i). Let b = 134 - u. What is the remainder when b is divided by 19?
17
Calculate the remainder when (-1 - (-6)/(-48)*-74)/((-15)/(-1880)) is divided by 27.
8
Let q(h) = -h**2 + 10*h + 3. Let b be q(18). Let l = -142 - b. Calculate the remainder when (2140/(-30))/(l - (-3)/9) is divided by 12.
11
Suppose 247*b - 252*b + 580 = 0. Suppose -342 = -5*s + 483. Suppose -s = -5*n + 3*u, -n + 0*u - u + 25 = 0. What is the remainder when b is divided by n?
26
Let d(g) be the third derivative of g**4/24 - g**3/3 - 3*g**2. Let k be d(5). What is the remainder when 91 is divided by 3/(-9)*k + 20?
15
What is the remainder when 234 - (-9 + 165/18)/(2/60) is divided by 140?
89
Let x(d) = -7*d + 9. Let k = -239 + 88. Let p = k - -147. Calculate the remainder when 219 is divided by x(p).
34
Suppose -3*b = 9, 0 = -2*f + 5*b - 2*b + 41. Let x(w) = -w**3 - 1. Let l be x(-1). Suppose l = -q + 7 - 4. What is the remainder when f is divided by q?
1
Suppose -5*h + 1020 = 5*d, 5*h - 5*d - 281 = 769. Suppose 387 + h = 22*x. What is the remainder when x is divided by 11?
5
Let v = 15 + -11. Let h = 123 + -72. Suppose -3*s - h = -4*x - 18, -2*x - s = -29. Calculate the remainder when x is divided by v.
0
Let l be 13/(-13) + 0 - (554 + 1). Let f = -523 - l. What is the remainder when 359 is divided by f?
29
Suppose 19*a - 22*a - 6 = -72. Calculate the remainder when 5147 is divided by a.
21
Suppose -6*h + 1205 = 5*f - 5*h, 3*h = -4*f + 953. Suppose 2*n = 250 - f. What is the remainder when 20 is divided by n?
0
Suppose 20*g - 442 - 1072 = -294. Suppose -5*o = -10*o, 5*a - 35 = -5*o. What is the remainder when g is divided by a?
5
Let u be (18 + 1)/(1/1). Let g = u + -12. Calculate the remainder when (15/(-12))/((-2)/64) is divided by g.
5
Suppose 0 = 2*q + 4*u - 3336, -155*q - 4*u + 6660 = -151*q. Calculate the remainder when q is divided by 38.
28
Let s(w) = -2*w**2 - 134*w + 9469. Let v = -101 + 172. What is the remainder when v is divided by s(-110)?
8
Let w(n) = 302 + 293 + 2*n**3 + 4*n + 0*n**3 + 293 - 4*n**2 - 891. What is the remainder when 104 is divided by w(3)?
23
Suppose -5 = -3*v + 4*f, 2 = 3*v + 4*f - 35. Suppose -3*n - 12 = -v*n. Suppose 42 = n*y - 4*h, -y = -h - 8 - 6. Calculate the remainder when 54 is divided by y.
12
Suppose -3*h = 2*h - 45. Let w(m) = -8*m + 19. Let u be w(2). Suppose -3*s = 3*z - 24, 2*s + 26 = z - u*s. What is the remainder when z is divided by h?
2
Let h = 35 + 70. Suppose -325 = -4*n - h. Calculate the remainder when n is divided by 14.
13
Let g be (-2)/3*51/1. Suppose -5*x - 25 = -f, -4*x + 156 = 4*f - 64. Let q = g + f. What is the remainder when 58 is divided by q?
10
Suppose 29*b - 31*b = 2*c - 1722, c = 5. Calculate the remainder when b is divided by 43.
39
Let f = 4593 + -4236. What is the remainder when 364 is divided by f?
7
Suppose 247*q - 226*q = 546. Calculate the remainder when 4185 is divided by q.
25
Calculate the remainder when (-1 + 8)/(-1) + 247 + 57 + -62 is divided by 4.
3
What is the remainder when (2 + 7/(-2))/(6*27/(-66636)) is divided by 6?
5
Let n(p) = 2*p**3 - 127*p**2 + 303*p + 135. What is the remainder when 8540 is divided by n(61)?
12
Let a = -17692 - -17966. What is the remainder when 275 is divided by a?
1
Let g = 48 - 216. Calculate the remainder when 162 is divided by ((-44)/6)/(g/(-18) - 10).
8
Let w(h) = 1008*h + 9092. What is the remainder when 352 is divided by w(-9)?
12
Calculate the remainder when (-4)/(-336)*-7 + -1318*22/(-48) is divided by 16.
12
Let j = 12248 + -11197. What is the remainder when j is divided by 182?
141
Let j = -82 + 119. What is the remainder when j is divided by -15 + (12 - 161/14)*70?
17
Let j = 107 + -99. Suppose 0 = -5*r + 20, j*r - 160 = -v + 4*r. Calculate the remainder when v is divided by 21.
18
Suppose -t = -3*m - 15, -45 = -3*t - 4*m - m. Suppose 0 = b + 4*b - 260. What is the remainder when b is divided by (-2)/(-6) - ((-445)/t - -3)?
25
Let k(t) = 10650*t + 504. What is the remainder when k(1) is divided by 14?
10
Let x(m) = 6*m - 20. Let a be x(9). Let q = -31 + a. Suppose -2*t = h - q*h + 28, 3*h + 4*t = 7. Calculate the remainder when 25 is divided by h.
