*j + 4. Calculate the remainder when g(d) is divided by 20.
19
Let k(h) = -5*h - 3. Let d(j) = j**3 + 5*j**2 + 5*j - 2. Let v be d(-4). Calculate the remainder when k(v) is divided by 7.
6
Let u = -7 + 3. Calculate the remainder when 1/(3/(-840)*u) is divided by (-30)/(-2) + 12 + -9.
16
Let q be (-48)/(-21) + (-16)/56. Suppose -63 = v - q*v. Calculate the remainder when v is divided by 22.
19
Suppose -28*u - 988 + 2836 = 0. What is the remainder when u is divided by 35?
31
Let l(d) = -d**2 - 3*d + 4. Let v be l(7). Let x = -40 - v. Calculate the remainder when 73 is divided by (-4)/x - 498/(-26).
16
Suppose 3*l - 166 = -2*o - 63, 4*o - 221 = -3*l. Calculate the remainder when o is divided by 25.
9
Let n be -125 + 10 + -1 + 0 + 0. Let s = n - -123. Calculate the remainder when 20 is divided by s.
6
Suppose -882 = -133*k + 70*k. Let f = 120 + -67. What is the remainder when f is divided by k?
11
Let k = 18 - 18. Suppose 3*q + 4*r - 58 = 6*r, 3*q + 5*r - 65 = k. Let z(p) = p**3 - p**2 - p + 11. Calculate the remainder when q is divided by z(0).
9
Let p(k) = -5*k**2 - 12*k - 12. Let i(w) = -9*w**2 - 23*w - 25. Let f(y) = -4*i(y) + 7*p(y). Calculate the remainder when 59 is divided by f(-8).
11
Suppose -5*t = -4*t - 60. Let y(l) = l**2 + 3*l - 3. What is the remainder when y(2) is divided by -2 - 0 - (t/3)/(-4)?
1
Let u = -88 + 104. Suppose 7*y = -4*y + 605. Calculate the remainder when y is divided by u.
7
Let k = -377 - -381. Calculate the remainder when 7 is divided by k.
3
Let o(u) = 4*u**2 - 13*u + 3. Let m(n) = -9*n**2 + 25*n - 7. Let p(g) = -2*m(g) - 5*o(g). Calculate the remainder when 8 is divided by p(7).
2
Let m = -198 - -216. Calculate the remainder when 120 is divided by m.
12
Let m = -211 - -221. What is the remainder when 37 is divided by m?
7
Suppose -85*g + 45*g = -1400. Calculate the remainder when g is divided by 18.
17
Suppose 3*o + a + 3*a = 35, 5*a - 1 = o. Let x(i) be the second derivative of i**4/6 + i**3/2 + 3*i**2 + 18*i. What is the remainder when x(-4) is divided by o?
8
Let h = -32 - -80. What is the remainder when 47 is divided by ((-6)/(-12))/(2/h)?
11
Let r = -253 - -276. What is the remainder when 137 is divided by r?
22
Let q be -4*(-6)/8 + -3. Suppose q - 12 = -4*h. Calculate the remainder when -9*4*(-2)/h is divided by 13.
11
Let z(a) = -16*a + 92. What is the remainder when z(2) is divided by 16?
12
Suppose -2 = -a + 7. Let r = -8 + a. Let n = r - -3. Calculate the remainder when n is divided by 3.
1
Suppose -485 = -5*i - 5*j, -5*j - 145 = -2*i + 42. What is the remainder when i is divided by 56?
40
Suppose 3*y + 1082 = 5*w, 0*w - 214 = -w + 3*y. Suppose -3*o - 335 = v + 4*v, 3*v = -5*o - w. Let z = 95 + v. What is the remainder when 123 is divided by z?
30
Suppose 0 = -5*p + t + 22, -5*t = 7*p - 5*p - 25. Let s = 31 - 7. Suppose p*l = 2*l + s. Calculate the remainder when 30 is divided by l.
6
Let z = -39 + 42. Suppose z*t = 3*q + 72, -4*t + 6 + 80 = -2*q. Calculate the remainder when t is divided by 11.
8
Calculate the remainder when (21 + -207)*((-15)/10 - -1) is divided by 11.
5
What is the remainder when (27/2)/(((-10)/(-5))/24) is divided by 83?
79
Calculate the remainder when 3 is divided by -4*(-1)/(-2)*-1.
1
Let k(g) = 40*g**2 - 259*g - 16. Calculate the remainder when 281 is divided by k(7).
19
Let v(w) = w**2 + 177*w + 2872. What is the remainder when (2/(-4))/((-1)/74) is divided by v(-18)?
7
Calculate the remainder when 3 + 92 + -3 + 2 is divided by 7.
3
Suppose 4*i - 8 = 0, u = -3*u + 4*i + 1164. Calculate the remainder when u is divided by 99.
95
Let m(h) = 6*h - 4. Let v be m(-3). Let i = v - -39. Calculate the remainder when i is divided by 9.
8
Let a = 689 - 680. What is the remainder when 29 is divided by a?
2
Suppose -4*k - 12 = -8*k. Suppose -97 + 1 = -k*l. What is the remainder when 93 is divided by l?
29
Suppose -68 = -5*z + z. Let b be (2 + 6/(-12))/((-3)/(-8)). What is the remainder when ((-300)/45)/(b/(-30)) is divided by z?
16
What is the remainder when (-27972)/(-204) + (-1)/((-34)/(-4)) is divided by 70?
67
Let f = 326 + -119. Let y = -577 + 607. Calculate the remainder when f is divided by y.
