y 4.
1
Suppose 16*s - 76 = 12*s. Let t = 8 - 3. What is the remainder when s is divided by t?
4
Suppose 0 = 3*x + 4*m - 15, 2*x + 10*m - 10 = 5*m. What is the remainder when 12 is divided by x?
2
Let y(a) be the second derivative of -5/2*a**2 + 0 - a**3 - 4*a. Calculate the remainder when y(-7) is divided by 13.
11
Let v = 17 + -18. Let m = 22 + v. Calculate the remainder when 83 is divided by m.
20
Suppose -294 = -0*v - 7*v. Calculate the remainder when v is divided by 25.
17
Suppose 20*q + 16 = 21*q. What is the remainder when 19 is divided by q?
3
Let d(f) = -8*f. Let u be d(1). Let k = -5 - u. Calculate the remainder when 9 is divided by k.
0
Suppose 3*j - 6 = 3*m, -3*j + 5*m = -4*j + 32. What is the remainder when 58/4 - (21/6 + -2) is divided by j?
6
Let y(v) = v**3 + 9*v**2 + 6*v + 7. What is the remainder when y(-8) is divided by 9?
5
Let p = 3 - -8. Let t(h) = 42*h**3 - 1. Calculate the remainder when t(1) is divided by p.
8
Let q(j) = 17 - 2*j**2 + 3*j**2 + 5*j - 6*j. Calculate the remainder when q(0) is divided by 9.
8
Let h = 63 - 39. Calculate the remainder when h is divided by 9.
6
Let j = -31 + 54. Calculate the remainder when 34 is divided by j.
11
Let n = 19 - -5. What is the remainder when 165 is divided by n?
21
Suppose 34 = -5*t - 3*z, -t - 1 = 2*z + 3. Let y(l) = l**2 + 7*l - 6. Let x be y(t). What is the remainder when 21 is divided by 22/5*5/x?
10
Let m(t) = t**2 - 10*t - 5. Let c be m(11). Let u(a) = a**3 - 4*a**2 + 4*a - 4. Let s be u(3). What is the remainder when c - s*(-3)/1 is divided by 1?
0
Let d = 8 + -3. Let y = -2 + d. Suppose y*i - 2 = 2*c - 33, -15 = 5*i. What is the remainder when 32 is divided by c?
10
Let y(q) = q**3 + 8*q**2 + 5*q + 6. Let i be y(-7). Let n = 22 + 20. Let r = n - i. Calculate the remainder when 42 is divided by r.
20
Let q(o) be the third derivative of -o**6/120 - o**5/10 - o**4/6 + 3*o**3/2 + 8*o**2. Calculate the remainder when 5 is divided by q(-5).
1
Suppose 4*a = -2*s - 44, 0*a + 2*s = 4*a + 28. Let b = 23 - a. What is the remainder when b is divided by 11?
10
Let u(q) = 4*q - q - 2 - 5*q. Let t be u(-3). Suppose -35 = -3*f + t. Calculate the remainder when f is divided by 7.
6
Let h = 224 + -188. What is the remainder when h is divided by 1/(((-4)/26)/(-2))?
10
Let z = 19 - 10. Suppose -5*k + 85 = -4*f, 0 = 2*f - 1 - z. What is the remainder when k is divided by 11?
10
Let k(s) = 3*s**3 - 2*s + 1. Let x be k(-2). Let w = 38 + x. Calculate the remainder when w is divided by 7.
5
Let k be (27 + 0)/((-9)/24). Let n = -40 - k. Calculate the remainder when n is divided by 17.
15
Suppose 4*n - 2 = 14. Suppose d - 52 = -3*d + 4*f, 2*f = -2*d + 14. What is the remainder when d is divided by n?
2
Suppose -f + 130 + 3 = 0. What is the remainder when f is divided by 34?
31
Let u(t) = 14*t**2 + 1. Calculate the remainder when 41 is divided by u(1).
11
Suppose 4*q - 2*q = -26. Let v = 6 + q. What is the remainder when 32 is divided by (-75)/(-7) - 2/v?
10
Suppose -w - l + 5*l + 10 = 0, -w + 10 = -3*l. What is the remainder when 38 is divided by w?
8
Let c = 8 - 6. Suppose 0 = c*s + 20 + 12. Let x = -8 - s. Calculate the remainder when 22 is divided by x.
6
Suppose -3*n + 15 = -0*n. Let o(b) = 3*b + 6. Let z be o(n). Let f = z + -5. Calculate the remainder when 29 is divided by f.
13
Suppose 25 = 2*i - i - 5*w, 0 = 5*i + 3*w - 153. Calculate the remainder when i is divided by 11.
8
Let q(z) = -z**3 - 2*z**2 - 3*z + 3. Calculate the remainder when q(-5) is divided by 19.
17
Let b = -51 + 74. What is the remainder when b is divided by 8?
7
Let t = 6 + 21. Calculate the remainder when 51 is divided by t.
24
Let w be (1 - 0)*(71 + -1). Suppose 5*m = r - 0*m - 37, -5*r + w = -2*m. What is the remainder when 33 is divided by r?
9
Let g be ((-30)/25)/((-6)/140). Let t = 83 - g. Let l = t - 37. What is the remainder when l is divided by 10?
8
Let r(u) = 1 - 6*u - 1 + 1. Let x be r(-1). Let h(a) = a**3 - 6*a**2 - 2*a - 3. What is the remainder when h(x) is divided by 17?
15
Let p = 28 + -9. Let v = 33 - p. Calculate the remainder when v is divided by 5.
