j) = 512*j - 1881. Calculate the remainder when p(19) is divided by 47.
45
Suppose 5*t = -2*b + 44, 2*b - b = -t + 10. Suppose 0 = 3*k - 26 + t. Let p(x) = 9*x - 11. Calculate the remainder when p(k) is divided by 12.
7
Suppose 5*x + 4*p = 122, -x - 2*x - 4*p = -78. Let i = 99 + 96. What is the remainder when i is divided by x?
19
Suppose 7*t - 3*o + 508 = 9*t, -t + 251 = 3*o. Calculate the remainder when 1552 is divided by t.
10
Let s be ((-2)/(-3))/(3/36 - 0). Let u be (-1 - 1 - 1) + s. Calculate the remainder when -1 - (-33 - (3/(-1) + u)) is divided by 12.
10
Suppose -3*d + 7*d - 5*m - 389 = 0, -413 = -4*d - 3*m. What is the remainder when 212 is divided by d?
10
Suppose -2*h + 18 = 0, 2*q + 3*h = 138 - 29. Calculate the remainder when 339 is divided by q.
11
Let h(n) = -n**3 - 4*n**2 - 5*n + 2. Suppose 4*p - p + 12 = 0. Suppose -1950 = -105*q + 75*q. Calculate the remainder when q is divided by h(p).
21
Let u be (-16)/(-40) - 2409/(-15). Let v = -131 + u. Suppose 206 + 89 = 5*o. What is the remainder when o is divided by v?
29
Suppose 15461*l - 15440*l - 231 = 0. Calculate the remainder when 3012 is divided by l.
9
Let a be ((-40)/15)/(-3*2/(-18)). Let c be (7 + a)*5*-1. Suppose m - 48 = 5*t, -107 - 25 = -4*m + c*t. Calculate the remainder when 55 is divided by m.
27
Suppose 45*j - 5001 = -771. Suppose 2*t - 144 = -2*t. What is the remainder when j is divided by t?
22
Let j(h) = -h**3 + 23*h**2 + 23*h + 32. Let o be j(24). Suppose -2*q = 3*k - 11, 4*q - k = o + 21. What is the remainder when 34 is divided by q?
6
Suppose -25719 = -22*y - 89*y + 17682. Calculate the remainder when y is divided by 59.
37
Suppose 4*m = h - 30, 0*m = 4*h + 5*m - 99. Let l(z) = z**3 - 28*z**2 + 53*z + 44. Calculate the remainder when l(h) is divided by 18.
16
Let m(f) = -4*f + 23. What is the remainder when 932 is divided by m(3)?
8
Let r = 13 - 11. Let y(t) = t + 1. Let g be y(3). Suppose -g*b = 5*u - 84, -r*u + u + 40 = -5*b. What is the remainder when 59 is divided by u?
19
Let d(a) = 2*a**2 - a - 7. Let x(l) = 2752*l + 38535. Calculate the remainder when d(5) is divided by x(-14).
3
Let f = -78 - -83. Suppose 0 = -5*u - f*y + 570, u - 115 = -0*u - 2*y. Suppose 0 = 2*t - u - 201. Calculate the remainder when t is divided by 32.
29
Let r = -112 - -114. Suppose 14 = -r*w - 4*c, 3*w + 5*c = 7*w - 11. Let i(m) = 25*m**2 + 2*m. What is the remainder when 43 is divided by i(w)?
20
Suppose 0 = b - 5*u - 454, b - 442 = -u - 0*u. Let y = -244 + b. Suppose -6*z + 638 = y. Calculate the remainder when z is divided by 15.
13
Let n(x) = 3*x + 61. Let h be n(-19). Suppose -y = 3*a - 106, -h*y + 4*a - 464 = -8*y. What is the remainder when y is divided by 46?
29
Let v = 115 + -109. Suppose -l + v = -0*d + 5*d, 3*l = 3. What is the remainder when d is divided by 1?
0
Let r(k) = -107*k - 1906. What is the remainder when 716 is divided by r(-20)?
14
Let i(g) = 2*g**2 - 10*g - 8. Let u = 4 - -2. Suppose 10 = u*c - 26. What is the remainder when 7 is divided by i(c)?
3
Suppose 53 = 9*k + 17. Suppose 0*q + 24 = -q - 5*d, 0 = -4*q - k*d - 16. Calculate the remainder when q*((-4 - -50) + (-3 - 0)) is divided by 23.
20
Suppose 4*c + 3*x - 191 = 0, 2*x + 0*x = -5*c + 244. Let f be 2/(115/220 - (-1)/(-2)). Suppose -f = -4*q - 16. What is the remainder when c is divided by q?
14
Let l(w) = -2*w**3 - 88*w**2 - 5*w - 216. Let q be (6/9 - -1)*3. Suppose 2*a + 4*r = 16, -q*r = -a - 4*r + 5. What is the remainder when a is divided by l(-44)?
2
Let v = 8 + -9. Let a(w) = -31*w + 228. Let t be a(8). What is the remainder when 155*(12/t - v) is divided by 32?
30
Let q(c) = 27*c - 960. Calculate the remainder when 396 is divided by q(38).
0
Suppose -57 + 397 = 5*q. Suppose -28 = -2*l + 24. Suppose 14*d - 12*d + 4*k = l, -5*k = -5*d + 110. What is the remainder when q is divided by d?
11
Suppose 12*j = 42 + 18. Suppose 2*y - 10 = 0, -2*t - j*y = t - 682. What is the remainder when t is divided by 44?
43
Suppose 4*a + t = -a + 284719, 3*t + 113874 = 2*a. Calculate the remainder when a/851 + (-4)/(-46) is divided by 10.
