5*i - 11 = k. Suppose 0 = y + i*v - 15, -2*v = -3*y - v + 25. What is the remainder when 17 is divided by y?
8
Let k(j) = -2*j**2 + 18*j - 6. What is the remainder when 38 is divided by k(8)?
8
Suppose 3*z + 529 = 2*v, 3*z - 6*z - 523 = v. Let y be z/(-4) - (-3)/12. Suppose -5*b + b + y = 0. What is the remainder when b is divided by 6?
5
Let k(h) = 3*h**2 + h**3 - 1 - 7*h + 0*h**3 + h**2. Calculate the remainder when 17 is divided by k(-5).
8
Suppose -3*f - 17 = -2*y, -f = -2*f - 1. Suppose 5*g = y + 3. Suppose -a = -0*l - 4*l + 5, 0 = 5*a - g*l - 65. Calculate the remainder when a is divided by 8.
7
Suppose 0 = -2*y - 5*f - 71 - 227, -4*f = 3*y + 454. What is the remainder when 32 is divided by (y/7)/(1*-2)?
10
Let f(p) = p**2 + 4*p - 1. Suppose 4*x - s + 0*s = 22, -5*x - s = -32. What is the remainder when x is divided by f(-5)?
2
Suppose 32 = 2*t - 3*m, -3*t + m = 5*m - 82. Let j be 2 - 4/(1*-2). Suppose 2*a - 14 = q, j*q - 3*q - 18 = -2*a. What is the remainder when t is divided by a?
6
Suppose 3*z = 2*z + 5*b + 72, 0 = 3*z + 3*b - 126. What is the remainder when z is divided by 12?
11
Let s(q) = 12*q**3 + q - 1. Calculate the remainder when s(1) is divided by 3.
0
Let h(t) = 43*t - 3. Let d be h(4). Suppose 9 = -3*f, -4*o - f + d = 4*f. What is the remainder when o is divided by 16?
14
Suppose -2*v - 44 = -6*v. Let w = 26 - 6. Calculate the remainder when w is divided by v.
9
Let i = -140 + 235. Suppose -7*g + 2*g - i = 0. Let b = g - -28. What is the remainder when 16 is divided by b?
7
Suppose 3*v = v + 28. Suppose 4*k - k - 3 = 0. Let z = k - -39. What is the remainder when z is divided by v?
12
Let s(o) = 11*o**2 + 1. Let k = 27 - 22. Calculate the remainder when s(-1) is divided by k.
2
Let a be (1/2)/((-6)/(-24)). What is the remainder when 29 is divided by (-80)/(-5)*(a + -1)?
13
Suppose 3*m + 0 = 111. Suppose -5*z + 95 = 30. Calculate the remainder when m is divided by z.
11
Let c = -7 - -28. Calculate the remainder when 83 is divided by c.
20
Let r be 52 - 1/(2/8). Suppose -5*u = -7 - r. Calculate the remainder when 32 is divided by u.
10
Suppose -21 = -5*b + 4*b. Suppose -t = n - b, -4*t - 6*n + n = -87. Calculate the remainder when t is divided by 7.
4
Let n be -75*(-4)/6 - 0. Suppose -5*t = -2*r + 5*r - n, 30 = 3*t - 4*r. What is the remainder when 39 is divided by t?
9
Suppose 8*l + 288 = 11*l. What is the remainder when l is divided by 14?
12
Let v(m) = -m + 26. Let o be v(0). Let r = 40 - o. Calculate the remainder when r is divided by 8.
6
Let l(k) = -k - 2. Let w be l(-5). Suppose 0*i = -w*i. Calculate the remainder when 19 is divided by i/(-2) + (-30)/(-3).
9
Suppose 6*z - 25 = z. Calculate the remainder when z is divided by 3.
2
Let v(h) = 5*h**3 + h**2. Let q be v(-1). Let j be q/(-8) - (-30)/4. Suppose -3*s + 4*s = j. Calculate the remainder when 22 is divided by s.
6
Suppose -2*t = 2*t - 32. Calculate the remainder when 70 is divided by t.
6
Let f(i) be the third derivative of i**6/120 - 11*i**5/60 + 5*i**4/12 + i**3/6 - 3*i**2. Let t be f(10). What is the remainder when 2 + 1*10*t is divided by 7?
5
Suppose -2*d + 2*h = -3*h - 18, -4 = -d + 5*h. What is the remainder when 12/(-42) + 130/d is divided by 6?
3
Calculate the remainder when 74 is divided by 2 + 2 + -3 + 18.
17
Let j(i) = i**2 - 8*i - 1. Suppose 0*p + p = -2*t + 8, p - 7 = -3*t. What is the remainder when j(p) is divided by 7?
5
Suppose -8 = -x + 9. Calculate the remainder when (-4)/10 + 654/10 is divided by x.
14
Let b(v) = -25*v + 1. What is the remainder when b(-2) is divided by 13?
12
Let b(u) = 5 - u - u + u. What is the remainder when 3 - -27 - (1 - 2) is divided by b(-6)?
9
Suppose -5*a = -10*a + 60. Calculate the remainder when 4 is divided by (-6)/4*a/(-9).
0
Let a be (-10)/3*(-72)/16. Suppose 2*b + x - 22 = -7, 4*b - x = a. Suppose -b = -k - 4. Calculate the remainder when k is divided by 1.
0
Suppose -n - 39 = -4*n. Suppose 0 = 5*y - 25, -4*y = 4*k - 7*y - 249. Suppose -k = -3*f + 9. Calculate the remainder when f is divided by n.
12
Let n(s) = s**2 - 6*s + 6. Let m be n(4). Let v = 12 + -8. What is the remainder when v is divided by ((-2)/(-4))/(m/(-8))?
