 4. Let k be p(-3). Let t = k - -76. Suppose -w + 0*w = 5*b - 20, -5*b - 10 = 0. Calculate the remainder when t is divided by w.
29
Let u(p) = 30*p + 76. What is the remainder when 303 is divided by u(0)?
75
Let p(w) = w**2 + 4*w + 4. Suppose -2*c = -1 - 5. Suppose -3*o + 4*r + 55 = 0, c*o = 2*o - 4*r + 13. Calculate the remainder when p(5) is divided by o.
15
What is the remainder when (-19)/(-190) + (-419)/(-10) is divided by 18?
6
Let x = 12 - -159. Calculate the remainder when x is divided by 55.
6
Let x(q) be the third derivative of 37*q**6/120 + q**5/60 - q**3/6 - 14*q**2. Calculate the remainder when x(1) is divided by 20.
17
Suppose -3*q = 4*m - 2*q + 171, -3*q = 5*m + 205. Let c = m + 46. What is the remainder when c is divided by 2?
0
Let g(r) = 2*r**2 + 51*r + 297. Calculate the remainder when 54 is divided by g(-7).
16
Let h = -26 - -51. Let u = h + -28. Let d = 2 - u. Calculate the remainder when d is divided by 5.
0
Suppose 5*c + 42 + 13 = 0. Let x(k) = -6*k + 32. Calculate the remainder when x(c) is divided by 4/2 + 20 + 3.
23
Let c(k) = -k**2 + 59*k - 445. What is the remainder when c(44) is divided by 25?
15
Suppose 4*l = 4*q - 268, -q - l = q - 137. Let c(b) = -12*b - 94. What is the remainder when q is divided by c(-9)?
12
Suppose m + 10 = 6*m. Suppose -2*g + 10 = 3*x, 3*g - m*g - 3*x = -4. What is the remainder when 2 is divided by g?
0
Suppose -5*j - 4*a + 32 = 6, -a + 23 = 4*j. Suppose j*y - 888 = -2*y. What is the remainder when y is divided by (-1 + 22)*8/6?
27
Let n(j) = j**2 + 9*j + 17. Let x be n(-5). Calculate the remainder when (-149)/(-3) - (-1 - 2/x) is divided by 26.
24
Let q = -91 + 134. Suppose 4*u - 69 + 1 = 0. Let j = u - 6. Calculate the remainder when q is divided by j.
10
Let h = 62 - 21. Let m(j) = -j**2 + 16*j - 16. Let u be m(10). Suppose -2 = 3*t - u. What is the remainder when h is divided by t?
13
Suppose 5*t = f + 14, -5*f - 2*t + t - 122 = 0. Suppose 5*r - 84 = 2*r. Let h = f + r. Calculate the remainder when 14 is divided by h.
2
Suppose 74*b - 10*b = 1472. What is the remainder when 24 is divided by b?
1
Suppose 2*q + 2 = 6. Let a(g) = 2*g**2 + g. Let i = 12 + 37. Calculate the remainder when i is divided by a(q).
9
Let t = -252 - -289. What is the remainder when 103 is divided by t?
29
Let s = -673 - -900. Calculate the remainder when s is divided by 7.
3
Let y = -4 + 28. Suppose -z - z + 5*h + y = 0, 108 = 4*z + 5*h. What is the remainder when z is divided by 6?
4
Let w = -18 + 21. Suppose 0 = w*j - 10 - 11. Let v = 63 - 45. Calculate the remainder when v is divided by j.
4
Let l(g) = g**2 - 15*g - 44. Let r be l(18). What is the remainder when 11/((-27)/(-45) + 4/r) is divided by 5?
1
Suppose -15 = 3*d, d + 33 = 3*i - 20. What is the remainder when 121 is divided by i?
9
Let n = -207 - -366. Let z = n - 62. Calculate the remainder when z is divided by 25.
22
Let y(h) = h**3 - 3*h**2 - 5*h - 4. Let w be 2 + 3*(-3)/6*-2. Let k = 6 - -77. What is the remainder when k is divided by y(w)?
20
Calculate the remainder when 133 is divided by (23 - 0) + 3*32/24.
25
Let x(j) = -38*j**2 - 3*j - 2. Let c be x(-2). Let h = -77 - c. Let i = -40 + h. What is the remainder when 121 is divided by i?
28
Suppose 67*d - 269 = 66. Let k = 15 + 8. Calculate the remainder when k is divided by d.
3
Let j(b) = -108*b**2 - 2*b - 1. Let a be j(-1). Let n = -60 - a. What is the remainder when n is divided by 16?
15
Let i(u) = -14*u - 20. Let r(x) = 42*x + 61. Let q(a) = -11*i(a) - 4*r(a). What is the remainder when q(-11) is divided by 33?
31
Suppose -4*i + c = -138, -3*i - 11 + 121 = -4*c. Calculate the remainder when 338 is divided by i.
32
Suppose 4*j = 2*p - 0*p + 138, 0 = -4*j + 5*p + 153. Suppose -28 - j = -4*u. Suppose 0 = -5*i + 1 + 39. What is the remainder when u is divided by i?
7
Suppose g - 56 = b - 4*b, 5*b - 65 = 4*g. What is the remainder when b is divided by 2?
1
Suppose 32*t - 421 - 347 = 0. Let v = -2 + 4. Suppose 0 = -5*m - 2*j + 187 + 278, 4*m = v*j + 372. Calculate the remainder when m is divided by t.
21
Suppose -327 = -5*h - 5*k + 373, -5*k = -3*h + 444. Let u = h - 69. Suppose -6*d + 144 = 30. Calculate the remainder when u is divided by d.
