h**2 - 111*h - 24. Calculate the remainder when j(3) is divided by 36.
21
Let o(q) be the third derivative of q**4/12 - 23*q**2. Let c be o(1). What is the remainder when 47 is divided by 13 + 3/(c/(-2))?
7
Suppose 5*c - 3*c + 144 = i, 3*i - 210 = 3*c. Let z = 87 + c. Suppose 3*k - w - 261 = 0, 3*k + 4*w - 273 = w. Calculate the remainder when k is divided by z.
10
Let t = -3410 + 3483. Calculate the remainder when 266 is divided by t.
47
Let r(n) = -5*n - 121. Calculate the remainder when 46 is divided by r(-25).
2
Suppose 262*n - 682 = 240*n. Calculate the remainder when n is divided by 13.
5
Suppose 0 = -72*i + 82*i + 60. Let h(f) = -2*f**3 - 3*f**2 + 13*f + 25. Calculate the remainder when h(i) is divided by 16.
15
Suppose -3*x = -24, 3*t + 1769*x - 1766*x - 42 = 0. Calculate the remainder when 588 is divided by t.
0
Suppose 26 = 29*p - 48 - 13. Calculate the remainder when 3*-9*(-6)/9 is divided by p.
0
Suppose -5*l + 0 = 2*v - 8, -l = 5*v - 20. Suppose -28 = -v*g + 3*g - 3*p, -4*g = 5*p - 77. What is the remainder when 33 is divided by g?
7
Suppose -9*f + 193 = -320. Let d(p) = -14*p**3 - 3*p**2 - 12*p - 8. Calculate the remainder when f is divided by d(-1).
12
Suppose -5*b + 140345 = 24*u - 20*u, 2*b = u - 35083. Calculate the remainder when u is divided by 16.
13
Suppose -3*g + 18 = -7*f + 4*f, 0 = -4*g + f + 12. What is the remainder when (14/(-6) - (g - 5))*57 is divided by 4?
2
Let i(v) = -7*v**2 - 51*v + 123. Calculate the remainder when 66 is divided by i(-9).
6
Let h(j) = 10*j + 4*j + 2*j + 21*j - 66. Calculate the remainder when 15 is divided by h(2).
7
Let h(w) = -27*w**3 + 2*w**2 - 2*w + 4. Let b be h(2). Let y = -202 - b. Calculate the remainder when (2/3*-21)/(-1) is divided by y.
2
Let x(w) = -19*w + 96. Let d be x(5). Calculate the remainder when -19 - -19 - (-342)/d is divided by 23.
20
Let b(g) = -2*g**3 + 12*g**2 + 15*g. Let j be b(7). What is the remainder when 48 is divided by -1*3 + ((-189)/(-9) - j)?
4
Let v(n) = n**2 - 30*n + 85. Let w be v(41). Suppose 543*s - 756 = w*s. What is the remainder when s is divided by 24?
12
Let m(t) = -3489*t - 1286. What is the remainder when m(-4) is divided by 72?
70
Let v be (-310)/11 + (-30)/(-165). Let w = v - -40. Suppose h - w = -2*l + 102, -3*l + 4*h = -149. Calculate the remainder when l is divided by 8.
7
Suppose 0 = 2*l - 5*g - 24, -2*l = g - 9 - 15. Suppose -25*k - 320 = -20*k. Let c = k + 93. What is the remainder when c is divided by l?
5
Let n(l) = -8*l**3 - l**2 + l + 4. Let x(p) = -p**2 + 17*p - 32. Let o be x(15). What is the remainder when 123 is divided by n(o)?
61
Let c be 2/(-32 + 27 + 5 + 1). Suppose c*j - 164 = 194. Calculate the remainder when j is divided by 30.
29
Suppose -4*l + 872 = -4*j, -3*j = -2*j + 2*l + 218. Let g = j - -300. What is the remainder when g is divided by 46?
36
Let a = -9362 - -10091. Calculate the remainder when a is divided by 132.
69
Let w(q) = -q + 19. Let v be w(0). Let l be -3 - (4/(-4) - v). Let t = l + 3. What is the remainder when 37 is divided by t?
17
Let k be (-5)/1*-1 - (-5 - -5). Suppose 4*p + i = 2*p + 224, -k*p + 3*i = -571. Suppose 29 = u - p. Calculate the remainder when u is divided by 18.
16
Suppose 6*i + 2 - 14 = 0. What is the remainder when 14 is divided by 5/2*(-1)/i*-4?
4
Let a(w) = -4343*w - 4 + 4341*w + 24. What is the remainder when 107 is divided by a(-4)?
23
Let k(n) = 402*n**3 + n**2 - 2*n. Let a be k(1). Let o = 420 - a. Calculate the remainder when 70 is divided by o.
13
Calculate the remainder when 175 is divided by (-5 - -68)*9/7.
13
Suppose 23*x + 2014 - 2497 = 0. What is the remainder when 20956 is divided by x?
19
Let a be 576/336*98/3. Suppose 0*z = 4*z - a. Calculate the remainder when 0*2/4 - -82 is divided by z.
12
Let o = 14900 - 14861. What is the remainder when 255 is divided by o?
