te the remainder when 30 is divided by p.
14
Let u be 3*1 - 749/(-7). Suppose 22 = 3*s + 4*v, -v + 35 = -5*s + u. What is the remainder when s is divided by 8?
6
Suppose -11 = s + 29. Suppose 82 + 66 = 2*h. Let b = s + h. Calculate the remainder when b is divided by 12.
10
Suppose 3 - 167 = -4*q. Let b = -23 + q. Calculate the remainder when 52 is divided by b.
16
Suppose -4*i = 3*j - 272, 3*j = -3*i + 195 + 12. Let m(p) = -2*p - 1. Let g be m(-3). Suppose 0*s + g*s = 110. What is the remainder when i is divided by s?
21
Calculate the remainder when 5 - -2 - (3 - 1) is divided by 4.
1
Suppose 5*z = -4*x + 37 + 73, -4*x + 2 = -z. Suppose 5*m = 4*m + 35. Calculate the remainder when m is divided by z.
17
Let r(a) = a**3 - 5*a**2 + 4*a - 1. What is the remainder when r(5) is divided by 960/100 - -1*2/5?
9
Let i(n) = n**3 + 7*n**2 + 5*n - 7. Let t be i(-6). Let c be (-1 - -2)/t + 5. Suppose 2*f + 100 = c*f. What is the remainder when f is divided by 17?
16
Let j = -20 - -14. What is the remainder when 23 is divided by (-2)/(-2) - (j - 1)?
7
Suppose 6*n - 44 = 2*n. What is the remainder when 41 is divided by n?
8
Let h be 1 + (-1)/((-2)/4). Suppose 146 = 3*i + i + 5*d, 0 = -3*i - h*d + 108. Calculate the remainder when i is divided by (-6 - -2)*(-2 - 1).
10
Let x be ((-33)/55)/((-2)/20). Suppose 5*f = 4*s - 88, -f + 139 = x*s - s. Calculate the remainder when s is divided by 15.
12
Let o(r) = r**3 - 5*r**2 + 6*r - 6. Let s be o(4). Let b = s - -11. Calculate the remainder when 6/(-9)*111/(-2) is divided by b.
11
Let k(w) = w**2 + 2*w - 14. Calculate the remainder when 27 is divided by k(-6).
7
Let z be 2/(-8) + (-5)/(-4). Let j be z*3 + 60 + 2. Suppose -3*i - 5*q + 20 = 0, -j - 5 = -4*i + 2*q. What is the remainder when 27 is divided by i?
12
Let i = 1 - -3. Let q(h) = -h**3 + 6*h**2 - 6*h + 1. Calculate the remainder when q(4) is divided by (10/i)/((-4)/(-8)).
4
Let c = -23 - -25. Suppose 5*a + 4*r - 54 = c*r, 4*r = 8. Calculate the remainder when a is divided by 6 + -1 - (-1 + 2).
2
Suppose 2*u - 10 = 0, 2*u + u = 5*m + 40. Let r(p) = 4*p**2 + 7*p. Suppose z - b - 13 = -4*b, -32 = -2*z - 4*b. What is the remainder when r(m) is divided by z?
21
Suppose -35 = -2*o + 5. Calculate the remainder when 138 is divided by o.
18
Let c = 3 - 2. Calculate the remainder when 1 is divided by c.
0
Let s be (2 - 3/2)*-10. Let r = s - -24. Calculate the remainder when r is divided by 10.
9
Let n(h) = h. Let d(g) = 4*g + 12. Let v(z) = d(z) + n(z). Let q(b) = 3*b + 8. Let r(f) = 8*q(f) - 5*v(f). What is the remainder when 20 is divided by r(-3)?
6
Calculate the remainder when 58 is divided by 30/(-4)*(-4)/2.
13
Suppose 2 + 0 = g. Suppose 4*m - g*m = 154. Calculate the remainder when m is divided by 26.
25
Suppose -3*n = 2*t - 35, -t = 2*n - 0*t - 22. Suppose -n*b + 57 = -8*b. What is the remainder when b is divided by 15?
12
Let g(d) = -d**3 - 9*d**2 - 6*d - 21. What is the remainder when g(-9) is divided by 9?
6
Let n = -16 - -37. What is the remainder when 110 is divided by 8/(((-30)/n)/(-5))?
26
Calculate the remainder when 7/((-35)/(-15)) + 47 + 0 is divided by 26.
24
Let i = 28 + 124. What is the remainder when i/3 - 4/6 is divided by (-2 - 21/(-2))/((-4)/(-8))?
16
Calculate the remainder when 44 is divided by (1/(2/(-48)))/(-2).
8
Suppose 7*q - 2*q + 10 = 0. Let g = -9 - q. Let h = g - -14. What is the remainder when 20 is divided by h?
6
Let x(o) = 2*o**2. Let t(d) = 2*d - 8. Let q be t(6). Suppose 0 = -3*p + 2*c + 19, 2*c = -q*p - p + 5. Calculate the remainder when x(2) is divided by p.
2
Suppose 8 = 2*n - 6. Let y(b) = b**2 - 3*b + 6. Calculate the remainder when y(n) is divided by 18.
16
Let p = -3 - -7. Suppose -258 = -p*x + 82. Calculate the remainder when x is divided by 29.
27
Suppose -5*g - 23 - 67 = -4*t, 30 = t - 5*g. Calculate the remainder when 59 is divided by t.
19
Suppose 4*u = 2*s - 6, -s = -6*s - u + 15. Let r(w) = -6*w**2 + 5*w - 3. Let t be r(s). What is the remainder when (t/(-5))/((-1)/(-5)) is divided by 11?
9
Let y(r) be the second derivative of r**5/20 + r**3/6 + r**2 - r. Calculate the remainder when y(0) is divided by 1.
