q**3 - q**2 + q + 12. What is the remainder when z(3) is divided by 43?
1
Suppose 0 = 4*m + 2*z - 1928, m - 199 = 4*z + 301. Suppose m = 53*f - 42*f. What is the remainder when f is divided by 7?
2
What is the remainder when 5/(-5)*6/(-12)*14*21 is divided by 31?
23
Suppose -10*g = 15*g - 250. What is the remainder when 304 + g/(-25)*5 is divided by 19?
17
Let d be 4/((-5)/1 - (-456)/72). Suppose -4*y - d*a = -1224, -5*a + 0*a - 1495 = -5*y. Calculate the remainder when y is divided by 17.
14
Let c(y) = 25*y + 2*y**2 - 15*y**3 + 18*y - 3 - 41*y. Let x be c(-2). Suppose 11*f = x + 77. Calculate the remainder when 51 is divided by f.
15
Suppose 3*f = -4*d + d + 15, -46 = -5*d + 2*f. Suppose -14*v = -d*v - 618. Let l(b) = 6*b - 3. What is the remainder when v is divided by l(4)?
19
Let h = 6244 + -4113. What is the remainder when h is divided by 313?
253
Let b = 15228 + -15207. What is the remainder when 1543 is divided by b?
10
Let c(q) = -2*q + 20 - 5 - 6 - 12. What is the remainder when 19 is divided by c(-5)?
5
Let k(g) be the second derivative of 23*g**3/6 + 245*g**2/2 + g + 107. Calculate the remainder when k(-6) is divided by 10.
7
Suppose -4*s - 12 = 2*g, 4*g + 51*s = 47*s - 4. Suppose -g*r + 1641 = 5*n - r, 5*r + 644 = 2*n. Calculate the remainder when n is divided by 81.
3
Suppose 2*k - 25 = k. Calculate the remainder when 28/((-60)/(-10680)*(1*8 + 0)) is divided by k.
23
Calculate the remainder when (-10)/(-45) - (3 - 4)*(-47840)/(-18) is divided by 4.
2
Let b(f) = -33*f**3 - 2*f**2 - 77*f - 149. Calculate the remainder when 8869 is divided by b(-2).
256
Suppose 0 = 5*h + 5*d - 2475 - 2980, h - 2*d - 1112 = 0. What is the remainder when h is divided by 22?
20
Let m(n) = 39*n + 2390. Suppose -2*q = -48 - 72. Calculate the remainder when q is divided by m(-61).
5
What is the remainder when (1488/14)/(-9*18/(-6237)) is divided by 89?
87
Let l be 42*(5 + 33/(-21)). Let r = -137 + l. Suppose r*p + 4*a - 770 = 2*p, -5*p + 3*a + 805 = 0. What is the remainder when p is divided by 32?
30
Let d(r) = 19*r**2 - 25*r + 8. Calculate the remainder when d(4) is divided by 45.
32
Let c(b) = -b**3 - 24*b**2 - 20*b + 43. Let l be c(-23). Let v = l - -28. Calculate the remainder when 55 is divided by v.
1
Suppose 19*v - 4*u = 17*v - 14, 12 = -2*v + 3*u. What is the remainder when (6 + v - 8) + 352 is divided by 16?
11
Suppose 2*h + 0*u = -3*u + 59, 4*h + 4*u - 128 = 0. Suppose 33*d - 938 = 349. Suppose h*v = d*v - 140. What is the remainder when v is divided by 19?
13
Suppose -3*u + 334 = -2*p, -4*u - 2*p + 0*p = -450. Suppose s = 5*s - u. What is the remainder when 333 is divided by s?
25
Suppose 285 - 162 = 3*j - 4*d, 0 = j - 70*d - 1071. Suppose -150 + 27 = -b. What is the remainder when b is divided by j?
18
Let k(m) = 78*m + 81. Let p be k(-7). Let n = 470 + p. What is the remainder when n is divided by 2?
1
Let x = -13086 + 13099. Calculate the remainder when (61*(-1 - -2))/1 is divided by x.
9
Let c(p) = p**2 + 13*p + 21. Let b be c(-10). Let t(v) = -13*v - 72. What is the remainder when 78 is divided by t(b)?
33
Let b(t) = t**2 - 38*t + 654. Calculate the remainder when b(69) is divided by 20.
13
Suppose 3*a = v - 47 + 24, -3*v - 5*a + 13 = 0. Let z(f) = f**3 - 6*f**2 - 54*f + 22. What is the remainder when z(v) is divided by 21?
12
Suppose 0 = w - 143 + 1. Let d = w - 54. Suppose d = 5*z - 7*c + 4*c, -2*c - 36 = -2*z. What is the remainder when z is divided by 8?
1
Calculate the remainder when 462/5 - ((-288)/80 + 3) is divided by 6.
3
Suppose 0 = -w + 14 - 15. What is the remainder when (-12)/4*14/(-1) is divided by 10/(-40)*11*w*4?
9
Let y be 165/(-10)*1422/27. Let x = 46 - y. Calculate the remainder when x is divided by 17.
14
Suppose 4*r - 420 = 4*j, -9229*r - 5*j = -9228*r - 111. Calculate the remainder when r is divided by 0 + 6*(-2 + 5).
16
Suppose 4*c - 31 = 17. What is the remainder when 3172/39 - c/9 is divided by 18?
8
Let q = 6306 - 6291. Calculate the remainder when 1600 is divided by q.
10
Suppose -66 = -380*j + 369*j. Suppose 4*f = j*u - 790, f - 410 = 22*u - 25*u. Calculate the remainder when u is divided by 0 - -1 - (2 + -35).
