
Suppose 0 = 2*p + 3*p - 105. Suppose 3*a - p = -0*a. Let b(n) = -n**3 - 6*n**2 - 2*n - 9. What is the remainder when a is divided by b(-6)?
1
Suppose j + 103 = 2*c, -3*c + 205 = c - j. What is the remainder when c is divided by (-54)/(-4) - (-2)/(-4)?
12
Let o be (10/4)/((-2)/(-4)). Suppose 3*z = -3*i + 72 - 21, 4*i + 58 = o*z. What is the remainder when 27 is divided by z?
13
Let a(l) = l + 1. Let u be -3*4/(-3) - -1. Suppose 0 = 2*m - 8, -x + u*m - 2 = x. Calculate the remainder when 18 is divided by a(x).
8
What is the remainder when ((-22)/(-4))/(6/24) - 3 is divided by 12?
7
Let z(m) = 6*m**2 + 1. Let n be z(1). Let b = n + -4. Suppose -17*x = -74 - 11. Calculate the remainder when x is divided by b.
2
Suppose -4*l = 241 - 913. What is the remainder when l is divided by 34?
32
Suppose 3*t = -5*w - 4 - 14, t - 28 = 4*w. Calculate the remainder when 36 is divided by 13/1 + w + 6.
10
Suppose 0*i = 4*i. Let v = 11 + -6. Suppose -2*o + 5*y + 19 = -4*o, v*y + 25 = i. Calculate the remainder when 8 is divided by o.
2
Let z(y) = -2*y - 4. Let o be z(3). Let g be (24/(-15))/(4/o). Suppose 0*x = g*x - 20. What is the remainder when x is divided by 3?
2
Let h = -15 - -26. Suppose 0 = -5*f - 44 + 144. Calculate the remainder when f is divided by h.
9
Suppose 0 = -3*j - 3*j + 24. Suppose -j*x + 26 = -50. Calculate the remainder when 37 is divided by x.
18
Suppose -3*d + 82 = 3*a + 2*a, -3*d = 2*a - 31. Calculate the remainder when 101 is divided by a.
16
Suppose 5*l - 86 + 26 = -5*d, 2*l - 44 = -4*d. Calculate the remainder when (-2 - 76)*(-1)/2 is divided by d.
9
Let m be ((-2)/4)/((-4)/48). Let w = 8 - m. What is the remainder when 2 is divided by w?
0
Suppose 4*a + 4*f = -a + 206, 3*a = 5*f + 131. Calculate the remainder when a is divided by 87/4 + (-1)/(-4).
20
Let i = 281 + -199. Calculate the remainder when i is divided by 17.
14
Let m = -8 + 18. Calculate the remainder when 29 is divided by m.
9
Let z = 139 - 81. Calculate the remainder when z is divided by (-4 - -5)*(-3 + 23).
18
Suppose -7 = -5*x + 2*i - 3*i, -2*x - 11 = 5*i. Suppose -x*n - 57 = -5*n. Suppose 2*o = 45 + 27. What is the remainder when o is divided by n?
17
Let g = 16 + 7. Calculate the remainder when g is divided by 13.
10
Suppose 0 = -5*l + 3*l. Suppose -q - q + 34 = l. Calculate the remainder when q is divided by 9.
8
Suppose p = -3*k - 118, 4*k - 4*p + 2*p = -164. Let d = k - -80. Calculate the remainder when d is divided by (7/(-2))/(1/(-6)).
19
Let d = 62 - -15. Calculate the remainder when d is divided by 20.
17
Suppose 5*w - 57 = -l + 29, -26 = -w + 2*l. Let s be 8/(-3)*w/(-4). Suppose -t + s = t. Calculate the remainder when 16 is divided by t.
4
Suppose 4*z + 10 = 122. Calculate the remainder when 110 is divided by z.
26
Suppose u + 3 - 5 = 0. What is the remainder when 113 is divided by (-445)/(-15) - u/3?
26
Let g be (-2)/((-1)/((-1)/(-1))). Suppose 2*p + 0*w = 2*w + 38, 0 = 5*p - g*w - 95. What is the remainder when 55 is divided by p?
17
Let r = -105 - -122. Suppose 0 = -2*a + 2*m + 14, -a - 2*a = -m - 19. What is the remainder when r is divided by a?
5
Suppose u + 3*u + 129 = 5*w, 0 = -2*w - 3*u + 47. Suppose 4*a + 13 = -7, 4*a = 4*k - 48. What is the remainder when w is divided by k?
4
Let n(h) = 2*h**2 + 3*h + 3. Calculate the remainder when 22 is divided by n(-3).
10
Let h = 32 + -25. Let b(u) = u**2 + 25. Let k be b(0). Calculate the remainder when (k - 0) + 0/1 is divided by h.
4
Suppose 3*n = -3*t + 183, 0 = -4*n - 0*n - 8. Calculate the remainder when t is divided by 11.
8
Let m = 5 - 6. Let d be m*(0 - -2) + 10. Suppose -2*o = -4*o + d. What is the remainder when 6 is divided by o?
2
Suppose 0 = 3*i + d - 1, 0 = 5*i - 4*d - 13. Let v(k) = 6*k**2 - 2*k + 1. What is the remainder when 19 is divided by v(i)?
4
Let v = 63 + -29. What is the remainder when 203 is divided by v?
33
Let u = 49 - 34. Suppose o + 39 = 2*i, -o - 4*o = -u. Let v = i + -8. What is the remainder when 37 is divided by v?
11
Suppose 5*f + 8 = 3. Let b(a) = -40*a + 1. Calculate the remainder when b(f) is divided by 11.
8
What is the remainder when 4 + (-2)/2*-74 is divided by 16?
