at is the remainder when x(17) is divided by 17?
14
Let c(v) be the first derivative of -2*v**2 - 4*v - 18. What is the remainder when 60 is divided by c(-5)?
12
Let i be -2 - -6 - (-16)/(-4). Suppose i*a + a + 2*v = 19, 0 = a + v - 23. Calculate the remainder when a is divided by 15.
12
Suppose -5*b - 3*u - 30 = 0, -b = -3*u - 14 + 2. Let y be (-12)/b*(-6)/(-8). Let i(m) = m**3 - 3*m**2 + 5. What is the remainder when 24 is divided by i(y)?
4
Suppose 5 - 309 = -8*v. What is the remainder when v is divided by 1/(-2) - 58/(-4)?
10
Let z = -29 - -29. Suppose 0 = -z*c + c - 25. Calculate the remainder when c is divided by 9.
7
Suppose -3*i - 5*v = -55, 2*i + 2*v = 6*v. Calculate the remainder when 77 is divided by i.
7
Suppose -100 + 25 = -5*y. Let s = 491 - 466. What is the remainder when s is divided by y?
10
Let j = 613 + -280. Suppose 5*p + 0*p - 3*z - j = 0, -3*p + 187 = -5*z. Calculate the remainder when p is divided by 10.
9
Let l = 7 - 3. Suppose 0 = -4*r - l, -n - 4*r = -r. What is the remainder when 13 is divided by n?
1
Let r(w) = -w**3 + 15*w**2 - w + 17. Let d be (288/(-5))/(-4) - 33/(-55). What is the remainder when r(d) is divided by 2?
0
Suppose -d - 2*d + 12 = 0. Suppose 5*t + 5*t = 70. Suppose -2*a - t = -3*a. What is the remainder when a is divided by d?
3
Suppose 5*s = -d + 33, -3*s = 3*d - 20 - 31. Let i = 2 + 0. Suppose f + i*j = 31, -40 = -f - 0*j + j. Calculate the remainder when f is divided by d.
11
Let s = 41 - -4. Let n = 44 - 28. What is the remainder when s is divided by n?
13
Let a be 10/4 - 9/6. Suppose 4*k - 31 - a = -4*z, 2*z = 2*k - 20. Suppose 2*i - k - 1 = 0. Calculate the remainder when i is divided by 4.
1
Suppose 78 = 4*v - 2*q, 4*q - 5 = -1. Suppose -5*f + 122 = 4*d - 42, d = 1. What is the remainder when f is divided by v?
12
Suppose -x + 7*x - 4*x = 0. Suppose x = -3*i - 4*l + 53, 5*i + 0*l - 100 = 5*l. Calculate the remainder when 93 is divided by i.
17
Let z(q) = -3 - 3 + 0*q + 2*q**2 - q + 7. Let l = -149 + 262. Calculate the remainder when l is divided by z(4).
26
Let p be (8/(-5))/(2/(-20)). Calculate the remainder when 8/p - 145/(-2) is divided by 19.
16
Let m = 260 - 249. Calculate the remainder when 31 is divided by m.
9
Let x(r) = 0*r + 7*r + 3*r**2 - 4*r**2 - 5 - 20*r. Let h(v) = 2*v**2 + 4*v - 3. Calculate the remainder when x(-6) is divided by h(2).
11
Let l(q) = q**2 - 11*q - 12. Let m be l(12). Let o = -108 + 207. Suppose 3*f = -m*f + o. Calculate the remainder when f is divided by 9.
6
Let k = -226 - -532. Suppose b - k = -3*c, -b - 91 = -c - 5*b. What is the remainder when c is divided by 15?
13
Calculate the remainder when 73 is divided by (-156)/(-7 + 1) - 6.
13
Let k = -109 - -131. What is the remainder when 371 is divided by k?
19
What is the remainder when (2 + -2 - -2)/((-2)/(-65)) is divided by 22?
21
Suppose 40*y = 44*y - 24. Let r(k) = k**3 + 8*k**2 + 7*k. Let t be r(-7). Suppose t = 2*c + 2*c - 8. Calculate the remainder when y is divided by c.
0
Let h(x) = x**3 - x**2 - x + 6. Let v be 8*(1 - -2)/6 - 1. Calculate the remainder when 39 is divided by h(v).
18
Suppose t = 4*t. Suppose -2*y - 5*j + 24 = t, 6*y - 83 = y - j. Let p = 136 - 69. What is the remainder when p is divided by y?
16
Let w(u) = u**3 - 26*u**2 + 54. What is the remainder when 173 is divided by w(26)?
11
Let i(j) = -9*j**3 + 2*j**2 + 5*j + 4. Suppose 5*n = 2*x + x - 1, 4*x = 2*n - 8. Calculate the remainder when i(n) is divided by 2 + (-51)/(-5 + 2).
17
Suppose 5*w - 118 - 592 = 0. Let s(n) = 11*n**2 + 105*n - 218. Calculate the remainder when w is divided by s(2).
34
Let k = 23 + -15. Let n(q) = q**3 - q**2 + 2*q - 1. Let r be n(1). Calculate the remainder when (r - 2)*60/(-3) is divided by k.
4
Let t = -2 + 0. Let q be -6*(10/6 + t). Suppose 0*l - q*l + 10 = 0. What is the remainder when 8 is divided by l?
3
Let o(u) = -u**3 - 6*u**2 - 5*u + 3. Let z be o(-5). Let t(a) be the first derivative of a**2/2 + 4. Calculate the remainder when t(z) is divided by 2.
1
Let u(r) = -r**2 - 10*r - 4. Let y be u(-6). Let t = -15 + y. What is the remainder when 18 is divided by t?
