Calculate the remainder when 46 is divided by n.
14
Let r(i) = i**3 - 4*i**2 + 3*i + 1. Suppose -4 = -2*h - 2*h - 4*q, -h = 4*q - 7. Let o = 1 - h. Calculate the remainder when o is divided by r(3).
0
Suppose 0 = -4*m + 3*m + 32. What is the remainder when m is divided by 7?
4
Let p(u) = u + 2. What is the remainder when 28 is divided by p(14)?
12
Let k(h) = h**2 + h + 3. Let s be k(0). What is the remainder when 42 is divided by 2 - (9/s - 12)?
9
Let c(y) = 2*y**2 - y + 5. Let b be c(-5). Suppose 5*z - 3*z = b. Calculate the remainder when z is divided by 11.
8
Let h(b) = -b**2 - 7*b + 5. Calculate the remainder when 21 is divided by h(-6).
10
Let g(z) = z**2 + 10*z + 5. Let j be g(-9). Calculate the remainder when 31 is divided by 33/1*j/(-12).
9
Suppose 3*i + 21 + 30 = 0. Let m = 45 + i. Calculate the remainder when m is divided by 15.
13
Let q = 9 - 3. Calculate the remainder when 15 is divided by q - (0 + 3 - 1).
3
Suppose 4 = 4*y - 4. Suppose 5*b - y*r = 70, -3*b + 19 + 23 = -2*r. Let c(j) = 2*j**2 - 3*j. What is the remainder when c(-3) is divided by b?
13
Suppose -2*a + 3 = -3. Let z(d) = d**2 + 2*d - 4. Let m be z(-4). Let u = -2 + m. Calculate the remainder when a is divided by u.
1
Let w be 10/(-2 - -3 - 2). Suppose -2*y - 85 = -7*y. Let v = w + y. What is the remainder when v is divided by 4?
3
Suppose 0 = 4*t + 4*y - 83 - 1, 4*t = -3*y + 80. Let c(v) be the second derivative of v**3/6 - v**2 + 2*v. Calculate the remainder when t is divided by c(8).
5
Suppose -3*j - 126 + 18 = -3*c, 0 = 3*c - 2*j - 113. Calculate the remainder when c is divided by 38*((-14)/(-4) - 3) - -2.
20
Let p be (-17)/(-4) + 1/(-4). Let d = p - -8. Suppose f + 22 = 2*f - 4*m, -4*m + 22 = f. What is the remainder when f is divided by d?
10
Let u(h) = h**2 + 2*h + 1. Let j = 11 + -19. Calculate the remainder when u(j) is divided by 26.
23
Let i(j) be the first derivative of -17*j**2/2 + j - 3. Suppose -27 = -3*d + d + 3*b, b = -5*d + 93. Calculate the remainder when i(-3) is divided by d.
16
Let w(g) = 6*g**2 - g - 2. Let v be w(2). Let d = v - -3. What is the remainder when d is divided by 5?
3
Let b = -111 + 174. What is the remainder when b is divided by 33?
30
Let r = 8 - 4. Suppose 3*a + 9 = 0, q - a - 22 = r*a. What is the remainder when 19 is divided by q?
5
Let t(j) = -j**3 + 11*j**2 + 6*j - 13. Let q = 5 + 6. Calculate the remainder when t(q) is divided by 11.
9
Suppose j = 100 - 28. Let u = j - 36. Let d = -38 + 57. Calculate the remainder when u is divided by d.
17
Let w = 47 + -18. Suppose 3*u = 5*i + w, 3*u + 3*i = u + 13. What is the remainder when 22 is divided by u?
6
Let i = -135 + 139. What is the remainder when i is divided by 2?
0
Let s(r) = 5*r + 2. Let m be s(-2). Let p = m + 24. Calculate the remainder when 122/4 + (-2)/4 is divided by p.
14
Suppose -4*i + 86 + 26 = 0. What is the remainder when i is divided by 11?
6
Suppose 0 = -3*o - o. Suppose 2 = -g - 2*z, 3*g + 5*z = -o*g - 2. Suppose -g = -2*c + 12. Calculate the remainder when 16 is divided by c.
7
Let b(a) = a**3 - 6*a**2 + 5*a + 10. Let y be b(5). Suppose y = 2*r - 4. What is the remainder when 26 is divided by r?
5
Suppose 1 + 45 = -2*h. Let k(m) = -m**2 - 14*m - 10. What is the remainder when k(-5) is divided by 3/6 - h/2?
11
Suppose -q + 11 = -7. Calculate the remainder when 69 is divided by q.
15
Let i be 56/9 - 4/18. Let q be -3 + i + 2 + -2. Suppose 0 = -q*j + 3, 4*j = -l + 6*j + 10. What is the remainder when 23 is divided by l?
11
Let o = 7 + -10. Let l(c) = -16*c + 2. Let u(t) = -4*t - 3. Calculate the remainder when l(o) is divided by u(-5).
16
Let b = 50 + -32. Let z(f) = -11*f + 157. What is the remainder when z(8) is divided by b?
15
Let y = -25 - -87. What is the remainder when y is divided by 16?
14
Let b be (2*1)/(6/(-15)). Let a(v) = -v**3 - 6*v**2 - 8*v - 4. Calculate the remainder when 20 is divided by a(b).
9
Suppose -5 = 5*o - 30. Calculate the remainder when 12 is divided by o.
2
Let h = -46 + 71. Let s(n) = -3*n**2 + 6*n - 1. Let t be s(2). What is the remainder when (t/(-3))/(2/438) is divided by h?
23
Let v(g) = -4*g - 2. Let i(r) = r - 1. Let k(y) = 2*i(y) + v(y). Suppose 4*o = -5*d - 4, o - 2*o + 12 = -2*d. Calculate the remainder when 6 is divided by k(d).
