o - 7 = 4*t. Suppose 0 = 5*n - 4*c - 209, 0 = 4*c + c + o. Calculate the remainder when n is divided by 21.
20
Suppose 5*g = 3*a + 11 - 1, -2 = -g - 2*a. Suppose g*k - 52 + 2 = 3*h, 0 = -3*h - 6. Let o = -17 + 29. What is the remainder when k is divided by o?
10
Let q(i) = -7*i + 1. Let j be q(3). What is the remainder when 44 is divided by 6/5*(-250)/j?
14
Let m = -233 - -459. What is the remainder when m is divided by 46?
42
Let w(d) = 3*d**3 + 15*d**2 - 3*d - 4. Calculate the remainder when 53 is divided by w(-5).
9
Suppose -17 + 5 = -3*a. What is the remainder when 17 is divided by a?
1
Let m = -4 - -4. Suppose m = -6*n + 3*n + 63. What is the remainder when n is divided by 11?
10
What is the remainder when 14/(-91) - (11248/26)/(-4) is divided by 11?
9
Suppose 2*x - 91 = 249. Calculate the remainder when x is divided by 44.
38
Let l(t) = -5 - 19*t**2 + 5*t**2 - 4*t + 7 + 3*t. Let u be l(-2). Let h = -37 - u. Calculate the remainder when h is divided by 8.
7
Let r be ((-484)/(-6))/((-2)/(-3)). Suppose -5*s = -3*m - 387, 0 = 2*s - m - 34 - r. Calculate the remainder when s is divided by 27.
24
Let s(w) = w**3 - 8*w**2 + 2*w + 13. What is the remainder when 82 is divided by s(8)?
24
Let w(q) = q**2 - 3*q - 10. What is the remainder when 196 is divided by w(-4)?
16
Let o = -17 - -30. Suppose 47 + 29 = 2*r. Calculate the remainder when r is divided by o.
12
Suppose 2*p - 26 = -3*o, 0 = 2*p - p - 5*o - 13. What is the remainder when 36 is divided by p?
10
What is the remainder when 11 is divided by (-12)/(-14)*(-63)/(-18)?
2
Let c = -26 + 64. What is the remainder when 225 is divided by c?
35
Let r be ((-16)/5)/((-2)/5). Suppose 2*n + r = 64. What is the remainder when n is divided by 10?
8
Let u(a) = -a**2 + 9*a + 6. Let m(o) = -5*o + 30. Calculate the remainder when m(-3) is divided by u(6).
21
Suppose -4*s + 22 = -5*i, -2*i + 20 = 2*s - 0*i. Calculate the remainder when s is divided by 5.
3
Suppose 4*z - 30 = -z. Let n = -27 - 25. Let t = -30 - n. What is the remainder when t is divided by z?
4
Let d(o) = 2*o - 12. Let c be d(8). What is the remainder when ((-21)/2)/((-3)/c) is divided by 0 + 9 - (0 + 1)?
6
Let r = -15 - -9. Let c(f) = -f**2 - 6*f + 8. What is the remainder when 21 is divided by c(r)?
5
Let z(k) = -k**3 - 6*k**2 - 5*k + 4. Let h be z(-5). Suppose 0 = -x - h*x + 105. Let g = x + 10. Calculate the remainder when g is divided by 11.
9
Let s(y) = 10*y. Let g(l) = -l + 1. Let f be g(-1). Calculate the remainder when s(f) is divided by 12.
8
Suppose -81*f + 82*f = 3. Calculate the remainder when f is divided by (1/2)/(1/4).
1
Let v = 5 - 1. Suppose -6*x = -v*x - 8. Suppose 0*t - 12 = -x*t. Calculate the remainder when 8 is divided by t.
2
Suppose 156 = 4*u - 152. Calculate the remainder when u is divided by 4.
1
Calculate the remainder when (8/2)/((11/3)/11) is divided by 4.
0
Suppose s = 3*s - 5*x - 53, -4*x + 120 = 4*s. Calculate the remainder when 171 is divided by s.
26
Suppose 3*f - 22 = 4*z, 4*f - 6*z = -11*z + 81. What is the remainder when 39 is divided by f?
11
Let i = 17 + -9. Suppose h - 2*z - 2 = 0, -4*h + 3*z - 25 = 6*z. Let t = h - -9. What is the remainder when i is divided by t?
3
Let v be (2 - -5) + (1 - 5). Suppose v*o + 2*o - 370 = 4*b, 3*o - 209 = 5*b. What is the remainder when o is divided by 20?
18
Suppose -7*o = -5*o. Suppose -2*f + 4*a + 22 = 0, f + 4*a - 22 - 7 = o. Calculate the remainder when f is divided by 6.
5
Suppose -275 = -5*z + 150. Suppose -3*b + 0*p = 2*p - 35, 5*b - z = 2*p. Calculate the remainder when 42 is divided by b.
12
Suppose -153 = -5*y - 4*l - 38, -5*y - 2*l = -125. Calculate the remainder when 131 is divided by y.
23
Let u = -14 + 20. Let z(r) = -r**3 + 7*r**2 - 4*r - 3. What is the remainder when (5/4)/(2/40) is divided by z(u)?
7
Suppose -727 = -5*b + 2*d - 4*d, 0 = -2*b - d + 290. What is the remainder when b is divided by 37?
36
Let b = -4 + 8. Calculate the remainder when 5/((-100)/(-148)) + 2/(-5) is divided by b.
3
Let z be 14/(7/5 - 1). Calculate the remainder when 14/z + (-326)/(-10) is divided by 18.
15
Let d = -20 - -36. What is the remainder when 31 is divided by d?
