Let j = 998 + -993. What is the remainder when ((-9)/((-54)/(-4)))/((-2)/72) is divided by j?
4
Suppose -24*f + 2624 = 944. Suppose -86*p + 368 = -f*p. Calculate the remainder when 86 is divided by p.
17
Suppose -3*c - 25*p + 24*p = -65, 3*c + 3*p = 57. What is the remainder when 945 is divided by c?
2
What is the remainder when 1*(3 - -3530)*1 + 6/1 is divided by 11?
8
Let o(w) = 2*w**3 - 25*w**2 + w - 166. Let i = 117 + -21. Let p = i - 36. Calculate the remainder when p is divided by o(13).
12
Suppose 3*l - 13*u = -14*u + 141, 0 = -4*l + 4*u + 172. Calculate the remainder when 373 is divided by l.
5
Suppose 49726 = 1841*f - 350*f - 9525 - 16790. Suppose -3*x = 266 - 1322. Calculate the remainder when x is divided by f.
46
Calculate the remainder when 1508 is divided by -8 + (-54)/(-36)*148.
10
Suppose -5*x = -n - 180, 2*x + 96*n - 60 = 94*n. Calculate the remainder when x is divided by 21.
14
Let b = -1097 - -1240. What is the remainder when 3429 is divided by b?
140
Suppose -4*t - 6*t + 216 = -224. What is the remainder when 1267 is divided by t?
35
Suppose 209 - 203 = -3*s. What is the remainder when 20 is divided by (-5)/(-10) - (s - 50/4)?
5
Let g(d) = 2*d**2 - 15*d - 12. Suppose 8*r - 10*r = -524. Calculate the remainder when r is divided by g(10).
34
Suppose -z + 0*k + 13 = 3*k, 11 = -z + 5*k. Suppose 4*i + 136 = 18*v - 13*v, 4*v - 3*i = 108. Let q = v + z. Calculate the remainder when q is divided by 10.
8
Let h(z) = 2*z**2 + 25*z - 731. Calculate the remainder when h(18) is divided by 120.
7
Suppose -119*j = -69*j - 400. Calculate the remainder when 12/30 + 983/5 is divided by j.
5
Let g(m) = m**3 - 22*m**2 + 4. Let i be g(22). What is the remainder when 58 + (-2 + i - (-14 + 16)) is divided by 49?
9
Suppose -80 - 816 = -4*b. Suppose 3*g + b = -5*g. Let o = -2 - g. What is the remainder when 73 is divided by o?
21
Suppose 2*n = 5*o + 144 + 48, -5*o = -4*n + 184. Let d = 72 + o. Suppose 80 = 3*c + c. What is the remainder when d is divided by c?
12
Suppose -j + 12 = -4*w, -3*w + 24 = 4*j + 14. Suppose 120 = 4*p + 4*u, 0 = -4*u + j - 0. Calculate the remainder when 53 is divided by p.
24
Suppose 2189 = 3*n - 361. Calculate the remainder when n is divided by 2/4*(1 + (23 - 0)).
10
Let f(j) = j**2 - 11*j + 3. Let k be f(11). Suppose 0 = z - k*i - 15, -2*z + 2*i - 74 = -6*z. What is the remainder when (667/46)/(2/12) is divided by z?
15
Suppose -5*y + 40 = -3*o, 2*o - 3*y = -3*o - 72. Let z = -21 - -34. Calculate the remainder when z is divided by (6/o)/(9/10 - 1).
1
Suppose 2*g + 181*q = 177*q + 4, 3*q - 18 = -3*g. Calculate the remainder when 14346 is divided by g.
6
Suppose -1938 = -36*q + 4854 - 1428. Calculate the remainder when q is divided by 51.
47
Let r(a) = -a**3 - 3*a**2 + 1. Suppose 0 = -2*s + h + 164 - 32, -s = -h - 65. Suppose -q - s = -2*q. What is the remainder when q is divided by r(-4)?
16
Let n = -126 + 132. What is the remainder when 18 is divided by 106/n - (-5)/15?
0
Let z(w) = 2*w**3 - 3*w**2 + 2*w - 1. Let h(l) = -21*l - 531. What is the remainder when h(-28) is divided by z(3)?
25
Let z be -2 + ((-28)/(-6) - 3/(-9)). Suppose -z*w + 2*i = -38, -w - i = -6 - 10. Calculate the remainder when 166 is divided by w.
12
Suppose 3*p = p + 106. Suppose 40 + p = f. Let a = f + -66. What is the remainder when a is divided by 10?
7
Suppose 2*q + 2 = -q + 2*t, q - 2*t + 6 = 0. Calculate the remainder when 114 is divided by ((-26)/(-12))/(q/12).
10
Let b(j) = 22*j - 27. Let k be b(-6). Let n = k + 223. Suppose -4*s - 4*v + n + 112 = 0, -45 = -s - 2*v. Calculate the remainder when s is divided by 15.
13
Let v(i) = i**2 + 5*i - 14. What is the remainder when (32/96)/(((-57)/3230)/(18/(-5))) is divided by v(-10)?
32
Calculate the remainder when 1409 is divided by (4/6*-1)/((208/(-5688))/13).
224
Let l = 29603 - 27848. Calculate the remainder when l is divided by 88.
83
Let m = 8860 + -8835. Calculate the remainder when 167 is divided by m.
17
Let h be ((-11)/2)/((-2)/(-4)). Let b(i) = i**3 + 7*i**2 - 11*i - 53. Let j be b(-7). Let t = j + h. Calculate the remainder when 49 is divided by t.
