 + 4. Calculate the remainder when b(-2) is divided by 30.
26
Let r = 20 - 12. Suppose -4*s - r = 4*a, -5*s = -3*a + 5*a - 2. Suppose -3*j - 5*m + 37 = 0, 2*m + 0*m = -s. What is the remainder when 41 is divided by j?
13
Let p = 9 + -1. Suppose -18 = -l + 4*q, 0*l + p = l + q. Calculate the remainder when 19 is divided by l.
9
Let t = 98 - 76. Calculate the remainder when 41 is divided by t.
19
Let o = -18 - -23. Let v(a) = a**3 - 3*a**2 - 4*a - 6. Suppose 0 = 2*y - 2 - 16. What is the remainder when v(o) is divided by y?
6
Let l(b) be the second derivative of -b + 0*b**2 + 0 - 2/3*b**3. What is the remainder when l(-1) is divided by 3?
1
Let g = -11 - -27. Calculate the remainder when 29 is divided by g.
13
Suppose 5*z = 7*z. Suppose z = 2*f - 7 - 21. What is the remainder when 4*(-1)/(-6)*39 is divided by f?
12
Suppose 2*o - 4*z + 10 = 0, 0*o + 2*o + 5*z = 17. Let v(j) = 13*j**3 - 2*j**2 + j. Let w be v(o). Calculate the remainder when 17 is divided by 15/w*(1 + 3).
2
Let g(a) = a**2 + 7*a + 1. Let u be g(-6). Let s(l) = l**3 + 6*l**2 + 2*l - 2. Suppose 0*h + 15 = 3*h. What is the remainder when s(u) is divided by h?
3
Let t(a) be the second derivative of -a**3/3 + 7*a**2/2 - 3*a. What is the remainder when 41 is divided by t(-7)?
20
Let z(o) = -24*o - 1. Suppose 1 + 2 = -3*v. Calculate the remainder when 44 is divided by z(v).
21
Let r = 10 + -4. Let l be (-2)/5 + 277/5. Suppose r*q - q = l. Calculate the remainder when q is divided by 4.
3
Let s = 148 - 112. Calculate the remainder when s is divided by 22.
14
Let l(v) = v**2 + 0 + 4*v + 2 + v**2. Suppose 2*n + 8 = 2. What is the remainder when 14 is divided by l(n)?
6
Let h = 6 + -6. Suppose 2*j = -4*z + 20, h*z + 5*z = 2*j + 7. Calculate the remainder when z is divided by 2.
1
Let m be (8/(-3))/(14/(-21)). Suppose 7 - 39 = -m*j. What is the remainder when j is divided by 5?
3
Let k(t) = -18*t - 17. Calculate the remainder when k(-7) is divided by 16.
13
Let y = -8 - -11. Let t be (-2)/8 + 69/(-12). What is the remainder when t/(-9)*-3 + 10 is divided by y?
2
Suppose -x - x = -4. Suppose -x*t - z + 23 = 0, -z = -3*t - 0*z + 22. What is the remainder when 16 is divided by t?
7
Suppose 5*s = -4*z + 100, z + 60 = 5*s - 3*z. Calculate the remainder when 79 is divided by s.
15
Let l be (-1)/3*-4*3. Let j(k) = -k**2 + 2*k + 2. Let q be j(l). Calculate the remainder when 3/(q/(-52)*1) is divided by 14.
12
Let k = 124 - 66. What is the remainder when k is divided by 17?
7
Suppose -5 = -y - 0. Suppose 0 = y*q - 16 + 6. Calculate the remainder when q is divided by 1.
0
Let q(y) = 3*y - 2. What is the remainder when 0/1*-1 + 37 is divided by q(5)?
11
Calculate the remainder when 43 is divided by 9/(-24)*-28 + (-2)/(-4).
10
Let w(p) = p**2 + p + 70. Let a = 38 - -8. Suppose -8 = -3*s + a. What is the remainder when w(0) is divided by s?
16
What is the remainder when 23 + (0/(-1) - -1) is divided by 14?
10
Suppose 0 = 2*p - j - 128, 3*j + 0*j = -4*p + 256. Suppose 0 = 2*f - 0*f - p. Calculate the remainder when f is divided by 11.
10
Calculate the remainder when 1*14 - (-14 + 16) is divided by 8.
4
Suppose 5*g = 8 + 2. Let p = -23 - -27. Calculate the remainder when p is divided by g.
0
Let a be (-1)/4 + (-133)/28. Let f = a - -16. What is the remainder when 40 is divided by f?
7
Let a = 93 + -49. Suppose 0*x = 4*x - a. Calculate the remainder when 41 is divided by x.
8
Let h = -22 - -11. Let x(d) = d**3 + 12*d**2 + 10*d - 6. Calculate the remainder when x(h) is divided by 2.
1
Let j = -3 - -18. Let x = -6 - -8. Suppose -x*b = b - 24. What is the remainder when j is divided by b?
7
Let d be 2*(0 + 78/4). Suppose 4*k - p - 52 = -2*p, -3*k = p - d. What is the remainder when 24 is divided by k?
11
Let f = -811 + 455. Calculate the remainder when (-1)/4 + f/(-16) is divided by 8.
6
Suppose 0*r - 2 = 4*i + r, -r = 3*i + 2. Let b(w) = -w + 47. Calculate the remainder when b(i) is divided by 25.
22
Let g(l) = l**3 + 4*l**2 - 2*l - 2. Let o be g(-4). Let q be (o/(-4))/(3/16). Calculate the remainder when 25 is divided by 2/(-8) + (-74)/q.
7
Suppose 5*x - 27 - 8 = 0. Calculate the remainder when 25 is divided by x.
