6. What is the remainder when 86/7 + (-2)/7 is divided by q?
5
Let y(q) = -q**3 - 8*q**2 - 17*q + 2. Calculate the remainder when 45 is divided by y(-5).
9
Suppose 0 = c + 3*c - 16. Suppose x - 3 = -0*x, 0 = 3*t + c*x - 39. Calculate the remainder when 17 + (0 - 1) + -1 is divided by t.
6
Let p(c) = -33*c + 1. Let n be p(-1). Let y(t) = -3*t**3 + t**2 - 2*t + 1. Let g be y(2). Let o = g + n. What is the remainder when 32 is divided by o?
10
Let f = 56 + -42. What is the remainder when 48 is divided by f?
6
Let w(x) = x + 60. What is the remainder when 207 is divided by w(-18)?
39
What is the remainder when 12 is divided by (-3)/(0 + -4 - -3)?
0
Let d(z) = -12*z - 1. Let p be d(-2). Let h = p + -13. Suppose 53 = 2*u + 5*m, 2*m = h - 0. What is the remainder when u is divided by 8?
6
Suppose 2*l + 44 - 153 = -3*y, -l = -5*y + 199. What is the remainder when y is divided by 8?
7
Let u(v) be the second derivative of 17*v**4/12 + v**2 - v. Let a be u(2). Suppose 5*o - a = -5. What is the remainder when 25 is divided by o?
12
Let a(s) be the second derivative of s**4/3 + s**3/6 + 6*s. Calculate the remainder when a(-2) is divided by (-66)/(-8) + 2/(-8).
6
Let j = 56 + -7. What is the remainder when j is divided by 21?
7
Suppose -4*r = 2*r - 498. What is the remainder when r is divided by 17?
15
Suppose -79*c + 75*c + 136 = 0. Calculate the remainder when 98 is divided by c.
30
Suppose 13*x = 11*x + 114. Calculate the remainder when x is divided by 20.
17
Suppose q - 151 = -5*t, -127 = -5*t + 5*q + 18. What is the remainder when 115 is divided by t?
25
Let k be (-2)/(0 + (-1)/2). Suppose k = 2*w - 2. What is the remainder when w is divided by 2?
1
Let y = -55 + 70. What is the remainder when 59 is divided by y?
14
Let g = 3 + -2. Let q be 5 - (g + 2 + -1). Suppose -3*p = -3 - q. Calculate the remainder when 3 is divided by p.
1
Suppose 5*k + 25 = 0, 4*x + k - 2*k = 93. Calculate the remainder when 42 is divided by x.
20
Let z(v) = 3*v + 7. Let d be z(3). What is the remainder when (-12)/d - 279/(-4) is divided by 24?
21
Let i(g) = 10*g**2 + 4*g - 4. Let x be i(3). Suppose -3*q + q + x = 0. Suppose -5*u + q = 9. Calculate the remainder when 23 is divided by u.
7
Let c(r) be the third derivative of 5*r**4/8 - r**3/6 + 4*r**2. Calculate the remainder when 54 is divided by c(1).
12
Let x be ((-2)/4)/((-3)/6). Suppose 5*o = -19 - x. What is the remainder when 24 is divided by (1 - (-51)/(-12))*o?
11
Let g(b) = 4*b - 2. What is the remainder when (-1064)/(-20) + 1/(-5) is divided by g(5)?
17
Let j be 18/(-42) - (-130)/(-7). Let d = j - -13. Let k(v) = -2*v. Calculate the remainder when 45 is divided by k(d).
9
Suppose 5 = 4*l + 1. Calculate the remainder when 3 is divided by l.
0
Let j be 855/21 + (-2)/(-7). Suppose -j - 14 = -5*d. What is the remainder when 20 is divided by d?
9
Suppose 24 - 80 = -2*f. Let j = f - 18. What is the remainder when j is divided by 3?
1
Suppose j = -4*j. Suppose 2*z + j*z = 6. What is the remainder when 3 is divided by z?
0
Let l(d) = d**3 - 4*d**2 - 6*d - 6. Let p be l(5). Let m = p + 18. Calculate the remainder when 13 is divided by m.
6
Let d be -2 + ((-63)/(-3))/3. Let b(t) = 3*t + 4. Calculate the remainder when 75 is divided by b(d).
18
Suppose -2*b + m + m = -22, 4*b = 3*m + 41. Suppose 3*d - 13 + 4 = 0. What is the remainder when b is divided by d?
2
Let y(g) = 1 + 55*g**2 + g + 1 - 3. Suppose -2*s - 8 = -2*h, -2*h + 22 = 2*s + 2*h. What is the remainder when y(s) is divided by 14?
13
Suppose -4*z = -5*z + 19. Calculate the remainder when 54 is divided by z.
16
Let d = -14 + 89. What is the remainder when d is divided by 21?
12
Let f(r) be the second derivative of -r**3/3 + r**2 + 2*r. Let n(h) = h**2 - 2*h - 4. What is the remainder when f(-2) is divided by n(4)?
2
Suppose 0*x = x - 2. Suppose -x*d + 0*d = -6. Suppose -5*z + 27 = -d. Calculate the remainder when 10 is divided by z.
4
Suppose -2*q + 126 = q. Suppose -4*z - 2 + 23 = -5*x, 0 = 5*z - x - q. What is the remainder when z is divided by 5?
4
Let r = 11 + -8. Suppose t = 4*j + 30 + 12, -r*t + 4*j + 94 = 0. Calculate the remainder when 76 is divided by t.
