when k(-36) is divided by 33.
30
Let a(k) = -k**3 - 73*k**2 + 140*k + 88. Calculate the remainder when a(-75) is divided by 215.
193
Let o(i) = -9*i + 1. Suppose 162 = 5*n + 57. Let h(k) = 4*k**2 - 71*k + 21. What is the remainder when h(n) is divided by o(-4)?
35
Suppose 54*g = 227 + 43. Suppose -1 = 5*h - 16. Suppose 20 - g = h*p. What is the remainder when 7 is divided by p?
2
Let i(n) = -45*n - 82. Let u be (-27)/((-1080)/(-224)) + (-6)/(-10). Calculate the remainder when i(u) is divided by (3/4)/(2/48).
17
Let f = -658 - -660. Let g(i) = 19*i**2 - 3*i + 9. What is the remainder when g(f) is divided by 28?
23
Let i = 344 + -283. Suppose i = 2*f + g, 5*f + 2*g - 122 = 31. What is the remainder when 56 is divided by f?
25
Suppose 3 = -4*r - 4*f + 95, -r + 5*f = -23. Let m(j) = -j**2 - 98*j - 16. Calculate the remainder when m(-11) is divided by r.
21
Let n be (-17 - -14)*((-12)/(-9) - 2). Calculate the remainder when 5 - 2/n - (-9 + -11) is divided by -3 + 3 - 14*-1.
10
Suppose 0 = -5*m - 5, -5*m + 563 = 4*q - 512. Suppose 0 = -5*z + 2*p - 7*p + q, 258 = 5*z + p. What is the remainder when z is divided by 4?
3
Let n = 1649 + -1630. Calculate the remainder when 1157 is divided by n.
17
Let l(f) = 7*f - 314. Let w be l(46). Suppose -4*p + 2*i = -12 - w, 2*p + 5*i = 10. What is the remainder when p is divided by 3?
2
Let c(q) = -6*q**2 - 2*q + 2. Let p be c(-2). Let z(j) = -47*j + 146. Calculate the remainder when (49/14)/((-1)/p) is divided by z(3).
3
Let g(w) = 55 - 13 - 30 - 19 - 39*w - 22. Calculate the remainder when g(-5) is divided by 12.
10
Calculate the remainder when 95 is divided by 2520/80*(5 + -3).
32
Let k(y) = -44*y - 19. Let s be k(18). Let p = -482 - s. Let h = p - 78. Calculate the remainder when h is divided by 42.
41
Let m(g) = -g**2 + 3*g + 2. Let y be m(3). Let f(o) be the second derivative of 19*o**3/6 - 2*o**2 + 559*o. What is the remainder when f(y) is divided by 12?
10
What is the remainder when 320 - 940/282*(-18)/(-5) is divided by 27?
11
Suppose 47*v + 3*v = -135*v + 438265. What is the remainder when v is divided by 787?
8
Let l(u) = u**2 - 7*u - 31. Let j be l(13). Let y = j + 201. What is the remainder when y is divided by 21?
17
Suppose 789 = 3*l - 0*l. Suppose -4*t + 534 = 5*b - 327, -5*b + t + 866 = 0. What is the remainder when b is divided by l/6 - (8 + 294/(-36))?
41
Let c(a) = 4*a**2 + 2*a - 2. Let v(b) = 4*b - 18. Let i be v(5). Calculate the remainder when ((-2)/12*i)/(7/(-357)) is divided by c(-2).
7
Let x(z) = z**2 - 75*z - 1204. Calculate the remainder when 411 is divided by x(89).
33
Suppose 7*x + 376 = 9077. Suppose 192*k - 181*k = x. Calculate the remainder when k is divided by 17.
11
Suppose -72 = r + 137. Let h = r - -235. Calculate the remainder when 49 is divided by h.
23
Calculate the remainder when 308 is divided by (-9888)/(-64) + (-3)/((-18)/(-21)).
6
Let q(y) = 22*y**2 + 38*y - 188. What is the remainder when q(6) is divided by 60?
52
Let v(z) = z**3 - 3*z**2 - 15*z - 10. Let b be v(6). Suppose -4*s = -0*s - p - 57, -s = p - b. Calculate the remainder when 17 is divided by s.
4
Let a(u) = 5*u**2 - 155*u + 366. Suppose 5*h - 58 + 8 = 0. What is the remainder when a(29) is divided by h?
6
Calculate the remainder when 1722 is divided by (-20)/((-400)/30)*12.
12
Let l = 18529 - 18156. Calculate the remainder when 1120 is divided by l.
1
Let z = -4 - -6. Let l(q) = 33*q**2 + 340*q - 1077. What is the remainder when l(-13) is divided by z?
0
Calculate the remainder when 574 is divided by 318/16 - 3/28*406/(-348).
14
Suppose -3*r - 5*l + 2956 = 0, -r + 11*l + 982 = 12*l. What is the remainder when r is divided by 38?
27
Suppose 3*y - 2*y - 17 = 0. Suppose 3606 - 39 + 1988 + 3166 = 153*n. Calculate the remainder when n is divided by y.
6
Suppose -12*y + 1737 = 1665. Calculate the remainder when 1948 is divided by y.
4
Let i = 759 - 598. What is the remainder when 1634 is divided by i/(-28)*-10*2 - 6?
108
Suppose -2*g + 0*g = -3*z - 369, -g = 4*z - 223. Calculate the remainder when 795 is divided by g.
15
Let m(o) = -11*o - 8. Let d be m(-3). Suppose 3*b - 71 = 5*f, -2*f = -4*b - 0*f + 76. Calculate the remainder when b is divided by 3/((d/(-5))/(-15)).
