k, -u*s = k - 46. Calculate the remainder when 2/(-8) - (-201)/4 is divided by s.
16
Suppose -5 = 4*w + 3, 5*l + w - 143 = 0. What is the remainder when l is divided by 16?
13
Let l = -3 - -6. Calculate the remainder when l is divided by 1.
0
Let a = 35 - 82. Let c = a - -66. Let o = -28 - -65. Calculate the remainder when o is divided by c.
18
Let b(x) = x**3 + 10*x**2 - 15*x + 9. What is the remainder when b(-11) is divided by 27?
26
Let d = -4 + 6. Suppose 3*j + d*j - 60 = 0. What is the remainder when 23 is divided by j?
11
Let a(j) = -j**3 + 7*j**2 - 4*j - 7. Let c = -10 + 22. Calculate the remainder when a(5) is divided by c.
11
Let j be (-7)/(-9) + 2/9. Let m(f) = 8*f**2 - f + 1. What is the remainder when m(j) is divided by 5?
3
Let a be 2 + -3 + -3 + 6. Suppose -5*c + 24 = u - c, 3*u - 44 = a*c. Calculate the remainder when 30 is divided by u.
14
Suppose 3*i - i = -3*c - 9, 4*c = -i - 2. Let l(k) = k**3 + 6*k**2 - 4*k - 1. What is the remainder when 90 is divided by l(i)?
21
Let m(z) = -18*z**3 - z**2 - 3*z - 2. Let k be m(-1). Suppose -14*h - 32 = -k*h. Calculate the remainder when 13 is divided by h.
5
Suppose -4*d + 3*d - 1 = 0. Let l = -12 - -20. Calculate the remainder when l is divided by 2 + d + -3 + 7.
3
Suppose 0 = -3*f - 6, -5*a = -2*a + f - 16. Calculate the remainder when 18 + -1 + 0 + 0 is divided by a.
5
Suppose -17 = -4*b + 59. Suppose -b = -x - 0. Calculate the remainder when 55 is divided by x.
17
Suppose 5*o = 3*d - 2 - 0, 3*o - 22 = -4*d. What is the remainder when 4/10 + 146/10 is divided by d?
3
Suppose -s - 66 = -4*s. What is the remainder when 4/s + 394/11 is divided by 13?
10
Let m(y) be the third derivative of y**5/30 - y**4/6 - y**3/2 + 7*y**2. What is the remainder when m(4) is divided by 5?
3
Suppose -5*x - 27 = -v, -124 = -2*v + x - 25. Suppose -5*z = 5*f - f - v, f = -5*z + 43. What is the remainder when 15 is divided by z?
7
Suppose -3*n + 2*n = -14. Let x = 24 - n. Suppose -q - 3*q + 112 = 0. What is the remainder when q is divided by x?
8
Suppose -j + 8 - 1 = 0. What is the remainder when 13 is divided by j?
6
Let p(c) = -c**3 + 5*c**2 + c - 3. What is the remainder when 1*(-2)/(-3)*9 is divided by p(5)?
0
Suppose -7 = -2*q + q. What is the remainder when 12 is divided by q?
5
Let v be (-2)/(-1*(-4)/(-10)). Suppose v*y = -0*l - 3*l + 49, 25 = 5*y. Let m(k) = k**2 - 14*k + 3. What is the remainder when l is divided by m(14)?
2
Let p(l) = l**2 - 8*l - 1. What is the remainder when p(11) is divided by 18?
14
Let n(k) = -9*k + 4. What is the remainder when n(-4) is divided by 14?
12
Let i(f) = 4*f. Let r(v) = -v**2 - 8*v - 5. What is the remainder when i(7) is divided by r(-5)?
8
Suppose -83 = -5*d - 3. What is the remainder when 46 is divided by d?
14
Suppose -4*h + 5 = -2*n - 1, -3*n + 3 = 0. Suppose -h = 4*r - 2*b, -4*r + 19 = 6*b - b. Calculate the remainder when r is divided by (-2 - -3)*-1 - -2.
0
Let c = 153 + -102. What is the remainder when c is divided by 27?
24
Let y(o) = -12*o - 3. Calculate the remainder when y(-3) is divided by 9.
6
Let b = 27 + -13. Suppose 5*g = 2*s - 0 + 54, -b = -2*g - 3*s. Let p = 73 - 44. What is the remainder when p is divided by g?
9
Let z be 18*(6/9)/2. Suppose 3*b + z = 15. Suppose -2*m + 30 = m - 2*k, 5*m + b*k - 50 = 0. Calculate the remainder when 28 is divided by m.
8
Suppose -z + 50 = -2*x, 3*z - z = -3*x + 79. What is the remainder when z is divided by 23?
21
Let r = 7 - 5. Suppose -r*b - 66 = -2*y, -y - 3*y + 120 = -b. What is the remainder when y is divided by 10?
9
Let j = -93 + 136. Calculate the remainder when j is divided by 13.
4
Let n(o) = o + 1. Let l be n(1). Suppose 0 = f - 11 + l. Suppose f*d = 4*d + 55. What is the remainder when 31 is divided by d?
9
Suppose -q + 156 + 282 = 0. Suppose 3*l = 5*w + 5*l - q, -4*l = -5*w + 414. What is the remainder when w is divided by 29?
28
Let m(d) be the third derivative of -7*d**4/24 - 5*d**3/6 + 5*d**2. Let y be ((-1)/2)/((-2)/(-20)). Calculate the remainder when m(y) is divided by 16.
14
Suppose -23 + 8 = -5*w. Suppose u + 4 = 2*j - 3, -j = -w*u + 4. Suppose 28 = j*q + 8, q + 68 = 4*p. Calculate the remainder when 53 is divided by p.
