en 27 is divided by p.
10
Let a(i) = i**3 - 108*i**2 + 614*i - 61. Calculate the remainder when 830 is divided by a(102).
115
Let n(s) = -14*s + 22. What is the remainder when n(-10) is divided by (-2)/(-3)*(-246)/(-4)?
39
Let c = -760 + 1012. Suppose 10*q + 8*q = c. Suppose -6*l - 163 = -4*a - 3*l, 2*a - 78 = -2*l. Calculate the remainder when a is divided by q.
12
Suppose 0 = 41*b - 19*b + 7*b - 116. Let r(i) = 2*i + 3. Let f be r(-2). Calculate the remainder when (f - (-27)/(-6))*-2 is divided by b.
3
Suppose 0 = w + 17 - 19. Suppose 223 - 65 = w*x + 4*s, 5*x + 5*s = 415. What is the remainder when x is divided by 9?
6
Let h(t) = 81 + 78 - 9*t - 50 - 8*t. Calculate the remainder when 83 is divided by h(5).
11
Suppose -451*i = -456*i + 45. Calculate the remainder when 106 is divided by i.
7
Let l = 103 - 34. Let t = 97 - l. Suppose t = -18*n + 22*n. What is the remainder when n is divided by 3?
1
Let j = -89 + 99. Calculate the remainder when 64 is divided by 345/j - 1/6*3.
30
Suppose -48*v + 10452 = 19*v. What is the remainder when v is divided by 64?
28
Let q(f) = -f**3 - 17*f**2 - 2*f + 2. Let u be q(-17). Let h = u + 2. What is the remainder when h is divided by -2 - (-2 + (-16 + -6 - -2))?
18
What is the remainder when 505 is divided by ((-1)/(-2))/(7/70)?
0
Let t = -23 - -36. Let h = -26 - -32. Calculate the remainder when -387*((-14)/h)/7 is divided by t.
12
Suppose -73 = -j - 43*i + 39*i, -2*i + 83 = j. What is the remainder when 556 is divided by j?
91
Suppose 0 = y - 127 - 21. Suppose 84 = t + 5*t. What is the remainder when y is divided by t/(-7) + (-17)/(-1)?
13
Suppose -24*o = -10226 + 2. What is the remainder when 50 is divided by (o/(-18) + 5)*6/(-4)?
22
Suppose -19*v = -16*v - 306. Let m = 199 - v. Suppose 3*a + 4*j - m = 0, 3*a = -0*j + 4*j + 89. Calculate the remainder when a is divided by 8.
7
Suppose -964 = 18*d - 22*d. What is the remainder when d is divided by 133?
108
Suppose 926809 - 149625 = -o + 33*o. Calculate the remainder when o is divided by 48.
47
Suppose 0*s - 3*s + 8 = 5*g, -5*s + 26 = 2*g. Calculate the remainder when ((-378)/(-24))/(189/84) is divided by (-2)/s*(-6 - 0).
1
Suppose 2*a - 3*a - 15 = 5*l, -4*l - 10 = a. What is the remainder when -2 + (-1198)/(-4) + 15/a is divided by 20?
19
Suppose -4*q = -15 - 1. Suppose 227*h - 10 = -2*z + 231*h, -4 = -2*h. Calculate the remainder when z is divided by q.
1
Let r = 76 - 83. Let m(g) = 2*g**2 + 14*g + 22. What is the remainder when 39 is divided by m(r)?
17
Suppose 0 = 5*h, 309 - 884 = -5*i + h. Calculate the remainder when 919 is divided by i.
114
Suppose 0 = -421*g + 3015 + 23929. Calculate the remainder when 1052 is divided by g.
28
Suppose -750 = -2*j + 58. Suppose m = 4*y + 5*m - j, 2*m = 0. Calculate the remainder when y is divided by 15.
11
Calculate the remainder when 970 is divided by 296*16/800*5*10/4.
8
Suppose x - 99 = -2*g, 5*x + 608*g - 523 = 605*g. What is the remainder when 974 is divided by x?
11
Let d be ((-40)/50)/((-1)/120). Suppose -4*z + d = -44. What is the remainder when 244 is divided by z?
34
Let q = -25163 - -25204. What is the remainder when 4285 is divided by q?
21
Let p = 3786 + -3777. What is the remainder when 104 is divided by p?
5
What is the remainder when 2816 is divided by (-1 - 562)*((-351)/9 - -38)?
1
Let p(h) = -h**3 - 4*h**2 + 19*h - 12. Let u be p(-7). Let d(g) = g**2 + 3*g - 7. What is the remainder when d(6) is divided by (6/(24/u))/(2/100)?
22
Let v(w) = -8*w + 133. What is the remainder when 86 is divided by v(12)?
12
Suppose -754*q = -487*q - 125490. What is the remainder when 2386 is divided by q?
36
Let w = -185 - -188. What is the remainder when (-4)/(-18) + ((-914)/(-18) - w) is divided by 10?
8
Suppose -2*p = -2*l + 60, -6*l + 5*l = 2*p - 30. What is the remainder when 30 is divided by ((-5)/((-30)/(-11)))/((-5)/l)?
8
Suppose 3*a - 6 = 3*w, 0 = 2*w - 5*a + 5 + 2. Calculate the remainder when 168 is divided by 47*(16/(-32))/(w/2).
27
Suppose 2*y - 22*y + 240 = 0. Suppose -y = 4*p, 0 = -5*r + 26*p - 30*p + 23. Calculate the remainder when 65 is divided by r.
