en p is divided by t?
3
Suppose 5*q + 4*h - 67 = 0, -5*h = 2*q + 10 - 30. Let i be (0 - 18/q)*-5. What is the remainder when 19 is divided by 4/i*-5*-3?
9
Suppose 35 = 22*c - 53. What is the remainder when 27 is divided by c?
3
Let u(j) = -10*j**3 - 2*j + 1. Let w be u(1). Let c = w - -23. Suppose 4*a - 138 - 50 = -4*i, 0 = -2*a - i + 93. What is the remainder when a is divided by c?
10
Let a(n) = -n**2 + 6*n - 2. What is the remainder when 19/3 - (-4)/6 is divided by a(5)?
1
Let s = 4 + -3. Let m be 0/(s*4/2). Let o = m + 2. What is the remainder when 5 is divided by o?
1
Let q(u) = u**2 - 9*u + 7. Let n(z) = z**3 - 12*z**2 + 11*z + 3. What is the remainder when q(9) is divided by n(11)?
1
Suppose -7*w = -2*w - 90. Suppose u + 6 = 4*b - 11, -5*b - 2*u + w = 0. Suppose b*q - 160 = -q. Calculate the remainder when q is divided by 11.
10
Let t(i) = 3*i**3 - 2*i**3 - 5*i**2 + i - 2*i**2 - 3. Let p(m) = m**3 + 4*m**2 - 1. Let g be p(-2). What is the remainder when 7 is divided by t(g)?
3
Suppose 0*l - 11 = -3*l - f, 0 = 4*f + 4. Suppose 0*p - l*p - 48 = 0. Calculate the remainder when 12 is divided by (-86)/p + 2/(-12).
5
Let w = 16 - 28. Let q = 17 + w. Suppose 45 = 5*x - 0*x. Calculate the remainder when x is divided by q.
4
Let n(i) = i**3 - 3*i**2 - 5*i + 6. Calculate the remainder when n(4) is divided by 1.
0
Let v(m) = -m**3 + 5*m**2 + 7*m - 2. What is the remainder when v(5) is divided by 12?
9
Let r(t) = -8*t + 37. What is the remainder when 36 is divided by r(3)?
10
Suppose 7*a = -16*a + 2323. Calculate the remainder when a is divided by 13.
10
Suppose -82 - 2 = -3*d. Let f = -15 + d. Suppose 0 = -c - 3*c + 100. Calculate the remainder when c is divided by f.
12
Suppose -24 = -4*x + 4*n, 3*x + 0*x - 2 = -n. Let h = x + 13. What is the remainder when 57 is divided by h?
12
Let n be (12 + -2 - 1)*1. What is the remainder when 23 is divided by ((-6)/7)/(n/(-63))?
5
Let k = -24 + 40. Calculate the remainder when 61 is divided by k.
13
Let k(y) = y**3 + 6*y**2 + 4*y - 5. Calculate the remainder when k(-4) is divided by (-26)/(-7) - 4/(-14).
3
Let o = -12 - -9. What is the remainder when 24 is divided by 2/(-2)*(-8 - o)?
4
Let z(q) = -23*q + 15. Calculate the remainder when z(-2) is divided by ((-21)/4)/((-2)/8).
19
Let d(a) = -a**3 + 2*a**2 + 3*a + 3. Let p be d(3). Let v = p - -1. What is the remainder when 10 is divided by v?
2
Suppose -5*p - 3*b + 15 = -4*p, -3*b = 0. Suppose d + 4 = o + 7, 0 = -3*o + 15. Calculate the remainder when p is divided by d.
7
Suppose 96 = 5*v - 29. Calculate the remainder when v is divided by 7.
4
Let j = -216 - -339. Let o = j + -18. Suppose -3*c = 2*c - o. What is the remainder when c is divided by 11?
10
Suppose -3*u + 25 = 2*u + 5*h, u = 3*h - 7. Suppose -x + 5 = u*c, -10 = -c + x - 4*x. Calculate the remainder when c is divided by 1.
0
Let a(y) = 2*y - 7. Suppose 5*b = 2*m + 39, 3*b + 2*m = -b + 24. Calculate the remainder when a(b) is divided by 2.
1
Suppose -3*z = 2*z - 10, g + z - 72 = 0. Let l = 44 - 26. What is the remainder when g is divided by l?
16
Suppose j + 6 = 2, -5*j = 3*v + 14. Let r(b) = 3*b - v*b + 0*b + 1. Calculate the remainder when 20 is divided by r(6).
6
Let w(s) = -s**3 - 2*s**2 + s + 15. Calculate the remainder when 73 is divided by w(0).
13
Let g = 27 + 14. Suppose -a = 2*s - 9, 5*a + 10 - 25 = 0. Suppose -12 = s*q - 54. Calculate the remainder when g is divided by q.
13
Suppose -2*x - 10 = -t, -3*t = -x + 3*x - 38. Calculate the remainder when 34 is divided by t.
10
Let v(f) = -f**3 - f**2 + f + 13. What is the remainder when 24 is divided by v(0)?
11
Suppose 7*u - 458 - 207 = 0. Calculate the remainder when u is divided by 48.
47
Suppose -5*j = -2*t - 24, 5*j + 4*t - 36 = j. Suppose 2*c = 6 + 16. What is the remainder when c is divided by j?
5
Let m(u) = -5*u**3 + 4*u**3 + 13 - u + 12. Let d = 0 - -9. What is the remainder when m(0) is divided by d?
7
Calculate the remainder when (-108 + 0)*14/(-21) is divided by 25.
22
Let f(l) be the first derivative of l**4/4 + 3*l**3 + 7*l**2/2 - 8*l - 2. What is the remainder when f(-7) is divided by 14?
