he remainder when (k/10)/(-1)*4 is divided by (-6 + 2)/((-6)/30)?
18
Let c(k) = -k**3 + 7*k**2 + 32*k - 27. Let h be c(11). Let m = h - -174. What is the remainder when 55 is divided by m?
10
Suppose 4*u - 5*u + 32 = 0. Suppose -5*a = 5*w - 140, 3*a + 4*w = 6*a - 119. Let t = -26 + a. What is the remainder when u is divided by t?
4
Suppose -5*l + 25*w - 30*w = -300, -4*w = l - 69. What is the remainder when 199 is divided by l?
28
Suppose 4*u + 45 = 177. Calculate the remainder when u is divided by (138/92)/(3*2/28).
5
Suppose 2*n + 3*p = 32, -3*p = 62*n - 59*n - 51. Calculate the remainder when 77 is divided by n.
1
Let k be 28*(52/(-16) + 1). What is the remainder when (270/k)/((-2)/42) is divided by 23?
21
Let s = -54 + 95. What is the remainder when s/(-2)*(1 + -5) is divided by 22?
16
Let m(i) = -i**3 - 4*i**2 - 9*i - 5. Let w be m(-4). Suppose -w = -7*l - 10. Calculate the remainder when 7 is divided by l.
1
Let y = -111 - -161. Calculate the remainder when 97 is divided by y.
47
Let q = 148 - 108. What is the remainder when 315 is divided by q?
35
Let c = 231 + -92. Let w = 1304 - 1257. What is the remainder when c is divided by w?
45
Let l = -153 + 237. Suppose 3*u = -0*u + l. What is the remainder when 108 is divided by u?
24
Let z = -3 + 7. Suppose -h - 3*q - 9 = -27, 4*h - z*q = 24. Let i = -7 + h. Calculate the remainder when 5 is divided by i.
1
Suppose 52*c - 57*c - 40 = 0. Let i(z) = z**3 + 5*z**2 - 25*z + 8. What is the remainder when 206 is divided by i(c)?
14
Let k(p) = p**3 - 11*p**2 - 13*p + 15. Suppose 4*l + 7*a = 2*a + 57, 4*a = 4. Let s be k(l). Let t = -125 + s. What is the remainder when t is divided by 21?
17
Let b = -6 - -189. Suppose 7*k - b = -1. Calculate the remainder when 50 is divided by k.
24
Suppose 2*g - 3 = 5*u - 7, 4*u = -4*g + 20. What is the remainder when 54 is divided by u*15 + -3 + 8/4?
25
Suppose -89*c = -2*p - 85*c + 106, -3*p + 5*c + 156 = 0. Calculate the remainder when 165 is divided by p.
24
Suppose -4*b + 20 = b. Suppose -2*h - 6*z + b*z = -118, -z = -5. What is the remainder when h is divided by 2/3 + (-320)/(-24)?
12
Suppose -5*f + 184 = -301. Calculate the remainder when f is divided by 25.
22
Let z = -314 + 131. What is the remainder when 69 is divided by (-36)/60 + z/(-5)?
33
Let u be 6*-3*(-1)/6. Let f = -124 - -181. Calculate the remainder when f is divided by (-108)/(-8) - u/(-2).
12
Let y(f) = -f**3 - 18*f**2 - 35*f - 23. What is the remainder when y(-16) is divided by 7?
4
Suppose 0 = -3*b - 9 + 162. Suppose 0 = 2*d + 20*d - 572. What is the remainder when b is divided by d?
25
Suppose -5*v - 162 = -14*v. Calculate the remainder when v is divided by 3.
0
Let o(r) = -16*r**2 - 4*r + 2. Let k be o(9). Let n be k/(-56) + (-1)/(-4). Suppose -3 = u - n. What is the remainder when u is divided by 11?
10
Let s be 8/(-28) - 58/(-7). Calculate the remainder when 18 is divided by (3/2)/(3/s).
2
Suppose 0 = 7*o - 6*o + 70. Let s = -41 - o. Calculate the remainder when s is divided by (-2)/(-6) + 22/6.
1
Let w(v) = -v + 46. Suppose 47 = 4*b - 33. Suppose 4*f - b*f = -160. Calculate the remainder when w(0) is divided by f.
6
Suppose 34*y = 33*y + 5. Calculate the remainder when 5 is divided by y.
0
Suppose -2*c - 4 = 2*c. Let a be (-6 - -5) + 2 + c. Suppose a = f - 4*f + 66. What is the remainder when 85 is divided by f?
19
Let l be 12/(-14)*(1 - 78). Suppose 5*m - l - 34 = 0. What is the remainder when 57 is divided by m?
17
Suppose -2*r = -0*r + 4, 2*r - 184 = -o. Suppose 22*g - 399 = g. Calculate the remainder when o is divided by g.
17
Suppose 9*g - 85 = 4*g. Calculate the remainder when g is divided by 11.
6
Suppose -1001*k = -999*k - 106. What is the remainder when 306 is divided by k?
41
Let u = 19 - 25. What is the remainder when (-82)/u - 8/(-24) is divided by 5?
4
Let k(l) = -6*l - 1. Let j be k(-3). Let i be -7 + (15/5 - -6). Suppose 5 - j = 3*x, 0 = i*m - x - 66. Calculate the remainder when m is divided by 8.
7
Let k = -41 + 54. Let q = k - -29. What is the remainder when q is divided by 11?
9
Suppose -4*f - 3*o = o - 20, -2*o = f - 4. Suppose f*s - 2*s - 124 = 0. Calculate the remainder when s is divided by 11.