0
Let h(z) = -8*z**2 + 1. Let i be h(1). Let d(q) = q**2 + 4*q - 6. Let u be d(i). Suppose 3*r - u = -2*r. Calculate the remainder when 7 is divided by r.
1
Let p(m) = -m**2 - 11*m + 17. Calculate the remainder when 13 is divided by p(-12).
3
Let v = 22 + -7. Suppose -2*u + 1 = -v. What is the remainder when 15 is divided by u?
7
Suppose -b + 41 = 3*f - 1, f - 22 = -3*b. What is the remainder when f is divided by (-10)/3*(-12)/8?
3
Suppose 5*c = -0*c + 270. Suppose 3*g = 135 - c. What is the remainder when 80 is divided by g?
26
Suppose 6*h - 3*h - 63 = 0. Let w(k) = 5*k + 6. What is the remainder when w(11) is divided by h?
19
Suppose d - 20 = -0*d - 5*f, -3*d + 38 = 4*f. What is the remainder when 15 is divided by d?
5
Let w(j) = -j + 13. Let h be w(0). Let g = h + 4. Calculate the remainder when g is divided by 6.
5
Suppose -s + 36 = 10. What is the remainder when 101 is divided by s?
23
Suppose -4*r - a - 239 = -7*r, 77 = r - 3*a. Calculate the remainder when r is divided by 17.
12
Suppose -h - 1020 = -6*h. What is the remainder when 19 is divided by h/18 - 1/3?
8
Let i(p) = 6*p**2 - 2*p - 1. Let h = -1 + 0. Calculate the remainder when 11 is divided by i(h).
4
Let a be (-2)/((-8)/14)*20. Suppose 5*r - 6*q = -q + a, 2*r + 5*q = 7. What is the remainder when (-18)/12 - 43/(-2) is divided by r?
9
Suppose 0 = 4*b - 7*k + 2*k + 12, 0 = 4*b - 4*k + 8. Suppose 0 = b*u - u - 4. What is the remainder when 0 + 0 + (9 - -1) is divided by u?
2
Suppose 0 = 2*q + f - 65, q + 105 = 4*q - f. Calculate the remainder when 135 is divided by q.
33
Let h(t) = -t**2 + 8*t + 13. Let c be h(9). Calculate the remainder when 6/c*244/6 is divided by 16.
13
Suppose -3*d - 20 = -269. What is the remainder when d is divided by 21?
20
Let c(w) = 81*w. Let d be c(1). Let j(m) = m**3 + 4*m**2 + 4*m + 3. Let f be j(-2). Suppose 0*h - d = -f*h. Calculate the remainder when h is divided by 14.
13
Let f(k) = -2*k - 6. Let a be f(-6). Let t be (-1)/(-3) - 14/a. What is the remainder when 9 is divided by 1/(-1)*(-3 + t)?
4
Let i be (-1*3)/(6/68). What is the remainder when 13 is divided by (-5)/20 + i/(-8)?
1
Suppose 8 = 3*t + 2*h, h + 22 = 5*t - 0*h. Suppose 0*c + 3*c - t*y = 32, 4*c - 36 = 2*y. Calculate the remainder when c is divided by 5.
3
Let q = -12 + 2. Let h(f) = -f**3 - 9*f**2 + 8*f - 8. Let s(m) = -23*m**3 + m. What is the remainder when s(-1) is divided by h(q)?
10
Suppose 4*n + 12 = 332. Suppose -5*o = 2*a - 58, 2*a + a + 4*o = n. Let l = a + 12. What is the remainder when l is divided by 19?
17
Let x = 1 - -2. Suppose 2*p + x*p = 100. Calculate the remainder when 39 is divided by p.
19
Let c = 12 + -1. What is the remainder when c is divided by -2*2/(-18) + 884/153?
5
Let q(w) be the first derivative of 10*w**2 - 4*w + 1. Let g = 57 - 38. Calculate the remainder when q(3) is divided by g.
18
Suppose 6*f = 9*f - 21. Let h = -31 - -51. What is the remainder when h is divided by f?
6
Let r be (-29)/4 + 2/8. Let f(i) = i**2 + 5*i + 1. What is the remainder when (-3)/4 + (-1750)/(-40) is divided by f(r)?
13
Suppose -3*r = 2*r. Suppose -3*p - 79 = -7*p - 3*w, r = -3*p + w + 69. Calculate the remainder when p is divided by 6.
4
Suppose 3*j = 5*j - 36. What is the remainder when 34 is divided by j?
16
Let m = 1 - -1. Let s be m*(-1 - -1 - -1). Suppose -3*z + 38 + 42 = 4*l, s*z - 107 = -5*l. What is the remainder when l is divided by 12?
11
What is the remainder when (-14)/63 - (-722)/9 is divided by 14?
10
Suppose -2*a = -3*a. Suppose -2*r - 28 = -4*p, p - 2*p + 3*r + 7 = a. Let k = 33 + -20. Calculate the remainder when k is divided by p.
6
Let r(h) = -9*h - 11. Calculate the remainder when r(-9) is divided by 18.
16
Let y(x) = -2*x + 29. Calculate the remainder when 11 is divided by y(12).
1
Let o = 74 - 54. Calculate the remainder when 55 is divided by o.
15
Let r(b) = -b**2 - 5*b + 1. Let i be r(-6). Let x(c) = -5*c - 7. Calculate the remainder when (34/(-3))/((-1)/3) is divided by x(i).
16
Suppose 3*x = 4*x - g - 5, -g = -2*x + 6. Suppose -x + 71 = 2*u. Calculate the remainder when 138 is divided by u.
33
Suppose 6*a - 105 = a. Le