 when b(8) is divided by 24.
20
What is the remainder when 6720/(-126)*(-30)/8 is divided by 40?
0
Suppose -4*d - 3*w - 2 = 0, 3*d - 4 = -4*w - 2. Calculate the remainder when ((-435)/(-25))/(d/(-10)) is divided by 30.
27
Calculate the remainder when 305 is divided by (-7)/56 + 1/(-16)*-274.
16
Let u(a) = -a**2 + 5*a + 7. Let w be u(5). Suppose z = -4*h + 20, -h + 5*z = 4*h. Calculate the remainder when 24/4 + (w - 3) is divided by h.
2
Let g(u) = 18*u + 265. What is the remainder when g(-8) is divided by 18?
13
Suppose -2 = -2*a, -31 = -5*k - 5*a - 6. Suppose 0*u - 4*u + 80 = 0. What is the remainder when (u/40)/(1/14) is divided by k?
3
Let q = 103 - 74. Suppose -3*a - 2*a - 336 = -2*z, 523 = 3*z + 2*a. Calculate the remainder when z is divided by q.
28
Let t(x) = -x**2 + 10*x + 7. Suppose 2*d - 15 = -3*h, 4*d = -2*h + 8 + 2. What is the remainder when t(8) is divided by h?
3
Let l = -9 - -17. Let t = l - -17. Calculate the remainder when t is divided by 7.
4
Let v(l) = 4*l - 5. Suppose -2*z = o - 6, 3*z + 0 + 2 = 4*o. Let w = 8 + -5. What is the remainder when v(o) is divided by w?
0
Suppose 3*x + 0*c = 2*c + 208, 5*x - 2*c - 344 = 0. Suppose 20*g = -16*g + 34*g. Suppose g*b + 2*b = x. Calculate the remainder when 100 is divided by b.
32
Suppose f + 4 = 14. Suppose -19 = 6*z + 17. Calculate the remainder when f is divided by z/5*(-15)/3.
4
Let y(z) = 2*z**2 - z - 2. Let p be y(-1). Let m(o) = 2*o**2 - 4*o + 5. Calculate the remainder when m(p) is divided by 1.
0
Let i be (414/12)/((-1)/(-4)). Let t = i - 27. Calculate the remainder when t is divided by 28.
27
Let n be (-2 + 0)*(-11)/2. Suppose -9 = -2*r + n. What is the remainder when 19 is divided by r?
9
Let o(k) = k**3 - k**2 + 3. Let z be o(0). Suppose -2*y + 103 = z*p, 136 = 3*y - 5*p + 29. What is the remainder when y is divided by 5*-9*(-6)/18?
14
Let n = -1306 - -1311. Let x = 4 + -3. Calculate the remainder when 1/((-14)/(-13) - x) is divided by n.
3
Suppose 4*r - 368 = -104. Let m = 119 - r. What is the remainder when m is divided by 9?
8
Let h(u) = 2*u - 17. Let t be h(6). Let c(p) = p + 26. What is the remainder when 80 is divided by c(t)?
17
Let o(d) = -6*d**2 + 2*d + 2. Let u be o(2). Let z(f) = -4*f - 42. Calculate the remainder when 117 is divided by z(u).
27
Suppose 10*o - 2256 = -2*o. What is the remainder when o is divided by 16?
12
Let x be (6/9)/((-6)/63). Calculate the remainder when 17 is divided by 3 + x + 13/1.
8
Let c(u) = -u**2 - 53*u - 183. Calculate the remainder when c(-44) is divided by 11.
4
Let s(b) = -b**3 + 6*b**2 - 6*b - 1. Let d be s(2). Calculate the remainder when 2/(-4) + (97/2 - d) is divided by 8.
5
Suppose -45 = 2*n + 65. Let v = 92 + n. Calculate the remainder when 110 is divided by v.
36
Let f be 7 - (-4)/(-5)*70/28. Suppose f*m = y + 4*m - 18, y - 16 = -m. What is the remainder when 48 is divided by y?
14
Suppose 2*a = a + 106. Suppose n = -4*n + 2*f + 144, -3*f = 4*n - a. Calculate the remainder when n is divided by 118/12 + 2/12.
8
Let y be 1 + 2 + -79 + 1. Let z = 380 - 256. Let m = y + z. What is the remainder when m is divided by 18?
13
Suppose 4*r - 26 = -h, -43 = 4*h + 5*r - 202. Calculate the remainder when h is divided by 6.
4
Let r be (-40)/50*490/4. Let v = 149 + r. What is the remainder when v is divided by 27?
24
Let o(u) = 2*u**2 - 16*u + 8. Let m be o(8). Suppose m = 3*r - 133. What is the remainder when r is divided by 12?
11
Suppose -53*b + 1596 = -6407. What is the remainder when 600 is divided by b?
147
Let b(k) = 2*k + 14. Let w be b(-5). Suppose 0 = -w*f - q - 4*q + 433, -q + 5 = 0. Calculate the remainder when f is divided by 26.
24
Let n(w) = -3*w**2 - 29*w - 4. Calculate the remainder when n(-8) is divided by 14.
8
Let q = -43 + 48. Suppose -5*v = 5, -28 = -q*t - 4*v + 63. What is the remainder when t is divided by 10?
9
Calculate the remainder when (10*1)/2 - 66/(-33) is divided by 4.
3
Suppose -4*n + 3*u - 53 = -188, -2*u + 78 = 2*n. What is the remainder when n is divided by 17?
2
Suppose 31 = 3*m - 14. What is the remainder when m is divided by (-138 - -126)/(2/(-1))?
