 - 17. Calculate the remainder when 11 is divided by g(a).
1
Let r be ((-1)/(-2))/(1/2)*33. Suppose r + 92 = 5*y. What is the remainder when y is divided by 10?
5
Let z(s) = 3*s - 26. Let c be z(9). Suppose t = c, -36 = -g - t + 4*t. What is the remainder when 115 is divided by g?
37
Suppose 101*q - 365 = -2*g + 104*q, -g = 3*q - 196. Calculate the remainder when g is divided by 34.
17
Let v(a) = a**2 + 7*a + 8. Let n be v(-6). Let w(b) = -9*b**2 + 2*b + 2. Let u be w(n). Let z = -14 - u. What is the remainder when 30 is divided by z?
14
Let i(z) = -z**3 - z - 1. Let s(v) = -97*v**3 + v**2 + 2*v + 2. Let r(a) = 2*i(a) + s(a). Calculate the remainder when r(-1) is divided by 26.
22
Suppose 0 = 2*u + 4*w - 88, 4*u + 0*u - 176 = -4*w. Calculate the remainder when 105 is divided by u.
17
Let h = -522 + 594. Calculate the remainder when 643 is divided by h.
67
Let m = -19 - -35. Suppose m = -i + 34. What is the remainder when 87 is divided by i?
15
Suppose 0 = 150*o - 50*o - 500. What is the remainder when 552 is divided by o?
2
Suppose 0 = -4*l + 5*l. Suppose -3*r - 3*r = l. Suppose r*j + 40 = 5*j. What is the remainder when j is divided by 5?
3
Suppose -3*n + n - 5*b + 63 = 0, -b - 69 = -2*n. Suppose -d + 2*d = -4*o + 267, -2*o + d = -135. Calculate the remainder when o is divided by n.
33
Let t(o) = 2*o**2 + 34*o + 15. What is the remainder when 103 is divided by t(-17)?
13
Suppose -5*s = -5*b - 10, -2*s = -4*b + 3*s - 12. Let j be 1*(28 + 2 + b). Let w = -14 + j. Calculate the remainder when 34 is divided by w.
16
Suppose 15 = -3*h, -3*h - 331 = -5*t - 81. Let k(s) = s + 3. Let n(x) = 2*x - 1. Let q be n(3). Calculate the remainder when t is divided by k(q).
7
Let a be -3*(-3)/(-9)*-4. Let w be (-19 - -21) + a*1. What is the remainder when -2*((-303)/w - 1) is divided by 21?
19
Suppose -l + 5*f = -62 + 18, 4 = -4*f. Calculate the remainder when 193 is divided by l.
37
Suppose -h = 2*h. Suppose -4*x + 3 + 1 = h. What is the remainder when x/4 + 230/8 is divided by 15?
14
Suppose -5*w = -5*n - 80, 4*n + 0 = -4*w - 104. Let o = 42 + n. What is the remainder when o is divided by 6?
3
Suppose s = 3*t + 27, -4*t = s - 3*t - 19. What is the remainder when 68 is divided by s?
5
Let h(l) = -27*l + 152. Calculate the remainder when (-63)/(-2) + 1/(-2) is divided by h(5).
14
Suppose 0 = -i + 18*n - 22*n + 3, -3*n - 88 = -4*i. What is the remainder when 169 is divided by i?
17
Suppose -276 = 3*m + 384. Let r = m + 314. Calculate the remainder when r is divided by -11 + 9 + 20 + 1 + 0.
18
Let d(m) be the second derivative of -m**4/12 + 13*m**3/6 + 27*m**2/2 + 2*m. Calculate the remainder when 114 is divided by d(12).
36
Suppose -3*p = -p - 14. Suppose 275 = -6*k + 1067. Suppose -p*l + k = -l. Calculate the remainder when l is divided by 8.
6
Let w(h) = -h**2 + 8*h - 4. Let r be w(3). Suppose 2*b - 3 = r. Calculate the remainder when 54 is divided by (-2)/b + (-200)/(-14).
12
What is the remainder when -206 + 2895 + 1 + -3 is divided by 64?
63
Suppose -5*g + 4 = -y, -5 = -y - 4. What is the remainder when (-1 + -37)*g/(-2)*5 is divided by 14?
11
Suppose q + 0 = 4*v - 9, -3*v - 6 = -5*q. Calculate the remainder when 3 + 69 - -2*q/(-2) is divided by 19.
12
Let k = 1387 - 1325. What is the remainder when 138 is divided by k?
14
Let h be 3*(1 - (-1 + 1)). Let g(z) = z - 1. Let u(q) = 8*q + 5. Let x(w) = h*g(w) - u(w). What is the remainder when 35 is divided by x(-4)?
11
Suppose 462 = 3*s + 5*r - 1434, 3*r = -4*s + 2539. What is the remainder when s is divided by 128?
125
Let v = -17 + 24. Let k = 9 - v. Suppose 29 = 2*l - j, 0 = -5*l + k*j + 18 + 54. Calculate the remainder when 53 is divided by l.
11
What is the remainder when ((-105)/175)/((-2)/1010) is divided by 8?
7
Let i be 4/(-10) + 27/5. Suppose -i*v + 55 = 15. Calculate the remainder when 8283/363 - (12/22)/(-3) is divided by v.
7
Suppose 3*p - 4*p = 2. Let f be 3*p/15*-5. Suppose 0*q = 5*r - f*q - 463, -2*q - 184 = -2*r. What is the remainder when r is divided by 24?
21
Let w = 563 - 455. Calculate the remainder when 310 is divided by w.
