 be the first derivative of -d**4/4 + 5*d**3/3 + 7*d**2/2 - 2*d + 23. Let z(r) = -r**2 + 12. Calculate the remainder when z(0) is divided by o(6).
0
Suppose 7*z - 4*z - 3 = 0. Let x(l) = 4*l**2 + l - 1. Let q be x(z). Suppose r - q = 24. Calculate the remainder when r is divided by 8.
4
Let t = -1229 - -2824. Calculate the remainder when t is divided by 94.
91
Let c = -404 + 427. What is the remainder when 30 is divided by c?
7
Let p be 84/(-15)*10/(-2). Suppose -120 = -2*k + p. What is the remainder when k is divided by 19?
17
Let u = 47 + -5. Suppose -u = -4*x + 2. Calculate the remainder when 40 is divided by x.
7
Suppose -42 = -2*p - 4*p. Suppose -4*a - p*g + 2*g = -108, 4*a = g + 132. What is the remainder when a is divided by 21?
11
Let o(y) = -8*y - 6. Suppose -2*j = -0*j - 4. Let d be 2/(1*j/(-11)). What is the remainder when o(d) is divided by 21?
19
Suppose -32 = -3*q - 2*h, 0 = -q - 5*h + 21 - 6. Let m(z) = -z**2 + 31*z - 116. Let l be m(27). Let f = l + q. Calculate the remainder when f is divided by 2.
0
Suppose -5*t + 3*t = -2*k + 44, 2*t = k - 26. Let p = -87 - -123. Let j = p - k. What is the remainder when j is divided by 7?
4
Let g(c) = -c**2 + 3*c - 2. Let b be g(1). Let p = b - -15. Let i = p - 11. What is the remainder when 6 is divided by i?
2
Let q(k) = -3*k + 1. Suppose -5 = 3*l - j, -4*l - 2*j = 1 - 11. Calculate the remainder when 0 - -1 - (-5 + 3) is divided by q(l).
0
Suppose 350*q - 174 = 347*q. What is the remainder when q is divided by 26?
6
Suppose -3*x + 23 = -46. Suppose -p + x = -2*o, -5*p = -o - 27 - 52. What is the remainder when 86 is divided by p?
11
Suppose -7*r + 1190 = -1862. What is the remainder when r is divided by 19?
18
Let n = -22 + 57. Let w = 33 + -33. Let i(r) = -r**3 - r + 18. What is the remainder when n is divided by i(w)?
17
Let a(r) = r**2 + 7*r + 14. Let q be a(-5). Calculate the remainder when 72 is divided by (-1)/(61/(-15) + q).
12
Suppose 92 = 7*j - 3*j. Suppose s + 5*h - j = 28, 0 = -4*s - 5*h + 129. Calculate the remainder when s is divided by 7.
5
Let s be 0*(0 + 4/(-12)). Suppose 2*q - 6*q - 5*w + 63 = s, -w = -4*q + 45. Calculate the remainder when q is divided by 5.
2
Suppose 0 = 4*m - 16, -m = 5*y - 3*m - 387. Let w(q) = -13*q + 2. Let k be w(-6). Suppose -2*v = 2*v - k. What is the remainder when y is divided by v?
19
Suppose 0 = 4*q + 2*m - 10, m - 9 + 4 = 3*q. Suppose -3*i = -9, q = 2*a + 2*i - 1 - 91. What is the remainder when a is divided by 9?
7
Let m be -74 - (-7)/((-35)/(-10)). Let f = m - -79. Calculate the remainder when 11 is divided by f.
4
Suppose 53*n + 728 = 60*n. Calculate the remainder when n is divided by 23.
12
Let z(f) = -f + 2. Let r be z(1). Let o(s) be the first derivative of 3*s**4/4 + s**2/2 - 83. Calculate the remainder when 7 is divided by o(r).
3
What is the remainder when 128 is divided by 88/22 + 2*13?
8
Let m(a) = -a**3 + a + 30. Let v be (-3)/9 + (-13)/(-3). Suppose -9*d + 40 = -v*d. Calculate the remainder when m(0) is divided by d.
6
Suppose -17 = 5*o + 3. Let b(r) = -r**3 - 3*r**2 - 1. Suppose -24*s = -23*s - 8. Calculate the remainder when b(o) is divided by s.
7
Suppose -5*p + 22 = 7. What is the remainder when (-3)/(-9) + 125/p is divided by 7*(-624)/(-280) + (-3)/5?
12
Let t(l) = 2*l**2 - 10*l + 2. Let n be t(5). Let d(i) = 3*i**3 - 2*i**2 - 2*i + 2. Calculate the remainder when ((-67)/(-4))/(1/4) is divided by d(n).
11
Let z = -2 + 3. Suppose 4*k - z = 7. Suppose k*q = q + 3*v + 18, -v + 10 = q. Calculate the remainder when 35 is divided by q.
11
Let h(s) = 5*s + 185. What is the remainder when h(-25) is divided by 16?
12
Suppose 3*i - 262 = 4*o - 22, 3*o + 75 = i. Calculate the remainder when i is divided by 17.
16
Suppose 6 - 30 = -3*g. Suppose 5*h + 12 = -8. Calculate the remainder when (-48)/(-60)*(-110)/h is divided by g.
6
Let t(u) = 13*u - 2. Let c(a) = -27*a + 5. Let p(n) = 4*c(n) + 9*t(n). What is the remainder when 53 is divided by p(1)?
9
Let t(w) = 24*w - 18. Let u be t(4). Calculate the remainder when 153 is divided by 1/(((-4)/u)/(-2)).
