
Calculate the remainder when 2032 is divided by (-1)/((-16223)/14189 - 6/(-168)*32).
5
Let b(r) = -r**2 + 24*r + 63. Suppose 0 = -22*m + 990 - 396. What is the remainder when b(22) is divided by m?
26
Suppose -5*f - v = -40, 0 = -5*v + 8 + 17. Let d(x) = x**2 - 5*x - 47. What is the remainder when f is divided by d(-5)?
1
Let i(d) = -3213*d + 132. What is the remainder when i(-1) is divided by 50?
45
Let n = 22 - 19. Suppose 3*o = 2*g + 80, n*o - 14 = -g + 81. Suppose 26*x - 122 - 164 = 0. What is the remainder when o is divided by x?
8
Let d(a) = 0*a - 5 + a**3 + 9*a**2 + 0 - 11*a - 4. Let y be d(-10). Let o(z) = 135*z**3 + 4*z**2 - 4*z + 1. What is the remainder when o(y) is divided by 46?
44
Let z = -23 - -40. Let w(j) = j**2 - 2*j - 15. Let c(r) = 3*r**2 - 6*r - 43. Let m(i) = -3*c(i) + 8*w(i). Calculate the remainder when z is divided by m(0).
8
Let s be (((-14)/(-2))/(-7))/((-2)/8). Let d = s - -50. Calculate the remainder when d is divided by 36.
18
What is the remainder when 1389 is divided by (-2)/((-105707)/(-9611) - 11)?
16
Let l be 2 + -6 + 21/3. Suppose l*g - u = 100, -4*u + 23 = 5*g - 121. Calculate the remainder when g is divided by 5.
2
Let j(h) = h + 2715. What is the remainder when j(-6) is divided by 129?
0
Let j be (-3 - 1 - -1) + 1. Calculate the remainder when -4 + 3 + (16 - 7) is divided by 4 + j*(-2)/(-4).
2
Suppose 5*l = 3*m + 130, 3*m = -4*l - 0*l + 104. Let p = -2562 - -2766. What is the remainder when p is divided by l?
22
Let a(h) be the third derivative of h**5/30 + 13*h**4/24 - 35*h**3/6 + 8*h**2 + 2. Calculate the remainder when 48 is divided by a(-9).
8
Let v = 3085 + -3073. Let i = 7 - 4. Suppose 0 = -i*c + 136 - 43. Calculate the remainder when c is divided by v.
7
Let u = 30 - 12. Let x(f) = 4*f + 73. Let h be x(-22). Let j = u + h. Calculate the remainder when 15 is divided by j.
0
Suppose -5*m + 45 = -40. Let j be (4 + 1/(4/12))*25. Let b = j + -74. What is the remainder when b is divided by m?
16
Let o = 983 - 434. Let x(f) = -6*f - 85. Calculate the remainder when o is divided by x(-16).
10
Let w = 3018 - 3000. What is the remainder when 1273 is divided by w?
13
Let x = 77 - 4. Calculate the remainder when (0 + -1)/(1/(-5)) - (-29751)/141 is divided by x.
70
Suppose 489 = 5*o + z, -463*z + 459*z = 4*o - 388. What is the remainder when 701 is divided by o?
15
Suppose 3*c - 465 = -438, 0 = l - 2*c - 1840. What is the remainder when l is divided by 919?
20
Suppose -4*b + h = -5*b + 9, 0 = -b - 4*h + 15. Suppose -332 = -b*r + 410. Let x = r - 4. Calculate the remainder when x is divided by 26.
24
Suppose -2*l = 4*v + 6, -2*l = -6*v + 8*v - 2. Suppose l*i + 3*q = 356, 2*i - q - 187 = -49. Calculate the remainder when i is divided by (-2)/(-3) - 109/(-3).
33
Let k = 6630 + -6583. Calculate the remainder when 397 is divided by k.
21
Suppose -13336 = -106*p - 828. What is the remainder when 476 is divided by p?
4
Let l(n) = -2*n**3 - 2*n**2 - n + 1. Let x be l(-1). Suppose 2*p = -2*z + 40, -x*z - p + 47 = -6*p. What is the remainder when z is divided by 11?
10
Suppose 0 = -25*o - 29285 + 29585. Calculate the remainder when 1328 is divided by o.
8
Suppose -5*q = -3*p + 1240, 5*q - 30*p + 35*p = -1200. Let c = 573 - q. Calculate the remainder when c is divided by 13.
12
Let b(i) = i**3 - 7*i**2 - 23*i - 7. Let p be (-15)/(-1 - 2/4). Let d(q) = q**2 + 8*q - 15. What is the remainder when b(p) is divided by d(-12)?
30
Let v(l) = l**2 + 7*l + 1. Let x be v(-5). Suppose -14*n + 13*n = -2*h - 57, 2*n - 2*h = 112. Calculate the remainder when n is divided by (-9)/(-6)*(-120)/x.
15
Suppose 0 = -9*u - 15 + 24. Calculate the remainder when u + 196 - (-7)/((-14)/4) is divided by 50.
45
Let h(w) = -82*w**3 + 2*w**2 + 8*w + 4. Let o be h(4). Calculate the remainder when 107 is divided by o/(-105)*6/8.
33
Suppose 4*x - 28 = 5*d - 3*d, -2*d - 3 = x. Suppose -109 = -x*l - 21*s + 22*s, 5*s = -3*l + 43. Let t = 5 - -73. What is the remainder when t is divided by l?
15
Let a be -2 - (3/(-2))/3*-46. Let n = 78 + a. Let v = -2 - -16. Calculate the remainder when n is divided by v.