17
Suppose 6*m - 2*m - 12 = 0. Suppose 5 = -c, -m*b + 2*c = -0*b - 40. Calculate the remainder when b is divided by 4.
2
Let m = -15 + 28. Suppose -d = -8 - m. Calculate the remainder when d is divided by 10.
1
Let n(p) = -p**3 - 25*p**2 + 19*p - 135. What is the remainder when n(-26) is divided by ((-8)/(-3))/((-2)/(-12))?
15
Suppose k + 3*k + 42 = -2*c, 3*c - k + 42 = 0. Let s = 34 + c. Calculate the remainder when s is divided by 7.
5
Suppose 104*r - 102*r = -3*u + 802, 2*u = 3*r - 1177. Calculate the remainder when r is divided by 96.
11
Let b(s) = -s**2 - 2*s + s - s. Let a be b(-2). Suppose d = -2*x - 3, a = 5*d - x - 4*x - 30. Calculate the remainder when 9 is divided by d.
0
Let t = 531 - 519. What is the remainder when 59 is divided by t?
11
Suppose -c = 4*p - 135, -3*p - 20 = 5*c - 695. Calculate the remainder when c is divided by 17.
16
Let x(q) = -q**3 - 16*q**2 + 13*q - 36. Suppose 39 - 5 = -2*j. What is the remainder when x(j) is divided by (-2)/(-2)*0 - -17?
15
Let a = 11 + -8. Suppose -3*s + a*c = 2*s + 131, -5*c - 115 = 5*s. Let g = 39 + s. What is the remainder when 27 is divided by g?
13
Let l = 556 - 385. Calculate the remainder when l is divided by 29.
26
Let b(f) = f**2 + 3*f - 18. Let d be b(-6). Suppose d*a = 3*a - 9. What is the remainder when 12/(((-18)/(-4))/3) is divided by a?
2
Suppose 4*m = 4*k + 4, 2*m + 2*m = k + 7. Let b be 198/42 - m/(-7). Suppose -4 = h - 0*q - 2*q, -2*h - 13 = -b*q. What is the remainder when 9 is divided by h?
3
Let o(m) = -20*m - 12. Let x be o(-7). Let r = x + -28. Calculate the remainder when r is divided by 51.
49
Suppose -5*f = -0*f - 75. Calculate the remainder when 51 is divided by (52/(-6))/((-5)/f).
25
What is the remainder when (0 + 1004)/(304/76) is divided by 19?
4
Suppose -13 = -3*y + 5*k, 4*y - 52 = -5*k + 12. Suppose 4*q - y = 213. Suppose q = 3*n - 7. What is the remainder when n is divided by 6?
3
Let u(x) = -3*x + 10. Let t(r) = r**2 - 10*r + 21. Let p be t(6). What is the remainder when u(p) is divided by (10/1)/(5 - 3)?
4
Let o be 285/105 + 10/(-14) + 1. Suppose -4*x - 7 = y, -4*y + o*x + 67 = -0*y. Calculate the remainder when 77 is divided by y.
12
Let c be 1/(-5) + 108/(-60). Let m be 6 + -1*(c - -4). What is the remainder when 78 is divided by 18/(2*m/12)?
24
Suppose -14*r + 1372 = -7*r. Calculate the remainder when r is divided by 33.
31
What is the remainder when 55 is divided by (-3854)/(-282) + (-4)/(-3)?
10
Let q(h) = -h**3 + 17*h**2 + 14. Suppose -3*x = -r + 31, -3*r - 81 = -6*r + 3*x. Calculate the remainder when r is divided by q(17).
11
Suppose 0 = -5*o + o + 32. Suppose -75*p + 72*p = -45. Calculate the remainder when p is divided by o.
7
Suppose -4*g + 64 - 12 = 0. Let n = 13 + -8. Suppose 2*k + 8 = 3*s - 9, -n*k = s. Calculate the remainder when g is divided by s.
3
What is the remainder when 289 is divided by 417/(((-819)/(-26))/21)?
11
Let a = 1048 + -902. Calculate the remainder when a is divided by 20.
6
Let l(m) = m**3 + 21*m**2 + 36*m - 14. What is the remainder when 285 is divided by l(-19)?
21
Let z(c) = -c**2 + 26*c - 40. What is the remainder when z(12) is divided by 10?
8
Let p = -74 + 74. Suppose b + 4*z - 95 = 87, p = 3*b + 4*z - 514. What is the remainder when b is divided by 42?
40
Let u be (-28)/(-12) + 2/3. Let s = u + 6. Let z(t) = -73*t + 528. What is the remainder when z(7) is divided by s?
8
Suppose -4*y - 12 = 0, 3*d - 6*y = -y + 477. Suppose -5*o - r + 122 = -237, -3*r + d = 2*o. What is the remainder when o is divided by 36?
35
Let v(p) = -p**2 - p + 10. Let t(m) = -m**3 - 2*m**2 + m + 4. Let f be t(-2). Calculate the remainder when 5 is divided by v(f).
1
Let y(g) be the second derivative of g**5/20 + 7*g**4/6 - 19*g**3/6 - 17*g**2 - 2*g. What is the remainder when 65 is divided by y(-15)?
13
Let b(o) = o**3 + 11*o**2 + 9*o - 5. Calculate the remainder when b(-7) is divided by 26.
24
Let i = -41 + 84. Let j = 130 - 42. Suppose -6*z + 2*z = -j. Calculate the remainder when i is divided by z.
21
Suppose l + 1122 = 3*j + j, 0 = -j + 3*l + 286. S