8
Suppose 3*r + 6038 = 6059. What is the remainder when 977 is divided by r?
4
Suppose 35 - 293 = -c + 3*z, -276 = -c - 3*z. Calculate the remainder when c is divided by 12.
3
Let v(g) = 15*g**2 - 143*g + 1117. Calculate the remainder when v(7) is divided by 107.
102
Suppose 0 = 2*k + 6*r - 98, -12*k - 3*r = -14*k + 125. What is the remainder when 330 is divided by k?
40
Suppose 0 = -2*v - 6*y + 5*y + 380, v = y + 187. What is the remainder when v is divided by ((-4131)/(-204))/(-81) - (1 - (-197)/(-4))?
45
Let l = -204 + 208. Let x(b) = -5*b**2 + 15*b. Let a(o) = 3*o**2 - 8*o. Let u(k) = 7*a(k) + 4*x(k). What is the remainder when u(3) is divided by l?
1
Let v(j) = 43*j + 164. Let s be v(-4). Let q(h) = -16*h + 11 + 6*h + 22. Calculate the remainder when q(s) is divided by 29.
26
Let q be (4 + 4 - 21)*(9 + 2). Let k = 96 - q. What is the remainder when k is divided by 10?
9
Let a = 10 - 11. Let i(c) = -75*c**3 + c**2 + 2*c + 1. Calculate the remainder when i(a) is divided by (-218)/(-8) - ((-25)/4)/(-5).
23
Suppose 3*v = 96632 - 96212. What is the remainder when 199 is divided by v?
59
Let c(i) = -i**3 - 26*i**2 - 44*i - 19. Let h be c(-24). Calculate the remainder when h/2*18/(-15) is divided by 24.
21
Suppose -48 + 32 = -4*c. Let m be -14 + (4 - 4)/c. What is the remainder when 206 is divided by m/21 - (-118)/6?
16
Suppose 7*k - 3*q = -6*q + 19224, q = -4. Calculate the remainder when k is divided by 915.
3
Suppose 6 = 2*x + 4, x = -5*s + 216. What is the remainder when 1074 is divided by s?
42
Let h = 358 - 356. Suppose -40 = -k + 4*b, -h*k + b + 94 = -7. What is the remainder when 311 is divided by k?
51
Let p(m) = 2*m**2 + 4*m + 1. Let l be -2*1*(9 - 52/8). Calculate the remainder when p(-4) is divided by 15*l/150*-6.
2
Let x = -297 + 557. Suppose -2*j = -5*w - 125, 5*j - x = -21*w + 16*w. Calculate the remainder when 211 is divided by j.
46
Let x be (-2634)/54 - ((-21)/27 + 1). Let q = x + 94. Calculate the remainder when q is divided by 12.
9
Let k = -3790 + 4245. Calculate the remainder when k is divided by 25 - 10 - (-2)/1.
13
Let p = 6 + -5. Suppose -t - 2*t + 2*i = -31, -5*i = t - 16. Calculate the remainder when t is divided by p.
0
Suppose -m = 14*m + 750. Let a = m + -5. Let i = a - -72. Calculate the remainder when 63 is divided by i.
12
Let j(c) = -2*c**3 - 45*c**2 + 68*c + 237. Calculate the remainder when j(-25) is divided by 154.
122
Suppose -335 = -3*j - 2*j. Let o = 105 - j. Suppose -28 + 20 = 8*s - 88. Calculate the remainder when o is divided by s.
8
Suppose -q = -9 - 1. Suppose -q = -2*j + 5*d + 301, -3*j = -5*d - 479. What is the remainder when j is divided by 86?
82
Suppose 4*d = 5*d - k - 38, 0 = 2*d + 3*k - 86. Calculate the remainder when ((-1)/3)/(3 + (-5368)/1788) is divided by ((-45)/12)/((-5)/d).
29
Let x(g) = -g**3 - 33*g**2 + g + 57. Let z be x(-33). Suppose 2*r + z*c - 62 = 26*c, 5*c + 87 = 3*r. Calculate the remainder when 132 is divided by r.
30
Let p(s) be the third derivative of -s**6/120 - 11*s**5/60 - 17*s**4/24 + 9*s**3/2 + 78*s**2 - 3. Calculate the remainder when p(-10) is divided by 27.
16
Suppose 0 = 2*m - 10, 3*r - 5*m - 4 = -4*m. Suppose 18*c + r*c - 6258 = 0. What is the remainder when c is divided by 43?
40
Let g(j) = j**3 + 27*j**2 - 194*j + 14. What is the remainder when 514 is divided by g(6)?
20
Let d(r) = 2*r**3 + 18*r**2 - 25*r - 281. What is the remainder when 87 is divided by d(-8)?
40
Suppose -208 = 1568*v - 1576*v. Suppose 0 = -4*q - 5 + 17. Suppose -292 = -4*u + 2*g, -3*u - q*g + 0*g = -237. What is the remainder when u is divided by v?
23
Let m(h) = -3*h**2 - 161*h + 439. What is the remainder when m(-53) is divided by 186?
173
Let h(n) be the first derivative of 32*n**3/3 + 8*n**2 + 6*n + 3. Calculate the remainder when h(-4) is divided by 13.
12
Let o(t) = -t**2 - 4*t + 7. Let b be o(-5). Suppose -4*j - q = -b*q - 314, -2*q = -4*j + 312. Calculate the remainder when j is divided by (246/(-18))/((-1)/3).
38
What is the remainder when ((-19)/9)/(22/(-8118)) is divided by 15?
14
Let