4
Let y be 12*1*(-5)/(-10). Suppose -y*z + 135 = -z. What is the remainder when 78 is divided by z?
24
What is the remainder when 6/5*(-10)/(-3) is divided by (6/(-8))/((-6)/16)?
0
Let q be (-2 + 3)*3/1. Suppose -q + 11 = -2*a. Let g = a + 6. What is the remainder when g is divided by 2?
0
Suppose -3*h + 11 - 2 = 0. Suppose i - h*i + 14 = 0. What is the remainder when 27 is divided by i?
6
Calculate the remainder when 249 is divided by 1096/26 - 10/65.
39
Let s = -3 - -5. Suppose 6*d + s*k = d - 16, -3*d + k = 14. What is the remainder when 1/d - 122/(-8) is divided by 8?
7
Suppose t + 6 = 14. What is the remainder when 13 is divided by t?
5
Let s(u) = -5*u + 25. Let i(g) = 2*g**3 + 2*g**2 - 4*g + 2. What is the remainder when i(2) is divided by s(3)?
8
Suppose 5*h = -0*h - 45. Let m(f) = f**2 + 8*f + 4. Suppose 2*d - 3*d + 51 = 0. What is the remainder when d is divided by m(h)?
12
Let j(k) = -3*k - 9. Let p(l) = -4*l - 10. Let x(n) = -3*j(n) + 2*p(n). Calculate the remainder when 4 is divided by x(-5).
0
Calculate the remainder when (88/14)/(4/14) - 4 is divided by 11.
7
Let o = 6 - -7. Calculate the remainder when 47 is divided by o.
8
Let a = 73 - 22. Let q = a + -16. Suppose 4*b = -2 + 74. What is the remainder when q is divided by b?
17
Suppose -2*d + 3*l + 86 = -0*d, -4*d - 2*l + 140 = 0. Calculate the remainder when d is divided by -1*1 - -7*2.
11
Let a(k) = 3*k. Let n(l) = -3*l. Let d be n(-1). Calculate the remainder when 2 + -1 + (-50)/(-2) is divided by a(d).
8
Let y = 43 - 1. What is the remainder when y is divided by 11?
9
Let m(r) = r**3 + 6*r**2 - 3*r. Let s be m(-4). Suppose 0*w - s = -2*w. What is the remainder when w is divided by 12?
10
Suppose -5*o - 21 = -8*o. Suppose o*a = 143 + 536. Calculate the remainder when a is divided by 20.
17
Calculate the remainder when 43 + -1 + 1 + 3 is divided by 16.
14
Let u = 8 - -25. Suppose 5*v - 5*d - 10 = 0, v - 9 + 2 = -4*d. Suppose 0 = -3*r + v*g + 45, 4*g = r + 2*g - 13. Calculate the remainder when u is divided by r.
16
Suppose y + 20 = 2*u - 4*y, -4*y - 10 = -u. Calculate the remainder when 29 is divided by u.
9
Suppose -5*o + 140 = 45. Calculate the remainder when 74 is divided by o.
17
Let d(i) = 5*i**2 + 6*i - 4. Calculate the remainder when 5 is divided by d(-2).
1
Let x = -50 - -138. Suppose -x + 0 = -2*o. What is the remainder when o is divided by 321/21 + 2/(-7)?
14
Suppose -7*w = -6*w - 10. What is the remainder when 17 is divided by w?
7
Let p be 0*((-1)/(-2) + -1). Suppose -6*m - 20 = -11*m. Suppose -5*z + z + 2*i + 60 = p, 0 = -2*i + m. Calculate the remainder when 47 is divided by z.
15
Let j(u) = -6*u + 3. Let a be j(3). Let z(f) = -f**2 + 5*f - 4. Calculate the remainder when z(3) is divided by 6/a + 24/10.
0
Let b be (-77)/(-28) - (-2)/8. Let u be ((-3)/1)/(0 - 1). Suppose -b = -u*n + 18. What is the remainder when 12 is divided by n?
5
Let t be (10 + (0 - -1))*3. Suppose 0 = -2*f + t + 23. Suppose -3*k + f = -2*k. What is the remainder when k is divided by 15?
13
Let w(n) = 6*n**3 - 2*n**2 - n + 2. Let j be w(-2). Let f = -31 - j. What is the remainder when f is divided by 1/(3*(-1)/(-18))?
3
Suppose -3*p = 2*s + 9, -3*s + 3*p = p - 6. Suppose -2*l = -s*l - 14. What is the remainder when l is divided by (3/2)/(9/24)?
3
Suppose -d - 37 = -0*j - 2*j, 2*d - 88 = -5*j. Let n(l) = l**3 - 3*l**2 + 2*l - 3. Let q be n(2). What is the remainder when (-12)/8*106/q is divided by j?
17
Suppose -q = -5 - 142. Suppose 138 = 5*k - q. Let m(u) = -2*u**2 - 25*u + 3. Calculate the remainder when k is divided by m(-12).
12
Suppose -3*d + 19 = -14. What is the remainder when d is divided by 5?
1
Let u = 144 + -60. Suppose 2*a + 2*a = u. Calculate the remainder when (a/9)/(3/45) is divided by 12.
11
Let b = -2 - -2. Suppose n + 2*z - 39 = b, -5*n - 5*z = -80 - 100. What is the remainder when n is divided by 9?
6
Suppose -6*q = -5*q - 2. What is the remainder when 16 + 1/(q/2) is divided by 6?
5
Suppose r = -2*r + 15. Suppose -4*j - 2 = -34. Suppose -7*m - r*o + 36 = -3*m, -2*o + j = 0. What is the remainder when 7 is divided by m?
3
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