17
Let b be 24/(-4) + 1*3. Let y be -1 + 2 + (-9)/b. Suppose -3*r - 46 = -4*n - 17, -5*r + 5 = y*n. What is the remainder when 18 is divided by n?
3
Let h(l) = -l**3 - 10*l**2 - 22*l + 6. Calculate the remainder when 17 is divided by h(-7).
4
Suppose -4*f - 18 = -2*f - 3*w, 2*f + 5*w = -18. Let g = f - -5. Let o(i) = 3*i**2 - 1. What is the remainder when o(g) is divided by 16?
15
Let n(v) = -v + 1. Suppose -4*j = -3*j. Let p(k) = k**2 - 4*k + 2. What is the remainder when p(4) is divided by n(j)?
0
Suppose -2*c - 3 = -5*c. What is the remainder when (c - 75)*1/(-2) is divided by 13?
11
Let h be ((-12)/10)/(12/(-40)). Suppose 0 = 2*f + 2 - 24. What is the remainder when f is divided by (-3)/6*-2*h?
3
Let g(u) = -u + 10. Let d be g(8). Suppose -d*x + 23 = -x - 4*p, -p = 5. Suppose -x*b + 47 = 2. Calculate the remainder when 57 is divided by b.
12
Let v = 30 - 24. Suppose 0 = -l - 0 + v. Calculate the remainder when 11 is divided by l.
5
Let h be 8/2*21/(-28). Let x = 81 + -44. Calculate the remainder when x is divided by -21*2/h + -1.
11
Let m be (-2)/((-3)/48*2). Let v = -2 + m. What is the remainder when v is divided by 4?
2
Let i = 382 - 288. What is the remainder when i is divided by ((-38)/4)/1*-2?
18
Let j(s) = -s**3 - 12*s**2 + 4. Let n be j(-12). Let h = n + 0. What is the remainder when h is divided by 3?
1
Let h(o) = o**2 + 8*o - 16. Calculate the remainder when h(-11) is divided by 10.
7
Let c(t) = 2*t**2 - 3*t + 2. Let y be c(2). Let v(w) = w**3 - 4*w**2 + 2*w - 1. What is the remainder when v(y) is divided by 4?
3
Suppose -f + 3*v = -11, 4 = 2*v + 2. Suppose 2422 = 5*q - 358. What is the remainder when q/f - 6/(-21) is divided by 14?
12
Let p(i) = 9*i**2 + i - 1. Let f be p(1). Suppose -3*k + 0*k = -f. Suppose 2*c - 9 = -k. Calculate the remainder when c is divided by 2.
1
What is the remainder when -5 - 6/(30/(-775)) is divided by 17?
14
Suppose -5*c + 50 = -10. Calculate the remainder when 40 is divided by c.
4
Suppose -3*a = 5*d - 377, -4*d = -a - 430 + 125. Calculate the remainder when d is divided by 26.
24
Let i(t) = t**3 + 7*t**2 + 8*t + 11. Let k(d) = d - 18. Let b be k(13). What is the remainder when 82 is divided by i(b)?
19
Let x(t) = 2*t**2 - t - 18. Calculate the remainder when x(10) is divided by 35.
32
Let t = 23 + -38. Calculate the remainder when (-6)/t + (-126)/(-10) is divided by 7.
6
Suppose a - 12 = -0*i - i, 0 = 2*i + 5*a - 12. Calculate the remainder when 46 is divided by i.
14
Let q be (-175)/30 + 2/(-12). What is the remainder when (4/q)/(10/(-1095)) is divided by 25?
23
Suppose 2*v + 0*h - 65 = -3*h, -5*v = 5*h - 160. Suppose 2*l - v = -z - 3*l, 0 = 2*l - 10. What is the remainder when 17 is divided by z?
5
Let i(l) = l**3 + 7*l**2 + 6*l + 3. Let y = 2 + -2. Suppose 3*s - v = -3*v + 8, -4*v - 8 = y. What is the remainder when s is divided by i(-6)?
1
Suppose 0 = -3*x - x + 108. Suppose 3*w + 0*g - 4*g + 31 = 0, -3*w = g + 56. Let b = x + w. Calculate the remainder when 19 is divided by b.
9
Let b(t) = t**3 - 7*t**2 + 3*t + 10. Let r be b(7). Let u = -12 + r. What is the remainder when 2/(-9) - 2282/(-63) is divided by u?
17
Let k(i) = 2*i**2 - 2*i - 6. Suppose 3*x - v - 45 = -3, -3*x - 3*v = -42. What is the remainder when k(6) is divided by x?
12
Suppose 5*w = 3*n - 63, -3*n + n = 4*w - 20. Calculate the remainder when (3 - (-274)/(-10))*5/(-2) is divided by n.
13
Let p be (-1)/((-2)/(-3))*-2. What is the remainder when (62 - 1)/(p + -2) is divided by 21?
19
Let y(z) = -z**2 + 23*z + 88. Calculate the remainder when 45 is divided by y(26).
5
Let d(r) = r - 2. Let s be d(6). Let q(m) = m**2 - 5*m + 9. Calculate the remainder when (-2)/s + (-59)/(-2) is divided by q(6).
14
Let g be -2 + -1 + 70/10. Let o = 8 - g. Calculate the remainder when 6 is divided by o.
2
Let y = 8 + -6. Let s(d) = 3*d**2 + 3*d - 2. Let g(h) = -2*h + 17. Calculate the remainder when g(-15) is divided by s(y).
15
Let m = 83 + -38. What is the remainder when m is divided by 12?
9
Let u(x) = x**3 + 4*x**2 - x - 4. What is the remainder when u(2) is divided by 7?
4
Le