Calculate the remainder when a(9) is divided by 68.
66
Let k(b) = b**3 - 10*b**2 - 19*b - 39. Calculate the remainder when k(12) is divided by 13.
8
Let c(y) = 11*y**3 - 2*y + 1. What is the remainder when 397 is divided by c(1)?
7
Let w(x) = 2*x**2 + 4 + 0 - 2*x**3 + x - 3. Suppose 11*q = 3*q - 16. What is the remainder when w(q) is divided by 13?
10
Suppose w + 3*n + 301 = 3*w, -w + 128 = 3*n. What is the remainder when w is divided by 21?
17
Let x(u) = u**2 - 10*u - 9. Calculate the remainder when 268 is divided by x(12).
13
Calculate the remainder when 240 is divided by 9/(-18) - 19/(-2).
6
Let g be 39/15 - (-4)/10. Suppose g*j - 37 = 2*j + 3*n, -4*n = 20. What is the remainder when 63 is divided by j?
19
Let x be 6/9 - 642/(-9). What is the remainder when (30/75)/(2/5)*x is divided by 13?
7
Let a(o) = 7*o - 8 - 23*o + 4*o + 10*o. Calculate the remainder when 7 is divided by a(-6).
3
Let g be -2 + 1 - (-1 - 1). Let z(b) = 44*b - 1. Let t be z(g). Suppose -35 - t = -3*j. Calculate the remainder when 77 is divided by j.
25
Let n(d) = -d**3 + 11*d**2 - 8*d - 28. Calculate the remainder when n(7) is divided by 30.
22
Let c(d) = 19*d**3 + 2*d**2 - 9*d + 8. Calculate the remainder when c(2) is divided by 28.
10
Let r(b) = -2*b + 40. What is the remainder when r(-26) is divided by 39?
14
What is the remainder when 49 is divided by (1 - 60/52) + 981/39?
24
Suppose 150 = 5*f + 15. What is the remainder when f is divided by 18?
9
Suppose -68 = 10*r - 12*r. Let b = -52 - -117. What is the remainder when b is divided by r?
31
Calculate the remainder when 1*82*33/66 is divided by 26.
15
Suppose -3*b - 9 = 0, -3*w - 5*b = -b + 3. Suppose -3*x + 54 = w*a, -2*a = -4*x - 58 + 160. What is the remainder when x is divided by 4?
3
Calculate the remainder when 136 is divided by (4 - 732)/(-13) - -1.
22
Let w be (-12)/6 + (-11)/(-1). Suppose -13 = -4*x + 2*f - 31, 0 = 5*x - f + 18. Calculate the remainder when (x/w)/(3/(-117)) is divided by 7.
6
Suppose 55 + 5 = 2*c. Suppose 0 = -4*y + 3*u + 16, 0 = 4*y - 6*y - 4*u + c. Calculate the remainder when 41 is divided by y.
6
Suppose 5*z - 148 + 28 = 0. Let h(w) = 2*w + 9. Let p be h(-6). Let j(k) = k**3 + 5*k**2 + 2*k + 1. Calculate the remainder when z is divided by j(p).
11
Let b(s) be the third derivative of -7*s**6/40 - s**4/24 - s**2. Let n = -98 + 97. What is the remainder when b(n) is divided by 12?
10
Let t(w) = 101*w + 1. Let c be t(1). Let i = 126 - c. Suppose 0*s + 384 = 4*s + 4*p, -s - 5*p + 104 = 0. What is the remainder when s is divided by i?
22
Let m = -9 + 50. What is the remainder when 163 is divided by m?
40
Suppose 24 = 5*l + 19, 0 = -3*b + 2*l + 154. What is the remainder when 101 is divided by b?
49
Suppose 55 = 2*o - 85. Let b = -55 + o. Calculate the remainder when b is divided by 10.
5
Let w(l) = l**2 + 10*l + 11. Let u be w(-10). Let g be 4/(-6) + 416/48. Suppose d = g + u. Calculate the remainder when 55 is divided by d.
17
Suppose 0*q = 4*q + 3*f, q = -5*f. What is the remainder when 1 - (q + -2)*41*1 is divided by 17?
15
Let a be (-364)/(-98) + (-2)/(-7). Suppose -p + 130 = a*p. Calculate the remainder when 76 is divided by p.
24
Let g = 2 - -3. Let f(m) = 7*m**2 + 2*m - 1. Let t be f(1). Suppose -t*w + 129 = -g*w. What is the remainder when w is divided by 11?
10
Let n(a) = -2*a + 3. Let t = 162 + -138. Calculate the remainder when t is divided by n(-3).
6
Suppose 5*u - 1038 = 4*o - 150, -3*u = 5*o - 518. What is the remainder when u is divided by 61?
54
Let b = 2242 - 1447. Calculate the remainder when b is divided by 21.
18
Let b(y) = 3*y**2 + 29*y - 11. Let i be b(-10). What is the remainder when (-51)/(-3) + (i - -4) is divided by 7?
6
Let n be ((-8)/20)/((-2)/30). Let c be (-7 + n)/((-1)/39). Suppose -4*m + 111 = c. Calculate the remainder when m is divided by 5.
3
Let p = 277 - 274. What is the remainder when 12 is divided by p?
0
Suppose 14 + 226 = 5*n. What is the remainder when 235 is divided by n?
43
Let t(w) be the third derivative of -41*w**6/30 - w**5/30 - w**4/12 - w**3/6 + 11*w**2. What is the remainder when t(-1) is divided by 41?
40
Let t = 13 + -9. Let m = t + 7. Suppose -c = 3*c - 212. Calculate the remainder when c is divided by m.