10
Let q(b) be the third derivative of b**4/8 + 49*b**3/3 - 8*b**2 - 17. Let w = -2 - -21. What is the remainder when q(-21) is divided by w?
16
Let n(y) = y**3 - 18*y**2 - 20*y + 3. Let q be n(19). Let k(m) = -2*m + 5. What is the remainder when (-2 + 6)*(-124)/q is divided by k(-6)?
14
Suppose 5889*i - 5855*i - 1700 = 0. Suppose 3*g + 5*q = 590, -2*g - 2*g + 785 = 5*q. What is the remainder when g is divided by i?
45
Let d(k) be the third derivative of -k**5/60 - 7*k**4/24 + 13*k**3/6 - 2*k**2 - 3*k. Let z = -16 + 10. Calculate the remainder when 72 is divided by d(z).
15
Let x = 16395 - 16197. What is the remainder when 1198 is divided by x?
10
Let w(x) = 3*x + 6. Let u be w(-2). Let y be 1/2*u/4. Suppose 17*k - 20*k + 90 = y. What is the remainder when 86 is divided by k?
26
Calculate the remainder when (1 + -2394)/(10 - 11) is divided by 21.
20
Calculate the remainder when (-15)/21 - (-1250964)/756 is divided by 92.
90
Suppose 0 = 3*n + b - 73, -b + 10 + 13 = n. Calculate the remainder when 101 is divided by n.
1
Let v(c) = c**2 - 3*c - 13. Let z be v(6). Suppose 0 = -h + z*i - 0*i + 77, -5*h + 269 = 4*i. What is the remainder when h is divided by 10?
7
Suppose -57 = -2*r - 52*x + 55*x, 3*x + 99 = 4*r. What is the remainder when 246 is divided by r?
15
Suppose -9652 = -4*v - 16*r + 21*r, 0 = -v - 2*r + 2400. Calculate the remainder when v is divided by 23.
16
Calculate the remainder when 274 is divided by (4 - (-52)/(-8))/(10/(-220)).
54
Suppose 0 = -5*n + 4*r + 73, -12*r = -8*r - 12. Suppose 5*v + 1416 = n*v. Calculate the remainder when v is divided by 31.
25
Suppose 5*p - 631 = -126. Let t = 6955 - 6901. What is the remainder when p is divided by t?
47
Suppose 3*c - 129 = 6*q - 3*q, 0 = -3*q + 2*c - 131. What is the remainder when 10*(-4 + q/(-6) + 2) is divided by 2?
1
Let j be -1*(6/2 + -2). Let u(w) = -33*w + 1. Let s(n) = -142*n - 2. Let z(p) = -s(p) + 5*u(p). What is the remainder when 119 is divided by z(j)?
29
Suppose 54 = 5*r - 3*k, 2*r - 4*k + 7*k - 9 = 0. Let n be (-3)/r - (-1390)/(-15). Let w = -58 - n. Calculate the remainder when w is divided by 12.
11
Let q(m) = -m**3 + 13*m**2 - 7*m - 93. Let u be q(11). Suppose 3*o - 4*c - u = 0, c = -5*o - 2 + 99. Calculate the remainder when 117 is divided by o.
17
Let c be (198/(-15))/(63/(-420)). Suppose -m - c = -176. Calculate the remainder when m is divided by 10.
8
Let r(b) = b**2 + 4*b - 7. Let t = 28 - 28. Suppose v - 5*i + i + 1 = 0, 4*v - 4*i - 44 = t. Calculate the remainder when v is divided by r(-6).
0
Suppose -k - k - 34 = 0. Let c = -8 - k. Let j = -2108 - -2125. What is the remainder when j is divided by c?
8
Let v(n) = -n**3 - 6*n**2 + n + 16. Let g be 1/((6/(-21))/2). What is the remainder when v(g) is divided by 30?
28
Suppose 17*c - 15*c = 4*b + 94, 3*c + 3*b - 186 = 0. Calculate the remainder when 2240 is divided by c.
17
Let u be (2 + -1)/((-7)/189*3). Calculate the remainder when 31/(8/12*u/(-12)) is divided by 11.
7
Let s(q) = -7*q - 45. Let g = -16 + 9. Let x be s(g). Calculate the remainder when ((-14)/(-21))/(x/318) is divided by 18.
17
Let b = -14920 + 15098. What is the remainder when 441 is divided by b?
85
Suppose -13 + 19 = 3*n. Suppose -j - 6 = -n*w - 150, 3*w - 5*j + 202 = 0. What is the remainder when (3 + -9 + 2)*w/8 is divided by 8?
5
Let v = -17568 + 18421. What is the remainder when 868 is divided by v?
15
Let m = 1590 + -1528. What is the remainder when 15249 is divided by m?
59
Let g = -3932 + 7179. Calculate the remainder when g is divided by 56.
55
Let i(n) = -10*n + 123. Let f be i(12). Suppose 0 = -4*l - 2*k + 70, 0*l - 4*l + f*k + 75 = 0. What is the remainder when 231 is divided by l?
15
Let l = 4085 + -4072. What is the remainder when 958 is divided by l?
9
Suppose 0 = -19*m + 25*m + 2352. Let y = 413 + m. Calculate the remainder when 59 is divided by y.
17
Suppose -216 - 216 = -8*s. What is the remainder when 646 is divided by s?
52
Let h(w) be the first derivative of w**3/3 + 9*w**2/2 - 7*w + 55. Calculate the remainder when 207 is divided by h(-11).
12
Let c(j) = j**3 + 4*j**2 + j - 7. Let w(a) = -3*a**2 - 11*a + 6. Let v be w(-4).