 a. Calculate the remainder when 17 is divided by b.
8
Suppose -2*p - 28 = -112. What is the remainder when 165 is divided by p?
39
Suppose -18 = -k + 13. What is the remainder when k is divided by 19?
12
Let p be (-2)/(-6) + 5/3. Let y(k) = 2 - p*k - 2 + 7. Calculate the remainder when y(-8) is divided by 8.
7
Let s(r) = -8*r. Let o be s(5). What is the remainder when 46 is divided by ((-54)/45)/(3/o)?
14
Calculate the remainder when (-3)/2*1680/(-63) is divided by 15.
10
Suppose -3*v - 4 = 5, -3*x + v + 60 = 0. Let t be (-3)/6 + 3/(-2). Calculate the remainder when x is divided by 7 - (t + (-6)/(-3)).
5
Suppose 18*c - 1838 - 1186 = 0. Calculate the remainder when c is divided by 13.
12
Suppose -2*p = -5*s - 12, 2*p + p - 18 = 4*s. Suppose i - 11 = p. Calculate the remainder when 32 is divided by i.
15
Suppose u = 6*u - 70. Let y be (0 - 0/3) + 120. Suppose -h = 2*h - y. What is the remainder when h is divided by u?
12
Suppose -3*w + 5*w = 12. Suppose 0 = -l + w*l + 10. What is the remainder when 36 - (0 + l + 3) is divided by 18?
17
Let r be (1 + 3/(-9))*30. What is the remainder when 3/(-3)*19/(-1) is divided by (r/(-6))/(2/(-6))?
9
Suppose -i + 15 = k, 2*k - 2*i - 2*i = 12. Let r = k + -10. What is the remainder when r is divided by 2?
0
Let h = -19 - -36. Suppose b + 16 = 3*b - 3*j, -3*b + j + h = 0. Calculate the remainder when 7 is divided by b.
2
Let v(d) = 6*d**3 + 11*d**2 + 4*d + 10. Let x(q) = q**3 + q**2 + q + 1. Let m(z) = v(z) - 5*x(z). What is the remainder when m(-6) is divided by 3?
2
Let w = -6 - -20. Let o(c) = c**3 - 9*c**2 - 10*c + 39. What is the remainder when o(10) is divided by w?
11
Suppose -d + 0*d = -3*n + 20, 0 = -n - d + 4. Suppose 5 = -5*o, -2*a = -n*a + 2*o + 110. What is the remainder when 51 is divided by a?
24
Let y(x) = -x + 24. What is the remainder when y(0) is divided by 13?
11
Let j(r) = -2*r + 2. Calculate the remainder when 47 is divided by j(-4).
7
Let y = -1 + 69. What is the remainder when y is divided by 36?
32
Let t(g) = 4*g - 1. Let y be t(1). Let l(i) = 35 - 7*i + 0*i**3 + 8*i - i**y. What is the remainder when l(0) is divided by 12?
11
Let z = -13 + 16. Suppose r + z*k - 7 = 0, -5*r + r = -3*k - 13. Calculate the remainder when 5 is divided by r.
1
Suppose 42 = 4*i - 4*k + 2, 0 = 3*i - 4*k - 31. Suppose -r + i + 8 = 0. What is the remainder when r is divided by 9?
8
Let y(f) = 4*f**3 - 6*f**2 + 8*f - 1. Calculate the remainder when y(3) is divided by 26.
25
Let f = 116 - 6. Calculate the remainder when f is divided by 28.
26
Let t(c) = -3*c + 7. What is the remainder when 37 is divided by t(-2)?
11
Suppose -q - 2*q = 0. Suppose 5*r + 5*z - 35 = q, -z - 24 = -3*r + 9. What is the remainder when 17 is divided by r?
7
Suppose 3*o - 75 + 12 = 0. What is the remainder when (-12)/(-9)*o - 0 is divided by 10?
8
Suppose 4*o - 43 = 5*f - 124, -2*f + 34 = -2*o. Calculate the remainder when 49 is divided by f.
10
Suppose 6*z = 5*z - 35. Let d = z + 6. Let p = -12 - d. Calculate the remainder when p is divided by 6.
5
Suppose 0 = -2*b - a + 18 - 4, 5*b - 35 = 2*a. Calculate the remainder when 11 is divided by b.
4
Suppose -2*l = -13 - 13. What is the remainder when l is divided by 5?
3
Let h = 4 + -5. Suppose s = 2*z + 5*s - 8, 3*z + 3*s = 24. Calculate the remainder when z is divided by 35/(-10)*2/h.
5
Suppose -2*w = -5*r + 45, -r - w = -2*w - 9. What is the remainder when 14 is divided by r?
5
Let m(i) = 3*i**2 + 2*i. Suppose -83 = -5*x - 2*a, 5*x + 34 = 7*x + a. What is the remainder when x is divided by m(-2)?
7
Let i(w) = 5*w - 3. What is the remainder when i(10) is divided by 12?
11
Suppose 0 = -3*w + w + 552. Suppose 2*v + w = 6*v. Calculate the remainder when v is divided by 36.
33
Suppose -20 = v - 4*x, -v - 30 = v + 2*x. Let a = v - -26. Suppose 0 = -i + a - 2. Calculate the remainder when 30 is divided by i.
6
Let t(f) = -4*f**3 + 2*f**2 + 5*f + 4. What is the remainder when 12 is divided by t(-1)?
2
Let d be (-4 - -2) + (-1 - -23). Suppose 2*j = j + d. Suppose 0 = -g - 0*g + 7. What is the remainder when j is divided by g?
6
Let w = 19 - 15. What is the remainder when 9 is divided by w?
