t v(x) = 5*x**2 + 2. Let j(i) = 4*i**2 - i + 1. Suppose 13 + 2 = -5*k. Let q(d) = k*v(d) + 4*j(d). What is the remainder when q(-5) is divided by 23?
20
Let n be (4 - 2) + 0 - (-7 - 6). Suppose -4*h - n = -147. Calculate the remainder when h is divided by 4.
1
Let i be 33/2*18/(-27). Let f be ((-5)/(-4))/(i/(-44)). Suppose f*n = 9*n - 216. What is the remainder when n is divided by 14?
12
Let b(n) = -6*n**2 - 114*n - 32. What is the remainder when b(-17) is divided by 44?
40
Let d(w) = -w**3 - 11*w**2 - 6*w + 5. Let o be d(-9). Let b = -85 - o. Calculate the remainder when 89 is divided by b.
17
Suppose 39 = -4*o + z + 12, o - 5*z = 17. What is the remainder when 209 is divided by o/32 - (-282)/8?
34
Let f(u) = -1. Let p(r) = r - 11. Let n(y) = 5*f(y) - p(y). Let d be n(5). Calculate the remainder when 4 is divided by -3 - (-15)/(3/d).
0
Let y = -13 - -15. Suppose -3*m = -3*t - 18, -t - y*t + 12 = 3*m. Suppose -49 + 144 = m*z. Calculate the remainder when 56 is divided by z.
18
Let o = -914 + 972. Calculate the remainder when o is divided by 18.
4
Let l(g) be the first derivative of 0*g + 3 + 1/2*g**2 + 8/3*g**3. What is the remainder when l(1) is divided by 3?
0
Let x(o) = o**3 + 30*o**2 + 14*o + 159. Calculate the remainder when x(-24) is divided by 17.
15
Let f be 1*(-1)/(-1) + 2. Suppose 0 = -5*y + f*s + 46, -3*s + 45 - 3 = 3*y. Suppose 4*l - 8 = 2*l. What is the remainder when y is divided by l?
3
Suppose 7 + 9 = 4*q. Suppose -u - u = -q. Calculate the remainder when 24/9*6/4 is divided by u.
0
Let j(w) = -13*w**3 + w**2 + w. Let h(b) = -5 - 2*b**2 + 5*b + 5*b**2 - b. Calculate the remainder when h(-5) is divided by j(-1).
11
Let g(w) = 2*w**3 + 15*w**2 + 7*w - 12. What is the remainder when g(-6) is divided by 18?
0
Let h(v) = 2*v**2 + 11*v + 7. Suppose i + 3 = -5. Let q be (-12)/(-4)*i/3. What is the remainder when h(q) is divided by 12?
11
Let k(v) be the first derivative of v**3 + v**2/2 + v - 1. Suppose -a = -5*a - 12. Calculate the remainder when k(a) is divided by 14.
11
Let j(u) = u**2 + 12*u - 20. Let s(h) = -h**2 - 12*h - 1. Let n be s(-13). Let m be j(n). Let x = -1 + m. What is the remainder when 26 is divided by x?
5
Suppose 2*c = 7*c - 4*f - 10, 4*f - 26 = -c. Let x = 31 + -16. Calculate the remainder when x is divided by c.
3
Let h = -1 + 1. Suppose 0 = -2*q - a + 82, -5*q + 3*a - 4*a + 202 = h. Suppose -55 + 363 = 4*p. Calculate the remainder when p is divided by q.
37
Suppose -2*i + 7 = -3. Suppose 65 = i*z + 3*u - 180, -4*z - u = -189. Let d(c) = c**3 - 6*c**2 - 5*c + 2. Calculate the remainder when z is divided by d(7).
14
Let i = -51 - -55. Suppose 2*b = -s + 31, -1 - i = b. Calculate the remainder when 119 is divided by s.
37
Let d = 60 + -56. What is the remainder when 1*5*24 - d is divided by 17?
14
Let o be (4064/24)/(2/(-3)). Let b = 4 - 8. Calculate the remainder when o/b - (-18)/(-12) is divided by 13.
10
Suppose 2*c + 5*i = 683, -c + 138 = -4*i - 184. Calculate the remainder when c is divided by 56.
54
Suppose 3*q - 2*q - 5 = -3*x, 5*q = -20. Suppose -3*s + 36 = x*k - 2*k, 5*s - 60 = -5*k. What is the remainder when 20 is divided by s?
8
Suppose -5*p + 476 = 4*x, p = -2*p + 2*x + 290. Let d = -74 + p. Let a = 21 + -15. What is the remainder when d is divided by a?
4
Let i(x) = x**3 + 6*x**2 + 3*x + 7. Let n be i(-5). Suppose -p - 3 + 1 = -2*g, p + n = 5*g. What is the remainder when 46 is divided by p?
6
Let u(i) = 10*i**2 - 7*i + 2. Let g(a) = 3*a + 12. Let s be g(-3). Suppose -v - 3 = -21. Calculate the remainder when u(s) is divided by v.
17
Let l(x) be the third derivative of -17*x**4/24 - x**3 - 2*x**2. Suppose 8 = 4*j, 2*b - b = 4*j - 13. What is the remainder when l(b) is divided by 20?
19
Let j be (-1)/2*-5*2. Suppose j*s = 356 + 4. Suppose -d = 3*d - s. What is the remainder when 34 is divided by d?
16
Suppose 1196 = 4*q + 2*n, 5*q = -n + 2113 - 612. What is the remainder when q is divided by 34?
29
Let t(h) = 93 - 25 - 6*h - 6 - 13. What is the remainder when 25 is divided by t(7)?