9
Let b(p) = 6*p. What is the remainder when 30/(-255) - 3574/(-34) is divided by b(3)?
15
Let r(x) = -2*x + 118. What is the remainder when r(16) is divided by 13?
8
Let m be 3/(-1)*-1*(-6)/(-6). Suppose -3*s = 3*l - 6*l + 30, -3*l - m*s + 54 = 0. Calculate the remainder when 66 is divided by l.
10
Let x(s) = 89*s - 2. What is the remainder when x(1) is divided by 19 + (-3 - 3) + (-3)/1?
7
Suppose 0*u - 66 = -3*u. Calculate the remainder when 104 is divided by u.
16
Let g = 19 + -14. Suppose 14 = 3*b - g*b. What is the remainder when b/2*(-45 + 7) is divided by 27?
25
Let j = 18 - 8. What is the remainder when (1 + 19 - 4) + -1 + 4 is divided by j?
9
Let v = 429 + -313. Calculate the remainder when v is divided by 14.
4
Let u(c) = c**2 + 5*c + 2. Let d be u(-5). Suppose -r + 195 = d*r. What is the remainder when r is divided by 17?
14
Let o be -54*1/((-4)/(80/4)). Suppose -6*x - o + 942 = 0. Calculate the remainder when x is divided by 29.
25
Let z(t) = -2*t + 4. Let c be z(-4). Suppose 0*a = 2*a - c. Let b = a + 31. What is the remainder when b is divided by 19?
18
Suppose 5*u - 6 = -1, -5*z - 2*u = -262. Calculate the remainder when 155 is divided by z.
51
Suppose 6*q + 292 = 10*q. Calculate the remainder when 49 is divided by (-6)/(-9) - q/(-3).
24
Let z be 8 + (-2)/(-11) + 72/(-33). Calculate the remainder when 4 - (-1 + (-66)/z) is divided by 10.
6
Let z be 6*(1 + (0 - 2)). Let q(u) = -u**3 - 6*u**2 + 1. Calculate the remainder when 1 is divided by q(z).
0
Let c(q) = 10*q**2 - q + 5. Let o = 84 - 2. Calculate the remainder when o is divided by c(2).
39
Let w = 2 - -2. Let g be 5 - (5/5 - -24). Calculate the remainder when 3 is divided by ((-16)/g)/(w/10).
1
Suppose 0 = q + 130 - 194. Calculate the remainder when 186 is divided by q.
58
Let v(a) be the third derivative of -5*a**6/24 + a**5/30 + a**4/12 + a**3/6 + 3*a**2. What is the remainder when v(-1) is divided by (3/(-2))/((-3)/18)?
8
Suppose -11*f + 197 + 848 = 0. What is the remainder when f is divided by 16?
15
Let v(f) = f**3 - f**2 + 2*f + 3. Suppose -g = -1 - 2. Let k be v(g). What is the remainder when 50 is divided by ((-18)/k)/(4/(-78))?
11
Let j(d) = 7*d + 25. Calculate the remainder when 191 is divided by j(1).
31
Let q = -40 - -92. What is the remainder when 464 is divided by q?
48
Suppose -4*h + y = -779, 4*h - 18*y - 769 = -15*y. Calculate the remainder when h is divided by 11.
9
Suppose 60 = 2*c + 4*c. Let u = 269 + -238. What is the remainder when u is divided by c?
1
Suppose d - n - 3 - 3 = 0, -4*n = 4. Let z be 7/(105/(-18))*d. Calculate the remainder when 31 is divided by z/21 + 363/21.
14
Let i(z) = -11*z**2 + 1 + z**3 - 15 - 1 + 12*z. Let y be i(10). Suppose -y - 2 = -2*l + k, -3*l = -2*k - 12. What is the remainder when 7 is divided by l?
1
Suppose -5*u = 5*b - 60, -4*u - 3 = -b - 11. Let m = b + -18. Let d = 30 + m. Calculate the remainder when 39 is divided by d.
19
Suppose u = 17 - 10. Calculate the remainder when 107 is divided by (-244)/(-20) + (-1)/(-2 + u).
11
Let z(p) = 14*p + 2. Suppose 3*s = v + 32, -7*s + 3*s - 3*v = -21. What is the remainder when z(s) is divided by 44?
40
Suppose -177 = -u + 4*b, u + 13 - 194 = 2*b. Calculate the remainder when u is divided by 94.
91
Suppose b + 45 + 0 = 5*g, 9 = g + 5*b. Suppose -4*z = -7*z. Suppose z*c - 3*c = -75. Calculate the remainder when c is divided by g.
7
Suppose -4*o - 5*l + 774 = 0, -5*o + 2*o + l + 571 = 0. What is the remainder when o is divided by 15?
11
What is the remainder when (-1 - 0)*-38*(6 + -5) is divided by 20?
18
Suppose 4*u - 5*u + 5*c + 14 = 0, 137 = 3*u + 4*c. What is the remainder when u is divided by 1?
0
Let n = 508 - -459. Calculate the remainder when n is divided by 81.
76
Suppose 8*f + 80 = 456. Calculate the remainder when 87 is divided by f.
40
Let w = -19 - -39. Calculate the remainder when w is divided by (-1)/(-3) - (-3*2 - (-86)/258).
2
Let f = -20 + 23. Let x(v) = -9*v**2 - 5*v + 3. Let h(u) = -5*u**2 - 2*u + 1. Let n(s) = 11*h(s) - 6*x(s). Calculate the remainder when n(5) is divided by f.
2
Suppose -3*