 n = 19 + 0. Calculate the remainder when n is divided by (8 + 88/(-16))*2.
4
Suppose -8 = -2*z, -v + 13 + 42 = 4*z. Suppose 3*m + 33 = 6*m + 3*p, 0 = -4*m - 3*p + 47. Calculate the remainder when v is divided by m.
11
Suppose -3*w + 24 = -0*w. Suppose 4*k - 16 = -4*a, 5*a - k = -4 - 0. Suppose a = -4*i + 12 - 0. What is the remainder when w is divided by i?
2
Let t = -69 + 161. What is the remainder when t is divided by 295/10 - (-27)/18?
30
Suppose 2*z - 16 = 5*w, -13*z + 18*z - w - 86 = 0. Calculate the remainder when 210 is divided by z.
12
Suppose 3*v = 0, -4*a = 3*v - 117 - 83. What is the remainder when a is divided by 27?
23
Let p(t) = 31*t**2 + 5*t - 9. Let i be p(4). Suppose 80 = 5*y - 100. Calculate the remainder when y is divided by 4/18 - i/(-27).
17
Let i(l) = -l**3 + 4*l**2 + 8*l - 7. Suppose -3*b - 5*h + 5 = 0, -b + 6*b - 23 = -h. Suppose -b*d = -0*d - 25. What is the remainder when 29 is divided by i(d)?
5
Let y = 3 + -1. Suppose 0 = r - y, -28 = -v + r + 2*r. Let l = 375 + -241. What is the remainder when l is divided by v?
32
Let h = -252 + 272. What is the remainder when 79 is divided by h?
19
Suppose -4*n + 150 = 5*g, -g - 4*g - n + 165 = 0. Suppose 0 = -5*u + 6 + g. What is the remainder when u is divided by (-114)/(-22) + 2/(-11)?
3
Let i(c) be the third derivative of c**6/120 + 7*c**5/60 + 5*c**3/6 - c**2. Suppose -a + 140 = 8*a + a. What is the remainder when i(-4) is divided by a?
11
Let a(b) = -27*b**2 + 3*b. Let y be a(2). What is the remainder when y/(-4 + 4/2) is divided by (-3)/(3/(-14)) + -1?
12
Let v = 308 + -307. What is the remainder when 7 is divided by v?
0
Let z be 4/(-3)*9/(-6). What is the remainder when (-1 + (3 - z - 5))/(-1) is divided by 4?
1
Suppose -2*p = -0*p + 5*q - 711, -p + 4*q = -362. What is the remainder when p is divided by 15?
13
Let f(k) = -k**2 - 25*k + 18. What is the remainder when 159 is divided by f(-22)?
75
Suppose 0 = -40*y + 586 + 134. Let h(p) = 53*p - 1. Suppose 0 = -2*q + 2. What is the remainder when h(q) is divided by y?
16
Let w = 1352 - 1334. Let q(z) = 11*z + 6. What is the remainder when q(9) is divided by w?
15
Suppose -23 = -p - 2*v, 2*p = 4*p + 5*v - 48. Let r = p + -8. Calculate the remainder when 42 is divided by r.
9
Let o(l) = 3*l**2 - 23*l - 79. Calculate the remainder when 61 is divided by o(-3).
10
Let a(q) = -q**3 + 8*q**2 + 14*q + 4. Calculate the remainder when 303 is divided by a(-3).
59
Let u(l) = l**3 - 23*l**2 + 23*l - 18. Let q be u(22). Suppose -158 = -q*s + 170. What is the remainder when s is divided by 22?
16
Let f(o) = o**3 - 25*o**2 + 27*o - 55. What is the remainder when 319 is divided by f(24)?
13
Suppose 14*y - 53 = 73. Calculate the remainder when 15 is divided by y.
6
Let m = -167 - -174. What is the remainder when 1*27*(-2)/(-3) is divided by m?
4
Let r = -14 - -67. Let m = -12 + 31. Calculate the remainder when r is divided by m.
15
Suppose 3*n + 6 = 0, -23*i + 28*i = -4*n + 337. Suppose 4*k = 2*k + 16. Calculate the remainder when i is divided by k.
5
Let s(r) be the second derivative of -3*r**3 + 2*r + 0 + 7/2*r**2. Calculate the remainder when s(-4) is divided by 20.
19
Suppose 7*h - 698 = 1640. Calculate the remainder when h is divided by 56.
54
Suppose 63 = 3*s - y - 28, -3*y - 12 = 0. Calculate the remainder when 75 is divided by s.
17
Let n = 6 - -13. Suppose q - n - 9 = 0. Suppose -22 = -3*a + 23. Calculate the remainder when q is divided by a.
13
What is the remainder when (-6)/(24/(-14)) - 587/(-2) is divided by 50?
47
Suppose -60 = -2*o - 0*o. Suppose -11*u + 90 = -u. Let t = u + o. Calculate the remainder when t is divided by 14.
11
Let o(x) = 2*x**2 - 13*x + 71. What is the remainder when 51 is divided by o(4)?
0
Let x(h) = -h**3 - 31*h**2 - 113*h - 60. What is the remainder when x(-27) is divided by 24?
3
Suppose -4 = 14*w - 16*w. Suppose -5*m = g - 28, 4*m + 4*g - 20 = w*g. Calculate the remainder when 9 is divided by m.
3
Suppose -23*x = -46*x + 230. Let k(b) be the second derivative of -5*b**3/6 + 2*b**2 + b. What is the remainder when k(-5) is divided by x?
9
Let j = -124 - -187. Suppose -7*i - 1716 = 20*i - 183*i. Calculate the remainder when j is divided by i.
