t p(a) = a**2 - 3*a. Let s be p(5). Suppose -4*f = -q - 12, -1 + s = 3*f - 3*q. What is the remainder when f is divided by 3?
0
Suppose 2*s + 5*x - 3 + 20 = 0, 5*x + 25 = 0. Suppose j - 1 = -3*r, -5*r - 5*j + 0*j = -5. Calculate the remainder when r - (0 + 1) - -7 is divided by s.
2
Suppose -8 = 4*v - 4*d, -5*d = -2*v - 2*v - 13. Calculate the remainder when 9 is divided by v.
0
Suppose -4*g + 90 = 26. What is the remainder when 44 is divided by g?
12
Suppose 4*i + p - 1 = 18, -2*i + 2*p = -2. Suppose -18 = -i*c + 10. Suppose 0 = 2*b + 3*g - c - 3, 0 = 3*g + 6. What is the remainder when b is divided by 5?
3
Suppose 0 = -5*i - w - w + 75, -2*w = -i + 15. What is the remainder when 59 is divided by i?
14
Suppose l + 0 - 5 = 0. Let h(r) = 6*r. Calculate the remainder when h(l) is divided by 11.
8
Let i(r) = -7*r. Let t be i(-5). Suppose 2*f - 6*f - w = -t, f = w + 15. Calculate the remainder when 29 is divided by f.
9
Let k be 11/(2*1/4). Suppose -2*a + 2*t = k, a - 4*t + 15 = t. Let h = a - -14. Calculate the remainder when 6 is divided by h.
2
Suppose 0 - 10 = -a. What is the remainder when a is divided by 5?
0
Let g(s) = -s**2 - 25*s - 40. Calculate the remainder when 76 is divided by g(-22).
24
Let v = -5 - -10. Let f be (2 - 4 - -1) + 0. Let b = 3 + f. Calculate the remainder when v is divided by b.
1
Let q(n) = 3*n**2 + 8*n - 12. What is the remainder when q(2) is divided by 6*1/1 + 0?
4
Suppose -3*n + 32 = -n. What is the remainder when 44 is divided by n?
12
Let h(u) = u**2 - 3*u - 3. Let b be h(-2). Let n = -2 + b. Let k = 11 - n. Calculate the remainder when 17 is divided by k.
5
Calculate the remainder when (0 - -52) + -4 + 1 is divided by 10.
9
Let m be 1/((-1 - -2)/4). Suppose 0*w - 9 = -w + m*d, 4*w + d - 19 = 0. What is the remainder when 19 is divided by w?
4
Let l(g) = 14*g**3 - 4*g**2 + 8*g - 3. What is the remainder when l(2) is divided by 37?
35
Suppose 9 = c - b, 0 = -b + 3*b. What is the remainder when 80 is divided by c?
8
Let a = -1 - -5. Suppose 3*z - 4*q - 238 = 0, 0*z - 310 = -a*z - 2*q. What is the remainder when (3/6)/(3/z) is divided by 5?
3
Let f(z) = z**3 + 10*z**2 - z + 4. What is the remainder when f(-10) is divided by 8?
6
Suppose 2*h - 28 - 14 = 0. Calculate the remainder when h is divided by 12.
9
Let i(l) = -7*l - 25. Calculate the remainder when 63 is divided by i(-7).
15
Let q(i) = i + 2*i**2 + 6*i**2 + 4*i**2. What is the remainder when 43 is divided by q(-1)?
10
Suppose -2*k - 3*f = 3*k - 55, -2*k + 22 = 5*f. Calculate the remainder when 43 is divided by k.
10
Let d = 17 - -9. Calculate the remainder when d is divided by 1/(((-4)/(-14))/2).
5
Suppose -2*v + 74 + 27 = u, 2*v + 4*u = 92. Calculate the remainder when v is divided by 27.
25
What is the remainder when -8 + 12 - (-9)/3 is divided by 2?
1
Suppose 0*k - 45 = -5*p - 3*k, 9 = p + 5*k. What is the remainder when 17 is divided by p?
8
Let u = 8 - 8. Calculate the remainder when 39 is divided by u - -2 - 3*-4.
11
Let u = 119 + -78. What is the remainder when u is divided by 7?
6
Calculate the remainder when 13 is divided by 33/4 + (-6)/24.
5
Suppose 15*p = 10*p + 85. Let n(h) = h + 6. What is the remainder when p is divided by n(0)?
5
Let u(w) = 2*w - 6*w + w - 3. What is the remainder when (-6)/27 - (-310)/18 is divided by u(-4)?
8
Let z = -17 - -24. Suppose -3*f + 8*f - 65 = 0. What is the remainder when f is divided by z?
6
Let w = -17 + 6. Let a = 37 - 59. Let h = w - a. What is the remainder when 31 is divided by h?
9
Let h(v) = v - 11. Let y be h(5). What is the remainder when 82 is divided by y/(-4)*(-28)/(-3)?
12
Let j(k) be the first derivative of -8*k - 2 + 1/3*k**3 - 3/2*k**2. What is the remainder when j(7) is divided by 11?
9
Let i = -28 - -63. What is the remainder when i is divided by 18?
17
Let y = -128 + 141. Calculate the remainder when (1*36)/(-1 + 2) is divided by y.
10
Suppose -x + 270 = 2*x. Suppose -3*h - x - 124 = -5*f, -5*f = -h - 208. Calculate the remainder when f is divided by 21.
20
Let x = -5 + 9. Suppose 100 + 316 = x*f. Suppose n + 3*j = 26, 4*n + 4*j - 2*j = f. Calculate the remainder when n is divided by 9.
