 when k(-4) is divided by t.
19
Suppose -89*w + 83*w = -462. Suppose 2*t - 18 = -n + t, -w = -4*n + t. Calculate the remainder when 42 is divided by n.
4
Suppose -16 = -4*o, 4*y - 5*o = -5 + 169. Suppose -4*x + 2 + y = 0. Calculate the remainder when 46 is divided by x.
10
Let f(d) be the first derivative of -5*d**3/3 - 85*d**2/2 + 21*d + 43. What is the remainder when f(-17) is divided by 10?
1
Let f be (3 - 111)/(0 + 1). Suppose -j + 5*j = 112. Calculate the remainder when j is divided by 405/f*4/(-3).
3
Suppose -32181 - 14163 = -4*l + 2*q, l - 11581 = -2*q. What is the remainder when l is divided by 63?
56
Let l = -35 - -78. Let o(u) = 551*u**2 - 3*u - 3. Let d be o(-1). Suppose d + 338 = 7*z. What is the remainder when z is divided by l?
41
Suppose -3374 - 2566 = -12*l. Suppose 33*x = 28*x + l. Suppose 3*f - 14 = 37. What is the remainder when x is divided by f?
14
Suppose 5*r = -4*c + 2*c + 141, -2*c - 4*r + 142 = 0. Suppose -1287 = -c*u + 62*u. Calculate the remainder when u is divided by 42.
33
Suppose 0 = -r - 22 + 23. Suppose 3*d - 2 - 7 = 0. What is the remainder when (2 - r)/((-5)/(-15)) is divided by d?
0
What is the remainder when 3229 is divided by 2/71 + (-190680)/(-5964)?
29
Let i(t) = 5*t**2 - 16*t - 47. Calculate the remainder when i(-18) is divided by 620.
1
Let k(i) = 6*i + 74. Let y be k(-12). Suppose -u = -y*z + 410, 1015 = 5*z + 8*u - 13*u. Calculate the remainder when z is divided by 30.
27
Let o(l) = -128*l**3 + 26*l**2 + 6*l + 9. What is the remainder when o(-2) is divided by 10?
5
Suppose -d = 2*d - 21. Let t = -252323 - -252889. What is the remainder when t is divided by d?
6
Let b be (7 + 0)*300/(-14). Let k be 28*(32/(-4))/32. Let y = k - b. Calculate the remainder when y is divided by 36.
35
Suppose 2*x - 4*g - 3 - 51 = 0, -59 = -2*x - g. What is the remainder when 294 is divided by x?
4
Let h be -6*(-6)/(-9) + (-3 - -1). Calculate the remainder when ((-2)/6)/(1/(-57)) is divided by h - (6 + -9) - 2*-7.
8
Let c(r) = 86*r + 392. Calculate the remainder when 1602 is divided by c(-3).
128
Suppose 5*f - 5*g - 8152 = 3228, g = 4. Suppose 18*q - 15*q - f = 0. Calculate the remainder when (-4)/(-14) + q/35 is divided by 6.
4
Suppose 2*h - 2*k = 16, 5*k + 39 = h + 11. Suppose 2*p + 3*q - 691 = -3*p, 4*p + h*q = 551. Calculate the remainder when p is divided by 37.
29
Suppose 4*s - 18 + 14 = 0. Let c(t) = 6*t**3 - 2*t**2 - 2*t + 2. What is the remainder when 10 is divided by c(s)?
2
Let k = 23646 - 23423. What is the remainder when 1500 is divided by k?
162
Let a be (-7 - (-5 - 1))*-37. Suppose -4*v = -2*x - 70, x - a = -3*v + 3. Calculate the remainder when 147 is divided by v.
12
Let k = -18678 + 18902. Calculate the remainder when 787 is divided by k.
115
Suppose -1000 = -5*q - 3*q - 12*q. What is the remainder when 4493 is divided by q?
43
Suppose 0 = j + g - 211, 5*g - 8*g = -3*j + 651. Calculate the remainder when j is divided by 60.
34
Let l(j) = 8*j + 40. Let t be l(-5). Let f be (t/3)/(-4 + 3). Suppose 4*o = -f*o + r + 18, 5*r = 4*o - 10. What is the remainder when o is divided by 2?
1
Suppose 9*t = 3 + 24. Let c be 4/1 - (11 + t)/2. What is the remainder when 73 is divided by -2*c/(-6)*-31?
11
Let d = 2326 + -2061. Calculate the remainder when 2657 is divided by d.
7
Let z = -871 + 875. Suppose -382 = -z*d + 370. Calculate the remainder when d is divided by 14.
6
Let d(a) = 61*a + 2168. What is the remainder when d(-17) is divided by 27?
24
Suppose -15*s - 136 = -3*m - 868, -3*s = -3*m - 144. Suppose -2*b - 5 + 33 = 0. Calculate the remainder when 180 is divided by 186/b - 14/s.
11
Let f = -24 - -26. Let b(j) = 2*j + 1. Let a be b(f). Suppose 5*k - 93 = 3*h, -2*k + 3*h = -a*k + 75. What is the remainder when k is divided by 6?
3
Let r(l) be the first derivative of -l**4/4 + 11*l**3/3 + l**2 - 20*l + 4. Let x be r(11). What is the remainder when (1 + x)*71/3 is divided by 18?
17
Let d(c) = -2*c**2 - 22 - 9*c + 14*c**2 - 11*c**2 + 8. Let m be d(10). What is the remainder when 27 is divided by (-50)/m + -2 - 8/(-16)?
