3.
20
Suppose 0 = -4*n + 20, -p - 7 = -2*p + 5*n. Let s(a) = -5*a - 89. What is the remainder when p is divided by s(-20)?
10
Let g(v) = v - 5. Let f be g(6). Suppose 0 = -2*a + f + 3. Calculate the remainder when (35/(-2))/((-1)/a) is divided by 12.
11
Let n = 3 + -1. Suppose 0 = y + 3*v - 17, y = n*y + 5*v - 21. What is the remainder when y is divided by 6?
5
Suppose 0 = 5*s - 5, -5*s = 4*o + 89 + 26. Let v = 14 - o. Let p = 52 + -37. What is the remainder when v is divided by p?
14
Let c(p) = 3*p - 5*p - 3*p**2 + 4*p**2 - 8. Suppose 0*o + t - 28 = -o, 2*t = -o + 25. What is the remainder when o is divided by c(6)?
15
Calculate the remainder when 26 is divided by 14 + 0/4 + 0.
12
What is the remainder when -4 + (2 - -38) + -3 is divided by 18?
15
Let u = 8 - 5. What is the remainder when (-3 - 19)/(-2)*u is divided by 7?
5
Let l(w) = -3*w + 6. Let u be l(-10). Suppose 2*k = 5*k - u. What is the remainder when 21 is divided by k?
9
Let d(x) = -2*x**3 + 4*x**2 - 6*x + 3. Let g(n) = -n + 1. Let i(s) = -d(s) - g(s). Calculate the remainder when i(3) is divided by 19.
16
Suppose 5*l + 52 = 367. Suppose l = 4*d + 19. Calculate the remainder when 41 is divided by d.
8
Suppose 4*r = 3*r + 68. What is the remainder when r is divided by 23?
22
Let g be (-1 + -1)/((-12)/54). Suppose 19 = 2*h - g. Calculate the remainder when 106/4 + 3/6 is divided by h.
13
Suppose s = -s + 6. Suppose s*g - 2*g = 23. Calculate the remainder when g is divided by 8.
7
Let g(u) = 11*u - 10. Calculate the remainder when 101 is divided by g(4).
33
Let m be ((-64)/(-4))/(-4)*-3. What is the remainder when (-2)/(2 + (-28)/m) is divided by 3?
0
Let s(w) = w**2 - w + 9. Let q be 2/6 - (-1)/(-3). Calculate the remainder when s(q) is divided by 5.
4
Let k(p) = -1 + 0 + 0 + 19*p. What is the remainder when k(1) is divided by (2 - -7) + 4/20*5?
8
Let b = -28 - -48. Let y = 8 + -3. Suppose 0 = y*a - b - 30. What is the remainder when 29 is divided by a?
9
Suppose -5*z - 2 = 3. What is the remainder when (26/(-6) + 3)/(2/(-33)) is divided by -2*(4 - 0)*z?
6
Let s(g) = -25*g. Let i(w) = -w**2 + 7*w + 11. Let k be i(8). Suppose k*c + 2*c - 65 = 0. What is the remainder when s(-1) is divided by c?
12
Suppose 0 = 28*u - 25*u - 18. Calculate the remainder when 9 is divided by u.
3
Let d = -99 + 140. What is the remainder when 243 is divided by d?
38
Let l(w) = -w**2 - 5*w + 12. Let r(j) = j. Let t(p) = l(p) + 5*r(p). What is the remainder when (6 + -1)*(-44)/(-10) is divided by t(0)?
10
Let d = 45 + -27. Calculate the remainder when d is divided by 4.
2
Let y = 23 + -7. Calculate the remainder when y is divided by 10.
6
Let j(l) = l**3 + l + 26. Let c be j(0). Let i = c - 21. Suppose -3*q - x = -2, -4*x = -2 + 18. What is the remainder when i is divided by q?
1
Let o(n) = -n**3 - 12*n**2 + 10*n - 29. What is the remainder when 17 is divided by o(-13)?
7
Suppose -65 = -0*l - 5*l. What is the remainder when 51 is divided by l?
12
Suppose 2*g + x - 1 = 0, -2*x + 10 = -4*x. What is the remainder when 7 is divided by g?
1
Suppose -144 = -12*v + 6*v. Suppose w + 3*g + 1 + 16 = 0, 15 = 3*g. Let h = w + 45. What is the remainder when v is divided by h?
11
Suppose 5*c - 5*j = -25, -3*c = 2*j - 1 + 6. What is the remainder when (-22 - 1)/(2 + c) is divided by (-3)/(-9) - (-92)/12?
7
Let k(n) = -3*n + 4. Calculate the remainder when k(-4) is divided by 10.
6
Suppose 7*c + u - 72 = 3*c, 2*c - u = 30. What is the remainder when c is divided by 9?
8
Let h = -11 + 24. Calculate the remainder when 37 + 3 + -2 + -1 is divided by h.
11
Calculate the remainder when (-2)/7 - (-1329)/21 is divided by 32.
31
Let p be 6/(-8) + 1325/(-20). Let g = -10 - p. What is the remainder when g is divided by 30?
27
Let l = 5 - 0. Calculate the remainder when 12 is divided by l - (-2 + (-1 - -1)).
5
Calculate the remainder when 1758/36 + (-1)/(-6) is divided by 17.
15
Let u be 356/(-12) + (-1)/3. What is the remainder when 34 is divided by 30/(-4)*48/u?
10
Let m(a) = -a**3 + 3*a**2 - 3*a. Let b be m(2). Calculate the remainder when 49 is divided by 1 - b - 2 - -16.
