der when -2 - (-7)/(z/180) is divided by 15.
13
Let w(z) = z**3 + 5*z**2 + 4. Let y be w(-4). Suppose -2*l + y = 3*l. What is the remainder when 9 is divided by l?
1
Suppose 0 = -2*z + 77 - 27. What is the remainder when z is divided by 14?
11
Let a be (34/8)/((-4)/(-16)). Suppose 16 + a = 3*q. Calculate the remainder when 20 is divided by q.
9
Let n be 2/(-6) - (-395)/(-3). Let i = 216 + n. Suppose -i = -3*p - p. What is the remainder when 40 is divided by p?
19
What is the remainder when 2/15 - (-4432)/60 is divided by 25?
24
What is the remainder when 113 is divided by 5/15 + (-172)/(-6)?
26
Suppose 4 = 5*u - 1. Let t(f) = f - 5 - 1 + 1. What is the remainder when u is divided by t(6)?
0
Let b = 15 + -21. Let n(k) = -k**2 - 7*k + 7. Calculate the remainder when 24 is divided by n(b).
11
What is the remainder when 3/(-5) + 3419/65 is divided by 18?
16
What is the remainder when 50 is divided by 14 + 5*(-12)/(-15)?
14
Let l(z) = 3*z + 2*z + 0 + 6 - 3. Let w(u) = 6*u**2. What is the remainder when w(2) is divided by l(2)?
11
Let m = 13 + -11. Suppose -4*u - u + 320 = -a, 4*a - 150 = -m*u. What is the remainder when u is divided by 22?
21
Suppose -f - 3*f = p - 16, 2*p = -2*f + 32. Calculate the remainder when 61 is divided by p.
13
Let l(q) = -q**3 + 9*q**2 + 12*q - 6. Calculate the remainder when l(10) is divided by 4.
2
Let d(h) = h**3 + 5*h**2 - 6*h + 4. Let w be d(-6). Let c = 9 + w. Calculate the remainder when c is divided by 5.
3
Suppose -n = 4*n - 20. Let h = 6 - n. Suppose 0*l = h*l - 76. Calculate the remainder when l is divided by 20.
18
Let w(v) = v**2 + 7*v + 6. Let q be w(-8). Let g = q + -8. What is the remainder when 4/(-14) - (-72)/7 is divided by g?
4
Suppose 5*k - 3*x + 130 = 0, 5*k = -4*x - 62 - 103. Let z = k - -42. Let y = 40 + -15. What is the remainder when y is divided by z?
12
Suppose -3*u + 30 = -5*t, 3*u - 20 = u - 2*t. Suppose 0 = -5*v + 18 + 7, -2*v = -2*d + 24. What is the remainder when d is divided by u?
7
Suppose 3*l - 7 = 53. Calculate the remainder when 37 is divided by l.
17
Suppose 5*o - 3*o = 52. Let x(t) be the second derivative of 4*t**3/3 - t**2 - 2*t. What is the remainder when o is divided by x(2)?
12
Suppose 2*c + 2*y = 88, 2*c + 4*y + 132 = 5*c. Suppose 2*d = 3*j - 66, -3*d = 2*j - 4*d - c. Calculate the remainder when 65 is divided by j.
21
Suppose -3*t + 456 = -y - 2*y, -t = -5*y - 160. Calculate the remainder when t is divided by 14.
10
Let y = 199 + -96. Calculate the remainder when y is divided by 26.
25
Suppose -3*q - 4*x = -234 - 10, 0 = -x + 4. Suppose 0*v = 2*v - 3*n + 92, 4*v - 5*n + 184 = 0. Let l = v - -72. What is the remainder when q is divided by l?
24
Let j = 6 - -2. What is the remainder when 22 is divided by j?
6
Suppose 21*q - 24*q = -387. What is the remainder when q is divided by 33?
30
Suppose 8*m - 3*m - 60 = 0. Suppose -5*g + 247 - 137 = 0. What is the remainder when g is divided by m?
10
Let s(k) be the first derivative of 0*k + k**3 - 9/2*k**2 + 4. What is the remainder when s(6) is divided by 14?
12
Let j be 4/5*(-7 - -2). Let g be 12/2*j/8. What is the remainder when 5 is divided by (-28)/(-21)*g/(-2)?
1
Let m(k) = -32*k**3 + k**2 + k. What is the remainder when m(-1) is divided by 7?
4
Let u be (-262)/(-14) + 2/7. Let z = -6 + u. What is the remainder when (-2)/(-7) + (-2324)/(-98) is divided by z?
11
Suppose -3*f + 4 = -2*f. Calculate the remainder when 5/(10/4) - -4 is divided by f.
2
Suppose 0 = w + 4*n - 42, 3*w + 2*n + 2*n = 86. What is the remainder when 42 is divided by w?
20
Suppose j = -b + 5, j = -4*j + b - 5. Suppose -p + 2 = -2*d - d, 5*p - 4*d - 10 = j. What is the remainder when 2 is divided by p?
0
Let f = 6 + -11. Let j = -4 - f. What is the remainder when 2 is divided by j?
0
Suppose 2*y = -10*y + 36. What is the remainder when 3 is divided by y?
0
Suppose 6 = -k + 16. Calculate the remainder when k is divided by 5.
0
Let k = -7 - -17. Let o be (-12)/(-6) + 2/2. Calculate the remainder when 19*1 - (o - 2) is divided by k.
8
Let d(r) = 7*r**2 + r + 3. What is the remainder when d(-2) is divided by 5?