15
Calculate the remainder when (2/6)/((-4)/(-228)) is divided by 11.
8
Suppose -2*r + 14 + 12 = 0. What is the remainder when 25 is divided by r?
12
Let x = 12 + -8. What is the remainder when x is divided by 3?
1
Suppose 78 = 3*c + x - 63, -c + x + 51 = 0. Suppose -4*y = 3*r - 50, -2*r + c = 4*y - 0*r. Calculate the remainder when y is divided by -1 + 3/6*14.
5
Let t be (-22)/77 - (-338)/7. Calculate the remainder when 19 is divided by (30/8)/(18/t).
9
Let p(u) = -u**2 + 9*u - 10. Let g be p(7). Suppose -51 = -3*z + g*j - 15, -3*j - 1 = z. What is the remainder when 1 + (-1)/(-1)*22 is divided by z?
7
Suppose 0 = 6*c - c. Suppose c = -o - 3*j + 76, -o - o = 4*j - 146. Calculate the remainder when o is divided by 23.
21
Let v = -51 - -56. Calculate the remainder when 19 is divided by v.
4
Suppose i + 5*b - 12 = 0, -i - 3*b - 116 = -6*i. Calculate the remainder when i is divided by 4.
2
Let p(i) = 21*i. Let q(k) = -5*k + 2. Calculate the remainder when p(1) is divided by q(-2).
9
Let u(r) = -70*r - 2. Let f(k) = -70*k - 1. Let s(z) = 3*f(z) - 2*u(z). What is the remainder when s(-1) is divided by 24?
23
Suppose 4*o - 20 = 52. Let f = -10 + o. What is the remainder when 31 is divided by f?
7
Suppose 25 = -5*f, 4 - 39 = -4*a - 5*f. What is the remainder when 47 is divided by 6/a - (-78)/5?
15
Suppose -231 = 5*b - 2*b. Let g = b + 39. Calculate the remainder when 1/((-2)/g - 0) is divided by 7.
5
Let s(f) = 4*f - 1. Suppose 4*i - 40 = 3*q, -i = 2*i - 12. Let g = q - -20. What is the remainder when g is divided by s(2)?
5
Suppose -80 = -6*y + y + 5*g, -2*y = 4*g - 14. Let x = 29 - -8. What is the remainder when x is divided by y?
11
Let f be 1 - (-3 - (-2 + 191)). Suppose d - 62 - 2 = -4*m, 5*m = 4*d - f. Calculate the remainder when d is divided by 18.
16
Let t = -130 - -261. Suppose 5*l + 94 = -t. Let c = -31 - l. Calculate the remainder when 40 is divided by c.
12
Suppose -3*l + s + 5 = 0, 5*l - 2*s = l + 6. Suppose -4*w = 4*a - 68, 5*a + 35 = l*w - w. What is the remainder when 79 is divided by w?
19
Suppose -3*q + 324 = 3*n, -n + q = -2*q - 96. Suppose -4*m = 5*b - n, m - 25 = 6*m. What is the remainder when b is divided by 7?
4
Let r(g) = g**3 + 4*g**2 - g. Calculate the remainder when 44 is divided by r(-3).
8
Let n be (-2)/(-2)*(6 - 1). Suppose -3*q + 5*j = -220 + 23, -5*q - n*j = -275. Calculate the remainder when q is divided by 12.
11
What is the remainder when (63/(-15))/(3/(-15)) is divided by 12?
9
Suppose 5*h + 85 = 5*o, -h - o - 21 = 2*o. Let n(z) = z**2 - 3*z + 8. Let u be n(6). Let p = h + u. What is the remainder when 23 is divided by p?
7
Suppose 2*v - 93 = -5*o, 2*v + 4*o - 82 = 10. Calculate the remainder when v is divided by 17.
10
Let i(f) = 10*f. Let j be i(1). Let b = j - 1. What is the remainder when 17 is divided by b?
8
Let x(p) = -p**2 + 15*p + 62. Let k = -3 - -84. What is the remainder when k is divided by x(17)?
25
Let m(q) = q**2 - 7*q + 2. Let b be m(5). Calculate the remainder when 8 is divided by 80/4*(-2)/b.
3
Suppose 5*c - 4*b = 56, -2*c + 22 = -4*b + 2*b. Let o(h) = 7 + h**2 + 0*h**3 + h**3 - 2*h - 5*h**2. Calculate the remainder when o(5) is divided by c.
10
Suppose 0 = c - 14 - 7. Calculate the remainder when 82 is divided by c.
19
Let v(d) be the second derivative of d**5/20 + 2*d**4/3 - d**3/3 + d**2/2 - 2*d. What is the remainder when v(-8) is divided by (-3)/((-6)/20) + -1?
8
Let o(c) = 4*c**3 - 2*c**2 - 2. Let d be o(2). Let x = d - 9. Calculate the remainder when x is divided by 7*1/(3 - 2).
6
Let x(r) = -3*r - 3. Let f be x(-4). Let y = 24 - f. What is the remainder when y is divided by 8?
7
Suppose -5*u + 80 = -u. What is the remainder when (2*-1)/((-2)/23) is divided by ((-12)/(-10))/(2/u)?
11
Let f be (24/(-20))/(2/5). Calculate the remainder when (-381)/(-12) - f/12 is divided by 18.
14
Let p(o) = o**2 - 7*o - 4. Let y be p(8). Suppose -5*v - 94 = -y*w, -2*v + 5 = -4*w + 93. Calculate the remainder when w is divided by 8.
5
Let r(f) = 2*f**2 + f - 2. Calculate the remainder when 21 is divided by r(2).
5
Let p(c) = -2*c**2 + 4*c + 93. What is the remainder 