p(x) = x**3 + 4*x**2 - x - 1. Let c be p(-3). Let r = c - 0. What is the remainder when 42 - (8/(-4) + 3) is divided by r?
8
Suppose -v + 37 = 1. Suppose -a + v = a. Calculate the remainder when a + (1 + -2)/1 is divided by 10.
7
Let o be 13 + -8 - (1 + 1). Let u(d) = 1 + 5*d + o - 2. Calculate the remainder when u(2) is divided by 7.
5
Suppose -4*s = -11 + 15. Let r = s + 3. Suppose -5*h + r*b = -7, 3*h - 3*b - 29 = -8*b. What is the remainder when 3 is divided by h?
0
Calculate the remainder when 259 is divided by 13*(-1)/3*36/(-6).
25
Let v be 1/(-4)*-6*8*2. Suppose 3*h - 4*x - v = 24, -5*h = x - 57. Calculate the remainder when 20 is divided by h.
8
Let j(c) = -2*c - 2. Suppose 9 = -3*a + 180. What is the remainder when a is divided by j(-7)?
9
Suppose 2*q - 3*p - 54 = -7*p, 0 = 3*q - 2*p - 113. What is the remainder when 136 is divided by q?
31
Suppose 25 = 5*t, -2*m + 10 = -3*m - 2*t. Let d = 21 - m. What is the remainder when d is divided by 11?
8
Suppose 2*b - 4*q = -20, 3*b - 2*q = 6*b - 10. Suppose 3*f = 5*i - 64, 16 = i - b*f + f. Calculate the remainder when 95 is divided by i.
11
Suppose -3*t + 2*f + f = -42, 6 = 3*f. Calculate the remainder when 3087 is divided by t.
15
Let k(o) = o**2 - 4*o + 7. Let f be k(3). Suppose 0*b - 24 = -f*b. What is the remainder when (558/27)/(4/b) is divided by 8?
7
Suppose -2*l + 5 = -11. Let s = 11 - 3. Calculate the remainder when s is divided by ((-20)/l)/(2/(-4)).
3
Let y = 2 + 5. What is the remainder when (13/3)/(((-25)/(-30))/5) is divided by y?
5
Let j = 364 + -315. What is the remainder when 49 is divided by j?
0
Calculate the remainder when 25/5 - 8 - -4 is divided by 1.
0
Let t(g) = 3*g**2 + 6*g + 1. What is the remainder when t(-6) is divided by 9?
1
Suppose 7 = -w + 8. Let u be (-1)/(300/303 - w). Suppose 5*l - u = -4*k - 12, 4*l = -12. Calculate the remainder when 101 is divided by k.
23
Let m be 1*(-1 + 2)*-1. Calculate the remainder when (-1)/(32/34 + m) is divided by (-91)/(-26)*(-48)/(-28).
5
Let n(t) = -2*t**2 + 23*t + 24. Calculate the remainder when 513 is divided by n(12).
9
Calculate the remainder when ((-3)/(-2))/((315/972)/35) is divided by 56.
50
Suppose -68*b + 63*b + 100 = 0. Suppose -5*o + 576 = 5*i + 71, 2*o = 2*i + 190. Calculate the remainder when o is divided by b.
18
Suppose -x = 2*x - 12. Suppose 2*r + 4*a - 2 = a, -x*r + a = -18. Suppose -4*k + 54 = 3*w, -w = w + r*k - 32. What is the remainder when 42 is divided by w?
20
Let n be 3*-1*(-4)/(-12). What is the remainder when 9 is divided by 3 - n/((-3)/(-6))?
4
Let w = -18 - -13. Let y = w - -44. Suppose 8 + 22 = 3*r. Calculate the remainder when y is divided by r.
9
Suppose -4*w + 90 = w. Let n(o) = o**3 - 2*o**2 - 3*o + 49. What is the remainder when n(0) is divided by w?
13
Suppose -d = -4*d. Suppose -24 = 2*n - d*n. Let m = -11 - n. Calculate the remainder when 2 is divided by m.
0
Let p = 41 - 17. Suppose 3*h = -6, -20 = -2*t - 5*h + p. Let k = 538 - 486. Calculate the remainder when k is divided by t.
25
Let z(u) = 5*u - 101. What is the remainder when z(58) is divided by 50?
39
Let s(k) = -8*k - 85. Let o(q) = q**3 + q**2 - q + 21. Calculate the remainder when s(-21) is divided by o(0).
20
Suppose 0 = -40*n + 39*n - 15. Let h(b) = b**2 + 11*b + 33. Calculate the remainder when h(n) is divided by 25.
18
Suppose 5*s + 19 + 14 = 3*v, 0 = -5*s + 15. What is the remainder when 25 - (7 + (-15 - -5)) is divided by v?
12
Let x(c) = c**2 + 9*c - 76. Let k = 11 - 6. What is the remainder when x(7) is divided by k?
1
Suppose 0 = 6*f + 22 - 22. Suppose f = -54*s + 55*s - 17. Calculate the remainder when s is divided by (0 + (-10)/(-6))*6.
7
Let q(w) = -w**3 - 5*w**2 + 5*w - 4. Let u be q(-6). Let r(d) = -d**3 - 8*d**2 - 2*d - 9. Calculate the remainder when r(-9) is divided by -2*((-69)/u)/3.
21
Let n = 19 + -15. Let o be 1/(10/9 - 1). What is the remainder when 6*(o/6 + 0) is divided by n?
1
Let p = 36 - 34. Calculate the remainder when 22 - (2/p - 1) is divided by 13.
9
Let p(h) = h**3 + 15*h**2 + 24*h + 13. Calculate the remainder when p(-9) is divided by 19.
