3*g. Suppose -f + 0*f - 28 = 0. Let q = -16 - f. Calculate the remainder when g is divided by q.
10
Suppose -9*x - 100 = -370. Calculate the remainder when 114 is divided by x.
24
Let a = -16 + 34. Let z = 47 - a. What is the remainder when z is divided by 16?
13
Suppose 54 = -4*u + 378. Let f = -93 + 114. What is the remainder when u is divided by f?
18
Suppose -2*c + 0 = 4*h - 2, 0 = 3*c + h - 3. Calculate the remainder when 3 is divided by c.
0
Let b be (-4)/20 + 62/10. Let s(j) = -j**2 + 3*j + 8. Let p be s(b). Calculate the remainder when (18/15)/((-2)/p) is divided by 4.
2
Suppose 15 - 54 = -3*x. Let v = -36 - -85. What is the remainder when v is divided by x?
10
Suppose 4*j - 32 = -4*r, -6 = -3*r + 3*j - 0*j. Suppose -b - 8 = 5*u - 36, 9 = 3*u. What is the remainder when b is divided by r?
3
What is the remainder when 78 is divided by 15/(-5) - (1 + -20)?
14
Let f(x) = 4*x**2 + x + 1. Let p = 39 - 57. Let r = p + 39. Calculate the remainder when f(3) is divided by r.
19
Let g be 5/(-2) + 1/2. Let v be ((-9)/(-6))/(g/(-4)). Suppose -v*h + 0*h + 6 = 0. What is the remainder when h is divided by 1?
0
Suppose -3*o = -2*s - 121, o + o - 3*s = 79. Let v = -27 + o. What is the remainder when v is divided by 8?
6
Suppose 0*k - 2*k - 16 = 0. Let a(v) = v**2 + 4*v + 11. Suppose 0 = j + 3*t - 24, -4*t - 63 = -4*j - 5*t. Calculate the remainder when a(k) is divided by j.
13
Let j(u) = u**3 - 9*u**2 + 3. Let l be j(9). Suppose l*v = -2*v + 175. Calculate the remainder when v is divided by 12.
11
Let y(k) be the second derivative of -k**5/20 + k**4/3 + k**3/6 + 2*k**2 + 2*k. Calculate the remainder when 31 is divided by y(3).
15
Suppose 3*w + 8 + 1 = 3*f, 3*w + 8 = 2*f. Suppose 2 = -2*t + 4*a, -a + f = -4*t + 11. Calculate the remainder when 4 is divided by t.
1
Let q(f) = 2*f**3 - 3*f**2 + 2*f - 1. What is the remainder when q(2) is divided by 5?
2
Let d = -8 - -2. What is the remainder when d/9*(-93)/2 is divided by 11?
9
Let l(z) = -z**3 + 12*z**2 - 11*z + 5. Let i be l(11). Suppose -4*d - 7 = 9, -5*d = i*w - 105. Calculate the remainder when 97 is divided by w.
22
Let c = 103 - 62. Suppose 3*i + i - 88 = 0. What is the remainder when c is divided by i?
19
Let u = 28 - 14. What is the remainder when 80 is divided by u?
10
Suppose 3*j = 3*z - 6*z + 81, 0 = 5*z + j - 131. Suppose 0 = 2*c - z. What is the remainder when 37 is divided by c?
11
Suppose 2*k + 0*s + s - 51 = 0, 4*s = -5*k + 129. What is the remainder when 272 is divided by k?
22
Suppose 0 = 4*f - 3*o - o - 88, 0 = f - 4*o - 34. What is the remainder when 53 is divided by f?
17
Suppose 0 = 11*d - 9*d - 66. Calculate the remainder when d is divided by 18.
15
Let b = 111 - 43. What is the remainder when b is divided by 14?
12
Suppose 6*r - 2*r = 36. Suppose -4*f = -85 - 83. What is the remainder when f is divided by r?
6
Let j be 2/(-8) - (-34)/8. Let v(q) = -7 + 3 + j*q**2 + 2 + 2*q - 7*q. What is the remainder when v(-3) is divided by 17?
15
Let d be (-5)/(3/117*-3). Let c = d + -19. What is the remainder when c is divided by 16?
14
Let w = 1 + 15. Let d(g) = g**3 + 5*g**2 + 3*g + 2. Let t = -6 - -2. Calculate the remainder when w is divided by d(t).
4
Suppose 4*r - 4*q = 292, 2*r + 5*q - 54 = 92. What is the remainder when r is divided by 19?
16
Suppose -95 = -4*c + o + 178, -330 = -5*c - o. Calculate the remainder when c is divided by 17.
16
Let j(o) = 2*o**2 + 11*o - 6. Let t be j(-8). Calculate the remainder when (-10 + 3)*(-5 + -2) is divided by (t/(-4))/((-1)/2).
15
Let f be -18 - 0 - (0 + 0). Let t be 10/45 - 32/f. Suppose 3*m = t*p + 32, -4*p + 0 = 4. What is the remainder when 29 is divided by m?
9
Suppose 3*m = 3*o - 192, -4*o - 6*m + 249 = -3*m. Suppose -3*l + 4*y = -o, 3*y + y + 12 = 0. What is the remainder when 49 is divided by l?
15
Let b = -113 + 116. Calculate the remainder when 17 is divided by b.
2
Let s = 91 - 51. Calculate the remainder when s is divided by 21.
19
Let x(i) = 7*i**2 + 6*i + 3. What is the remainder when x(3) is divided by 30?
24
Let y = 7 - 1. What is the remainder when y is divided by 3?