4
Let r be (6/5)/(2/5). Suppose 0 = r*o - x + 22, -2*o - 10 = -3*x + 7*x. What is the remainder when 24 is divided by 2/o - 93/(-7)?
11
Suppose -j - 2*j + 15 = 0. Suppose -j*p = -6*p + 9. What is the remainder when ((-2)/4)/((-2)/64) is divided by p?
7
Let o = -249 + 394. Calculate the remainder when o is divided by 37.
34
Let v = 123 - -20. Suppose 5*d + 3*f - v = 6*f, -5*f = 4*d - 144. What is the remainder when d is divided by 8?
7
Let q be 2/8 - (-51)/(-12). Let b = 6 + q. What is the remainder when 4 is divided by b?
0
Let y = 1 - -1. Suppose -5*o - 30 - 23 = -q, -4*o = -y*q + 88. Let p = q - 22. Calculate the remainder when p is divided by 9.
7
Let h = 5 + -1. Let q(n) = -n + 3. Let s be q(3). Suppose -5*x + 45 = -3*g, 2*x - 4*g + 8 - 40 = s. Calculate the remainder when x is divided by h.
2
What is the remainder when -20 + 18 - 40/(-2) is divided by 10?
8
Suppose -2*f + 16 = 10. Suppose -2*n = 3*n - f*t - 93, 4*t - 86 = -5*n. What is the remainder when n is divided by 7?
4
Suppose 0 = -2*o + 13 + 5. Suppose -2*w = -87 + o. Let n(r) = -r**3 - 3*r**2 + 16*r + 8. What is the remainder when w is divided by n(-6)?
19
Suppose -19*y + 21*y = 22. What is the remainder when 31 is divided by y?
9
Let h(n) = -n**3 - 9*n**2 + 22*n + 9. What is the remainder when h(-12) is divided by 36?
33
Suppose 3*m = 22 + 23. What is the remainder when m is divided by 8?
7
Let m(i) = i - 5. Let f be m(4). Let q = f - -3. What is the remainder when q is divided by 45/9*(21/15 - 1)?
0
Suppose 0 = -2*y - 0*y - 5*o + 1, y - o = 11. What is the remainder when 26 is divided by y?
2
Suppose -4*q = 2 + 14. Let r be -12*(0 - 2)/q. What is the remainder when 2 is divided by (2/(-3))/(r/9)?
0
What is the remainder when 37 is divided by (-32)/80 + 194/10?
18
Let h(g) = g**3 - 15*g**2 + 26*g - 10. What is the remainder when h(14) is divided by 32?
30
Suppose 3*w - 8 = 2*w - l, 2*l - 2 = 0. Calculate the remainder when 27 is divided by w.
6
Let c(k) = k**3 + 5*k**2 - 7*k + 8. Let s be c(-6). Let z = -12 + 13. Let i = s - z. Calculate the remainder when i is divided by 7.
6
Let w(d) = -9*d**3 + 2*d**2 + d + 2. Let f be w(2). What is the remainder when 80 is divided by f/8*36/(-10)?
26
Let f = -54 - -73. What is the remainder when f is divided by 11?
8
Let q = 15 + -10. What is the remainder when 14 + 3/3 + -2 is divided by q?
3
Let z = -9 + 20. Calculate the remainder when z is divided by 4.
3
Let a(o) = 2*o**2 + 13*o - 2. What is the remainder when 8 is divided by a(-7)?
3
Let c = 29 + 21. Suppose c = t + t. Calculate the remainder when 74 is divided by t.
24
Let d(x) = 16*x + 1. Let i be d(-1). Suppose 56 = 2*v + 2*v. What is the remainder when v is divided by 25/i*(-2 - 1)?
4
What is the remainder when 3 is divided by (4/(-18) + (-58)/(-18))*1?
0
Let r = -45 - -68. Calculate the remainder when r is divided by 7.
2
Let p(a) = a**3 - 3*a**2 + 3*a - 7. What is the remainder when 33 is divided by p(3)?
1
Suppose -7 = n - 4. Let q be n/(-27)*3*6. Suppose q*v + v - 15 = 5*o, -2*o + 46 = 4*v. What is the remainder when v is divided by 4?
2
Suppose -4*h - 4*t = -h - 1, -2*h - 1 = 3*t. Calculate the remainder when h is divided by (-4)/7 + 50/14.
1
Let r = 45 - 13. Calculate the remainder when 61 is divided by r.
29
What is the remainder when (-50)/(-175) - 2040/(-14) is divided by 49?
48
Let p(t) be the second derivative of 7*t**3/2 - t**2/2 - 22*t. Let i = 3 + -2. What is the remainder when 59 is divided by p(i)?
19
Suppose 2*m - 2*c = -6 - 4, -c = -2*m - 7. Calculate the remainder when -19*(2/m + -1) is divided by 13.
12
Let l(c) = -c**2 - 11*c - 6. Calculate the remainder when 1/3 + 272/48 is divided by l(-10).
2
Suppose 0 = 2*v + 5*c - 30, 0 = -4*v - 0*c + c + 38. Calculate the remainder when 47 is divided by v.
7
Let z = 38 - -9. What is the remainder when z is divided by 24?
23
Suppose -2*l = 4, -4*j - 5*l = -j - 176. Let u be 60*((-14)/(-4) - 2). Suppose u = 4*c - j. What is the remainder when c is divided by 13?
12
Calculate the remainder when 39 is divided by -1 - 4 - -2 - (-18 + 1).
11
Let t be 2 - (-32*1 - 2). Suppose -t = -2*y + 4*b, 2*b + 0*b = 5*y - 50. What is the remainder whe