is divided by 11.
9
Let q(s) = s**3 + 11*s**2 + 10*s + 12. Let u be q(-10). Suppose -u*z + 106 = -86. Calculate the remainder when 73 is divided by z.
9
Let c(f) = -16*f - f**2 + 5 + 11 + 11. Calculate the remainder when 522/14 + (-2)/7 is divided by c(-17).
7
Let l = -3890 + 3947. What is the remainder when 355 is divided by l?
13
Let j = 11411 + -10806. Calculate the remainder when j is divided by 4.
1
Let g = 4395 - 4364. Calculate the remainder when 163 is divided by g.
8
Let c(a) = 24*a + 41*a**2 - 36*a - 2*a - 42. Calculate the remainder when c(-4) is divided by 32.
30
Calculate the remainder when 219*(5 + (-2 + -22)/6) is divided by 117.
102
Suppose 5*v + 3*x - 57 - 23 = 0, -4*v = -5*x - 101. Calculate the remainder when 5/2*54 + -4 is divided by v.
17
Let m = 960 - 956. Let y be (-4)/(0 + (-3)/60). Suppose -3*v + v + m*h = -40, -4*v + y = 4*h. Calculate the remainder when 96 is divided by v.
16
Suppose -4*d - 141 = -3*o, 3*o - d = 4*d + 138. Suppose -26*p = -23*p - o. Calculate the remainder when 39 is divided by (170/p)/((-2)/(-3)).
9
Let y be (-9)/(-3) - -1236 - (-6 + 7). Suppose 5022 = 10*g - y. What is the remainder when g is divided by 17?
14
Let b = 19918 - 19890. Calculate the remainder when 5863 is divided by b.
11
Let j be (5 + (-4)/2)/(1/1). Suppose 130 + 29 = j*r. Calculate the remainder when r is divided by 16.
5
Let t = 18 - 24. Let s(l) = 2*l + 19. Let i be s(t). Suppose 427 = -0*w + i*w. What is the remainder when w is divided by 17?
10
Suppose 5*x + 4*p - 179 = 0, -3*x + 105 = 2*p - 0*p. Suppose -4*n + 751 = -3*j, 5*j + 37 = 12. Calculate the remainder when n is divided by x.
29
Suppose 0 = 42*n - 4*a - 604, -9*n + 5*a - 8 = -11*n. Let z(c) = -5*c - 1. Calculate the remainder when z(-6) is divided by n.
1
Let h = 141 - 267. Let u = h - -588. Calculate the remainder when (u/(-44))/(6/(-20)) is divided by 9.
8
Let k(v) = -9*v**2 + 143*v - 6. What is the remainder when 2102 is divided by k(10)?
6
Let x(u) = 11*u**3 + 4*u**2 - 12*u + 7. Let y(a) = -2*a**3 - a**2 + a - 1. Let f(p) = x(p) + 5*y(p). What is the remainder when f(5) is divided by 35?
32
Let h(m) = 128*m**3 + 123*m**2 - 120*m - 4. What is the remainder when h(1) is divided by 97?
30
Suppose -318*u + 163*u + 5376 = -134*u. Calculate the remainder when 1071 is divided by u.
47
Let u(m) = 1587*m - 311. Calculate the remainder when u(1) is divided by 266.
212
Let b(v) = -4*v - 5. Let s = 116 - 115. Let h be s*((0 - 1) + -4). What is the remainder when b(h) is divided by 6?
3
Let a(d) = 16*d**2 - 289*d + 17. Calculate the remainder when a(19) is divided by 59.
7
Suppose 2*r = p + 4 + 94, 5*r + 2*p - 263 = 0. Suppose -h + 160 = 5*i, -r = -2*i - 6*h + 3*h. Calculate the remainder when i is divided by 10.
3
Let a be 9/((10 - 3) + -4). Let k(v) = 3 + 3 + a*v**2 - 10. Calculate the remainder when 91 is divided by k(3).
22
Suppose 3*r = 72 - 12. Suppose 4 = 6*y - r. Suppose 3*s - y*s + 42 = 4*t, -226 = -5*s - 4*t. What is the remainder when 135 is divided by s?
43
Suppose 0 = -37*h - 906 - 56. Calculate the remainder when 614 is divided by ((-63)/6)/(-2 - h/16).
26
Suppose -u = i + 3*u - 22, -2*u = 3*i - 26. Suppose i*v + 1410 = 16*v. What is the remainder when v is divided by 60?
21
Let q(t) be the second derivative of -11*t**3/3 - 169*t**2/2 + 48*t. Calculate the remainder when q(-20) is divided by 25.
21
Let s = 12322 + -12294. Let v(n) = 18*n - 5. What is the remainder when v(5) is divided by s?
1
Let b = -1424 - -2476. What is the remainder when b is divided by 32?
28
Suppose 0*f - f = -2*c - 13, 3*c + 27 = 4*f. Suppose f*v - 25 - 11 = 0. Calculate the remainder when 14 is divided by ((-5)/(-3))/(4/v).
4
Suppose 7 = -6*h + 7*h. Suppose -h*k - 5*k = -660. Calculate the remainder when k is divided by ((-8)/6)/((-2)/30).
15
Let p be 1641 + 12 - 3*-3. Suppose 2*h = 6, 3*i + 11*h - 8*h = p. What is the remainder when i is divided by 79?
77
Let u(o) = 2*o - 23. Let m be u(4). Let y = m - -35. Suppose 3*h = 6*h - 171. What is the remainder when h is divided by y?