17
Suppose 0 = -7*u - 2*z + 1681, -3*u - 5*z + 321 = -387. Calculate the remainder when u is divided by 63.
52
Let c(b) = -2*b + 3. Calculate the remainder when (-30)/20*100/(-6) is divided by c(-3).
7
Let y(g) = -g**3 + 3 + 4 + 0*g - 3 + 4*g**2 + 6*g. Calculate the remainder when 16 is divided by y(5).
7
Suppose -4*p + 4*q - 128 = 0, -3*q - q - 46 = 2*p. Let j = p - -35. What is the remainder when j is divided by (-6)/(-4)*(4 - 2)?
0
Suppose 7*a + 102 = 13*a. What is the remainder when (2 - 15/6)*(-94)/1 is divided by a?
13
Let h(n) = n**2 + 15*n + 39. Let t be h(-9). Let c = t + 21. Calculate the remainder when 76 is divided by c.
4
Suppose -28*o - 706 = -2834. What is the remainder when o is divided by 14?
6
Let a(s) = -7*s**3 + s**2 + s + 1. Let k be a(-1). Let m be k/(-20) + (-724)/(-10). Suppose -18*v = -14*v - m. What is the remainder when v is divided by 5?
3
Suppose 4*h = 9*h - 25. Suppose -u = -h*u + 88. Calculate the remainder when 64 is divided by u.
20
Suppose -111 = -5*w + 2*n, 14 + 11 = w + n. Calculate the remainder when 482 is divided by w.
22
Suppose -56 = 9*i - 13*i. Let c = 8 - 6. Suppose 2*j = 82 - c. What is the remainder when j is divided by i?
12
Calculate the remainder when 8/28 - (3 - (-2288)/(-28)) is divided by 41.
38
Suppose -d = 3*i - 222, 0 = 5*i - 7*i - 4*d + 158. Calculate the remainder when i is divided by 26.
21
Let b(s) = -s**3 - 7*s**2 - 7*s + 4. Let d be (-15)/10*(1 + -3). Suppose c - d*x - 11 = -c, 0 = -c - x + 3. Calculate the remainder when b(-6) is divided by c.
2
Let v = -308 + 320. Let m = -277 - -406. Calculate the remainder when m is divided by v.
9
Suppose 4*b = 5*w + 289, -4*b + 0*w = 4*w - 244. Let m = 76 - b. Let j(l) = 29*l - 1. What is the remainder when j(1) is divided by m?
8
Suppose -2*w - f - 4*f = -41, 3*f - 9 = 0. Calculate the remainder when w is divided by 2/4 + 34/4.
4
Suppose 133 = 4*m + 25. Suppose -3*i = -m + 9. Calculate the remainder when 12 is divided by i.
0
Let y(v) = 12*v**3 - 8 + 19*v**2 + 13*v**3 - 24*v**3 + 16*v. What is the remainder when 48 is divided by y(-18)?
20
Let i(o) = 350*o**2 + 79*o + 78. Calculate the remainder when i(-1) is divided by 44.
41
Let j = 1521 + -1496. Calculate the remainder when 210 is divided by j.
10
Let f = 7 - 7. Suppose 5*p + 3*s - 29 = f, 2*p = 2*s + 15 + 3. Calculate the remainder when 3/(-2)*4/6*-26 is divided by p.
5
Suppose 2*p + o - 46 = 0, 0*p + 2*o = p - 18. Let b(k) = 4*k**3 + k**2 - 3*k - 2. Calculate the remainder when b(3) is divided by p.
18
What is the remainder when 179 is divided by (6/5)/(2/65)?
23
Let c = -367 - -515. Suppose 5*y = y + c. What is the remainder when y is divided by 5?
2
Let g = -10 + 17. Let y be (-96)/(-2) + 21/g. Calculate the remainder when y/(-2)*18/(-27) is divided by 5.
2
Suppose -p = 284 - 312. What is the remainder when 42 is divided by p?
14
Suppose 65*q - 2268 = 38*q. Calculate the remainder when q is divided by 17.
16
Suppose -3*t + 4*u = u - 39, 5*t - 93 = -2*u. Let s(z) = z**3 - 18*z**2 + 20*z - 20. What is the remainder when s(t) is divided by 8?
7
Let w = -203 + 223. What is the remainder when 197 is divided by w?
17
Suppose -12 = -2*w + 3*t, 4*w - 2*t = -0 + 8. Suppose -2*h + h + 11 = w. Calculate the remainder when 30 is divided by h.
8
Suppose 2*v - 10 = -3*n, 3*n - 5 = 2*n + v. Suppose b + 0 - n = 0. Suppose -2*s + 8 = 0, -4*q - b*s - 14 = -78. Calculate the remainder when q is divided by 7.
5
Let m = 274 - 164. Suppose -s = 4*s - m. Let f = s - -2. What is the remainder when 94 is divided by f?
22
Let j = 28 - 8. Suppose 0 = 6*t - 11 - 7. Suppose 2 = 2*l + t*u - 3, -u - 31 = -4*l. Calculate the remainder when j is divided by l.
6
Let i(h) = h - 11. What is the remainder when 91 is divided by i(35)?
19
Let r = 0 + -1. Suppose 3*o = -3*k + 42, 2*k + 2*o - 34 = -3*o. Calculate the remainder when 30 is divided by k*r/(-2) + 2.
6
Suppose 0 = 98*t - 45*t - 371. Calculate the remainder when 94 is divided by t.
3
Suppose o - 16 = -9. Suppose -2*z = -z + v - 26, -18 = -z + 3*v. What is the remainder when z is divided by o?
3
Suppose 9*q - 300 = 5*q. Let s = q - 57. What is the remainder when s is divided by 12?