 a = -66 - -101. Suppose -b = 3, z - 3 = -2*z - b. Suppose 4*n + 29 = 3*w - 26, n + a = z*w. Calculate the remainder when w is divided by 6.
5
Suppose -4*m + 8 = -5*y + 3*y, 3*y + 6 = 3*m. Suppose 0*p - m*p + 470 = 0. Suppose 3*k - 8*k = -p. What is the remainder when k is divided by 16?
15
Suppose 98 = 3*p - 4*u, 47 = -p + 3*p + u. Let b = 38 - p. What is the remainder when (-1 - 14)*35/(-15) is divided by b?
11
Let n = -4 - 2. Let h = n + 31. What is the remainder when h is divided by ((-21)/2)/((-63)/(-18) + -5)?
4
Let u(m) = -m**2 + 8*m + 7. Let f be (33 - (2 + -3)) + 0. Suppose -6 = -g - w, -3*g - 2*g - w = -f. What is the remainder when 27 is divided by u(g)?
13
Suppose 4*k - 5*k - 2 = 0, -5*h - 5*k + 90 = 0. What is the remainder when 97 is divided by h?
17
Suppose 4*v - 34 = -5*p, 0 = -3*v + p + 9 + 7. Calculate the remainder when v is divided by 3.
0
Let g = 22 - 22. Suppose -3*s + 6 = g, 0*v + 125 = 3*v - 5*s. Calculate the remainder when v is divided by 16.
13
Let h be ((-12)/(-9))/(12/27). Calculate the remainder when 56 is divided by ((-3)/9)/(h/(-171)).
18
Suppose -3*g = -2*g - 2. Suppose -g = -3*k + 4. What is the remainder when (-11)/(k + (-6)/2) is divided by 4?
3
Suppose 2*u + o + o = 10, -4*u + 18 = 3*o. Let k(q) = 3*q**2 - 3*q - 1. What is the remainder when k(u) is divided by 5?
2
Let w = 9 - 18. Suppose -4*h - 37 = -9. Calculate the remainder when (w - h)/(4/(-74)) is divided by 13.
11
Suppose 4*a - a - 48 = 0. Suppose -14 - a = -b. Calculate the remainder when b is divided by 16.
14
Suppose 3*r + 10*g = 5*g + 313, 4*r - 440 = -g. What is the remainder when r is divided by 29?
24
What is the remainder when (-1)/6 + 134/12 is divided by 5?
1
Suppose -3*t + 17 = -169. What is the remainder when t is divided by 16?
14
Let u(w) = -w**2 - 11*w - 12. Let a(g) = -g - 1. Suppose z + 2 = 3*z. Let y(k) = z*u(k) - 3*a(k). What is the remainder when y(-6) is divided by 2?
1
What is the remainder when 17 is divided by ((-130)/13)/(0 + -1)?
7
Suppose -2*d = 2*d - 20. Calculate the remainder when 22 is divided by d.
2
Suppose 12*n - 44 = 8*n. Calculate the remainder when n is divided by 4.
3
Suppose -22 = 2*w - 4*w. Let h(n) = n**2 - n. Let t be h(1). What is the remainder when 24 is divided by (t + 1)*w + 2?
11
Suppose 2*u - 3*u = 5*k - 165, -4*k + 111 = 5*u. What is the remainder when k is divided by 12?
10
Suppose -b + 5 = 2. Let s = -25 + 31. Calculate the remainder when ((-34)/s)/(b/(-9)) is divided by 5.
2
Suppose 3*p - 7 = 5, -2*p = -t - 1. What is the remainder when t is divided by 3?
1
Let f be ((-6)/(-15))/(1/5). Suppose -4*x + 2*b = -52, -f*b = 6*x - 4*x - 14. What is the remainder when 41 is divided by x?
8
Calculate the remainder when 62 is divided by (2 - (-14)/(-8))*2*32.
14
Let h(a) = 3*a**2 + 3 - a - a**2 - a**2. What is the remainder when h(7) is divided by 12?
9
Suppose -2*i = 4*k + 4, -k - 12 = 3*k. Let o(m) = m**2 - 3*m + 6. Calculate the remainder when o(4) is divided by i.
2
Let s = 9 + -1. Calculate the remainder when 15 is divided by s.
7
Suppose 3*s + 0*w - 11 = -5*w, -4*w = 4*s - 28. Calculate the remainder when ((-16)/(-6) + -1)*27 is divided by s.
9
Suppose 2*s - 4*x = 142, 4*s + 5*x + 0*x - 297 = 0. Calculate the remainder when s is divided by 19.
16
Let v(z) = 3*z**2 - 2*z - 3 + 3*z**2 - 4*z**2. Suppose -2*o + 73 = -51. What is the remainder when o is divided by v(4)?
20
Suppose -3*k + 0*k = 102. Let p = 63 + k. Let t = -14 + p. Calculate the remainder when 44 is divided by t.
14
What is the remainder when 35 is divided by 2/8 - 284/(-16)?
17
Let x(r) = r**3 - 9*r**2 + 13*r - 10. Let a = 3 + 5. Calculate the remainder when x(a) is divided by 11.
8
Let d(s) = -s**2 - 7*s + 5. Let b be d(-8). Let w(i) = i**2 + 6*i. Let n be w(b). Let p = n - -18. What is the remainder when 17 is divided by p?
8
Suppose 5*z + 3*l - 625 = 0, -5*z - l + 625 = 4*l. Suppose 0 = 5*x - z - 105. What is the remainder when x is divided by 16?
14
Suppose -m + 5*m - 24 = 0. Let q be (-2)/8 - 102/8. Let n = m - q. Calculate the remainder when n is divided by 10.
