n - 5*z, 4*z - 27 = -4*n + 65. Calculate the remainder when n is divided by q.
8
Let n = -138 - -207. Let m = -25 + 49. What is the remainder when n is divided by m?
21
Suppose 3*q - 9 = -3. What is the remainder when 12/(-4) - -5 - -3 is divided by q?
1
Suppose 5*n - 3*n = 68. What is the remainder when n is divided by 12?
10
Let n = -4 - -7. Calculate the remainder when 5 is divided by n + 2 + -1 + -1.
2
Let n = -169 + 116. Let i(v) = v**2 - 31. Let w be i(0). Let z = w - n. What is the remainder when z is divided by 8?
6
Suppose 5*s + 18 = -3*v + 5*v, 4*v - 80 = -s. Suppose 2*u - 9 = v. Let i = -82 - -136. What is the remainder when i is divided by u?
12
Let f be 32/(-56)*(-14)/4. Suppose 5*p = -0*p + 30. Calculate the remainder when (1 - -33)/(4 - f) is divided by p.
5
Let x(j) = 6 + 3*j + 2*j + j + 0. Let c be x(-8). What is the remainder when (-7)/c - 53/(-6) is divided by 5?
4
Suppose 10*k - 90 = -0*k. What is the remainder when 43 is divided by k?
7
Suppose w + 0*w = -1. Let k(b) = 25*b**2 + b. Suppose 2*j + 6 - 32 = 0. What is the remainder when k(w) is divided by j?
11
Let b = 44 + 3. Suppose 0 = -4*k + b + 77. What is the remainder when k is divided by 11?
9
Suppose -3*w - 6 - 3 = 0. Let y(h) = -h**2 + 6*h + 2. Let a be y(6). Calculate the remainder when 19 is divided by 8 + (11 - a)/w.
4
Let z = 135 - 70. Let h(i) = 2 + 0*i + 3*i + 2*i. Calculate the remainder when z is divided by h(3).
14
Let f(i) = 35*i**2 - i. Let q be (-45)/(-20) + (-2)/8. What is the remainder when f(1) is divided by -1 - (q + -3 - 12)?
10
Suppose 0 = -5*x + i + 12, -3*x + 8 = i - 4. What is the remainder when 23 is divided by x?
2
Let f(d) = 36*d + 35. What is the remainder when f(6) is divided by 64?
59
Let p = -8 - -8. Suppose h + 6*h - 35 = p. What is the remainder when 24 is divided by h?
4
Let q(v) = 14*v**2 - 3*v - 4. What is the remainder when 207 is divided by q(-1)?
12
Let u be 818/(-10) + (-7)/35. Let v = -46 - u. What is the remainder when v is divided by 13?
10
Let i be (1*-2)/((-8)/144). Suppose i = 3*a - 0. Let m = 46 - 1. Calculate the remainder when m is divided by a.
9
Suppose 20 = 3*u + 2. Calculate the remainder when 22 is divided by u.
4
Let m(u) = -u - 5. Let q be m(3). Let j = q - -15. Calculate the remainder when 20 is divided by j.
6
Let v = 7 - 5. Let u be (-2)/v*(5 - -4). Let q = -3 - u. Calculate the remainder when 16 is divided by q.
4
Suppose 4*h + 18 = -c, -4*h = -4*c + 22 + 6. Let d(k) = -k + 5. Let j be d(h). What is the remainder when 18 is divided by 4/((-16)/j + 2)?
8
Suppose 6*s - 2*s = 32. Let m(k) = -k**2 - 9*k + 9. Let j be -2*3/(-12)*-14. What is the remainder when m(j) is divided by s?
7
Let u = -7 - -100. Let v = 41 - 17. What is the remainder when u is divided by v?
21
Calculate the remainder when 27 is divided by (8 - 5)*30/9.
7
Let v(z) = 2*z - 5. Let h be v(6). Let p be 26/h - 4/(-14). Suppose 2*c - 14 = 2*x, 0*c + 4*x - p = -4*c. Calculate the remainder when 7 is divided by c.
3
Suppose 6*h - h = -4*s + 721, h - 4*s = 149. Suppose 0 = 4*w - h - 27. Calculate the remainder when w is divided by 22.
21
Suppose 3*l + 5*p + 120 = -0*l, 3*p - 40 = l. Calculate the remainder when 13 is divided by l/12*6/(-4).
3
Let z(l) = -l**2 + l. Let w(q) = 3*q**2 - 4*q + 1. Let r(j) = w(j) + z(j). Calculate the remainder when r(2) is divided by 2.
1
Suppose 0 = 5*f - 29 - 186. Let s be 35/(-6) + (-5)/30. What is the remainder when f is divided by (-5 - s) + 14/1?
13
Suppose 2*j = 3*k - 44 - 23, 2*j = 2. Suppose -29 = -3*w - 2*v, 5*w - 3*v - 72 - 8 = 0. Calculate the remainder when k is divided by w.
10
Let u(m) = -5*m + 1. Suppose -3*a + 65 = x, -3*a = a - x - 82. Calculate the remainder when a is divided by u(-2).
10
Suppose 2*l = -0*m - m + 5, -4*m + 56 = -l. Let v be (0*1/1)/1. Suppose 18 = 3*s + d - 0*d, v = s - 5*d - 22. What is the remainder when m is divided by s?
6
Suppose 3*c - 5*q - 45 = 0, -5*c - 34 = -2*q - 128. What is the remainder when 37 is divided by c?
17
Let t be 0/(-3) + (1 - -3). Let n = t + 1. Suppose n*u - u - 52 = 0. What is the remainder when 24 is divided by u?
