t y be ((-10)/8)/((-1)/(-16)). Let j = 18 + -31. Let d = j - y. Calculate the remainder when 19 is divided by d.
5
Let n(f) = f**2 + 3*f. What is the remainder when 39 - (0/1 + 2) is divided by n(-5)?
7
Suppose q - 22 = 5*m, 5*m + 45 - 9 = 3*q. Suppose 0 = 3*l - 2*w - 3, 2*w - 3 + 0 = l. Calculate the remainder when q is divided by l.
1
Suppose n + 4 - 2 = 0. Let v = 11 + n. Calculate the remainder when 34 is divided by v.
7
Suppose c - 5 = -4. Let b(t) = 19*t**3 + 2*t**2 - t. What is the remainder when b(c) is divided by 11?
9
Suppose 4*z = -4*v - 0*z + 128, v - 4*z = 37. Calculate the remainder when v is divided by (-56)/(-6) + 2/(-6).
6
Suppose -v - x - 4*x = 1, -3*v + 3*x + 87 = 0. What is the remainder when v is divided by 9?
6
Let r(w) = -w + 7. Let j be r(7). Suppose n = -j*n + 23. Calculate the remainder when 44 is divided by n.
21
Let j = -85 - -97. Calculate the remainder when 22 is divided by j.
10
Let b be 1460/9 - (-4)/(-18). Let t = 227 - b. Suppose -3*k - 2*k = -t. Calculate the remainder when 37 is divided by k.
11
Let y = -2 + 4. Suppose 0 = 3*j + 14 - y. Let z(x) = -12*x + 1. Calculate the remainder when z(j) is divided by 17.
15
Suppose 24 = 2*j - 14. Calculate the remainder when 55 is divided by j.
17
Suppose -3*v = -6*v + 150. Let d = -1 - 1. Calculate the remainder when v is divided by (2/(-4))/(d/68).
16
Let o(g) be the second derivative of g**3/6 + g**2 - 4*g. What is the remainder when 30 is divided by o(6)?
6
Suppose 4*m - 5*m = -44. What is the remainder when 175 is divided by m?
43
Let y(r) = -r + 2. Let t be y(-2). Suppose 0*l - 3*j + 15 = l, -t*l + 24 = 3*j. Suppose 5*h - 2*h = l. Calculate the remainder when 2 is divided by h.
0
Suppose 3*p + 0*p = 66. What is the remainder when p is divided by 14?
8
Suppose -101 = -10*j + 79. What is the remainder when 53 is divided by j?
17
Suppose 7*l - 4*l = 195. What is the remainder when l is divided by 11?
10
Let g(o) = -4*o - 4. Let r be g(5). Let f = -18 + 30. What is the remainder when f is divided by 4*(-3)/(r/14)?
5
Suppose -5*g = -0*g - 525. Suppose 2*h + g = 5*h. Let r = -13 - -31. Calculate the remainder when h is divided by r.
17
Let b(n) = n**2 + 2. Let a be b(2). Suppose -3*d + a*d - 36 = 0. Let u = d - -17. What is the remainder when u is divided by 16?
13
Let c(v) = 5*v - 1. Let a(d) = -d**2 - 4*d - 3. Let f be a(-2). What is the remainder when c(f) is divided by 2?
0
Suppose i = d - 2 - 5, -i + 29 = 5*d. Calculate the remainder when (-3 - -1)*(2 - 13) is divided by d.
4
Let d = 0 + 6. Suppose u - 35 = -4*m, 110 = -2*u + d*u + m. Let r = u - 4. What is the remainder when r is divided by 8?
7
Let m(x) = 10*x**2 - 4*x + 5. Let l be m(2). Let i = l + -13. What is the remainder when i is divided by 13?
11
Let a = 352 - 237. Calculate the remainder when a is divided by 39.
37
Suppose 0 = -23*c + 402 - 80. What is the remainder when c is divided by 1/(1/(1 + 4))?
4
Let i = -8 - -19. Let d = i + -9. Suppose 3*t + 32 + 19 = 3*q, 106 = 5*q + d*t. What is the remainder when q is divided by 7?
6
Suppose 0 = -3*v - 4*v + 168. What is the remainder when 214 is divided by v?
22
Let w(s) be the second derivative of -s**5/20 + 5*s**4/12 + 5*s**3/3 - 4*s**2 - 2*s. Calculate the remainder when 31 is divided by w(6).
15
Suppose b - 8 = 1. Suppose 21 - 6 = 3*k. What is the remainder when b is divided by k?
4
Suppose -4*v = 4*n, -3*v + 6 = -0*n + 5*n. Calculate the remainder when 4 is divided by n.
1
Suppose -32 = -4*n + w, -4*w + 16 = -8*w. Suppose n*b = 2*b. Suppose -4*a + 4 = -b, -3*a = 5*d - 18. What is the remainder when 4 is divided by d?
1
Let y = -26 - -39. Calculate the remainder when y is divided by 7.
6
Let o(y) = 3*y**2 + 4*y - 1. Calculate the remainder when 94 is divided by o(2).
18
Let s be 1*-1*118*-1. Suppose 4 = 2*z + s. Let j = -25 - z. Calculate the remainder when j is divided by 17.
15
Let g = 28 - 27. What is the remainder when 3 is divided by g?
0
Suppose 387*d - 386*d - 23 = 0. Let m = -3 - -11. What is the remainder when d is divided by m?
7
Let p(x) = 14*x**2 - x. What is the remainder when 25 is divided by p(1)?
