8, 0 = 4*n + 2*h - 61 - b. What is the remainder when 31 is divided by n?
3
Suppose 4*n + 1750 = 2*z, 4*n = 2*z + 2*z - 1748. Let r = 458 + n. Let x(g) = 8*g**2 - 2*g - 2. What is the remainder when x(-3) is divided by r?
16
Suppose a + j = 7, -1206*a + 1202*a + 105 = -3*j. Calculate the remainder when -1 - (2 - (88 + 2)) is divided by a.
15
Let d = 48 + -31. Suppose 2022*i - 36556 = 98918. Calculate the remainder when i is divided by d.
16
Let p(h) = -h**2 + 181*h - 2840. Calculate the remainder when p(21) is divided by 5.
0
Let t(s) = -17*s + 214. Let q = -174 + 360. What is the remainder when q is divided by t(11)?
24
What is the remainder when 659633/260 - 10/200 is divided by 47?
46
Suppose -280 = -2*f - 3*f. Suppose -3*k + 4*v = -42, 2*k + 2*k + 2*v - f = 0. What is the remainder when 7 - 30/3*-2 is divided by k?
13
Let h(s) = -s**3 + 25*s**2 - 23*s - 19. Let p be h(24). Suppose -3*z = 20 - p. Let b(d) = -d**2 - 3*d + 14. What is the remainder when 58 is divided by b(z)?
2
Let h(a) = -9*a + 1. Let s(l) = -l**3 + 8*l**2 + 7*l + 14. Let r be s(9). Calculate the remainder when h(r) is divided by 9.
1
Suppose 2*j - 15 = 5*o, 65 = 3*j + o - 0*o. Let w(m) = m**3 - 6*m**2 + 5*m + 8. Let a = -10 + 16. Calculate the remainder when w(a) is divided by j.
18
Suppose -3*s = 4 - 16. Suppose -41 = -s*o - 9. What is the remainder when 75 is divided by 19*(o/4 + -1)?
18
Suppose -4*z - 4*p = -p - 160, 0 = 3*z + 3*p - 120. Calculate the remainder when 171 is divided by z.
11
Let l = -801 + 845. What is the remainder when 708 is divided by l?
4
Let l = 52 - -30. Suppose 4*q + 848 = 2*c, -8*q + 10*q - 10 = 0. Suppose -c*v = -428*v - 168. Calculate the remainder when l is divided by v.
26
Let w(h) = -8*h + 156. Let r(q) = -9*q - 14. Let a be r(-6). Let t = -9 + a. Calculate the remainder when t is divided by w(18).
7
Let k(j) = j**3 - 28*j**2 + 28*j + 14. Let r = -64 + 91. Calculate the remainder when k(r) is divided by 27.
14
Let n = -739 - -790. Suppose -3*p + 99 = l + 3*l, 3*p = -2*l + 45. Calculate the remainder when l is divided by (-618)/n - -12 - 174/(-34).
2
Let t be (-80)/(-35) - (-8)/(-28). Suppose t*c = -4*c + 24. Suppose -6*f = -0*f - 102. Calculate the remainder when f is divided by c.
1
Suppose -3*w + 22 + 29 = 0. Suppose u - 21 = 3*t, -3*u + 2*t - 18 = -53. Suppose -w*m + 104 = -u*m. What is the remainder when 18 is divided by m?
5
Let l = -369867 - -369904. Let w = 20 + 2. What is the remainder when l is divided by w?
15
Suppose -336*t + 100 = -332*t. Suppose -2*q + 171 = 5*p - 0*q, 0 = -p - 5*q + t. Calculate the remainder when 98 is divided by p.
28
Let j(b) = -10*b**2 - 30*b + 2*b**3 - 6*b**2 - 14 + 0*b**2 - 15*b**2 - b**3. What is the remainder when j(32) is divided by 20?
10
Suppose -12*v - 57 = 27. Let u(w) = -w. Let c be u(v). Calculate the remainder when 24 is divided by -3*(-2 - -1)*1 + c.
4
Suppose 0 = -5*s + 145 + 70. Let y = 27 + -11. What is the remainder when s is divided by y?
11
Let u(f) = -6*f - 9. Let p be u(-2). Suppose d - p*j - 115 = 0, -d + 107 = 7*j - 8*j. Calculate the remainder when d is divided by 16.
7
Suppose -3*a - 4905 = -8*a - 10*a. What is the remainder when a is divided by 67?
59
Let r be ((-1)/4)/(11/(-88)). What is the remainder when (7/(49/161))/(1/r) is divided by 12?
10
Let k(o) = -1. Let n(y) = -y**3 - 3*y**2 - 4*y + 2. Let m(s) = 6*k(s) + n(s). What is the remainder when (-2 - -1)/(8/(-232)) is divided by m(-3)?
5
Let g(h) = -45*h + 4. Let i(v) = -2*v. Let r(o) = -g(o) - 6*i(o). Calculate the remainder when 105 is divided by r(1).
52
Suppose 0 = 3*w + 257 + 1258. Let q = w + 515. What is the remainder when 139 is divided by q?
9
Let x be 10/2 - (-10 + -4 + 17). What is the remainder when (12/(-15))/(1/(x - 102)) is divided by 60?
20
Let k(q) be the first derivative of q**3/3 - 7*q**2/2 - 62*q - 109. Calculate the remainder when 70 is divided by k(13).
6
What is the remainder when ((-312)/130)/(4/(-13790)) is divided by 17?
12
Calculate the remainder when 692 is divided by 660/(15 - 11) + 12.