11
Suppose 195 = 13*c + 52. What is the remainder when 44 is divided by c?
0
Suppose 0 = -2*d - 4*b - 233 + 97, 0 = -5*d + b - 362. Let r = -43 - d. What is the remainder when r is divided by 16?
13
Let c = -8 + 119. Calculate the remainder when c is divided by 28*1*(3 + -2).
27
Let b(x) = -6*x + 3. What is the remainder when b(-10) is divided by 22?
19
Let b(c) = 3*c**2 + 4*c + 3. Let o = -5 + 8. Let v be (-3)/6 + o/(-2). Calculate the remainder when 12 is divided by b(v).
5
Suppose -4*f = 4*m + 16, -f + 4*m = -6*f - 19. What is the remainder when f - -11 - 1 - 1 is divided by 3?
0
Suppose 0 = -3*s - 1 + 7. Suppose 2*p = s - 0. Calculate the remainder when 1 is divided by p.
0
Let u be -3*3/(-2 - -11). What is the remainder when 61 is divided by 64/4*u*-1?
13
Suppose -3*a = f + 4*f - 24, 21 = 5*f + 2*a. Let z(t) = 2*t**2 - 2*t + 1 + 6*t - f. What is the remainder when z(3) is divided by 10?
8
Let l be (0 + -6)*228/9. Let g = l + 105. Let j = -21 - g. What is the remainder when j is divided by 9?
8
Let z(h) = -h**3 - h + 42. Calculate the remainder when z(0) is divided by 11.
9
What is the remainder when 26 is divided by (6/12)/((-1)/(-14))?
5
Let v = -32 - -74. Calculate the remainder when v is divided by 11.
9
Let t(c) = -c**2 + 10. Let j be (3 + 3)*10/4. Suppose 0 = 5*x - 15, -2*r + 7*x - j = 2*x. Calculate the remainder when 18 is divided by t(r).
8
Let f(h) = -h**2 - 4*h + 5. Let t be f(-4). Suppose t*j = 351 - 11. Suppose -k = k - j. Calculate the remainder when k is divided by 12.
10
Suppose 2 - 17 = -5*h, 5*l + 5*h = 25. Suppose 2*m = -3*m - n + 9, l = -m - 4*n. What is the remainder when 20 is divided by m*((-45)/(-6) + -2)?
9
Let i = -22 + 12. Let p = i - -15. What is the remainder when 8 is divided by p?
3
Let z = -22 - -13. Let i = 29 + z. Calculate the remainder when 77 is divided by i.
17
Let x(q) = q**2 - 10*q + 6. What is the remainder when x(11) is divided by 3?
2
Suppose -9*o + 40 = -4*o. Let f(w) = -w**2 + 9*w. Calculate the remainder when 22 is divided by f(o).
6
Suppose -5*s - 10 = 0, -3*s - 60 + 6 = -2*g. Calculate the remainder when 68 is divided by g.
20
Let u = -38 + 85. Suppose 5*c + x = 6*x - 15, 0 = -x + 1. Calculate the remainder when u is divided by 0 - (4*8)/c.
15
Suppose 4*g + 3 = -1. Calculate the remainder when (-6 - -3)*g - -74 is divided by 20.
17
Let n = 2 - 2. Suppose -4 = -4*t, n = 7*y - 3*y - 2*t - 102. What is the remainder when y is divided by 14?
12
Let i(d) = d**3 - 10*d**2 - 12*d + 16. Let w be i(11). Let g = 69 - 48. Calculate the remainder when g is divided by 11/(-3)*(w - 8).
10
Let f be 72/16*4/6. Suppose u = -2 - f. Let o = u - -17. Calculate the remainder when 46 is divided by o.
10
What is the remainder when 84 is divided by (-58 + (2 - 2))*1/(-2)?
26
Suppose 5*h - 20 = -0*h. Suppose -3*w = 2*t - 43, 5*t + 0*w - 104 = -h*w. Let i = 18 - 11. Calculate the remainder when t is divided by i.
6
Let a(b) = b**2 + 8*b + 9. Suppose g - 12 = 2*q, -2*g - 5*q = 2*g - 35. Let n = -5 + g. What is the remainder when n is divided by a(-7)?
1
Let h = 54 + -20. Suppose -j + 32 = -0*j - 4*n, -5*j + 2*n + 142 = 0. Let x = j + -16. Calculate the remainder when h is divided by x.
10
Let q(f) be the first derivative of -f**4/4 - f**3 + f**2/2 - 2*f + 1. Calculate the remainder when 38 is divided by q(-4).
8
Let h = 8 + -19. Calculate the remainder when 23 is divided by -3 + 5 + h/(-1).
10
Let j be -2 + (1 - -1) - -10. Suppose -j = -5*k + 25. What is the remainder when 11 is divided by k?
4
Suppose -5*j - 206 = -71. Let o = 42 + j. What is the remainder when o is divided by 4?
3
Suppose -13 = -5*f + 2. Let c be (12 - 12) + 1 + 2. Suppose 0 = -c*s - f + 87. Calculate the remainder when s is divided by 10.
8
Let n(q) = -9*q + 9. Let d be n(-8). Suppose -i = -c - 24, 4*i + 4*c - d = 23. Calculate the remainder when i is divided by 9.
7
Suppose -3*w - 4 = -25. Suppose 5*h = 4 - 29, 0 = -4*q + 3*h + 15. Suppose -g - 3*b + 7 = q, -g + b + 19 = 4*g. What is the remainder when w is divided by g?
3
Suppose -64 = -3*k + 29. What is the remainder when k is divided by 8?
7
Let a(b) be the third derivative of 5*b**4/24 - b**3/3 +