 Let i(t) = 3*t**3 + 3*t**2 + 2*t - 5. Let u(f) = 5*i(f) + 4*p(f). What is the remainder when 5 is divided by u(4)?
2
Let g = 45 + 5. What is the remainder when g is divided by 26?
24
Suppose 0 = -0*r - r + 6. Suppose -2*z + 4*z + 4*f - 26 = 0, -4*f - 58 = -2*z. Let v = -4 + z. What is the remainder when v is divided by r?
5
Suppose 4*q = -a + 140, 0 = 5*q - 0*a - 3*a - 192. Let j = 281 + -261. What is the remainder when q is divided by j?
16
Suppose 0 = -0*c - 4*c - 4. Let g = 3 + c. What is the remainder when 4 is divided by g?
0
Suppose -4*t + 22 = -6*t. Let z = t + 24. Suppose -5*n - 23 = -203. Calculate the remainder when n is divided by z.
10
Let f = 149 + -75. Calculate the remainder when f is divided by 20.
14
What is the remainder when (1002/(-9))/((-2)/3) is divided by 42?
41
Suppose 3*p - 4*i - 112 = 0, -3*p + 8*i = 3*i - 110. Let j = 86 - p. What is the remainder when j is divided by 16?
14
Let d(y) = -y**3 + 11*y**2 + 27*y + 4. What is the remainder when 65 is divided by d(13)?
14
Let p be (-5)/2*4/(-5). Suppose -2*z = -p*u - 28, -5*z - 2*u = 2*u - 97. Calculate the remainder when 32 is divided by z.
15
Let y = -5 + 15. Suppose l - y = -l. What is the remainder when 19 is divided by l?
4
Suppose 4*z + 37 = 5*v, 3*v - 5*v = -2*z - 16. Suppose -45 = -17*a + 12*a. What is the remainder when a is divided by v?
4
Let c(f) = f**3 - 3*f**2 - 2*f. Let x be c(4). Let h(j) = j**2 + 5*j + 6. Let b be h(-4). Suppose -n + b*n = x. Calculate the remainder when n is divided by 3.
2
Let i = 27 + -10. Let c(z) = z**2 - 6*z + 1. Let d be c(5). Calculate the remainder when i is divided by (-1)/(-4) - 35/d.
8
Let c = -108 + 148. What is the remainder when c is divided by 15?
10
What is the remainder when (-1)/5 - 3339/(-45) is divided by 19?
17
Let i be -4*-4*(-1)/8. Calculate the remainder when 13 is divided by (-2)/(i - (-9)/6).
1
Let k = -81 + 89. Calculate the remainder when 12 is divided by k.
4
Let c = -269 + 567. Calculate the remainder when c is divided by 50.
48
Let d = -8 + 6. What is the remainder when 3 - -22*(-4)/d is divided by 16?
15
Let y(w) = 3*w**2 - w. Suppose -q = -0*q - 10. Calculate the remainder when q is divided by y(-1).
2
Let v = 5 + -5. Suppose v = -o - f + 49 - 14, o - 5*f - 23 = 0. What is the remainder when o is divided by 17?
16
Suppose -4*m - c = -7, 5*m + 3*c - 11 = 4*c. Suppose -42 = -0*h - m*h. What is the remainder when h is divided by 6?
3
Calculate the remainder when 142 is divided by (-2 + 0 + 0)*13/(-2).
12
What is the remainder when 16 is divided by (10/(-8))/((-9)/36)?
1
Let v(b) = 14 + b**2 + b + 0*b + 0*b. Let t = 139 + -131. Calculate the remainder when v(0) is divided by t.
6
Suppose r + r + 25 = y, -43 = -2*y - 3*r. Calculate the remainder when 158 is divided by y.
20
Suppose 2*x - 38 = x. Let r = -170 + 94. Calculate the remainder when x is divided by r/(-6) + 1/3.
12
Let m(k) = 3*k**2 + 7*k + 1. Let o(z) = -z**2 - z + 1. Let v(q) = -m(q) - 4*o(q). Let x = 82 - 45. What is the remainder when x is divided by v(6)?
11
Let k = -10 + 20. Suppose -11 = -2*q - 3. Calculate the remainder when k is divided by q.
2
Let p(y) = y**3 + 3*y**2 + 3*y + 2. Let x be p(-4). Let h = -12 - x. Suppose 44*a - 46*a + 10 = 0. Calculate the remainder when h is divided by a.
4
Let p be ((-9)/(-3) - -1) + 0. Suppose 0 = -5*i + p*u + 96 - 19, -3*i = 2*u - 33. Calculate the remainder when i is divided by 7.
6
Let w = 104 - 96. What is the remainder when 30 is divided by w?
6
Let q(z) = -z**2 - 7*z - 8. Let v be q(-6). What is the remainder when (-137)/(-4) - 2/8 is divided by v/9 + (-220)/(-18)?
10
Suppose 2*d - 4 = -2*d. Let h be ((d - -5)/(-2))/(-1). What is the remainder when (h - (1 - 0)) + 2 is divided by 3?
1
Let u(w) = -11*w + 7. Calculate the remainder when (8/6)/((-1)/(-15)) is divided by u(0).
6
Let q(h) = h**2 + 4*h + 6. Let a be 1/(2*2/(-20)). Let v(b) = -b**3 + 14*b**2 + 18*b - 14. What is the remainder when v(15) is divided by q(a)?
9
Suppose 10 = -8*t + 3*t. Let g be t*1 + 16/4. Suppose 5*q - 23 = r + 2, 0 = 2*q - g*r - 18. What is the remainder when 7 is divided by q?
