der when a is divided by 6.
4
Let i(w) = w**2 - 4*w - 7. What is the remainder when 40 is divided by i(7)?
12
Let y(k) = -k**2 - 9*k - 11. What is the remainder when 48 is divided by y(-6)?
6
Suppose -80 = -3*d - d + 4*b, 3*b = -15. Calculate the remainder when 27 is divided by d.
12
Let r = -6 + 13. What is the remainder when r is divided by 2?
1
Suppose -2*u + 2*m + 12 = 0, -12 = -4*u + 2*m + 6. Suppose -4*x + 9*x - 160 = 0. Suppose x + 16 = u*k. What is the remainder when k is divided by 9?
7
Let s(u) = -u + 4. Let f be s(6). What is the remainder when 1057/63 + f/(-9) is divided by 9?
8
Let q = 180 + -118. Calculate the remainder when q is divided by 8.
6
Suppose -2*t + 2*w - 58 = -5*t, -4*w = 3*t - 56. What is the remainder when t is divided by 6 - (0 - 1 - 0)?
6
Suppose n - 4*n + 54 = 0. Calculate the remainder when 89 is divided by n.
17
Suppose -l = -6 - 9. Calculate the remainder when 43 is divided by l.
13
Let w(l) be the first derivative of -5*l**4/4 + 2*l**3/3 + l**2/2 + 7. Calculate the remainder when w(-1) is divided by 3.
0
Suppose -64 = 2*i + 2*i. Calculate the remainder when (-3)/(6/4) - i is divided by ((-12)/10)/((-24)/160).
6
Let i(h) = -h**2 - 12*h - 8. Calculate the remainder when 54 is divided by i(-9).
16
Suppose 346 = 5*d - p, -111 - 24 = -2*d - 3*p. What is the remainder when 133 is divided by d?
64
Let u(s) = s**3 + 5*s**2 - 7*s - 9. Let z be u(-6). Let p(m) = -m**3 - 2*m**2 + 3. What is the remainder when 21 is divided by p(z)?
9
Let f = 39 - 17. Calculate the remainder when f is divided by 12.
10
What is the remainder when 9/(-12) - (-2 + 1228/(-16)) is divided by 16?
14
Suppose -8*g + 210 = 7*g. What is the remainder when 40 is divided by g?
12
Let k = -8 - 10. Let w = k + 27. Calculate the remainder when w is divided by 5.
4
Let f(g) = -2*g + 4. Let p(w) = w**3 + 7*w**2 + 6*w - 6. Let t be p(-6). Let l(h) = 4*h**2 + 4*h + 6. Calculate the remainder when l(-3) is divided by f(t).
14
Let n = -19 - -18. Let a = n - -13. What is the remainder when a is divided by 5?
2
Suppose 60 = 2*a + 3*a - h, 0 = 5*a + 4*h - 85. What is the remainder when 102 is divided by a?
11
Let v be (-1 + 4)*(11 - 10). Suppose m - v*h = 25, m + 7*h - 1 = 4*h. Calculate the remainder when 50 is divided by m.
11
Let h = 33 - 20. Let w = 18 - h. Calculate the remainder when 8 is divided by w.
3
Suppose t - 50 - 71 = 0. Let c = t - 70. Calculate the remainder when c is divided by 18.
15
Let s = -72 + 132. Calculate the remainder when ((-2)/(-5))/(6/s) is divided by 4*(1 + (-1)/2).
0
Suppose 5*c - s = 197 + 97, -234 = -4*c + 2*s. Calculate the remainder when c is divided by 10.
9
Suppose 2*f + 3*f - w - 50 = 0, 0 = w. What is the remainder when 17 is divided by f?
7
Let c = -6 + 10. Suppose 3*g - 48 = -c*t, 6*t - 3*t - 33 = -2*g. What is the remainder when 23 is divided by g?
11
Let a be (-12)/8 + 110/4. Suppose 4*b = 2*b - a. Let q = -8 - b. Calculate the remainder when 9 is divided by q.
4
What is the remainder when 6/(-3) - (-39 - 0) is divided by 5/((-25)/10) + 21?
18
Suppose -7 = -h - 0. Let o = h - 5. Suppose o*p = 4*p - 36. What is the remainder when 34 is divided by p?
16
Suppose 4*u + 3*q - 23 = 0, -2*u + 3*q + 0 = -7. What is the remainder when u is divided by (-192)/(-104) + (-4)/(-26)?
1
Calculate the remainder when (189/(-12))/(9/(-4) + 2) is divided by 22.
19
Let i(u) = -8*u + 4. Calculate the remainder when 32 is divided by i(-1).
8
Let c be (-2 - -2)/(-1) + 2. Suppose 4*j - 10 = 5*g, -3*g - 4 - 2 = c*j. Suppose j = -4*n + 2 + 114. Calculate the remainder when n is divided by 10.
9
Let g = -4 + 22. Let t(l) = -8*l + 5. Let z be t(3). Let w = z + 24. What is the remainder when g is divided by w?
3
Let u(y) = -7*y**3 - y - 3. Suppose -5*b - 5*r = 10, 0 = -2*b - 5*r - 4 - 0. What is the remainder when u(b) is divided by 14?
13
Suppose 0 = -g - 2*g. Suppose -3*l + l + 36 = g. Suppose -5*q + 240 = 5*a, 0*q = 4*a + q - 201. Calculate the remainder when a is divided by l.
15
Let n(l) = 3*l - 5. What is the remainder when n(5) is divided by 4?
2
What is the remainder when (-1)/1*(-4 + (9 - 193)) is divided by 21?
20
Let k(y) be the third derivative of -y**4/8 - y**3/6 - y**2. Calculate the remainder when k(-6) is divided by 9.
