 r = k - n. What is the remainder when r is divided by 4?
3
Let k(p) be the second derivative of p**3/3 + 5*p**2/2 + 16*p. Let s(b) = -6*b + 28. What is the remainder when k(6) is divided by s(3)?
7
Let s(r) be the third derivative of 11*r**4/12 - 13*r**3/6 - 28*r**2 - 2. Calculate the remainder when s(10) is divided by 52.
51
Suppose 26*p - 2893 = 15*p. Calculate the remainder when p is divided by 258/21 - 14/49.
11
Let w = -46 + 90. Let t = 31 - w. Let b = 15 + t. What is the remainder when 8 is divided by b?
0
Let n(d) = -d**3 + 39*d**2 - 64*d + 103. What is the remainder when n(36) is divided by 26?
23
Let n = 20515 - 20449. Calculate the remainder when 506 is divided by n.
44
Suppose -6350 = 231*o - 8673 - 12230. Calculate the remainder when 12219 is divided by o.
60
Let x(r) = -r**3 - 9*r**2 - 11*r + 8. Suppose 29*h - 33*h = 32. Let j(s) = -126*s - 1. What is the remainder when j(-1) is divided by x(h)?
29
Suppose -2*b - 3*j = -127, 4*b + b - 286 = 3*j. Let h = 7354 + -7282. Calculate the remainder when h is divided by b.
13
Suppose -7*p = -2*p - 15. Suppose -19*f - 37 - 153 = 0. Let u(n) = n**2 + n - 85. Calculate the remainder when u(f) is divided by p.
2
What is the remainder when 1 + -5*(0 + -25) is divided by ((-48)/120*10/4)/((-108)/3348)?
2
Let h = 541 - 430. Suppose 2*k - h + 13 = 0. What is the remainder when k is divided by 10?
9
Let m = -93 - -140. Let q = -58 + 70. What is the remainder when (m/(-3))/(5/(-30)) is divided by q?
10
Suppose -1025 - 555 = -10*g. What is the remainder when 66 is divided by (-24)/32 + 1 + g/8?
6
Let y(m) = 7*m**2 - 62*m + 708. What is the remainder when y(30) is divided by 56?
52
Suppose 0 = 5*d - 0 + 10. Suppose -2141 = 418*p + 168*p - 1595 - 5820. What is the remainder when 35 - 4*d/(-4) is divided by p?
6
Suppose 7*c - 5*c = 15*c - 5798. What is the remainder when c is divided by 32?
30
Let l(j) = 729*j**2 - 367*j + 8. Calculate the remainder when l(5) is divided by 71.
68
Suppose -5*l = 4*s - 503, -2*l - 4*s + 197 = -s. Suppose -j + l = 4*k - 8, -5*k + 5*j = -120. What is the remainder when k is divided by 3?
0
Suppose -53 = -33*j + 32*j + 3*g, -3*j + 181 = 2*g. What is the remainder when j is divided by 36?
23
Let j(r) = -114*r + 802. Suppose 2*v + 0*v = 2. What is the remainder when (-2 - -23) + v + 1 is divided by j(7)?
3
Let p(v) = v**2 - 4*v + 91. Calculate the remainder when p(32) is divided by 493.
1
Suppose -5*m + 192 = -w, -w = -3*m - 0*m + 114. Let u = -255 - -423. Suppose 10*r - 32 = u. Calculate the remainder when m is divided by r.
19
Let g = -8460 - -8565. Calculate the remainder when 951 is divided by g.
6
Let n(j) = -j**3 - 2*j**2 + 2*j - 5. Let f be n(3). Let x = f + 49. Suppose -2*g - x*k + 3*k = -60, -k = -g + 26. What is the remainder when g is divided by 8?
4
Suppose 305 = 5*s - 5*a, 47 = 3*s - 4*a - 136. What is the remainder when 6342 is divided by s?
59
Let r(w) = 4*w**3 + 2*w**2 + 2*w - 2. Let d be r(-2). What is the remainder when 1/(-2)*138/(-3) is divided by (-12)/10*d/4?
5
Let a be 9/9 - (2 + (-5 - 0)). Suppose a*f = f - k + 82, -48 = -2*f - 4*k. What is the remainder when 108 is divided by f?
24
Suppose -4*i + 12 = n - 3*n, -3*n + 14 = 2*i. Suppose -i*r = -72 - 8. Let h = 994 - 917. Calculate the remainder when h is divided by r.
17
Suppose 17*p + 1 = 18*p. Suppose -4*q - c = -195, 2*c + p - 7 = 0. Calculate the remainder when q is divided by 15.
3
Let n(w) = 6*w**3 - 4*w**2 - 3*w + 6. Let r = -44 - -46. Calculate the remainder when 61 is divided by n(r).
29
Let a be ((-4)/(-4))/((-2)/(-74)). Suppose -4*f + m + 50 = -m, -a = -2*f + 5*m. Let d = -177 - -218. Calculate the remainder when d is divided by f.
8
Let h be 2 + 1 + 1 - -21. Suppose -2*o = 3*o - h. Calculate the remainder when 3 is divided by (-8 - (-4)/1) + o.
0
Let v(h) = -h**2 + 150*h - 1789. What is the remainder when 584 is divided by v(15)?
112
Let y be (4 - 4)/((-2)/1). Suppose 5*n - 6*n = y. Suppose 3*s - 21 - 6 = n. What is the remainder when 25 is divided by s?
7
Let z = -349 + 431. Suppose -96*m + 896 = -z*m. Calculate the remainder when m is divided by 39.
