18*a**2 - 32*a + 30. Calculate the remainder when w(-16) is divided by 7.
2
Let i(w) be the first derivative of -w**4/4 + w**3/3 - 5. What is the remainder when i(-4) is divided by 27?
26
Let s be 4 + (-6 + 6)*(-1)/(-1). Let c = 12 + s. What is the remainder when 174 is divided by c?
14
Let y = -38 - -42. Suppose y*d - 204 = -0*d - 2*m, 3*d - 146 = -5*m. Calculate the remainder when d is divided by 11.
8
Suppose 5*x + 5*n = 100, 2*x - 415*n = -418*n + 38. Calculate the remainder when x is divided by (-30)/4*(-16)/10.
10
Let w = 23 - 8. Let n(k) = 3*k - 1. Let o be n(2). Suppose o*s = -4*s + 927. Calculate the remainder when s is divided by w.
13
Let v(a) = 6*a**3 - a**2 - a. Let x be v(1). Calculate the remainder when 61 is divided by x/(-18) - (-382)/18.
19
Suppose 9*q - 7*q = -12. Calculate the remainder when 28 is divided by (1 - 2)*(3 - q)/(-3).
1
Suppose v + 228 - 117 = 118. Let c(l) = -l**3 + 7*l**2 - 4*l - 8. Let u be c(6). Suppose 0*y + 48 = u*y. What is the remainder when y is divided by v?
5
Let h(y) = -5*y + 129. Calculate the remainder when 305 is divided by h(17).
41
Let b be 6/33 + (-516)/(-66). Suppose 0 = -3*y + 4*y - b. What is the remainder when 23 is divided by y?
7
Let m be 30/(-9) - 2/(-6). Let x(j) = -9*j - 6. Let k be x(m). Let f = 80 + k. Calculate the remainder when f is divided by 26.
23
Let l(t) = 3*t**2 + 30*t + 63. Calculate the remainder when 718 is divided by l(-9).
34
Suppose 4*v + 11 = -21. Let o = -21 - -75. What is the remainder when o is divided by 31/3 - v/12?
10
Let r(b) = 98*b + 30. What is the remainder when r(3) is divided by 66?
60
Suppose 10*v = -151 + 281. What is the remainder when 82 is divided by v?
4
Let n(x) = -x**3 - 5*x**2 + x - 1. Let b be n(-3). Suppose 5*d + 72 - 287 = 0. Calculate the remainder when d is divided by 3*-1 - (b + 4).
13
Let c be (-15)/(-9) - 38/3. Let j = -5 - c. Calculate the remainder when 10 is divided by j.
4
Let w(n) = n**2 + 19*n + 37. Let j be w(-19). Let o = j + -4. Calculate the remainder when o is divided by 17.
16
Let a(y) = -y**3 + 10*y**2 - 20*y + 13. Calculate the remainder when 59 is divided by a(7).
19
Suppose 22*m - 1680 = 7*m. What is the remainder when m is divided by 59?
53
Let d = 346 + -57. What is the remainder when d is divided by 42?
37
Let w = 398 + -245. Suppose 573 = 156*b - w*b. Calculate the remainder when b is divided by 39.
35
Suppose -4*w + 2*l + 74 = 0, 4*w + 8 = -4*l + 88. Suppose -5*t = -4*t - 72. What is the remainder when t is divided by w?
15
Let z = -112 - -119. What is the remainder when 154 is divided by z?
0
Suppose -2*r = -181 - 227. What is the remainder when r is divided by 71?
62
What is the remainder when 31 is divided by ((-35)/15)/(-2*(-3)/(-18))?
3
Calculate the remainder when (-144)/7*490/(-105) is divided by 5.
1
Let w(i) = -i**3 + 4*i**2 + 7*i - 8. Let f be w(5). Suppose -f*c + 47 = 3. What is the remainder when 40 is divided by c?
18
Suppose 0 = -c + 9*c - 248. Calculate the remainder when c is divided by 7.
3
Suppose -4 = -a - h, -15 = 2*h + 3*h. What is the remainder when 21 is divided by a?
0
Suppose 37*f - 10146 = -f. What is the remainder when f is divided by 33?
3
Suppose 0*n = -n - 2*o + 13, 5*o = 5*n - 5. Suppose -v + n*i - 10*i + 99 = 0, v = i + 105. What is the remainder when v is divided by 18?
14
Let w = -2522 + 2535. Calculate the remainder when 476 is divided by w.
8
Let f(o) = -3*o - 27. Let s be f(-11). Suppose 0 = 4*c - 2*c - s. Suppose -v = -2*v + c. Calculate the remainder when 10 is divided by v.
1
Let s(l) = -l**3 - 24*l**2 + 21*l - 18. Let q be s(-23). What is the remainder when q/(-40) + (-2)/(-8) is divided by 15?
11
Let i be (-6937)/49 - (-8)/14. Let z = i - -263. Suppose -z = -c - c. Calculate the remainder when c is divided by 21.
19
Let n(c) = -2*c**2 + 30*c - 93. Suppose -2*k + 16 = q, 20 = -q + 3*q - 2*k. Suppose 4*z = 4 + q. What is the remainder when n(10) is divided by z?
3
Suppose -4*y = -o + 352 + 32, 3*o = 5*y + 1138. Let f = -778 + o. What is the remainder when ((-2)/(-4))/((-3)/f) is divided by 23?
21
Let g(d) = d**3 - 4*d**2 + 2*d + 16. What is the remainder when 113 is divided by g(4)?
