ate the remainder when 350 is divided by k.
30
Let p(k) be the second derivative of k**4/12 + 3*k**3/2 - 17*k**2 - 2*k + 3. What is the remainder when 102 is divided by p(-14)?
30
Let x(n) = -381*n - 785. Calculate the remainder when x(-10) is divided by 17.
16
Suppose -2*h = -2*s, -4*s + 6 = 2*h - 3*s. Suppose h + 1 = d. Suppose j - d = 86. What is the remainder when j is divided by 31?
27
Suppose 11*i = 35 - 2. Suppose i*t + 4*a = t + 122, -107 = -2*t - a. What is the remainder when t is divided by 14?
9
Let p(u) = 908*u + 1856. Calculate the remainder when 5479 is divided by p(-2).
39
Let q be -2*1*(-4)/8. Let p(z) = 9*z**2 - 4*z + 2. Calculate the remainder when 45 is divided by p(q).
3
Suppose -7*w + 93 + 54 = -98. What is the remainder when 792 is divided by w?
22
Let b = -71 + 122. What is the remainder when b is divided by 870/30 - (-80)/(-5)?
12
Suppose -5*z + 51 - 11 = 0. Suppose z*i - 34 = 62. Calculate the remainder when 406 is divided by i.
10
Let w(p) = p + 6. Let j(v) = -4*v - 19. Let s(q) = -q**3 + 15*q**2 + q - 35. Let h be s(15). Calculate the remainder when j(h) is divided by w(3).
7
Suppose 5*y + 3*p = -94, -9*y + 7*y + p - 42 = 0. What is the remainder when 163 is divided by 1*y/(-4)*11?
53
Let y = -88 + 19. Let z = -10 - y. What is the remainder when z is divided by 13?
7
Let w(r) = 2*r**3 + 49*r**2 - 512*r + 8. Calculate the remainder when w(15) is divided by 215.
213
Suppose -3*r + 4*q = -23, -r - 79*q + 93 = -75*q. Calculate the remainder when (-2)/6 + (-1376)/(-6) is divided by r.
26
Let i(u) = 2*u**3 - 4*u**2 + 11*u + 15. Let v be i(7). Let j = -1201 + v. Let s = -382 - j. What is the remainder when s is divided by 40?
37
Let l be -2 - (203786/6 + 14/(-42)). What is the remainder when (2/6)/((-34)/l) is divided by 114?
105
Let a = 99 - 89. Suppose -9*g - 10 = -a*g. Suppose g = -v + 17. What is the remainder when 13 is divided by v?
6
Let d be ((-6)/(-2))/((-7)/3 - -2). Let u be 24/d*(6 - 0). What is the remainder when 58 is divided by (62*1)/(u/(-8))?
27
Let m(d) be the second derivative of -d**5/20 + 2*d**4/3 + 2*d**3 - 7*d**2/2 - 3*d. What is the remainder when m(8) is divided by (-1 - ((-5)/5 - -4)) + 27?
20
Suppose -172 = -12*u + 1772. Suppose 13*d - 1593 - u = 0. What is the remainder when d is divided by 46?
43
Let i(q) = -48*q - 1. Let x be i(-1). Let v(g) = -g**2 - 198*g + 1459. Let b be v(7). Suppose x*n - b = 43*n. What is the remainder when n is divided by 4?
2
Let w(f) = -5*f**2 + 2*f + 50. Let c be w(12). Let p = c - -781. What is the remainder when p is divided by 63?
9
Suppose 30810 + 78431 = 26*w - 8617. Calculate the remainder when w is divided by 19.
11
Let p(c) = c**2 + 23*c + 45. Let x be p(-21). Suppose -8*l + x*l + 170 = 0. Calculate the remainder when 133 is divided by l.
31
Suppose -5*k - 2*l = -1532, -104*k + 109*k + 5*l = 1535. What is the remainder when k is divided by 255?
51
Let o(l) = -2*l**3 - l**2 - 4*l - 4. Let t = 4122 - 3791. Calculate the remainder when t is divided by o(-2).
11
Suppose 22*a + 2965 = 70*a - 7547. What is the remainder when a is divided by 36?
3
Let j = -16573 - -38470. Calculate the remainder when j is divided by 20.
17
Suppose 0 = 583*x - 3361 - 9465. What is the remainder when x is divided by (34/(-6))/(2/(-6))?
5
Let p = 621 - 616. Suppose 0 = 4*u - 2*h - 47 - 299, -p*u + 440 = 5*h. What is the remainder when u is divided by 28?
3
Suppose 0 = 3*r - 1 - 11. What is the remainder when 64 is divided by (r/10*-11)/(2/(-5))?
9
Suppose 5*u + 12 = 2, -u - 14 = -3*y. Suppose y*n - 774 = -14*n. What is the remainder when n is divided by 20?
3
Suppose 284*z = -49*z + 49*z + 347048. Calculate the remainder when z is divided by 21.
4
Let i(f) = -19*f**2 + 87*f - 295. Let l(t) = -6*t**2 + 29*t - 99. Let z(c) = -3*i(c) + 8*l(c). What is the remainder when z(5) is divided by 62?
49
Suppose 56*d + 526 = 60*d - 2*g, 5*d - 3*g - 655 = 0. Calculate the remainder when d is divided by 13.
4
Let h = 5 + -15. Let p(m) = -3*m**2 + 54*m + 1508. Calculate the remainder when p(-15) is divided by (2/2)/((-2)/h).
