 Calculate the remainder when 35 is divided by a.
17
What is the remainder when 26 is divided by 3 - 16/(-3 - 1)?
5
Suppose 0*w + 3*w = -2*s + 64, 70 = 3*w - 4*s. Let q be 1 - (-6 + 1/1). What is the remainder when w is divided by 4 - 0 - (4 - q)?
4
What is the remainder when 12/(-2 - -6) + 48 is divided by 13?
12
Let t(n) = -n**3 + 14*n**2 - 11*n + 1. What is the remainder when 80 is divided by t(13)?
26
Let o = 186 + -132. What is the remainder when o is divided by 19?
16
Suppose -3 = i - 6. Let j = 8 - -6. What is the remainder when j is divided by 25/i + (-2)/6?
6
Suppose 2*l - 40 = -i, 5*i - 3*i - 5*l - 71 = 0. What is the remainder when i is divided by (-45)/6*(-4)/3?
8
Let k(i) = 2*i**2 - 3. Let s = 258 - 214. Calculate the remainder when s is divided by k(3).
14
Let c(q) = -q + 10. Let w be c(6). Suppose v + 0*l - 5 = l, w*l = -2*v + 34. Calculate the remainder when v is divided by 5.
4
What is the remainder when (57 - 11) + (-1 - -1) + -3 is divided by 12?
7
What is the remainder when 39 is divided by ((-6)/9)/((-8)/84)?
4
Let w = -39 - -98. Calculate the remainder when w is divided by 22.
15
Suppose 3*q + 5 = -7. Calculate the remainder when (-4)/3*6/q is divided by (-2 - 2)/(-4)*1.
0
Suppose -63 - 32 = -5*z. Suppose -3*b - 4 = 4*r - 41, 3*r + 2*b - 27 = 0. Calculate the remainder when z is divided by r.
5
Let p be (91/21)/((-1)/6). What is the remainder when (-2)/(-4) + (-819)/p is divided by 9?
5
Let h be 4/6 + 4/3. Suppose -3*i + 6 + 9 = 0. What is the remainder when h + (3*4)/1 is divided by i?
4
Let b(t) = -31*t + 1. What is the remainder when 95 is divided by b(-1)?
31
Let x be (1/((-4)/184))/(-1). Let v = x - 28. Suppose -2*f - 3*f = -265. Calculate the remainder when f is divided by v.
17
Suppose -4*f + 4*v + 12 = 0, 2*f - 3*v - 11 = -3*f. Suppose 3*m - 8*m = -10. Calculate the remainder when m is divided by f.
0
Let y be 1/2 + (-52)/(-8). Suppose -6*x = -y*x + 16. Calculate the remainder when x is divided by 9.
7
Suppose 5*o + 1 = a, 3*o - 2*o + 2*a = 2. Suppose t - 31 = -o*t. Calculate the remainder when t is divided by 11.
9
Let z = -10 - -2. Let q(g) = g**2 + 8*g + 5. Let p be q(z). Let d = p - 2. Calculate the remainder when 8 is divided by d.
2
Let t = -56 + 32. Let h = t + 34. What is the remainder when h is divided by 5/(-2)*12/(-5)?
4
Let n(y) = -y**2 + 6*y - 2. Let d(a) = a - 1. Let f be d(5). Calculate the remainder when 23 is divided by n(f).
5
Let x(o) = o**3 + 12*o**2 + 10*o + 8. What is the remainder when x(-8) is divided by 31?
29
Suppose 0 = -4*l + 5*l - 3*r - 83, -5*l = r - 447. Calculate the remainder when l is divided by 23.
20
Suppose a + z = 12, -3*a = -2*a + 5*z. Let o = 27 - a. What is the remainder when 45 is divided by o?
9
Suppose q + 3 = 4*i - 343, -5*i = 2*q - 426. Calculate the remainder when i is divided by 29.
28
Let d = 8 + -5. Let b = -1 + d. What is the remainder when b is divided by 2?
0
Suppose -s + 5 - 1 = 0. Suppose -s*i + 57 + 15 = 0. Let l(h) = -h**2 - 10*h + 26. Calculate the remainder when l(-9) is divided by i.
17
Let z be 6/4*(-100)/(-6). Suppose 15 = r - z. What is the remainder when r is divided by 21?
19
Let g(t) = -t**2 - 6*t - 3. Let h be g(-5). Suppose -2*o + 44 = h*o. What is the remainder when 21 is divided by o?
10
Suppose 5*t + 4*i - 12 = 152, 3*t + 4*i - 92 = 0. Suppose 4*r + 24 - 100 = 0. Calculate the remainder when t is divided by r.
17
Suppose -2*f - 11 = -4*l + 17, -2*f - l - 43 = 0. Let w = -18 - f. What is the remainder when 3 is divided by w?
1
Let q = -2 - -2. Suppose -g + 5*s - s + 33 = q, 4*s - 172 = -4*g. What is the remainder when g is divided by 14?
13
Suppose 2*v + 68 = 6*v. Calculate the remainder when 49 is divided by v.
15
Suppose 6 = -c + 3*c. Let z = -5 - -10. What is the remainder when z is divided by c?
2
Let f(l) be the second derivative of l**5/20 - 5*l**4/12 - 2*l**3/3 + l**2/2 - 2*l. What is the remainder when f(6) is divided by (-5)/(10/(-16)) + -1?
6
Let l be (-4)/(-3)*9/2. Let q = -1 - -8. What is the remainder when l/(-27) - 110/(-9) is divided by q?
5
Let t = 27 - 3. What is the remainder when t is divided by 13?