12
Suppose 0 = -3*j + 8 + 7. Let i = 5 + j. What is the remainder when i is divided by 4?
2
Let v(f) = f**2 + 9*f + 9. Let l be v(-7). Let z = 12 + l. Calculate the remainder when 27 is divided by z.
6
Let w = 2 + 1. Suppose u + 2*x = 10 + w, -3*u = 5*x - 38. Calculate the remainder when 32 is divided by u.
10
Let k(w) = -3*w - 28 + 5*w + 33. Calculate the remainder when 41 is divided by k(8).
20
Let h(f) be the second derivative of -f**5/20 + 2*f**3/3 + f**2/2 - 2*f. Calculate the remainder when 46 is divided by h(-3).
14
Let g = -90 - -96. What is the remainder when 69 is divided by g?
3
Let n = 16 - 14. Suppose -r - 14 = -n*r. Calculate the remainder when r is divided by 4.
2
Suppose -14 = 2*n - 4*k, 3*n - 5*n = 5*k - 4. Let w = n + 8. What is the remainder when 14 is divided by w?
4
Let x be -5*3/(-15)*8. Suppose -x + 1 = -r. What is the remainder when 12 is divided by r?
5
Let b(n) = -9*n - 5. Let l be b(-4). Suppose 5*f - r - 203 = -3*r, -f + l = -2*r. What is the remainder when f is divided by 10?
9
Calculate the remainder when 9 is divided by (0 - -1)/(-1)*-4.
1
Suppose 7 = -4*v + 35. Let h(g) = -g**3 - g**2 + 2*g**3 - v*g**3 - g. Calculate the remainder when 16 is divided by h(-1).
4
Suppose -2*i = -0*i - 118. Let r = -6 + 8. Suppose 2*t - 46 = -r*o, -3*o - 4*t = -28 - 44. Calculate the remainder when i is divided by o.
19
Suppose -36*a = -34*a - 30. What is the remainder when 58 is divided by a?
13
Let v = -93 - -51. Suppose -w = 2 + 28. Let c = w - v. What is the remainder when 35 is divided by c?
11
Calculate the remainder when (-94 + 1)*((-8)/(-6) - 2) is divided by 16.
14
Let j(f) = 2*f + 4. What is the remainder when 38 is divided by j(2)?
6
Let r(q) = -q**3 - 9*q**2 - q + 10. What is the remainder when 73 is divided by r(-9)?
16
Calculate the remainder when (-2)/(-5) + 366/10 is divided by 1 - 1/((-1)/18).
18
Let a = -25 - -26. What is the remainder when 16 is divided by (18/(-4))/(a/(-2))?
7
Suppose 0*l = l - 3. What is the remainder when 11 is divided by l + 3/6*2?
3
Calculate the remainder when (-10)/(-5) + -6 - -79 is divided by 11.
9
Suppose 5*b + 30 + 10 = 0. Let j = -3 - b. Suppose z = y - 13, -j*y + 2 = -2*z - 63. What is the remainder when 37 is divided by y?
11
Let x(p) = -3*p - 8. Calculate the remainder when 48 is divided by x(-11).
23
Suppose y + 2 - 27 = 0. What is the remainder when y is divided by 14?
11
Let w = -5 - -7. Suppose -3*h + 56 = 2*m, h + w*m = 27 - 11. What is the remainder when 58 is divided by h?
18
Let i = -2 - -1. Let h be (-15 - (i - 0))/(-2). Suppose 2*t - 5 = h. Calculate the remainder when 10 is divided by t.
4
Let o = -59 + 93. Let j be (2 - 2)*1*-1. Suppose -c + j*i + 17 = i, -2*i - 20 = -c. Calculate the remainder when o is divided by c.
16
Suppose -6*z = -11*z + 3*j + 199, -5*z = 3*j - 181. Calculate the remainder when z is divided by 8.
6
Suppose -3*k - k + 968 = 4*o, -4*k + 996 = -3*o. What is the remainder when k is divided by 50?
46
Let j be -172*1 - (-1)/(-1). Let x = j - -294. Suppose -4*o + 4*a + 52 = -2*o, x = 5*o - a. Calculate the remainder when 47 is divided by o.
23
Suppose -4*u + 3*u + 2*n = -12, 5*u - n = 78. Calculate the remainder when 31 is divided by u.
15
Suppose 4*s = 5*v - 68, -4*s - s = 4*v - 38. What is the remainder when 56 is divided by v?
8
Let m(f) = 6*f**2 - 5*f - 3. What is the remainder when m(4) is divided by 19?
16
Let r(n) = n**2 + n + 72. Let j be r(0). Let o = -17 + j. Let q = o - 38. Calculate the remainder when q is divided by 9.
8
Let x = 5 - 0. Suppose x*i = -0*i + 140. What is the remainder when i is divided by 15?
13
Let i(u) = 20*u**2 + 2. What is the remainder when i(-2) is divided by 29?
24
Suppose -2*x + 32 = -0. What is the remainder when 46 is divided by x?
14
Let c(k) = 14*k**2 + 2*k - 1. What is the remainder when 42 is divided by c(1)?
12
Let n(m) be the third derivative of -m**6/40 - m**5/15 - m**4/12 + m**3/6 - m**2. Calculate the remainder when n(-2) is divided by 5.
3
Suppose 0 = -0*u - 3*u + 21. Let o = -1 + u. What is the remainder when 21 is divided by o?
3
Let w(o) = 2*o**2 + 14*o - 33. Calculate the remainder when w(-14) is divi