 w.
12
Let w(n) = 3*n**2 - n. Let r be (-4)/(1 + 1) + 8. Let f = r + -3. What is the remainder when f is divided by w(1)?
1
Suppose 5*x - 6 = 4*x. Calculate the remainder when 34 is divided by x.
4
Suppose -8*i + 11*i = 132. Calculate the remainder when 172 is divided by i.
40
Let b = 11 - 2. What is the remainder when b is divided by 3?
0
Let p(j) = j**3 - 3*j**2 + 2*j - 3. Suppose -2*g = -0*g - 10. What is the remainder when p(g) is divided by 30?
27
Suppose 0 = 5*z + 15. Let g(p) = -2*p - 2. Let i be g(z). Suppose m = -i*m + 5. What is the remainder when m is divided by 1?
0
Let s(d) = d**2 + 9*d + 42. Calculate the remainder when s(-5) is divided by 1 + -3 + 1*8.
4
Let k = 4 + 5. Calculate the remainder when 24 is divided by k.
6
Suppose 3*u - 147 = 5*t, 4*u - 2*t - 200 + 4 = 0. Calculate the remainder when u is divided by 13.
10
Let x(c) = 6*c - 7. Let y = 38 - 18. Calculate the remainder when y is divided by x(3).
9
Let w(a) = -a**3 + 8*a**2 - 6*a + 4. Calculate the remainder when w(6) is divided by 9.
4
Suppose 0*p - 3*i + 178 = 2*p, 5*p - 411 = i. Calculate the remainder when p is divided by 22.
17
What is the remainder when 828/14 + (-1)/7 is divided by 30?
29
Let b(k) = -k**2 + 8*k - 1. Let s be b(7). Calculate the remainder when 47 is divided by (s - -12)*2/3.
11
Let u(r) = r**3 + 4*r**2 - 4*r + 4. Let k be u(-5). Let h = 17 + k. Let y(p) = p**3 + 7*p**2 + 4*p - 3. Calculate the remainder when h is divided by y(-6).
7
Let i(j) = -4*j - 1 + 10*j + 4*j. Calculate the remainder when i(4) is divided by 21.
18
Let w(b) = 33*b**2 - 2*b + 1. Suppose 0*u + 50 = 5*u. Suppose u = 2*r - 24. Calculate the remainder when w(1) is divided by r.
15
Let d = -4 + 8. Let z = d + -1. What is the remainder when 11 is divided by z?
2
Suppose -3*t - 26 = -2*z, 5*z - t + 0*t - 39 = 0. Let i = -66 + 92. What is the remainder when i is divided by z?
5
Let w(c) = c**3 + 3*c**2 - 1. Let j = 32 - -5. Calculate the remainder when j is divided by w(2).
18
Let m(v) = v**2 - 3*v + 1. Let b(l) = l**3 - 12*l**2 + 10*l + 14. Let a be b(11). Suppose 2*p - 8 = -2*p. Calculate the remainder when p is divided by m(a).
0
Let m(v) = -v**3 + 2*v**2 + 4*v + 1. Calculate the remainder when 9 is divided by m(3).
1
Let w = 65 + -53. What is the remainder when 45 is divided by w?
9
Let a = -96 - -168. Suppose -28 = -3*h + 47. What is the remainder when a is divided by h?
22
Let l(o) = -o**2 + 7*o - 6. Let h be l(4). Suppose h = -j + 4*j. Suppose 2*b = 2*y - 0*y + 16, y = j*b - 20. Calculate the remainder when 35 is divided by b.
11
Let a(c) = -3*c + 9. Let g be a(10). What is the remainder when g/(-14)*(-106)/(-3) is divided by 27?
26
Suppose 12 = -3*x, 5*g + x = 3*x + 178. Suppose 4*u = -2*c + 70, -3*u + 53 = c - 0*c. What is the remainder when g is divided by u?
16
Suppose -28 + 8 = -4*s. Suppose 33 = s*h - 62. What is the remainder when 37 is divided by h?
18
Suppose -5*a + 191 = -179. Calculate the remainder when a is divided by 19.
17
Suppose -3*k - k - 12 = 0. Calculate the remainder when 15 - 1 - (0 + k) is divided by 6.
5
Let p(t) = -2*t - 14. What is the remainder when p(-10) is divided by 2?
0
Let d(u) = -u**3 - 5*u**2 - u + 6. Calculate the remainder when d(-5) is divided by 7.
4
Suppose o = -2*w + 13, 2*w - 34 = -3*w - 3*o. Let i = 10 - w. Let g(z) = z**3 - 6*z**2 - z + 8. What is the remainder when i is divided by g(6)?
1
Let a = -124 + 140. What is the remainder when 62 is divided by a?
14
Let k = -158 + 185. What is the remainder when k is divided by 6?
3
Suppose -2*d - 5*z = -2*z - 17, -4*z = -12. Let t(n) = 2*n**2 - 3*n - 5. What is the remainder when t(d) is divided by 4?
3
Suppose 0 = r + 4*r - 15. Suppose q = -3*i - 3, -i - 20 = -5*q - r. What is the remainder when ((-14)/q)/((-1)/6) is divided by 10?
8
Suppose m - 5*u - 6 = 16, 3*u + 110 = 5*m. Calculate the remainder when 153 is divided by m.
21
Suppose -5*n + 85 - 10 = -5*y, 3*y = 4*n - 62. Suppose 3 = -h + n. What is the remainder when 40 is divided by h?
12
Let i(m) = 25*m**3 + 2*m**2 - m. What is the remainder when (-75)/(-1) + -7*10/(-35) is divided by i(1)?
