the remainder when t is divided by 8?
7
Let f = 19 + -23. Let h be (5/f)/(4/(-272)). Suppose -5*m = -2*c - h, -2*m - c + 34 = 4*c. What is the remainder when m is divided by 9?
8
Let a(z) = 197*z + 301. What is the remainder when a(4) is divided by 42?
39
Suppose -5*t = -3*y - 792, -13*t = -9*t + 3*y - 612. What is the remainder when t is divided by 27?
21
Suppose -3*p + 131 + 613 = 4*s, 12 = -3*p. Calculate the remainder when s is divided by 41.
25
Suppose o = 0, 0 = -5*l - 3*o + 2*o + 105. What is the remainder when 33 is divided by l?
12
Let f = -147 + 219. Suppose -2*p - 134*d + 14 = -129*d, 105 = 3*p - 3*d. Calculate the remainder when f is divided by p.
18
Let p(u) = u**3 + 7*u**2 - 2*u - 4. Let b(c) = -c**3 - 15*c**2 - 13*c + 8. Let t be b(-14). Calculate the remainder when p(t) is divided by 23.
21
Suppose -o + 0*o = -96. Suppose 8*m - 1113 = -33. Let d = m - o. What is the remainder when d is divided by 14?
11
Let o be 1/((-2)/(1*-8)). Suppose -25 = 5*i, 8*l = o*l - 5*i + 131. What is the remainder when l is divided by 8?
7
Let a = 57 - 62. Calculate the remainder when 11 is divided by 2/a - (-160)/25.
5
Suppose 2*h - 1134 = -h. Calculate the remainder when h is divided by 76.
74
Let y = -2 + 2. Suppose -4*f + 11 - 113 = -c, -f - 3 = y. What is the remainder when c is divided by 23?
21
Let q be (-28)/(-12) - -3*(-2)/(-9). Suppose 3*n = p - 48, -q*p + 5*p - n = 106. Calculate the remainder when p is divided by 20.
14
Let s = -582 + 636. Calculate the remainder when 753 is divided by s.
51
Suppose -5*d + 2*a + 61 = 0, 2*d - 2*a = 3*a + 16. Let r(j) = j + 3 + 12 + 6. Calculate the remainder when d is divided by r(-13).
5
Let g = 636 + -567. Calculate the remainder when 174 is divided by g.
36
Let p(i) = 13*i**2 - 2*i + 20*i**3 + 0*i - 11*i**2 + 1 + 24*i**3. Let o be p(1). Calculate the remainder when o/6*4/3 is divided by 3.
1
Let q(d) = -d**2 - 8*d + 59. Calculate the remainder when 76 is divided by q(-8).
17
Suppose -2*q + 6*k + 8 = 4*k, -q + 3*k = -8. Suppose u = 4 - 2. Suppose 3*r - 22 = u*r + q*d, r - 29 = -5*d. What is the remainder when r is divided by 9?
6
Let y(o) = -o + 6. Let w be y(-3). Suppose 1 = -2*m + w. Calculate the remainder when 7 is divided by m.
3
Suppose 109 - 1 = -3*o. Let k = -25 - o. Suppose 0*g + 58 = 3*h + 2*g, -3*h = -g - 61. Calculate the remainder when h is divided by k.
9
Let r be 12/(-15)*15/(-6). Suppose -2*t + 105 = t. What is the remainder when t is divided by 3 + (0 - r) - 11*-1?
11
Suppose 0 = -3*g + 3*k + 159, -5*g + k + 110 = -135. Calculate the remainder when g is divided by 26.
22
Let s be (-2)/((-7)/3*1 + 2). Let n(u) = u + 3. Calculate the remainder when 43 is divided by n(s).
7
Let f(k) = 5*k**3 + 0 - 2*k**3 + 4 + 3*k**2 - 2*k**3. Let j be f(-3). What is the remainder when 38 is divided by 9 - (-1 + j + -4)?
8
What is the remainder when 81 - (-1)/1 - (-15 + 11) is divided by 48?
38
Let o = -73 + 77. Suppose 0*v - 2*v + 34 = 0. Calculate the remainder when v is divided by o.
1
Let s be -24*((-35)/(-15))/(-7). Suppose -s*m + 10*m = 22. Calculate the remainder when 31 is divided by m.
9
Let j = -22 - -26. Suppose -j*w = -45 - 47. Calculate the remainder when w is divided by 13.
10
Suppose 2*a = -j + 2550, 0 = a + 2*j - 1099 - 170. Calculate the remainder when a is divided by 18.
17
Calculate the remainder when 8/2*412*(-7)/(-112) is divided by 18.
13
Let a(f) = -f**3 - 17*f**2 - 19*f - 40. Let n be a(-16). Let j(y) = 9*y - 25. What is the remainder when 279 is divided by j(n)?
44
Suppose 282*w + 267*w = 114*w + 4785. Suppose 5*d - 47 = -2*k, 2*d = -4*k - 3*d + 89. Calculate the remainder when k is divided by w.
10
Let v(x) = 1. Let k(y) = -14*y - 1. Suppose 4*i = -8 - 0. Let r(m) = i*v(m) + k(m). What is the remainder when r(-6) is divided by 28?
25
Let t = 106 - 94. Let o = 8 - 6. Suppose 0 = o*x + 3*x - 165. What is the remainder when x is divided by t?
9
Suppose a - 8 = -5*j, -3*a - 3 = -5*j - 7. Suppose a*b - i = 28, -5*i = -3*b - 0 + 8. Suppose -2*v + b = -11. What is the remainder when 52 is divided by v?