3
Let y(h) be the second derivative of -h**5/20 + 11*h**2 + 12*h. Suppose -2*l + 26 = 5*o, -2*l + 2 = 2*o - 6. What is the remainder when y(0) is divided by o?
4
Suppose -4*u = -5*u + 299. What is the remainder when u is divided by 60?
59
What is the remainder when 48 is divided by (-7)/(-2)*(360/21)/6?
8
Let s(o) = o**2 + 8*o - 37. Let v be s(-11). What is the remainder when (-38)/v*1*(-2 + 4) is divided by 12?
7
Let o = 192 + -327. Let x = 189 + o. Calculate the remainder when x is divided by 7/2*(10 - 6).
12
Suppose -4*b + 259 - 64 = 5*a, a + 87 = 2*b. Suppose -25 - 8 = -2*z - g, -5*z = -5*g - b. Calculate the remainder when 40 is divided by z.
12
What is the remainder when 21 is divided by 72/(-32)*(-3 + 19/(-3))?
0
Let m(a) = -a**3 - 8*a**2 - 10*a - 5. Suppose 5 = -2*x - 9. Calculate the remainder when 29 is divided by m(x).
13
Let l(f) = f**3 - 8*f**2 - 9*f + 2. Calculate the remainder when 6/18 + 82/6 is divided by l(9).
0
Suppose -562 = -8*g - 378. Let r(p) = 22*p**2 - 2*p - 1. Calculate the remainder when r(-2) is divided by g.
22
Let s(t) = t**2 - t + 157. Let q = 26 - 26. What is the remainder when s(q) is divided by 53?
51
Let g(a) = -3*a - 4. Let f(o) = -2*o**2 + 6*o. Let z be f(4). What is the remainder when g(z) is divided by (-4)/((-48)/66)*(-2)/(-1)?
9
Suppose 0 = -4*l - 4*o, -o - 2 = -3*l - 5*o. Calculate the remainder when 21 is divided by l - (-11 + -4)*1.
8
Suppose 2*x - 6 = 0, -n + 2 - 32 = -x. Let g(p) = -4*p + 1. Let b be g(1). Calculate the remainder when b/(111/n + 4) is divided by 6.
3
Let d(z) be the first derivative of 5 + 2*z - 7/2*z**2. What is the remainder when 88 is divided by d(-3)?
19
Calculate the remainder when 86 is divided by (55/10)/(1/2).
9
Let l(m) = -m**3 + 5*m**2 - 4*m. Let h be l(4). Suppose -4*k - 4*u + 1 + 7 = h, -4*k = -3*u - 29. Let t = 39 - k. What is the remainder when t is divided by 13?
8
Calculate the remainder when ((-268)/(-5))/(1/5) is divided by 30.
28
Let j(m) = -m**2 + 23*m - 29. Suppose c - 65 = -4*c. What is the remainder when j(19) is divided by c?
8
Let r be (20/14)/((-17)/(-119)). Calculate the remainder when 4 is divided by 4/r + (-78)/(-30).
1
Let n(s) = 28*s - 49. Let p(a) = 2*a**3 - 2*a**2 - a + 2. What is the remainder when n(4) is divided by p(2)?
7
Let b(i) = i**2 - 2*i - 3. Let a be b(5). Let z(m) = -4*m + 33 - 2*m + 5*m. What is the remainder when z(a) is divided by 8?
5
Let u(y) = 20*y**2 - 3*y - 2. Let c(n) = n**3 - 5*n**2 + 3*n - 7. What is the remainder when u(-1) is divided by c(5)?
5
What is the remainder when (-9 - (-2981)/55)*5 is divided by 46?
42
Suppose 0*v = 3*m + v - 48, 32 = 2*m + 5*v. What is the remainder when m is divided by 6?
4
Let s(y) = y**3 - 6*y**2 + 7. Let z be s(5). Let h be (-1 + 9)*z/(-4). Calculate the remainder when -6*(h/(-8))/1 is divided by 7.
6
Suppose -m = v - 7, 2*v - 3 = m + 5. Suppose 307 - 27 = v*r. Calculate the remainder when 24 is divided by 520/r + 4/(-14).
6
Suppose 0 = 9*n - 31 - 5. Let b = -8 + 0. Let i(q) = -q + 7. Calculate the remainder when i(b) is divided by n.
3
Suppose -2*g + 9 - 41 = 0. Calculate the remainder when (-6)/g - 2106/(-16) is divided by 34.
30
Suppose -n - 7 = 3. Let b(h) = h**3 + 9*h**2 - 11*h + 2. What is the remainder when 45 is divided by b(n)?
9
Let h = -160 - -276. What is the remainder when h is divided by 12?
8
Let j = 36 + 29. Let f be ((-16)/6 - -2)*-63. Suppose 3*g = -3*z + f, 13 - 4 = -3*z. What is the remainder when j is divided by g?
14
Let a = 584 + -570. Calculate the remainder when a is divided by 3.
2
Suppose 292*k - 136 = 288*k. Let l = k - 26. Calculate the remainder when 51 is divided by l.
3
Let f(a) be the second derivative of -a**5/20 + 5*a**4/12 - a**3/3 - 3*a**2/2 - 12*a. Let r = 5 + -2. Calculate the remainder when 35 is divided by f(r).
8
Let n(w) = 2*w**2 - 5. Calculate the remainder when 60 is divided by n(-2).
0
Let r(m) = -m**2 + 10*m + 2. Let j be r(10). Suppose n = 3*f + 12, 4*n - 15 = -j*f + 3*f. What is the remainder when 7 is divided by n?
1
Let v(b) = b**2 - 4*b - 4. Let g(a) = -a**2 - 3*a + 51. What is the remainder when g(-7) is divided by v(6)?
7
Let q be 1 - 0 - 42/(-14)