8
Let k = 13 - -14. Let w = 76 - 24. What is the remainder when w is divided by k?
25
Let p(f) = 3*f**2 - 2*f + 3. Let m be -26*4/24*-3. Suppose 4*c - m = -5. What is the remainder when p(c) is divided by 3?
2
Let j(v) = -v**3 + 7*v**2 - 9*v + 21. Let l(u) = u**2 + 6*u - 1. Let i be l(-7). What is the remainder when 48 is divided by j(i)?
0
Let w = 143 - 101. What is the remainder when 77 is divided by w?
35
Let o be 0/(4 - -2 - 4). Suppose -4*m = -o*m - 16. Calculate the remainder when (2/(-4))/(2/(-24)) is divided by m.
2
Suppose 0 = -3*n - 1 + 7. Let v(q) = -q + 1. Let u be v(-3). Suppose -h - 146 = -3*p, -241 = n*p - 7*p + u*h. What is the remainder when p is divided by 26?
23
What is the remainder when 461 is divided by 63/(((-3)/9)/((-4)/18))?
41
Suppose -5 = -i - 3*m, i = 6*i - 3*m - 43. What is the remainder when 19 is divided by (0 + 3)/(9/(72/i))?
1
Suppose -3*g = -3*u + 2*g + 62, 0 = 5*u - g - 118. Let a = -2 + -3. Let j = u + a. Calculate the remainder when 55 is divided by j.
17
Suppose 0 = -0*w + 2*w. Suppose 4*f + 56 = 2*g - 16, -5*g + 4*f + 150 = w. Calculate the remainder when 25 is divided by (-119)/(-13) + (-4)/g.
7
Suppose -3680 = 8*g - 40*g. What is the remainder when g is divided by 30?
25
Let p = -149 - -151. Suppose -2*n = 10, p*j + 8 = 3*j - n. What is the remainder when 6 is divided by j?
0
Suppose 4*v = -20, -2*v - 126 = -0*t - t. Suppose -t = -29*r + 25*r. Let h(b) = b**3 - 4*b**2 - 2*b - 5. Calculate the remainder when r is divided by h(5).
9
Let y(l) = 72*l + 11. What is the remainder when y(3) is divided by 57?
56
Let h = 22 - 19. Calculate the remainder when 10 is divided by ((-5 - 2) + h)/(-2) + 4.
4
Let h = 29 + -27. Suppose -h*k + 2*c = -56, -2*c + 7*c = -2*k + 42. Calculate the remainder when k is divided by 7.
5
Suppose 304 = 4*j - 4*s, -5*j = -2*s - 119 - 246. Let g = j - 23. What is the remainder when g is divided by 25?
23
Let l = 5023 + -4994. Let v = 3 - -2. Calculate the remainder when l is divided by v.
4
Let w(c) be the second derivative of -c**4/12 - c**3/3 - 3*c**2/2 - 4*c. Let q be w(7). Let m = q - -117. What is the remainder when m is divided by 13?
12
Let g(y) = 3*y**2 + 13*y - 35. What is the remainder when g(-8) is divided by 9?
8
Calculate the remainder when (10 - 12/(-6))*95/3 is divided by 26.
16
Let r(t) = 3*t**2 - 2*t + 3. Suppose -6*g + g + 6 = y, 5*y + 3*g = -14. Let a = -46 + 61. What is the remainder when r(y) is divided by a?
14
Suppose -9*c + 4*l = -4*c - 22, -5*c - 3*l = -1. Suppose -17 - 26 = -5*h - p, h = p + 11. Calculate the remainder when h is divided by c.
1
Let w be (-9)/4 - (-3)/12. Let j be (-5)/(2/(4/w)). Calculate the remainder when (-56 - 1)*j/(-15) is divided by 7.
5
Let t be (-270)/(-33) + 2/(-11). Suppose -u + 10 = t. Suppose 2*o + u*o - 100 = 0. Calculate the remainder when o is divided by 13.
12
Let h(o) = -o**2 - 4*o - 1. Let a be h(-3). Suppose 2*f - a = 4*p, f - 1 = 2*p + 3*p. Let v = -19 + 21. What is the remainder when v is divided by f?
0
Let b = -38 - -21. Calculate the remainder when -3*130/(-6) + 0 is divided by b/(-1*(3 - 2)).
14
Suppose 1788 = -10*h + 12*h. What is the remainder when h/27 - 1/9 is divided by 18?
15
Suppose 0 = 3*c - 4*l - 22, -3*l = l - 8. Suppose 2*n - 4 - 2 = 0. Let h(d) = 2*d**3 - 2*d**2 - d + 5. What is the remainder when h(n) is divided by c?
8
What is the remainder when 159 is divided by ((-39)/(-3) + -1)*77/22?
33
Let f(a) = -8*a**2 + 58*a + 10. Suppose 472 = 5*j + 2*m - 5*m, -j + 98 = 3*m. What is the remainder when j is divided by f(7)?
23
Suppose -5*p + 2*t + 17 = -24, -t = -4*p + 31. Let m(d) = -3*d**2 - 3*d + 9. Let z be m(-6). Let w = -70 - z. Calculate the remainder when w is divided by p.
4
Let w(r) = r**2 - 8*r - 71. Calculate the remainder when w(15) is divided by 18.
16
Let b = -275 - -308. What is the remainder when 295 is divided by b?
31
Suppose -47*o + 18 = -46*o. Calculate the remainder when 233 is divided by o.
17
Let s(l) = l**3 - 11*l**2 + 3. Let q = -16 - -27. Let i be s(q). Suppose 0*y = i*y - 18. Calculate the remainder when