11
Let n = 290 - 183. Let x = n - 60. Calculate the remainder when x is divided by 12.
11
Let t(g) = -4*g - 2. Let c be t(-2). Let q(o) = -o**3 - 11*o**2 + o + 12. What is the remainder when c/2*2/3 is divided by q(-11)?
0
Let s = 0 + 17. What is the remainder when s is divided by 5?
2
Suppose -119 = -7*i - 0*i. What is the remainder when i is divided by 10?
7
Let u(z) = 25*z**2 + 3*z + 2. Let p be u(-4). Suppose 2*g = -3*g + p. What is the remainder when g is divided by 20?
18
Let v(i) = -i**3 - 6*i**2 + 5. Let q(d) = -3*d + 3. Let h be q(3). What is the remainder when 17 is divided by v(h)?
2
Suppose -47 = -5*m + 2*y, 2*y + 0*y + 3 = m. Calculate the remainder when m is divided by (5 - (-1)/1) + -2.
3
Suppose 78 = 2*q + l, -5*q + l + 39 = -149. Calculate the remainder when q is divided by 13.
12
Suppose 0 = 4*g - 0*g - 80. Let x = g + -13. Suppose -33 = -a - 5*m, -51 = -3*a - 4*m + m. What is the remainder when a is divided by x?
6
Suppose 7*d = 2*d + 65. Calculate the remainder when 62 is divided by d.
10
Suppose -52 = -5*c - 4*f + 36, 5*f = 4*c - 54. What is the remainder when 58 is divided by c?
10
Suppose -66 - 53 = -5*c - 2*n, 0 = -5*n - 15. Suppose 36 = 2*u + 12. What is the remainder when c - (18/3 - 4) is divided by u?
11
Let v(q) = -1 + 0*q - 2*q - q. Calculate the remainder when 2*(-1 + 4 + (-3)/(-2)) is divided by v(-2).
4
Suppose -2*n + 5*w + 142 = -0*n, -3*w = 2*n - 126. Let t = -83 - -100. What is the remainder when n is divided by t?
15
Let w(a) = a**2 + 2*a - 4. Let g be w(-4). Suppose 0 = t + 4*n + 7, -g*t - 4*n - 6 = -2. Suppose v - 3 = t. What is the remainder when 6 is divided by v?
2
What is the remainder when 297 is divided by 3 - 11/((-66)/72)?
12
Let p(a) = 44*a**3 - a**2 + a. What is the remainder when p(1) is divided by 16?
12
Suppose 5*d - 46 = 4*j, 2*j + 25 = 2*d + 7. Let l = d + -7. What is the remainder when 11 is divided by l?
2
Let k = -19 - -9. What is the remainder when 38 is divided by (-68)/(-5) + 6/k?
12
Suppose -2 = -5*k + 4*k. Suppose -3*r = -k*u + 132, 4*r - 118 + 0 = -2*u. Suppose u = 4*d - 21. What is the remainder when 61 is divided by d?
19
Let h(m) = m**2 - 8*m - 29. What is the remainder when h(-8) is divided by 17?
14
Suppose 4*y + 20 = 4. Let f = 2 - -6. What is the remainder when 8 is divided by (y - 0)*(-10)/f?
3
Let v(m) = -m**3 + m**2 - m + 4. Let t(r) = -r**2 + 1. Let l be t(-1). Calculate the remainder when 7 is divided by v(l).
3
Suppose -4*a = -0*a - 4. What is the remainder when 3 is divided by a?
0
Let h = 0 + 5. Suppose -4 = -h*v + 11. Suppose 1 = k - v. Calculate the remainder when 11 is divided by k.
3
Let k be 1 - (0 - -1 - 0). Suppose -4*y - 78 = v - 3*v, k = -2*v + 3*y + 76. Calculate the remainder when v is divided by 0 + (4 - (-4 - 10)).
17
What is the remainder when 5 - 6 - 5*-4 is divided by 4?
3
Suppose 22 = 4*b - 2*s, 3*s = 2*b - 6 - 3. Calculate the remainder when 14 is divided by 10/(-15)*b*-2.
6
Let i = 0 + 5. Suppose 107 = i*y - 393. Suppose -5*z + f = -108, -y = -5*z - 0*z + 5*f. Calculate the remainder when z is divided by 12.
10
Let f(z) = -4*z - 5. Let g = 0 + 3. What is the remainder when f(-3) is divided by g?
1
Suppose 18 = -3*n + 144. Suppose 2*r + 8 = 38. Calculate the remainder when n is divided by r.
12
Let o(h) = h**2 - 9*h + 12. Calculate the remainder when o(8) is divided by (-6)/(-24) + (-22)/(-8).
1
Calculate the remainder when 45 is divided by 243*(-9)/(-54)*(-4)/(-6).
18
Suppose 3*k + 3*l - 2*l - 80 = 0, -5*l = 4*k - 103. What is the remainder when k is divided by 14?
13
Suppose 5*n - 23 = 62. What is the remainder when 99 is divided by n?
14
Let p be 2 - 3/(-2 + -1). What is the remainder when 2/6*23*p is divided by 12?
11
Let z = -13 - -37. Calculate the remainder when z is divided by 15.
9
Let c be (-2 - 40)*(3 - 2). Let i = c - -88. What is the remainder when i is divided by 4/(-40)*-4*40?
14
Let x(g) = g. Let h(k) = 2 + 16*k - 5*k + 4 - 4. Let t(z) = -h(z) + 6*x(z). Calculate the remainder when 52 is divided by t(-4).
16
Let q = 26 - 11. Let w = -31 + 40. Calculate the remainder when q is divided by w.
6
Suppose d - 44 = -4. Let 