0
Let o = 35 + -10. What is the remainder when o is divided by 9?
7
What is the remainder when 44 is divided by (-294)/(-24) - (-2)/(-8)?
8
Let t(l) = -l. Let k(w) = w**2 + 4*w + 8. Let p(i) = -k(i) + 5*t(i). Calculate the remainder when p(-7) is divided by 4.
2
Suppose 20 = 6*c - c. Suppose w - 45 = -c*w. Let r = -2 + 19. What is the remainder when r is divided by w?
8
Let j(h) = -3*h**3 - h**2 - 2*h - 1. What is the remainder when 3 is divided by j(-1)?
0
Let p(d) = -d**3 - 7*d**2 - 5*d - 1. Let f be p(-6). Let k = 10 - f. Calculate the remainder when ((-147)/(-12))/(2/8) is divided by k.
15
Let v = 14 - -11. Suppose 2*u + 5 = 23. What is the remainder when v is divided by u?
7
Suppose -4*t - 24 = -0*t. What is the remainder when ((-2)/t)/((-3)/(-18)) is divided by 2?
0
Let p be (-2 - -2)/(-3 + 4). Suppose -5*c + 3*w + 22 = p, -c - 2*w + 1 = 7. Suppose -m - 14 = -c*m. What is the remainder when 40 is divided by m?
12
Suppose 9*c + 0*c = 54. Calculate the remainder when 22 is divided by c.
4
Let w(i) = i**3 - 5*i**2 + 6*i - 6. Suppose 2*y = 2 + 8. Let j be w(y). Suppose 4*q = -8 + j. What is the remainder when q is divided by 2?
0
Let s = 0 + 4. Calculate the remainder when 10 is divided by s.
2
Let v(k) = k**2 + 2*k - 2. Let y be v(-8). Let t = -14 + y. Calculate the remainder when t is divided by 17.
15
Calculate the remainder when -2*(-182 + 4)*(-2)/(-8) is divided by 31.
27
What is the remainder when 28 is divided by (-2 - (2 - 4)) + 10?
8
Let p(n) = -n. Let b(w) = w**2 - 6*w + 3. Let d be b(4). Let c be p(d). Suppose -g = -c*g + 60. Calculate the remainder when 44 is divided by g.
14
Let t(i) be the third derivative of i**6/120 + 7*i**5/60 - i**4/12 - 4*i**3/3 - 6*i**2. What is the remainder when 11 is divided by t(-7)?
5
Suppose 4*c - 12 - 15 = l, 5*c + 3*l - 38 = 0. Calculate the remainder when 23 is divided by c.
2
Let q = 14 - 8. Let s = -1 + q. Suppose -34 = -s*m + 3*m. Calculate the remainder when m is divided by 6.
5
Let m = 9 - 5. Let f = 5 - 5. Suppose -j - d - 9 = -2*j, f = -3*j + m*d + 28. Calculate the remainder when j is divided by 3.
2
Let i(x) = -11*x**3 + x**2 + 2*x + 1. What is the remainder when 32 is divided by i(-1)?
10
Suppose 3*x - 34 = -u, x - 3*u = 3*x - 32. Suppose 4*b + 0*b + 108 = 0. Let s = b - -55. Calculate the remainder when s is divided by x.
8
Calculate the remainder when 49 is divided by (85/(-10) - -6)/((-1)/6).
4
Let f = -25 - -37. What is the remainder when 58 is divided by f?
10
Calculate the remainder when 12 is divided by 6/9 - 44/(-6).
4
Let h = -107 - -121. Calculate the remainder when 4/(56/26 + -2) is divided by h.
12
Suppose 3*k = 6*k - 5*l - 58, -3*k - 4*l + 13 = 0. Let n(f) = f**3 - 10*f**2 - 10*f + 8. What is the remainder when 36 is divided by n(k)?
17
Let i = 122 + 13. Suppose -v = 4*v - i. What is the remainder when 51 is divided by v?
24
Suppose -2*s = -5 - 3. What is the remainder when 9 is divided by s?
1
Let z(m) = 48*m**3 - m**2. What is the remainder when z(1) is divided by -1 + (4 - 3)*17?
15
Let m = 7 + 3. What is the remainder when 27 is divided by m?
7
Suppose r = -4*r + 4*u - 160, 2*u = 5*r + 170. What is the remainder when (r/20 - 1)*-10 is divided by 15?
13
Let k be (-325)/5*4/(-10). Let m = k + 3. Calculate the remainder when m is divided by 16.
13
Let w be 12 - 4/(-1 + 5). Let d = w - -9. What is the remainder when d is divided by 7?
6
Suppose -5*b - 16 + 31 = 0. What is the remainder when 10 is divided by b?
1
Suppose -5*i = -3*q + 75, 3*q + 2*i = i + 93. Suppose 27*t + t - 308 = 0. Calculate the remainder when q is divided by t.
8
Let z = 68 + -16. Let l(b) = -b**2 - 5*b + 5. Let k be l(-5). Suppose k*g - 72 = g. What is the remainder when z is divided by g?
16
Suppose -36 = -4*c + 4*u, -5 + 23 = 2*c + 5*u. What is the remainder when c is divided by 6?
3
Let p be (-5)/(3/(-6)*1). Let q be p/(-12)*-10*-3. Let z = q + 48. Calculate the remainder when z is divided by 8.
7
Let w be 5/1 + -4 + 3. Suppose -5*v = k - 0*k - 2, -5*v - 58 = -w*k. Suppose 34 - k = y. Calculate the remainder when y is divided by 8.
6
Let i(m) 