e (-85)/(-30) - 1/(-6). Suppose -q = -0*q - h. Calculate the remainder when 7/1 + (-1)/(-1) is divided by q.
2
Let i = -41 + 44. What is the remainder when 17 is divided by i?
2
Calculate the remainder when 6/4*188/6 is divided by 34/3 - (-16)/24.
11
Let q = 21 + -4. Calculate the remainder when q is divided by 10.
7
Suppose -m = 2*t - 4, 29 = 2*m - 2*t + 3. Let q = m - -1. Calculate the remainder when q is divided by 7.
4
Suppose o - 3*m = -3, -2*o + 13 = o + 2*m. Suppose -2*w = -7*w + 2*y + 7, -5*w = -3*y - o. What is the remainder when w is divided by 2?
1
Suppose 5*s + 4*i - 3*i = 135, 2*i + 42 = 2*s. What is the remainder when 77 is divided by s?
25
Suppose 5*x + 30 = -3*f + 4*f, f - 34 = x. Let o be ((-46)/3 - 1)*-3. Suppose -o = -3*n + 5. What is the remainder when f is divided by n?
17
Let w(h) = -3*h**3 - h + 2. Let m = 12 - 2. What is the remainder when w(-2) is divided by m?
8
Calculate the remainder when (-112 + 1)*3/(-9) is divided by 13.
11
Let a(q) = q + 5. Let j = 0 + -5. Let o be a(j). Suppose 3*h - 92 - 73 = o. What is the remainder when h is divided by 19?
17
Let k be 1*(9/3)/(-3). Let d be (k + 2)/((-6)/(-36)). Let l = 0 + d. Calculate the remainder when 11 is divided by l.
5
Let y(m) = m**2 - 3*m - 2. Let w be y(4). Suppose -4*h + 3*x = -47, w*x - 1 = -11. Calculate the remainder when h is divided by 3.
2
Suppose 5 = 4*u - 7. What is the remainder when 7 is divided by u?
1
Let g = -43 - -52. Calculate the remainder when 16 - (0 - -1)*0 is divided by g.
7
Let g = 102 + -31. Suppose -2*x - 2 = -4. Calculate the remainder when g is divided by 15 + 0 - -3*x.
17
Suppose 4*g - 37 - 23 = 0. Let y = 21 - 13. Let c(b) = -b**3 + 8*b**2 + 3*b + 5. Calculate the remainder when c(y) is divided by g.
14
Let b(j) = 12*j**3 - 2*j**2 + 3*j - 3. Calculate the remainder when b(2) is divided by 23.
22
Let k = -11 + 23. Suppose 0 = -0*g + 2*g + k. What is the remainder when (1/2)/((-1)/g) is divided by 2?
1
Suppose -215 = -5*z + 235. Suppose 3*w - 120 = -4*b + 6*w, -4*w + z = 3*b. Calculate the remainder when b is divided by 8.
6
Let q(i) = 2*i**3 + 2*i**2 - i. Let p be q(-2). Let c = -4 - p. Suppose 64 = 3*h - c*t, h + 2*t - 15 = 9. What is the remainder when h is divided by 12?
10
Let i = 68 + -34. What is the remainder when i is divided by 14 - (1 + -2)*-2?
10
Let c = 138 - -21. What is the remainder when c is divided by 20?
19
Let u(c) = -c**3 + 14*c**2 - 8*c + 5. What is the remainder when u(13) is divided by 24?
22
Suppose 0 = 3*x - 168 + 18. Suppose -68 = v - 5*v. What is the remainder when x is divided by v?
16
What is the remainder when (-8)/(-14) - 450/(-70) is divided by 3?
1
Let t(m) = m**2 - 4*m. Let x be t(5). Suppose 4*s - 5*q - 101 = 0, 2*q = x*s - 0*q - 105. What is the remainder when 54 is divided by s?
16
What is the remainder when 7 is divided by (-21)/(-14) - 2/(-4)?
1
Suppose -a = -3*p + 182, -4*p + p + 170 = 5*a. Suppose 4*g + 37 = 2*v - 11, 5*v + 2*g = p. Calculate the remainder when 40 is divided by v.
12
Let o(t) = t**3 + 20*t**2 + 5. Calculate the remainder when 6 is divided by o(-20).
1
Suppose 19 = 5*z + 4. Let y(o) = 2*o**3 - 2*o**2 + 4. Calculate the remainder when y(z) is divided by 11.
7
Let s = -8 - -4. What is the remainder when (s + 2)*(-26)/4 is divided by 4?
1
Let a be (0 - -2)/(2 + -1). Suppose 4*x + a*h - 50 = 0, -2*h - 2 = -0*h. Calculate the remainder when x is divided by 8.
5
Let r(u) = -u + 32. Calculate the remainder when r(19) is divided by 8.
5
Suppose 4*z - 21 + 1 = 0, 2*y - 3*z = 1. Calculate the remainder when 2 is divided by (y/14)/(4/14).
0
Suppose -5*i + 12 = -2*i. Let v(s) = 2*s - 7. What is the remainder when 1 is divided by v(i)?
0
Suppose 95 = 2*h - 57. What is the remainder when h is divided by 20?
16
Suppose -5*j - 4*k + 41 = 0, 3*j = 3*k + 1 + 2. Let c = j + -3. Calculate the remainder when c/(-8) - 101/(-4) is divided by 13.
12
Calculate the remainder when (-13 + -2)*(69/(-9) + -1) is divided by 33.
31
Let x be 0 - (0 + 1) - -18. Suppose 5*y - 8 = x. Suppose -14*d = -12*d - 4. What is the remainder when y is divided by d?
1
Suppose -1008 = -7*c - 280. What is the remainder when c is divided by 18?