11
Calculate the remainder when ((-149340)/(-399))/((-2)/(-70)*2) is divided by 21.
19
Calculate the remainder when 13946 is divided by (((-2)/5)/2)/(32/(-50720)).
315
Let a(t) = 720*t - 2051. Suppose 0 = -3*f - 22 + 109. What is the remainder when a(3) is divided by f?
22
Suppose 8*b - 1611 = -b. Let z be (-63)/(-42)*8/6. Let f = 43 + z. Calculate the remainder when b is divided by f.
44
Let k be (-12)/(-10)*(1 + -16). Let i be 3/k*4*-6. Suppose -i*j = -3*s + 33, -11 = -5*j + 4. Calculate the remainder when 28 is divided by s.
13
Let x = -491 - -348. Let u = -116 - x. What is the remainder when u is divided by 11?
5
Suppose 0 = -28*c + 172 + 892. What is the remainder when (c/4)/(6 - 295/50) is divided by 25?
20
Suppose 14 + 1 = -5*h. Calculate the remainder when 2*(-1)/6 + (-145)/h is divided by 37.
11
Suppose -109*j - 1838 = -8596. Calculate the remainder when 226 is divided by j.
40
Let s = -10 + 15. Suppose 83 = 4*h - 3*u - 161, 0 = -s*u. Calculate the remainder when h is divided by (-2 + -4 + 28)*1.
17
Let f = 164 + -161. Suppose -7*v - 596 = -5*n - 3*v, -2*n + 220 = f*v. What is the remainder when n is divided by 10?
6
Suppose 6 = -16*g + 2070. Calculate the remainder when g is divided by 29.
13
Let z = 1084 - 342. Suppose 363*l - 356*l = z. Calculate the remainder when l is divided by 27.
25
Let z = -1500 - -1511. Let q be (-24)/(-40) - 22/(-5). Suppose -q*k + 80 = -0*k. What is the remainder when k is divided by z?
5
Suppose 4*g - 117 = -3*y, -2*y + g - 40 = -3*y. Suppose -447 = -y*s + 4455. What is the remainder when s is divided by 57?
0
Let q(w) = -25*w - 133. Let x = -63 + 45. Let j = x - -65. What is the remainder when j is divided by q(-6)?
13
Let p be (-1 - 3/(-5))*(-2 - 58). Calculate the remainder when 43 + 1 - (25 - p) is divided by 10.
3
Let v(r) = -265*r - 439. Calculate the remainder when v(-8) is divided by 3.
1
Suppose -72 - 1 = -n. What is the remainder when n is divided by (-9 + 713)/(-16) + 52?
1
Suppose 0 = 5*y + 4*d - 169, 7*d = -5*y + 12*d + 205. Let k(q) = 82*q. What is the remainder when k(1) is divided by y?
8
Calculate the remainder when 2888 is divided by (3 - 2)/((-131)/(-5633)).
7
Let o = -476 + 2217. What is the remainder when o is divided by 21?
19
Let p = -42 - -182. Suppose -r = -8*l + 3*l - 35, -4*r = 5*l - p. What is the remainder when 138 is divided by r?
33
Suppose -4*p = 2*q - 288, 5*q - 4*p = 8*q - 420. Calculate the remainder when q is divided by 33.
0
Suppose 1182*k - 5322 = 231*k + 4188. Let z(b) = 4*b**3 - 2*b**2 + 1. Let r be 48/22 - (-8)/(-44). Calculate the remainder when z(r) is divided by k.
5
Suppose 326 = -12*u + 626. What is the remainder when 370 is divided by u?
20
Let r be ((-56)/(-6))/(140/315). Suppose r = -2*u + 47. Calculate the remainder when 68 is divided by u.
3
Let m = 3407 + -1094. What is the remainder when m is divided by 89?
88
Let w be 0*(16/64 + 3/4). Suppose 9*x + w*x - 144 = 0. What is the remainder when 91 is divided by x?
11
Let l = 5175 - 5158. What is the remainder when 112 is divided by l?
10
Suppose 4*w - 5*z + 0*z = 17227, -2*w = -8*z - 8630. Calculate the remainder when w is divided by 73.
69
Let t(j) = j**3 + 11*j**2 - 2*j + 51. Let a = -300 - -300. What is the remainder when t(a) is divided by 13?
12
Suppose -4056 = 25*j - 13*j. Let l = j + 378. Calculate the remainder when 61 is divided by l.
21
Let a be ((-20)/(-1))/(-4 + (-12)/(-4)). Let d(k) = k**2 + 24*k + 101. What is the remainder when 160 is divided by d(a)?
13
Suppose -48 = -4*w - x - 11, 3*x + 24 = 3*w. Suppose 3*n + f - 40 = 0, 2*n - 19 - w = -2*f. Calculate the remainder when 34 is divided by n.
8
Let v = 950 - 929. Let k(h) = -h**3 - 3*h**2 - 2*h - 1. Calculate the remainder when k(-5) is divided by v.
17
Suppose -5*p - 5 = -5*u, -15*p - 19 = 2*u - 10*p. What is the remainder when 112 is divided by ((-74)/7)/((-3)/((-21)/u))?
1
Suppose -6*z + 2*z - m + 101 = 0, -4*z + 104 = 4*m. Let h = z - -1. Let t = -19 + 28. What is the remainder when h is divided by t?
8
Let w = -385 - -198. Let g = -136 - w. Calculate the remainder when g is divided by 27.
24
Suppose p = 4*o + 2*p + 1443, 5*p = -3*o - 1078. Let n