8
Let t be 4/(-5)*(-175)/10. Let i(y) = -y**3 + 15*y**2 - 14*y + 26. What is the remainder when i(t) is divided by 14?
12
Let u be ((-48)/(-30))/(4/30). Let y be 4/(-6)*8712/u. Let z = -334 - y. Calculate the remainder when z is divided by 38.
36
Suppose -4*t = -3*y - 43, -2*t - 2*y + 16 = -2. Calculate the remainder when 101 is divided by (-15)/t + 71/2.
33
Suppose 4*p = 5*z - 7, p + 11 = 2*p + 3*z. Let l be ((-7)/(-21))/(p/102). Suppose l = 4*q - 15. What is the remainder when 14 is divided by q?
6
Let z = -45 + 4. Let r = z + 58. Calculate the remainder when 30 is divided by r.
13
Suppose 3*n + n = 16. What is the remainder when 3*((4 - 2) + 3) is divided by n?
3
Let j(f) = f**2 - f - 26. Let r be j(0). Let a = 54 + r. Suppose 2*u - 19*w = -24*w - 5, 5*u - 75 = 5*w. Calculate the remainder when a is divided by u.
8
Let t be 47 + -3 + 5 + -2. Let n = 63 - t. Calculate the remainder when 29 is divided by n.
13
Suppose 4*t + 3*x - 80 = 0, -9 - 90 = -5*t - 4*x. Let v = t + 9. Suppose -5*r + r + v = 0. What is the remainder when 29 is divided by r?
5
Let o = -10319 - -10355. Suppose -2*m - 358 = -4*m. Calculate the remainder when m is divided by o.
35
Let d = 72 - -4. Suppose -5*q = -4*r - 100, 5*q = -5*r + d + 69. Calculate the remainder when q is divided by 9.
6
Suppose -5*t + 0 + 14 = -3*o, 4*o + 2*t = -36. Let w = 23 - 13. Let n = o + w. Calculate the remainder when 4 is divided by n.
0
Let k(n) = n**2 + 9*n - 12. Let z be k(-12). Suppose 2*s + 0*s = z. What is the remainder when 95 is divided by s?
11
Let z = -925 - -939. Let u = -20 - -29. What is the remainder when z is divided by u?
5
Let t(c) = -c**2 - 20*c + 4. Let p be t(-21). Let h(y) = y**3 + 18*y**2 + 14*y - 14. Calculate the remainder when h(p) is divided by 8.
5
Suppose -17*y = -50*y + 2904. Calculate the remainder when y is divided by 18.
16
Let p be ((-28)/12)/((-2)/(-36)). Let i = p + 96. Let b(z) = 3*z**2 + 3*z - 4. Calculate the remainder when i is divided by b(-3).
12
Let w = -624 + 650. Calculate the remainder when 415 is divided by w.
25
Let l = -22 - -24. Let o be 0/(3 - (l + -1)). Suppose -g - g + 24 = o. What is the remainder when 33 is divided by g?
9
Suppose 0 = 4*f - 6*f + 160. Suppose -12*d + 7*d = -f. Let x = -10 + d. What is the remainder when 15 is divided by x?
3
Let x = -58 - -87. What is the remainder when 2 + -1 + x + -2 is divided by ((-15)/12)/(1/(-4))?
3
Suppose 30 = p + 2*c, -4*p - 6*c + 4*c = -138. Calculate the remainder when p is divided by 10.
6
Suppose -5*v - 2 + 17 = 0. Suppose -4*o - 171 = -v*x - 2*x, -4*o = 16. What is the remainder when x is divided by 16?
15
Suppose -2*c + 3 = -c. Suppose -2*z + 4*a - 72 = 0, 0 = c*a - 0*a. Calculate the remainder when 25 is divided by (-4)/18 + (-332)/z.
7
Suppose 2*j = -j + 54. Let d = 3214 - 3207. What is the remainder when j is divided by d?
4
Suppose 6*x + 1125 = 11*x. Let w = -156 + x. What is the remainder when w is divided by 10?
9
Let l(d) = -24*d - 268. What is the remainder when l(-24) is divided by 78?
74
Let c(w) = -w**2 - 5*w - 1. Let u be c(-4). Let r be -6 + u + 3 - -8. Suppose 6*v = r*v - 114. Calculate the remainder when v is divided by 12.
9
Let j(f) = -f**3 + 10*f**2 - 18*f - 13. Suppose -4*g + 16 = -4. Suppose -5*x + 4 = 4*h, -2*h + x = g*x + 4. Calculate the remainder when j(6) is divided by h.
5
Suppose -2*d - 6 = -y, y - 31 = 3*d - 6*d. Suppose 6*r - g - 265 = 0, -5 = -5*g - 10. What is the remainder when r is divided by y?
12
Let d be -12*8/(-12) + -3. Suppose -72 - 13 = -d*o. Calculate the remainder when (-4)/(-6) + 196/3 is divided by o.
15
Let p(v) = -17*v**2 - 5*v - 13. Let q(o) = -25*o**2 - 8*o - 19. Let x(s) = 7*p(s) - 5*q(s). Calculate the remainder when x(-1) is divided by 4.
1
Suppose -3*n = -7*n + 8, 202 = 4*w - 5*n. What is the remainder when w is divided by 18?
17
Let t be 15/20 + (-21)/12. What is the remainder when 84 is divided by 28 + (1 - t - 1)?
26
Suppose -6*y = -y - 385. Let z = y + -56. What is the remainder when 57 is divided by z?
15
Suppose 109 = 5*k - 5*u - 26, -72 = -4*k - 5*u. Let a(w) = -w**3 - 35*w**2 - 65*w + 39. Calculate the remainder when k is divided by a(-33).
5
What is the remainder when (4*3