24
Let x(l) = -l**2 - 28*l - 153. Let z be (-33 - -1)/(-1 - -2). Let b = -22 - z. Calculate the remainder when x(-18) is divided by b.
7
Let p = 56 - 13. What is the remainder when p is divided by (-1*(-22)/(-2))/(-1)?
10
Let c(h) = -3*h - 16. Calculate the remainder when c(-15) is divided by 10.
9
Suppose 45 = 3*a - 33. What is the remainder when 49 is divided by a?
23
Suppose 0 = -3*u + 11 + 1. Calculate the remainder when (130/(-20))/(1/(-2)) is divided by u.
1
Let l = 137 + -95. Calculate the remainder when 166 is divided by l.
40
Let l = -62 + 84. What is the remainder when l is divided by 13?
9
Let l(k) = -k**3 - 7*k**2. Let q be l(-7). Suppose q*b + 4*b = 48. What is the remainder when b is divided by 7?
5
Let f(v) = 3*v + 1. Let t(h) = h**3 - 2*h**2 - 4. Let p be t(3). Suppose -1 = p*s - 11. Calculate the remainder when f(s) is divided by 3.
1
Let o be (-2*1)/(0 + 1). Let r = o + 2. Suppose 4*v + 2 - 14 = r. What is the remainder when 3 is divided by v?
0
Let m = -8 - -2. Calculate the remainder when 9*((-14)/m - 2) is divided by 1.
0
Let v = 9 + -3. What is the remainder when 22 is divided by v?
4
Let v(c) = 11*c**2 + 3*c**3 + 4 - 3*c**2 - 2*c**3 + 5 + 8*c. Calculate the remainder when v(-6) is divided by 9.
6
Let r(a) = -5*a**3 - 2*a**2 - 2*a - 1. Let l be r(-1). Calculate the remainder when 21 is divided by 14 + (-1 - (-2 + l)).
10
Let m(a) be the second derivative of a**5/20 + 3*a**4/4 + a**3 - 5*a**2 + 3*a. What is the remainder when 11 is divided by m(-8)?
5
Let w(a) be the third derivative of a**5/60 - a**4/3 - 5*a**3/3 - 13*a**2. Let g be -2 - (-20)/2 - -2. What is the remainder when w(g) is divided by 6?
4
Let f(g) = g**2 - 10. What is the remainder when f(-7) is divided by 10?
9
Let a(p) = p**3 - 13*p**2 + 15*p - 16. Suppose -11 = -2*r + 3*t, -2*r + 5*t + 9 = -0*r. What is the remainder when a(12) is divided by r?
6
Suppose 4*f - 80 = -4*c, -3*c - 107 = -5*f - c. Calculate the remainder when f is divided by 12.
9
Calculate the remainder when 10 is divided by -4 + 32/((-12)/(-3)).
2
Let m = 82 - 59. What is the remainder when m is divided by 5*(13/5 - 1)?
7
Suppose -21 = 5*v - 106. What is the remainder when 61 is divided by v?
10
Suppose 4*f + 88 = 352. Calculate the remainder when f is divided by 17.
15
Let w = 8 - 3. Suppose 38 = 5*t + 5*s - 32, -4*t = w*s - 61. Calculate the remainder when (-4)/6 + 231/9 is divided by t.
7
Let f = 276 - 166. What is the remainder when f is divided by 28?
26
Let a = -4 + 23. Let z be (-16)/(-3) - 4/(-6). Calculate the remainder when a is divided by 1/(z/(-20))*-3.
9
What is the remainder when 53 is divided by (-4)/(24/14 - 2)?
11
Suppose -3*s = 2*n - 7, -3*n - 16 = n. Calculate the remainder when 36/(2 - -1) + 1 is divided by s.
3
Let r = -6 + 11. Let d(j) = 2*j**3 - 3*j**2 + 2*j - 4. What is the remainder when d(3) is divided by r + -2 - -6*2?
14
Suppose -2*u + 32 = -4*h - 4*u, 54 = -5*h + u. Let t(x) = -x**3 - 9*x**2 + 10*x + 9. Calculate the remainder when ((-4)/(-6))/(2/78) is divided by t(h).
8
Let l = 61 - 43. Let p = -33 - -67. What is the remainder when p is divided by l?
16
Suppose 23 = 5*w - 47. Let d = 0 - -1. What is the remainder when 41*1*1/d is divided by w?
13
Let g(p) = -49 + 49 - 16*p. What is the remainder when g(-2) is divided by 11?
10
Suppose 2*i - 57 = -t, 0 = 2*i - 2*t - 2*t - 42. Let l = -10 + i. What is the remainder when 36 + (-3 - 0/2*1) is divided by l?
16
Suppose 5*a - 3*o - 26 = 0, 3*o = -4*a + 2*o + 31. What is the remainder when 27 is divided by a?
6
Let d(h) = -17*h - 5. Let a be d(-2). Let b = a + -7. What is the remainder when 42 is divided by b?
20
Let j = 23 - 20. What is the remainder when 8 is divided by j?
2
Let x(w) = -2*w**2 - 23*w + 6. What is the remainder when 46 is divided by x(-11)?
12
Suppose 80 - 450 = -5*g + 5*n, 4*g = 5*n + 295. Suppose t - g = -8. What is the remainder when t is divided by 17?
16
Suppose 5*n + 4 - 134 = 0. Calculate the remainder when n is divided by 7.
5
Let j = -31 + 52. Suppose 0 = 3*w + 2*w + 3*q - 21, 0 = -w + 5*q + j. What is the remainder when -2*(-2)/8*34 is divided by w?
5
C