 What is the remainder when k(10) is divided by 23?
20
Let a(z) be the second derivative of 6*z - 1/3*z**3 - 1/20*z**5 - 2*z**2 + 0 - 1/2*z**4. Calculate the remainder when 30 is divided by a(-6).
6
Let m = -79 + 115. Let y(d) = -d**2 - 6*d - 2. Let x be y(-5). Suppose a = x*a + 2*z - 28, a - 9 = 4*z. What is the remainder when m is divided by a?
10
Suppose -5*y = 11*g - 6*g - 165, 3*g = 5*y + 99. What is the remainder when (-27 - -1)/(2/(-5)) is divided by g?
32
Let r = 284 + -260. What is the remainder when 70 is divided by r?
22
Let y(h) = h**2 + 15*h - 13. Let j be y(-16). Suppose j*f + 3 - 51 = 0. What is the remainder when f is divided by ((-15)/(-6))/((-2)/(-4))?
1
Suppose 3*f - 61 = 26. Let o = f + 17. Suppose -3*v + o - 13 = 0. Calculate the remainder when 20 is divided by v.
9
Suppose -4*v - 5*j = 177, -4*j - 193 = 5*v + 26. Let x = -13 - v. What is the remainder when x is divided by 8?
6
Suppose -16*r = -17*r. Suppose 0*n - n + 3 = r. What is the remainder when 47 is divided by ((-4)/n)/(1/(-12))?
15
What is the remainder when 450 is divided by (-14 - -47 - (0 - 3)) + 2?
32
Let y(m) = -m**3 + 3*m**2 + 43*m + 6. Calculate the remainder when y(7) is divided by 60.
51
Let n(s) = 2*s**3 + 30*s**2 + 8*s + 25. What is the remainder when n(-4) is divided by 29?
26
Let u(l) = 7*l - 8. Let c be u(6). Let j = 81 - c. Suppose -3*y = 0, o + 7*y - 2*y = 12. Calculate the remainder when j is divided by o.
11
Suppose -45*y + 374 = -28*y. Let x(b) = -b**3 - 4*b**2 - 5*b - 3. Let k be x(-3). Calculate the remainder when y is divided by 1/(k/18 + 0).
4
Calculate the remainder when (10 - -4)/(-42)*(-930 - 0) is divided by 23.
11
Suppose -2*s = -5*n - 107, -141 = -3*s - 5*n - 18. What is the remainder when s is divided by 3?
1
Let s be ((-1656)/(-3 - 3))/2. Suppose s = 6*a + 6. Calculate the remainder when 65 is divided by a.
21
Suppose -4*j + 344 = -4*k, 214 + 134 = -4*k + 2*j. Let a = -52 - k. Calculate the remainder when a is divided by 10.
6
Suppose 735 = 4*z + 3*d, -4*z + 727 = -0*d - 5*d. What is the remainder when z is divided by 63?
57
Let z(j) = j**2 + 33 + 0*j**2 - 16 - 2*j. Calculate the remainder when 33 is divided by z(0).
16
Let z(h) = 3*h**3 + 3*h - 2. Let j be z(1). Suppose -j*n = -11 - 25. Calculate the remainder when 14 is divided by n.
5
Let r(d) = 2*d + 16. Let q be r(-7). Suppose q*p - 386 = -3*i - 2*i, 3*p = -6. Calculate the remainder when i is divided by 27.
24
Suppose 5*u = u + 24. Suppose -q = 4*i - 7, 4*i - u = -2*q - 0*q. What is the remainder when 24 is divided by i?
0
Let j(p) = p**2 - 6*p + 7. Let z be j(6). Suppose 2*d + 32 = 3*d - 4*o, -d + 22 = o. Let v = d - z. Calculate the remainder when v is divided by 5.
2
Let p = 1355 - 1250. What is the remainder when p is divided by 22?
17
Calculate the remainder when 15 is divided by (8/6)/((-30)/(-45)).
1
Let b be -7 - (-2)/(4/6). Let h = 45 - b. Suppose p - 18 = 4*g, -4*p - 5*g + 112 = -g. Calculate the remainder when h is divided by p.
23
Let m be 1*(4 + 1/(-2)*4). Suppose 40 = 4*d - 4*u, -m*u - 25 = -d - 4*u. What is the remainder when 101 is divided by d?
11
Let x be 1/((-3)/342 + 0). Let w = -84 - x. Let i(p) = p**2 - 1. What is the remainder when w is divided by i(3)?
6
Calculate the remainder when 1141 is divided by (2 - (-12)/(-5))/(9/(-585)).
23
Let k(x) = x**2 - 2*x - 1. Let i = 212 + -141. Let s = i + -55. Calculate the remainder when k(-7) is divided by s.
14
Let t = 51 + -49. Let r be 4*((-9)/12 - 0). What is the remainder when 93 is divided by 2 + t + (-60)/r?
21
Let f(i) = 2*i**2 - 5*i - 7. Let b be f(4). Suppose -b*d + 105 = 5*h, 5*d - 81 = 4*h - 3*h. What is the remainder when d is divided by (-2)/(-8) - 86/(-8)?
6
Let y be 24/14 + -2 - 486/14. Let o = 49 + y. Calculate the remainder when o is divided by 7.
0
Let w = 94 - 89. Suppose -578 = -w*m - 23. What is the remainder when m is divided by 19?
16
Let k(h) = -h**3 - 6*h**2 + h + 6. Let n be k(-6). Let v = n + 9. What is the remainder when v is divided by 7?
