 remainder when 58 is divided by u(0).
4
Let v(p) = -p**3 + 22*p**2 + 15*p + 218. Suppose 0 = i + i. Suppose -404 = -4*j - z, 5*j + z - 505 = -i*z. What is the remainder when j is divided by v(23)?
33
Let p(l) be the first derivative of 64*l**3/3 - l**2/2 + l + 10. What is the remainder when p(1) is divided by 13?
12
Let k(g) = 25*g - 227. Calculate the remainder when k(17) is divided by 29.
24
Suppose c + 2*c = -63. Let b(x) = 2*x**2 + 5*x + 6. Calculate the remainder when 20*2/((-12)/c) is divided by b(-4).
16
Let g = 109 - 90. Suppose g*h - 22*h = -348. Calculate the remainder when h is divided by 40.
36
Let j(u) = -37*u - 2. Calculate the remainder when j(-4) is divided by (2/(-4))/((-8)/592).
35
Let p = -25 - -32. Suppose 131 = p*r - 93. What is the remainder when r is divided by 13?
6
Suppose 0 = -5*j - 4*z + 198, 0*z = -2*j - 5*z + 86. What is the remainder when 763*(-9 - 384/(-42)) is divided by j?
33
Calculate the remainder when 501 is divided by (970/(-776))/(1/(-68)).
76
Let r = -433 + 438. Calculate the remainder when 13 is divided by r.
3
Suppose 1 + 11 = 6*l. Suppose -l*k + 29 = 17. Calculate the remainder when 0/(-1) - 48/(-3) is divided by k.
4
Let y(u) = -2*u**3 + 6*u**2 - 3*u + 8. Let m be y(7). Calculate the remainder when (m/(-10))/3 - 2/(-4) is divided by 8.
6
Let d be (-6)/4 + (-209)/22. Let x = d - -11. Suppose -3*c - 5*t + 145 = x, 3*t - 29 = -c + 22. Calculate the remainder when c is divided by 16.
13
Let g(v) = v**2 + 4*v + 5. Let q be g(-4). Let c(a) = a**3 - 4*a**2 - 2*a + 5. What is the remainder when 1096/28 - (-8)/(-56) is divided by c(q)?
19
Let w(d) = -d**2 - d + 17. Let c be w(-4). Suppose 5*v - v + 34 = c*o, 3*o = 2*v + 20. Calculate the remainder when 17 is divided by o.
5
Let r be (-4 - -6)*(-46)/(-4). Let w = 33 - r. Suppose w*b = 11*b - 15. What is the remainder when 28 is divided by b?
13
Let o(n) = -n**3 + 30*n**2 - 16*n - 51. Calculate the remainder when o(29) is divided by 82.
80
Let s be -44*(1 - 7/4). Suppose -9 = -2*n + s. Let c(x) = -3*x + 50. Calculate the remainder when n is divided by c(14).
5
Suppose -4*i = -2*n - 628, 31*i - 4*n + 449 = 34*i. What is the remainder when i is divided by 137?
18
Let z(x) = 459*x - 132. Calculate the remainder when z(5) is divided by 38.
35
Suppose 0 = 3*k + 80 + 19. Let h = 21 - k. Suppose 10 - h = -a. What is the remainder when a is divided by 15?
14
Let w = -192 - -275. What is the remainder when w is divided by 5?
3
Let a = -133 - -176. What is the remainder when a is divided by 21?
1
Suppose 9 = -i - 0. Let p = -6 - i. Suppose -u = -2*s + 21, p*u + 50 = -2*s + 7*s. Calculate the remainder when 25 is divided by s.
12
Suppose 0 = -2*o + 5*l + 393, 119 = o - l - 70. What is the remainder when o is divided by 69?
46
Let j(x) = -x**3 - 4*x**2 + x - 8. Let f be j(-5). Let o = f - -35. What is the remainder when o is divided by 16?
15
Suppose 0 = 2*h - 4*s - 60, -4*h - 2*s + 4*s = -96. What is the remainder when ((-5)/3)/(4/(-156)) is divided by h?
21
Calculate the remainder when -7*((-5940)/70)/11 is divided by (15*1 - 1) + 0.
12
Suppose 3*b = -q - b - 16, -q + 5*b + 29 = 0. Suppose -6 = 5*d + q. Calculate the remainder when (8/d - -5) + 142 is divided by 36.
35
Let n be -19*(1 - 3) + 0. Let j = -308 + n. What is the remainder when 3/12 + j/(-8) is divided by 9?
7
Suppose 3*n + n - 388 = -3*f, -3*n + 2*f + 291 = 0. What is the remainder when n is divided by 25?
22
Let k be 255 - (1 - (0 - -1)). Suppose -6*w - 47 = -h - 3*w, -5*h + 5*w = -k. What is the remainder when h is divided by 18?
17
Let f(t) = -t**2 - 2*t + 3. Let l be f(-2). Suppose o + 151 = l*o + h, -2*o + 139 = -3*h. Calculate the remainder when o is divided by 13.
9
Let o = 66 - 132. Let l = o + 71. What is the remainder when l is divided by 4?
1
Let c = -908 + 1189. What is the remainder when c is divided by 18?
11
Let d = -34 + 39. Suppose -2*r + 2*w = 7*w - 69, d*r - 105 = w. Let t = 15 - 7. What is the remainder when r is divided by t?
6
Let l(b) = b + 3*b + 5*b - b**2 + 5. Calculate the remainder when l(5) is divided by 7.
4
Let z = -1046 - -1149. Calculate the remainder when 434 is divided by z.