94
Let w be (6/18)/(-1 - (-78)/81). Suppose -t = 3*t + 288. What is the remainder when (-200)/w - (-16)/t is divided by 13?
9
Let r be 2/5 + 378/(-45). Let g(x) = -x + 26. Calculate the remainder when 100 is divided by g(r).
32
What is the remainder when -4 - 2/4*-6 - -36 is divided by 16?
3
Let l(h) = 2*h - 13. Let d be l(8). Suppose -s - d*s + 100 = 0. Calculate the remainder when s is divided by 9.
7
Let o(t) = -61*t. Suppose -5*n = 25, -q + 2*q + n = -7. What is the remainder when o(q) is divided by 41?
40
Let z = -85 + 247. What is the remainder when z is divided by 60?
42
Suppose 12*t = 10*t - 4*u + 28, 40 = 5*t + 4*u. Suppose 29 = t*x + 5*w - 67, 0 = 3*x - w - 72. Calculate the remainder when x is divided by 7.
3
What is the remainder when 261*1 + 268/134 is divided by 55?
43
Let m be 46 + 1*(-1 + 0). Let q be (-8)/12 - 3/(27/(-24)). Suppose -6*j + q*j = z - 22, -m = -3*z - 5*j. What is the remainder when 27 is divided by z?
7
Let r(v) = v**3 + 16*v**2 - 6*v - 13. Let d = -3 + -13. Calculate the remainder when r(d) is divided by ((-63)/12)/(2/(-8)).
20
Let w(s) = -10*s - 4. Let l be w(-5). Let z = 78 - l. Suppose 3*d + 0 = 33. Calculate the remainder when z is divided by d.
10
Suppose -82 = -14*c + 240. Calculate the remainder when 90 is divided by c.
21
Let x(j) = 102*j**3 - j**2 + 5*j - 5. Calculate the remainder when x(1) is divided by 6.
5
Let s = -106 + 175. Let g = -54 + s. What is the remainder when g is divided by 6?
3
Suppose 0*t = -u + t + 18, -4*t - 46 = -2*u. Suppose -4*r - 2*q - 3*q + 35 = 0, r - 3*q - u = 0. What is the remainder when r is divided by 5?
0
Let o = -18 - -37. What is the remainder when 30 is divided by o?
11
Let n(b) = 15*b - 398. Calculate the remainder when n(35) is divided by 76.
51
Suppose -5*a - 2 = -62. Let l = a - 9. What is the remainder when 69 is divided by -2*((-12)/l - 8)?
21
Let i = 7 - -2. Suppose c + c = 5*h - 15, -3*h - c = -i. Suppose -h*u = 2*u - 140. What is the remainder when u is divided by 10?
8
Let z = 16 - 13. Let a(l) = -9*l + z*l + l - 2*l - 6. Calculate the remainder when a(-8) is divided by 13.
11
Suppose 12*k = 27*k - 1680. What is the remainder when k is divided by 23?
20
Suppose 2*u + s = 29, -4*u + 2*s = 3*s - 53. Calculate the remainder when 22 is divided by u.
10
Suppose 842 + 549 = 13*o. What is the remainder when 314 is divided by o?
100
Suppose 4 + 6 = 2*c. Suppose 4*w - c*u - 163 = 0, w + 0*u = u + 41. Suppose 0 = -k - k + 30. What is the remainder when w is divided by k?
12
Suppose 0 = -13*w + 22 + 17. Suppose 2*v = -w*i - 2*i + 28, -8 = -4*i. Calculate the remainder when 23 is divided by v.
5
What is the remainder when 77 is divided by (-4375)/(-245) + (-2)/(-14)?
5
Let u(a) = 33*a - 97. Calculate the remainder when u(3) is divided by 2.
0
Suppose 78 = 2*g + x, -g + 27 = -2*x - 2. What is the remainder when 106 is divided by g?
32
Let p(d) = 12*d**2 - 3*d + 1. Calculate the remainder when 47 is divided by p(1).
7
What is the remainder when 37 is divided by -5*(0 + 1 - (-360)/(-75))?
18
Let p be 1 - (1/(-1) - 76). Suppose 22 = -w + 4*w + 4*g, 0 = -2*w - 3*g + 13. Calculate the remainder when (-4 + 2)*p/(-4) is divided by w.
11
Let a = 98 - 93. Suppose 2*h + 2*h = 4*y + 56, -84 = -a*h - 2*y. Suppose -5*j - 222 + 612 = 0. What is the remainder when j is divided by h?
14
Calculate the remainder when (-1773)/6*2/(-3) is divided by 27.
8
Let s(k) = -2*k**2 + 15*k - 2. Calculate the remainder when 172 is divided by s(6).
12
Let n = 5 - 32. Let y be (-1518)/n + 10/(-45). Suppose 21 - y = -a. What is the remainder when a is divided by 12?
11
Suppose 24 = -5*p + 8*p. Suppose 0 = -2*z - 2*a + p, z - 5*a = -a - 1. Calculate the remainder when z is divided by 2.
1
Suppose -15*u = -1320 - 240. What is the remainder when u is divided by 78?
26
Suppose 5 = 2*p + k, p = 4*k + 4 + 21. Suppose 3*x + 2*q - 100 = -2*q, -q + 33 = x. Let m = -23 + x. Calculate the remainder when m is divided by p.
4
Let x(d) = -d**2 - 21*d + 46. Let w be x(-23). Suppose w = -7*n - n + 200. Calculate the remainder when 38 is divided by n.
13
Suppose 2*j + 37 = 5*p, -4*p - 2*j + 28 = -4*j. Suppose -3*o + 0 = p, 92 = 5*z - 4*o. Ca