4
Suppose -4*s + 58 = 3*t - 2*s, -3*t - 4*s = -50. Calculate the remainder when 263 is divided by t.
21
Suppose 141 = v + 2*v. What is the remainder when v is divided by 12?
11
Suppose 35 = 3*t + 2*t. What is the remainder when (-1)/((-2)/(-2 + 40)) is divided by t?
5
Let d(g) be the second derivative of -5*g**3/6 - 3*g**2/2 - 2*g. What is the remainder when d(-9) is divided by 15?
12
Let c = 22 + 0. Calculate the remainder when c is divided by ((-8)/3)/((-4)/18).
10
Suppose 0 = -2*l + 7 + 1. Let k be ((-17)/2)/((-2)/l). Let p = k + -5. Calculate the remainder when 21 is divided by p.
9
Let m(i) = 2 + 2 - i - 1. Suppose z + 2*u = 23, -2*u + 92 = 4*z - 0*u. Calculate the remainder when z is divided by m(-5).
7
Suppose -4*x - 18 = 2*k - 0*x, 0 = 4*k - 3*x - 19. Suppose -3*y = -8*y + 20. What is the remainder when (k + (-10)/6)*-9 is divided by y?
2
Calculate the remainder when 47 is divided by (24/(-18))/((-1)/12).
15
Let v(g) = 2*g**2 + 3*g + 1. Let t be v(-2). Suppose 4*c - 176 = -2*p, -t*p - 2 = -4*p. Calculate the remainder when c is divided by 15.
13
Let h = -103 + 104. Calculate the remainder when 17 is divided by h.
0
Let q(j) = j**2 + 2*j - 10. Suppose -3*x + 6 = -0. Suppose a + i + x = -8, 5*a + 48 = -4*i. Calculate the remainder when q(a) is divided by 20.
18
Suppose 12 = 2*d + d. Suppose -19 = -3*n - 4*z - 4, 0 = -d*z. What is the remainder when 9 is divided by n?
4
Calculate the remainder when 13 - ((-11 - -7) + 0/(-1)) is divided by 13.
4
Suppose -5*p + 5*j - 110 = 0, -4*p + 11 = -2*j + 91. Let k = -16 - p. Calculate the remainder when 6 is divided by k.
0
Let m be -1*(-1 - (-2 + -5)). Calculate the remainder when (-4 - -2)/2*-18 is divided by m/(-39) + (-89)/(-13).
4
Let y(l) be the second derivative of -1/20*l**5 - l + 0 + 11/12*l**4 - 5/2*l**2 - 7/6*l**3. Calculate the remainder when y(10) is divided by 13.
12
Suppose 0 = -4*v - 4*w + 96, -3*v - 14 = -4*v - 3*w. Calculate the remainder when v is divided by (-14)/(-105) + 888/90.
9
Suppose 7*n = 3*n + 96. What is the remainder when n is divided by 13?
11
Let n(a) = -30*a - 7. Calculate the remainder when n(-2) is divided by 6.
5
Let z = -85 - -99. What is the remainder when 82 is divided by z?
12
Let r = -4 + 5. Let u = 3 + -1. What is the remainder when u is divided by r?
0
Suppose 10 = 5*n - 3*y, 3*y + 1 + 3 = 2*n. Suppose n*f - 7*f = -65. Calculate the remainder when 49 is divided by f.
10
Suppose -8*g + 120 = -192. What is the remainder when g is divided by 10?
9
Let o = -53 - -77. Let i(w) = -6*w - 3. What is the remainder when o is divided by i(-2)?
6
Let z(t) = -8*t**3 + 3*t**2 - t - 2. What is the remainder when 25 is divided by z(-1)?
5
Suppose -k + 5*h + 3 = -3, 0 = 3*k - 4*h - 18. Suppose -3*n - k = -6*n. Suppose -n*z + 325 = 3*z. What is the remainder when z is divided by 22?
21
Suppose -38 - 772 = 10*f. Let w = -88 - -32. Let j = w - f. What is the remainder when j is divided by 13?
12
Let w(a) = a**2 + 2*a + 24. What is the remainder when w(-5) is divided by 5?
4
Let v = 83 + 40. Calculate the remainder when v is divided by 31.
30
Calculate the remainder when (2/(-3))/((-1280)/(-645) + -2) is divided by 22.
21
Calculate the remainder when 237 is divided by (-3 - -4 - -29)*(0 - -1).
27
Let g(p) = 87*p + 2. What is the remainder when g(1) is divided by 23?
20
Let f(y) = y**2 + 5*y + 17. What is the remainder when 47 is divided by f(-5)?
13
Suppose 0 = 3*t - 5*l - 50, -2*t + 25 = -0*t + 5*l. Calculate the remainder when 49 is divided by t.
4
Suppose -5*u = -j - 21, -2*u - 2*u = 3*j - 13. Suppose 0 = u*y - 20, y + 0*y - 70 = -5*v. Calculate the remainder when 39 - -2*2/(-4) is divided by v.
12
Let f = -23 + 31. What is the remainder when 0*(-1)/(-1) - -13 is divided by f?
5
Let x(p) = 13*p + 1. What is the remainder when x(3) is divided by (-1)/(-3)*(52 - -11)?
19
Let u be 23 + (-1)/((-2)/(-4)). Suppose -4*s + 2*p = -138, 3*p + u + 6 = s. What is the remainder when s is divided by 19?
17
Suppose 5*x - 89 = -24. What is the remainder when 24 is divided by x?
11
Let u = -44 - -93. Calculate the remainder when u is divided by 13.
10
Let t(f) = -f**2 + 8*f - 2. Let k be t(6). Let v