*n - 2 = 5*p - 48, 4*n = -4*p + 56. What is the remainder when s is divided by n?
11
Suppose 4*u - 18581 = -3*p + 17150, -4*p = -4*u + 35752. What is the remainder when u is divided by 60?
55
Suppose -3*x + 1367 = -5*x - 5*p, 2*x + 4*p = -1372. Let t = -390 - x. Suppose 10*i - 4*i = t. Calculate the remainder when i is divided by 26.
25
Let v = 50 - 87. Let z = -148 - -94. Let s = v - z. Calculate the remainder when 32 is divided by s.
15
Let x(y) = -86*y - 1883. What is the remainder when 88 is divided by x(-22)?
7
Let a(h) = 2*h**3 + 15*h**2 + 2*h - 16. Let r be -28*(6 + 161/(-28)). What is the remainder when 187 is divided by a(r)?
16
Let r = -480 + 564. Calculate the remainder when 752 is divided by r.
80
Let d = -679 - -704. Let m(i) = i**3 - 15*i**2 - 246*i + 4. What is the remainder when m(d) is divided by 30?
14
Let g(o) be the second derivative of -o**4/12 + 13*o**3/6 + 4*o**2 - 4*o + 6. Calculate the remainder when 56 is divided by g(12).
16
Suppose 0 = 5*a + 3*c - 7*c - 20, 10 = -3*a - 2*c. Suppose a = -5*p + 3*n + 162, -5*p = 6*n - 4*n - 142. Calculate the remainder when 58 is divided by p.
28
Let m = 1766 - 1370. What is the remainder when m is divided by 68?
56
Let h(s) = s**3 + 15*s**2 - 9*s - 27. Let r be h(-18). Let q = r + 848. Calculate the remainder when 65 is divided by q.
10
Suppose 6538 + 37607 = 304*t - 28511. What is the remainder when 11710 is divided by t?
238
Let s be (-3 - -1) + 1*2 - -2. Suppose 65 = s*r + 59. Suppose 0 = r*d - 5*i - 504 + 88, 3*d - 3*i = 426. Calculate the remainder when d is divided by 25.
22
Suppose -3*f = -8*f - 430. Suppose 0 = 3*g - 4*p - 86, -3*g - 3*p + 94 = p. What is the remainder when 2 + (8/(-4) - f) is divided by g?
26
Let u = 10607 + -10485. Calculate the remainder when u is divided by 6.
2
Let v be (496 - 0)*(-21)/(-14) + -1. Suppose 24*w - v = 1489. Calculate the remainder when w is divided by 20.
13
Suppose -1 = j - h, 5*j - 6 = h - 27. Let d(z) = z**2 + z - 6. Suppose -79*v + 195*v = 6032. What is the remainder when v is divided by d(j)?
10
Calculate the remainder when 1054 is divided by ((-46)/(-69))/((-1)/(-18)).
10
Suppose 6355 = 5*w - 5*u, 17*w - 18*w - 2*u + 1250 = 0. What is the remainder when w is divided by 31?
24
Let i be (3*9)/(10/(-20)*3). What is the remainder when 94 is divided by ((-652)/i)/1 - (-188)/(-846)?
22
Suppose -32*g - 119 = -15*g. Let x(l) = -l**2 - 12*l - 11. What is the remainder when x(g) is divided by 5?
4
Suppose -3*i = -122 - 91. Suppose 0*w - 2*w = 5*p - 390, p - i = w. Let a = p - 72. What is the remainder when a is divided by 3?
1
Suppose 2*d - 2*b = 1500, -299*b = 4*d - 297*b - 2976. What is the remainder when d is divided by 20?
6
Let c = 2022 + -1996. What is the remainder when 31 is divided by c?
5
Let m = -37 + 38. Suppose 5*g - p - m = 2, g - p - 3 = 0. Suppose 6*i - 9*i + 30 = g. What is the remainder when 24 is divided by i?
4
Suppose -20*y + 639 = -301. Calculate the remainder when (6/8)/(4/1744) is divided by y.
45
Suppose 16*r = 19*r - 6, -z = -r - 336. Calculate the remainder when z is divided by 43.
37
Let w(p) = -4*p**3 - 15*p**2 - 23*p + 2. Calculate the remainder when 126 is divided by w(-2).
6
Calculate the remainder when 674 is divided by (1224/2244)/(1/143).
50
Let l = -2475 - -2478. What is the remainder when 7 is divided by l?
1
Suppose -69 = 6*l - 231. Calculate the remainder when l is divided by 27.
0
Let n = 2825 + -2144. Calculate the remainder when n is divided by 103.
63
Let h = -2874 - -3229. What is the remainder when h is divided by 175?
5
Let s = -443 - -684. Suppose 2*q + 145 = 2*f + f, -4*f - 2*q = -198. Calculate the remainder when s is divided by f.
45
Suppose -4*x - 2*h + 5736 = 0, -3*x + 7127 = 3*h + 2825. What is the remainder when x is divided by 131?
124
Suppose 672 - 288 = 48*z. What is the remainder when 1293 is divided by z?
5
Calculate the remainder when (-21)/42 - (-205)/2 is divided by 37.
28
Let r(m) = 432*m + 3941. Calculate the remainder when r(-9) is divided by 3/6*38/1.
15
Calculate the remainder when (2 - 1)*16450/(-282)*-3 is divided by 18.
13
Let r(c) = 29*c + 5. Suppose 54*y - 58*y + 144 = -4*l, 0 = -6*y + 5*l + 211. What is the remainder when r(4) is divided by y?
