13 = -q - 6*u + u. Let x(n) = n**3 + 3*n**2 - 41*n + 8. What is the remainder when x(q) is divided by 3?
1
Let q(k) = k**3 - 3*k**2 + k + 2. Suppose -5*n = -d + 23, 2*d - 6*d + 28 = -4*n. What is the remainder when q(4) is divided by (24/(-20))/((-6)/90*d)?
4
Let w = -5275 + 5772. What is the remainder when w is divided by 489?
8
Suppose 140 = 3*u + o - 0, 3*u = 2*o + 125. Let k(n) = -n**3 + 6*n**2 + 15*n - 8. Calculate the remainder when k(6) is divided by u.
37
What is the remainder when (15 + 62)*(-546)/(-77) is divided by 138?
132
Let m = -55 - -57. Suppose 5*g + m*g - 98 = 0. Calculate the remainder when 89 is divided by g.
5
Let r = 1177 - 30. Suppose -9*y + 2237 = -r. Calculate the remainder when y is divided by 54.
52
What is the remainder when (15/30)/(1/(-2))*(-428)/2 is divided by 18?
16
Let r(o) = 48*o - 14. What is the remainder when r(7) is divided by 113?
96
Let r(t) = -99*t + 11650. Calculate the remainder when 316 is divided by r(117).
48
Let l(r) be the first derivative of -r**2 + 36*r + 18. What is the remainder when l(-11) is divided by 15?
13
Let h(a) = 133*a - 1325. Calculate the remainder when h(12) is divided by 16.
15
Suppose -21 = -y + 2*g, 4*y - g - 84 = -3*g. What is the remainder when y*-4*((-2 - 3) + 4) is divided by 31?
22
Let r be (7/5)/(5/225). Suppose -y - 4*c + r = 0, 4*y + 17 = -5*c + 225. What is the remainder when y is divided by 24?
23
Suppose 0 = -5*x - 3*x + 16. Suppose -l - 36 = -8*b + 3*b, 5*l - 36 = -x*b. Suppose 4*w - 261 + 105 = 0. Calculate the remainder when w is divided by b.
7
Suppose -43*w + 46*w = 4*z + 591, 0 = -5*w + 3*z + 985. Calculate the remainder when 1062 is divided by w.
77
Let g(j) = j**2 + 3*j - 29. Let m be g(5). Let k(h) = h + 4. Calculate the remainder when 55 is divided by k(m).
10
Suppose 38*t - 29*t + 261 = 0. What is the remainder when (t*18/3)/(-2) is divided by 15?
12
Suppose 2*h = -38*l + 33*l + 108, 0 = -h - 3*l + 55. Calculate the remainder when 7397 is divided by h.
47
Let h(z) = -64*z - 467. Calculate the remainder when h(-19) is divided by 30.
29
Suppose 52*h - 934 - 428 = 770. Calculate the remainder when 314 is divided by h.
27
Let n(v) = -v**3 + 5*v + 4. Suppose -2*t = -c + 12, -t = 4*c - 60 - 15. Suppose 54*s - c*s - 936 = 0. What is the remainder when n(-4) is divided by s?
22
Suppose n - 155 = 12*r - 15*r, -n + 147 = r. What is the remainder when n is divided by 48?
47
Suppose 3*y - 464 = -4*a, -5*y = 5*a - 113 - 462. What is the remainder when a is divided by 54?
11
Calculate the remainder when 916 is divided by (-2499)/(-42)*4/7.
32
Let t = 4 + -19. Let b be (4 - (-1 + 4))*25. Let k = b + t. Calculate the remainder when 69 is divided by k.
9
Suppose -4*p - 3*b + 53 = 0, -5*p + 9*b + 75 = 14*b. What is the remainder when 3190 is divided by p?
6
Let v = 199 + -182. Let m = 49 - -5. Let k = m - 23. Calculate the remainder when k is divided by v.
14
Let q = -9 + 11. Suppose 4*x + p = 22, -q*x - 2*p + p + 12 = 0. Suppose 2*r + x*n = 7*r - 265, 3*r + 3*n = 189. Calculate the remainder when r is divided by 30.
28
Let x(k) = 59*k + 59. Let t be x(9). Suppose 0 = -12*i + 1174 + t. Calculate the remainder when i is divided by 37.
36
Let i be 1/2*(15 - 7). Suppose 5*t = 8 + 7, 0 = 5*x - i*t - 423. Let f = -972 + 987. What is the remainder when x is divided by f?
12
Suppose -6970*h + 6954*h + 5840 = 0. Calculate the remainder when h is divided by 18.
5
Let r(m) = -m**2 - 48*m + 1164. Calculate the remainder when 445 is divided by r(-63).
7
Let q = -25 + 27. Suppose -4*g = -5*g - q*w - 17, -3*g = -4*w + 1. What is the remainder when 6 + -6 - g/(21/72) is divided by 3?
0
Let u be (4*5/(-60))/((-2)/18). Let n(p) = -p**3 + 8*p**2 - 6*p + 6. Calculate the remainder when n(u) is divided by 20.
13
Let h(t) = -t**2 + 2*t + 1. Let o(l) = 2*l**2 - 10*l + 40. Let y(b) = -3*h(b) - o(b). Calculate the remainder when 81 is divided by y(6).
13
What is the remainder when 7075 is divided by (-7)/((-49)/(-154)) + 138?
115
Let r(m) = 236*m + 16. Calculate the remainder when 477 is divided by r(0).
13
Suppose 91*c - 95*c + 456 = 0. Calculate the remainder when 776 is divided by c.