2
Suppose -3*h + 4*r + 30 = 0, 3*h - 2*r + 6*r - 6 = 0. Suppose -n = -2*x + 25, x + 5*n = h*x - 60. Calculate the remainder when x is divided by 5.
3
Let z = -6 - -6. Let u(g) = 3*g + 20. Calculate the remainder when u(z) is divided by 11.
9
Suppose 7*m - 5*d = 9*m - 51, -m + 3*d - 2 = 0. Calculate the remainder when 63 is divided by m.
11
Suppose 3*m = 2*z - 13 - 49, -4*z + 124 = 3*m. What is the remainder when 92 is divided by z?
30
Let t = -5 - -6. Calculate the remainder when (4/6)/(t/24) is divided by 6.
4
Suppose 15*a = 23*a - 72. What is the remainder when 21 is divided by a?
3
Suppose -2*v = -6*v + 20. Suppose -2*k + 15 = -4*w + 5, -2*w - k - 7 = 0. Let l(d) = d**3 + 4*d**2. Calculate the remainder when l(w) is divided by v.
4
Let k(r) = -4*r - 1. Let h be k(-6). Let y = h - 5. Suppose -2*c + 91 = 23. Calculate the remainder when c is divided by y.
16
Suppose -4*l + 25 = 153. Let y = 5 - l. Calculate the remainder when y is divided by 13.
11
Suppose 0 = -u + 5*u. Let y = 6 - u. Calculate the remainder when 11 is divided by y.
5
Let n = 33 + 1. What is the remainder when 133 is divided by n?
31
Let o = 8 + 9. Let c = 119 + -36. Suppose 0 = 2*x - 17 - c. Calculate the remainder when x is divided by o.
16
Let p(z) = -2*z**2 + 12*z - 7. Calculate the remainder when p(5) is divided by 1.
0
Let r = 17 - 8. Let w(v) be the second derivative of -v**5/20 - v**4/3 + 4*v**3/3 + v**2 - 3*v. Calculate the remainder when w(-6) is divided by r.
8
Suppose 5*g - 4*p - 304 = 0, g - 136 = -g - 2*p. What is the remainder when g is divided by 17?
13
Suppose 5*d = -2*b + 9, -5*b - 27 = -12. Suppose 5 = i - u + 13, -3*i + 4*u - 27 = 0. What is the remainder when (16/10)/((-1)/i) is divided by d?
2
Let x be (-2 + 6 - 1) + 2. Suppose 55 = -0*t + x*t. Let h(n) = n**2 - 12*n + 15. What is the remainder when 10 is divided by h(t)?
2
Let j(a) = -3*a**3 - 3*a**2 + 6*a + 4. Calculate the remainder when j(-4) is divided by 42.
40
Let w(k) = 60*k**2. Suppose 0 = -3*j - j + 84. What is the remainder when w(1) is divided by j?
18
Suppose 5*z = 121 + 344. What is the remainder when z is divided by 24?
21
Let r = 37 - 22. What is the remainder when 44 is divided by r?
14
Let o(l) = 4*l**2 + 1. Let v be o(-1). Suppose v*p + 35 = 5*d, -4*d = -2*d + 4*p + 16. What is the remainder when d is divided by 2/8 + 7/4?
0
Let t be 7 + -5 + (3 - 0). Suppose -f = t*v - 141, -2*v = 3*f - 32 - 14. What is the remainder when v is divided by 15?
14
Suppose -4*a - 8 = 0, -4*l + 0 = 4*a - 4. Suppose l*t = -5*z - 0*t + 84, -t = -4*z + 57. Let j = 2 + 4. Calculate the remainder when z is divided by j.
3
Suppose -2*k - 1 = 11. What is the remainder when (-2)/((k/201)/1) is divided by 23/((-1)/(-2 - -1))?
21
Let n(p) = p**3 + 5*p**2 - p + 5. Suppose -13 + 1 = 2*d. What is the remainder when (4/d)/(4/(-174)) is divided by n(-5)?
9
Suppose 4*n - 183 = p, -4*n + 51 = p - 134. Calculate the remainder when n is divided by 12.
10
Suppose o = 2*c - 0*o - 48, -5*c + 122 = -2*o. Suppose 61 = 4*s + 5. What is the remainder when c is divided by s?
12
Let t be ((-2)/(-2))/((-1)/(-2)). Suppose 0 = t*l + 3*l - 5*q - 35, -13 = -3*l + q. Calculate the remainder when 19 is divided by (-76)/(-12) + 2/l.
5
What is the remainder when (0 + 1)/(2/126) is divided by (-48*1 - 7)*2/(-5)?
19
Let u = 18 - 3. Let c = u + -3. Calculate the remainder when 23 is divided by c.
11
Let x(m) = 18*m + 1. Calculate the remainder when x(6) is divided by 22.
21
Let t(n) = -n**3 - 11*n**2 + 10*n - 11. Let w = 64 - 15. Calculate the remainder when w is divided by t(-12).
10
Let x(r) = 2*r + 6 - r**2 + 2*r**2 + r**2. Suppose 0*p + 2*p = -4*y - 24, -5*y + p = 23. What is the remainder when x(y) is divided by 16?
14
Let u(k) = 8*k**3 + 2*k**2 - 4*k + 2. What is the remainder when u(2) is divided by 34?
32
Let m(z) = -z - 4. Let b be m(-6). Suppose 3*k = 5*w - 53, -b = -3*k + 5*k. Calculate the remainder when w is divided by 6.
4
Suppose -4*i = -3*k + 8 - 2, 0 = -2*k - 5*i + 27. Let b be (-