ded by w.
13
Let l(i) = 3*i**2 + 6*i - 5. What is the remainder when l(-7) is divided by 57 + (-9)/(-6)*(-8)/72*30?
48
Let m = 1277 + 458. What is the remainder when m is divided by 19?
6
Let k(q) = -q**3 + 13*q**2 + 31*q + 17. Suppose -11*c = 27 - 192. Calculate the remainder when k(c) is divided by 26.
6
Suppose 2*l - 16 = -0*u + 2*u, 5*l - 8 = -3*u. Let w = 8 + l. Calculate the remainder when (-21)/(-14)*(-3174)/(-207) is divided by w.
11
Let c be (-35)/(-7) - (-1 - -4). Let u be c - (2 - -3) - -9. Suppose 0 = -u*o + 13*o - 427. Calculate the remainder when o is divided by 21.
19
Let f(m) = m**2 - 7*m - 13. Let q be (2/3)/(6/333). Suppose 0 = 3*s + 5*n - 26, 5*s + n + n = q. Calculate the remainder when s is divided by f(9).
2
Suppose 0 = w - 3 - 12. Let m = 100 + -389. Let k = -185 - m. Calculate the remainder when k is divided by w.
14
Suppose 174 - 41 = a + 3*c, a + c = 143. What is the remainder when a is divided by 57?
34
Let p = -10 + 7. Let t = p - -56. Suppose 3815*m = 3809*m + 96. What is the remainder when t is divided by m?
5
Suppose -420*v + 7830 = -415*v. Suppose -106 = -44*b + v. Calculate the remainder when b is divided by 20.
18
Let f(k) be the third derivative of k**5/6 + k**4/6 - k**3/6 + 2*k**2. What is the remainder when f(-3) is divided by 2/(-6) - ((-121)/3 - (11 - 12))?
38
Suppose -4*i + 8*i = 212. Let d(a) = a**3 - 31*a**2 + 4*a + 137. What is the remainder when d(31) is divided by i?
49
Suppose 0 = -5*p - u + 498, -151*u - 6 = -148*u. Calculate the remainder when 975 is divided by p.
75
Let v(d) = 212*d - 733. What is the remainder when v(63) is divided by 207?
203
Let o be 1/(-10) + (-14)/(-140). Suppose 3*i = -0*i + 93. Suppose -3*n + i + 5 = o. Calculate the remainder when 42 is divided by n.
6
Let l = -772 - -942. Calculate the remainder when 127 is divided by 34 + ((-20)/l - 4/(-34)).
25
Let m = 10095 + -10038. Let a(g) = -g**3 - 5*g**2 - 4*g. Calculate the remainder when m is divided by a(-5).
17
Let w = 4215 - 3770. What is the remainder when w is divided by 187?
71
Suppose -1943 = 9*q - 2078. What is the remainder when 264/16*4/3 is divided by q?
7
Suppose 2*g + 2*b - 12 = 0, -4 = g + b - 5*b. Suppose -3*c = 15, -5*a - g*c = -c. Calculate the remainder when 44 is divided by 15/(a - (4 - 2)).
14
Let m(f) = f**2 - 9*f + 20. Let n be m(4). Suppose 13*h - 1280 - 1515 = n. What is the remainder when h is divided by 72?
71
Let b = -17737 - -17747. Let k be 1*6 - (0 - -1). Suppose -5*y = 3*u - 50, 26 = 3*y - k*u + 6*u. Calculate the remainder when b is divided by y.
3
Let r(d) = d**3 - d + 1. Suppose 0 = -j + 4*j - 30. Suppose 130 = 10*y - j. What is the remainder when r(3) is divided by y?
11
Let r be (-2)/2 - (0 - 6 - 2). Suppose -44*b + 51 = r*b. What is the remainder when 8 is divided by b?
0
Suppose 3*g - 2476 + 73 = 0. Suppose -4*n = 217 - g. Calculate the remainder when n is divided by 6/(-2) - -58 - (-4 + 4 + 5).
46
Suppose 1935*c + 368 = 1936*c. Calculate the remainder when c is divided by 124.
120
Suppose -5*d + 43 = -2*t + 4*t, 3*d - 4*t - 31 = 0. Let m = 82 - 68. Suppose m*h = 16*h - 70. What is the remainder when h is divided by d?
8
Let v(l) = -11*l + 174. Let j(g) = -6*g + 87. Let m(z) = -5*j(z) + 3*v(z). Calculate the remainder when m(0) is divided by 18.
15
Let k(a) = a**3 + 4*a**2 + 3*a + 1. Let u = 131 + -122. What is the remainder when 1 - (-3 - u) - 6 is divided by k(-3)?
0
Suppose x = -5, -5*x + 203 = 4*b + 16. Suppose -2*r = -3 - 1. Calculate the remainder when b is divided by (9/18)/(r/44).
9
Suppose 7*r - 5*r + r = 543. What is the remainder when 1257 is divided by r?
171
Let t(y) = -3*y**3 + 16*y**2 + 6*y - 32. What is the remainder when t(5) is divided by ((-3)/5)/(2/(-30))?
5
Let d be 10/8*(-17 - -29). Suppose 44 - 884 = -d*a. What is the remainder when a is divided by 29?
27
Let g = -1963 - -2023. What is the remainder when 252 is divided by g?
12
Calculate the remainder when ((-9)/42)/(3/(-4)) + (-14157)/(-63) is divided by 13.
4
Let c(j) = j**3 + 4*j**2 + 6*j - 1. Let z be c(6). Suppose 342 = 3*u - 471. Let o = z - u. Calculate the remainder when o is divided by 25.