36
Suppose 0 = -117*z + 87*z + 1380. Calculate the remainder when z is divided by (8 - 0) + -3 + 2.
4
Suppose 0 = 8*g + 12 - 196. Calculate the remainder when 99 is divided by g.
7
Let x(h) = h**2 - 6*h - 3. What is the remainder when x(-5) is divided by ((-288)/252)/((-2)/35)?
12
Let q(y) = -4*y - 1. Let a be q(-1). Suppose 0 = -6*u + a*u - 30. Calculate the remainder when (u/(-4))/(1/22) is divided by 19.
17
Suppose 445 = -0*l + 5*l. Calculate the remainder when l is divided by 492/16 + -1 - (-1)/4.
29
Let i = -28 + 35. Suppose s = 4*f - 45, 3*s - 5*s = 2. Calculate the remainder when f is divided by i.
4
Suppose 80 + 64 = 9*p. Suppose 4*b - 4*x - 12 = 0, x - 5*x - 7 = -3*b. Suppose b*h = 126 + 189. What is the remainder when h is divided by p?
15
Suppose 0 = -6*v - 821 + 3539. Suppose -4*o + 5*j = -v, -4*o = -6*o + 4*j + 228. What is the remainder when o is divided by 23?
20
Let q(v) = 72*v**2 - 19*v + 15. Calculate the remainder when q(2) is divided by 13.
5
Let f = 148 - 106. Suppose 0 = s + s + 4. Let a = 9 - s. What is the remainder when f is divided by a?
9
Suppose 3*p - 6*p = 5*o + 41, o + 17 = -5*p. Calculate the remainder when 3128/28 - 2/o is divided by 29.
25
Let i(q) = q**3 - 4*q**2 + 6*q - 6. Let k be i(3). Suppose -t + 3*r + 45 = 0, 0 = -k*t - r + 77 + 78. What is the remainder when t is divided by 27?
24
Let b(l) = -l**2 - 11*l - 5. Let n(w) = -w + 2. Let h be n(0). Suppose -7 = h*m - m. What is the remainder when 66 is divided by b(m)?
20
Suppose -97*y + 337 = -94*y + n, 3*y - 4*n - 317 = 0. Calculate the remainder when 149 is divided by y.
38
Suppose 0 = -7*y + 7 + 21. Suppose 8*v - 548 = y*v. Calculate the remainder when v is divided by 28.
25
Let w = 439 - 300. Calculate the remainder when w is divided by 13.
9
Let m = 99 + -81. Let j = m - -76. What is the remainder when j is divided by 12?
10
Let m = -218 - -233. What is the remainder when 522 is divided by m?
12
Let n(q) = 5*q**3 + q**2 - 1. Let h be n(1). Suppose 0 = h*o + 2 - 27. What is the remainder when 1*16 + 98/(-14) is divided by o?
4
Let d = 50 - 26. Suppose 7*w - 30 = 5. Suppose w*q - 13 = 4*q. What is the remainder when d is divided by q?
11
Let y(d) = d**3 - d**2 + 32*d - 104. Calculate the remainder when 354 is divided by y(4).
66
Suppose 4*x - 56 = -2*b, -4*b = -b - 2*x - 76. What is the remainder when 519 is divided by b?
25
Let f be (4/10)/((-14)/(-70)). Calculate the remainder when (f/(-4))/((-7)/1162) is divided by 21.
20
Suppose -5*f + 27 = 147. Calculate the remainder when f/10*(-600)/9 is divided by 23.
22
Suppose 3*u + 58 = 5*f, f = 14*u - 12*u + 6. Calculate the remainder when 27 is divided by f.
13
Let c = 71 + -4. Let a(o) = -o**3 + o**2 - 2*o + 14. Let k = 11 + -11. What is the remainder when c is divided by a(k)?
11
Let w(x) = x**3 - 6*x**2 + 4*x - 7. Let o be w(5). Let a = -10 - o. What is the remainder when 7 is divided by a?
1
What is the remainder when 981/2 - (-9)/18 is divided by 29?
27
Suppose 5*o = -5*g + 175, -5*o = -3*g + 13 + 52. Suppose -2*r + g = -r. What is the remainder when 119 is divided by r?
29
Suppose 25*d + 183 = 2358. Calculate the remainder when d is divided by 18.
15
Suppose 2*l = 3*f - 18 + 375, 3*l - 9 = 0. Let z = f + 158. What is the remainder when z is divided by 17?
7
Let n be 98/(-12) + (-6)/(-36). Let k = 14 + n. Suppose 3*j = 4*j - k. What is the remainder when 19 is divided by j?
1
Let u = -278 + 334. What is the remainder when u is divided by 29?
27
Let m(y) = -2*y**3 - 4*y**2 - 3*y - 6. Let x = 11 + -15. What is the remainder when m(x) is divided by 36?
34
Let j be 226/6 + 21/63. Suppose -3*v + 4*g - 2*g + j = 0, 5*v - 4*g - 66 = 0. What is the remainder when v is divided by 1 + 4/(12/9)?
2
Suppose 7*a + 7*a = 588. What is the remainder when 123 is divided by a?
39
Suppose 12*p - 356 - 100 = 0. What is the remainder when 93 is divided by p?
17
Calculate the remainder when 116 is divided by ((-30)/(-33))/5 - (-1347)/33.
34
Suppose 4*c + c - 65 = -5*x, 0 = c + 4*x - 19. Calculate the remainder when 39 is divided by c.
6
Let u = -544 - -685. What is the remainder when u is divided by 13?
11
Let s = 44 + -40. Suppose -4*b - s*w = w - 145, -2*w = -3*b + 1