 3*n + 3*b = -33. Suppose 1582 = 23*g - 5. Calculate the remainder when g is divided by n.
15
Let l(x) = x**3 + 5*x**2 - 5*x + 5. Let k be l(-6). Let q(i) = -46211 - 34*i**3 + 0*i**2 + 46212 - 2*i**2. What is the remainder when q(k) is divided by 7?
5
Let d(k) = -k**2 + 12*k + 16. Let g be d(14). Let o(h) = -1 + h**2 + 1 - 2*h**2 + 7 - 12*h. Calculate the remainder when 11 is divided by o(g).
4
What is the remainder when 127 is divided by (-277)/(-4) + (-1)/4?
58
Let v = 472 - 313. What is the remainder when v is divided by 19?
7
Suppose -4*z - z + 3*w = 51, w = -3*z - 25. Calculate the remainder when 6/z + 170/3 is divided by 30/20*58/3.
27
Suppose 3*l - 9 = -15*x + 18*x, -l + 4*x - 12 = 0. Calculate the remainder when 223 is divided by l.
7
Suppose 2*m - 15 = -5*j, -2 = -m + 3. Let f = j - -11. Suppose -d = -5*g + 107, -2*d + 46 = 4*g - 34. Calculate the remainder when g is divided by f.
9
Suppose 111 = -7*p + 384. What is the remainder when p is divided by 20?
19
Let c(g) = 3*g - 1. Let m(o) = o**2 + 6*o - 8. Let h be m(-10). What is the remainder when (-1)/(1 - 33/h) is divided by c(6)?
15
Let s(z) = -111*z + 2. Let n be s(-1). Let l = n - 108. Calculate the remainder when 15 is divided by l.
0
Suppose -3*g = 2*p - 183, 0 = -g + p + 2*p + 61. Calculate the remainder when g is divided by 8.
5
Let j = -25 - -20. Let i(g) = 2*g**2 + 9*g + 14. What is the remainder when 37 is divided by i(j)?
18
Suppose 0 = 12*f + 24*f - 3492. Calculate the remainder when f is divided by 50.
47
Suppose 518 = -537*z + 539*z. What is the remainder when z is divided by 53?
47
Suppose -4*k + f + 60 = 0, k + 75 = 6*k + 5*f. Calculate the remainder when k is divided by 3.
0
Let u = 1143 - -176. Calculate the remainder when u is divided by 21.
17
Let b(w) = 4*w**2 + 7*w - 5. Let x be b(6). Suppose -5*u + 3*k + 158 = -x, -3*u = 3*k - 189. Let g = 410 + -387. Calculate the remainder when u is divided by g.
20
Let u(v) = 0 + 0 - 2*v + 2 - 1. Let q(b) = b**3 + 11*b**2 + 12*b + 11. Calculate the remainder when q(-8) is divided by u(-13).
26
Suppose -2*h - 4*g + 166 = 0, 2*h + 2*g = -2*h + 332. Calculate the remainder when 158 is divided by h.
75
Suppose -5*h + 14 = 3*k - 6*h, 4*h + 11 = 3*k. Suppose 2*c - 146 = 2*m, -359 = -k*c + 6*m - 3*m. Calculate the remainder when c is divided by 24.
22
Let d = -111 - -134. Calculate the remainder when 201 is divided by d.
17
Let u(t) be the second derivative of 17*t**3/6 - 39*t**2 + 47*t. Let s = 46 + -27. What is the remainder when u(10) is divided by s?
16
Suppose 4*y - 132 = -b, -3*b - 7*y + 4*y = -432. What is the remainder when b is divided by 25?
23
Suppose 0 = 4*a - 412 - 276. Suppose 0 = -2*y + 120 + a. Suppose -y = -4*p + 34. Calculate the remainder when p is divided by 24.
21
Let x(t) = -57*t**2 - 7*t - 5. Let c be x(6). Let i be c/(-11) + (-8)/(-44). Let r = i - 106. What is the remainder when r is divided by 29?
27
Let q(g) = 12*g**3 - 2*g**2 + 5*g - 27. Calculate the remainder when q(3) is divided by (-1 - 1) + -1 - -62.
58
Let z(x) = x**2 + 2*x - 4. Let n be z(4). Suppose 15*y = n*y - 110. What is the remainder when y is divided by 6?
4
Suppose -227*m + 231*m = 72. Let i = -12 + 19. What is the remainder when m is divided by i?
4
Let d(m) be the first derivative of -m**4/4 - 10*m**3/3 - 11*m**2/2 - 10*m + 4. Calculate the remainder when 12 is divided by d(-9).
4
Let l = 487 - 481. Suppose -37 = -3*s + 11. What is the remainder when s is divided by l?
4
Suppose -p + 5*m = -3*p + 39, -4*p - 2*m + 38 = 0. Let w(k) = -3*k + 34. Calculate the remainder when w(p) is divided by (-4)/(-10) + (-76)/(-10).
5
Suppose 125*h - 130*h + 3070 = 0. What is the remainder when h is divided by 56?
54
Suppose 0 = 2*h + 4*j - 6 + 2, 4*j = -4*h + 12. Suppose -15 = h*l - 9*l. Let v(y) = -y**3 - 7*y**2 + y + 17. What is the remainder when v(-7) is divided by l?
1
Let n = 16 - -26. Calculate the remainder when 122 is divided by n.
38
Suppose -p = 9*p - 250. Calculate the remainder when 211 is divided by p.
11
Let l be (-5)/2*8/(-10). Suppose k - 53 = -5*x, x = l + 1. Let i(z) = 10*z**2 - z + 1. Calculate the remainder when k is divided by i(1).
