t f(a) = a**3 - 2*a - 3. What is the remainder when f(l) is divided by 10?
8
Suppose m + 3*m - k = 43, -2*m = 3*k - 39. Calculate the remainder when 94 is divided by m.
10
Let s(k) = k - 3. Let c be s(-5). Let h be 8/20*(-3 - c). Suppose 3*p - 109 = -5*d, 0 = -3*p - d + h*d + 97. Calculate the remainder when 130 is divided by p.
31
Suppose 5 = -5*t + 5*o, 13 = -t + 3*t + o. Suppose t*k - 1 = -5*z, z - 5 = -4*z. What is the remainder when (-1)/(1/4*k) is divided by 4?
0
Let j(a) = -5*a + 95. What is the remainder when 99 is divided by j(13)?
9
Let f be 3*((-217)/(-15) + 8/40). Suppose -23*p = -19*p - f. What is the remainder when 97 is divided by p?
9
Suppose 0 = 4*j - 2*f - 174, 4*j + f = j + 143. What is the remainder when j is divided by 21?
4
Calculate the remainder when 75 is divided by (-12 + 11)/(0 + 5/(-80)).
11
Suppose 85 = 3*y - 2*v, -4*y + v + 0*v + 115 = 0. What is the remainder when 168 is divided by y?
23
Calculate the remainder when 98 is divided by (-3 - 2) + -18 + 53.
8
Let s be ((-8)/20)/((-1)/10). Let n(k) = -5*k - 2*k + k**3 + s + 10*k - 4*k**2. Calculate the remainder when n(3) is divided by 1.
0
Let r = -395 - -460. Let g be 1/((-84)/85 - -1). Suppose -s = 4*s - g. What is the remainder when r is divided by s?
14
Suppose -4*m = 3*b - 55, -48 = -4*m - b + 13. Let r = -1 + m. What is the remainder when 58 is divided by r?
13
Let w = 15 - -61. Let c = w + -63. Calculate the remainder when 50 is divided by c.
11
Suppose -27 = 17*n - 20*n. Calculate the remainder when 17 is divided by (3 + 29/(-3))/((-6)/n).
7
Suppose k - 76 = i - 8, 4*i - 322 = -5*k. Calculate the remainder when k is divided by 34.
32
Let c(u) = 17*u + 53. What is the remainder when c(4) is divided by 21?
16
Let d be 18/(-4)*(5 + (-402)/(-18)). Suppose 3*g + 4*c = 663, 3*g - 221 = 2*g + 3*c. Let t = g + d. Calculate the remainder when t is divided by 33.
32
Let q = -353 - -814. What is the remainder when q is divided by 22?
21
What is the remainder when 2*7 - (15 - 14) is divided by 6?
1
Let l(y) be the second derivative of -y**3/6 + 9*y**2/2 + 2*y. Let z be l(6). What is the remainder when 27 + (-2)/z*-3 is divided by 6?
5
Let q = 60 - -60. Suppose k + 5*y = 18 + 34, -3*y = 3*k - q. Let j = -24 + k. What is the remainder when j is divided by 8?
5
Suppose 48 = 25*o - 19*o. Calculate the remainder when 9 is divided by o.
1
Let a = -45 + 132. Suppose -5*s = -2*g + 48, 5*g + s = -3*s + a. What is the remainder when 74 is divided by g?
17
Suppose -8*x + 236 = -548. What is the remainder when 207 is divided by x?
11
Let v = 125 - -170. Suppose 11*p - 6*p = v. Let m = -42 + p. Calculate the remainder when m is divided by 7.
3
Suppose l - 3*h - 58 = 0, 4*h + 112 = 3*l - l. Let d = l - 1. Calculate the remainder when d is divided by 27.
24
Suppose 172 + 88 = 5*b. Suppose 0 = 26*p - 25*p - b. What is the remainder when p is divided by 18?
16
What is the remainder when 16 is divided by 3*((-96)/18 + 6)?
0
Let c(r) = -2*r**3 - 11*r**2 + 6*r - 6. Calculate the remainder when c(-7) is divided by 20.
19
Suppose 3*z = 5 + 19. Suppose o + 4*x = -2*o + z, 5*o - 36 = -x. Calculate the remainder when ((-24)/(-10))/(o/60) is divided by 7.
4
Suppose 9 = 2*b + 1. Suppose 5*d - 36 = b*v - 5*v, d = -3*v + 52. What is the remainder when 78 - 1/(-2)*2 is divided by v?
15
Calculate the remainder when 1*-1*(-119 + -10 - -2) is divided by 33.
28
Suppose -5*v + 95 = -5*w - 0*w, 0 = -4*v - 3*w + 104. What is the remainder when 3/((-11)/((-4840)/30)) is divided by v?
21
Let b = -216 + 316. Suppose 4*d + d = b. What is the remainder when d is divided by 13?
7
Suppose -b + 4*g = b - 182, 0 = 4*b - 3*g - 344. Calculate the remainder when b is divided by 21.
20
Let a(t) = 2*t. Suppose 0 = 5*d + 23 - 63. Let h = 57 + -12. What is the remainder when h is divided by a(d)?
13
Suppose -4*j - 3*r = -27, -3*j = -6*j + 3*r + 15. Suppose -y + 19 = j. Suppose o = y + 22. What is the remainder when o is divided by 9?
8
Suppose 3*c = 129 + 21. Suppose -66 = -37*z + 415. What is the remainder when c is divided by z?
11
Calculate the remainder when ((-132)/(-7))/(252/1176) is divided by 18.
16
Suppose p + 143 = 5*g, 0*p - 126 = -4*g - 5*p. Let f = 68 - g. Calculate the remainder when 115 is divided by f.