17
Suppose -14 = -5*k + 1, -3*x - 4*k = -441. What is the remainder when x is divided by 41?
20
Let m = 99 + -48. Suppose 32 = 55*q - m*q. What is the remainder when 20 is divided by q?
4
Suppose 2*o - 162 = -5*v, 4*v - 63 - 67 = -2*o. What is the remainder when v is divided by 20?
12
Suppose 4*q - 24 = -4*i, -i + 5*q - 28 = -5*i. Suppose 0 = -w - 4*o + 1, -w + i*o = -2*o - 41. What is the remainder when 38 is divided by w?
17
Let j = -90 + 186. Calculate the remainder when j is divided by 36.
24
Let u(x) = x**3 + 8*x**2 - 47*x + 19. What is the remainder when 130 is divided by u(-12)?
4
Suppose -5*b - 9 = -n, 5*b + 66 = 29*n - 25*n. Let m = -15 - -29. Let d = -7 + m. Calculate the remainder when n is divided by d.
5
Let c(k) = -14*k - 2. Let h be c(-4). Suppose 3*m = 5*m - h. What is the remainder when m is divided by ((-161)/(-21) - 7)*21?
13
Let u(s) = -5*s**3 - 1. Let r be u(-1). What is the remainder when ((-46)/(-4) + 0)*r is divided by ((-4)/(-5) + 4)/(1/5)?
22
Let l(u) = 138*u - 94. What is the remainder when l(2) is divided by 9?
2
Let m be 70/16 - (-15)/(-40). What is the remainder when 24 - (3 - m)*2 is divided by 16?
10
Let h = -98 - -126. What is the remainder when h is divided by 16?
12
Let z be (-1027)/(-4) + (9 - 6)/12. Let v = 10 + -1. Calculate the remainder when (-1)/(-6)*z - 15/(-90) is divided by v.
7
Let n = -88 + 444. Suppose -3*b + n + 34 = y, 5*b + 3*y - 650 = 0. Suppose -2*d + 5*d = o + b, o = -4*d + 178. What is the remainder when d is divided by 23?
21
Let w(i) be the third derivative of -i**5/60 - 5*i**4/24 - i**3 + 9*i**2. Let d be w(-4). Calculate the remainder when 67/(2 - (-2)/d) is divided by 23.
21
Let v(y) = y**2 + 43*y - 243. What is the remainder when 148 is divided by v(-49)?
46
Let c(g) = 13*g - 214. Calculate the remainder when 457 is divided by c(17).
2
Let f(b) = 4*b - 12. Let i be f(6). Let q be -1 - (-2 - i/(-4)). What is the remainder when 8/(-6)*57/q is divided by 13?
12
Suppose 0 = 4*g + 6*g - 130. What is the remainder when 23 is divided by g?
10
Let x = 158 - -143. Suppose -3*z + 5*s = -x, -2*z + 201 = 4*s - 7*s. Calculate the remainder when z is divided by 35.
32
Let n = -23 + 43. Let r = -60 - -4. Let w = r - -154. Calculate the remainder when w is divided by n.
18
Let l(f) = 4*f**3 + 31*f**2 + 5*f - 34. What is the remainder when l(-7) is divided by 27?
24
Let r = -21 - -23. Let c be 2/15 - 18886/(-105). Calculate the remainder when (-24)/42 - c/(-21) is divided by r.
0
Let z(j) = -3*j**3 + j**2 - 2*j - 2. Let k be z(-2). Suppose k + 62 = -2*h. Calculate the remainder when (h/(-6))/(2/6) is divided by 8.
7
Let p(y) = 9*y + 16. Calculate the remainder when p(26) is divided by 23.
20
Suppose -u + 290 = -5*k, 0 = 4*u - 3*k + 2*k - 1141. What is the remainder when u is divided by 24?
21
Let k(c) be the second derivative of -c**3/6 - c**2/2 - 262*c. Let z = 3 + -11. Calculate the remainder when 12 is divided by k(z).
5
What is the remainder when 7 is divided by 9/(1 - (-1 + -1)/1)?
1
Suppose 5*f - 150 = -5*j, -17 = -2*j + 2*f + 27. Let w = 71 + -7. What is the remainder when w is divided by j?
12
Let t(z) = -2*z**2 + z. Let g be t(-1). Let p be (124/8)/(g/6). Let a = p + 58. What is the remainder when a is divided by 7?
6
Suppose -5*i - 25 = 0, -3*r + 3 = -2*r + 3*i. Suppose -r*j = -13*j - 85. Let q = 32 - 22. Calculate the remainder when j is divided by q.
7
Calculate the remainder when 125 is divided by -6 + (-190)/(-32) - (-2457)/144.
6
Suppose z + 4*z = -2*w + 119, z = -w + 25. Suppose 0 = -5*t + 18 + 22. Calculate the remainder when z is divided by t.
7
Suppose w = -4*w + 50. Let q(v) = 3*v + 9. Let c be q(4). Let p = c + 6. Calculate the remainder when p is divided by w.
7
Suppose -34*u + 39*u - 110 = -5*o, 0 = 5*u + o - 106. Suppose -2*x = -4*l - 154, -2*x - 4*l + 308 = 2*x. What is the remainder when x is divided by u?
14
Suppose 4*t + 796 = 2*p, -2*p - 5*t + 695 = -92. Calculate the remainder when p is divided by 7.
4
Let s = 205 - -23. Calculate the remainder when s is divided by 33.
30
Let i(h) = 3*h**2 + 11*h - 24. Let s be i(4). Suppose