t is the remainder when k is divided by 19?
8
Let y(n) = 12*n**2 - 5 - 45*n**3 - 28*n + 73*n**3 - 29*n**3. Calculate the remainder when y(6) is divided by -2 + 13*(-1 + 2).
10
Let f(z) = -16*z**2 + 131*z - 1. Let h(c) = 24*c**3 - 2*c**2 - c - 1. Calculate the remainder when h(2) is divided by f(8).
20
Let f(w) = w**3 + 6*w**2 + 7*w - 3. Let z be f(-4). Let q = -16 - -23. Calculate the remainder when z*10 + (34 - 30) is divided by q.
0
Let q(u) = -56*u + 17. Let w be q(-8). Let j(g) = -g + 4. Let a be j(4). Suppose a = -27*h + 22*h + w. Calculate the remainder when h is divided by 19.
17
Let w(x) be the third derivative of x**6/120 + x**5/30 + 11*x**3/3 + 212*x**2. Let k(f) = -f + 152. Calculate the remainder when k(0) is divided by w(0).
20
Let j = 11001 - 10657. What is the remainder when j is divided by 113?
5
Let z(h) = 5*h + 5. Let q = -4 - -7. Suppose 2898 = 131*o - 60*o + 129. What is the remainder when o is divided by z(q)?
19
Let q(r) = -8*r**3 - 6*r**2 - 29*r - 236. Calculate the remainder when q(-6) is divided by 159.
19
Let f(w) = -w**2 - 214*w - 1427. Let o = 14 - 1. What is the remainder when f(-207) is divided by o?
9
Suppose -2*x = 2, -7*q = -3*q - 5*x - 69. What is the remainder when 956/9 + (-108)/486 is divided by q?
10
Let i(c) = -2*c - 76. Let p be i(-36). What is the remainder when 75 is divided by 8 - ((-8)/(-12))/(p/12)?
5
Let h = -2696 - -2996. Calculate the remainder when 317 is divided by h.
17
What is the remainder when -29*(13 + -118)/15 is divided by 27?
14
Let a be ((-20)/6)/(2/(-3)). Suppose a = -2*o + 53. What is the remainder when o is divided by ((-650)/(-10))/(0 - 5)*(-3 + 2)?
11
Let d = 126 - 123. Suppose -13 = n + d*w, -n + 30 = -4*w + 8. Suppose -n*p = -5*c + c - 14, -5*p + 2*c = -67. Calculate the remainder when 102 is divided by p.
12
Let q(v) = 833*v**2 + 310*v - 935. What is the remainder when q(3) is divided by 3745?
2
Let u = 1456 - 628. What is the remainder when u is divided by 214?
186
Suppose 2 = 10*t - 9*t. Suppose 0 = -t*f + 2, q - f = -9 + 28. Suppose 5*u - q = -3*m, -4*u = 11 + 9. What is the remainder when m is divided by 8?
7
What is the remainder when 869 is divided by ((-957)/66)/(-1*(-1)/(-6))?
86
Suppose -878*y - 350 = -868*y. Calculate the remainder when (-20)/8*1316/y is divided by 45.
4
Let d be 4/10 + (-5859)/(-15). Let b = -359 + d. What is the remainder when 89 is divided by b?
25
Suppose -50*z + 46*z + b = -73, -z + 16 = 2*b. Suppose 171 + 81 = z*i. What is the remainder when 50 is divided by i?
8
Let q be 14/21*18 - 4. Suppose -3*p + t + 3 + 11 = 0, 2*t - q = 0. Calculate the remainder when 32 is divided by p.
2
Let d = -362 - -365. Suppose 0 = -3*i + 66 + d. Calculate the remainder when 78 is divided by i.
9
Let a(v) = v**2 - v - 5. Let b be a(-3). Suppose 36 = -b*l + 16*l. Suppose -142 = -5*h - l*g, -2*g = -6 - 0. What is the remainder when h is divided by 15?
11
What is the remainder when -1 + 5 - (0/8 + -1252) is divided by 137?
23
Let x be -3*13/(273/(-70)). Suppose 5*c - 35 + x = 0. What is the remainder when 29 is divided by c?
4
Suppose -7*w + 397 - 124 = 0. Calculate the remainder when w is divided by 33.
6
Suppose 0 = -3*j - 5*k + 77, -j + 0*j + k = -15. Calculate the remainder when 118/((-13)/((-2223)/38)) is divided by j.
18
Let o(u) = -4*u + 8. Let m be o(-3). Let r(t) = 10*t**2 + t. What is the remainder when r(1) is divided by 45/25*m/12?
2
Let i = -23204 + 24296. Calculate the remainder when i is divided by 24.
12
Suppose 0 = -3*u + 3*f + 429, -5*u = -3*u + 6*f - 238. Calculate the remainder when u is divided by 25.
12
Suppose -78*d = 6*d + 31*d - 355005. What is the remainder when d is divided by 91?
84
Suppose -6*b - 2*b = -2*b - 3096. What is the remainder when b is divided by 14?
12
Let s be ((-12)/5)/(-5*(-2)/1350). Let i = -271 - s. Calculate the remainder when 209 is divided by i.
50
Let n(x) = -x + 38. Let k(i) = 5*i + 172. Let q be k(-33). Calculate the remainder when 215 is divided by n(q).
29
Suppose 0*g = 2*g + 192. Let s(f) = 7*f + 102. Let j be s(-15). Calculate the remainder when 171 is divided by (-173)/j - 32/g.
