 4. What is the remainder when x(t) is divided by 2?
0
Let o(l) = 84*l**2 - l. Suppose -3*i + 33 = -5*r - 19, 0 = 2*i + 4*r - 20. Suppose -i*d + 19*d = 55. Calculate the remainder when o(-1) is divided by d.
8
Let j(q) = 20*q + 0 - 5*q**2 + 3 + 3*q**2. Let m be j(10). Suppose 56 = m*u - 49. What is the remainder when 104 is divided by u?
34
Suppose -34*g = -j - 37*g + 10, 0 = 3*j - 5*g - 100. Let h(o) = 7*o**2 + o - 10. What is the remainder when h(5) is divided by j?
20
Suppose -5*r + 631 = t + 129, 4*r = -t + 502. What is the remainder when t is divided by 3?
1
Let d be (-1 - -7316)/(-5) + 1. What is the remainder when (-1)/(17/d*(1 + 1)) is divided by (-36)/(-20)*40/6?
7
Let a(i) = 21*i - 325. Calculate the remainder when 254 is divided by a(22).
117
Suppose 9428*x + 300 = 4*b + 9423*x, -422 = -6*b + 4*x. Suppose 9*f - 4*f - 75 = 0. Calculate the remainder when b is divided by (2 + 1)*130/f.
13
Suppose 0 = 3*m - 4*x - 9865, 88*m - x + 3293 = 89*m. What is the remainder when m is divided by 54?
51
Let q = 22 + -16. Suppose -4*z = 5*i - 27, 3*z + 5*i - i - 21 = 0. Let s = 0 + z. Calculate the remainder when q is divided by s.
0
Let c = -20 + 35. Let h(z) = z**2 + 17*z - 33. Suppose 60*g - 62*g = 40. Calculate the remainder when h(g) is divided by c.
12
Suppose -11*o - 4*t - 15 = -12*o, -5*t - 31 = -3*o. Suppose -o*n + 31*n = 216. What is the remainder when 239 is divided by n?
5
Let g(m) = -11*m**2 + 167*m - 130. Let r(i) = 5*i**2 - 83*i + 65. Let s(b) = 2*g(b) + 5*r(b). Calculate the remainder when s(32) is divided by 21.
20
Calculate the remainder when 4 + 2280 + (-5 - 19) is divided by 73.
70
Let h(n) = n**3 - 3*n**2 - 15*n + 2. Calculate the remainder when 2/7 - 4120/(-35) is divided by h(6).
18
Suppose -175*l = -3737 - 3231 - 22257. What is the remainder when 181 is divided by l?
14
Suppose 8 + 1414 = 18*g. Calculate the remainder when g is divided by (14/(-12) - -1) + (-85)/(-6).
9
Suppose 2026*i + 12950 = 2076*i. What is the remainder when i is divided by 66?
61
Suppose 4*c + 2*r - 2 = 6, r - 4 = -3*c. Let l(x) = -4*x - 85. Let s be l(c). Let q = 89 + s. Calculate the remainder when q is divided by 2.
0
Suppose -148 - 48 = -q. Let f = 336 - q. Suppose 41*b - 46*b = -f. Calculate the remainder when b is divided by 8.
4
Suppose 227 + 579 = 4*m - 178. What is the remainder when m is divided by 17?
8
Let l be (-1)/5 - (-10)/50. Suppose -2*v = -l*v - 8. Suppose v*i = i + 27. What is the remainder when 25 is divided by i?
7
Let r(c) = 11*c + 293. Let w be r(-25). Suppose 0 = 5*f + w - 83. What is the remainder when 34 is divided by f?
8
Let p = -5 + 16. Suppose 0 = 99*g + 5584 - 18157. What is the remainder when g is divided by p?
6
Suppose -65*w + 20388 + 35958 = 15981. What is the remainder when 1866 is divided by w?
3
Suppose -10*q - 142 = -3*t - 9*q, 5*q = t - 66. Calculate the remainder when 1563 is divided by t.
45
Suppose 0 = 4*t - 5*l - 8 + 18, 0 = -2*t - l + 16. Let i = 2 - -7. What is the remainder when i is divided by t?
4
Let f(w) = -w**3 - 142*w**2 - 246*w + 4803. What is the remainder when (-6)/(-9) + 376/3 is divided by f(-140)?
40
Let b = 5937 - 4037. Calculate the remainder when b is divided by 39.
28
Let c(q) = -3*q**2 + 3*q - 49. Let d(j) = -2*j**2 + 2*j - 25. Let v(f) = 3*c(f) - 5*d(f). What is the remainder when 131 is divided by v(-9)?
63
Suppose -40*n + 42*n - 4 = 0. Suppose -l = 2*l - 2*a - 333, n*a + 115 = l. Suppose -4*p = -71 - l. Calculate the remainder when p is divided by 16.
13
Suppose 14*j = 12*j + u + 3, 4*u - 4 = 0. Suppose 5*n - 360 = -5*g, j*g = -65*n + 68*n + 144. What is the remainder when g is divided by 7?
2
Suppose 102 = -11*l + 157. Suppose 0 = -3*g - l*g + 1176. Calculate the remainder when g is divided by 75.
72
Let c(d) = -8 - 14 + 3*d**2 + 9*d**2 - 1 - 87*d + d**3 + 6. What is the remainder when 388 is divided by c(-17)?
14
What is the remainder when (-9770)/(-24) - (600/(-288))/(-25) is divided by 34?
33
Let b = 3 - 9. Let t = 296 + -88. What is the remainder when (b - -3)/((-6)/t) is divided by 35?
34
Let z(t) = 291*t**2 + 11062*t + 196. Suppose -3*x = -4*x + 114. Calculate the remainder when x is divided by z(-38).
