second derivative of i(c). Calculate the remainder when 23 is divided by v(1).
11
Let s = 70 + -40. What is the remainder when s is divided by 17?
13
Let w be 2/(-6)*18/(-3). Suppose -3*z + 2 = 8, -w*z = h - 15. Calculate the remainder when 36 is divided by h.
17
Let s(x) = x**2 + 3*x - 6. Let y be s(-5). Suppose 74 = c + d + y*d, -4*c = -4*d - 248. What is the remainder when c is divided by 22?
20
Let w(a) = -a**3 + 12*a**2 - 9*a - 8. Let l(i) = -2*i + 1. What is the remainder when w(11) is divided by l(-2)?
4
Suppose 5*d + t - 4 = 0, t - 5 = 4*d - 1. Suppose -2*s + d*s = -6. Suppose 3*r = r + 4. What is the remainder when s is divided by r?
1
Suppose 2*x = -10, 4*x - 13 = -u + 7*x. Suppose 7*a - 367 = -108. Calculate the remainder when a is divided by u/4*0 - -13.
11
Suppose -60 = -3*c - 5*a + 16, -2*c + 24 = -2*a. What is the remainder when 28 is divided by c?
11
Suppose -9 = 2*c + 3. Suppose 0 = -5*y + 4*y + 20. What is the remainder when (-940)/(-25) + c/10 is divided by y?
17
Let r = -17 + 32. What is the remainder when r is divided by 8?
7
Calculate the remainder when (2/4)/((-16)/(-544)) is divided by 6.
5
Let d(x) = -x**3 + 11*x**2 + 6*x + 2. Let q be d(11). Let y = q - 38. Calculate the remainder when y is divided by 11.
8
Suppose -2*u - 21 = -q, u = 4*u + 12. Let m = 116 - 91. What is the remainder when m is divided by q?
12
Let m(v) = v**3 - 13*v**2 + 15*v - 1. What is the remainder when m(12) is divided by 13?
9
Suppose -72 = -5*q + 43. Calculate the remainder when q is divided by 8.
7
Let d(m) = 29*m + 2. What is the remainder when 154 is divided by d(1)?
30
Let a(n) = -3*n - 53. Calculate the remainder when 2/(-3) + 226/6 is divided by a(-22).
11
Let i = -5 + 5. Suppose i = -4*x - 3*k + 75, 49 = -2*x + 5*x - 5*k. Calculate the remainder when x is divided by 10.
8
Calculate the remainder when 35 is divided by ((2 - 11) + 16)*(-20)/(-7).
15
Let z(g) = -5*g**3 - 3*g**2 - 2*g + 1. Let d be z(-2). Calculate the remainder when 48/3*(-2)/(-4) is divided by (-2)/3 + d/9.
2
Let g(w) = -w**3 + 5*w**2 - 3*w - 1. Suppose 0 = -2*x + 9 - 1. Calculate the remainder when (-23)/(-3) - (-4)/(-6) is divided by g(x).
1
Let b = -4 - -7. Calculate the remainder when 32 is divided by (-3 + -6 - b)*-1.
8
Let g(u) = u**2 + 2*u - 3. Let b(f) = -f**2 + 2*f + 1. Let w be b(4). What is the remainder when g(w) is divided by 17?
15
Let o = 9 - 5. Suppose o*t - t = 207. Calculate the remainder when t is divided by 18.
15
Suppose -g + 39 = -2*w, 0 = -4*g - 3*w - 23 + 124. Suppose -t = 13 - g. What is the remainder when 47 is divided by t?
15
Suppose -q = -5*f - 3, 5*f - 2*f - q = -1. Let o be (-2)/(2*f/3). What is the remainder when (-59)/(-3) - 2/o is divided by 10?
9
Let r(a) = -10*a + 1. Calculate the remainder when r(-3) is divided by 7 + -11 + 45/3.
9
Let f = 49 + -25. What is the remainder when f is divided by 13?
11
Let t = 214 - 89. Calculate the remainder when t is divided by 32.
29
Let f(x) = -5*x**3 - 3*x**2 + 3. Calculate the remainder when 121 is divided by f(-2).
28
Suppose 12 = -d - d. Let f(k) = 3*k**2 - 10*k - 4. Let n(m) = -2*m**2 + 9*m + 4. Let q(s) = 3*f(s) + 4*n(s). What is the remainder when 7 is divided by q(d)?
3
Let v be (-134)/(-14) + (-9)/(-21). Suppose -v*u = -8*u - 124. Suppose 0*p = -2*p + 42. What is the remainder when u is divided by p?
20
Let c = -1 - -13. Let z(q) = -4*q - 6. Calculate the remainder when z(-7) is divided by c.
10
Let o(r) = 4*r - 6. Let f be o(-5). Let d be 0/(3 + -2) + f. Let q = d + 48. What is the remainder when q is divided by 8?
6
Let j = -33 + 61. Calculate the remainder when 110 is divided by j.
26
Suppose -5*w + 62 = -w - z, w - 26 = -5*z. Calculate the remainder when 60 is divided by w.
12
Let i(d) = d**3 + 7*d**2 + 2*d - 2. Calculate the remainder when i(-6) is divided by 2/2 + 3 + 8.
10
Let z = 22 + 9. Let a = -77 + 169. Calculate the remainder when a is divided by z.
30
Let k(t) = t**2 + 11*t + 30. Calculate the remainder when 6/4*28/2 is divided by k(-9).
9
Let b(t) = 43*t**3 - 1. Suppose -54 = 2*c - 8*c. Calculate the remainder when b(1) is divided by c.
6
Let s(p) = 2*p**2 - 26*p + 14. What is the remainder when 40 is divided by s(13)?