8
Let k(c) = -25*c + 228. What is the remainder when 5 is divided by k(9)?
2
Let k = -1538 - -1555. Calculate the remainder when (-662)/(-14) - 2/7 is divided by k.
13
Suppose q - 2*b = 57, -2*q + 3*b = q - 174. Suppose w - q = -4*d, 3*d - 38 = -0*w - 2*w. Calculate the remainder when d is divided by 6.
4
Let a = 358 - 336. What is the remainder when 324 is divided by a?
16
Let l be 620 - 12 - 1*3. Suppose 223 = -m + l. Suppose 5*p - m - 178 = 0. What is the remainder when p is divided by 19?
17
Let t(o) = -o**2 - 3*o + 1. Let u = 137 + -281. What is the remainder when 2/5 + u/(-40) is divided by t(-2)?
1
Let d = 180 - 96. Suppose -6*n - n = -d. What is the remainder when 83 is divided by n?
11
Let v = 39 - 75. Suppose r = -5*g - r - 498, 388 = -4*g + r. Let c = v - g. What is the remainder when c is divided by 13?
10
Suppose -24*a + 2033 = -1687. Calculate the remainder when a is divided by 52.
51
Suppose -2*s = -2 - 4. Suppose -372 = s*h - 9*h. Calculate the remainder when h is divided by 13.
10
Let l be 44/6*(-3)/(-2). Suppose -2*v - 4*u = -27 - l, 5*v = 3*u + 82. Calculate the remainder when 48 is divided by v.
14
Suppose 63*y = 65*y - 32. What is the remainder when 1085 is divided by y?
13
What is the remainder when (38/(-19))/(2/(-245)) is divided by 29?
13
Suppose 7 + 28 = 7*w. Let q(d) = -2*d**3 + 2*d**3 - 5*d**2 + d**3 + 3. Calculate the remainder when 3 is divided by q(w).
0
Suppose -10*j + j + 9 = 0. Calculate the remainder when 3 is divided by j.
0
Let k be 2 - 0 - (-5 - -2)/3. Let d(b) = 7*b + 3. Calculate the remainder when 118 is divided by d(k).
22
Suppose -7*n = -3*n + 12, 3*n = -2*l + 197. What is the remainder when l is divided by 11?
4
Let i(v) = -v**3 - 36*v**2 + 35*v - 65. Calculate the remainder when 132 is divided by i(-37).
6
Suppose -3*m + 4 + 2 = 0. Suppose 17 = m*n - n. Suppose 0 = -60*c + 58*c + 4*a + 30, 3*c + 5*a + 10 = 0. What is the remainder when n is divided by c?
2
Suppose 157 + 243 = 5*z. Suppose 0 = 4*s - 185 + 21. Let f = z - s. Calculate the remainder when f is divided by 14.
11
Let t = 2 + 1. What is the remainder when (-24)/2*47/(-141) is divided by t?
1
Let q(i) = i**3 + 5*i**2 - 6*i - 5. Suppose -4*p = -2*z - 26, 0 = 5*p + z + 2*z - 60. Calculate the remainder when q(-4) is divided by p.
8
Let z = 63 - 53. What is the remainder when 7/(70/45)*z is divided by 12?
9
Let x = 43 - 29. Suppose 13 = 3*n - 2, 0 = -7*k + 2*n + 473. Calculate the remainder when k is divided by x.
13
Let i(d) = -49*d**3 + 2*d**2 - 1. Let l be i(1). Let x(z) = z**2 + 2*z + 26. What is the remainder when x(-4) is divided by (2/4)/((-2)/l)?
10
Suppose -599 + 65 = -6*g. Let u = -14 + g. What is the remainder when u is divided by 13?
10
Suppose 4*g = 3*l + 5, -10 + 8 = -g. Suppose 0 = -4*f + f - 9. What is the remainder when 73/l + f + 3 is divided by 19?
16
Suppose 306 - 40 = 7*i. What is the remainder when 415 is divided by i?
35
Let p(u) = 16*u - 59. Let a(i) = 3*i - 12. Let h(d) = -22*a(d) + 4*p(d). Suppose 90 = 3*n + 2*n. What is the remainder when n is divided by h(9)?
8
Let b(r) = 50*r**3 - 8*r**2 - 4*r + 1. Calculate the remainder when b(2) is divided by 61.
56
Suppose -g + 2*h = -2*h - 5, -5*g = -3*h + 9. What is the remainder when 73 is divided by (-116)/(-3) + ((-22)/6 - g)?
35
Suppose -4*a - 3575 = -29*a. What is the remainder when a is divided by 48?
47
What is the remainder when (0 - -137)*1 - (15 + -14) is divided by 6?
4
Let i = -184 + 193. What is the remainder when i is divided by 6?
3
Calculate the remainder when 537 is divided by ((-78)/(-195))/((-1)/(-75)).
27
Suppose 6*z + 372 = 846. What is the remainder when 1182 is divided by z?
76
Suppose 2*w - 57 = 501. Suppose -b + 2*b + 3*l = 51, w = 5*b + 3*l. Calculate the remainder when b is divided by 12.
9
Suppose 9 = 6*m - 3. Let g be 78 + -4 + (m - -1). Let w = g - 42. What is the remainder when w is divided by 19?
16
Calculate the remainder when 33*(2 - -3) - 6 is divided by 16.
15
Let k = -2 - -6. Let z(d) = -287*d + 1461. Calculate the remainder when z(5) is divided by k.
2
Suppose -59*g + 1435 = 137. What is the re