2
Let m(l) = -l**2 - 8182*l + 57372. Let a = 1 + 16. What is the remainder when m(7) is divided by a?
15
Suppose -12 = -3*q + 4*f, 2*f = -q - q + 8. Suppose 0 = -0*p + q*p - 756. Let h = -62 + p. What is the remainder when h is divided by 26?
23
Let q = 2852 - 2789. Calculate the remainder when q is divided by 19.
6
Let p be 1/2*((-3 - -24) + -3). What is the remainder when (4 - 24/p)/((-3)/(-207)) is divided by 24?
20
Let w = 76 + 6. Let r = -144590 - -144604. What is the remainder when w is divided by r?
12
Let y be 5508/28 + 8*(-5)/(-140). Suppose 53 = s + t + t, -4*s - 5*t + y = 0. What is the remainder when s is divided by 16?
11
What is the remainder when 45/(-117)*-13 - -1090 is divided by 264?
39
Let r(h) = -h**3 + 30*h**2 - 211*h - 33. Calculate the remainder when 1260 is divided by r(13).
96
Calculate the remainder when (31052/23 + 8/(-92))/2 is divided by 22.
15
Suppose 9*p - 271 = -82. Let h be 2/6 + (-20)/(-12). Suppose -3*g + 233 = -h*s, 2*s = g - 4*g + 229. What is the remainder when g is divided by p?
14
Let u = 233 + -230. Let r(p) be the third derivative of p**6/40 - p**5/15 + p**4/24 + 7*p**3/6 - 2*p**2. What is the remainder when r(u) is divided by 19?
17
Suppose -116*r - 146*r + 214*r + 9504 = 0. Let w(a) = a**3 + 10*a**2 - 4*a - 6. What is the remainder when r is divided by w(-10)?
28
What is the remainder when 1969 is divided by 3*-1 - (70/(-805) - (-2748)/(-138))?
14
Let z(m) = 41*m**3 + 2*m**2 + 7*m - 2. Let q(t) = -61*t**3 - 3*t**2 - 11*t + 3. Let n(x) = 5*q(x) + 8*z(x). Calculate the remainder when 143 is divided by n(1).
23
Suppose -3*c + 832 = -2*c + 4*n, -7*c = 3*n - 5774. What is the remainder when c is divided by 12?
8
Let b = -31 + 51. Let t(o) = 558*o + 13511. What is the remainder when t(-24) is divided by b?
19
Suppose 227*x - 5963 - 141814 = 0. Calculate the remainder when x is divided by 59.
2
Let r(i) = i + 70. Suppose -s + 41 = 70. Calculate the remainder when r(s) is divided by 13.
2
Let k be 5 + (-3 - 30/(-5)). Suppose 5*w = -4*b + 95, 3*b - 44 = -2*w + 1. What is the remainder when 324/k - 6/(-4) is divided by w?
12
Suppose 3*a - 4*u - 64 = 5*a, a + 42 = -4*u. Let h = -17 - a. Suppose 105 = h*r + 25. Calculate the remainder when 29 is divided by r.
13
Calculate the remainder when (383/5)/((-8151)/390 - -21) is divided by 324.
118
Suppose -4333 + 38333 = 50*g. What is the remainder when g is divided by 136?
0
Suppose 0 + 20 = 2*h. Suppose 14*p + 55*p = -18*p + 9222. What is the remainder when p is divided by h?
6
Suppose 0 = -3*q + 7 + 20. Let p(s) = 2*s**2 + 35. Suppose 2*y + 2 = -3*b, -5*b + b - 4 = 4*y. What is the remainder when p(b) is divided by q?
8
Let v(a) = a**3 + 25*a**2 + 23*a + 37. What is the remainder when v(-5) is divided by 9?
8
Suppose -3*a - 504 = -2*u, 11*u + 1008 = 15*u + 4*a. Calculate the remainder when u is divided by 15.
12
Suppose 5*x - 3*u + 237 = 0, 4*x + 24 + 160 = u. Suppose r = 5*r - 4*f - 244, -2 = f. Let l = x + r. What is the remainder when l is divided by 4?
2
Suppose 2*c - 5 = 3*j + 17, 1 = -4*j - 3*c. Let g(k) be the first derivative of -23*k**2/2 + 21*k - 99. What is the remainder when g(j) is divided by 39?
35
Let j = -5 - -5. Let f be j + 2 + -6 - -37. Let r = 44 - f. What is the remainder when 18 is divided by r?
7
Let c(w) = -w**2 - 22*w - 24. Suppose -10 = -47*l + 46*l. Suppose l = -3*s + 2*s. Calculate the remainder when c(s) is divided by 33.
30
Let v = -1923 + 2076. What is the remainder when v is divided by 16?
9
Let a = -266 - 517. Let p = 976 + a. Suppose 2*k + 43 = 4*v - 3*v, 0 = -3*v - k + 115. Calculate the remainder when p is divided by v.
37
Suppose -7*d = -d - 306 - 642. Calculate the remainder when 11217 is divided by d.
157
Let a = -215 + 226. Let i(u) = 4*u + 122. What is the remainder when i(a) is divided by 12?
10
Let o(u) = 1960*u - 3714. Calculate the remainder when 810 is divided by o(2).
192
Let h = 4088 + -1963. Calculate the remainder when h is divided by 8.
5
Suppose -u + 37 = 6. Suppose -9*h = -10*h - 3*o + 37, 2*o = -h + 34. Suppose -u - h = -c. Calculate the remainder when c is divided by 31.
28
Let n = -153 + 271. Suppose 0 = 6*y - 328 + n.