4
Suppose -5*w + 150 = 4*c, 3*w - 31 - 59 = -2*c. Calculate the remainder when 118 is divided by w.
28
Let d be 0 + 1 - (-1705)/((-30)/(-6)). Suppose -5*y - 7 = -d. Calculate the remainder when y is divided by 14.
11
Let j(d) = -d**3 + 4*d**2 + 4*d + 5. Let t be j(6). Let v = t + 58. Calculate the remainder when 27 is divided by v.
12
Let o = 144 + -2. Calculate the remainder when o is divided by 3.
1
Suppose 19*l + 14*l = 627. What is the remainder when 57 is divided by l?
0
Suppose 55 = 3*l - 131. What is the remainder when 240 is divided by l?
54
Let u(q) = -q**2 - q - 1. Let b be u(-2). Let j = 19 + b. Let n(i) = 3*i**2 + 31*i + 81. What is the remainder when n(-9) is divided by j?
13
Let a(p) = p**2 - 5*p + 14. Let c be a(6). Let f(y) = -2*y**2 + 43*y - 47. Calculate the remainder when 38 is divided by f(c).
12
What is the remainder when 33 is divided by (0 - 5) + -6 + (-5 - -19)?
0
Let z = -8 + 14. Let w(k) = k**2 - 6*k + 5. What is the remainder when 22 is divided by w(z)?
2
Suppose -289*m - 162 = -291*m. Calculate the remainder when m is divided by 12.
9
Suppose 4*s + 287 - 567 = -4*n, 0 = -3*n - 5*s + 218. Calculate the remainder when 651 is divided by n.
57
Let r = 134 + -131. Suppose -2*k = -r*j - 5*k + 51, 3*j + 4*k = 51. Calculate the remainder when j is divided by 6.
5
Suppose r - 10 - 7 = -3*i, 31 = 3*r + 4*i. What is the remainder when 90 is divided by (-5 + (r - 4))*(-23)/4?
21
Calculate the remainder when 69 is divided by (1062/(-15))/(-2) - (-36)/60.
33
Suppose -3*t = t + 20, -4*t = 5*u + 5. Let c(w) = 2*w**3 + w**3 - 4*w**3 + u*w**2 - 4*w**2 + 3*w. What is the remainder when 24 is divided by c(-3)?
6
Suppose -4*c + 3*c - 3*d - 24 = 0, 0 = d + 5. Let l be 1/(-3) + (-93)/c. Suppose -m + l = -12. What is the remainder when 85 is divided by m?
19
Let k(l) = 2*l**2 + 8*l + 6. Let x be k(-3). Suppose x - 26 = -w. What is the remainder when 49 is divided by w?
23
Let i(j) = j**2 + 6*j + 14. Let t be ((-154)/35)/((-2)/30). Suppose -p = -t + 27. What is the remainder when p is divided by i(-6)?
11
Suppose -5520 = -35*o + 30*o. What is the remainder when o is divided by 27?
24
Suppose -15*q - 1494 + 4029 = 0. Calculate the remainder when q is divided by 90.
79
Let y(u) = 15*u + 7. What is the remainder when 292 is divided by y(2)?
33
Suppose 41*p - 33*p = 1624. What is the remainder when p is divided by 16?
11
Let r = -11 - -5. What is the remainder when 140 is divided by 51 - 2/(-4)*1*r?
44
Let s = 22 - 10. Suppose -9*u - 42 + 132 = 0. Calculate the remainder when u is divided by 16/s*(-1 - -4).
2
Let c = 90 + -102. Calculate the remainder when (2/(-6))/(1/(-69)) is divided by c/(-3) - 2 - -2.
3
Suppose 2*d - 5 = -15. Let c(s) = -s + 15. What is the remainder when 32 is divided by c(d)?
12
Let b be (-1)/1*325/(-5). Suppose 0 = 3*q - 3*p - 87, -3*q + 5*p + b + 22 = 0. What is the remainder when 86 is divided by q?
28
Suppose 0 = 14*l - 7*l - 3115. What is the remainder when l is divided by 64?
61
Let l(f) be the third derivative of f**4/3 + 7*f**3/3 + 2*f**2. Let r be l(9). Let y = -52 + r. What is the remainder when 134 is divided by y?
32
What is the remainder when 576 is divided by -127*(1 - 2) + -11?
112
Suppose 0 = 3*w - 5*q + 63, -4*w - 2*q - 2*q = 116. Let y = w + 33. What is the remainder when 19 is divided by y?
5
Let q be 55*(0 + 1) - 3. Suppose q*r = 57*r - 365. Calculate the remainder when r is divided by 15.
13
Let y = 39 + 285. Calculate the remainder when y is divided by 25.
24
Let l = -313 + 329. Calculate the remainder when l is divided by 10.
6
Suppose -q + 4*t + 181 = 4*q, -3*q + 103 = -t. What is the remainder when 173 is divided by q?
8
Suppose -2*u - 4*h + 46 = -286, 0 = 5*h - 15. Suppose -m = b - 42, m - 3*m = -3*b + 121. What is the remainder when u is divided by b?
37
Suppose -27*r + 751 = -572. Suppose 5*a - 34 = 56. What is the remainder when r is divided by a?
13
Let w(g) = 13*g**2 + 20*g + 35. Suppose 0*b = 5*q - 3*b - 66, q - 5*b = 0. Suppose -21 = -3*y + q. What is the remainder when w(-2) is divided by y?
11
Suppose -5*t - 80 = -6*t. Suppose 6*h = h - 3*q + 70, 5*h + q = t. Calculate the remainder when 48 is divided by h.
14
Suppose 5*u + 5*r - 200 = 0, 11*u - 10*u - 56 = -5*r.