17
Suppose 0*q + 5*q = -5*m + 1000, 5*q + 576 = 3*m. Suppose 218*j + 28*j - 16320 = -9*j. Calculate the remainder when m is divided by j.
5
Suppose -178*z + 15636 = 6140 - 17560. What is the remainder when z is divided by 90?
62
What is the remainder when 911 is divided by (5072/56 + -4*1/7)*2?
11
Let n(t) = -t**3 - 27*t**2 - 37*t + 11. Let s be n(-26). Suppose 16*j - s = 7. What is the remainder when 265 is divided by j?
18
Let f(v) = -94*v + 16. Let o be f(-5). What is the remainder when o/(10 - 4) - 5 is divided by 7?
6
Let l = -25961 - -25975. Let i(n) be the second derivative of n**4/6 + 7*n**3/6 - 3*n**2 + 2*n. Calculate the remainder when i(-6) is divided by l.
10
Let r(w) = w**2 - 268*w - 1921. Let g be (-1*1)/((-1)/39). Suppose -g = -4*y - 11. What is the remainder when y is divided by r(-7)?
3
Let h(g) = -36*g + 107. Let r(m) = -4*m**3 + 39*m**2 + 8*m + 11. Let u be r(10). Calculate the remainder when h(u) is divided by 48.
47
Suppose -5*b + 2*b = 879. Let w = 306 + b. Let y(k) = -k**3 - 7*k**2 + 2*k - 10. Calculate the remainder when y(-8) is divided by w.
12
Let m = -7871 + 7897. What is the remainder when 94 is divided by m?
16
Let u(f) be the second derivative of -f**5/20 + 5*f**4/6 + 11*f**2 + f + 38. Calculate the remainder when u(8) is divided by 31.
26
Suppose -n + 47 = -0*n + 3*q, 4*n - 5*q = 188. Let m = -74 + 195. Let u = m + -105. Calculate the remainder when n is divided by u.
15
Let n = 72 - 28. Suppose -n*f + 624 = -40*f. Suppose 5*r = 2*b + 260, -f = -3*r - 4*b - 0*b. What is the remainder when r is divided by 27?
25
Let b(d) = d**2 + d + 17. Let k = 5 - 5. Let m be b(k). Suppose -20*n = -m*n - 51. What is the remainder when 100 is divided by n?
15
What is the remainder when 358 is divided by -16*40/(-32)*(9 + 3)/3?
38
Let u(z) = 10*z**2 - 1967*z - 7891. What is the remainder when 470 is divided by u(-4)?
59
Let w be -22*(1*8 - 0). Suppose -60*n + 571 = -389. What is the remainder when w/(-6) + (-2)/6 is divided by n?
13
Suppose -24*d + 0*d = -384. Suppose -5*o - 2*j = -305, -22 = -o - 5*j + d. Calculate the remainder when o is divided by 25.
13
Let y be (-3784)/(-30) + (-12)/90. Suppose -3*i - 15*h + 16*h = -y, -3*i + 4*h = -135. Calculate the remainder when 327 is divided by i.
40
Let f(p) = -2*p - 5. Let m be f(8). Calculate the remainder when -655*m/35*1/1 is divided by 36.
33
Let n(w) = w**3 + 7*w**2 - 2*w + 10. Let q = -252 - -246. Calculate the remainder when n(q) is divided by (-1*2 + 18)/1.
10
Let d(u) = -2*u**3 - 9*u**2 - 27*u - 18. Calculate the remainder when 822 is divided by d(-3).
30
Let k(h) be the third derivative of -h**6/60 + 5*h**4/8 + h**3/2 + 134*h**2. Calculate the remainder when k(-4) is divided by 8.
7
Let s(q) = -2*q**3 - 10*q**2 + 7*q - 1. What is the remainder when ((-2)/5)/(-6 - 3507/(-585)) is divided by s(-6)?
20
Suppose 0 = -1008*t + 1010*t - 162. What is the remainder when 320 is divided by t?
77
Let l = 195 + 24. Let r = l + 67. Suppose 14*v - 3*v = r. What is the remainder when 128 is divided by v?
24
Let f = 266 - 260. What is the remainder when 348 is divided by 20 - (-7)/((-7)/f)?
12
Let l = -86 - -86. Suppose l = -15*w + 2*w + 442. Calculate the remainder when 166 is divided by w.
30
Let x be (-12)/8 + (2127/6 - 2). Suppose x = -4*v + 13*v. Calculate the remainder when v is divided by 6.
3
Let y = -86 + 88. Suppose 16*a = -y*a + 126. What is the remainder when (9/3)/((-2)/(-12)) is divided by a?
4
Let k = 67 - -72. Let t = k - 118. What is the remainder when 502 is divided by t?
19
Let l(q) = -q**2 - 24*q - 45. What is the remainder when 393 is divided by l(-10)?
13
Let d be (-2)/(-19) + 485/(-95). What is the remainder when 158 is divided by 3 + (-10)/(4 + 21/d)?
52
Let w(c) = 2*c**3 + c**2 - 3*c + 9. Let l be w(0). Suppose -16*x + 250 = l*x. Let u = 119 + -31. What is the remainder when u is divided by x?
8
Let u(f) = f**3 + 6*f**2 + 2*f - 5. Let l be 9/((-315)/(-10)) - 654/(-14). Let k = 51 - l. What is the remainder when u(-3) is divided by k?
0
Let p be (8/6)/((-1)/6). Let t = p + 15. Suppose -196 = -3*q + 4*s, -12*q - 5*s = -16*q + 262. Calculate the remainder when q is divided by t.
5
Suppose -204*v + 697646 = -43*v + 227043. What is the rem