28
Let j(k) = 3*k - 19. Let v(c) = c - 1. Let p(h) = -j(h) + 4*v(h). Let r = 38 + -27. Calculate the remainder when p(r) is divided by 7.
5
Suppose 0 = -2*b + 3*n + 50, 3*b + 4*n - 10 - 31 = 0. What is the remainder when (210/56)/((-26)/(-40) + (-3)/6) is divided by b?
6
Let w(i) = i**3 + 21*i**2 + 53*i + 301. What is the remainder when w(-14) is divided by 24?
19
Let o(i) = -i**3 - 3*i**2 - 4*i - 6. Suppose -390 = -13*x + 8*x. Suppose -740*n + 746*n = x. What is the remainder when o(-5) is divided by n?
12
Let f be -6*3/6 + 5. Suppose 4*w - f*w + 5*l = 24, -4*w - l + 30 = 0. What is the remainder when 47 is divided by w?
5
Let i = 1764 - 1737. Calculate the remainder when 133 is divided by i.
25
What is the remainder when 85095/20 + 2/8 is divided by 38?
37
Suppose 0 = 14*o - 16*o - c - 16, -3*o = c + 22. Let l(f) = f**3 + 11*f**2 + 15*f - 13. What is the remainder when l(o) is divided by 16?
13
Let v(m) = -m**3 - 13*m**2 + 14*m - 760. Calculate the remainder when v(-17) is divided by 41.
35
Let w(h) = -2*h**2 - 34*h - 25. Let q be w(-13). Let g = 139 - q. Calculate the remainder when g is divided by 16.
12
Let a = 3361 - 3149. What is the remainder when a is divided by 67?
11
Suppose -5*f = -2*f - 42. Let h be 228/f - 4/14. Suppose h*p + 195 = 19*p. What is the remainder when p is divided by 35?
30
Let o be (-6 - -6)/(2*-1). Suppose 2*l = -6 - o, 121 = 2*k - 5*l. What is the remainder when k is divided by ((-9)/27)/((-7)/147)?
4
Suppose -a + 4*z = 0, z - 5 - 16 = -5*a. Suppose 5*m - a*j + 205 + 255 = 0, 4*j = -3*m - 308. Let h = m - -114. What is the remainder when h is divided by 9?
0
Let v = 2657 - 2640. What is the remainder when 80 is divided by v?
12
Let r(g) = -9*g**3 - 2*g**2 - 147*g - 608. What is the remainder when r(-4) is divided by 131?
0
Let m(t) = -5*t**2 + 46*t + 24. Calculate the remainder when m(7) is divided by 97.
4
Suppose z = 2*s + 62, -5*z + 6*s - 4 = -350. Calculate the remainder when z is divided by 41 - 1*(-3 - -2).
38
Let m be (-1744)/(-6) + 26/(-39). Suppose -67*r + m = -57*r. Calculate the remainder when 102 is divided by r.
15
Suppose 21 = 3*a - 7*l + 5*l, 5 = -2*a - 5*l. What is the remainder when 59 is divided by (-1 + 4)/3 + a?
5
Suppose -3*s = 3*x - 22 - 20, 4*x + s = 50. Suppose -x = 239*d - 241*d. Calculate the remainder when 71 is divided by d.
5
Let w = 55 - 125. Let k = w + 120. Let z = k + 2. What is the remainder when z is divided by 28?
24
Suppose -2*k + 9 = -1. Suppose -6 = 2*i + i, -u - i = -k. Let q(g) = g**3 + 8*g**2 - 2*g + 11. What is the remainder when q(-8) is divided by u?
6
Let w(j) = -12*j**2 + 13*j - 1. Let m be w(1). Suppose 5*x - 3*g = 191, -x + 4*x - 2*g - 115 = m. Calculate the remainder when x is divided by 24.
13
Calculate the remainder when 10074/92*(-5)/(30/(-4)) is divided by 13.
8
Let c(l) = 125*l + 1725. Let i = 41 - 24. What is the remainder when c(-13) is divided by i?
15
Let f = 5582 + -1989. What is the remainder when f is divided by 4?
1
Let u be (8*7/(-70))/((-4)/450). Suppose -5*a + 316 = 4*t, 4*a = -4*t + 3*t + u. What is the remainder when t is divided by 9?
2
Let g(q) = -5*q. Let f be g(-3). Let a(n) = -2*n + 37. Let h(c) = -3*c - 57. Calculate the remainder when h(-32) is divided by a(f).
4
Suppose 17*f - 16 = 52. Suppose 4*x + f*g + 62 - 394 = 0, -3*x + 3*g = -231. What is the remainder when x is divided by 12?
8
Suppose 2*o - 20 = 3*h, -h + 20 = 3*o - 2*o. Calculate the remainder when o is divided by 9 - (-1)/(0 - 0 - -1).
6
Suppose 13*n + 18 = 19*n. Suppose -n*v + 54 = 2*b, 3*b - 25 = -5*v + 66. Calculate the remainder when v is divided by 66/15*(-5)/(-2).
9
Let b = -35 + 65. What is the remainder when -21*28/2*-5*9/90 is divided by b?
27
Let f(j) = 22*j**3 + 2*j**2 - 2*j + 3. Let c = 12323 + -12276. What is the remainder when f(3) is divided by c?
45
Let q = 336 - 800. Calculate the remainder when 142 is divided by 3/(-5) + q/(-40).
10
Suppose 0 = -5*l + 4*n + 31574, -169*l + 172*l - 2*n - 18942 = 0. What is the remainder when l is divided by 243?
