e the third derivative of g**4/6 - 11*g**3/6 + 11*g**2. What is the remainder when i(12) is divided by 20?
17
What is the remainder when 4211/11 + 50/275 is divided by 43?
39
Let f(b) = -47*b - 222. What is the remainder when 414 is divided by f(-5)?
11
Let k(w) = -8*w + 3 + 3*w + 6*w**2 + 11*w**3 + 3*w**3 - 15*w**3. Let q be (2 + -8 + 1)*-1. What is the remainder when 7 is divided by k(q)?
1
Calculate the remainder when 32 is divided by 266/16 + 120/320.
15
Suppose s - 15 = -12. Suppose -31 - 14 = -s*d. Suppose -y - 2*y = -d. Calculate the remainder when 13 is divided by y.
3
Let d = -347 + 416. What is the remainder when d is divided by 36?
33
Let h(z) = 7*z - 6. Let q(m) = -8*m + 7. Let n(r) = 5*h(r) + 4*q(r). Let c be n(1). Suppose c = -5*i + 221. Calculate the remainder when i is divided by 12.
8
Let u be (4 - -2)*(-2)/(-4). Let z = u + 4. Suppose -3*i + 2*i = -z. What is the remainder when 13 is divided by i?
6
Suppose -4*f + 1 + 27 = 0. Suppose -f = 4*l - 3*l. Let t(s) = -s**3 - 7*s**2 + 7. Calculate the remainder when t(l) is divided by 2.
1
Suppose -c = -5*y + c + 52, -y + 2*c + 4 = 0. Calculate the remainder when 93/2 - (-2)/4 is divided by y.
11
Let w = 631 - 560. What is the remainder when w is divided by 16?
7
Suppose -35 = -5*x + 3*v, 6*x - 3*x = v + 17. Suppose 3*h = -g + 1, 1 = -3*g - x*h + 4. Suppose -g = j - 14. What is the remainder when 38 is divided by j?
12
Let u(q) = 6*q**2 - 2*q. Let n be u(4). What is the remainder when (n/(-14))/((-6)/21) is divided by 5?
2
Let i(f) = f**2 - 8*f + 11. Let p be i(5). Let r be (-1)/p - (-6)/8. Let c(t) = 5*t - 1. What is the remainder when 11 is divided by c(r)?
3
Suppose -185 + 200 = 3*c. Suppose -w + 5 = v - 1, c*w = 2*v + 44. Calculate the remainder when 10 is divided by w.
2
Let b(l) = -l**2 - 16*l - 8. Let q be b(-14). Suppose 4 = -2*g + q. Calculate the remainder when 23 is divided by g.
7
Let t(a) = a**2 + 4*a - 5. Let b be t(-6). Suppose -b*c + 101 = -74. Suppose 0 = 5*s - 33 - 32. Calculate the remainder when c is divided by s.
12
Suppose 29*g - 30*g - h = -145, 441 = 3*g + h. What is the remainder when g is divided by 74?
0
Suppose -20*x = -22*x. Suppose 5*s + 10*s - 30 = x. Calculate the remainder when 9 is divided by s.
1
Suppose -60 + 460 = 5*q. Suppose 6*c + 328 + q = 0. Calculate the remainder when c*((-4)/(-16) + -1) is divided by 18.
15
Let x(p) = -3*p**2 + 21. What is the remainder when 437 is divided by x(0)?
17
Suppose 8*t - 19 = 13. Let f(a) = a**3 - 2*a**2 - 2*a - 5. What is the remainder when f(t) is divided by 6?
1
Suppose -9 = -3*a - 42. Let c = a + 14. Calculate the remainder when 13 is divided by c.
1
Suppose 28 = 5*h - h. Let c = h - 1. Calculate the remainder when 15 is divided by c.
3
Let h = 8 - -8. Suppose -11 - 1 = 3*r, -3*r + 33 = t. Calculate the remainder when t is divided by h.
13
Suppose -4*g + 16 = j + j, 0 = -5*j - 2*g + 72. What is the remainder when 17 is divided by j?
1
Let t(l) be the third derivative of 0 + l**2 - 1/12*l**4 - 1/60*l**5 + 0*l**3 + 0*l + 1/120*l**6. Calculate the remainder when 35 is divided by t(3).
11
Calculate the remainder when 31 is divided by 8/(-15*2/(-6))*10.
15
Suppose -291 = -3*d - 147. What is the remainder when 1485 is divided by d?
45
Suppose 0 = 3*t - 2*f + 3 + 1, -4*f + 8 = 3*t. Let m(l) = -l + 7. Let d be m(t). Suppose -d*g + 166 = 12. What is the remainder when g is divided by 8?
6
Let b(p) = -p**3 - 12*p**2 + 14*p - 9. What is the remainder when b(-14) is divided by 48?
43
Suppose 0 = -h + 4*u + 26, 63 - 16 = 2*h - 3*u. Let t(m) be the third derivative of -m**4/24 + m**3 - m**2. What is the remainder when h is divided by t(0)?
4
Suppose 2*o + 0 + 4 = 2*b, 3*o - 4*b + 10 = 0. Let f be 10/4 - 324/24. Let g = -8 - f. Calculate the remainder when g is divided by o.
1
Calculate the remainder when 8 + 68 + 36/6 is divided by 26.
4
Let z(t) = -t - 4. Let r be z(-8). Let a(u) = 4*u - 5. Let h be a(r). Suppose -4*f + h = -3*f. What is the remainder when f is divided by 4?
3
Let g(z) be the second derivative of z**4/12 - 7*z**3/3 + 11*z**2/2 - 2*z. Calculate the remainder when g(16) is divided by 11.
