5. Calculate the remainder when x is divided by 55.
38
Let t(y) be the first derivative of y**4/2 - 5*y**3/3 - 3*y**2/2 - 17*y - 35. Calculate the remainder when t(5) is divided by 16.
13
Suppose -5*x - 4*k + 2549 + 1177 = 0, -3*x - k + 2244 = 0. Calculate the remainder when x is divided by 77.
57
Let s(g) = 14*g + 1118. Calculate the remainder when s(-66) is divided by 22.
18
What is the remainder when -3*(2 + (-2722)/6) + 635 + -634 is divided by 13?
4
Suppose 10*n - 11*n + 2 = 0. Suppose -i = -n*p - 5, -4*i = -8*i - 2*p + 40. Let o(d) = -2*d**2 + 22*d - 24. What is the remainder when 141 is divided by o(i)?
9
Let u = -20 + 36. Suppose -g - 2*k = -470, -5*k + 1412 = 10*g - 7*g. Let a = 520 - g. Calculate the remainder when a is divided by u.
14
Suppose 0 = -9*d - 155 - 7. Let l(b) = 2*b**3 - 8*b**2 + 5*b + 5. What is the remainder when l(5) is divided by (-4)/(-18) + ((-2000)/d)/4?
24
Let z = 48 - 50. Let s be (4*(-15)/(-40))/((-1)/z). What is the remainder when (-2)/s*1*-9 is divided by 5?
1
Suppose 12*g + 5*g - 662 = 443. Calculate the remainder when 774 is divided by g.
59
Let d(t) = 4*t**2 - 4*t + 5. Suppose 12*o + 121 = 817. Calculate the remainder when d(-7) is divided by o.
55
Let u = 1667 + -1631. What is the remainder when 207 is divided by u?
27
Suppose -218*l = -5875820 + 1858298. What is the remainder when l is divided by 26?
21
Suppose -3*d = 2*d - 10. Calculate the remainder when (-43 + 3)*d/(-5) is divided by (1 - -3)*(-21)/(-84) + 2.
1
Suppose 3*k + 526 = 4*s, 19*s - 4*k - 520 = 15*s. What is the remainder when 810 is divided by s?
130
Let o be (111/6)/((-1)/2). Let h = 27 - o. Let r = h + -38. What is the remainder when 101 is divided by r?
23
Let i(g) = -2*g**2 - 33*g + 19. Let f be ((-8)/(-2))/((-1)/(-2)). Suppose -y = 2*h - f, 4*h - 4*y - 23 = h. What is the remainder when h is divided by i(-17)?
1
Let y(v) = v**3 - 19*v**2 - 3*v + 144. Calculate the remainder when y(19) is divided by 18.
15
Suppose 39*p = -30*p + 7*p + 248062. Calculate the remainder when p is divided by 7.
4
Suppose 5*k - 578 = -b, 0 = 4*k + k - 4*b - 563. Let l = 119 - k. What is the remainder when 35 is divided by l?
3
Let m(z) = z**3 + 109*z**2 + 516*z - 385. Suppose -3*y = -63 + 24. What is the remainder when m(-104) is divided by y?
5
Suppose l - 4*l - 29 = 5*x, 2*x = -2*l - 26. Let u = l + 60. Suppose 0 = -47*z + u*z + 430. What is the remainder when z is divided by 29?
28
Suppose -289*t = -238*t - 19737. Calculate the remainder when t is divided by 212.
175
Let i = 725 - -3841. What is the remainder when i is divided by 1518?
12
Let b(r) = -4*r - 14. Let i = -68 + 63. Calculate the remainder when 2/(4*(-1)/(-34)) is divided by b(i).
5
Suppose 3*u + 1782 = 5*w + 3*w, w + u - 220 = 0. What is the remainder when w is divided by 51?
18
Let u = -16655 - -16936. What is the remainder when u is divided by 81?
38
Calculate the remainder when 1889 is divided by (-22 + 282/12)*1*14.
20
Suppose 4*b - 44 = -4*d, 46 = 5*d - 15*b + 17*b. Let x(v) = v**2 - 7 + 7*v + 12 - 10. What is the remainder when x(-11) is divided by d?
7
Let s = -497 + 500. What is the remainder when (-250)/(-3) + 2/s is divided by 44?
40
What is the remainder when 3803 is divided by 9/(5/((-450)/12) + (-44)/(-180))?
77
Let h(l) = l**2 + 210*l - 1244. Calculate the remainder when h(6) is divided by 48.
4
Let o = 116 - 78. What is the remainder when o is divided by (3/7 - 0) + (-45)/(-420)*80?
2
Let i(p) = p**2 - 8*p. Let v be i(8). Suppose v = -3*a - 15, -3*f - 2*f + 4*a = -490. Let o = 46 - 30. What is the remainder when f is divided by o?
14
Suppose 4*l + 3*w = w - 320, -3*l + 5*w - 214 = 0. Let f = 5618 - 5703. Let z = l - f. Calculate the remainder when 33 is divided by z.
5
Let n = 1693 - 220. Suppose -18*w + n - 447 = 0. Calculate the remainder when w is divided by 6.
3
Suppose -4*j = -2*r - 2132, -900 - 1755 = -5*j + 5*r. Calculate the remainder when j is divided by 10.
5
Suppose -2*z + 3*k + 61 + 49 = 0, 2*k + 8 = 0. Let g(m) = m + 19. What is the remainder when z is divided by g(2)?
7
Let i(t) = 7*t**2 + 6*t - 5. Let r be i(2). Let b be 2/(-7)*-155 - 10/r. Suppose 5*h - b = 4*h. What is the remainder when h is divided by 24?