7
Let b = -2902 + 3080. Let t(l) = -l**3 - l**2 + 2*l - 4. Suppose -13 = 5*k + 7. What is the remainder when b is divided by t(k)?
34
Let c(m) = -882*m**3 + m**2 - 16*m - 16. Let l be c(-1). Suppose 0 = 5*j - l + 23. What is the remainder when j is divided by 35?
32
Suppose -g - 3*d - 15 = 10, g = -d - 19. Let l = -2 - g. Suppose n - 5*h = 21, n - 4 = 4*h + l. What is the remainder when 9 is divided by n?
3
Calculate the remainder when 112 is divided by 0 + -5 - (-66 + (-91)/(-7)).
16
Let x = 138 - 130. Suppose 15*q = x*q. Suppose -190 = -4*c - 0*c - y, 3*c - 5*y - 154 = q. What is the remainder when 92 is divided by c?
44
Let d(u) = 3*u**2 - 12*u - 12. Let s = 188 + -194. Calculate the remainder when d(s) is divided by 58.
52
Let f(x) be the second derivative of x**4/12 - 7*x**2 + 4*x - 272. Let u be (-2)/(-7) + (-99)/(-21). What is the remainder when 21 is divided by f(u)?
10
Suppose -4*l - 878 = -3*y, -4*y + 13*l + 1172 = 8*l. Let q = y - -213. What is the remainder when q is divided by 103?
99
Let c(y) = -23*y + 7. Suppose -54*j + 59*j - 173 = -4*h, -15*h + 44 = 4*j. What is the remainder when c(-5) is divided by j?
40
Let r(o) = -153*o - 2663. What is the remainder when r(-18) is divided by 23?
22
Suppose -275 = -2*b - 265. Suppose -b*q = 2*c - 74, 3*q + 5 = -1. What is the remainder when c is divided by 23?
19
Let w = -171600 - -171627. What is the remainder when w is divided by 10*(-2 + (-36)/(-10))?
11
Suppose 2*l + 4*t = 11 + 529, -3*l = -5*t - 821. Calculate the remainder when l is divided by (12/8 + -2)*-92.
42
Suppose -41 = -2*o + 325. Let x = 190 - o. What is the remainder when x is divided by 2?
1
Let k(f) = f**3 + 4*f**2 + f. Let m be k(-4). Let j(b) = b + 12. Suppose 16*i = 18*i - 24. Calculate the remainder when i is divided by j(m).
4
Let v = 2566 - 2547. Let l = -13 - -26. What is the remainder when v is divided by l?
6
Let k be (-4*(-1 - 0))/((-16)/64). Let f(u) = -u**2 - 14*u + 77. Calculate the remainder when f(k) is divided by 24.
21
Let r(w) = 2*w**3 + 6*w**2 - 12*w - 10. Let f(v) = 2*v**2 + 42*v + 171. Calculate the remainder when r(6) is divided by f(-18).
62
Let k(h) = -83*h + 1736. What is the remainder when k(-17) is divided by 126?
123
Calculate the remainder when 2429 is divided by 3 + 7 - -4*(-39)/(-12).
14
Let n = -188 + 190. Suppose -n*h - 8 = -72. Calculate the remainder when 58 is divided by h.
26
Let p = -5193 - -5646. What is the remainder when 911 is divided by p?
5
Calculate the remainder when (129 - 125)*2*1322/16 is divided by 51.
49
Let y = 242 + 124. Suppose 0 = -6*k + 54 + y. What is the remainder when k is divided by 21?
7
Suppose -2*q - 11926 = -8*h, -10*h + 14*h + 2*q - 5942 = 0. What is the remainder when h is divided by 48?
1
What is the remainder when 2215 is divided by (-6)/26 + 8836/1222?
3
Let d = -428 - -518. Calculate the remainder when d is divided by (3/(-36)*-6)/(1/34).
5
Let z be 4/(-4)*(-51)/3*-1. Calculate the remainder when 21 is divided by (-240)/(-28) - (3 - z/(-7)).
5
Let h(s) = s**3 - 9*s**2 + 19*s + 3. Suppose 12*q = 1054 + 530. What is the remainder when q is divided by h(7)?
18
Suppose 1 = -3*a + 5*i, -2*a - i + 12 = 2*i. Suppose 2*p - 13*o - 338 = -10*o, a*p - 507 = -4*o. What is the remainder when p is divided by 34?
33
Let x = 165 - 163. Suppose -27 = -3*z + 6*k - 4*k, 3*k + x = z. What is the remainder when -36*2/((-24)/21) is divided by z?
8
Let z(f) = f**3 + 3*f**2 + f + 1. Let r = 7 - 10. Let k be z(r). Calculate the remainder when ((-429)/6)/(1/k) is divided by 29.
27
Suppose x - p - 220 = 74, 5*x - 1465 = 4*p. What is the remainder when x is divided by 74?
67
Let m be 6/(-2) + 95 - 1. Suppose -m*u = -94*u + 78. What is the remainder when 127 is divided by u?
23
Suppose -92*z - 96*z + 11928 = -117*z. What is the remainder when 614 is divided by z?
110
Let f be (-7 - -6)/(1/20). Let p = 1 - f. Calculate the remainder when (2 - 1/((-2)/(-208)))/(-1) is divided by p.
18
Suppose -6892 = -25*h - 6592. Let k = 211 + -117. What is the remainder when k is divided by h?
10
Let f = -263 + 146. Let a be (12/9)/(240/f + 2). Let u = a + 74. What is the remainder when u is divided by 17?
14
Let g(o) = 3*o**2 - 6