 l(i) = i**2 + 6*i - 93. What is the remainder when l(-20) is divided by 47?
46
Calculate the remainder when (17 - 16)/((-6)/(-348)) is divided by 45.
13
Suppose h + 3*s - 49 = 66, h + 4*s = 114. Let v = -73 + h. What is the remainder when v is divided by 16?
13
Let w(k) = 2*k + 14. Let j be w(-6). Suppose -2*a + 21 = j*a + i, 16 = 3*a + i. Calculate the remainder when 16 is divided by a.
1
Let d(m) = -34*m - 197. Calculate the remainder when d(-38) is divided by 8.
7
Let y = 27 + -11. Let v(m) = m. Let o(b) = -5*b**2 - 8*b - 1. Let t(z) = -o(z) - 3*v(z). What is the remainder when t(-4) is divided by y?
13
Suppose 3*g - g = 20. Let z(a) = 10*a**2 + 9. What is the remainder when z(2) is divided by g?
9
Let l = -17 + 31. Suppose 52 + 42 = 2*x. Calculate the remainder when x is divided by l.
5
Suppose -2184*v + 2171*v = -1807. What is the remainder when v is divided by 12?
7
Let v(r) = -2*r**3 - 14*r**2 + 6*r - 28. Calculate the remainder when v(-8) is divided by 20.
12
Suppose 4*p - 5*z - 268 = 0, z = p - 3*p + 120. Suppose -4*a + 2*v = -p, -1 = 5*a - 4*a + 5*v. Calculate the remainder when a is divided by 4.
2
Let i(y) = -y**3 + 8*y**2 - 8*y - 3. What is the remainder when 533 is divided by i(3)?
11
Suppose -12*r = -8*r - 72. Let t be (-19 + 3)*117/(-12). Suppose -5*z + 109 + t = 0. What is the remainder when z is divided by r?
17
Suppose -a - 10 = -2*j - 4, a = -3*j + 14. Suppose 0 = -a*u + 3*u - 2. Let r = -2 + 8. Calculate the remainder when r is divided by u.
0
Suppose 3*l = -2*l - 10, 2*q = -4*l + 74. Suppose 5*d + 105 = -0*d. Calculate the remainder when q is divided by (d/4)/((-15)/40).
13
Let o = 108 - 103. Suppose -2*t + 101 = -3*b - 99, 5*t + o*b = 550. Calculate the remainder when t is divided by 36.
34
Let j = 128 + -29. Suppose 0 = -3*l - 48 - j. Calculate the remainder when 42 is divided by 7/l + (-212)/(-14).
12
Suppose 5*f - 50 = u, 0*f = 2*f - 4. Let d = u - -45. Calculate the remainder when 14 is divided by d.
4
Let m = 47 - 44. Suppose -m*k - 9 = -27. Calculate the remainder when 10 is divided by k.
4
Suppose m + 2*a - 100 = 0, 0*m + 3*a + 207 = 2*m. What is the remainder when m is divided by 15?
12
Suppose 11*j - 8 = 9*j. Let c(x) = -8*x - 13. Let k be c(-9). Suppose 0 = -n - 1, 5*m - 4*n - k = 0. What is the remainder when m is divided by j?
3
Suppose 757 = 5*n + 292. Calculate the remainder when n is divided by (4 + (-52)/3)*54/(-15).
45
Let c = 2340 - 1916. Calculate the remainder when c is divided by 36.
28
Suppose 26 = 15*l - 2*l. Suppose -1 - 37 = -l*z. What is the remainder when z is divided by 8?
3
Let o(p) = -2*p**3 + p**2 - 2*p - 2. Let n(q) = q**3 + 1. Let t(s) = 3*n(s) + o(s). Calculate the remainder when ((-6)/(-8))/((-12)/(-32)) is divided by t(-2).
0
Suppose 6*i - 7 = 5*i. Suppose 45 = -i*q + 346. What is the remainder when q is divided by 23?
20
Suppose -4*b + 263 = 5*q - 5*b, 0 = -q - 3*b + 43. Suppose 63 = 5*m - q. What is the remainder when m is divided by (-2 + -11)*(-1 + 4 - 4)?
10
Suppose 0 = h - 4 - 8. Let c be 5/(-20) + (-21)/h. Let w = c + 23. Calculate the remainder when w is divided by 11.
10
What is the remainder when (-10)/((-350)/4081) - 4/(-10) is divided by 40?
37
Let z(v) = -3*v - 25. Let r(a) = 12*a - 7. Let u(i) = 6*i - 3. Let h(l) = 4*r(l) - 7*u(l). Calculate the remainder when h(10) is divided by z(-13).
11
Let j(y) = 28*y - 2. Suppose 2*b + 4*n - 32 = 0, -2*b - 3*n = -0*n - 27. Let r = 25 - b. Calculate the remainder when j(2) is divided by r.
16
Let u(z) = -11*z - 25. Let v be u(-8). Suppose 0*d + v = 3*d. What is the remainder when d is divided by 6?
3
Let j be (1/2)/(3/(-318)). Let a = -37 - j. Calculate the remainder when 46 is divided by a.
14
What is the remainder when 359 is divided by 39 + 9*20/(-30)?
29
Let y be ((3 - -2) + -1)/2. What is the remainder when 64 is divided by 13/(5*y/10)?
12
Let v = 6 + 0. Suppose -4*l + v = -26. Let h(x) = -x**3 - 6*x**2 + 11*x + 42. What is the remainder when h(-7) is divided by l?
6
Let q(u) = 5*u + 5. Let o be q(-6). Let w be (40/o)/((-6)/15). Suppose f = -5*v - w, 0 = -2*f - 4*v + 6 + 10. Calculate the remainder when 46 is divided by f.