25
Let y be ((-16)/14)/2*21/(-6). Suppose 0 = -y*s + 3 + 7. Calculate the remainder when 111 is divided by s.
1
Suppose -3*x - 56 = -2*k + 360, 5*k - 5*x = 1030. Suppose 5*g - 45 - 110 = 0. Calculate the remainder when k is divided by g.
16
Let j(x) = -2*x + 51. Let c be j(23). Suppose -5*r - 22 = g, 0*r - 14 = -3*g + c*r. What is the remainder when (660/48)/(g*(-2)/16) is divided by 19?
17
Let t = -5847 + 5934. Let g(m) = -m**3 - 2*m**2 - 2*m + 5. What is the remainder when t is divided by g(-4)?
42
Let p = -63 - -62. Let n be -4 - -5 - ((p - -2) + -59). Suppose n = 2*k + 1. Calculate the remainder when k is divided by 6.
5
Suppose -2*a + 10 = 2. Suppose i + a*p - 56 = 27, -4*p = 4*i - 284. Let q = 171 - i. What is the remainder when q is divided by 27?
23
Suppose -215 - 105 = -5*l. Suppose -97 = -b - l. Calculate the remainder when b is divided by 17.
16
Let b(a) = 3*a**3 - 12*a**2 + 101*a - 85. What is the remainder when b(7) is divided by 68?
43
Let i be (-4)/18 + 6400/45 + 1. Suppose -i*f = -w - 142*f + 159, -3*f + 139 = w. Calculate the remainder when w is divided by 4*(-1 + (-15)/(-2)).
24
Let i = 58 + -50. Suppose i*s - 151 = 17. Suppose 16*r - s*r + 360 = 0. Calculate the remainder when r is divided by 19.
15
Suppose 1515 = 24*s - 9*s. Let z = -23 + s. What is the remainder when z is divided by 16?
14
Let v(f) = 22*f**2 + 8*f + 9. Let h be v(-2). Let q = -109 + 61. Let l = q + h. What is the remainder when 96 is divided by l?
30
Let l = 5554 + -5488. What is the remainder when 244 is divided by l?
46
Suppose 4*c - 15331 = 3*w, 18890 = 4*c + 3*w + 3541. What is the remainder when c is divided by 167?
161
Suppose 5*x = -4*p + 2583, -4*p + 9*p = -4*x + 3222. Let w = p - 609. Calculate the remainder when w is divided by 15.
3
Let g = -336 + 585. Let o = g + -135. What is the remainder when o is divided by 60?
54
Let s = -1428 + 2180. What is the remainder when s is divided by 42?
38
Let m = -2775 - -2794. What is the remainder when (4 + 4)/(-2) - -41 is divided by m?
18
Let y(u) = 3 + 2*u**2 + 12 - 6*u - 14 - u**3 + u. Let g be y(2). Let t(f) = f**2 + 6*f - 22. Calculate the remainder when 22 is divided by t(g).
2
What is the remainder when (3/(153/34))/(2/4614) is divided by 178?
114
Let q be 2/(14/1701) + 1*-1. Let h be (-1)/5 + q/10. Calculate the remainder when 36/h*70/3 is divided by 18.
17
Suppose -m = -4*d + m + 6, 5*m = -2*d + 9. Suppose 2*u + d*p = -78, u + p + 30 = 3*p. Let i = -5 - u. Calculate the remainder when i is divided by 12.
7
Suppose -2*c = 2*p - 3312 + 712, c - 6480 = -5*p. Calculate the remainder when p is divided by 48.
47
Let q(w) = -5*w - 35. Let b = -24 - -9. Let j = -178 - -192. What is the remainder when q(b) is divided by j?
12
Let b(o) = 180*o**2 - 8*o - 49. Calculate the remainder when b(3) is divided by 195.
182
Let k = 516 + -105. Calculate the remainder when k is divided by 100.
11
Let n = -20090 + 20683. What is the remainder when n is divided by 27?
26
Let f(j) = 99*j - 435. Calculate the remainder when f(7) is divided by 24.
18
Let i = -5001 - -5045. Calculate the remainder when 29257 is divided by i.
41
Let u(y) = -73*y - 325. Let g be 1 + (-106)/16 - (-198)/(-528). Calculate the remainder when u(g) is divided by 5.
3
Let s(a) = -a**2 - 19*a - 26. Let z = -1 - 15. Let l be s(z). Suppose -5*i + 107 = l. Calculate the remainder when i is divided by 10.
7
Let b = -243 - -261. Suppose 3*g - 11 = w - 2*w, -5*g + 29 = -w. What is the remainder when b is divided by g?
3
Let w(v) = 2*v**3 - 17*v**2 + 23*v - 57. Let b be w(8). Suppose -b = 7*x - 273. Calculate the remainder when 48 is divided by x.
18
Let d(n) = n**2 - 11*n + 30. Let g be d(7). Calculate the remainder when 16 is divided by g/(-2)*(-1 - (-48)/(-8)).
2
Suppose 3*b - 9*b + 183 = -555. Calculate the remainder when b is divided by 54.
15
Let o(h) = -4*h**2 - 2*h + 442. Let f be o(0). Let q = f - 268. Calculate the remainder when q is divided by 44.
42
Suppose -u = 5*o - 51, -4 - 62 = -u - 2*o. Calculate the remainder when 93 is divided by u.
17
Suppose 22*z - 18*z + 32 = 0. Calculate the remainder when (-1360)/z*6/10 is divided by 15.
12
Let g(