
Let c be (0 + (1 - 17))/(-2). Suppose j + p = 7, j + 4*p = 6*j - c. Suppose -a + 17 = -4*x - 23, j*x = 0. What is the remainder when a is divided by 21?
19
Let v be 17 + -8 - (0 + 3). Suppose -326 = -v*w + 106. What is the remainder when w is divided by 15?
12
Let w(t) = -t + 5. Let o be w(4). Let r be (76 - -7) + (-3)/o. Suppose 3*v + 11 = r. Calculate the remainder when v is divided by 6.
5
Let a(j) be the third derivative of 17*j**4/24 - 7*j**3/6 - 12*j**2. What is the remainder when 79 is divided by a(2)?
25
Suppose z + 44 = 3*o, 0 = -o - 7*z + 4*z + 18. Suppose -2*h + 0*h = 2*a - 28, 18 = 2*a - 3*h. Calculate the remainder when a is divided by o/2 - (-14)/(-28).
5
Let a(y) = 27*y - 7*y + y**2 - 2 + 11. Let g(i) = -2*i - 4. What is the remainder when a(-20) is divided by g(-3)?
1
Suppose 4*s - 60 = -0*s. Let h = -11 + s. Suppose 4*m - 5*o + 9 = -8, -2*o = -h*m - 2. What is the remainder when 6 is divided by m?
0
Let w(i) = -2*i**2 - 21*i - 9. Let o = -46 + 37. What is the remainder when 47 is divided by w(o)?
11
Suppose 0 = 2*a - 4*m - 152, 3*a + 2*a = -2*m + 332. Suppose -106 = -2*r + a. Calculate the remainder when r is divided by 18.
15
Let p = 15 - 11. Suppose -2*v - p*m - 30 = 0, -3*m + 49 = v - 5*v. Calculate the remainder when 49 is divided by ((-5)/5)/(1/v).
10
Let b = 577 + -568. Let n be 10/(-1)*(-2 - -4). Let g = 6 - n. Calculate the remainder when g is divided by b.
8
Suppose -428*o + 436*o - 96 = 0. What is the remainder when 68 is divided by o?
8
Let x = -68 - -5. Suppose -73 = 11*k - 359. What is the remainder when k is divided by (2/(-6))/(3/x)?
5
Suppose 0 = -3*n + 4*l - 3*l - 269, 0 = 5*n - 5*l + 435. Let s = -56 - n. Let h = -648 - -666. Calculate the remainder when s is divided by h.
17
Suppose -2*n - 2 = -3*q, 0 = -2*n - 5*q - 3 + 1. Let r be 5/5 + n*4. Let k = 13 + r. Calculate the remainder when k is divided by 7.
3
Let o(q) = -2*q**2 - 11*q + 15. Let k(g) = 5*g**2 + 33*g - 46. Let m(h) = 3*k(h) + 8*o(h). Let j = -20 - -49. Calculate the remainder when j is divided by m(7).
9
Let t(p) = 9*p**2 - 2*p. Calculate the remainder when t(-3) is divided by (-65)/(-3) - 3/(-9).
21
Let k(d) = -3*d + 20. Let q(h) = h**3 - 6*h**2 + 5*h - 9. Let j be q(5). Calculate the remainder when k(j) is divided by 10.
7
Let t(l) = -2 + 3 - 2*l + 3*l**2 + l**2. Let m(w) = -w**2 + w + 4. Let s be m(-2). Calculate the remainder when 39 is divided by t(s).
18
Let v(p) = 2*p**3 + 41*p**2 - 24*p - 39. What is the remainder when 40 is divided by v(-21)?
16
Suppose 16*q - 3*q = 130. Let a(g) = -g - 3. Calculate the remainder when q is divided by a(-6).
1
Let k(t) = 7*t - 17*t**2 - 42*t + t**3 - 14 + 19*t. What is the remainder when k(18) is divided by 5?
2
Suppose 0 = 4*v + 929 - 2653. What is the remainder when v is divided by 12?
11
Let s(l) = 6*l**2 - 186*l + 32. What is the remainder when 43 is divided by s(31)?
11
Let z = 72 - 9. Let j be ((-6)/(-10))/((-2)/(-40)). What is the remainder when z is divided by 5/20 + 261/j?
19
Suppose 0*g - 40 = -y + 2*g, 72 = 2*y - 2*g. Let o be 2/15 - 178/(-15). Suppose 2*q - 5*q = -o, 2*m - 3*q = 2. What is the remainder when y is divided by m?
4
Suppose 5*w - 5*y - 42 = -4*y, 2*y - 36 = -5*w. Let t = -2440 + 2510. What is the remainder when t is divided by w?
6
Let m = -87 + 2047. Calculate the remainder when 2/6 - m/(-24) is divided by 21.
19
Let u(g) = -g**2. Let c(s) = -2*s**2 + 11*s - 7. Let t(l) = -c(l) + u(l). What is the remainder when t(13) is divided by (-19)/(-2) + 1/(-2)?
6
Let f = -4 + 7. Let g = 0 + f. Suppose g*m + m = 24. What is the remainder when 34 is divided by m?
4
Suppose 206 = 5*q - 3*s, -4*q + 2*s = -177 + 13. Calculate the remainder when 88 is divided by q.
8
Suppose 6*k + 28 = 130. Let m be (-46 + 0)*(-4)/1. Suppose m + 11 = 3*i. What is the remainder when i is divided by k?
14
Let t = 1224 + -549. What is the remainder when t is divided by 52?
51
Let h be (45/25)/(-3) + 1214/(-10). Let v = -82 - h. Calculate the remainder when 117 is divided by v.
37
Suppose -l = 4*l - 35. Suppose 3*h - 2*y - 87 = -5*y, 0 = -h + 5*y + 5. What is the remainder when h is divided by l?