5
Let o(t) = t**3 - 16*t**2 + 25*t + 51. What is the remainder when (-1 - 0) + (2 - -77) is divided by o(14)?
6
Suppose -18463 = 45*n - 60358. Calculate the remainder when n is divided by 24.
19
Let p = 2567 - 2347. Calculate the remainder when 450 is divided by p.
10
Suppose 77*b + 11*b + 170 - 3602 = 0. Calculate the remainder when 109 is divided by b.
31
Let k be 9/6 - 14*1/(-4). Suppose -3*x + 38 - 361 = -2*b, -4*b + 613 = k*x. What is the remainder when b is divided by 8?
5
Let d(n) = -7*n - 89. Let v be d(-13). Suppose 4*s - 112 = v*g, 2*s - 2*g - 56 = g. What is the remainder when 304 is divided by s?
24
Let n(z) = -7*z - 190. Let l be (30/(-9))/((-2)/(-18)). Calculate the remainder when 136 is divided by n(l).
16
Suppose 0 = 5*z - 5*q - 190, 2*z + 3*q + 4 = 100. Suppose -65 = -3*c + 37. What is the remainder when z is divided by c?
8
Let g(f) = -f**2 + 37*f + 83. Let h be g(39). Suppose q + 42 = -l + 48, 0 = h*l + 2*q - 27. What is the remainder when 60 is divided by l?
0
Let d = 5512 - 4825. What is the remainder when d is divided by 13?
11
Let c(p) = 2*p**3 - 52*p**2 + 9*p - 198. Suppose -4*o = -3*q + o + 32, -4*q - 2*o = -86. Calculate the remainder when c(26) is divided by q.
17
Let k(u) = u - 52. Let j(y) = y + 1. Let b(x) = 6*j(x) - 2*k(x). Calculate the remainder when b(-20) is divided by 7.
2
Calculate the remainder when 60/16 - (-16105)/20 is divided by 30.
29
Let z = -940 - -1424. Suppose 5*n + z = -6*n. Let b = 68 + n. What is the remainder when 93 is divided by b?
21
Let x be -3 + (21 - (-4 + 4)). Suppose -4*q - 4*s + 76 = 0, -q + 2*s + x = q. Let f(b) = 15*b - 156. What is the remainder when f(13) is divided by q?
11
Let r = 31 + -41. Let c(n) = n**3 + 14*n**2 + 35*n + 25. Calculate the remainder when c(r) is divided by 16.
11
Let k = 13023 + -12914. Let v(m) = m**3 + 6*m**2 + 4*m - 5. Let p be v(-5). Suppose 0 = -x - p*x + 28. Calculate the remainder when k is divided by x.
25
Suppose -35*d + 32*d = -60. Suppose 2*u = -5*c + d, 0 = -3*c + 3*u - 21 + 12. Calculate the remainder when 4 is divided by c.
0
Let w = -66 - -71. Suppose w*r - 6*r = -84. Suppose -53*c = -56*c + r. What is the remainder when 107 is divided by c?
23
Let b = -863 - -880. What is the remainder when 34 is divided by b + (-9 - 0) + 11?
15
Suppose -23*t + 713 = -0*t - 0*t. Calculate the remainder when 130 is divided by t.
6
Let t(k) = -2*k**3 - 5*k**2 + 16*k + 4. Let q be t(5). Let i = q + 301. Calculate the remainder when 27 is divided by i.
7
Let l = -6356 - -6571. Calculate the remainder when 1505 is divided by l.
0
Suppose -16 = 5*i - 9*i. Suppose i*c - 92 = -2*k + 8*c, 2*k - c = 89. What is the remainder when 83 is divided by k?
39
Let z(s) = -24*s**3 + 4*s**2 - 71*s - 569. What is the remainder when z(-8) is divided by 65?
63
Let n(a) = 5*a + 30. Let y be n(-6). Let h(z) = 2*z**2 + 2*z + 39. Calculate the remainder when h(y) is divided by 11.
6
What is the remainder when 2342 is divided by ((-4 - -3) + 2)/(4 + (-201)/51)?
13
What is the remainder when 4980 is divided by -8 - (5 - 4*(-198)/(-12))?
51
Let p(t) = 2*t**2 - 44*t + 30. Suppose 9*z + 476 = 11*z. What is the remainder when z is divided by p(22)?
28
Let y = -160 - -274. Suppose -y = -3*w - 102. What is the remainder when 15 is divided by w/14 - 975/(-91)?
4
Let n(o) be the third derivative of o**6/120 - o**5/15 + o**3/3 + 38*o**2. Calculate the remainder when 129 is divided by n(5).
21
Let s = 8 - -15. Let x(n) = -3*n**3 + n**2 + 12*n - 3. What is the remainder when x(-4) is divided by s?
19
Let i = 1611 + -1559. What is the remainder when 1279 is divided by i?
31
Let l = -8393 + 8399. Calculate the remainder when 1372 is divided by l.
4
Let t = -66 + 62. What is the remainder when 3 + -5 + t/2 - -192 is divided by 39?
32
Let r = 81 + -51. Calculate the remainder when (-135)/(-54)*(-460)/(-25) is divided by r.
16
What is the remainder when (5168/(-544) + 9/2)/(2/(-214)) is divided by 528?
7
Let b = 595 - 575. Let o = 61 - 34. Suppose t = 4*i - o, 3*t = -i + t + 9. Calculate the remainder when b is divided by i.
6
Suppose 5*y + 1101 = 26*y + 576. Calculate the remainder when 1116 is divided by y.
16
Suppose -k - 5 = -7, 0 = 3*o - 3*k - 438. What