431. Calculate the remainder when p is divided by (-1)/(n/344) + -8.
34
Let h(p) = -p**3 + 36*p**2 + 24*p + 709. Calculate the remainder when 1133 is divided by h(37).
221
Let h(k) = k**3 + 9*k**2 - 4*k - 9. Let o be -3*9 + -8 + 8. Let s = o - -21. What is the remainder when h(s) is divided by 25?
23
Suppose 5*d + 50 = -5*p, -2*d - 5*p = -p + 22. What is the remainder when (-3)/d - ((-3052)/(-6))/(-7) is divided by 44?
29
Let i(r) = -r**2 + 25*r - 16. Calculate the remainder when 324 is divided by i(7).
104
Let j = -235 - -303. Calculate the remainder when 79 is divided by j.
11
What is the remainder when (-342)/1083 - 19253/(-19) is divided by 68?
61
Suppose -241*u = 47809 - 368580. What is the remainder when u is divided by 67?
58
Suppose f - 5*d - 615 = 0, -2*d = -4*f - d + 2422. Let a be 1/3 - f/33. What is the remainder when (-1029)/a + 3/(-18) is divided by 15?
12
Let y = -559 - -830. What is the remainder when y is divided by 36?
19
Let d(z) = -4*z**2 - 4*z**2 - 3 - 46*z + 2 + 1 - 3. What is the remainder when d(-5) is divided by 6?
3
Suppose 87 = p + 47. Let t be (1 - -8)*16/(-12). Let q(r) = r**2 + 11*r + 2. Calculate the remainder when p is divided by q(t).
12
What is the remainder when 27 is divided by 6*280/42*(-4)/(-10)?
11
Let y = -3830 - -4307. What is the remainder when y is divided by 172?
133
Let z(u) = 4*u + 110. Suppose -3*f = 2*c + 18 + 14, -f = 0. Calculate the remainder when 88 is divided by z(c).
42
Suppose -31 = 5*n + 2*i, -9 = i - 11. What is the remainder when 3 + n + (0 - (-127 + 4)) is divided by 12?
11
Let n(f) = -f**2 + 4 - 4*f - 2*f + 16. Let l = -438 + 431. What is the remainder when n(l) is divided by 7?
6
Let p = 12 + -7. Let s = -202 + 207. Suppose s*y + p*w - 230 = 0, 5*w + 192 = 4*y - 28. What is the remainder when y is divided by 8?
2
Suppose 74*j - 42964 = -10*j - 16252. Calculate the remainder when j is divided by 34.
12
Let r = 18 - 5. Let t = 85652 - 85512. Calculate the remainder when t is divided by r.
10
Let y = 367 - 351. Let s(g) = g**3 - 12*g**2 - 50*g + 46. What is the remainder when s(y) is divided by 16?
14
Let t(s) = s**3 + 14*s**2 + 16*s - 28. Let b = 328 - 337. Calculate the remainder when t(b) is divided by 39.
38
Suppose -3*p - 40*g + 39*g + 798 = 0, -p + 5*g = -298. What is the remainder when p is divided by 267?
1
Let m(h) = -h**3 - 6*h**2 - 4*h - 9. Suppose -2 = z - 52. Let f = z + -56. What is the remainder when 43 is divided by m(f)?
13
Let m(p) = 3*p + 57. Let q(i) = 6*i**2 - 5*i + 4. Let z be q(1). Suppose z*l - 128 = 3*l. Calculate the remainder when l is divided by m(-13).
10
Let j(d) = 2*d**3 - 6*d**2. Let n(h) = -7*h + 0 - 18 + 8 - 21. Let l be n(-5). What is the remainder when 156 is divided by j(l)?
28
Let g = -3892 - -3962. Calculate the remainder when g is divided by 66.
4
Calculate the remainder when 1503/334*4*289 is divided by 43.
42
Suppose -2*a + 5*k - 4*k = -60, -4*k - 116 = -4*a. Calculate the remainder when 112 is divided by a.
19
Suppose 4*f = -6*k + 72, -f = 3*k - 23 - 10. What is the remainder when 35 is divided by k?
5
Suppose 71 = f + l, 55*f = 57*f + 3*l - 153. Let v = 171 - 58. What is the remainder when v is divided by f?
53
What is the remainder when 1982 is divided by -1 - (-12 + -1) - (-17)/((-119)/(-28))?
14
What is the remainder when 1248 is divided by (-2 - 112/6)/((114/117)/(-19))?
39
Let t be (302/15 - (-6)/30)*3. Suppose -t*y + 123 = -58*y. What is the remainder when y is divided by 11?
8
Suppose -5*w + 4*l = -71 - 145, 4*l = -4*w + 144. Suppose 11*g + 228 = 14*g. Calculate the remainder when g is divided by w.
36
Let o = 11542 + -11088. What is the remainder when o is divided by 32?
6
Suppose -74 = 8*z - 10*z. Let v be (-4)/6*(-12 - 39). Let w = z - v. Calculate the remainder when 5 is divided by w.
2
Let q(m) be the first derivative of m**4/4 - 5*m**3/3 - m**2 + 10*m - 29. Calculate the remainder when q(6) is divided by 3 + -3 - (-8 + -1).
7
Let m be -1*(4 + 15/(-3)). Let u(l) = l + 12 - m + 8. What is the remainder when 42 is divided by u(4)?
19
Let s(w) = -8*w**3 + 6*w**2 + 2*w + 6. Let q be s(3). Let y = q - -180. Calculate the remainder when y is divided by 17.
