 3*z + 4*w - 62. Calculate the remainder when z is divided by h.
3
Let k(q) = -q**3 - 24*q**2 + 166*q + 3591. Let i(s) = -s**3 - s**2 - s + 35. What is the remainder when k(-25) is divided by i(0)?
31
Suppose 0 = -2*z - 228 + 276. What is the remainder when 54 is divided by z?
6
Calculate the remainder when (-126)/(-5) + (-2)/10 is divided by 6.
1
Let b(y) = y**3 + 13*y**2 - 21*y - 19. Let i be b(-14). Suppose -57 = -z - 5*w, -3*z + 4*w = -i - 35. What is the remainder when z is divided by 12?
6
Let k(r) be the first derivative of r**2 + 8*r + 20. What is the remainder when k(5) is divided by 10?
8
Let j = -255 + 264. Calculate the remainder when 51 is divided by j.
6
Let z(o) = 0 - 5 - 3*o - 2. Suppose s + 0*s + 12 = 0. Calculate the remainder when z(s) is divided by 8.
5
Suppose -4*t - 17 = -2*y + 3, 2*y - 5*t = 20. Calculate the remainder when 39 is divided by y.
9
Suppose 2*i = -4*f + 40, 5*i + 0*f + 4*f - 130 = 0. Suppose -t + 6*t - i = 0. What is the remainder when 1*(0/4 + 13) is divided by t?
1
Suppose 0 = 4*x + x - 35. Let u be (-60)/16*(-8)/(-3). Calculate the remainder when (5/u)/(2/(-52)) is divided by x.
6
Let p(v) = 19*v**3 + v**2 + 4*v - 3. Suppose 5*x + 10 = 15. Calculate the remainder when 102 is divided by p(x).
18
Let t(v) = v**2 + 5*v. Suppose -4*j = -6*j - 4*q - 34, -5*j = -4*q + 15. What is the remainder when 27 is divided by t(j)?
13
Let g(a) = 2*a + 19. Let q = -20 - -14. What is the remainder when 1 + 2/(8/100) is divided by g(q)?
5
Let u(w) = w**2 - 6*w + 5. Suppose -10 = 2*b + 5*c, 3*b - 22 = 5*c + 13. Calculate the remainder when u(7) is divided by b.
2
Let s be 8883/42 + 2/(-4). Suppose 5*d - s = 3*n, 2*d - 51 - 34 = n. Calculate the remainder when d is divided by 23.
21
Let g = 530 - 325. Calculate the remainder when g is divided by 26.
23
Let u(b) = 7*b + 22. Let f be u(9). Suppose 0 = -0*t - t + f. Suppose -2*j - g = j - 64, 4*j + g - t = 0. What is the remainder when j is divided by 12?
9
Suppose 11*l - 165 - 528 = 0. Calculate the remainder when l is divided by 32.
31
Suppose 4710 = 49*k + 1133. Suppose -167 = -4*q + 2*s + 3*s, -2*s + 146 = 4*q. Calculate the remainder when k is divided by q.
35
Let h(z) = z**3 + 7*z**2 - 2*z - 3. Suppose 22*g - 1045 = -341. What is the remainder when g is divided by h(-7)?
10
Let c = 1269 - 1239. What is the remainder when c is divided by 14?
2
Let b(q) be the second derivative of -q**5/20 + q**4/12 + q**3/6 + 4*q**2 + 2*q. Let x be b(0). What is the remainder when 35 is divided by (6/x)/((-2)/(-48))?
17
Let q be (-819)/18*(1 + -3). Let d = q + 37. What is the remainder when d is divided by 33?
29
Suppose -2*p + 132 = 5*c + 7, -380 = -5*p + c. What is the remainder when 376 is divided by p?
1
Let y = 159 - -304. Calculate the remainder when y is divided by 16.
15
Suppose -2*g + 4 - 48 = -5*l, -88 = 4*g + 3*l. Let z = g - -38. What is the remainder when z is divided by 5?
1
Let d be 0*2*(-4)/8. Suppose d*b = -3*b - 5*x - 56, -3*b = -4*x + 20. Let y(q) = -q**2 - 15*q + 3. Calculate the remainder when y(b) is divided by 10.
9
Suppose -2*k + 5*l + 127 = -k, -4*k + 458 = 5*l. Let m = 17 + -85. Let d = 98 + m. Calculate the remainder when k is divided by d.
27
Let g = -44 - -108. Let w(c) = -c**3 + c**2 - 4*c - 10. Let i be w(-3). Let m = g - i. Calculate the remainder when 103 is divided by m.
25
Suppose 7*w = -4*w + 2750. Calculate the remainder when w is divided by 15.
10
Let k(m) = -m**2 + 6*m + 1. Suppose z + 4*i - i + 9 = 0, 4*z - 24 = 3*i. Suppose -22 = 4*h - 170. What is the remainder when h is divided by k(z)?
7
Suppose 211 = 2*s + m, 4*s - 201 = -5*m + 236. Suppose 5*d = -3*k + 139, 2*d = 3*d - 2*k - 20. Calculate the remainder when s is divided by d.
25
Let v = 123 + -9. Calculate the remainder when v is divided by 36.
6
Let p be -1 - (-4 + 1) - 1. Suppose 3*r = -5*f + 6*f + p, 0 = 4*f + r - 35. Let g = -1796 - -1817. Calculate the remainder when g is divided by f.
5
Suppose z = 2*l + 20, 0*z + 3*z - 54 = 4*l. Let q = -51 + 56. Suppose 3*o = q*n + 177, -3*o + 121 = 2*n - 35. What is the remainder when o is divided by z?
