*g**2 + 3*g + 1. Calculate the remainder when c(-4) is divided by 8.
5
What is the remainder when ((2*-2)/8)/((-1)/46) is divided by 16?
7
Suppose -12 = -2*p + 26. Let a be 0 + (-78)/(-3) - -2. Suppose 0*c = -4*c + a. Calculate the remainder when p is divided by c.
5
Let h be 345/39 + 8/52. Suppose 0 = -q - 3 + h. Let t(o) = -8*o**3 + o**2. Calculate the remainder when t(-1) is divided by q.
3
Suppose 5*s - 4*s = -3*j + 12, -15 = -3*j - 2*s. Let g(p) = p + 4. What is the remainder when g(3) is divided by j?
1
Let z = 221 + -88. Calculate the remainder when z is divided by 45.
43
Let c be 5 - (-1 + (1 - -1)). Suppose c*p - 201 = p. Suppose -p = -5*w + 18. Calculate the remainder when w is divided by 6.
5
Let d = -61 - -126. Suppose 0 = -5*t + d. Calculate the remainder when 23 is divided by t.
10
Let a = -25 - -37. Suppose -5*z = -331 + 101. What is the remainder when z is divided by a?
10
Let r = 30 - 20. Calculate the remainder when 79 is divided by r.
9
Let c(f) = f. Let t be c(0). Suppose -i + t*q = -3*q - 22, 3*q = -2*i + 89. Calculate the remainder when i is divided by 13.
11
Suppose -5*w + 86 = -v, -2*v - 2*v = -2*w + 20. What is the remainder when 35 is divided by w?
17
Suppose -f = -1 - 1. Calculate the remainder when (f - 1)*(-64)/(-8) is divided by 3.
2
Let n(m) = m**2 + 4*m - 8. Let z = -17 - -34. Suppose 18 = -5*s - z. What is the remainder when 25 is divided by n(s)?
12
Suppose -6 = -2*m + m. What is the remainder when 11 is divided by (m/5)/(9/30)?
3
Let n = 6 + 16. Let c = n + -15. Suppose 0 = -0*k - 2*k + 4*f + 18, f = -3. Calculate the remainder when c is divided by k.
1
Suppose -62 = -4*s + 50. Calculate the remainder when s is divided by (8/20)/((-4)/(-100)).
8
Suppose 341 = 4*m + 5*u, 318 = 5*m + u - 82. Let o = m + -47. Let a(d) = d**3 + 6*d**2 + 4*d + 6. Calculate the remainder when o is divided by a(-5).
10
Let q = -4 - -15. Let z(g) = 8*g**2 - 5*g - 11. Let c(l) = 7*l**2 - 5*l - 10. Let t(j) = 7*c(j) - 6*z(j). What is the remainder when t(-3) is divided by q?
9
Let q = 2 + -1. Suppose 0 = y - 15 + q. Let p = 0 - -8. Calculate the remainder when y is divided by p.
6
Suppose -7*i + 79 + 5 = 0. Calculate the remainder when 68 is divided by i.
8
Suppose 0*r - 35 = -r. Calculate the remainder when r is divided by 9.
8
Let b(k) = 2*k**2 + 3*k + 2. Calculate the remainder when b(4) is divided by (-4)/(-4)*13 + 3.
14
Suppose -2*n - 125 = -7*n. What is the remainder when 120 is divided by n?
20
Let d = 8 - 52. Let a = d + 91. What is the remainder when a is divided by 12?
11
Suppose -z + 2*i + 9 = 0, -5 = -2*z + 5*i + 10. What is the remainder when 41 is divided by z?
11
Let l = -2 - 2. Let y = l + 6. Suppose -4*t = -5*p - 27 - 85, -p + 70 = y*t. What is the remainder when t is divided by 12?
9
Let i(m) = m**2 + 4*m + 8. Suppose -y + 0*y = -77. Calculate the remainder when y is divided by i(-6).
17
Suppose -3*v = -5*k - 36, -v + k - 24 = -3*v. Suppose -3*c + v = -12. Suppose -2*m - 5*t + 64 = 0, 2 = -5*t + 22. What is the remainder when m is divided by c?
6
Let d(h) = -h**3 + 8*h**2 + 7*h + 3. What is the remainder when d(8) is divided by (-278)/(-14) + 3/21?
19
Let u(h) = -2*h + 4*h**2 - 16 - 3*h**2 + 0*h. Calculate the remainder when u(7) is divided by ((-6)/3)/((-2)/11).
8
Let h(f) = -f**2 - 2*f + 7. Let z(b) = b**2 - b + 3. Calculate the remainder when h(-3) is divided by z(0).
1
Suppose -119 = -2*j - 4*x + 103, 5*j = -x + 519. What is the remainder when j is divided by 27?
22
Let o(y) = -y + 17. Calculate the remainder when 34 is divided by o(10).
6
Suppose 4*y + 5*t = -0*t - 4, 24 = 5*y - t. Suppose 2 = -4*r - 2, 0 = -2*o - y*r + 22. Calculate the remainder when 23 is divided by o.
10
Let n(l) = l + 1. Suppose -5*r + 19 = 3*s, 7*r - 16 = 2*r - 2*s. Suppose 3*j = -f + 11, 3*f = r*j - 2*f - 13. What is the remainder when 9 is divided by n(j)?
4
Let g(l) = 4*l**3 - 3*l**3 - 2*l - 2 + 3*l**2 + 0*l**2. Suppose -w = -4*w - 6. Calculate the remainder when g(w) is divided by 4.
2
Calculate the remainder when ((-80)/12)/((-3)/18) is divided by 11.
7
Let k be 15/10 - 1/2. Suppose 2*h - 13 = k. What is the remainder when 13 is divided by h?