14
Let m(n) be the second derivative of n**4/12 + n**3/6 - 3*n**2 + 7*n. Let o be m(4). What is the remainder when 45 is divided by 3 + (-1 - o*-1)?
13
Let t = 319 + -309. Let y(m) = -8*m - 20. Let w(g) = -4*g - 10. Let o(h) = 13*w(h) - 6*y(h). What is the remainder when o(-7) is divided by t?
8
Let x = -45 + 65. Let v(o) = o**2 - 21*o + 39. Calculate the remainder when 94 is divided by v(x).
18
Let b = -437 - -481. Calculate the remainder when 103 is divided by b.
15
Suppose -3*y - 27 = -138. Calculate the remainder when y is divided by 28/4 - 6/((-4)/2).
7
Let r be (2 + 15/(-10))*2. Let l(f) = 13*f**2 + f - 1. What is the remainder when 25 is divided by l(r)?
12
What is the remainder when (-41)/(7667/34) + 752/22 is divided by 20?
14
Let z(f) = -2*f + 2. Let d be z(-3). Suppose w - t = -w + 44, 0 = -2*w - 4*t + 64. Let v = w - d. What is the remainder when 63 is divided by v?
15
Let f(d) = -d**2 - 11*d + 11. Let v(j) = -j**2 - 4*j + 10. Let r be v(-7). What is the remainder when 63 is divided by f(r)?
8
Calculate the remainder when 119 is divided by 3 + 10/5 + (-3 - -16).
11
Let q = -233 - -303. What is the remainder when q is divided by 15?
10
Suppose 30*h - 510 = 13*h. What is the remainder when h is divided by 25?
5
Suppose 73*y - 24*y = 20*y + 1305. Let a(w) = w**2 + w - 4. Calculate the remainder when y is divided by a(3).
5
Let p(w) = -3*w**2 + 30*w + 22. What is the remainder when 219 is divided by p(10)?
21
Suppose -3*y - 4 = w, -3*y - 14 = 2*w - 6*w. Suppose -w*a - 10 = 0, -2*j + 3*j - 2*a - 42 = 0. What is the remainder when 63 is divided by j?
31
Suppose -2*m - 9 = -3*l + 42, 2*m = -l + 17. Let h(c) = -c**3 - 4*c**2 - 5*c - 3. What is the remainder when h(-6) is divided by l?
14
Suppose -f + 0*f - 1 = 0, 0 = -5*d - 4*f + 626. Let n(b) = -6*b - 4. Let q be n(-2). Suppose -q*t = -6*t - d. What is the remainder when t is divided by 13?
11
Let d be 3704/28 - (-6)/(-21). Suppose -3*y - 5*b = -d, -y + 33 = 4*b - 18. What is the remainder when y is divided by 20?
19
Let i(w) = -5*w + 32. Let j = -1 - -6. Suppose 0 = 3*z - 19 - 17. What is the remainder when z is divided by i(j)?
5
Suppose 3*h - 3*v = 102, 3*h + 4*v - 42 = 81. Calculate the remainder when 144 is divided by h.
33
Suppose -6*s - 177 = -1377. What is the remainder when s is divided by 34?
30
Let i(k) = -14 - 6*k - 36*k**3 - 10 + 11*k**2 + 35*k**3. Suppose -2*o = 1 + 5, 49 = 4*n - 3*o. What is the remainder when 61 is divided by i(n)?
13
Let b(k) = -k**3 - 4*k**2 - 4*k + 2. Let d be b(-2). Suppose -3*c + 67 = d*c - 4*o, -43 = -3*c + o. What is the remainder when c is divided by 8?
7
Suppose 4*l + 129 + 79 = 4*a, 0 = -5*a + 3*l + 270. Let j = 109 - a. Calculate the remainder when j is divided by 14.
10
Let l(b) = 80*b + 79. What is the remainder when l(2) is divided by 74?
17
Let k = 151 - 128. Suppose 0 = -4*f + 15 + 81. Suppose -2*l + f = -0*l. What is the remainder when k is divided by l?
11
Let l = 66 - -11. Suppose -4*i - 5*t = -l, -5*i + 57 = 3*t - 36. Let f = -148 - -158. What is the remainder when i is divided by f?
8
Let d(r) = 2*r**2 - 19*r + 28. Let o = 39 - 28. What is the remainder when d(o) is divided by 21?
19
Let k = 12 + 5. Let y(r) = -2*r + 14. Let p be y(6). Suppose p*q - 96 = -6*q. Calculate the remainder when k is divided by q.
5
Let k = 5 - -3. Let w = -3 + 75. Suppose -k*h = -5*h - w. What is the remainder when h is divided by 9?
6
Let l(v) = -v**3 - 27*v**2 + 3*v + 90. What is the remainder when 125 is divided by l(-27)?
8
Let n(m) = 2*m**2 + 5*m - 199. What is the remainder when n(-15) is divided by 161?
15
Suppose -3*z = -7*z + 48. Suppose 4*v - 79 - 109 = 0. What is the remainder when v is divided by z?
11
Let i = -7 + 10. Suppose 3*k = -i*j - j + 150, -5*j + 3*k + 174 = 0. Calculate the remainder when 106 is divided by j.
34
Suppose 4*x + h = -0*h - 13, 3*x + h + 9 = 0. Let p = x - 18. What is the remainder when 5*p/(-10)*3 is divided by 9?
6
Let w be (-51127)/(-261) + (-1)/(-9). Suppose -6*c = -122 - w. Suppose 2 - 44 = -3*b. What is the remainder when c is divided by b?
11
Suppose -4*h - m + 289 = 0, -4*h + 