25
Suppose 0 = -3*p - 5*v + 54, -17 + 5 = 4*v. Let z be 4 - 2 - 4/(-2). Suppose z*j - 5*j = -12. What is the remainder when p is divided by j?
11
Let k = 2 - -1. Suppose f + 4*v = -4 + 13, 5*f - k = v. What is the remainder when 1 is divided by (f*2/(-2))/(-1)?
0
Let c(g) = 5*g. What is the remainder when 39 is divided by c(2)?
9
Let i be (-6)/(-9) + 642/9. Suppose 5*m + o = 4*o - i, 2*m - o = -28. Calculate the remainder when (-9 - 1)/(4/m) is divided by 11.
8
Suppose -l - 4*m - 15 = m, 0 = l - 2*m - 20. Calculate the remainder when 19 is divided by l.
9
Let d = 36 + -21. Let m = d + -9. Calculate the remainder when 10 is divided by m.
4
Suppose -3*d + 20 = 5*r - 0*d, -16 = -4*r - 4*d. Let s be (-2)/(-4) + (-10)/(-4). Let a = -1 + s. What is the remainder when r is divided by a?
0
Suppose -2*o = -o - 26. Let h = 11 - 7. Suppose -5*d - 2*i + 78 = 0, 27 + 27 = 5*d - h*i. Calculate the remainder when o is divided by d.
12
Let x(u) = -7*u + 6. Let b be ((-2)/(-1))/2 + 9. Let v = -17 + b. What is the remainder when x(v) is divided by 14?
13
Calculate the remainder when (-268)/(-3) - ((-1)/(-3) - 0) is divided by 23.
20
Let t(w) = -w - 8. Suppose 0*a - 9 = -a. What is the remainder when a is divided by t(-11)?
0
Suppose 2*r + 5*q + 8 - 36 = 0, -q + 36 = 2*r. Suppose i + 0*i = 36. What is the remainder when i is divided by r?
17
Let b(t) = -t**3 - 4*t**2 + 5*t - 6. Let p be b(4). Calculate the remainder when p/9*12/(-8) is divided by 11.
8
Let l(d) = -d**3 + 7*d**2 - 4*d - 5. Suppose -10 = -2*u, -2*u = -5*f + u + 15. What is the remainder when 12 is divided by l(f)?
5
Let x(h) = 2*h**3 - 6*h**2 - h + 5. Calculate the remainder when x(4) is divided by 12.
9
Suppose 30 = 5*u - 0*u. Let j = -8 - -12. What is the remainder when u is divided by j?
2
Suppose -2*r + 97 = 5*s, 5*r - 160 = -2*s + 114. Let d = r - 18. Suppose -3*c + 62 = 23. Calculate the remainder when d is divided by c.
12
Let n = 71 - 40. Let y be ((-2)/4)/(2/8). Calculate the remainder when n is divided by ((-22)/4)/(1/y).
9
Suppose 4*a - 6*a = -46. Let y be -4*(9/6 + -2). Suppose y*t = t + 12. Calculate the remainder when a is divided by t.
11
Let y(z) = 12*z. Let t(x) = x**2 - 6*x - 8. Let n be t(7). Let p = 0 - n. What is the remainder when 34 is divided by y(p)?
10
Let h(i) = 2*i + 2. Let j be h(-2). Let p be (j/5)/(3/15). What is the remainder when 39 is divided by 9 + p*(-2)/4?
9
Let w(n) = 14*n**2. Let q(g) = g**3 + 2*g - 3*g**2 - 2*g**3 + 3*g**3 - 3*g**3. Calculate the remainder when w(-1) is divided by q(-4).
6
Let b = 110 - 104. Let l(m) = 2*m**2 + 2. What is the remainder when l(2) is divided by b?
4
Let y be -1 + 9/(-3 - -4). Let d(x) = -x + 6. Let t be d(-5). Let o = t - y. Calculate the remainder when 7 is divided by o.
1
Let l(k) = k**2 + 14*k + 11. What is the remainder when l(-14) is divided by 3?
2
Let u = 81 + -46. Calculate the remainder when u is divided by ((-4)/6)/(-1)*(-1254)/(-44).
16
Suppose 0 = -6*q + 10*q - 136. Calculate the remainder when q is divided by 12.
10
Suppose -4*o = -60 - 64. Calculate the remainder when o is divided by 17.
14
Let x(v) = -5*v. Let r(c) = -2*c**2 - 2*c. Let m be r(-2). Let h(n) = -n**2 - 5*n - 6. Let w be h(m). What is the remainder when 27 is divided by x(w)?
7
Suppose 5*y - 5*l = -4 + 29, y - 29 = -5*l. Let x(d) = d + 53. What is the remainder when x(-28) is divided by y?
7
Let y(c) be the third derivative of c**5/30 - c**4/6 + 7*c**2. Calculate the remainder when y(5) is divided by 17.
13
Let f be ((-9)/(-12))/((-6)/144). Let p = 31 + f. Calculate the remainder when 6/(-2)*(0 + -17) is divided by p.
12
Let t(m) = 3*m**2 - m**3 - m - 5*m - 5*m**2 - m**2. Let d be t(-4). What is the remainder when 79 is divided by (30/d)/(1/36)?
25
Suppose -4*t - 6 = 26. What is the remainder when (-2 - t)*17/2 is divided by 18?
15
Let h = -1 - -14. Let v(q) = q**2 - 10*q - 7. Calculate the remainder when v(h) is divided by 4/(-18) - (-404)/36.
10
Let s = -2 + 5. Suppose -s*j - 37 = -2*k, 6 + 5 = k + j. What is the remainder when k is divided by 5?
4
Suppose 3*l - 8*l + 28 = -2*d, d = -3*l + 8. Let t(z) = -z**3 - z**2 - 7. Calculate the remainder whe