92
Let j = 350 + -116. Suppose -j = -12*y - y. What is the remainder when y is divided by ((-1)/(-3)*9)/1?
0
Let c = -355 + -256. Let y = 615 + c. Let o = 83 - 28. Calculate the remainder when o is divided by y.
3
Let t = -7431 - -8816. Calculate the remainder when t is divided by (-1768)/(-28) - 3/21.
62
Let f(w) = 238*w**3 + w**2 + 9*w - 11. Calculate the remainder when f(1) is divided by 35.
27
Let p = -1560 + 1606. Calculate the remainder when 1618 is divided by p.
8
Let d(k) = -237*k + 479. Calculate the remainder when 1623 is divided by d(2).
3
Let q(z) = 2*z**2 + 25*z - 1038. What is the remainder when 544 is divided by q(-31)?
108
Let i = 102 + -91. Let k(a) = -a**3 + 13*a**2 - 15*a + 21. Let x be k(i). Let r = x - 71. What is the remainder when 76 is divided by r?
22
Suppose 205*n = 203*n + 2122. What is the remainder when n is divided by 21?
11
Suppose 17*w = 9*w + 32. Let j(k) = k**3 - 4*k**2 + 10*k - 1. Calculate the remainder when 114 is divided by j(w).
36
Suppose 4*a = -26*s + 30*s + 20, 0 = -4*a + 3*s + 17. Suppose -o + 2*g = -61, o + 3 - 64 = -a*g. What is the remainder when o is divided by 16?
13
Suppose 118*l - 113*l = 4*r - 1006, 2*l + 765 = 3*r. What is the remainder when r is divided by 94?
71
Suppose 0 = 8*w + 2606 - 4870. Calculate the remainder when w is divided by 134.
15
Suppose 15*a - 83 = 10*a - w, 2*a - 38 = 2*w. Suppose 6*o - 3*o + 2*f = a, -51 = -4*o + 3*f. Calculate the remainder when 196 is divided by o.
7
Suppose -3*p + 5*l = -152, -5*p - 6*l - 77 + 402 = 0. Calculate the remainder when 201 is divided by p.
24
Suppose 3*t + 6 = 5*v + 17, -3*t + 46 = 2*v. Suppose 121*m - 119*m - 92 = 2*w, -5*m - w + 212 = 0. What is the remainder when m is divided by t?
7
Calculate the remainder when 1 - (-122)/1 - (-11 + 16) is divided by 27.
10
Let i(p) = -690*p + 8348. Calculate the remainder when 2694 is divided by i(12).
42
Suppose -6750 - 326 = -4*p + 2*f, p - 1772 = 2*f. Suppose 6*k + 1684 = p. Calculate the remainder when 149 is divided by k.
9
Suppose 0 = 3*w - 2*k - 663, -w + 237 = -0*w + 2*k. Suppose -3*d + 4*n = 58, 5*n = n + 16. What is the remainder when w is divided by -1 + 4 - 756/d?
54
Calculate the remainder when 178020/4950 + 4/110 is divided by 12.
0
Let d(k) = 9*k**2 - 16*k - 9. Let z be d(5). Let q = z - 133. Calculate the remainder when 37 is divided by q.
1
Let g = -31 + 266. Suppose d - i = -4*d + g, 0 = -2*i + 10. Suppose 25 = m - 4*c, 20*c - 22*c - 75 = -3*m. What is the remainder when d is divided by m?
23
Suppose 826 = 4*f + 230. Suppose -145*d = -f*d + 132. Calculate the remainder when 228 is divided by d.
30
Suppose 4*m = 365 + 159. Calculate the remainder when m is divided by (-132)/(-16) - 35/56*2.
5
Let j(d) = 3*d. Let f(v) = v**3 + v**2 - 3*v - 1. Let o be f(-2). Calculate the remainder when 5/(-5) - (-11)/o is divided by j(1).
1
Let i = -72 - -37. Let n = 190 + i. Suppose -7*t = -n - 6. Calculate the remainder when t is divided by 13.
10
Let m(y) = -33*y + 18. Let b = 166 - 138. Calculate the remainder when b is divided by m(0).
10
Suppose -2*w + 42 = 2*f - 4*w, w = -4*f + 99. Suppose 0 = -8*h + 5*h - f. What is the remainder when ((-5)/15 - 57/18)*h is divided by 19?
9
What is the remainder when 1597 is divided by (-9 - -6) + 15 + (-6)/(1 - -1)?
4
Suppose -6*c + 64 = -98. Suppose -a = 2*a - c. Suppose a*s + 112 = 23*s. What is the remainder when 111 is divided by s?
7
Suppose -3*x = -5*r + 1572, 0*x + 3*x = -r + 300. Let z = 470 - 435. What is the remainder when r is divided by z?
32
Suppose -q + 23 = 2*b, -b + 3*q + 15 = -0. Let r(y) = -5*y - 12. What is the remainder when r(-9) is divided by b?
9
Let x be (0/(-1))/(5 - (-12)/(-3)). Suppose 80*h - 87*h + 399 = x. Calculate the remainder when h is divided by 33.
24
Let p(b) = 20*b + 5. Let t be p(-2). Let a(z) = -z**3 + 4*z**2 + 4*z + 8. Let n be a(-3). Let c = n + t. Calculate the remainder when c is divided by 5.
4
Suppose 3*v - 42 = -0*v. Let f be (-260)/6*(-4 - -3 - 2). Suppose -75 - f = -5*h. Calculate the remainder when h is divided by v.
13
Suppose 384 = 4*m - 4*b - 1840, b + 1658 = 3*m. Calculate t