6
Let v(k) = k**3 - k**2. Let z(i) = -5*i**3 + 11*i**2 - 11*i - 8. Let x(f) = -6*v(f) - z(f). Calculate the remainder when x(-7) is divided by 8.
5
Let q be (-48)/(-22) - (-18)/(-99). Suppose q*h = 3*v - 27, 5*v + 0*h + 4*h = 45. Calculate the remainder when v is divided by 5.
4
Let j = -15 - -26. What is the remainder when j is divided by (-6)/(-2) - (0 - 1)?
3
Suppose -3*d - 102 = -4*x - x, -2*x + 5*d + 56 = 0. Let c = 3 - -14. What is the remainder when c is divided by (x/10)/(2/10)?
8
Suppose 5*v - 108 = -33. Calculate the remainder when 25 is divided by v.
10
Let l(o) = 2*o**2 - 3*o + 3. Let s be l(2). Suppose 3*u = s*p + 32, 0 = 4*u + u + p - 16. Calculate the remainder when (-12)/(-15)*(-45)/(-6) is divided by u.
2
Let o = 37 + -12. Calculate the remainder when 44 is divided by o.
19
Suppose 3*w = 24 + 81. Suppose 5*m = -2*x + 41 - 3, -5*x = -2*m - 37. What is the remainder when w is divided by x?
8
Suppose -2*j - 7*l = -2*l, 4*l = -3*j + 7. Suppose -2*h + 5 = 2*i - i, 2*h - i - 11 = 0. Calculate the remainder when j is divided by h.
1
Calculate the remainder when 29 is divided by (21 - (2 + 1))/2.
2
Let z = 31 - 27. Calculate the remainder when 14 is divided by z.
2
Let u = 243 - 105. Calculate the remainder when u is divided by 47.
44
Let q be (11 - -2)/(-3 - -4). Let u = -1 + q. Suppose -2*d - 44 = -112. What is the remainder when d is divided by u?
10
Suppose -5*x - 3*d = -149, 0 = x - 0*x - 2*d - 22. What is the remainder when x is divided by 0 - (-12 + 6/3)?
8
Let q(v) be the third derivative of v**5/30 + v**4/12 - 2*v**3/3 - 2*v**2. What is the remainder when ((-406)/35)/((-2)/10) is divided by q(-4)?
18
Suppose -k - 7 = -2*k. Suppose -2*a + 5*w + k = 0, 0*w = -2*w - 2. Suppose -4 = -2*g - 2*g. What is the remainder when a is divided by g?
0
Let a(k) = -7*k + 2. What is the remainder when a(-1) is divided by 6?
3
Suppose 0 = s + n + 11, 0*s + 3*n - 79 = 5*s. What is the remainder when 11 is divided by (0 - (-12)/s)*-7?
5
Suppose -4*i + 313 = 5*c - 2*i, c = -3*i + 60. Suppose 0*f + 3*f = c. What is the remainder when (-1*122)/(3 + -5) is divided by f?
19
Let g(j) = -6*j. Let p be g(-7). Let o = p + -21. Calculate the remainder when o is divided by 8.
5
Let c = 9 + -7. Suppose 3*q + c*q - 235 = 0. Suppose 15 + 17 = 2*m. What is the remainder when q is divided by m?
15
Let o(k) = k**3 + 4*k**2 + 2*k. Suppose -1 = 5*v + 14. Let a be o(v). Suppose 3*j = s - 5*s - 10, -3*j = a*s + 6. What is the remainder when 4 is divided by j?
0
Let k = 6 - 39. Let d be k/(-4 - (-4 - -1)). Let o = 70 - d. Calculate the remainder when o is divided by 13.
11
Suppose 0 = -a + 40 - 2. Calculate the remainder when a is divided by 21.
17
Suppose 7*i = 6*i + 24. Let r(u) = u**2 - u + 1. Let v be 4 + (1 - (-1 + 2)). What is the remainder when i is divided by r(v)?
11
Suppose 21 = 6*l - 63. Let c = 166 + -99. What is the remainder when c is divided by l?
11
Let b(s) = 2*s**3 + 4*s**2 - 2*s - 4. Let a be b(3). Suppose 0 = 4*m + m - a. What is the remainder when 6 is divided by m/(-10)*(-10)/4?
2
Let a = 43 - 20. Calculate the remainder when a is divided by 6.
5
Suppose 0 = -5*t - 4*b + 21, -6 = -4*t - 5*b + 9. Let q(o) be the second derivative of o**3/3 + o**2/2 - o. What is the remainder when 31 is divided by q(t)?
9
Suppose 2*o = 20 + 6. Calculate the remainder when o is divided by 7.
6
Let q = 24 + -13. Let m(s) = -s**3 + 8*s**2 + 6*s - 1. Let n be m(6). Suppose 11 - n = -3*v. Calculate the remainder when v is divided by q.
10
Let f be (5 - 3/3) + -1. Suppose 42 = 3*n + f. Let a = n - 4. Calculate the remainder when 26 is divided by a.
8
Let b(j) = 7*j**2 - 1. Let c be b(-1). Let k(q) = q**3 - 5*q**2 - 5*q + 2. What is the remainder when 47 is divided by k(c)?
7
Let f(r) = r + 39. Calculate the remainder when 134 is divided by f(-12).
26
Let v = -13 - -27. Suppose 3*h = -2 + v. Suppose 0 = 2*z - 9 - 11. Calculate the remainder when z is divided by h.
2
Suppose -8*q + 11*q - 51 = 0. Calculate the remainder when q is divided by 8 + 4 + 4/(-2).
7
Let d(y) = 103*y**2 - 1. Calculate the remainder when d(1) is d