55
Suppose 95 = y + 29. Let m = 167468 + -167411. Calculate the remainder when y is divided by m.
9
Suppose 4*k = -2*s + 4, -6*k - 5 = -k. Suppose 0 = -f + 5*r + 7, s*f - f = 4*r + 10. Calculate the remainder when 17 is divided by f.
1
Let q = 2872 - 2763. Calculate the remainder when 1416 is divided by q.
108
Suppose -12*g + 3*n + 1086 = -7*g, 5*g - 1110 = -5*n. Let f = -4 + g. Calculate the remainder when f is divided by 73.
69
Suppose 7*q + 2 - 37 = 0. Calculate the remainder when 1881 is divided by q.
1
Let m(i) = -i + 16. Suppose 12 = 3*h + 3*z, -22 = -4*h + 3*z - 4*z. What is the remainder when 0 - -3 - 455/(-13) is divided by m(h)?
8
Let a be 5 + (3 - (3 + 1)). Suppose -5*c + a = -3*m, -c = 4*c - m - 8. What is the remainder when (-1410)/(-20) + 1/c is divided by 25?
21
Suppose -4*d - 12 = -3*t, -10*d = -9*d - 3. Suppose -108 = -o - 2*o. Let f = o + -23. Calculate the remainder when f is divided by t.
5
Let s be (-5)/(45/6) - 2636/(-12). Let k = s + -191. What is the remainder when 249 is divided by k?
25
Suppose 5*h = -j + 12, -16*j = -19*j + 3*h. Suppose 2*q - q - 10 = -5*w, 3*w = -j*q + 20. What is the remainder when q is divided by 8?
2
Suppose -1315 = -6*v - 115. Suppose 9*t - 12*t = 5*c - v, -2*c - 4*t + 80 = 0. What is the remainder when c is divided by 23?
17
Let a(o) = o**3 - 60*o + 26. Calculate the remainder when 230 is divided by a(9).
15
Let k be (10 - 0)*142/(-5). Suppose -2*q + 98 = 4*h - 2*h, 0 = -4*q + 16. Calculate the remainder when h is divided by 4/(-6) + k/(-12).
22
Let c(r) = 8*r - 36. Let g be c(5). Calculate the remainder when 318 + (-4 - 1) + g is divided by 80.
77
Let o(j) = j**2 + 2*j + 2. Let t(m) = 117*m - 45. Let n(l) = -59*l + 26. Let c(a) = 9*n(a) + 4*t(a). Calculate the remainder when c(-2) is divided by o(4).
24
Let g(n) = 960*n - 3827. What is the remainder when g(8) is divided by 47?
46
Let u(i) = 3*i**2 + 565*i - 1713. Calculate the remainder when 124 is divided by u(3).
7
Let j = 18 + -14. Let g = j - -9. Suppose 0 = -12*q + 15*q - 270. What is the remainder when q is divided by g?
12
Let n(g) = -g**2 - 548*g + 25433. Let v = -253 + 510. Calculate the remainder when v is divided by n(43).
17
Suppose -2*o + 4*s = -50, 0*s + 40 = 2*o + s. Suppose 0 = -3*x - 3 + 57. Let y = o - x. What is the remainder when 4 is divided by y?
1
Let g = -47 + 51. Suppose 0 = -4*o - 4*s + 320, 33*s + 327 = g*o + 30*s. What is the remainder when 121 is divided by o?
40
Let k(m) = -6*m**3 + 51*m**2 - 10*m + 113. What is the remainder when k(8) is divided by 117?
108
Let t(w) = 22*w - 11. Suppose -3*l - l = -20. Suppose 4*k = 19 + l. Calculate the remainder when t(2) is divided by k.
3
Let a = 39 + -36. Suppose -377 = a*d + 28. Let l = 212 + d. Calculate the remainder when l is divided by 40.
37
Let g = -8743 + 11709. What is the remainder when g is divided by 43?
42
Let o(s) = 20*s + 263. Let q = -371 - -381. Calculate the remainder when o(q) is divided by 18.
13
Suppose 0*b + 4*b - 1512 = 0. Suppose -5*t + 82 = x, -54*t + 9 = -57*t. Calculate the remainder when b is divided by x.
87
Suppose 3*d + 696 = 2*h - d, 4*h = 5*d + 1386. Let u = -86 - -86. Suppose u = f + 3*f - h. What is the remainder when f is divided by 22?
20
Calculate the remainder when 1054 is divided by -16 + (-996)/(-60) + (-587)/(-5).
110
Let u(i) be the third derivative of -i**5/60 + 9*i**4/8 - 19*i**3 + 46*i**2 - 2*i. What is the remainder when u(18) is divided by 15?
3
Let q = 10446 - 8481. Calculate the remainder when q is divided by 23.
10
Let h(n) = 44 - 6872*n + 10 + n**2 + 6850*n. What is the remainder when 307 is divided by h(20)?
13
Suppose 3*v - 140 = -2*v. Suppose 3*p = -p + v. Let y = 6 + p. What is the remainder when 63 is divided by y?
11
Let v be (19/3)/((-4)/12). What is the remainder when 35 is divided by (((-513)/18)/v)/(3/38)?
16
Let p = -346 - -503. Suppose -5*w = 3*s - 274, 4*w - 3*s - 46 = p. Suppose -5*a = 20, 13 = -0*c + c - a. Calculate the remainder when w is divided by c.
8
Let c(o) = 17*o + 39 + 29*o - 38*o + o**2. Let z be c(-13). Suppose z*j - 108*j = -44. What is the remainder when 42 is divided by j?
9
Suppose -