12
Let z = -26 - 10. What is the remainder when -2 + 4 + -4 + 1 - z is divided by 10?
5
Let h(w) = w**3 + 19*w**2 - w - 15. Let b be h(-19). Let y be ((-5)/3)/(2/(-6)). Suppose -y*n = -b*n - 53. Calculate the remainder when n is divided by 11.
9
Suppose 11*y - 269 = 952. What is the remainder when y is divided by 19?
16
Let t = 190 + -91. Calculate the remainder when t is divided by 35.
29
Suppose 13 = -9*x + 112. Calculate the remainder when 124 is divided by x.
3
Let v(x) = -4*x**2 + 16*x - 23. Let b(y) = -5*y**2 + 15*y - 23. Let a(d) = 5*b(d) - 6*v(d). Calculate the remainder when 114 is divided by a(-21).
22
Let h = 978 - 954. Calculate the remainder when 68 is divided by h.
20
Suppose -2*w - z = -555, -5*w + 4*z = -1880 + 486. What is the remainder when w is divided by 94?
90
Let c(q) = 31*q**2 + 60*q - 122. What is the remainder when c(2) is divided by 32?
26
Let m(x) = 11*x - 123. What is the remainder when 119 is divided by m(16)?
13
Suppose -5*r = -5*s - 470, -2*r = 2*r + 5*s - 403. What is the remainder when r is divided by 51?
46
Suppose -6*x + k = -2*x - 293, 3*x - 206 = -2*k. Suppose 0 = 4*c - 12*c + x. Calculate the remainder when 69 is divided by c.
6
Suppose 2*p + 32 = -0*j + 4*j, -2*j = 2*p - 4. Suppose -108 = -3*z - j*z. What is the remainder when z is divided by 5?
2
Let m(r) = 4*r**2 + 55*r - 8. What is the remainder when 80 is divided by m(-14)?
2
Let f = 20 + -7. Calculate the remainder when 193 is divided by f.
11
Suppose -6*j + 12 = -3*j. Suppose -y - x - 2*x + 9 = 0, -j*x = 2*y - 14. What is the remainder when 19 is divided by y?
1
Suppose -4*z = -18 - 38. Suppose -6*b - z = -224. What is the remainder when 137 is divided by b?
32
Suppose 30*l - 954 - 876 = 0. Calculate the remainder when l is divided by 11.
6
Let w(r) be the third derivative of -1/30*r**5 - 1/24*r**4 + 4*r**2 + 0*r + 0*r**3 + 1/120*r**6 + 0. What is the remainder when w(4) is divided by 15?
13
Let k = 17 - 15. What is the remainder when 16 is divided by (k/12)/(2/8)*3?
0
Let i = 47 + -45. What is the remainder when 57 is divided by (-10)/(-35) - -103*i/14?
12
Let g = 1146 + -1123. What is the remainder when 183 is divided by g?
22
Suppose -1833 = -50*g + 3*g. Calculate the remainder when 304 is divided by g.
31
Let o = -305 + 457. Suppose 0*s = 4*s + o. What is the remainder when 14 is divided by (-4)/18 + s/(-9)?
2
Let d = -7 + 74. Calculate the remainder when 198 is divided by d.
64
Let w(r) = 15*r**2 - 3*r**2 + 4 - 2 - 4*r + 2*r**2. Calculate the remainder when 21 is divided by w(1).
9
Let s = -37 - -55. Calculate the remainder when (-2)/(-6) + (-47)/(-3) is divided by 4/s + 52/9.
4
Suppose 0 = -2*x + 8, -4*p + 190 = 5*x - 22. What is the remainder when 383 is divided by p?
47
Let v(n) = -18*n - 81. What is the remainder when 127 is divided by v(-7)?
37
Let f(j) = -j**2 - 163 + 160 - j + 9*j. What is the remainder when 2/(2/46*1) is divided by f(5)?
10
Suppose -s + 96 = 2*s. What is the remainder when (0 + s)/((-8)/(-4)) is divided by 6?
4
Let t(f) = -f**2 + f + 90. Suppose 0 = -11*k - 1 + 1. Suppose -6*g + 11*g - 5*b = 140, k = 3*g + 3*b - 54. What is the remainder when t(0) is divided by g?
21
Suppose 3*z - 4*k = 17 + 59, -5*z + 2*k + 108 = 0. Let u = -12 + z. Calculate the remainder when u is divided by 5.
3
What is the remainder when 536 is divided by (366/12)/((-2 - 1)/(-6))?
48
Let z(c) = c**3 - 8*c**2 + 42*c - 8. Calculate the remainder when z(5) is divided by 2.
1
Suppose -7*i - 1772 = -3*g - 2*i, -3*g + 2*i = -1787. Calculate the remainder when g is divided by 100.
99
Suppose 15 - 3 = 3*d. Suppose 3*s = g - 33 + 1, d*g - s - 128 = 0. Calculate the remainder when 126 is divided by g.
30
Let o(j) = 2*j**2 - 5*j - 6. Let w be o(5). Suppose x - p = w, -3*p - 21 = -4*x + 58. Suppose -98 - x = -5*z. Calculate the remainder when z is divided by 9.
6
Let h(p) = p**3 - 44*p**2 + 88*p - 20. What is the remainder when h(42) is divided by 47?
7
Let w(a) = a**2 + 12. Let h = -16 - 6. Let j = h - -22. What is the remainder when 34 is divided by w(j)?
10
Suppose t = 5*m - m + 24, -4*t + 5*m + 63 = 0. Suppose -p + 5*g = -t, -2*g + 5 - 3 = 0. Calculate the remain