 + 30 = 4*n. Let w(h) = h - 1. Let r be w(m). Suppose 2*u + r*u = 12. Calculate the remainder when 21 is divided by u.
3
Let v be 1/(-3 - -4)*-15. Let i be -6*((-20)/(-3))/2. Calculate the remainder when (-288)/i - (-6)/v is divided by 5.
4
Suppose 6*j - 70 = 4*j. Suppose -2*k = -3*g - 0*k + j, 0 = -5*g + 4*k + 57. What is the remainder when g is divided by 4?
1
Let g(r) = -2*r - 12 + 1 + 0*r. What is the remainder when 18 is divided by g(-8)?
3
Let l = -23 + 14. Let n = l + 13. Suppose -y + 0*u + 5*u + 16 = 0, -5*u = -3*y + 28. What is the remainder when y is divided by n?
2
Suppose 9 + 45 = 3*h. What is the remainder when 34 is divided by h?
16
Suppose -5*y - 5 = 0, -4*f + 6*y - 7*y = -295. What is the remainder when f is divided by 20?
14
Suppose 2*g + 0*g = 24. What is the remainder when (((-105)/(-6))/5)/(1/10) is divided by g?
11
Suppose -3*m - 42 = -102. What is the remainder when 97 is divided by m?
17
Suppose 0 = 46*k - 49*k + 153. Calculate the remainder when k is divided by 18.
15
Let r(p) = p**2 - 7*p. What is the remainder when r(8) is divided by 5?
3
Let y = 0 + 2. Suppose -2*j + 8 = j + 4*k, 1 = -k. Suppose -164 = -4*m + j*g, -7*m = -4*m - y*g - 127. Calculate the remainder when m is divided by 23.
22
Let b(m) = m + 15. Let g be b(-13). Suppose c = g*c - 5. Suppose 0*i - c*i + 20 = 0. What is the remainder when 6 is divided by i?
2
Let v be (48/20)/(2/5). Suppose -j + 15 = -v. Let l(d) = 15*d**2 + 2*d - 3. Calculate the remainder when l(2) is divided by j.
19
Suppose 0 = -4*x - x + 20. Suppose 2*l + 39 = 5*l. Calculate the remainder when l is divided by x.
1
Calculate the remainder when 521 - (-9 + 6 - 2/2) is divided by 31.
29
Suppose 0 = -d + 5*y + 16, 3*y + 29 = d + 9. Calculate the remainder when 51 is divided b