13
Let y = 350 + -290. Suppose 0 = -5*q - y + 110. Suppose -3*a + 114 = -0*a. Calculate the remainder when a is divided by q.
8
Suppose -q + 862 - 842 = 0. Let h = -18 - 0. Let r = 25 + h. Calculate the remainder when q is divided by r.
6
Let m(v) = -v**3 + 46*v**2 + 202*v - 93. Calculate the remainder when 148 is divided by m(50).
1
Suppose 2 + 4 = 2*v - d, 2*d + 8 = 0. What is the remainder when ((-34)/8*v)/(1/(-100)) is divided by 71?
70
Suppose 25 = 9*s + 34. What is the remainder when (s - (-30)/26) + 49912/221 is divided by 4?
2
Let w(b) = -184*b - 7136. What is the remainder when 2450 is divided by w(-41)?
2
Let w = 2918 - 2879. Let o(v) = v**3 + 543. What is the remainder when o(0) is divided by w?
36
Let g be (54/(-36))/((-1)/2). Suppose 0 = -g*l + 15, -3*l = w + 25 - 153. What is the remainder when w is divided by 19?
18
Let n(o) = 908*o**3 + 48*o**2 - 49*o. What is the remainder when n(1) is divided by 53?
6
Let x(h) = 3*h**2 + 16*h - 706. What is the remainder when 224 is divided by x(13)?
8
Suppose -10*n + 205 - 145 = 0. Suppose 0 = 2*m - 18 - 12. What is the remainder when m is divided by n?
3
Let k(r) = -58*r. Suppose n - 4*n = 5*l + 1, l = 4*n - 14. Suppose -4 + 7 = -n*u. What is the remainder when k(u) is divided by 15?
13
Let t be -1*(-16 - -20 - -11*15). Let d = 191 + t. What is the remainder when 52 is divided by d?
8
Let p be 6*2/(-114) - 346/(-38). Let w(i) = -i**2 + 11*i + 18. Calculate the remainder when w(p) is divided by 27.
9
Let y(b) = 3*b**2 - 10*b - 8. Calculate the remainder when (-27)/(-6)*1/((-63)/(-3864)) is divided by y(6).
36
Let b = -28 + 71. Let f(y) = 21*y - 335. What is the remainder when f(22) is divided by b?
41
Let q(u) = -u**3 - 16*u**2 - 15*u + 25. Let s(n) = -13*n**2 - 2. Let p be s(1). What is the remainder when q(p) is divided by (-40)/(-3) - (-1)/(-3)?
12
Let n be (-2*(-15)/12)/(2/4). Suppose -279 = -2*u + a, -u - 3*a = -n*a - 132. What is the remainder when u is divided by 25?
17
Let f(m) be the third derivative of m**5/20 - 5*m**4/12 - 29*m**3/6 + 4*m**2 - 4. What is the remainder when 149 is divided by f(6)?
16
Let u = -25231 + 25439. What is the remainder when 638 is divided by u?
14
Let j = 229 - 163. Suppose 15*y = 4*y + j. Calculate the remainder when 11 is divided by y.
5
Let r(m) = 2*m**3 + m**2 - 1. Calculate the remainder when (1/(1 - 2))/((-21)/777) is divided by r(2).
18
Suppose 5*o - 2*k - 81 = 0, -k = 99*o - 94*o - 72. What is the remainder when 239 is divided by o?
14
Suppose 0 = -b - 2*l + 179, -3*l + 5*l = -6. Calculate the remainder when b is divided by 27.
23
Let b = -34 + 50. Suppose 0 = 2*g + 4*g + 240 - 276. Calculate the remainder when b is divided by g.
4
Suppose 189 + 836 = 5*t. Let k(z) = -z**2 + 29*z - 31. Calculate the remainder when t is divided by k(27).
21
Let f(i) = i**2 - 134*i + 3612. Calculate the remainder when 2481 is divided by f(37).
20
Let y(x) = -5*x**3 - 322*x**2 + 190*x - 112. Calculate the remainder when 661 is divided by y(-65).
22
Suppose -5*n = 42*n - 33182. What is the remainder when n is divided by 6?
4
Let b(i) = 4*i**3 + 255*i**2 - 65*i - 55. Calculate the remainder when 3626 is divided by b(-64).
8
Suppose -36*r = -24*r - 1536. Let j = r + -118. What is the remainder when 1/2 - (-3 - (-333)/(-6)) is divided by j?
9
Let j(p) = -p**3 + 11*p**2 + 18*p + 14. Let s be j(12). Suppose -3*u + s = 3*c - 82, -c = -u - 56. What is the remainder when c is divided by 19?
18
Let l = 506 - 259. Let c = -694 + 563. Let z = l + c. Calculate the remainder when z is divided by 15.
11
Let b(v) = v**3 - 8*v**2 + 183*v - 20. What is the remainder when b(12) is divided by 17?
15
Suppose 100 = 5*k - 3*k. Let h(q) = -3*q**2 - 9*q + 4. Let x be h(-4). Let d = x + 22. What is the remainder when k is divided by d?
8
What is the remainder when 55 is divided by 8/(-40) + (231/5 - 3)?
12
Let x(f) = -2*f**2 + 4*f + 2. Let n be x(3). Let d(g) = -23*g**3 + 3*g + 3. What is the remainder when (-674)/(-8) - 3/n is divided by d(-1)?
16
Let t be (5/15)/((-1)/3). Suppose d = -2*q + 70 + 10, -4*q - 270 = -3*d. Calculate