3
Let c = -33 - -299. Suppose 3*i = -0*i + 4*l + c, -2 = l. Let y(q) = 13*q + 61. What is the remainder when i is divided by y(-3)?
20
What is the remainder when 257 is divided by (240/10 - -221)*3/5?
110
Suppose 3*n = -n + 100. Let p be 2 + 2 - (-1 + 0/(-3)). Calculate the remainder when (3 - 19/p)/(3/(-270)) is divided by n.
22
Let h = 169 - 154. Suppose -4*y + 3*w + 123 = 0, 0*y - 2*y - 5*w + 29 = 0. Let c = y - -12. What is the remainder when c is divided by h?
9
Suppose 2*p - 2*n + 3*n - 37 = 0, 94 = 4*p - 2*n. Suppose 12*q - 96 = 9*q. Let l = -19 + q. What is the remainder when p is divided by l?
8
Let d(m) = 5*m**2 - 2*m - 4. Suppose 4*c + 4 = -6*u + 2*u, -16 = 4*c - 2*u. Calculate the remainder when d(c) is divided by 27.
20
Let p(j) be the third derivative of j**5/20 - 5*j**4/24 - j**3/3 + 6*j**2. What is the remainder when p(6) is divided by (7/2)/(6/36)?
13
Let s = -197 + 202. Suppose s*m + 55 = w + 7, -2*w + 5*m + 71 = 0. Calculate the remainder when 81 is divided by w.
12
Suppose 11*d = 12*d - 6. Suppose -d*z - 181 = -259. What is the remainder when z is divided by 9?
4
Let s be (-14)/(-63) - (-8619)/(-27). Let i = s + 353. What is the remainder when i is divided by 20?
14
Let t be -42*-6*2/(-36). What is the remainder when -64 + 68 - 3/(6/t) is divided by 7?
4
Let o be -48 - ((5 + -10 - -8) + -5). What is the remainder when (0 - 90/(-21))*(-161)/o is divided by -1 - (-8 - (-2 - -3))?
7
Suppose -5 = -2*n - c, -2*c - 9 = -4*n - 5*c. Let r(h) = 2*h**3 - 5*h + 14. Calculate the remainder when r(n) is divided by 12.
5
Let y(a) = 4*a - 15. Let i be y(6). What is the remainder when 132 is divided by 19/57 - (-78)/i?
6
Let v be (916/(-72) - (-8)/36)*6. What is the remainder when 37 is divided by (-90)/v*(-140)/(-8)?
16
Suppose 3*q = -2*x + 130, 2*q + 4*x - 49 - 43 = 0. Suppose 0 = -4*o, 4*b + o + q = 146. Calculate the remainder when b is divided by 2.
0
Let v = 7569 - 7432. What is the remainder when 12053 is divided by v?
134
Suppose -10 = 4*k + 2*o, -4*k = o + 2*o + 7. Let w be 6/4 - (-6)/k. Suppose -4*t + w*t = -492. What is the remainder when t is divided by 18?
15
Let r(x) = x**2 + 15*x - 118. Let a be r(-49). Suppose 0 = 8*k - a - 140. What is the remainder when k is divided by 45?
31
Let g = -9423 + 13370. Calculate the remainder when g is divided by 1971.
5
Let p(c) = 5*c - 2. Let y = 27 - 24. Suppose -2*m = -2*g - 28, y*m - 7*g + 10*g = 48. What is the remainder when p(6) is divided by m?
13
Suppose 20*t - 2*t + t = 399. Calculate the remainder when 543 is divided by t.
18
Suppose 49*q - 2990 = 3*q. What is the remainder when 315 is divided by q?
55
Let l(c) = 12*c - 372. Calculate the remainder when 219 is divided by l(32).
3
Let n(z) = 16*z + 5. What is the remainder when n(3) is divided by 8?
5
Let s = 44 + -44. Suppose s*q = 5*q + 505. Let t = q - -108. What is the remainder when t is divided by 2?
1
Suppose -1044 = -23*t - 952. Let s = 45 + -27. Calculate the remainder when s is divided by t.
2
Let m = -16875 + 17011. What is the remainder when 2445 is divided by m?
133
Let p be (-7)/2*192/112 + 5. Calculate the remainder when 184 is divided by (2385/(-225))/(p/5).
25
Let s be -137 - 2 - 1 - -4 - 1. Let p = s - -214. What is the remainder when p is divided by 26?
25
Suppose -2*i - i = -7*i. Suppose 2*y + 6 = 0, 2*y + i = 4*q - 110. Suppose 2*l = 3*l - 100. Calculate the remainder when l is divided by q.
22
Let a(j) = -8*j - 2. Let p be a(-5). Suppose 69 = p*v - 35*v. What is the remainder when v is divided by 5?
3
Suppose 59*v - 3403 - 550 = 0. What is the remainder when 307 is divided by v?
39
What is the remainder when 674 is divided by 0 - -23 - (19 + 20)/13?
14
Suppose -939*h = -947*h + 896. What is the remainder when h is divided by 110?
2
Let s = -402 + 416. What is the remainder when 31 is divided by s?
3
Let u(z) = -z**3 - 6*z**2 - 7*z - 1. Suppose -13*r + t - 158 = -15*r, -2*r + 150 = -3*t. Calculate the remainder when r is divided by u(-6).
37
Suppose 0 = 4*q - 4*j - 52, 2*q + 0*j - 17 = -j. What is the remainder when 1368 is divided by q?
8
Let g be (12/10)/(3/(-10)). Let t be (-40)/300 - (-43)/(-15). What is the remainder when t + (g + 0 - -33)