27
Let y(o) = 36*o - 1. Let r be y(1). Suppose -4*b = -r - 21. Let q = 56 - 1. Calculate the remainder when q is divided by b.
13
Suppose -2*n + 4*n = -g + 4, -4*g + 5*n + 16 = 0. Suppose 7*j - 120 = g*j. Calculate the remainder when j is divided by 23.
17
Suppose -3*u + 4*u = -2*d + 45, -120 = -4*d + 4*u. What is the remainder when 1176/112*(-96)/(-14) is divided by d?
22
Let i(p) = -p**2 - 4*p. Let h be i(-3). Suppose 4*k = -3*v + v + 2, -2*v + h*k = -23. Calculate the remainder when ((-25)/(-6))/(-1*9/(-54)) is divided by v.
4
Let w(x) = -8*x + 5 + 0*x**3 + x**3 + 7 - 3*x**2. Let d be (-3)/6 - (-22)/4. Calculate the remainder when 63 is divided by w(d).
19
Let y(g) = -g**3 - 6*g**2 - 13*g - 9. Calculate the remainder when 38 is divided by y(-4).
5
Suppose -37*p + 38*p = 9. Suppose -z - 2*z + p = a, -2*a - 10 = -z. What is the remainder when (32 + z)/(3/2) is divided by 13?
11
Suppose 13*x + 14 = 14*x. Calculate the remainder when 20 is divided by x.
6
What is the remainder when 177 is divided by 38 - (-2*6)/(-6)?
33
Let v(p) be the second derivative of p**4/12 + 13*p**3/6 - 4*p**2 + 13*p. What is the remainder when 62 is divided by v(-15)?
18
Let c = 126 + -57. Suppose -3*o + 216 = c. What is the remainder when 145 is divided by o?
47
Suppose -28*n = -30*n + 14. What is the remainder when 52 is divided by n?
3
Suppose -4*b = 3*n - 20, 2*n - 4 = 3*b + 15. Calculate the remainder when n is divided by 6.
2
Suppose 20 = 4*j, 5*m + 56 = -3*j - 34. Let t(s) = -s**3 + s**2 - 4*s + 3. Let u be t(2). Let i = u - m. Calculate the remainder when 47 is divided by i.
11
Suppose -50 + 122 = 2*v. Let s = -6 + v. What is the remainder when 87 is divided by s?
27
Let n(k) = -12*k - 1. Let c(m) = -59*m - 5. Let g(l) = -2*c(l) + 11*n(l). Let w = 53 - 56. What is the remainder when g(w) is divided by 14?
13
Suppose 16 = j - 2*b, -2*b - 24 = -5*j + 16. Let t(q) = -q**3 + 6*q**2 + 6*q - 17. Calculate the remainder when 36 is divided by t(j).
17
What is the remainder when 796 is divided by 45 + 1*(-12 - -9)?
40
Let b(a) = -5*a - 9. Suppose k = 4*k + 21. Let d be b(k). Let p = -5 + d. What is the remainder when p is divided by 12?
9
Let j = -67 - -400. Suppose -16*u = -19*u + j. What is the remainder when u is divided by 38?
35
Let k = 836 - 720. What is the remainder when k is divided by 9?
8
Suppose 0 = n - 3*j + 65 - 3, 5*j - 241 = 4*n. Let t = -27 - n. Suppose -v + 33 = 2*v. What is the remainder when t is divided by v?
10
What is the remainder when (8 + -7 - -185) + 1 is divided by 47?
46
What is the remainder when 61 is divided by (-5 - -5 - 3)/((-3)/28)?
5
What is the remainder when 165 is divided by (0 - (36 + -1))*(-136)/85?
53
Let b(w) = w**3 + 5*w**2 - 2*w - 7. Let g = -654 + 659. What is the remainder when g is divided by b(-5)?
2
Suppose -4*r - 19 = -i - 9*r, 5*i = 3*r + 11. Let j(g) = g**2 - 5*g - 4. Calculate the remainder when j(8) is divided by i.
0
Let z be ((-1)/(1/(-4)))/2. Suppose 4*o = -q + 90, 5*o - 7*q - 100 = -z*q. Let p = -477 + 518. Calculate the remainder when p is divided by o.
19
Let v be 186/14 + (-2)/7. Suppose -4*w = -v - 3. Calculate the remainder when 11 is divided by w.
3
Suppose 2*r - 9*r + 182 = 0. Let p(s) = 2*s**2 - 4. Suppose -4*z - 7 - 5 = 0. What is the remainder when r is divided by p(z)?
12
Let m = -1147 - -1173. What is the remainder when 39 is divided by m?
13
Suppose 100*q = 99*q + 40. What is the remainder when q is divided by 7?
5
Let f be 1 + 0 + 7/(-7). Suppose 168 = 5*y + 2*y. Suppose 4*n + f = y. Calculate the remainder when 21 is divided by n.
3
Suppose 2*g = -5*l + 35, -7 - 8 = -3*l. Let s = 1 + -5. Let x = s + g. What is the remainder when 4 is divided by x?
0
Suppose 0 = -25*k + 374 + 51. Suppose r = y + 80, 2*r - y = 126 + 36. What is the remainder when r is divided by k?
14
Suppose -2*w = -v - 1, 0 = -3*v + w + w + 9. Let g be v/(-15) - (-7)/3. What is the remainder when ((-42)/5)/(g/(-10)) is divided by 15?
12
Let p = -19 - -17. Let r be 0/1 - p - -2. What is the remainder when 2/r - 62/(-4) is divided by 6?
4
Let x(a) = a**2 - a - 90. Calculate the 