0
Let a(s) = -3*s - 2. Let l be a(-2). Suppose -l*q + 38 = -54. Suppose -90 = -o - o. What is the remainder when o is divided by q?
22
Let x be (-1715)/55 - 2/(-11). Let q = 5 - x. Suppose 0*u - u + 9 = 3*z, -q = -4*u + 5*z. What is the remainder when 35 is divided by u?
8
Let y = -16 + 29. Calculate the remainder when y is divided by (0 - -1)/(8/56).
6
Let p(z) = -2*z - 10. Calculate the remainder when 33 is divided by p(-11).
9
Let b(f) = f**2 + 17*f - 15. Calculate the remainder when 4 is divided by b(-18).
1
Let o(z) = -2*z - 17. Calculate the remainder when 87 is divided by o(-14).
10
Let x(q) = -q**2 + 8*q + 6. Suppose -3*w + 24 = -0*w. Let t be x(w). What is the remainder when 4/t*(35 - 2) is divided by 12?
10
Suppose -8*c + 433 = -199. What is the remainder when c is divided by 27?
25
Let h(m) = m**3 + 8*m**2 - 22*m + 12. What is the remainder when h(-10) is divided by 2 - 1 - 30/(-3)?
10
Let k = 25 - 18. Calculate the remainder when 17 is divided by k.
3
Suppose -297 = -4*w + 4*z - 1, 0 = 5*z + 25. Calculate the remainder when w is divided by 18.
15
Let j be (-2)/(-3)*(-1 - 5). What is the remainder when ((-6)/j - 2)*-106 is divided by 14?
11
Suppose -3*w = -7*w + 16. Calculate the remainder when 13 is divided by w.
1
Let x be 1 - (3 + 43/(-1)). Calculate the remainder when 3 + x + (-6)/(-2) is divided by 12.
11
Suppose 30 = 4*y - y. Suppose -4*l + 13 = -11. Calculate the remainder when y is divided by l.
4
Let c(v) = -4 + 4*v**2 - 2*v + v**3 + 6 + 0. Calculate the remainder when 18 is divided by c(-4).
8
Let i(b) = -33*b - 1. Let s be i(1). Let g(j) = -j**3 + 4*j**2 - 4*j - 6. Let z be g(5). Let n = s - z. Calculate the remainder when n is divided by 9.
8
Suppose -241*r + 33 = -238*r. What is the remainder when 63 is divided by r?
8
Let a = -17 - -24. Suppose -5 = -4*v + a. Calculate the remainder when 8 is divided by v.
2
Let y = 104 + -85. Calculate the remainder when -10*((-17)/2 - -1) is divided by y.
18
Let l = 2 - -10. Calculate the remainder when l is divided by 6.
0
Suppose -t + 49 = -5*v, 5*t + 4*v - 158 = -0*t. Calculate the remainder when 67 is divided by t.
33
Suppose 11 = 3*r - 1. Suppose -r*b - 140 = -4*p - 5*b, 175 = 5*p - 3*b. Calculate the remainder when p is divided by 9.
8
Suppose t + 2 = 2*t. Suppose 1 = -a - 1. Let q = 0 - a. What is the remainder when t is divided by q?
0
Suppose -5*w - 4*o + 419 = 0, w + 2*w - o - 265 = 0. What is the remainder when w is divided by 22?
21
Suppose 4*l - 5*t - 31 - 2 = 0, 6 = -2*l - 2*t. Suppose 2*x - 8 = -0*x. Calculate the remainder when x is divided by l.
0
Let j(v) = -3*v**3 - v**2 + v - 1. Let p = -5 - -10. Calculate the remainder when j(-2) is divided by p.
2
Let n(c) = 19*c + 14*c + 1 + 2. Calculate the remainder when n(2) is divided by 18.
15
Suppose -2*p + 4*j = -78, 0*p + 5*p - 177 = j. What is the remainder when p is divided by 19?
16
Let o = 82 + -78. Let s(i) = -i**2 - 5*i - 3. Let a be s(-3). Let c = o + a. Calculate the remainder when 13 is divided by c.
6
Let n be -3*(-3)/9 - -2. Suppose n*y + 6 - 96 = 0. Calculate the remainder when y is divided by 16.
14
Let n(l) be the second derivative of -25*l**3/6 - 3*l**2/2 - 2*l. Calculate the remainder when n(-2) is divided by 12.
11
Suppose 2*c + 2*c + 16 = 0. Let y(o) = o**2 + 1. What is the remainder when 33 is divided by y(c)?
16
Let i(c) = 2*c - 3. What is the remainder when (-177)/(-7) - 74/259 is divided by i(6)?
7
Suppose -3*q = -3 - 18. Let j = 45 - 70. What is the remainder when ((-65)/j)/((-2)/(-10)) is divided by q?
6
Let u = -18 + 10. Let p = -5 - u. Suppose -25 - 50 = -p*j. Calculate the remainder when 48 is divided by j.
23
Let x = 3 + -3. Let z = 1 - x. What is the remainder when 1 is divided by z?
0
Suppose 2*f + 5*o = 123, -4*f + 2*o + o = -233. Calculate the remainder when f is divided by (-59)/(-3) - (-8)/24.
19
Suppose 6*t = 3*t + 216. Calculate the remainder when t is divided by 25.
22
Let v = -50 - -145. Suppose -4*h = 5*i - v, -1 = h - 4*i - 9. Calculate the remainder when 58 is divided by h.
18
Suppose -3*v + 10 + 5 = 0. Suppose -5*g - 2*u = -39, v*g + 6*u = 2*u + 43. Suppose -5*m + g*m - 30 = 0. Calculate the remain