*3/3 + 7*v**2 - 6*v + 11. Let o = -27 - -79. Calculate the remainder when o is divided by h(16).
10
Let x(b) = b**3 + b + 8. Let z be x(0). Let p(n) be the third derivative of 5*n**4/24 - 13*n**3/6 - 20*n**2. What is the remainder when p(z) is divided by 8?
3
Let z = -47 - -51. Suppose 2*m + 6 = -2*a, 0 = z*a + 3*m + 4 + 5. Let p(x) = x + 86. Calculate the remainder when p(a) is divided by 22.
20
Let b = -860 + 2861. What is the remainder when b is divided by 83?
9
Let b be (-47 - -1)*16/32. Let c = b + 21. Let i(j) = -68*j + 12. Calculate the remainder when i(c) is divided by 15.
13
Suppose 2*c + 287 = -5*c. Let f = -125 + 180. Let s = f + c. What is the remainder when s is divided by 8?
6
Suppose -2*m = -314 + 110. Suppose 4*a - m = 2*a. Let k = 302 - 276. Calculate the remainder when a is divided by k.
25
Suppose -140*a - 4488 = -164*a. Let t = 52 + -5. Calculate the remainder when a is divided by t.
46
Let k(t) = -9*t + 10. Suppose 5*u = -14 - 1. Let p = u - -2. Calculate the remainder when 74 is divided by k(p).
17
Let b(z) = 26*z**2 - 22*z + 20. What is the remainder when b(-11) is divided by 10?
8
Let y(w) = 2*w**2 + 13*w - 8. Let l be y(8). Suppose 0 = 2*x - 5*c - 226 - 523, -2*c - 2 = 0. Let z = x - l. What is the remainder when z is divided by 25?
23
Let r(p) = -2*p + 100. Calculate the remainder when r(11) is divided by 61.
17
Let r(j) = 50*j - 670. What is the remainder when r(16) is divided by 17?
11
Calculate the remainder when (-24)/44 + 17120/88 is divided by 101.
93
Suppose 3*c - 279 = -3*o + 615, 5*c = 15. Calculate the remainder when 353 is divided by o.
58
Calculate the remainder when (-6)/10 + (60378/180 - 10/(-60)) is divided by 92.
59
Let i = 39864 + -39850. Calculate the remainder when 0 - ((-306)/2 - 0) is divided by i.
13
Suppose 5*m + 5 = 0, -4*m - 614 = -6*a + 4*a. What is the remainder when a is divided by 82?
59
Let d(k) = -18*k + 2. Let f(n) = 49*n**2 + 43*n - 93. Calculate the remainder when f(2) is divided by d(-2).
37
Let r(b) be the second derivative of -8*b**3/3 - 2*b**2 + 10*b + 3. What is the remainder when 131 is divided by r(-2)?
19
Suppose 5*b + 483 + 231 = 12*m, 27 = m + 5*b. Let r = 425 + -204. Calculate the remainder when r is divided by m.
50
Let i = 132 - 73. Suppose i*v + 2499 = 80*v. Calculate the remainder when v is divided by 15.
14
Calculate the remainder when 881 is divided by ((-12)/(-8))/((1 + -4)/(-6)) + 114.
62
Let s(i) = -4*i + 5. Let a(o) = -o**2 - 8*o + 34. Let d be a(-14). Let j = 68 + d. Calculate the remainder when s(-7) is divided by j.
15
Suppose 2*f - 136 = 76. Let o(s) = -s**2 - 1 + 11*s**2 + 3*s**2. What is the remainder when f is divided by o(-1)?
10
Let d(i) = -i**3 + 12*i**2 + 13*i + 34. Let c(r) = 12*r**2 - 2*r + 1. Let z be c(1). Calculate the remainder when d(z) is divided by 75.
73
Suppose -177*s + 4953 + 1815 = -36*s. Calculate the remainder when 158 is divided by s.
14
Let k(w) = -289*w - 189. What is the remainder when k(-2) is divided by 153?
83
What is the remainder when ((-2)/3)/(71/(-9372)) is divided by 15?
13
Let x = -203 - 52. Let r = x - -297. What is the remainder when r is divided by 18?
6
Let t(c) = c - 21*c - 13*c + 2*c**3 - 3*c**3 - c + 19*c**2 + 4. Calculate the remainder when (-19)/(-2) - (-1)/(-2) is divided by t(17).
1
Suppose -v + 3*f = -807, 5*v = 6*v + f - 795. What is the remainder when v is divided by 16?
14
Suppose 19 + 1 = 2*r. Let a(u) = -u**3 + 23*u**2 - 23*u + 26. Let o be a(22). Suppose -o*f - 1027 = -17*f. What is the remainder when f is divided by r?
9
Let o(n) be the third derivative of n**5/30 - 7*n**4/6 - 10*n**3 - 35*n**2. Calculate the remainder when 225 is divided by o(16).
1
Let r(i) = -i**2 + 8*i - 3. Let b(o) = 13 + 26 + 20*o - 37*o - 3 + o**2. Let v be b(15). Calculate the remainder when 31 is divided by r(v).
4
Suppose 0*o = -5*o - 45. Let u(a) be the third derivative of -a**4/8 + 5*a**3/3 - 6*a**2 - 17. What is the remainder when 72 is divided by u(o)?
35
Let b = 2481 + -2450. Let a(o) = -6*o + 3*o**2 - 2*o**2 - 11 + 0*o**2 - 2*o. Calculate the remainder when b is divided by a(10).
4
What is the remainder when (63624/(-28))/(-3) - (0 + (-44)/77) is divided by 38?