3
Calculate the remainder when (-8)/(-20) + (-452)/(-20) is divided by 13.
10
Suppose 13*s = 12*s + 8. What is the remainder when 31 is divided by s?
7
Suppose 0 = -0*z + 4*z - 52. Suppose u - 2*u + z = 0. What is the remainder when (-2)/7 + 268/7 is divided by u?
12
Suppose 38 + 30 = 4*r. Calculate the remainder when r is divided by (1 - -6)/(2/2).
3
Suppose -w + 3 = 1. Suppose -w*i + 8 = -0*i. Suppose z = 2*z - i. What is the remainder when z is divided by 2?
0
Let w be (-149)/(-5) - (-2)/10. Suppose w = 3*s - 2*s. Calculate the remainder when s is divided by -2 + 15 + -2 - 0.
8
Let q = 36 + -24. Let m = -29 - -52. Calculate the remainder when m is divided by q.
11
Let q = 5 - 2. Suppose h = 3*h - 8. Calculate the remainder when h is divided by q.
1
Let i = 7 - -27. What is the remainder when i is divided by 9?
7
Calculate the remainder when 101 is divided by (4 + 6/(-1))*-13.
23
Suppose -5*p + 27 = -58. Let h = p - -5. What is the remainder when h is divided by ((-4)/3)/(2/(-12))?
6
Let b(g) = 1. Let t(r) = -r**2 - r - 3. Let x(s) = -4*b(s) - t(s). Calculate the remainder when 30*(24/(-9))/(-4) is divided by x(-4).
9
Suppose -3*j + 0*j - 4*o + 72 = 0, 4*o = 12. What is the remainder when j is divided by 7?
6
Let j be 6/1*(-1 - 1). Calculate the remainder when (19 - -1) + 0 + (-39 - -36) is divided by (-2)/3 + (-116)/j.
8
Let s(z) be the first derivative of z**3/3 - z**2/2 - 7*z - 3. Calculate the remainder when s(-5) is divided by 13.
10
Suppose -1 - 20 = -b + 2*d, 0 = -4*b + 3*d + 79. What is the remainder when 75 is divided by b?
18
Suppose h + 15 = -0*p + 4*p, 2*h = -2*p. Suppose 0 = -p*r - 3*s - 393, 3*r - 5*s - 32 = -433. What is the remainder when -2 + 0 - r/2 is divided by 22?
20
Suppose -19*z - 115 = -24*z. Calculate the remainder when z is divided by 6.
5
Let d(f) = -f**3 + 9*f**2 - 8*f + 12. Suppose -4*r - u - u = -130, 0 = 4*u + 20. What is the remainder when r is divided by d(8)?
11
Suppose -5*f = -1 + 11. Calculate the remainder when 10 is divided by 3 - 1 - (f + -2).
4
Let a(b) = b**2 - 5*b - 3. Calculate the remainder when 31 is divided by a(7).
9
Let y(z) = z**3 + 6*z**2 + 4*z + 2. Let g be y(-4). Let p = 9 + g. What is the remainder when p is divided by 10?
7
Suppose 9*p = 118 + 152. Calculate the remainder when p is divided by 9.
3
Let l(o) = 3*o - 2. Let x be l(6). Let f = 1 + x. Suppose 2*z = -2*z + 128. Calculate the remainder when z is divided by f.
15
Calculate the remainder when 27 is divided by (-3)/(-1) - (24/(-2) - -5).
7
Suppose -5*o - w + 22 = 0, 0 = -4*o - w - w + 14. Suppose 66 = o*a - 2*a. What is the remainder when 42 is divided by a?
20
Suppose 0 = 2*c + 2*c - 5*z - 172, -228 = -5*c + 3*z. Suppose -26 = -2*p + c. What is the remainder when p is divided by 8?
5
Let z(f) = 20*f + 51. Calculate the remainder when z(3) is divided by 15.
6
Let m(g) = -g**3 + 4*g**2 + 4*g + 4. What is the remainder when m(-4) is divided by 20?
16
Let a = -11 - -9. Calculate the remainder when 53 is divided by ((-42)/(-15))/(a/(-10)).
11
Suppose 631 = -3*x + 217. Let o = 212 + x. What is the remainder when o is divided by 15?
14
Let m(v) = v**2 - 2*v + 2. Let d(w) = -w**3 - 3*w**2 + 7*w + 5. Let h be d(-4). Let a = 13 + h. What is the remainder when m(4) is divided by a?
4
Suppose -4*m = -6*h + 2*h - 372, -5*h = 5*m - 465. Let q = -51 + m. Suppose -2*p = -2*b - 34, b + 48 - 9 = 2*p. What is the remainder when q is divided by p?
20
Let c be (-6)/((-6)/(-3)) - -110. Calculate the remainder when c + -3 - (3 + -1) is divided by 26.
24
Let b be 8*2/4 + -2. Suppose -b*h - 34 = -0*h. Let s = h - -33. What is the remainder when s is divided by 6?
4
Let k = -7 - -7. Suppose 5*j - 2*t - 79 = k, 23 + 19 = 3*j - 3*t. Let g(b) = b**2 - b + 8. What is the remainder when g(-6) is divided by j?
16
Let u(c) = 6*c**2 - 3*c - 10. Let g be u(-6). Suppose 0*b = -4*b + g. Calculate the remainder when b is divided by 19.
18
Suppose -a - 2*z = -13, a + z + 2 - 10 = 0. Calculate the remainder when 29 is divided by a.
2
Calculate the remainder when 16 is divided by 2/(-9) - (-448)/72.
4
Let i(x) = x**3 + x**2 + 25. Let m be i(0). Let c(j) = -7*j - 9. Let k be