161
Let t(u) = -u**3 - 8*u**2 - 2*u + 8. Suppose -v + 2 = 3, 5*x - 2*v - 122 = 0. Suppose 0 = 3*g - 6*g - x. What is the remainder when 91 is divided by t(g)?
19
Suppose 429*d + 6*d - 1749 - 28266 = 0. What is the remainder when 305 is divided by d?
29
Let w = 1371 + -1298. Let l(p) = 61*p - 17. What is the remainder when l(5) is divided by w?
69
Suppose -2*z = 2*z - 1052. Let g = 136721 - 136710. What is the remainder when z is divided by g?
10
Let p = 5391 + -5251. Calculate the remainder when p is divided by 3 - (-4 + 60/(-2)).
29
Suppose -171*r = -187*r + 23536. Calculate the remainder when r is divided by 36.
31
Suppose 0 = -5*r + 3*z + 35, 47 - 12 = 5*r + 3*z. Suppose -2*x - 4*h - 21 = r, x = -5*h - 26. Let f = 35 - x. What is the remainder when f is divided by 7?
6
Suppose 6*k = -4*j + 3*k + 8, -3*j + 19 = -k. What is the remainder when (4 - ((-4)/(-8) + 0))*1116/63 is divided by j?
2
Let v(n) = -2*n**3 - 34*n**2 - 69*n + 135. Calculate the remainder when 807 is divided by v(-15).
267
Let c(n) = n**3 - 15*n**2 - 95*n - 73. What is the remainder when 40 is divided by c(20)?
13
Let k(a) = 3*a**2 + a. Let r = 41 - 94. Let x = r - -93. Calculate the remainder when x is divided by k(2).
12
Suppose 47 = 8*q + 4 + 3. What is the remainder when 513 is divided by q?
3
Suppose 8 + 18 = k. Suppose 21 = -2*q + 3*l, 3*l + 24 = -3*q + 5*l. Let d = q + k. What is the remainder when 58 is divided by d?
18
Calculate the remainder when (-53)/(-4)*(1 + 3) is divided by (-3)/6 - (-4161)/146.
25
Let p(k) = 3*k**2 - 33*k + 27. Let g be p(12). What is the remainder when 93 is divided by (-48)/8*g/(-7)?
39
Let i = 285 + -275. Suppose -i*s + 33*s - 1909 = 0. What is the remainder when s is divided by 23?
14
Let h(j) = j**3 - 19*j**2 + 116*j - 18. What is the remainder when 1029 is divided by h(8)?
205
Let u = -8982 - -9001. Calculate the remainder when 1727 is divided by u.
17
Let w(s) = s**2 + 257*s + 1535. Calculate the remainder when 53 is divided by w(-6).
24
Let n(t) be the first derivative of 32*t**3/3 - t**2 + 36. What is the remainder when n(1) is divided by 9?
3
Let k(c) = c**3 + 5*c**2 - 11*c - 14. Let x be k(-6). Suppose -17 = -4*w + 3*w. Suppose 0 = -w*l + x*l + 81. What is the remainder when l is divided by 21?
18
Suppose -3*v - 3 = b - 0, 5*b + 2*v = -15. Suppose -2*j = -3*j + 129. Calculate the remainder when j is divided by ((-5)/15)/(b/132)*3.
41
Let b be (9/(-18))/((-2)/12). Suppose 0 = -2*w - b*m - 1, 4*w + w - 17 = -m. Calculate the remainder when -1*w*(1 + 332/(-16)) is divided by 22.
13
Suppose 12*v + 407 = 131. Calculate the remainder when (-20 - v)*(-25)/(-3) is divided by 13.
12
Let h be -3*24/18 + 3*4. Suppose 0 = h*i - 1 - 15. What is the remainder when 17 is divided by i?
1
Let c = -67844 - -67855. Let l(f) = 94*f**2 + 2*f - 1. What is the remainder when l(-2) is divided by c?
8
Suppose -10*a + 3150 = -3*a. Suppose -4*w + 3*x + a = 0, 3*w + 0*w - x = 335. Let s = 134 - w. Calculate the remainder when s is divided by 8.
7
Let a = -157 - -97. Calculate the remainder when 464 is divided by a/14*203/(-58).
14
Let g = -6310 + 6610. Calculate the remainder when g is divided by 83.
51
Suppose 4*k = -u - u + 100, u + 58 = 2*k. What is the remainder when 6/k - (-626)/18 is divided by 5 - (-3*(-12)/18 - 3)?
5
Suppose -36*f - 963 = -45*f. What is the remainder when 1388 is divided by f?
104
Let u(a) be the second derivative of -a**5/20 - 7*a**4/6 - 19*a**3/6 - 29*a**2 - 3*a + 6. Calculate the remainder when 239 is divided by u(-13).
19
Let v(f) = -f**3 - 17*f**2 - 32*f - 21. Let m(o) = 3*o - 3. Let u be m(-4). What is the remainder when 46 is divided by v(u)?
1
Suppose -7*w - 20 = -152 - 36. Let s(t) = -10*t - 11. Calculate the remainder when s(-8) is divided by w.
21
Let r be (-2)/(-6) - 1/3. Suppose 0 = -2*w - 4, -7*v + 8*v = 4*w + 16. Suppose r = i, -j + 2*i + 5 = -v. What is the remainder when 23 is divided by j?
10
Suppose 0 = a + 2*a - 6. Suppose 110*y = 392 + 268. What is the remainder when y is divided by a?
0
Let r(y) = 82*y - 65. Let l be r(10). Let p = 758 - l. What is the remainder when 21 is divided by p?
0
Suppose 2*j = 4*h + 5558, 2*j + 9*h - 11*h = 5566. Calculate the remainder when j is divided b