15
Suppose 19*a = 14*a + 80. Suppose l + 4*z = -4*l + 6, -4*z - 12 = -4*l. Suppose 0 = -l*p + 26 + 66. What is the remainder when p is divided by a?
14
Suppose -2*z + 11 = x, -4*x + 9*x + 4*z - 43 = 0. Let u be (-1)/(1/(-13)) + -2. Let n = -8 + u. What is the remainder when x is divided by n?
1
Calculate the remainder when 26 is divided by 3*((-28)/6)/(-2).
5
Suppose 8*r - 5*r - 27 = 0. Suppose -15 = -w - w + a, w - 10 = -2*a. Let m = r + w. Calculate the remainder when 32 is divided by m.
15
Let w(m) = -m**3 + 8*m**2 - 4*m - 11. What is the remainder when 36 is divided by w(7)?
6
Let s(m) = -4*m**3 + 2*m**2 - 1. Let l be s(-2). Suppose 12*w - 11*w = l. What is the remainder when w is divided by 10?
9
Calculate the remainder when 1 - -61 - (-1 - -5) is divided by 20.
18
Let j = 28 - 27. What is the remainder when j is divided by 1?
0
Suppose -3*z = -2*o + 4, -o + 28 = 2*o + z. What is the remainder when 10 is divided by o?
2
Suppose -5*r - 4*l = -74, -5*r = 5*l - 13 - 62. Calculate the remainder when r is divided by 6.
2
Suppose -32 = -3*l - 5*t, -t - 4*t = -20. Suppose 5*p - 20 = 10. Calculate the remainder when p is divided by l.
2
Let f = -55 + 174. Suppose 4*n + f = 6*n + a, -2*a = -2*n + 104. What is the remainder when n is divided by 20?
17
Suppose 0*h - 2*h = -10. What is the remainder when -2 + 4 - (-14)/2 is divided by h?
4
Let d be ((-39)/(-6))/((-1)/(-2)). Suppose -v + 4 - 7 = 2*r, -3*r = 4*v - d. Suppose -j = -6*j + 20. Calculate the remainder when v is divided by j.
3
Let o be (-3)/((-9)/(-2))*-3. Suppose 0 = 5*x + 5*s - 0*s - 25, -o*s = -x + 14. Suppose -x = -d - 1. What is the remainder when d is divided by 4?
3
Let d be (3/2)/((-15)/(-200)). Suppose 21 + d = p. Calculate the remainder when p is divided by 11.
8
Suppose b + 10 = -2*h, -b - 4*h = 3*b + 28. Let a(y) = -2*y - 5. Calculate the remainder when a(b) is divided by 1.
0
Let v = 40 - 4. What is the remainder when 177 is divided by v?
33
Let l(x) = 4*x**2 - 4*x - 1. What is the remainder when 67 is divided by l(3)?
21
Let c(a) = -8 - 5*a - 8*a + 12*a. What is the remainder when 5 is divided by c(-11)?
2
Let d(u) = -2*u - 2. Let g be d(-3). Suppose 1 = -t - g*a, 3*t = 4*a + a + 14. Suppose h + t - 8 = 0. Calculate the remainder when 8 is divided by h.
3
What is the remainder when ((-4)/3)/((-7)/399) is divided by 17?
8
Suppose -6*f = -4*f + d - 82, -f + 2*d = -41. Let p(b) = b**2 + 5*b + 9. Calculate the remainder when f is divided by p(-6).
11
Let q = -8 + 2. Let t = q - -22. Calculate the remainder when 47 is divided by t.
15
Let m be (-71)/3 + (-4)/12. Let h = 54 + m. Suppose -h = -3*i - 5*x, -i - 5*x + 0*x = -20. What is the remainder when i is divided by 2?
1
Let z be (-33)/(-9) - 4/(-12). Suppose p + 4*y - 306 = -4*p, 0 = 5*p - z*y - 274. Suppose 2*x + p = 154. What is the remainder when x is divided by 25?
23
Suppose -1 - 24 = -5*s. What is the remainder when s is divided by (-2)/3 + (-28)/(-6)?
1
Let u(b) = 3*b - 15. Let f be -25*(-1)/((-20)/(-8)). What is the remainder when u(f) is divided by 4?
3
Let i be (-2 + 4)*(-3)/(-3). Let f be 0 + (-8)/i + -1. Let n(m) = -m**2 - 5*m + 7. What is the remainder when 13 is divided by n(f)?
6
Let o be (36/(-15))/((-6)/20). Let m be (10/3)/(o/(-12)). Let a = 21 + m. Calculate the remainder when a is divided by 9.
7
Let d = 150 - 127. Calculate the remainder when d is divided by 8.
7
Suppose 3*g + g + 112 = 0. Let j = g + 46. What is the remainder when 69 is divided by j?
15
Let b(s) = -s**2 - 6*s - 4. Let o be b(-3). Suppose 4*v = 6*t - 2*t + 104, o*v = 3*t + 124. Suppose 9 + 3 = m. Calculate the remainder when v is divided by m.
11
Let r(j) = j - 6. Let s be 2*(15/2)/5. Suppose -s*o - 2 = -8. What is the remainder when r(10) is divided by o?
0
Suppose -3*x + 71 + 8 = -c, -x - 5*c + 5 = 0. Calculate the remainder when 74 is divided by x.
24
Suppose 82 = 4*d + 26. What is the remainder when 50 is divided by d?
8
Let s = 55 + -15. Let a(r) = -15*r**3 + r. Calculate the remainder when s is divided by a(-1).
12
Suppose 3*o + 8 = 2. Let p = o - -18. What is the remainder when ((-2)/2 - 0) + 32 is divided by p?
15
Suppose 10 = 5*v - 5. Suppose v*t -