10
Let t(x) = 2*x**2 - 6*x - 6. Let a be 12/(-8)*((-10)/6 - -3). Let g = a + 7. Calculate the remainder when t(5) is divided by g.
4
Let x(p) = 41*p + 226. Suppose -5*j - 4*o = -21, 2*j - 4*o - 24 = -2*j. Let u = 18 - j. Calculate the remainder when x(-4) is divided by u.
10
Let y be 4/(1 - -3) - -28. Let t = y - -29. Suppose 6*c - 4*c = 30. What is the remainder when t is divided by c?
13
Calculate the remainder when 235 is divided by -1*(-14 + 0/(5 + -8)).
11
Let h be 2/8*56/2. Suppose -h = 4*q - 79. What is the remainder when 49 is divided by q?
13
Let h(x) = 15*x + 0 - 35*x**2 + 5 + 37*x**2. Let o = 16 + -28. What is the remainder when h(o) is divided by 29?
26
Suppose 2*d + d = 15. Suppose -4*v + 60 = 7*j - 5*j, -2*v = -j - 42. What is the remainder when v is divided by d?
3
Suppose -2*r - 43 = -3*r. Suppose -6*g = -1001 - 13. Calculate the remainder when g is divided by r.
40
Suppose 34 = 2*y - 22. What is the remainder when 403 is divided by y?
11
Suppose 0 = -5*z + 4*u + 745, -z - 4*u - 165 = -2*z. Calculate the remainder when z is divided by 50.
45
Suppose 0*d - 4*d + 4 = 0. Suppose 3*g = 9, 5*i = 2*g + 3 + d. Suppose 5*b + 2*y + 2*y = -2, -i*y = 3*b. What is the remainder when 2 is divided by b?
0
Suppose 3*j + n - 28 = 0, 4*j - 5*n - 3 - 9 = 0. Suppose -j*x = -7*x - 5. Suppose -g + x*g - 80 = 0. What is the remainder when g is divided by 8?
4
Suppose -2*o - 3*o = 20. Calculate the remainder when 47 is divided by (276/o)/(-3) - -1.
23
Let l = 4 + -6. Suppose -19*i + 17*i + q + 42 = 0, -5*q - 49 = -3*i. What is the remainder when (-34)/(-1*l/(-4)) is divided by i?
22
Suppose 10*d = 4*d + 120. Suppose 3*c = 5*m + 193, 5*c = -8*m + 3*m + 255. Calculate the remainder when c is divided by d.
16
Let w = 171 + -134. What is the remainder when 129 is divided by w?
18
Let p = -153 + 179. Suppose -5*h = -0*l - 5*l + 85, -3*h = -l + 19. Calculate the remainder when p is divided by l.
10
Let l(w) = w**2 - 13*w - 6. Let k be l(21). Suppose 9 = -k*q + 165*q. Calculate the remainder when q is divided by 3.
0
Let a = -3644 + 3661. Suppose 51 = 3*q - 48. What is the remainder when q is divided by a?
16
Suppose 0 = -11*f + 16*f - 30. Suppose 2*g - 8*g = -150. Calculate the remainder when g is divided by f.
1
Suppose 1992 + 2648 = 10*q. What is the remainder when q is divided by 15?
14
Let z(i) be the third derivative of i**5/60 + 7*i**4/24 + 11*i**3/3 + 21*i**2. What is the remainder when 32 is divided by z(-5)?
8
Let i = 152 + -109. Suppose -5*x + 4*y + i + 104 = 0, x - 25 = 3*y. What is the remainder when 80 is divided by x?
18
Let d = 39 - 34. Let y(g) be the second derivative of g**3/6 + 5*g**2 + 2*g. Calculate the remainder when 42 is divided by y(d).
12
Let a(h) = 4*h**3 - 3*h**2 + 3*h - 4. Suppose 17 = 5*n + 7. Calculate the remainder when 86 is divided by a(n).
20
Let y = -39 - -44. What is the remainder when 23 is divided by y?
3
Let o be 3/(-4)*2*(-100)/30. Suppose -o*f = 4*s - 39, 0*s + 8 = -2*s. What is the remainder when 76 is divided by f?
10
Suppose 60 = 2*n + 36*w - 31*w, 5*w + 90 = 3*n. Suppose 0 = k + b - 20, 4*k + 5*b = 1 + 83. What is the remainder when n is divided by k?
14
Suppose 5*b + a = 40, -5*b + 3*b + a + 16 = 0. Suppose b*j = -6*j + 308. Calculate the remainder when 25 is divided by j.
3
Suppose -4*k - 4*j + 4538 = 1242, -j = -4. What is the remainder when 65 is divided by -3*2/14 + k/35?
19
Suppose 0 = -2*t + 5*k + 185, 5*k - 685 = -5*t - 170. Calculate the remainder when t is divided by 20.
0
What is the remainder when 473 is divided by (18 - -4) + (-3)/(-1)?
23
Let d = -276 + 289. Let f(q) = -q**2 - 5*q - 2. Let v be f(-3). Let w = d - v. Calculate the remainder when w is divided by 2.
1
Suppose -a + 40 = 5*x, x + 4*a = a + 8. Let b(v) = -v**2 + 8*v + 5. What is the remainder when 18 is divided by b(x)?
3
Let b(s) = 7*s**2 + 4*s - 19. What is the remainder when b(-8) is divided by 105?
82
Let g(r) = 2*r**2 + 8*r + 9. Let f(x) = x**3 - 14*x**2 - 170*x + 29. Calculate the remainder when f(22) is divided by g(-6).
29
Let n(v) = v + 9. Let z be n(2). Suppose 0 = z*s - 10*s - 13. What is the remainde