13
Suppose 20 = -5*k - 20. Let q be (-1 - k)/(-1) + -1. Let w(c) = -2*c - 4. Calculate the remainder when 34 is divided by w(q).
10
Let t(o) = o**3 - 2*o**2 + 2*o + 1. Let d be t(2). Let z(c) = c + 4. Let i be z(4). Let a = i - d. Calculate the remainder when 8 is divided by a.
2
Let l(u) = u**3 - 2*u**2 - 4*u + 3. Let a be l(3). Suppose -4*f + 18 + 66 = a. Let m(h) = 7*h + 1. Calculate the remainder when f is divided by m(1).
5
Let p(u) = u**2 - u - 2. Let k be p(0). What is the remainder when 7 is divided by 23/7 + k/7?
1
Let x(j) = j**2 - 7*j + j**2 + 0 - 1. Suppose -d - 5*w = -6*d + 265, -4*w - 158 = -3*d. Calculate the remainder when d is divided by x(5).
12
What is the remainder when 22 is divided by 66/(-11)*(-1 - 0)?
4
Let s = 4 + -1. Let c = s + 0. Suppose -b = -c*b + 10. What is the remainder when 13 is divided by b?
3
Suppose 4*k - 97 = a, k - 3*a - 23 - 4 = 0. What is the remainder when 40 is divided by ((-12)/2 - -3) + k?
19
Let b = -7 + 13. Suppose -12 = -w + t, -3*t + 36 = 3*w + 2*w. What is the remainder when w is divided by b?
3
Suppose 4*x = -2*o + 8, 5*o + 3*x = 4*x + 9. Let i be 93/9 - 1/3. Suppose 11 + i = 3*f. Calculate the remainder when f is divided by o.
1
Let y = -205 + 336. Calculate the remainder when y is divided by 0 + -1 + -2 + 36.
32
What is the remainder when 4 is divided by ((-7)/14)/(2/(-8))?
0
Suppose -12 + 54 = 2*h. What is the remainder when h is divided by 12?
9
Suppose 19*w - 17*w - 114 = 0. What is the remainder when w is divided by 20?
17
Suppose -j = 4*j - 55. Suppose -2*t = -j + 3. Suppose -3*i - 2*i - t*d = -148, -i = 3*d - 34. What is the remainder when i is divided by 10?
8
Let g(y) = y + 2. Let r be g(0). Suppose -32 = -r*d + 4. Calculate the remainder when 35 is divided by d.
17
Let p(j) = -j**2 + 4. Let q be p(0). Suppose -5*m + 2*m = q*h - 122, -4*m + 169 = -h. What is the remainder when m is divided by 15?
12
Let c(l) = 5*l**2 - 2*l - 1. Calculate the remainder when c(2) is divided by 4.
3
Suppose -13*h + 7*h = -90. Calculate the remainder when h is divided by 7.
1
Suppose -2*y + 27 = 3*g + y, 0 = -2*g - y + 21. Calculate the remainder when g is divided by 4.
0
Let d = 1 + 1. Suppose -l - 6 = -d*l. What is the remainder when 16 is divided by l?
4
Let t = -2 + 26. Let y = t - 10. Let u = 49 + -22. Calculate the remainder when u is divided by y.
13
Let p(b) = b**3 - 7*b**2 + 4*b - 1. Let f be p(7). Let g = -7 + f. What is the remainder when 58 is divided by g?
18
Let p(r) = -r**3 + 5*r**2 + r - 2. Let f be p(4). Let l = -2 + f. What is the remainder when 46 is divided by l?
14
Suppose 0 + 27 = 3*g. What is the remainder when g is divided by 5?
4
What is the remainder when 31 is divided by 2/1*(4 - 0)?
7
Suppose w - 2 = 92. Calculate the remainder when w is divided by 32.
30
Let z = 117 + -80. Calculate the remainder when z is divided by 19.
18
Let o = -77 - -14. Calculate the remainder when 14 is divided by 2/(-8) + o/(-12).
4
Let d be (-5)/(5/(-42)) - 3. Let k = -10 + d. What is the remainder when k is divided by 15?
14
Calculate the remainder when 76 is divided by (-9 - -12 - -37)/(1 - 0).
36
Let o = 64 + 92. Suppose 3*j + 3*z - 2*z - o = 0, 4*j = -4*z + 200. What is the remainder when j is divided by 18?
17
Let x = -10 + 34. What is the remainder when 69 is divided by x?
21
Suppose 4*f - 230 = -2*c, 0*f = -4*c + 4*f + 400. Suppose 4*g - c = -g. What is the remainder when g is divided by 8?
5
Let f(s) be the second derivative of -s**5/20 - s**4/2 - 7*s**3/6 + 3*s**2 - 2*s. Let h = 18 + -24. Calculate the remainder when f(h) is divided by 17.
14
Suppose g + 3*x + 5 = 0, 2*g + g = x + 25. Suppose -5*d + 6 = -14. Suppose -2*b + b = -d*h + 79, 4*h - 76 = 4*b. What is the remainder when h is divided by g?
6
Suppose -3*b + 3 + 29 = j, 5*b - 58 = -4*j. Suppose 5*u = 5*q + 30, -4*u + 5*q + 21 = -7. Calculate the remainder when (u - (-75)/3) + 1 is divided by b.
8
Suppose 24 = 3*v + v. Let d = v - 2. Suppose s + 75 = d*s. Calculate the remainder when s is divided by 13.
12
Let o(l) = 2*l + 10. Let x be o(-5). Suppose 0 = -3*w - 5*b + 117, 4*w - 4*b + x*b = 156. Calculate the remainder when w is 