22
Let q(k) = 13*k + 38. Suppose 4*w + 4 = 4*z - 2*z, 5*z = w + 46. What is the remainder when q(z) is divided by 43?
39
Let x(b) = 11*b**2 + 8*b + 8. Let q be x(5). Suppose 0 = 10*p + 7*p - q. What is the remainder when p is divided by ((-10)/4)/(1/(-4))?
9
Suppose -91 = -0*b - 4*b + l, 3*b - 4*l = 65. Suppose 3*r - 2222 = 4*n, 0 = 4*r + 2*n - 4*n - 2956. What is the remainder when b is divided by (-2)/(-7) + r/63?
11
Let k = -2 + 0. What is the remainder when (1 - 21)/(k/2) is divided by ((-49)/9 - -5) + (-412)/(-36)?
9
Let d = -126 - -279. Suppose -576 = -3*b - d. Suppose 2*i + 3*v - b = -2*i, 2*i - 5*v - 51 = 0. Calculate the remainder when i is divided by 18.
15
Suppose -9*f + 118 = -26. Calculate the remainder when 447 is divided by f.
15
Let v(f) be the second derivative of f**5/20 - 7*f**4/12 - 3*f**3/2 + 14*f**2 - 10*f. Calculate the remainder when 59 is divided by v(8).
19
Let r = -516 + 544. Calculate the remainder when r is divided by 2.
0
Let f be (-8)/(-12) - 22/(-3). Suppose -5*z + z - 13 = o, -2*z - 2*o = f. Calculate the remainder when 220/15 + z/(-9) is divided by 4.
3
Let n be -53*(-8 + 3/1). Suppose 0*i + 5*f = 4*i - 212, -3*f = -5*i + n. Calculate the remainder when i is divided by 19.
15
Suppose 5*c - 246 = -4*x, -5*c - 136 = -5*x + 149. What is the remainder when x is divided by 73/5 + (-8)/(-20)?
14
What is the remainder when 250 is divided by (-143)/(-4) + (-11)/(-44)?
34
Let t(f) = -f**2 - 8*f + 1. Let z(g) = -g**3 + 14*g**2 - 13*g - 18. Let o be z(13). Let p = o + 12. Calculate the remainder when 38 is divided by t(p).
12
Let b(k) = 12*k**3 + 7*k**2 - 23*k + 17. What is the remainder when 276 is divided by b(2)?
86
Calculate the remainder when (-35)/(-7) - 1 - -982 is divided by 52.
50
Let k(w) = w**3 - 6*w**2 + 8*w - 7. Let g be k(5). What is the remainder when (-6)/9*(-828)/g is divided by 18?
15
Let n be (-88)/(-6) - 2/3. Let b = -20 - n. Let w = b - -49. What is the remainder when w is divided by 8?
7
Suppose -79 = 5*z - 459. Let i = z + -48. What is the remainder when i is divided by 8?
4
Let k = 0 - -3. Suppose 0 = -4*n + 5*s + 55, -n - 27 = -3*n + k*s. Let o(j) = 11*j**2 - j + 1. Calculate the remainder when o(2) is divided by n.
13
Let t(i) = i**2 - 2*i - 4. Let l = -2 + -10. Let z = -16 - l. Calculate the remainder when 78 is divided by t(z).
18
Let z(h) = 53*h**3 - 2*h**2 + 3*h. What is the remainder when z(1) is divided by 3?
0
Let v = 101 + 0. Let m = 44 + -27. Calculate the remainder when v is divided by m.
16
Suppose 6*z - 422 = 412. What is the remainder when z is divided by 59?
21
Suppose 0*m - 5*m - 4*a + 62 = 0, -3*m + 4*a = -18. Calculate the remainder when 34 is divided by m.
4
Suppose -468 = -5*b - 4*a, 294 = 3*b - 2*a - 0*a. Let m = b + -32. Calculate the remainder when m is divided by 13.
12
Let z = -234 - -492. Calculate the remainder when z is divided by 52.
50
Suppose 4 = -4*r + 24. Calculate the remainder when 25 is divided by ((-234)/45)/((-2)/r).
12
Let n(r) = r**3 + 4*r**2 - 3. Suppose -15*j = -108*j + 3720. Calculate the remainder when j is divided by n(-3).
4
Suppose 0*x - 22 = -x. Suppose -3*u + 9 = 27. Let c = 6 - u. Calculate the remainder when x is divided by c.
10
Suppose -96 - 127 = -3*h - 5*p, 20 = 4*p. Suppose 0 = -3*x - 0*x + 51. What is the remainder when h is divided by x?
15
Suppose 0 = -5*k + 12*k - 1057. Let h = k + -72. Suppose -40 = -w - w. Calculate the remainder when h is divided by w.
19
Let w be -2 + (4 - 2/(-2)). Let c(x) = w*x**2 + 4*x**2 + 5*x - 8 - 6*x**2. What is the remainder when 14 is divided by c(-7)?
2
Suppose 0 = -2*r + 2*k + 78, -4*k - 171 = -4*r - 3*k. Calculate the remainder when 349 is divided by r.
41
Let c(b) = -b**2 + b + 5. Let y be c(0). Suppose -147 = -5*m + h, 4*m = y*h - 6*h + 123. Let v(x) = 6*x + 21. Calculate the remainder when v(6) is divided by m.
27
Let s(u) = -16*u**2 + u. Let v be s(1). Let y = -8 - v. Calculate the remainder when 30 + 2 + -5 + 5 is divided by y.
4
Suppose -4 - 2 = -2*b. Suppose 5*q = -5*g + 235, 0 = -0*q + b*q + 3. Let r = g - 13. What is the remainder when r is divided by 1