3
Let f = 311 - 296. Let x(l) = -l**2 + 4*l + 2. Let a be x(6). What is the remainder when f is divided by 16/a*(-4 + -1)?
7
Suppose 6 = 9*x - 6*x. What is the remainder when (12 - 13)*((x - 37) + -2) is divided by 19?
18
Suppose -5*u = -0*u + 3*b - 127, 3*u - 3*b - 57 = 0. What is the remainder when 45 is divided by u?
22
Let a = -825 + 875. What is the remainder when 92 is divided by a?
42
Suppose 0 = -4*p - 16, -2*z = -5*p - 33 + 7. Suppose 5*b + 6*y - z*y - 898 = 0, -12 = 3*y. Calculate the remainder when b is divided by 46.
44
Suppose 0 = 4*i - 4*x, -3*x - 4 + 0 = -4*i. Calculate the remainder when 1 - (-2 - (-1)/(-1)) is divided by i.
0
Let j(r) be the second derivative of 0 - 3/2*r**2 + 1/6*r**3 - r. Calculate the remainder when j(6) is divided by 2.
1
Let c be 1*-2 - (-54)/6. Suppose 0 = -q + 5*a - 17, c + 0 = 5*q - 2*a. Suppose h = 22 + q. What is the remainder when h is divided by 14?
11
Suppose 8*q = -2*q + 350. Let s(n) = -n**3 - 3*n**2 - 3*n + 3. Suppose 5*i + 4 = -11. Calculate the remainder when q is divided by s(i).
11
Suppose -10 = -5*w, 1558 = -5*u + 7*u + 3*w. What is the remainder when u is divided by 41?
38
Suppose -q = h, 1 = -5*h - 19. What is the remainder when 24 is divided by (6/(-8))/(245/(-60) + q)?
6
Let r = 0 - -2. Suppose 3*n + r - 5 = 0. Suppose y = n + 4. What is the remainder when y is divided by 2?
1
Suppose -3*t = -84 + 24. Let f be (-65)/15 - (-2 + (-8)/(-3)). Let r = f + t. What is the remainder when r is divided by 6?
3
Let i(y) = y**3 - 5*y**2 + 7*y - 8. Let c be i(4). Suppose 0 = -x - 3*x - 2*r, -5*r = c*x. Suppose 4*j = 12 - x. What is the remainder when 9 is divided by j?
0
Suppose 0 = 10*a - 5*a + 275. Let j = -23 - a. Suppose -9*m + 10*m - j = 0. What is the remainder when m is divided by 17?
15
Let a(g) = g**3 - 10*g**2 - 6*g + 93. What is the remainder when a(10) is divided by 7?
5
Let k(a) = -43*a + 327. Calculate the remainder when 826 is divided by k(6).
67
Suppose -2*l - 202*b + 31 = -199*b, -2*l + 4*b = 4. Let u = 30 + 9. What is the remainder when u is divided by l?
7
Suppose -3*q = -9 + 24. Suppose -6*n + 3*n = -2*w + 18, 4*w - 32 = 4*n. Calculate the remainder when (-103)/q - 2/(-5) is divided by w.
3
Let s(g) = 2*g**2 - 6*g + 20. Let y(j) = j**2 - 5*j + 19. Let v(t) = 2*s(t) - 3*y(t). Calculate the remainder when v(5) is divided by 8.
7
Suppose m + 4*a = 129, -3*a = -12 + 9. Suppose 125 = 4*u + f, 0*f - 58 = -2*u - 2*f. Calculate the remainder when m is divided by u.
29
Let n be (8 + -5)/((1 + 1)/6). Let d(c) = c**3 - 7*c**2 - 13*c + 8. Calculate the remainder when d(n) is divided by 18.
17
Suppose 183 + 169 = 22*n. What is the remainder when 34 is divided by n?
2
Suppose -11 = -4*k - 5*i, -3*k - 4*i = 6 - 14. What is the remainder when 33 is divided by k?
1
Let w(r) be the first derivative of -5*r**2 - 10*r - 19. Calculate the remainder when 39 is divided by w(-3).
19
Suppose 7*y = -4*y + 6*y. Suppose -5*f + 4*f + 17 = y. Calculate the remainder when f is divided by 9.
8
Let d(h) = 44*h**2 + 4*h. Let i(p) = 45*p**2 + 5*p. Let y(s) = 5*d(s) - 4*i(s). What is the remainder when y(1) is divided by (-24)/(-9) + -1 - (-1221)/99?
12
Suppose 5*t - 2*d = -3*d + 1440, -4*d + 269 = t. Let f = -191 + t. What is the remainder when f is divided by 25?
23
Let q = -9 - -11. Let c be (-6)/9*12/q. What is the remainder when 27 is divided by (c/(-8))/(1/30)?
12
Let b(f) = -f**2 + 11*f + 1. Suppose -o + 2 = 0, -2*j + j + 15 = 5*o. Calculate the remainder when 90 is divided by b(j).
28
Let k(a) = -3*a + 14. Let c be k(6). What is the remainder when 19 is divided by c/(-8)*-6 - -10?
5
Suppose 0 = -5*k + 4*f + 10, -2*f = k + 3*f - 31. Let s(t) = t**3 - 6. Let y be s(0). Calculate the remainder when (-92)/y*(-15)/(-10) is divided by k.
5
Let a(t) = -32*t - 81. What is the remainder when a(-12) is divided by 8?
7
Suppose 14*t = -418 + 124. Calculate the remainder when 27 is divided by ((-24)/t)/((-11)/(-154)).
11
Suppose i = 3*y - 180, 6 = -0*i + 2*i. Let j be (57 + 0)*24/9. Suppose 4*k + 8 - j = -4*h, -2*h = -4*k + 114. What is the remainder when y is divided by k?
30
Suppose 53*w + 1188 = 62*w. What is the r