36
Let f be (68/3)/(-4) - 1/3. Suppose 0 = 9*q - 6*q - 39. What is the remainder when (-6)/2*(-16 - (-30)/f) is divided by q?
11
What is the remainder when 59 is divided by (31 - -17)/(-3 + 18/4)?
27
Suppose 7*x + 6996 = 166*x. What is the remainder when 7303 is divided by x?
43
Let h(d) = -4*d**2 + 421*d + 318. Calculate the remainder when h(103) is divided by 47.
23
Suppose -3*d = -l - l - 4183, 0 = -3*d - 3*l + 4218. What is the remainder when d is divided by 466?
1
Suppose 4 = -6*s + 124. Let b(v) = v**3 - 31*v**2 + 37*v - 72. What is the remainder when b(30) is divided by s?
18
What is the remainder when (0 + -1)/(-17*(-13)/(-22100)) is divided by ((-8)/(-12))/(4/102)?
15
Let w(c) = 1476*c**3 - 3*c**2 - 3*c + 6. Calculate the remainder when w(1) is divided by 487.
15
Suppose 57*f = 5039 + 17248. What is the remainder when f is divided by 163?
65
Let r(u) = u + 33. Let v be r(0). Suppose -v = -6*q + 21. Let g = 21 + q. Calculate the remainder when g is divided by 16.
14
Suppose 90 = -0*l + 18*l. Suppose -2*j + 167 = 3*w, w + 93 = 3*w + l*j. What is the remainder when 172 is divided by w?
54
Suppose -4*u + 8 = 4*u. Let q(j) = 3*j**2 - 5*j + 1. Let h(c) = c. Let g(t) = u*q(t) - 3*h(t). Calculate the remainder when g(6) is divided by 31.
30
Suppose -4*c + 776 = 5*i - 0*i, 0 = -i + c + 148. Let t = i - -547. Calculate the remainder when t is divided by 18.
15
Let k be 2*(9 - (-4)/2). Calculate the remainder when (25 + -13)*k/8 is divided by (7/(-3))/((-7)/21).
5
Suppose h = 3*k - 157, -5*k + 305 = 5*h + 70. Let g(i) = 35*i - 8 - i**2 - 25*i + 18*i**2. What is the remainder when k is divided by g(1)?
13
Suppose 3*y - 20 + 32 = 0. Let d be y/(-1)*(9/(-4) + 3). Suppose -3*r + 6*r + 15 = 0, 5 = d*m + 2*r. What is the remainder when m is divided by 1?
0
Suppose 0 = -4*x + 4*t - 767 + 1147, 5*x + 2*t = 496. Calculate the remainder when x is divided by 44.
10
Let k = 373 + -125. Suppose 6*x - 2*x = k. What is the remainder when x is divided by 35?
27
Let w = -13221 + 13272. Suppose -22 = -3*f + 5*x, -5 + 33 = 5*f - 4*x. Suppose -f*y + 36 = 4*j, 5*j - 56 = -y + 5. What is the remainder when w is divided by j?
12
Suppose -4*n - 1 - 3 = 0, 2*n + 318 = 2*j. What is the remainder when 498 is divided by j?
24
Let j = 949 - 627. What is the remainder when j is divided by 101?
19
Suppose 0 = -2*d + 4*b + 458, 747 = 4*d - 4*b - 165. What is the remainder when 363 is divided by d?
136
Suppose 55*d - 11*d - 2119 = 14909. What is the remainder when d is divided by 49?
44
Let b = -9 - -34. Let z(r) = 3*r**3 - 9*r**2 - 11*r + 23. What is the remainder when z(5) is divided by b?
18
Let f = 6707 - 6678. Calculate the remainder when 345 is divided by f.
26
Let a = -16814 - -16852. Suppose x - 4*v = 15, -x - 5*v = -2*x + 17. Calculate the remainder when a is divided by x.
3
Let b(q) = q**3 - 7*q**2 + 4*q + 13. Let j be b(6). Let k be 45 + (-3 + j - -5). Suppose 0 = 18*o - 14*o - k. What is the remainder when 15 is divided by o?
3
Let s(i) = -4*i**2 - 59*i + 36. Let w be s(-15). Suppose -34*k + 81 = -w. What is the remainder when 48 is divided by k?
0
Let h = -3577 - -3610. What is the remainder when 289 is divided by h?
25
Let q be 1411/68 + (-2)/(-8). Let o = 35 + 3. Calculate the remainder when o is divided by (133/q)/1*3 - 5.
10
Let b(q) = 240*q + 33239. Let i = -35 + 59. Calculate the remainder when b(-137) is divided by i.
23
Suppose 4*v - 3*z - 3228 = 0, -4*v = 296*z - 295*z - 3228. Calculate the remainder when v is divided by 198.
15
Let c(z) = -43*z + 83. Calculate the remainder when 1886 is divided by c(-1).
122
Let r(y) = 38*y**2 + 1617*y - 40. What is the remainder when r(-46) is divided by 53?
50
Let q(p) = p**3 - 28*p**2 + 24*p - 428. Calculate the remainder when 721 is divided by q(28).
233
Suppose 0 = 6*x - 17 - 115. Suppose z - 76 = x. Calculate the remainder when z is divided by 9.
8
Let j(y) = 3*y + 7. Suppose 1216 = 95*o - 57*o. What is the remainder when o is divided by j(5)?
10
Suppose 5*i + 3*x = 8*x + 415, -5*i - 5*x = -465. Suppose 0 = v - 4*k - i, 104 = v + k + 3