ppose -3*r + 2*i + 36 = g, 21*r + 27 = 24*r + i. Calculate the remainder when 13 is divided by r.
3
Let y(n) = -44*n - 155. Let l be y(-4). Suppose 2*p + 3154 = l*p. What is the remainder when p is divided by 28?
26
Suppose -f + 4*f = 27. What is the remainder when -3*(-8)/(-108) + (-3419)/(-117) is divided by f?
2
Suppose -14*j + 16*j - 3144 = -5*c, -3152 = -2*j - 3*c. What is the remainder when j is divided by 132?
130
Let x = 5939 + -5875. What is the remainder when x is divided by 33?
31
Let u(f) = -4*f**3 - 26*f**2 + f + 83. What is the remainder when u(-18) is divided by 10?
9
Let k(p) = -p**3 - 19*p**2 - 18*p + 8. Suppose 3*d + 103*i - 20 = 104*i, 4*i + 20 = 0. Calculate the remainder when k(-18) is divided by d.
3
Let d(b) = 21*b - 1. Let o be d(1). Suppose -o = -v - 0*v. Let g(p) = -p**2 - 17*p - 18. Calculate the remainder when g(-6) is divided by v.
8
Suppose -4*a + 4*v - 1376 = -3768, -3*a = -v - 1808. Calculate the remainder when 1874 is divided by a.
59
Suppose 20*x - 2153 = -893. Suppose -82 - 38 = -t. Calculate the remainder when t is divided by x.
57
Let g = -71 - -98. Suppose g*r - 68 = 25*r. What is the remainder when 63 is divided by r?
29
Let c(s) = 3*s**3 - 2*s**2 - 1. Let a be ((-4)/(-2) - 5) + 2. Let n = a + 29. Calculate the remainder when n is divided by c(2).
13
What is the remainder when 402 is divided by (-352)/396 - 2578/(-126) - (-8)/(-14)?
3
Suppose 17*s - 1636 = -4*s + 7877. Calculate the remainder when s is divided by 13.
11
Let z = -11234 + 12883. Calculate the remainder when z is divided by 18.
11
Let l(a) = a**2 + 41*a + 460. Calculate the remainder when l(-14) is divided by 11.
5
Calculate the remainder when ((-216)/(-135))/((-16)/(-820)) is divided by 43.
39
Let y(q) = 86*q**3 - 3*q**2 - 18*q + 5. What is the remainder when y(2) is divided by 130?
125
Suppose -n - 2*n - 5*g = -57, 0 = 3*g - 9. Let r(m) = m**3 - 8*m**2 - 2*m + 4. Let h be r(8). Calculate the remainder when 4/6 - 28/h - -49 is divided by n.
10
Let k be 20/(-3)*12/10. Calculate the remainder when 138 is divided by ((-64)/24)/k*108.
30
Suppose -2*g - 6 = -4*t, -5*g - 4*t + 5 = -8. Suppose -3*m = -4*z + 584 + g, 4*z - 595 = m. What is the remainder when z is divided by 19?
17
Let t(q) = 10*q + 1. Let k(c) = 13*c - 23. Let s be k(4). Suppose s = 2*h + j, -50 = -3*h + 2*j - 10. What is the remainder when t(8) is divided by h?
11
Suppose 530 + 538 = -23*i + 1367. What is the remainder when 2097 is divided by i?
4
Let v(x) = -8*x - 16. Let y be v(-17). Let r = y - 4. What is the remainder when r is divided by 40?
36
Let r = -3269 - -3281. What is the remainder when 791 is divided by r?
11
Let g(s) = -233*s + 148. What is the remainder when g(-6) is divided by 78?
64
What is the remainder when (((-10)/6)/5)/(75/(-144675)) is divided by 66?
49
Let q(i) = -32*i - 39*i - 30*i - 62 + 134*i - 38*i. Calculate the remainder when q(-22) is divided by 19.
10
Let n(x) = 204*x**2 - 18*x - 17. Calculate the remainder when 790 is divided by n(-1).
175
Let w(a) = -2*a**3 - 83*a**2 + 126*a - 117. What is the remainder when 679 is divided by w(-43)?
7
Suppose 4*w + 4*h = 7*w + 13, h - 5 = -w. Let l(z) = 29*z**2 - 2*z + 3. What is the remainder when 107 is divided by l(w)?
17
Let q(x) be the second derivative of x**5/20 - 4*x**4/3 + 43*x**3/6 - 19*x**2/2 - 16*x + 1. Calculate the remainder when 131 is divided by q(13).
32
Let u(s) = -23*s**3 + 2*s**2 - s - 2. Let n be u(-1). Let c be 684/n*(-2)/(-3). Suppose -i + 7 = -c. What is the remainder when 77 is divided by i?
25
Let z be (-7)/14*(-5 + 1). Suppose -207 = 6*u - u - z*o, 2*o - 2 = 0. Let b = -13 - u. What is the remainder when 81 is divided by b?
25
Suppose 5*a = -2*v - 15, a = -2*v - 3 - 0. Suppose 5*t = -5*y - v*t + 580, t - 452 = -4*y. What is the remainder when y is divided by 23?
20
Suppose -37*u - 77*u + 22979 = 7475. What is the remainder when 270 is divided by u?
134
Let o = -1826 + 4918. Calculate the remainder when o is divided by 20.
12
Let w = 173 - 183. What is the remainder when -549*w/30 - (2 - -1) is divided by 14?