2
Suppose -5*s = 11 + 9, 4*y - 8 = -3*s. Suppose 0 = y*l + l - 12. Suppose -11 = -l*q + 1. What is the remainder when 17 is divided by q?
5
Suppose -22*j + 19*j = -66. Calculate the remainder when 98 is divided by j.
10
Let r(o) = o**3 + 10*o**2 + 9*o + 5. Let i be r(-9). Calculate the remainder when 26 is divided by ((-42)/30 + 0)/((-1)/i).
5
Let f be -1 - (4 - (3 - 92)). Let u = f - -139. Let t = 14 - -2. Calculate the remainder when u is divided by t.
13
Suppose -30*l + 27*l + 1305 = 0. Suppose -4*p = -5*x + x - 436, 4*p - 5*x = l. Let v = -24 - -61. What is the remainder when p is divided by v?
36
Suppose -445 + 698 = 11*m. Calculate the remainder when m is divided by 19.
4
Suppose b + 2*k + 5 = 23, k - 30 = -2*b. Let c = -9 - -15. What is the remainder when b is divided by c?
2
Suppose 80 = 4*g + g. Suppose -630 = 262*y - 272*y. What is the remainder when y is divided by g?
15
Suppose -38*z + 413 = 33. Calculate the remainder when 467 is divided by z.
7
Let r = -10 + 15. Suppose -2*o + r*o - 12 = 0. What is the remainder when 33 + 1 + -3 + o is divided by 12?
11
Let n = 404 + -403. Suppose 5*d - 33 = -u, -6*d + 2*d - u = -26. Let f = d - 5. Calculate the remainder when f is divided by n.
0
Let z(c) = 34*c - 2. Let a be z(3). Let q = a + -47. Calculate the remainder when q is divided by 18.
17
Let g(w) = 30*w - 3. Let x be g(3). Let k = -30 + x. What is the remainder when k is divided by 29?
28
Suppose -4*s + 49 = -163. Suppose -g - 4*p = -195, -14*g = -7*g + 2*p - 1469. What is the remainder when g is divided by s?
52
Calculate the remainder when 8 + -15 - -5 - -1*166 is divided by 44.
32
Suppose 5*i + 3*j - 40 = 0, -i = -0*i - j - 16. Calculate the remainder when 32 is divided by i.
10
What is the remainder when 75 is divided by ((-3)/(-12) + (-94)/56)*-7?
5
Let u(d) = -2*d + 25. Let n be u(11). Suppose -s + 26 = -0*s - 2*p, 12 = -n*p. What is the remainder when 89 is divided by s?
17
Let a = -214 + 232. What is the remainder when a is divided by 3?
0
Let p = -4 - 6. Let v(o) = o**3 + 9*o**2 - 14*o - 18. What is the remainder when v(p) is divided by 4?
2
Suppose f - 13 = 3*o, 1 = 2*f + 3*o + 2. Suppose -f*m = -0*m - 32. What is the remainder when 23 is divided by m?
7
Let a = -989 - -1323. What is the remainder when a is divided by 16?
14
Suppose 6*b - 859 = -655. Calculate the remainder when 94 is divided by b.
26
Let t(b) = b**3 + 8*b**2 + 7*b - 4. Let p be t(-6). Suppose p*q = 20*q + 624. What is the remainder when q is divided by 53?
51
Let s be 49 + 5 + 6 - (2 + -1). Let p = s + -47. What is the remainder when p is divided by 5?
2
Let p(t) = 4 - 5*t - t**2 - 2*t - t + 3. Calculate the remainder when 32 is divided by p(-8).
4
Let b(a) = -a**3 + 17*a + 29. Calculate the remainder when ((-194)/6)/(2/(-6)) is divided by b(-4).
22
Suppose -5*z + 0*v + 4*v - 178 = 0, -3*z - 104 = -v. Let o = z - -111. Calculate the remainder when o is divided by 27.
23
Let m = -2 + 21. Suppose i = -2 + m. What is the remainder when i is divided by 3?
2
Let z(g) = -g**2 + 2*g**2 + 2*g + 2*g + 0*g + 2. What is the remainder when 7 is divided by z(-5)?
0
Suppose 0 = 3*c - 4*h - 374, 5*c - h - 570 = -5*h. What is the remainder when c is divided by 35?
13
Suppose 5*p - 2*p = -5*x + 617, 5*p - 5*x - 1015 = 0. What is the remainder when p is divided by 55?
39
What is the remainder when 42 is divided by 13 + (-4 - -3)*5?
2
Suppose 3*f = -8*f + 1518. What is the remainder when f is divided by 10?
8
Let n = 38 + 55. Suppose 4 = g - 0. Suppose -2*c = -q - 46, -g*c - 3*q = -3*c - 30. What is the remainder when n is divided by c?
21
Suppose 22*p - 7 = 21*p - 3*t, -t = 2*p - 19. What is the remainder when -3 - -6 - (-22)/2 is divided by p?
4
Let o(s) = 3*s**2 - 48*s + 19. What is the remainder when 72 is divided by o(16)?
15
Let h = 15 + -11. Suppose b + 4*m = 20, 3*b = 3*m + m - 4. Suppose -8*w + b*w = -44. What is the remainder when w is divided by h?
3
Calculate the remainder when 116/2*1 + 0 is divided by 13.
6
Let n = 14 + 30. Suppose -5*q + 26 = -n. Suppose 4*l - 41 = 119. What is the remainder when l is divided by q?
12
Suppose -d + 5*b = -3*d + 54, -3*b - 6 = 0. Let s be (1/2)/((-7)/210). Let p = s + 26. What is the remainder when d is divided by p?
10
Let m = 492 -