26
Suppose 4*s - 779 = -s - 3*i, -4*s + 2*i = -610. What is the remainder when s is divided by 1/(-40) - (-20)/160 - 1587/(-30)?
48
Let y be (6/(0 + -2))/(9/792). What is the remainder when -1 - (7 + -9) - y is divided by 21?
13
Suppose 0*d + d = -o + 34, -5*d = 2*o - 167. Calculate the remainder when ((-219856)/(-77))/8 + (-624)/(-572) is divided by d.
28
Suppose -34 = -6*y + 20. Suppose -12 = 4*p, x + p + 3 = y. Calculate the remainder when 42 is divided by x.
6
Let g = -107 - -80. Let y = g - -19. What is the remainder when (4/y)/((-3)/648) is divided by 11?
9
Let w(p) = 12*p**3 - p**2 - 2*p - 111. What is the remainder when w(6) is divided by 87?
84
Suppose 9 + 16 = 5*x. Let k = 74 + 200. Suppose t = 3*f - 203, -x*f + k = -f - 2*t. Calculate the remainder when f is divided by 18.
12
Suppose 67*w + 540*w - 26800 = -733*w. Suppose -a + 110 = 3*g - 5*g, -3*a + 2*g = -326. Calculate the remainder when a is divided by w.
8
Let t be 4*((-6)/8 + 2). Suppose -t*d = -7*d - 4. Let h = 16 - d. Calculate the remainder when 70 is divided by h.
16
Suppose -5*j + 56 - 36 = 0. Suppose 0 = j*u - 5*k - 143 + 55, 5*u + 5*k = 155. What is the remainder when 31 is divided by u?
4
Let h(v) = -v**3 - 92*v**2 + 475*v - 186. What is the remainder when h(-97) is divided by 386?
12
Suppose -4*s = 5*q - 621 + 2, -618 = -5*q - 3*s. What is the remainder when 367 is divided by q?
121
Suppose 0 = 3*p - 31 - 17. Suppose 3*s = 769 + 176. Suppose -s = -4*b - 23. What is the remainder when b is divided by p?
9
Let n = -111 - -36. Let r be 4/5 + 60/n. Suppose -4*b = 4*k - 104, r = -k - 5*b + 23 + 15. Calculate the remainder when 137 is divided by k.
22
Let h(k) = 16*k + 191. Suppose 3*n - 2*a = -37, 8*n - 9*n = 3*a + 5. Calculate the remainder when h(n) is divided by 8.
7
Let y = -3505 - -3588. What is the remainder when 11536 is divided by y?
82
Let b(r) = r**3 - 6*r**2 + r + 5. Let m(i) = -863*i - 4. Let u be m(-1). Let y = 873 - u. Calculate the remainder when y is divided by b(6).
3
Suppose -2*i + 643 = 3*j + 202, 5*j = -4*i + 737. Calculate the remainder when 721 is divided by j.
141
Let r = -42 - -41. Calculate the remainder when 18 is divided by ((-16)/(20/5))/1*r.
2
Let q(n) be the second derivative of -n**5/20 + n**4/2 - 2*n**3/3 + 3*n**2/2 - n. What is the remainder when (10 - (-10 - -24)) + 59/1 is divided by q(5)?
7
Let f(i) = -i**2 - 8*i + 8 - i + i. Calculate the remainder when 147/14*((-6)/(-7) - 0) is divided by f(-8).
1
Suppose -2*g = -k - 6*g + 255, 4*g = -5*k + 1243. Suppose 4*i + k = 5*r, -2*r = -3*i - 26 - 77. What is the remainder when 1174 is divided by r?
46
Let h = -2803 + 2898. Suppose -3*b + 27 = 5*n - 36, 3*n - 25 = -5*b. What is the remainder when h is divided by n?
5
Let v be (20 - 18) + 7/1. Let n = 22 + -12. Suppose -v*m = -n*m + 41. Calculate the remainder when 203 is divided by m.
39
Let z(b) = -7*b - 58. Let g be z(-9). Let u(k) = -k**3 + 6*k**2 + 2*k - 14. Calculate the remainder when u(g) is divided by 10.
1
Let r(z) be the first derivative of -7*z**4/2 + 5*z**3/3 + 2*z**2 + 51. Let b(c) = c**2 - 3*c + 2. Calculate the remainder when r(-1) is divided by b(4).
3
Let f(v) = v**3 - 5*v - 14. Let k be f(0). Let c(r) = -5*r + 142. Calculate the remainder when c(k) is divided by 43.
40
Suppose -11617 = -133*n + 1284. What is the remainder when 2518 is divided by n?
93
Suppose -g + d - 14 = 2*d, -2*g = -d + 28. What is the remainder when 28 is divided by (-12)/g + (-852)/(-84)?
6
Let s = 6107 - 5358. Calculate the remainder when 3759 is divided by s.
14
Suppose -8*d + 5*d = 0, -4*d - 3 = b - 25. Let v(x) = x**2 + 11*x + 2. What is the remainder when b is divided by v(-11)?
0
Let c(l) = -4*l + 4. Let g be c(0). Suppose 8*f = 3*f - 5, g*r - 29 = f. Let i(z) = -z**2 - 10*z + 18. Calculate the remainder when i(-9) is divided by r.
6
Suppose 368 = 342*x - 296*x. Let w(u) = -u - 4. Let p be w(-7). Suppose -133 + 43 = -p*d. What is the remainder when d is divided by x?
6
Let v = 45 + -69. Let f = 18 - v. Suppose 0 = 5*j + 2*q - f, -10 = j + 4*q + q. What is the remainder when 28 is divi