12
Suppose 18*r = -46*r + 896. Let m(v) = 8*v - 68. Calculate the remainder when m(22) is divided by r.
10
Let c = 5614 - 1392. What is the remainder when c is divided by 25?
22
Let q = -9897 + 10011. Calculate the remainder when 117 is divided by q.
3
What is the remainder when (-148304)/(-96) - (-50)/(-60) is divided by 86?
82
Let q be (-11)/((-275)/10)*805. Let a = q - 190. Let s = -125 + a. What is the remainder when 40 is divided by s?
5
Let a be ((-33)/(-6) + -6)*2*-17. Suppose -14*g - 96 = -a*g - t, 2*g + 2*t - 68 = 0. What is the remainder when 463 is divided by g?
29
Suppose 40*b + 343 = 45*b - n, -2*n - 6 = 0. What is the remainder when 942 is divided by b?
58
Let h(l) be the second derivative of -l**5/20 + 5*l**4/12 + l**3 - 5*l**2 - 80*l. Calculate the remainder when h(4) is divided by 14.
2
Suppose -5141 - 3619 = -73*f. What is the remainder when 8878 is divided by f?
118
Suppose 0 = 647*j - 568*j - 4108. Calculate the remainder when j is divided by 20.
12
Let u(p) = 36*p + 25. Let x be u(-3). What is the remainder when (x + 0)/((-6)/12) is divided by 42?
40
Let r be 34/8 - (3/(-4))/(-3). What is the remainder when (-1134)/(-28) + 2/4 + r is divided by (30/4)/((-3)/(-4))?
5
Suppose 5*n - n = 16. What is the remainder when 130 is divided by n?
2
Suppose -5*d + 4*d - 3*g - 250 = 0, -2*d - 491 = 3*g. Let i = -219 - d. What is the remainder when 171 is divided by i?
17
Let v(z) = -191*z - 1286. What is the remainder when v(-15) is divided by 43?
31
Suppose v + 31 - 120 = 4*j, 5*j = -10. What is the remainder when 158 is divided by v?
77
Let o = -5354 + 5371. Calculate the remainder when 809 is divided by o.
10
Suppose 3*b - 2*i + 246 = 7*b, -4*i - 148 = -2*b. Let h(d) = -72*d + 316. What is the remainder when b is divided by h(4)?
8
Let m = 3109 + -2177. What is the remainder when m is divided by 189?
176
Let v = 27 + -6. Calculate the remainder when 63 is divided by 24*(-7)/v*2*-1.
15
Let o be (18/(-39))/(3/(-39)). Suppose 0 = -o*b + 3*b + 84. What is the remainder when 222 is divided by b?
26
Let h(d) = -3*d + 53. Let c be h(16). Suppose -3*w + 94 = c*r, 5*r - w = w + 79. Calculate the remainder when 400 is divided by r.
9
Suppose -234 - 56 = 5*h. Let o = h - -70. What is the remainder when 15 is divided by (o/8)/((-5)/8 + 1)?
3
Let c = -332 - -334. Suppose -h + 477 = c*h - 5*y, -5*h - 3*y = -795. Calculate the remainder when h is divided by 6.
3
Suppose 3*x = 4*s - 47, 0*s + 3*s = -2*x + 48. Let q(t) = t**2 - 18*t + 131. Calculate the remainder when q(s) is divided by 20.
15
Let v(s) = 17*s**2 + 15*s - 11. Calculate the remainder when v(-8) is divided by 190.
7
Let t = 221 + -314. Let s = t + 165. What is the remainder when 143 is divided by s?
71
Let q(y) = 294*y - 1144. What is the remainder when 766 is divided by q(4)?
30
Let u be 3/(12/8 - 0)*13. Let y = u + -2. What is the remainder when y is divided by 12?
0
Let x = -1 - -25. Let g(w) = w**2 - 24*w + 46. Calculate the remainder when g(x) is divided by ((-8)/14)/(8/(-112)).
6
Let s = 26511 - 26226. Calculate the remainder when s is divided by 23.
9
Let c = 91 + -76. Let x be (15 + -10)*66/c. Let p = 37 - x. Calculate the remainder when 87 is divided by p.
12
Let i(x) = -33*x - 75. Let o(h) = -22*h - 49. Let j(p) = -5*i(p) + 7*o(p). Suppose 2*b = -b + 114. What is the remainder when b is divided by j(-2)?
8
Let t(z) be the first derivative of 13*z**3/6 - 19*z**2 + 40*z - 15. Let w(d) be the first derivative of t(d). What is the remainder when w(7) is divided by 18?
17
Let p(g) = -8*g + 3. Let y be p(-9). Suppose 77*n = y*n + 62. Let q = -380 + 563. Calculate the remainder when q is divided by n.
28
Let f(v) = 3*v**2 - 10*v + 12. Suppose -20 = 8*p - 12*p. Let l be f(p). Let r = l + -10. What is the remainder when r is divided by 5?
2
Let d(m) = m**2 + 5*m + 5. Suppose 0 = 4*n - 5*f - 1617, 185*f = 4*n + 188*f - 1641. Calculate the remainder when n is divided by d(-9).
39
Let n be 252/(-8) - (-2)/(-4). What is the remainder when n/(-80) - 648/(-5) is divided by 44?
42
Let t = 81 + -79. Suppose 4*s - 2*r = 30, -t*s = -5*s - 2*r + 5. What is the remainder when (26/s)/(3/45) is divided by 28?
22
Calculate the remainde