4
Let g(f) = -91*f + 386. What is the remainder when 75 is divided by g(4)?
9
Let o = 2 - -13. Let m(d) = 5*d**3 - 28*d**2 - 12*d + 27. Calculate the remainder when m(6) is divided by o.
12
Suppose -3*c = 3*d - 372, -90*c = -95*c. Calculate the remainder when d is divided by 16.
12
Suppose 4*c - 186 = -3*p, -2*c + 0*c + 258 = 4*p. Suppose 154 = -64*v + p*v. What is the remainder when v is divided by 20?
17
Let g(i) = i**3 + i**2 - 2*i + 1. Let p be g(2). Let c = 9 - p. Suppose 3*x + 2*m - 36 = -x, -3*x + 5*m + 53 = c. What is the remainder when 54 is divided by x?
10
Suppose 56 = p + 3*p. Let w be 2/12 + 1 + 22/12. Suppose -5*v - 5 = c + c, -p = -c + w*v. Calculate the remainder when c is divided by 2.
1
Suppose -5*k + 248 = -12. Suppose 0*u = 4*u - k. What is the remainder when 88 is divided by u?
10
Suppose -13*b + 14*b - 6 = 0. Let m(f) = -f**3 + 7*f**2 - 4*f + 8. What is the remainder when m(b) is divided by 6?
2
Let u = 55 + -45. Calculate the remainder when (3/5)/(6/180) is divided by u.
8
Suppose 759*b = 746*b + 442. What is the remainder when 174 is divided by b?
4
Suppose 2*j = -4*c + 24, 5*j + 6*c - c - 65 = 0. Let a = 251 + -213. What is the remainder when a is divided by j?
10
Let h(w) = w**2 + 10*w - 3. Let j be 54/13 - 14/91. Suppose n = 3*m - 2*n - 75, -61 = -3*m - j*n. Calculate the remainder when m is divided by h(-11).
7
Suppose -162*a = -168*a + 606. What is the remainder when a is divided by 88?
13
Let y(o) = 4*o**2 - o + 24. Let d(l) = 5*l**2 + 24. Let c(f) = -5*d(f) + 6*y(f). Calculate the remainder when c(-8) is divided by 5.
3
Let r = 46 - 43. Let j = 13 + -19. Let m(z) = -z**2 - 8*z - 8. What is the remainder when m(j) is divided by r?
1
Suppose -3*u + 1 = -5. Suppose -6*j + 205 = 3*v - u*j, 2*j - 134 = -2*v. What is the remainder when v is divided by 2*(1 - 3)*-4?
15
Let u = -4 + 4. Suppose 3*g + 3 - 15 = u. What is the remainder when g is divided by 3?
1
Suppose -38*u = -5*p - 36*u + 39, -4*p = -4*u - 36. Calculate the remainder when 2/(-4*2/(-212)) is divided by p.
4
Let j = 41 - 38. Suppose -3*v - 22 = -z, j*z + 42 = 4*z + v. What is the remainder when z is divided by 13?
11
Let k(x) = -185*x + 4. Let y(c) = 62*c - 1. Let n(p) = -3*k(p) - 8*y(p). Suppose -3*v + 140 = 2*v. Calculate the remainder when n(1) is divided by v.
27
Suppose -y = -3*w - 3, -5*y - 5*w - 2 = -97. Suppose -y = -d - 3*m + 1, 2*m = 4. Calculate the remainder when 37 is divided by d.
7
Suppose 34*s = -4*s + 2318. Calculate the remainder when 141 is divided by s.
19
Let g(v) = 210*v + 516. Let k(t) = -3*t + 4. Calculate the remainder when g(-2) is divided by k(-7).
21
Let x = -182 - -256. What is the remainder when x is divided by 7?
4
Calculate the remainder when (-285)/(-1) + (8 + 11)/19 is divided by 5.
1
Suppose 0 = -3*a + 2*w - 0*w + 28, 0 = -2*a - 4*w - 8. Suppose 0 = -23*f + a*f + 323. What is the remainder when f is divided by 10?
9
Let x = 56 - 54. Suppose 5*a = 4*b + 100, -5*b = -x*a - 0*a + 57. What is the remainder when 75 is divided by a?
11
Suppose f + 430 = 6*f + y, f - 5*y = 86. Calculate the remainder when 254 is divided by f.
82
Let k = -435 + 438. What is the remainder when (4/(-5))/((-4)/30) is divided by k?
0
Let t = 31 + -26. Let g be t - 2 - 3/(-3). Suppose -u - g*u - 79 = -3*j, -j + 49 = 4*u. Calculate the remainder when j is divided by 9.
6
Suppose -236*y = -226*y - 60. What is the remainder when 14 is divided by y?
2
Calculate the remainder when 391 is divided by (-30)/6 + (-7)/(-1)*7.
39
Let t = -44 + 62. Suppose -n + 16 - t = 0. What is the remainder when 38 - -1 - n - 2 is divided by 10?
9
Let u(g) = 3*g**3 - 2*g**2 - g**2 + 2*g - 2 - 1. Let i(d) = -7*d - 9. Calculate the remainder when u(2) is divided by i(-2).
3
Suppose -2909 = -42*u + 997. Calculate the remainder when u is divided by 12.
9
Suppose -201*u = -204*u + 21. What is the remainder when 68 is divided by u?
5
Let z(u) = u**3 - 5*u**2 - 9*u - 15. Let o(h) = -1 + 0*h**2 + 7*h + 6*h**2 + h**3 - 2 - 4*h. Let w be o(-5). Calculate the remainder when 39 is divided by z(w).
19
Let b be (1 + 0 - (-196)/(-21))*-3. Suppose 5*v + 2*p = b, -2