12
Suppose 0*k - 3*s = 3*k - 9, 4*k - 4*s - 52 = 0. Suppose 7*m = 3*m + 60. Calculate the remainder when m is divided by k.
7
Let w(i) = -9*i + 5. Calculate the remainder when w(-3) is divided by 12.
8
Let r be 1 - ((-2)/(-2) - 3). Let h(f) = -10*f + 5 + f**2 - 4*f**2 + 3*f + f**r. Calculate the remainder when 38 is divided by h(5).
18
Let x(p) = -p**2 - 7*p - 5. Let n be x(-6). Let y be 117/6 + 2/4. Calculate the remainder when y + (n*-2)/(-2) is divided by 11.
10
Let c(k) = k + 5. Let d be c(-3). Suppose -70 = -2*u - 5*w, -2*w = -6*u + d*u + 164. What is the remainder when u is divided by 21?
19
Let t = -2 + 2. Suppose -f + t*f + 102 = 4*m, 5*m - 4*f = 117. Calculate the remainder when m is divided by 9.
7
Suppose -15 = -4*o - 3*g + 7, -o - g = -6. Suppose w + 0 = 6. What is the remainder when w is divided by o?
2
Let c(f) = f**3 - 3*f**2 + f - 1. Let k be c(2). Let q(v) = -3*v - 2. Calculate the remainder when 27 is divided by q(k).
6
Let j = 103 + 11. Suppose 3*v - j = -0*v. Suppose 2*d - v = 5*g, -d - d + 4*g = -34. Calculate the remainder when 17 is divided by d.
8
Let x = -19 + 24. What is the remainder when 23 is divided by x?
3
Let z = -215 - -79. Suppose 3*u = 0, -2*o + 12 + 12 = -5*u. Calculate the remainder when 5/1*z/(-20) is divided by o.
10
Suppose -3*v - 17 = -2*x, -v = -x - 3 + 11. Calculate the remainder when 26 is divided by x.
5
Suppose 3*q - 205 = -2*q. Suppose -14 + 42 = 2*y. What is the remainder when q is divided by y?
13
Suppose -3*a + 5 = 2*a. What is the remainder when 34 is divided by -3 - (3 - a - 17)?
10
Suppose d - 2 = -n + 15, -2*n + 66 = 4*d. What is the remainder when 44 is divided by d?
12
Suppose 2*i = -2*i + 4. Let o be (1 + (0 - i))/2. What is the remainder when o + -1 - (-40)/2 is divided by 7?
5
Let q(t) = 8*t**2 + 2*t - 1. What is the remainder when (-156)/(-10) + 4/10 is divided by q(1)?
7
Let p(o) = -o**2 + 21*o - 15. Let h = -5 + 21. Calculate the remainder when p(h) is divided by 22.
21
Suppose 6 = -4*f - 2. Calculate the remainder when (f - 47)*(-3 + 2) is divided by 13.
10
Let a(t) = 14*t - 3. Let g be a(10). Suppose 4*f + g = 437. Let v = f + -40. What is the remainder when v is divided by 12?
11
Let s = -2 - -6. Let r(l) = 0*l + 3*l - 5 + l. What is the remainder when r(3) is divided by s?
3
Let a(t) be the third derivative of t**4/24 + t**3/6 - t**2. Calculate the remainder when 3 is divided by a(0).
0
Suppose -x = -3*x + 2*p + 266, -413 = -3*x - 4*p. Suppose 0 = 3*j - 2*k - 151 - 3, -3*j = -k - 158. What is the remainder when j is divided by 1/2 - x/(-10)?
12
Suppose 0*n = -5*n. Let f = 13 - -6. What is the remainder when f is divided by (n/1 - -8) + -1?
5
Let d = -16 + 29. Suppose -5*c - 14 = -2*m, 5*c = -3*m + 2*c + 21. Suppose 30 = 2*w - 4*f, 4*w + 3*f - 9 = m. What is the remainder when d is divided by w?
6
Let x = -13 + 25. Suppose -3*u = -65 - 1. Calculate the remainder when u is divided by x.
10
Let y(o) = o**2 + 2*o - 6. Let q = 24 + -7. What is the remainder when q is divided by y(-5)?
8
Suppose -4*s + 7*s = 0. Let v be 0/(-3) + s/(-2). Suppose v = w + w - 110. What is the remainder when w is divided by 19?
17
Calculate the remainder when 7 is divided by (0 - 2)*10/(-4).
2
Let g(z) = z + 7. Let u be g(-3). Let l be (100/6)/((-2)/(-12)). Suppose -i + l = u*i. Calculate the remainder when i is divided by 7.
6
Suppose -3*f - 12*f + 1125 = 0. Calculate the remainder when f is divided by 11.
9
Let b(n) = -22*n**3 - 2*n**2 - n. Calculate the remainder when b(-1) is divided by 11.
10
Suppose 0 = -2*l - 4*u + 28 + 2, -87 = -4*l + u. Let t = l + -1. Calculate the remainder when 77 is divided by t.
17
Suppose -4*c + 4*z + 460 = 0, -5*c - 3*z - z = -539. Suppose 4*j - 104 = 4*m, 2*j = -2*j - 3*m + c. Calculate the remainder when 53 is divided by j.
26
Let h(w) be the first derivative of -2*w**2 - 5*w + 2. Let t(f) = 4*f - 16. Calculate the remainder when t(15) is divided by h(-5).
14
Let r = -9 - -14. Suppose -36 = -4*x + x. Calculate the remainder when x is divided by r.
2
Suppose 5*b = 6*b + 16. Let k be ((-1)