20
Suppose 5*a + 5*x - 20 = 0, 2*a = 7*a + x - 4. Suppose l + a*l = -2*u + 9, -2*u = 5*l + 3. What is the remainder when 93 is divided by u?
3
Let v = -28 + 38. Suppose 25 + 247 = 2*x. Suppose h = 5*m - x, -2*h - 137 = -2*m - 3*m. Calculate the remainder when m is divided by v.
7
Calculate the remainder when 8/52 - (-1010)/(-4)*(-12480)/4225 is divided by 250.
246
Let j = -10 - -13. Let l(w) = -w - 2. Let m(r) = 2*r + 4. Let o(p) = 5*l(p) + 3*m(p). Calculate the remainder when o(5) is divided by j.
1
Let a(k) = -755*k - 1301. Calculate the remainder when a(-8) is divided by 12.
11
Suppose 4 = 4*m - 2*p, 2*p = m + p. Suppose -18*l = -16*l. Suppose 4*f + 3*f - 14 = l. What is the remainder when f is divided by m?
0
Let c be (-114)/399 - (-382)/14. Let z(f) = -f**3 + 26*f**2 + 44*f - 31. What is the remainder when z(c) is divided by 39?
38
Let j(z) = -25*z + 229. Let i be j(9). Suppose 5*v - 4*l - 202 = 0, -i*l + 7*l + 123 = 3*v. Calculate the remainder when v is divided by 9.
2
Let m be 222/(-14) + 13/(-91). Let z be 1/(-2) + (-8)/m. Calculate the remainder when 27 is divided by 18 + z - (-11 + 15).
13
Suppose 970 + 230 = 30*p. Let i(t) = -t**2 - 2*t + 1. Let x be i(-3). Let d = 16 + x. Calculate the remainder when p is divided by d.
12
Let k(p) = p**3 - 3*p**2 - 7*p + 2. Suppose -2*d - u = -46, 3*d + 5*u = 44 + 39. Suppose 7*z = d + 56. Calculate the remainder when k(5) is divided by z.
6
Let h be 0 - -3 - (6 + -2 + -1). Let j be h - (-10)/4*8/10. Suppose -128 = -2*a + j*z, 1 + 4 = z. Calculate the remainder when a is divided by 19.
12
Suppose -2*t - 35 = -3*k + 12, -16 = -k + t. What is the remainder when 493 is divided by k?
13
Suppose -164 = -49*s + 48*s. Suppose 100 = 11*t - s. Calculate the remainder when 165 is divided by t.
21
Let t(q) = q**2 - 4*q - 16. Let w be t(20). Let a = w - 291. What is the remainder when 46 is divided by a?
7
Let j be 251 + -1 + 8 + 2 + 0. Suppose -5*v = 3*y - 461, 343 = 4*y - 5*v - j. Calculate the remainder when y is divided by 22.
20
Let s(n) = 560*n - 76. What is the remainder when s(2) is divided by 282?
198
Suppose -5*n - 17 = -297. Suppose 10*t = 3*t + n. Suppose 2*h + 32 = 2*b - 0*h, -5*b - 4*h + 71 = 0. Calculate the remainder when b is divided by t.
7
Let h = 368594 + -368510. Let i(r) = r**3 + 6*r**2 + 3*r + 4. Calculate the remainder when h is divided by i(-4).
12
Let k(d) = -19 - 30 - 70 + 7*d - 66. What is the remainder when 21 is divided by k(27)?
1
Suppose 3646 + 5292 + 11417 = 69*m. What is the remainder when 408 is divided by m?
113
Let q(f) = 6*f**2 - 649*f - 1. What is the remainder when q(112) is divided by 12?
7
Let c = 512 + -520. Calculate the remainder when 68 is divided by (-184)/c + 9 + -4.
12
Suppose -3*b - 24 = -3*d, 0 = 2*b + 2*d - 7 + 43. Let n(u) = u**2 + 11*u - 9. Let z = 148 + -141. Calculate the remainder when n(b) is divided by z.
3
Suppose 4*n - r = 1909, -4*r = 2*n - 0*r - 950. What is the remainder when n is divided by (-1 - -20) + 1/(-2)*(-624 - -622)?
17
Let a(v) = 48*v - 13. Let r be a(3). Let l = -93 + r. Calculate the remainder when 71 is divided by l.
33
Let p(m) = 7*m**2 - 34*m - 350. What is the remainder when p(-8) is divided by 82?
42
Suppose -48 = -37*u + 25*u. Suppose -3*a = i - 18, -5*i = u*a - 54 + 19. What is the remainder when 51 is divided by i?
0
Suppose -6*s = b - 5951, 5*s - 6*b = -2*b + 4964. Calculate the remainder when s is divided by 332.
328
Calculate the remainder when 18/(-3) + (203 - -43) is divided by 79.
3
Suppose 33*x - 21*x = 12. Calculate the remainder when 366*x/(-2)*2/(-6) is divided by 9.
7
Let h = 742 + -714. Suppose -2*v + 26 - h = 4*s, s = 2*v - 18. Suppose -3*u - 2*t = -4*t - 76, -3*t + 81 = 3*u. Calculate the remainder when u is divided by v.
5
Calculate the remainder when (-5)/(-30) + 15970/12 + 23 + -29 is divided by 95.
90
Let c = 160 - 86. Suppose -630 - c = -16*b. Calculate the remainder when b is divided by 11.
0
Let x(h) = 2*h**3 - 22*h**2 - 117*h - 7. What is the remainder when 222 is divided by x(15)?
32
Let n = -100 - -124. Let m = 15