14
Let l = -61 - -116. Calculate the remainder when l is divided by 14.
13
Let s(x) = 2*x - 9. Let b be ((-2)/7)/((-1)/7). Suppose -b*y + p + 17 = -y, -5*p + 67 = 3*y. Calculate the remainder when y is divided by s(7).
4
Let h(f) = -2*f + 1. Let p be h(2). Let t = 2 - p. Suppose -2*z + 27 = t*y, 8 = y - 0*z + 3*z. What is the remainder when 13 is divided by y?
3
Let u(f) = 2*f - 5. Let n be u(8). Suppose n = g - 7. Suppose -3*r = 2 - 104. Calculate the remainder when r is divided by g.
16
Let o(f) = 10*f - 15. What is the remainder when o(6) is divided by 19?
7
Let z be -1 + 1 - 11*-5. Suppose 0*p - z = -5*p - 4*c, 0 = 5*c - 25. Suppose 0 = u + 2*d - 0*d - 9, u - d = 0. Calculate the remainder when p is divided by u.
1
Let y be -1*2/4*-2. What is the remainder when 50 is divided by y + 16 + (-8 - -8)?
16
Let q(c) = -11*c. Let d be q(-3). Suppose -3*y + 21 = -d. Let b = 19 + 14. Calculate the remainder when b is divided by y.
15
Suppose 110 = p + 5*f, -3*f + 7*f + 344 = 4*p. Suppose 5*v = -15 + p. Calculate the remainder when 44 is divided by v.
14
Suppose 4*n - 240 = -n. Let v(o) = 4*o**2 - 4*o + 1. Let f be (10 + -11)*(-1 - 2). Calculate the remainder when n is divided by v(f).
23
Let l = 14 + -10. Suppose -8*f + l = -7*f. Calculate the remainder when f is divided by (2 - -3)*6/10.
1
Let b = 38 + -18. Calculate the remainder when 78 is divided by b.
18
Let t(h) = h**3 - 7*h**2 + 7*h - 5. Let z be t(6). Let s = z + -13. Calculate the remainder when (-3)/s + 597/12 is divided by 17.
16
Let s(a) = a**3 - 2*a**2 - 2*a - 4. Calculate the remainder when 58 is divided by s(4).
18
Let p be (-2)/8 - 75/(-12). Suppose p*t - t - 60 = 0. Calculate the remainder when (-4 - -4) + 36 - 1 is divided by t.
11
Let i = -3 + 6. Suppose m = -q + 3, -m - i = -5*q - 0. What is the remainder when (q - 0)/((-2)/(-24)) is divided by 7?
5
Suppose -s + 9 = -4*s. Let r = s - -6. Calculate the remainder when 9/2*8/12 is divided by r.
0
Let u(w) = w**2 - 4*w - 2. Let q be u(5). Let m be q/6*(1 - -87). Suppose -z = 4*o - 3*z - 56, 4*z - m = -5*o. Calculate the remainder when 22 is divided by o.
10
Let r(v) be the second derivative of -v**5/2 + v**4/12 + v**3/6 + v. What is the remainder when 29 is divided by r(-1)?
9
Suppose 0 = -9*p + 11*p - 26. What is the remainder when 24 is divided by p?
11
Let w = 133 - 124. Calculate the remainder when 11 is divided by w.
2
Suppose 0 = -2*q - 8 + 130. What is the remainder when q is divided by 31?
30
Let g(q) = q**3 + 10*q**2 + 10*q + 11. Suppose 0 = -4*d + w + 3, 0*d = 3*d + 5*w - 31. What is the remainder when g(-9) is divided by d?
0
Suppose 2*a + 2 = 0, 0 = -4*g + 3*a - 0*a - 197. Let j = -18 - g. What is the remainder when j is divided by 10/35 + (-75)/(-7)?
10
Let f be 7 + -3 + (-4 - -3). Suppose -f*c + 12 = -33. Calculate the remainder when c is divided by 4.
3
Suppose -68 = -4*c - 2*p, 2*p + 52 + 8 = 4*c. Let i(b) = 2*b + 1. What is the remainder when c is divided by i(4)?
7
Suppose -s - 2*h - 4 = 0, 5*h + 5 = -3*s - 2. Suppose -5*y + 80 = -25. Calculate the remainder when y is divided by (s/9)/(2/33).
10
Suppose p - 78 = 4*d, 5*p = -d + 2*d + 314. Let u(g) = -6*g - 9. Let f = -2 - 3. Calculate the remainder when p is divided by u(f).
20
Suppose -4*i + 12 + 18 = -5*y, -5*y - 10 = -2*i. Suppose -3*g - 8 = -5*g. Calculate the remainder when i is divided by g.
2
Let k(m) = -10*m - 3. Calculate the remainder when k(-6) is divided by 20.
17
Suppose 4*o = -2*y - 12, -4*o - 4 = 4*y - 0. Calculate the remainder when y is divided by 2.
0
Let v(u) = 53*u**2 + 2*u + 2. Let g(f) = f**3 - 8*f**2 + 10*f - 7. Calculate the remainder when v(-1) is divided by g(7).
11
What is the remainder when 29 is divided by 6/(-18) + 49/3?
13
Suppose 0 = -5*d - 0*d + 25. Suppose -d*k = 15 - 65. What is the remainder when k is divided by 3?
1
Let d(f) = -3*f + 6. What is the remainder when 80 is divided by d(-7)?
26
Let j = -7 + 7. Let p = 4 - j. Suppose 3*h + 3 = p*h. What is the remainder when 7 is divided by h?
1
Calculate the remainder when 3/(((-9)/4)/(-3)) is divided by (-9)/2*((-14)/3 - -4).
1
Suppose 2*p - p + 5