8
Let y(g) = 2*g**3 - 2*g**2 + g - 3. Suppose -t + 0*k - k = -7, 2*t - 3*k = -6. Suppose -2 = t*o - 14. Calculate the remainder when y(2) is divided by o.
3
Let l(v) = -v**2 - 6*v + 2. Let i be (-26)/4 + 1/2. Suppose -u - 13 = -4*k - 1, 5*u + 3*k = 32. What is the remainder when u is divided by l(i)?
0
What is the remainder when 45 is divided by (-1)/(-8)*-2 + 260/16?
13
Let j(h) = -2*h. Let m be j(-2). Suppose -m*x + 12 = -x, -g = x - 54. Let a(r) = -r + 26. What is the remainder when g is divided by a(0)?
24
Suppose -a = 4*a - 345. What is the remainder when a is divided by 18?
15
Let b = 3 + 33. Suppose -p - 2*p + 4*y + 129 = 0, p = -y + b. Calculate the remainder when p is divided by 14.
11
Let t(g) = -4 + 1 - 2*g + 1. Let r be t(-2). Let l = r - 1. What is the remainder when l is divided by 1?
0
Suppose 2*t = -b + 1 + 12, b = -3*t + 20. Let i = 54 + -20. What is the remainder when i is divided by t?
6
Let f = 69 + -109. Let r = -26 - f. Calculate the remainder when r is divided by 5.
4
Let w = -8 - -13. Suppose w*g = -0*g + 2*i + 931, -910 = -5*g - 5*i. Suppose -5*u = -g + 70. Calculate the remainder when 68 is divided by u.
22
Let g(l) be the third derivative of l**6/120 + 7*l**5/60 - 3*l**4/8 - 7*l**3/6 - 2*l**2. What is the remainder when 3 is divided by g(-8)?
0
Suppose -299 = -4*n - 5*g - 19, 4*g - 70 = -n. Calculate the remainder when n is divided by 36.
34
Suppose -5*r - 15 = -5. Calculate the remainder when 51 is divided by (52/12)/(r/(-6)).
12
Suppose c + 3 = -9. Let g be (27/c)/((-2)/(-8)). Calculate the remainder when (-151)/g + 6/27 is divided by 10.
7
Suppose 5*z + 4*a = 3*a + 38, 3*a = 3*z - 12. Suppose -52 = z*l - 3*l. What is the remainder when 36 is divided by l*(-2 - (-2)/2)?
10
Suppose 130 = 2*p + 8*p. What is the remainder when p is divided by 7/(0 + 3/3)?
6
Let h(q) = q**3 - q**2 + 2*q - 6. Let u(b) = 3 - 3*b + 1 - 1 - 2*b + b**2. Calculate the remainder when h(4) is divided by u(7).
16
Let a(w) = -w**3 - 11*w**2 + w + 7. Let v be a(-11). Calculate the remainder when 37 is divided by 2 + v + (20 - -2).
17
Suppose z = 3*z. Suppose z = 2*p - 4*p + 16. Let i(c) = 5*c + 3. What is the remainder when i(p) is divided by 15?
13
Let l = 1 - -1. Suppose -2*w = -3*w - 2*i + 10, -i = 2*w - 23. What is the remainder when 46/(l + (1 - 1)) is divided by w?
11
Suppose 4*t - 2*t = -2. Let n(p) = -50*p + 1. Let c be n(t). Let k = c + -22. Calculate the remainder when k is divided by 10.
9
Suppose -6 = u - 3*u. Suppose -3 = 4*w + 5*o - 1, 2 = 4*w + u*o. What is the remainder when 7 is divided by w?
1
Let d(w) = -112*w**3 + 1. Let n = 172 - 143. What is the remainder when d(-1) is divided by n?
26
Let w(n) = -n**2 - 19*n - 34. Calculate the remainder when w(-9) is divided by 10.
6
Suppose 2*r - 257 = 3*g - 2*g, -5*r + g + 644 = 0. Calculate the remainder when r is divided by 33.
30
Let n(h) = h + 1. Let p be n(0). Let b = p - -2. Suppose 0 = -7*i + 2*i + 15, 30 = b*f + i. What is the remainder when f is divided by 5?
4
Let w(o) = -21*o + 5. Calculate the remainder when w(-3) is divided by 18.
14
Let r be (6/(-8))/((-10)/(-120)). What is the remainder when 5 - 2 - (r + 2) is divided by 4?
2
Let q(n) = n**3 + 6*n**2 - 5*n - 3. Let c be q(-5). Suppose 0 = -2*o + 6*o - 16. Suppose 0 = o*d + 11 - c. What is the remainder when 16 is divided by d?
7
Suppose -z = 5*a + 11, 3*z + a + 75 = 8*z. What is the remainder when 40 is divided by z?
12
Suppose 11*u + 4*u = 420. Calculate the remainder when u is divided by 10.
8
Let j(n) = -2*n + 5. What is the remainder when 47 is divided by j(-6)?
13
Suppose -7*z = -6 - 22. What is the remainder when 4 is divided by z?
0
Let g(k) = k. What is the remainder when 38 is divided by g(20)?
18
Let m = 62 - 15. Calculate the remainder when m is divided by 16.
15
Suppose 0*q = 2*q - 8. Calculate the remainder when (48 - q) + (-6)/2 is divided by ((-14)/(-5))/((-1)/(-5)).
13
Let g(j) = -j**2 + 13*j - 15. Let o be g(10). What is the remainder when (-4)/(-2) - o*-1 is divided by 6?
5
Let w = -41 + 20. Let k = w + 40. Calculate the remainder when (-1 + 3)/(1/k) is divided by 20.
18