8
Suppose -r = -5*r - 16. Let x = -30 - -51. What is the remainder when x is divided by 99/6*r/(-6)?
10
Let k = 59 - 29. Let y = 12 + -7. Let z(o) = -o**2 + 5*o + 11. What is the remainder when k is divided by z(y)?
8
What is the remainder when ((-8)/6)/((-4)/114) is divided by 20?
18
Suppose -13 = -n + 2. Let m be 6/4*4/3. Calculate the remainder when n is divided by 17/m - 1/2.
7
Let r be 31 + (-5 - (1 + -4)). Suppose 5*f + r = -2*k + 620, 2*k - 472 = -4*f. What is the remainder when f is divided by 30?
29
Suppose 0*o - o = r - 45, -153 = -3*r + 3*o. Let n = -22 - -30. What is the remainder when r/28*(n - 1) is divided by 7?
5
Let p = 7 - -6. Suppose u + p = -4*q + q, 5*q = 5*u + 5. Calculate the remainder when 25 is divided by (u - 0 - -3)*-7.
4
Suppose 0 = 4*h - t + 123, h + 5*t + 57 = -0*h. Let l be 116/(-10) - 4/10. Calculate the remainder when 11 is divided by (h/l)/(4/6).
3
Suppose 0*c = -c. Suppose c*j - 14 = -j + h, -8 = -2*h. Calculate the remainder when j is divided by 7.
4
Let i(j) = j**2 - j. Let q be i(-3). Suppose 0 = 5*u - 4*c - c - 20, -q = -5*u - 3*c. What is the remainder when u is divided by 2?
1
Let j(q) = 16*q + 2. Let b be j(-1). Let w = -11 - b. What is the remainder when 14 is divided by w?
2
Suppose -9 = 5*o - 24. Suppose 2*u + 16 = -o*l, 4*l - u + 3*u = -22. What is the remainder when (-4)/l - 201/(-9) is divided by 12?
11
Suppose 4*j - 20 = -3*z, -z - 7*j = -2*j + 8. Suppose 4*m - 2 = 3*m. Calculate the remainder when (-1 - m/8)*-28 is divided by z.
11
Suppose a + k = 4*k - 1, -2*k = a - 24. Suppose 2*r = 12 + a. Calculate the remainder when 23 is divided by r.
10
Let a = 29 + -50. Let o = -9 - a. What is the remainder when 46 is divided by o?
10
Let h(c) = c**3 - 5*c**2 - 6*c - 17. What is the remainder when h(7) is divided by 22?
17
Let p = -8 - -12. What is the remainder when 31 is divided by 16 - p/12*0?
15
Suppose -4*w + 0*w - 7 = -5*x, -3*x + 13 = 2*w. Let u be (-2 + 99)/(w - 1). Let f = u + -48. What is the remainder when f is divided by 17?
15
Suppose 6*d - 3*d = 0. Suppose 3*c - 3*p - 27 = d, -2*p - 7 = 1. Suppose 5 = -5*t, 2*t + 17 = 2*z + c. Calculate the remainder when 9 is divided by z.
4
Let f(b) = b**3 + 30*b**2 - 10*b - 54. What is the remainder when f(-30) is divided by 63?
57
Let x(s) = s**2 + 4*s + 3. Suppose j = 4*j + 18. Let g be x(j). Suppose 2*q = 61 - g. What is the remainder when q is divided by 12?
11
Suppose 0 = 2*k - 100 + 10. Let c = 70 - k. Calculate the remainder when c is divided by 13.
12
Suppose -m = -0*m - 13. Let c = 4 + 0. Suppose 51 - 147 = -c*n. Calculate the remainder when n is divided by m.
11
Suppose 4*s + 0*u - 169 = 3*u, -2*s - 2*u + 88 = 0. Let d = 44 - 22. Calculate the remainder when s is divided by d.
21
Let y(j) = j + 29. What is the remainder when 57 is divided by y(-8)?
15
Calculate the remainder when 45 is divided by (-1 + 10)/((-6)/(-8)).
9
Let a = -5 + 13. Suppose a = 3*l - 31. Let r(v) = 2*v**2 - 2*v - 7. Calculate the remainder when l is divided by r(3).
3
Let h = -2 - -7. Suppose b = i - 3*b - 18, h*i = -b + 48. Calculate the remainder when i is divided by 4.
2
What is the remainder when 46/8 + 16/64 is divided by 5?
1
Let x(z) = z**2 - 8. Suppose 2*b + 18 = -2*o, -b - b = -4*o + 6. Let f(t) = t**3 + 2*t**2 - 2. What is the remainder when x(b) is divided by f(2)?
13
Suppose -4*m = -2*y + 2, 0 = 3*y - 2*y + 5*m - 29. Calculate the remainder when 62 is divided by y.
8
Let m = -5 + 7. Suppose 7*h - 15 = 2*h. Suppose -2*v + 8 = 2*r, m*r - 2 = h*r. Calculate the remainder when 16 is divided by v.
4
Let j = -38 - -44. Suppose 0 = 2*b + 5 - 21. Let q(y) = -y + 12. Calculate the remainder when j is divided by q(b).
2
Suppose -6*k = -3*k - 72. Let h(g) = -g**3 + 5*g**2 - g - 2. What is the remainder when k is divided by h(3)?
11
Let v = 27 - 9. Suppose b - 6 = d, 5*b - 38 = 3*d - 0*d. What is the remainder when v is divided by b?
8
Suppose 0 = 13*b + 108 - 264. Suppose -9 = -k + 3*g, 3*k + g = 8*k - 101. What is the remainder when k is d