 when d is divided by p.
3
Suppose 3*j - 8 = c - j, 0 = -5*j. Let y = -9 - c. Let o(i) = 5*i**2 - 2*i - 1. What is the remainder when o(y) is divided by 3?
0
Let v be 2*(-2 + 9/6). Calculate the remainder when 9 is divided by -9*(-2 - v) + -3.
3
Let t = 34 + -36. Suppose -3*k - 2*f + 5*f + 3 = 0, 18 = -2*k - 2*f. Calculate the remainder when (t/k)/(3/222) is divided by 13.
11
What is the remainder when (-1)/(-1) + -4 - -120 is divided by 24?
21
What is the remainder when ((-4)/6)/(28/(-1386)) is divided by 6?
3
Let t(d) = 0 - 2 - 3 - 3*d. What is the remainder when 18 is divided by t(-5)?
8
Calculate the remainder when 37 is divided by 14 - (2 + -4) - -4.
17
Let t(s) = -s + 8. Let n be t(6). Suppose n*w - 6 = -w. What is the remainder when 7 is divided by w?
1
Suppose 25 = 6*o - o. Let c = 41 + -28. Calculate the remainder when c is divided by o.
3
Let l(h) = 2*h - 1. Let v be l(2). Suppose q - 1 = -v. Calculate the remainder when 8 is divided by 10*(1/q)/(-1).
3
Suppose 0*h + 70 = 5*h. Let o = -21 + 68. Suppose 2*t = k - o, -k + 5*t - 13 + 69 = 0. What is the remainder when k is divided by h?
13
Suppose 6*m - 77 - 79 = 0. Calculate the remainder when m is divided by 10.
6
Let w = -1 - -1. Suppose w = -5*d - 0 + 15. Suppose -d*y - 4*m = -y - 96, -2*y - 5*m + 97 = 0. Calculate the remainder when y is divided by 16.
14
Suppose 17 = 2*i - 21. Suppose -6*u + 35 = -u. What is the remainder when i is divided by u?
5
Let w be -2*46 + (-1 - -1). Let q = w + 133. What is the remainder when q is divided by 15?
11
Let a be (1/2)/((-3)/(-18)). Let h be 90/21 - (-4)/(-14). Suppose 4*t = h*k + 96, 6*k = a*k - 9. Calculate the remainder when t is divided by 12.
9
Suppose a + 213 = 4*y - 2*a, -y = -3*a - 42. What is the remainder when y is divided by 20?
17
Suppose 4*l = 4*q - 104, -4*l - 88 - 38 = -5*q. Calculate the remainder when q is divided by 2*4*(-6)/(-4).
10
Let r(t) = -101*t**2 - 3*t - 3. Let o be r(-3). What is the remainder when 4/(-26) + o/(-39) is divided by 13?
10
Let g be 1 - (1 - 4/2). Suppose 4*o + g*c + 16 = 6*c, -4 = -o + 3*c. What is the remainder when (-274)/(-8) + 2/o is divided by 12?
10
Let l be -1 + -2 - (6 - 4). Let s = l + 2. What is the remainder when -2 - (s + 2) - -14 is divided by 7?
6
Let a = 15 - 11. Suppose 0*o = a*o - 104. Calculate the remainder when 76 is divided by o.
24
Let q(u) = 2*u**2 + 10*u + 6. Let o be q(-6). Let z = o + -8. Let b = -8 - -26. Calculate the remainder when b is divided by z.
8
What is the remainder when 43 is divided by (-2)/(-6)*(0 - -33)?
10
Suppose 4*n + 3*z - 21 - 16 = 0, -45 = -4*n + 5*z. Calculate the remainder when 47 is divided by n.
7
Suppose -k + 14 = 3. What is the remainder when k is divided by 7?
4
Let s = 29 + -24. Let w = 52 - 35. What is the remainder when w is divided by s?
2
Let i be 6/9 - 8/12. What is the remainder when (-1)/(i + 4/(-36)) is divided by 6?
3
Suppose 0 = f + 10 - 19. Suppose -4*d = -30 - 26. Calculate the remainder when d is divided by f.
5
Let y(f) = f**2 - 4*f + 4. Let v be y(4). Suppose v*m - 30 = -m. Calculate the remainder when (-27)/18 + 15/(-6)*-9 is divided by m.
3
Suppose 0 = 4*g - 9*g. Suppose 3*u - 33 + 0 = g. Calculate the remainder when u is divided by 6.
5
Suppose 0*i + 3*i = 231. Let w = 112 - i. Calculate the remainder when w is divided by ((-24)/10)/(4/(-30)).
17
What is the remainder when -5*(-1)/((-15)/(-27)) is divided by 4?
1
Let k(o) = o**3 + 7*o**2 - 9*o - 8. Let p be k(-8). Suppose 3*b - 27 = 2*b + 4*v, 4*b - v - 138 = p. What is the remainder when b is divided by 18?
17
Suppose -q + 3*v + 42 = 0, -2*q + v + 86 - 17 = 0. What is the remainder when q is divided by 21?
12
Let s = -25 + 50. What is the remainder when s is divided by (-1)/((-3)/(-9)) + 20 - 3?
11
Let c = -2 - -7. Let m be (1 - 0)*20/c. What is the remainder when 30 is divided by m*5/((-5)/(-4))?
14
Let u(b) = -6*b - 11. Let p(a) = a**2 + 14*a - 8. Let t be p(-14). What is the remainder when u(t) is divided by 19?
18
Let l be 6/(-2) + 6 - 1. Suppose -16 = l*o - 4*o. Suppose x + q + o = 41, 3*q - 130 = -4*x. Calculate the remainder when x is divided by 11.