24
Suppose n - 940 = -3*f + 5*f, n - f = 935. Suppose 8*b - 2*b - n = 0. Suppose 7*j - 664 = b. What is the remainder when j is divided by 17?
15
Let l(j) = -j**3 + 68*j**2 - 20*j + 1425. Calculate the remainder when 2369 is divided by l(68).
29
Let y = 533 + -531. Suppose i - 23 = y*q, 4*i - 2*q + 30 = 92. Calculate the remainder when 427 is divided by i.
11
Let z = 53 + -51. Suppose 0 = -z*f + 8 + 18. Let u = 20 + f. What is the remainder when u is divided by 20?
13
Suppose 6*r - 3*r + 3*d = -246, -5*r - 400 = 3*d. Let k = 118 + r. Calculate the remainder when k is divided by 15.
11
Suppose -21*z - 21 = -28*z. Suppose -3*d = 4*b - 316, z*d - 16 = -2*b + 142. What is the remainder when b is divided by 43?
36
Let i = 20 + -15. Suppose i*h + 174 = 8*h. Let y = -34 + h. Calculate the remainder when 94 is divided by y.
22
Let o(i) = -i**3 + 34*i**2 - 32*i + 27. Let u be o(33). Let c = 66 - u. Calculate the remainder when 32 is divided by c.
2
Let f = -3306 - -3542. Calculate the remainder when 247 is divided by f.
11
Let h(k) = 53*k - 371. Let q be h(7). Suppose q = 5*m - 89 - 191. Calculate the remainder when 160 is divided by m.
48
Suppose 0*y = 4*y - 5*y. Suppose -4*i - 44 + 132 = y. Suppose i - 35 = -p. What is the remainder when 35 is divided by p?
9
Suppose 9 = 2*d + 5. Let y be 16/12*(1 - 1/(-2)). Suppose -d*r + 3*r - 229 = -3*i, i - 67 = y*r. Calculate the remainder when i is divided by 38.
37
Suppose -239 = 2*u - 1035. Calculate the remainder when 1198 is divided by u.
4
Let s(m) = -15*m**3 - 10 - 7*m - 23 + 13*m**2 + 14*m**3 + 9. What is the remainder when s(8) is divided by 27?
24
Let b(v) = -114*v + 7896. Let t(y) = 178*y. Calculate the remainder when t(1) is divided by b(69).
28
Let f = 8250 - 8242. Calculate the remainder when 3003 is divided by f.
3
Let d = 129 + -106. Suppose 3*n - 21 = 2*s, 2*n + 0*s + 2*s = 14. Let m(l) = l**3 - 7*l**2 + 4*l + 15. Calculate the remainder when m(n) is divided by d.
20
Let b be 0 + 0 + 5 - -196. Suppose -3*h = -4*g + b, -7*g - 258 = -12*g - 3*h. Calculate the remainder when g is divided by (16 - -2)*1 - 0.
15
Let j = -48 + 6. Let v be (7/3)/((-14)/j). Suppose 13 = v*g - 169. Calculate the remainder when 46 is divided by g.
20
What is the remainder when 442 is divided by (-6 - -7 - 0)*137?
31
Let s(u) = -5*u - 9. Let i be s(-4). Suppose -30 = -i*z + 25. Suppose z*p - 11*p = -132. Calculate the remainder when 43 is divided by p.
21
Let m = 9134 + -8613. What is the remainder when m is divided by 49?
31
Suppose -19*h = -13*h - 540. Suppose -80*q = -76*q - 76. What is the remainder when h is divided by q?
14
What is the remainder when 22524 is divided by ((-87)/6 - -17)/(2/20)?
24
What is the remainder when -2*3 + 710 + 35 is divided by 245?
4
Let h(w) be the third derivative of w**6/120 - w**5/12 + w**4/4 - w**3/3 - 35*w**2. What is the remainder when (-3)/((-12)/4) - -15 is divided by h(4)?
4
Suppose -542 = -4*a + 542. Let z = a + -229. Calculate the remainder when 376 is divided by z.
40
Let a(l) = -146*l - 18. Let u be a(3). Let y = -135 - u. What is the remainder when y is divided by 46?
45
Let t = 15314 - 15229. What is the remainder when 9944 is divided by t?
84
Let y = 1537 - 399. Let g = y - 996. Calculate the remainder when g is divided by 34.
6
Let o(n) = -n**3 + 23*n**2 - 42*n + 16. Let l be o(21). Let c be (-40)/(4/(0 - l)). Suppose 19*s = 23*s - c. What is the remainder when s is divided by 21?
19
Let d(a) = -a**3 - 29*a**2 - 31*a - 62. Suppose -31*n - 838 = 30. Calculate the remainder when 4/(-10) - 854/(-10) is divided by d(n).
19
Suppose 22*x - 161 = 323. What is the remainder when 953 is divided by x?
7
Suppose 0 = 2*n - x - 12, -3*n + 28*x = 23*x - 18. Let r(y) = -2*y + 46. Calculate the remainder when 237 is divided by r(n).
33
Let q = 105334 - 105316. Let x(h) = 195*h**3. What is the remainder when x(1) is divided by q?
15
Let n(d) = -1117*d + 18050. Suppose -5*h + 188 = -h. Calculate the remainder when n(16) is divided by h.
37
Let y = -40721 + 40790. What is the remainder when y is divided by 17?
1
Suppose -33*y + 17*y + 624 = 0. Let a = -137 - -290. Ca