1
Let m(g) = 2*g**2 + 7*g + 6. Suppose -9*z + 10*z = 213. Suppose z = 5*d + 73. What is the remainder when d is divided by m(-4)?
8
Suppose -3*k + 5*v + 197 = 0, -2*v + 13 = -5*k + 316. Calculate the remainder when k is divided by (-266)/(-18) - (-8)/36.
14
Let f = -10 - -5. Let a = f + 3. What is the remainder when ((-7)/a)/(4/16) is divided by 8?
6
Let k = 178 - -31. What is the remainder when k is divided by 42?
41
Suppose -16 - 28 = -4*p. Suppose -p = -r - r + 3*c, -4*r - c + 57 = 0. What is the remainder when 24 is divided by r?
11
Let x(h) = -h**3 + 10*h**2 - 16*h + 3. Let o = 5 - 4. Calculate the remainder when x(8) is divided by o.
0
Let n = -17 - -111. What is the remainder when n is divided by 12?
10
Suppose 0*r + 3*r + 2*j = 32, -2*j = -4*r + 52. Suppose 2*m + 7 = 1. Calculate the remainder when 32 - -1 - (m + 1) is divided by r.
11
Let a be (48 - 2)/(6/(-9)). Let w = a + 116. Suppose -4*j + 5*b = -9*j + 130, 0 = -5*j + 5*b + 110. Calculate the remainder when w is divided by j.
23
Suppose -5*s = -19 - 171. Let l = s + -19. Calculate the remainder when l is divided by 11.
8
Suppose 3*o - 5 = 5*x - o, -2*x = 2*o + 20. Let m = x + 9. What is the remainder when m is divided by 2?
0
Let h = 0 - 0. Suppose h = 4*k + k - 60. Let z(w) = w**2 + 3*w + 30. Calculate the remainder when z(-4) is divided by k.
10
Suppose 0 = -5*f - 5*d + 305, 0 = -3*f + 5*d + 143 + 56. What is the remainder when f is divided by 17?
12
Let n = 57 - 44. Let a(c) = 13*c - 1. What is the remainder when a(2) is divided by n?
12
Suppose -o = 5*r + 7, 7*o + 11 = 2*o - r. Let j be (-3 + 4)/((-1)/o). Suppose 0 = -j*c + 8 + 30. Calculate the remainder when c is divided by 11.
8
Let t = 34 + -28. Calculate the remainder when 29 is divided by t.
5
Let x = -22 + 36. Calculate the remainder when x is divided by 4.
2
Suppose -3*j + 41 - 8 = 0. Suppose 2*n + 0*n = 4*y - 88, 5*y - 80 = -5*n. What is the remainder when y is divided by j?
9
Suppose 16 = 2*n - n. Let g = 26 + 4. Calculate the remainder when g is divided by n.
14
Let s(m) = m**2 - 16*m + 20. Suppose -3*u = -2*q + 20, -4*u + 35 = 4*q - 45. What is the remainder when (-150)/(-4) - 4/(-8) is divided by s(q)?
18
Suppose 2*m - 3*m + 1 = 0, 5*a + 5*m = 80. What is the remainder when 40 is divided by a?
10
What is the remainder when (((-16)/12)/4)/((-2)/330) is divided by 8?
7
Let o = 56 + -28. Let r = 18 - 8. What is the remainder when o is divided by r?
8
Let u(v) = -v**3 - 9*v**2 + 11*v + 11. Let h be u(-10). Suppose 3 = -2*n + h. What is the remainder when 9 is divided by (-3)/(n - 2) + 4?
4
Suppose 9*u = 5*u + 8. Suppose -4*n + 5 = -3*t - 14, 2*n - 8 = u*t. Let k = -5 + 8. What is the remainder when n is divided by k?
1
Suppose -21 = -o + 3. What is the remainder when o is divided by 9?
6
Let d(y) = 6*y**2 + 4*y + 2. Calculate the remainder when 70 is divided by d(-2).
16
Suppose 2*h + 1 + 4 = -5*t, 0 = 2*t + 6. Suppose 4*w + 5*v - v - 224 = 0, -v - 310 = -h*w. What is the remainder when w is divided by 32?
29
Suppose 24 = 4*a - 8. What is the remainder when 15 is divided by a?
7
Suppose -3*c = -2*y + 4*y - 15, 3*c = 2*y - 45. Calculate the remainder when (-87)/((-6)/8*2) is divided by y.
13
Let j(l) be the second derivative of -10*l**3/3 + l**2 - 2*l. What is the remainder when j(-2) is divided by 15?
12
Let l(g) = g - 1. Let h be l(5). Suppose d - h*d + 198 = 0. Suppose -26 = -4*q + d. What is the remainder when q is divided by 12?
11
Suppose s = 4*g + 5, 5*g - 20 = -s + 12. Let i = -3 + 11. Let j = s - i. Calculate the remainder when 25 is divided by j.
7
Let u = 39 - 29. Calculate the remainder when 42 is divided by u.
2
Suppose 36 = -4*w + 4*j, -w - 2*j = -0*w - 3. Let v(o) = o - 4. What is the remainder when (-1)/((2/w)/2) is divided by v(6)?
1
Let m(j) = -17*j - 1. Suppose 0*i + 5*i - 310 = 0. Suppose 4*n - i = 2*n. What is the remainder when n is divided by m(-1)?
15
Let m(b) = 6*b**2 + b - 4. Let x = 9 + -9. Suppose -v + 3*v + 4*j - 2 = x, 4*v - j = 13. Calculate the remainder when m(v) is divided by 18.
17
Let j(h) be the third derivative of h**6/120 - 11*h**5/60 + h**4/24