7
Let y = -161 - -227. Let h(f) = -2*f**3 - 9*f**2 - 24*f + 9. What is the remainder when h(-6) is divided by y?
63
Suppose -4*d - 5*n + 155 = 0, 2*d + 2*n = 39 + 39. Suppose -2*h - h + 27 = 0. Calculate the remainder when d is divided by h.
4
Suppose 0 = -0*d - 10*d + 200. Suppose -9*v - 363 = -d*v. Calculate the remainder when v is divided by 9.
6
Let c = 10 - 6. Suppose -c*o + 37 = 9. Suppose -2978 = -137*s + 721. What is the remainder when s is divided by o?
6
Suppose -5*z + 3*s = 8*s, -z + s = 0. Suppose -5*v + 41 - 31 = z. What is the remainder when 23 is divided by v?
1
Let i(m) be the second derivative of -m**5/20 - 5*m**4/6 + 23*m**3/6 - m**2/2 + 20*m. Calculate the remainder when 20 is divided by i(-12).
9
Let a = 32 - -9. Calculate the remainder when (38225/(-110))/((-20)/8) is divided by a.
16
Let t(v) = v**3 - 32*v**2 - 519*v + 73. Calculate the remainder when t(44) is divided by 110.
29
Let m be 4/((-8)/10) + 7. Suppose 5*v - 124 = -0*v + 4*f, -3*f + 45 = 2*v. What is the remainder when 3*(-69)/(m - 5) is divided by v?
21
Let d(b) = -175*b + 3. Let k = -10 + 11. Calculate the remainder when d(-1) is divided by (-36)/(2/(-1) + k).
34
Let w(z) = 7*z + 156. Let p be w(-22). Suppose -p*q + 263 = -3*c, -36*q + 571 = -32*q + 3*c. Calculate the remainder when q is divided by 3.
1
Let p = 331 - 139. Let i = p - 272. Calculate the remainder when (-14 + -1)*64/i is divided by 5.
2
Let r be 36/(-63) + 479/(-7). Let v = r + 82. Calculate the remainder when 48 is divided by v.
9
Let z = 416 + -764. Let a = -211 - z. Calculate the remainder when a is divided by 28.
25
Let q = -243 - -246. Let t(w) = -w**3 + w + 5*w - 16*w + 8*w + 6*w**2 - 1. What is the remainder when t(q) is divided by 6?
2
Suppose 3*s + 146 = -4*t - 149, 237 = -3*t + 3*s. Let m = t - -91. Suppose -m*d = -19*d + 16. Calculate the remainder when d is divided by 3.
1
Let b = 1678 + -1538. Calculate the remainder when 509 is divided by b.
89
Calculate the remainder when 549 is divided by (-13 - 113)*20/(-24).
24
Let c(p) = p**2 - 20*p + 42. Let t(u) = -u + 3. Let l(q) = c(q) + 6*t(q). Suppose 0 = h - 22 - 35. Calculate the remainder when h is divided by l(24).
9
Suppose -9 + 12 = -3*s. Let t be (-10)/25*5 + s*2. What is the remainder when 97 is divided by (-74)/t - 4/(-24)*9?
17
Let u(n) = -11385*n + 11385*n + 2 + 14 + 10*n**2. Calculate the remainder when u(-3) is divided by 9.
7
Suppose -34*b + 132 + 790 + 5368 = 0. Calculate the remainder when 29414 is divided by b.
184
Suppose -31*s + 32*s + 21941 = 38*s. What is the remainder when s is divided by 149?
146
Calculate the remainder when 782 is divided by (6/(12/(-518)))/(-10 + 9).
5
Let z(q) = -36*q - 121. Suppose 12*x - 801 - 555 = 0. What is the remainder when x is divided by z(-5)?
54
Let v(u) = 71 + 26 + 6*u + 22 + 112. Calculate the remainder when v(-32) is divided by 6.
3
Let n = -7870 - -7940. Calculate the remainder when 77 is divided by n.
7
Suppose -2*k + 4 = 3*n + 2, 0 = -n - 3*k - 11. Let d be (-2*1)/(11 - 245/21). What is the remainder when ((-99)/(-2))/d + 48/96 is divided by n?
1
Suppose -j - 1 = 2. Let n = -4 - j. What is the remainder when (-480)/20*(-2 - n) is divided by 5?
4
Let d(c) = c**2 - 2*c + 2. Let y = -2623 - -2634. Calculate the remainder when d(-3) is divided by y.
6
Suppose 3*q = 2*q - 4. Let c be -25 - -3*q/(-1 - 3). Let m = c - -37. What is the remainder when 43 is divided by m?
13
Let t = 439 - 421. What is the remainder when (9/t)/((-1)/(-82)) is divided by 12?
5
Suppose -2*n = -7*t + 2*t + 113, -t - 215 = 5*n. Let h = n + 42. Let o(j) = -6*j**3 + 3*j + 3. Calculate the remainder when 89 is divided by o(h).
44
Let x(f) be the third derivative of 15*f**4/4 + 2*f**2. Calculate the remainder when x(3) is divided by 164606/10227 + -1*2/21.
14
Let u = 221 - 220. Let o(m) = m**2 + 15*m + 19. Let t be o(-12). Let j = t + 18. What is the remainder when j is divided by u?
0
What is the remainder when (-3 - -1 - -1)*1*11935/(-11) is divided by 18?
5
Suppose 0 = -21*b + 2145 + 1278. Calculate the remainder when b is divided by 83.
80
What is the remainder when 1278