37
Suppose -9*v + 4*v + 25 = 0. Suppose 465 = 5*o + v. What is the remainder when o is divided by 19?
16
Let l(g) = g**3 - 9*g**2 + 13*g - 20. Let y = -103 + 111. Suppose -2*k + 395 = 3*k. What is the remainder when k is divided by l(y)?
19
Let i(x) = -x**3 + 22*x**2 + 29*x + 25. Calculate the remainder when i(23) is divided by 28.
23
Calculate the remainder when 69 is divided by 36/(-24)*148/(-6).
32
Let s(j) = j**2 + j + 7. Let g be s(-2). Let t(w) = w**2 - 9*w + 11. Calculate the remainder when 19 is divided by t(g).
8
Suppose 36*o - 35*o - 78 = 0. Calculate the remainder when 1091 is divided by o.
77
Let b = 666 + -638. What is the remainder when 34 is divided by b?
6
Suppose -3*o - 5*i + 74 = 0, 2*o + 2*o = -2*i + 94. Calculate the remainder when (-4)/18 - (-821)/9 is divided by o.
22
Let v(b) be the first derivative of 3*b**2/2 + 3*b + 3. Suppose 4*c - 11 = 1. Calculate the remainder when 21 is divided by v(c).
9
Let o(x) = -x + 4. Let h be o(3). Suppose 0 = m - h, -211 = -y - y + m. Calculate the remainder when (4 - y)*(-2)/6 is divided by 12.
10
Let s be (-4)/3*(-2)/(-8)*6. What is the remainder when 58 is divided by 16*s/(16/(-6))?
10
Let w(r) = r**3 + 11*r**2 + 2*r - 19. What is the remainder when w(-7) is divided by 41?
40
Let p(v) = -3*v - 6. Calculate the remainder when p(-4) is divided by 5.
1
Suppose -5*y - 10 = -6*y. Let d(a) = a**3 - 9*a**2 - 10*a + 6. Let z(p) = p**2 - 2*p. Calculate the remainder when z(4) is divided by d(y).
2
Let w(h) = h**3 + 7*h**2 + 8*h - 8. Let b be 3/4 + (-152)/32. What is the remainder when 15 is divided by w(b)?
7
Let q(t) = 2*t**2 + 2*t - 2. Let p be q(-2). Suppose 0 = u - 3*s - 23, -2*s + 47 = u + p*u. What is the remainder when u is divided by 2?
1
Let a(y) = -y**3 + 13*y**2 + 60*y + 19. What is the remainder when a(15) is divided by 8?
5
Suppose -4*m + 2*c = -20, -m - 5 = -2*c - c. Suppose -10*r + m*r = -99. Calculate the remainder when 63 is divided by r.
30
Let l(y) = 82*y - 38. Calculate the remainder when 445 is divided by l(1).
5
Let n(y) = -y + 7. Let v be n(5). Suppose v*u = 3*g + 17, 0 = 2*u - g - 5 - 6. Suppose -24 = -u*c + 2*c. Calculate the remainder when c is divided by 7.
5
Suppose t - 1033 = -p, -3*t + 9*p - 7*p + 3109 = 0. Calculate the remainder when t is divided by 52.
47
Let c(s) = 108*s. Let d be c(1). Suppose -2*q = -4*v - d, 222 = -2*q + 6*q - 2*v. Calculate the remainder when q is divided by 29.
27
Let m be 9 + (-1)/((-1)/3). Suppose -4*x = -4*f + m, -5*x + 9 = 5*f - 6. Suppose 0 = f*l - 50 - 58. Calculate the remainder when l is divided by 19.
17
Suppose 2*v - 83 - 43 = 4*o, -4*o = 4*v - 192. Calculate the remainder when v is divided by 26 + (1 - (0 - 0)).
26
Suppose 0 = 2*a - z - 67, -5*a + 169 = -0*a - 3*z. Let m be (-27)/(-6)*a/3. Suppose 5*n - m = n. What is the remainder when 45 is divided by n?
9
Suppose -13 = 3*s + 17. Let q = -8 - s. Suppose q*i = -u + 6*i + 9, -5*u = -5*i - 90. What is the remainder when u is divided by 11?
10
Suppose 0*k - k = -11. Let u = k - -1. What is the remainder when u is divided by 5?
2
What is the remainder when 59 is divided by (2/5)/(-2) + 1313/65?
19
Suppose 5*b - 15 = 0, -3*r + 9 = 3*b + 2*b. Let l be (r - -12)*10/4. Suppose 2*q - l = -t - 8, -t - 1 = -4*q. Calculate the remainder when 32 is divided by t.
10
Let t = 3 - 0. Suppose -4*n = 3*r - 112, 3*n + t*r + 3 = 87. Let b = 55 - n. What is the remainder when b is divided by 7?
6
Let j(r) = -2*r**3 - 2*r**2 + 3*r + 3. Let h(b) = -b**3 - 3*b**2 - 4*b - 4. Let m = -19 + 16. Calculate the remainder when j(-3) is divided by h(m).
6
Let k = -269 - -770. What is the remainder when k is divided by 42?
39
Let h = -125 - -58. Let j = 84 + h. What is the remainder when 101 is divided by j?
16
Let w(j) = -24 + j**3 + 15 + 21 + 14. Let t(l) = l**2 + 4*l - 5. Let h be t(-5). Calculate the remainder when w(h) is divided by 14.
12
Suppose -36 = -h - o - 8, -3*h + 4*o + 84 = 0. Suppose 41 = 5*c - 34. Calculate the remainder when h is divided by c.
13
Let k be