9
Let i(y) = -14*y - 6. What is the remainder when i(-8) is divided by 27?
25
Let x(t) be the first derivative of -t**4/4 + 7*t**3/3 - t**2 - 7*t - 2. Calculate the remainder when x(6) is divided by 31/3 + 1/(-3).
7
Let m(k) = -k**2 - 2*k + 31. Let d = -15 + 15. Calculate the remainder when 92 is divided by m(d).
30
Calculate the remainder when (2/6)/(4/948) is divided by 40.
39
Suppose 55 = 3*d + 2*d. Let h = d - 6. Suppose b - h*n + 0 = -5, 5*b + 4*n - 33 = 0. Calculate the remainder when b is divided by 2.
1
Suppose 0 = -2*z + 17 + 31. Calculate the remainder when 85 is divided by 12/2*88/z.
19
Let p = 59 + -41. Let f(v) = -v**2 + 2*v + 2. Let u be f(4). What is the remainder when p is divided by 0 - 5*u/3?
8
Suppose m + h - 25 = 0, 5*m - 122 = h + 27. Calculate the remainder when m is divided by 8.
5
Let h = 9 + -5. Let i = -2 + h. Suppose -a = -10 - i. What is the remainder when 22 is divided by a?
10
Suppose 2*o - 46 + 12 = 0. Suppose 0 = -2*z - 3*z + 245. Suppose -14 = -2*j + 4*d, 0*j + 4*d - z = -5*j. Calculate the remainder when o is divided by j.
8
Suppose -6*f + 2*f = 0. Let i(g) = 13*g + 1. Let t be i(1). Suppose f = -k - k + t. What is the remainder when k is divided by 5?
2
Let d be (-58)/18 + (-4)/(-18). Let v be 6/(d/(-6)*4). Let l = 13 + v. What is the remainder when l is divided by 9?
7
Let d = 85 - 37. Calculate the remainder when d is divided by 17.
14
Suppose 3 = 5*i - 22, 4*r = 3*i + 181. What is the remainder when r is divided by 13?
10
Suppose -3*k = -5*h + 29, -4*h + 2*k + 19 = k. Suppose -h*d = d - 15. Suppose -d*f + 47 + 67 = 0. Calculate the remainder when f is divided by 13.
12
Suppose 3*f = -5 + 2. Suppose -2*y + 7*y - 80 = 0. Calculate the remainder when y is divided by 1/(2/f)*-12.
4
Suppose 5*y - 2*i - 71 = 0, -50 = -5*y + y + 5*i. Calculate the remainder when y is divided by 6.
3
Let h = -13 - -3. Let q = 48 + h. Calculate the remainder when q is divided by (-13 + 0/(-1))*-1.
12
Let m be 7*3/(1 + 2). Suppose m*v = 3*v + 76. What is the remainder when v is divided by 5?
4
Let c(g) = 20*g - 7. What is the remainder when c(1) is divided by 2?
1
Let h(r) = 3*r + 8. Let c(a) = -2*a**2 - a - 1. Let s be c(-1). Let i = 11 + s. Calculate the remainder when h(6) is divided by i.
8
Suppose 2*a = 4*q + q - 59, -2*q = -5*a - 32. Suppose 0 = -3*b + 3*r + 3, 9 - 2 = 4*b - 3*r. Calculate the remainder when q is divided by b.
3
Let y(h) = -3*h. Let c = -8 - -31. What is the remainder when c is divided by y(-4)?
11
Suppose 0 = 5*u - 14 - 31. Let m = -1 - -3. Suppose -c - m*c = -15. What is the remainder when u is divided by c?
4
Let o(n) = 2*n - 7. What is the remainder when 18 is divided by o(6)?
3
Let u = 1 - -5. Suppose 0*a = 2*a - u. Suppose a*w = -0*w, 2*v - 3*w = 8. Calculate the remainder when 6 is divided by v.
2
Let v = -33 + 40. Let x = 4 - 2. What is the remainder when v is divided by x?
1
Let v(m) = -11*m - 14. Calculate the remainder when 10 is divided by v(-2).
2
Suppose 4*f - 280 = -f. Suppose 0 = d + 26. Let x = d + f. Calculate the remainder when x is divided by 8.
6
Suppose 0 = -4*w - 4*p + 172, 3*w - 2*w = 2*p + 31. Suppose -5*r + l = -23 - w, l = -3*r + 34. What is the remainder when 33 is divided by r?
9
Let m(v) be the third derivative of -v**4/4 + 2*v**3/3 - 2*v**2. Let q be m(3). What is the remainder when (-490)/(-18) + q/63 is divided by 7?
6
Suppose 7*h - 323 = 34. Calculate the remainder when h is divided by 6.
3
Let v(h) = -5*h**2 + 2. Let c be v(-2). Let a be 2/9 + 202/c. Calculate the remainder when 17 is divided by 1*-1*(a + 2).
8
Let w(z) = -z**2 + 5*z + 2. Let m be w(4). Calculate the remainder when m/3*(-83)/(-2) is divided by 28.
27
Suppose 0 = -5*p + 5, 5*m = 4*p - 8 - 6. Let v = m - -15. Calculate the remainder when 36 is divided by v.
10
Suppose 2*q + 2*q = 28. What is the remainder when 15/(-35) - (-480)/42 is divided by q?
4
Let b = 29 - 13. Let d(z) = 10*z + 3. Let p(o) = o + 1. Let q(r) = d(r) - 2*p(r). What is the remainder when b is divided by q(1)?
7
Suppose 3*c - 11 = -2. Let u(s) = 0 - 8*s - c + 5. What is the remainder when u(-3) is divided by 14?
12
Suppose -f + 6 = 2*f. Let u(s) = 0 - 2 - 6*s + 5*s. What is