9
Let o be (-44)/2 - 2/(-2). What is the remainder when 6 is divided by (-6)/o - 19/(-7)?
0
Suppose -4*j = -2*v - 124, v + 0*v + j = -59. Let q = v - -101. Let a(p) = -4*p + 3. Calculate the remainder when q is divided by a(-2).
8
Suppose x - 61 = -5*s, -2*s + 180 = 4*x + 2*s. Let f = -28 + x. Calculate the remainder when ((-148)/(-12))/((-1)/(-3)) is divided by f.
11
Let g(h) = 6 + 62*h + 47*h - 11*h. Let z be g(6). Calculate the remainder when z/21 + (-4)/14 is divided by 15.
13
Suppose 0*f = -f + 25. Calculate the remainder when f is divided by 5 + 22/8 + 3/(-4).
4
Let g(r) = -6*r - 37. Suppose 2*j - 12 = 2*z - 54, z = -5*j + 15. What is the remainder when g(-19) is divided by z?
17
Suppose -26 = 5*b - 1. Let y = 9 + b. Calculate the remainder when y is divided by 2.
0
Let g(v) = v**3 + 10*v**2 - 11*v + 9. Let u be g(-11). Suppose u + 21 = -2*h. What is the remainder when (14 - -1)*(-10)/h is divided by 3?
1
Let v = 11 + 0. Let w(h) = 3*h**2 + 2*h - 1. What is the remainder when v is divided by w(-2)?
4
Let h = 16 - 4. Let u(p) = -p**2 + 16*p - 4. Let i be u(11). What is the remainder when (i/(-9))/((-3)/18) is divided by h?
10
Suppose t = 5*l + 19, -t + 3*l = -12 - 9. Suppose -b + 3*s = 0, -2*b - s = -b. Suppose b = -j + 3*j - t. What is the remainder when 35 is divided by j?
11
Let q be -1*3*(-2)/(-6). Let o be (0*(-1)/3)/q. Suppose 2*t - 5 - 3 = o. Calculate the remainder when 11 is divided by t.
3
Let x(k) = 5*k - 36. What is the remainder when x(23) is divided by 22?
13
Let l(q) = -2*q**2 - 4*q - 7. Let w(s) = 3*s**2 + 8*s + 15. Let o(x) = -5*l(x) - 3*w(x). What is the remainder when o(6) is divided by 2?
0
Suppose -2*h + 37 - 9 = 0. What is the remainder when 37 is divided by h?
9
Suppose 3*j - 15 = -2*p, -p - 3*j + 7 = -8. Let g = p - 0. Suppose 2*q - 22 = q + 5*d, g = 5*q - 5*d - 50. Calculate the remainder when 12 is divided by q.
5
Suppose 5*y - 328 = 4*n, n + 4*y + 82 = 3*y. What is the remainder when (n/2 - -2)/(-1) is divided by 21?
18
Let h = -3 + 91. Calculate the remainder when h is divided by 5.
3
Let i be (172/8)/(1/4). Suppose 2*l + 2*l = 2*d + i, -4*l = 4*d - 104. Let p = l + -9. Calculate the remainder when 26 is divided by p.
12
Let z(u) = u**2 - 7*u - 9. What is the remainder when 25 is divided by z(-2)?
7
Let m(a) be the first derivative of 2*a**3/3 - 2*a + 2. What is the remainder when 10 is divided by m(-2)?
4
Suppose 3*x + 2*h - 194 = 0, 9*h - 5*h = 5*x - 294. Calculate the remainder when x is divided by 21.
20
Let r = 11 + -6. Suppose -r*j + 145 = -5. What is the remainder when j is divided by 11?
8
Let k = -30 - -16. Let w = k - -39. Suppose 49 = 5*t + 4. What is the remainder when w is divided by t?
7
Calculate the remainder when (-1)/((3 + -2)*1/(-49)) is divided by 10.
9
Suppose -l = 2*l - 12. Suppose -5*h - 5*t - 95 = 0, -3*t + l = -t. Let v = -9 - h. Calculate the remainder when v is divided by 7.
5
Suppose o - 5 - 65 = -k, -3*k - 90 = -o. Suppose 3*v = 6*v - o. What is the remainder when v is divided by 9?
7
Let a = -17 + 30. Let v = a - 7. Suppose -123 = -7*f - 18. What is the remainder when f is divided by v?
3
Suppose 10 = 5*d - 50. What is the remainder when 226 is divided by d?
10
Calculate the remainder when 218 is divided by (-30)/4*8/(-3).
18
Suppose -40 = -2*h + 18. Calculate the remainder when h is divided by 10.
9
What is the remainder when 32 is divided by ((-11)/2)/(2/(-4))?
10
Suppose 0*v + 21 = 3*k - 3*v, -33 = -4*k + 5*v. Suppose k*a = 4*a - 74. Suppose -a = -3*t - 1. Calculate the remainder when 22 is divided by t.
10
Suppose r - 3 - 2 = 0, -5*k - 2*r + 115 = 0. What is the remainder when (30/(-75))/((-2)/310) is divided by k?
20
Let i = 7 + 10. Let y(r) = -r**3 + 7*r**2 - 6*r + 2. Let u be y(5). Let m = u + -16. Calculate the remainder when i is divided by m.
5
Calculate the remainder when ((-30)/(-14) + 2 + -1)*7 is divided by 14.
8
Let p be (-20)/10*(-10)/4. Suppose 4*g + y - 38 = 0, 9*g = 4*g + p*y + 35. What is the remainder when 33 is divided by g?
6
Let m be (7 + -4)*1 + 0. Suppose -m*f = 2*f - 125. What is the remainder when f is divided by 13?
12
Let t(s) = s**2