14
Let w(u) = -u**3 + 4*u**2 + 4*u + 5. Let n be w(5). Suppose -2*m + 14 = -n. Calculate the remainder when 12 is divided by m.
5
Let f(p) = -p**3 + 5*p**2 + 5*p + 8. Let h be f(6). Suppose -l + 0*n + n + 25 = 0, h*l = n + 48. Calculate the remainder when 68 is divided by l.
22
Let a = -6 + 22. Let w(f) = -f + 39. Let x be w(0). Suppose 3*b + 0*o + 3*o = x, 5*o = -b + 29. Calculate the remainder when a is divided by b.
7
Suppose 3*t + h + 2 = 4, 0 = 5*t + 3*h - 10. Calculate the remainder when -16*(3/(-2) - t) is divided by 3.
2
Let g = 16 + -1. Let y(x) = -x. Let o(v) = -5*v + 2. Let q(l) = o(l) - 4*y(l). What is the remainder when g is divided by q(-6)?
7
Let s(c) = c**3 + 12*c**2 - 15*c - 18. What is the remainder when 21 is divided by s(-13)?
5
What is the remainder when 43 is divided by 26/169 - 386/(-26)?
13
Suppose 21*w - 25*w = -188. Let q(m) = m**3 - m**2 - 2*m + 4. What is the remainder when w is divided by q(3)?
15
Let x = 126 - 54. Suppose -2*u - 21 = -g, -u = 4*g - 3*u - x. What is the remainder when g is divided by 6?
5
Suppose m + 22 = 5*a - 10, 5*a + m - 38 = 0. Suppose 4*d - 45 = -d. Let g = d + a. Calculate the remainder when 46 is divided by g.
14
Calculate the remainder when 13*(3 - -3) + 1 is divided by 20.
19
Suppose 0*q = -q + 3*v + 11, 2*v = -10. Let p = -1 - q. Suppose p*n = n, -3*a + 6 = -5*n. Calculate the remainder when 2 is divided by a.
0
Let g(x) = -29*x - 7. Let v be g(3). Let u = v + 146. What is the remainder when u is divided by 14?
10
Let t(i) = -i**3 + 3*i**2 + 4*i - 1. Let x be t(4). Suppose -3*q - 42 = -2*g, 2*q + 5 = -3. Let c = g - x. Calculate the remainder when 47 is divided by c.
15
Let c = -10 - -13. Suppose -c*r + 12 = 0, -2*r + 185 = -0*f + 3*f. What is the remainder when f is divided by 20?
19
Suppose 5*h = 5*u - 15, -4*u + 7 = 2*h - 17. Suppose -h*m = m - 6. Suppose 3*r - 330 = -m*r. What is the remainder when r is divided by 17?
15
What is the remainder when 3 - -3*(-30)/(-9) is divided by 5?
3
Let k(n) = 5*n**3 - n**2. Suppose x - 2*x = -1. Let q be k(x). Suppose 55 + 129 = q*c. What is the remainder when c is divided by 16?
14
Let u = -94 - -171. Calculate the remainder when u is divided by 16.
13
Let t be 4 + -1 + 1 + 14. Suppose 0 = 3*i - t - 96. What is the remainder when i is divided by 10?
8
Let t(o) = o**3 + o**2 + o + 11. What is the remainder when t(0) is divided by 2?
1
Let m(u) = u**3 - 7*u**2 - 8*u - 1. Let v be m(8). Calculate the remainder when 4 is divided by (-4 - 2)/(-3) - v.
1
Let a = 1 + 74. What is the remainder when a is divided by 19?
18
Let t be (-6)/(-15) + 122/(-5). Let o be 1/1 - (-2 + -65). Let k = o + t. Calculate the remainder when k is divided by 23.
21
Suppose -113 = -0*n - 2*n - w, -5*n - 3*w + 283 = 0. Suppose -2*a + n + 172 = 0. What is the remainder when a is divided by 29?
27
Suppose -5*j = -1 - 19. Let y(l) = 2*l + 5. Suppose -5*q - 133 = -4*a - 2*q, -q = 4*a - 153. What is the remainder when a is divided by y(j)?
11
Suppose 0 = 2*s + y - 41 + 7, 34 = 2*s - 4*y. Suppose s - 5 = -z. What is the remainder when (-138)/z - 2/(-4) is divided by 7?
5
Suppose -5*y = -2*y - 3. What is the remainder when 1/((15/9)/5) is divided by y?
0
Let x(m) = -m**3 - 5*m**2 - 4*m + 2. Let j(k) = 5*k + 8 + 0 + 0 - k**2. What is the remainder when j(6) is divided by x(-4)?
0
Suppose -5*s + 3*s = 36. What is the remainder when 19 is divided by ((-30)/s)/(1/3)?
4
Suppose 3*p + 30 = -3*q, 0 = 3*q + 2*q - 3*p + 10. Let r(f) = -f**3 - 5*f**2 - 3*f - 6. What is the remainder when 25 is divided by r(q)?
7
Let d(i) = -i - 6. Let u be d(-3). Let q = u + 6. What is the remainder when 9 is divided by q?
0
Let q(w) be the second derivative of w + 0 - 1/6*w**3 + 11/2*w**2 - 1/20*w**5 + 1/12*w**4. What is the remainder when 20 is divided by q(0)?
9
Let s(a) = a**2 - 7*a + 7. Let v be s(7). Suppose -4*y - 20 = -3*p, -v*y - 25 = -5*p - 2*y. Calculate the remainder when 53 is divided by 1 - 17/(p + -1).
17
Suppose 0 = 2*c - 0*c - 26. What is the remainder when 38 is divided by c?
12
Let l = 1 + -1. Suppose l = 3*z - 6*z - 48. Calculate the