9
Let l(k) = -6*k - 2 + 4*k - k**3 + 4. What is the remainder when 101 is divided by l(-3)?
31
Suppose -g = 4*g - 60. Suppose 0 = r + j, 3*r - 7 = -5*j - 17. Calculate the remainder when g is divided by r.
2
Let y(b) = -8*b. Suppose -173*r - 140 = -183*r. Calculate the remainder when r is divided by y(-1).
6
Suppose -3*d = -4*j - 45 - 982, -d = 5*j - 374. Calculate the remainder when d is divided by 44.
41
Suppose -k + 0*k + 3 = 0. Suppose -k*v + 5*v - 120 = 0. Let n = -27 + 48. Calculate the remainder when v is divided by n.
18
Let t be ((-4)/(-6))/((-2)/(-6)). Suppose -4*f - 79 = -4*p + f, 0 = 3*p - t*f - 54. What is the remainder when (-11)/((7/((-70)/15))/6) is divided by p?
12
Suppose -168 + 1793 = 13*j. What is the remainder when j is divided by 43?
39
Let z(p) = -3 + 1 - 4 + 4 - p. Calculate the remainder when 3 is divided by z(-3).
0
Let v(c) = -c**3 + 3*c**2 - 2*c + 3. Suppose -4*l = -26 - 70. Suppose 4*g = 3*p + 32, 5*g - 4*p = 2*g + l. Calculate the remainder when g is divided by v(2).
2
Suppose 0*l - 130 = -2*l - 2*u, -2*u - 56 = -l. What is the remainder when l is divided by 4/10 - (-326)/10?
29
Let w = -4 - -6. Suppose 2*o + o = t - 81, -w*t + 148 = o. Suppose 38 = -26*d + 28*d. Calculate the remainder when t is divided by d.
18
Suppose 8 = 10*v - 2*v. What is the remainder when -8*(2 + -3)*(v + 1) is divided by 9?
7
Let p(n) = -n**3 + 5*n**2 - 2*n. Let j be p(5). Suppose -7*s = -40 + 12. Calculate the remainder when 49 is divided by (-182)/j + s/(-20).
13
Suppose 0*h = 5*h + d + 4, -4*h + 16 = -4*d. Suppose -3*n - z + 69 = 2, h = -2*z + 2. What is the remainder when n is divided by 8/36 + 104/18?
4
Suppose -49*f = -486 - 494. Calculate the remainder when 1355 is divided by f.
15
Let k = 96 - 47. Let m be -53 - 2/4*-2. Calculate the remainder when k is divided by (m/6)/(4/(-6)).
10
Let w = 5 - 1. Suppose w*t = -8 + 20. Suppose t*v - 2*v - 61 = 0. What is the remainder when v is divided by 21?
19
Let f = 0 - -6. Suppose -4*w = -13 - 3. Suppose -22 = -w*y + 22. What is the remainder when y is divided by f?
5
Suppose -4*a = -5*a + 14. Let k(i) = -i**2 + 4*i - 5. Let p be k(4). Let r = p + a. Calculate the remainder when 15 is divided by r.
6
Let m = -18 - -16. What is the remainder when (13/2)/(m/(-4)) is divided by 6?
1
Suppose -y + 2*x + 42 = 0, -6*y = -y - x - 246. Let v(k) = k**3 + 16*k**2 + 13*k - 13. What is the remainder when y is divided by v(-15)?
16
Let y(a) = -3*a**2 - 2 + a**3 - 2 + 0 - a. Let v = 9 - -12. Calculate the remainder when v is divided by y(4).
5
Let m = -1606 - -1656. Calculate the remainder when m is divided by 42.
8
Let u = 35 + -31. Suppose 0 = -8*a + u*a - 44. Let x = 16 + a. Calculate the remainder when 12 is divided by x.
2
Suppose -y + 21 + 4 = 0. Calculate the remainder when y is divided by (-1)/4 - ((-49)/4 - 2).
11
Let i = -78 + 75. What is the remainder when 146/4 + (-1)/(-2) is divided by i/((45/(-65))/3)?
11
Suppose -42*z = -47*z + 50. Calculate the remainder when 33 is divided by z.
3
What is the remainder when 16 is divided by ((-324)/60)/(3/(-5))?
7
Suppose v + 2*g = 0, -4 = -4*v + 4*g - 16. Let m(q) = q**3 + 15*q**2 + 12*q + 6. What is the remainder when m(-14) is divided by ((-12)/10)/(v/20)?
10
Suppose 2*a = -2 - 10. Let q be 6 - 3/(a - -3). Suppose -13 = -2*j + 5*w, -q*w = -2*j - 3*w + 14. What is the remainder when 25 is divided by j?
7
Suppose 0 = -w - 5*k - 8, -5*w + 10 = -k - 2. Suppose 3*d + 15 = w*d. What is the remainder when ((-11)/3)/(1/d) is divided by 19?
17
Let b(a) = 14*a + 20. Let r be b(-4). Let i = -30 - r. What is the remainder when 14 is divided by i?
2
Let o(a) = 22 - 20 + 13 + a. Calculate the remainder when 12 is divided by o(-7).
4
Suppose 2*p = 3*h + 4 - 0, -2 = -p - 2*h. Suppose p*y = 10*y - 600. Calculate the remainder when y is divided by 6.
3
Calculate the remainder when ((-4)/12*5 + 3)*30 is divided by ((-43 - -1)/(-2))/1.
19
Let o(z) = 4*z. Let q be o(-1). What is the remainder when 104 is divided by 1 - (q/14 + (-160)/28)?
6
Suppose -69 = -6*q + 3*q.