33
Suppose 8*s - 10*s = 0. Let f(o) = 0 + 24 + o**3 + 151*o - o**2 - 153*o. Calculate the remainder when 116 is divided by f(s).
20
Suppose 922*r = 923*r - 5*v - 44444, -r + 4*v = -44446. Calculate the remainder when r is divided by 21.
18
Let y(i) = i**2 - 11*i + 22. Let v(u) = -u**3 + 15*u**2 + 12*u - 27. Let m be v(15). Let c = m + -143. What is the remainder when 191 is divided by y(c)?
11
Suppose 0 = 2*u + n - 115, -4*n = u - 0*n - 40. Let s = u - -192. Suppose 0 = -l - 5*l + s. Calculate the remainder when l is divided by 9.
6
What is the remainder when 381 is divided by ((-14)/(-6))/(5*2142/(-1350) + 8)?
31
Suppose 30*y - 509 - 121 = 0. Calculate the remainder when 6906 is divided by y.
18
Let m = 8810 - 8795. What is the remainder when 461 is divided by m?
11
Let s = 127 + -90. Suppose 2 = 3*f - s. What is the remainder when ((-2)/14)/(129/(-53277)) is divided by f?
7
Let t(u) = u**2 + 3*u - 43. Let c = -217 + 207. Calculate the remainder when 295 is divided by t(c).
25
Let l(m) = -m**2 + 37*m - 224. Let g be l(29). Suppose -g*k + 29*k - 252 = 0. Let p(u) = 4*u**3 - 2*u**2 - 3*u. What is the remainder when p(3) is divided by k?
9
Suppose 3*b + 14*t = 16*t + 599, 2*b - 4*t - 410 = 0. What is the remainder when 305 is divided by b?
108
Let m = 300 + -251. Suppose 9*k - m = 68. Calculate the remainder when 206 is divided by k.
11
Let j = 163 - 161. What is the remainder when 38 is divided by 10 + -2*(7 - 4 - j)?
6
Let t = 544 - 491. Suppose -50*g - 147 = -t*g. What is the remainder when g is divided by 10?
9
Let z be 34/((-9)/60*(-2)/9). Suppose 8*q - z = -7*q. Let f = -39 + q. Calculate the remainder when 80 is divided by f.
22
Let l be (222/9)/(2/12). Suppose l = 4*x + 4*u, 95 = 2*x - 0*x - 5*u. Let d = -233 + 244. What is the remainder when x is divided by d?
7
Let u(p) = 2*p + 6. Let d = 106 + -104. What is the remainder when 98 is divided by u(d)?
8
Let f(u) = -7*u - 9. Let b be 93/5 - 28/(-70). Let a = 14 - b. What is the remainder when f(a) is divided by 14?
12
Let b = -3 + 9. Let y = -232 - -235. Suppose 5*a - r + b*r = -15, -y*r = -3*a + 15. What is the remainder when a is divided by 1?
0
Suppose -l + 104 = 4*d - 3*l, 132 = 5*d - 2*l. Suppose -5*c = -d - 7. Suppose c*h - 472 = -87. Calculate the remainder when h is divided by 7.
6
Let x(h) = 16*h**2 + 5*h + 15. Let b be x(-4). Let r = b + -112. Suppose -5*y = 6*j - 2*j - 168, -5*y = 20. What is the remainder when r is divided by j?
45
Let t(i) = 2*i**3 - 4*i**2 + 3*i - 3. Suppose -49*m + 88635 = 206*m + 56*m. What is the remainder when m is divided by t(3)?
21
Let j = -15379 + 15536. Calculate the remainder when 488 is divided by j.
17
Suppose 4*r + 72 = 4*z, -5*r + 9 = -4*z + 78. Suppose -3*c + 2*c + z = 0. What is the remainder when 144 is divided by c?
18
Let q(p) = -2*p - 3. Let v(d) = 1. Let b(h) = h**2 - 12*h + 41. Let k(t) = b(t) - 4*v(t). What is the remainder when k(12) is divided by q(-8)?
11
Let a = -11170 - -11206. What is the remainder when 454 is divided by a?
22
Suppose 0 = -s + 3*q + 10, 0 = 5*s + 3*q + 6 - 2. Suppose 4*m - 46 = 5*n, -2*m = 4*n + s - 37. Let k = 87 + -33. What is the remainder when k is divided by m?
12
Let d = 969 + -1595. Let p = d - -663. Calculate the remainder when 88 is divided by p.
14
Let g(c) = 8*c - 323. Let h be g(41). Suppose -14*d + h*i = -19*d + 2515, 0 = 3*d - 5*i - 1509. What is the remainder when d is divided by 22?
19
Suppose -7*g + 17*g + 60 = 860. What is the remainder when 1995 is divided by g?
75
Suppose -11*l - 804 = -7*l - a, 2*a + 804 = -4*l. Let z = l + 236. Calculate the remainder when 42 is divided by z.
7
Let u(b) = 1926*b - 30772. Let s(t) = t**3 - t**2 + t + 438. Calculate the remainder when s(0) is divided by u(16).
42
Let z(f) = f**3 + 17*f**2 + 27*f + 8. Let m be z(-15). Let l = 169 + m. What is the remainder when l is divided by 15?
12
Calculate the remainder when (15/(-9))/((-8)/60 + (-87)/(-765)) is divided by 49.
36
Let g(w) = w**3 + 6*w**2 - 7*w - 4. Let x(r) = 2*r + 27. Let c be x(-17). Let m be g(c). Let q = m + 24. Calculate the remainder when q is divided by 8.
4