21
Let b be (-246)/10 + 2/(-5). Suppose 3467 + 3045 = 148*c. Let a = b + c. Calculate the remainder when 113 is divided by a.
18
Suppose -4*t - 721 = -v, -4*v + 9*v - 3680 = -5*t. What is the remainder when v is divided by 5?
3
Let l = -1539 + 1596. What is the remainder when 3361 is divided by l?
55
Let p(r) = 2*r + 17. Suppose 6*k = -910 + 958. Calculate the remainder when 227 is divided by p(k).
29
Let i(l) = 356*l + 6950. Calculate the remainder when i(-19) is divided by 101.
85
Let q = -30 - -30. Suppose 11*l = -5*y + 14*l + 456, q = -y + 5*l + 78. What is the remainder when y is divided by 17?
8
Let o be (-6)/4*16/(-6). Suppose v = o*v - 123. Let m(k) = k**3 - 3*k**2 - 42*k + 120. What is the remainder when v is divided by m(7)?
19
Suppose -5*x + 5*h + 39985 = 0, 6*x + 24063 = 9*x + 5*h. What is the remainder when x is divided by 51?
50
Let m(i) = -i**3 - 8*i**2 + 20*i + 21. What is the remainder when (48/(-5))/(171/(-570)) is divided by m(-10)?
11
Suppose -1433 - 4122 = -17*o + 922. Calculate the remainder when 381 is divided by o.
0
Suppose 5768 = 4*d + 25*t - 21*t, t + 7192 = 5*d. What is the remainder when d is divided by 6?
5
Let y(p) = -975*p + 25 + 976*p + 19. Calculate the remainder when 182 is divided by y(2).
44
Let b = 1776 - 565. Calculate the remainder when b is divided by 45.
41
Suppose -2*g - f + 36 = 0, -5*g - 4*f + 0*f = -93. Let h = 34 + -3. What is the remainder when -8 + (h - (2 - 10)) is divided by g?
14
Suppose -5*x - 4 = -x, -58 = -5*u + 3*x. Suppose -12*i + 78 = -u*i. What is the remainder when i is divided by 21?
15
Let u(l) = 589*l + 3537. Calculate the remainder when 1061 is divided by u(-6).
2
Let f(g) = 36*g**3 - 1. Let b be ((-804)/(-16))/(-3) + 30/40. What is the remainder when f(1) is divided by (b/(-4) - 2) + (-7)/(-1)?
8
Let r(t) = -t**3 + 6*t**2 + 2*t - 2. Let h be r(3). Let c = h + -22. What is the remainder when (-122)/(-2) + (-8 - -8 - 0) is divided by c?
7
Suppose 2286 = -0*k + 68*k + 59*k. What is the remainder when 4462 is divided by k?
16
Let j be (-10)/((-350)/(-2385)) + 1/7. Let k = 89 + j. What is the remainder when k is divided by 5?
1
Let s(b) = -32*b - 200. Let d be s(-6). Let j(u) = 5*u**2 + 24*u + 104. Calculate the remainder when j(d) is divided by 39.
37
Suppose 2*m - 8 = 0, 0*m = 5*j - 5*m - 345. Let b(u) = -u**2 + 6*u - 3. Let z be b(-5). Let c = 83 + z. What is the remainder when j is divided by c?
23
Let k(j) = -j**2 + 5*j + 123. Let w = 383 - 240. Suppose -2*g = b - 39, -2*g + w = 4*b - 7*g. Calculate the remainder when b is divided by k(-8).
18
Calculate the remainder when 98 is divided by -127 - -153 - (-1)/1.
17
Let r(z) = 15*z**2 + 9*z - 9. What is the remainder when r(-8) is divided by 280?
39
Suppose -5*z + 4 = 4*b + 22, -2*b + 6 = 0. What is the remainder when 194 is divided by ((-1 - -13) + -10)/((-2)/z)?
2
Suppose -2*s + 18*o - 13*o = -53, 3*o = 3*s - 75. Let q(u) = u**3 + 13*u**2 + 15*u + 2. What is the remainder when q(-7) is divided by s?
23
Let n(d) = 7*d**3 + 45*d**2 + d - 72. Calculate the remainder when 98 is divided by n(-6).
8
Suppose 0 = 4*i - i - 27. Let d = 147 - 144. Suppose 22*f - 21*f = d. What is the remainder when i is divided by f?
0
Let r = -398 - -793. Let h = -382 + r. Calculate the remainder when 73 is divided by h.
8
Let c(t) = t**3 + 7*t**2 + 2*t - 3. Let y be c(-5). Suppose 0 = -4*w + 11 + y. What is the remainder when 164 is divided by w?
8
Suppose -2*y - 5*q + 73 = 0, 26*q = 2*y + 24*q - 38. Calculate the remainder when y is divided by 2.
0
Let l = -5040 + 5243. Calculate the remainder when l is divided by 172.
31
Suppose -a = t, -a = -5*t + a. Suppose -51*f + 54*f - 93 = t. Calculate the remainder when 119 is divided by f.
26
Let l = 82 - 70. Let q(w) = -2*w - 3*w + l + 4*w + 3. Calculate the remainder when 61 is divided by q(-6).
19
Let i = -103 - -186. Calculate the remainder when i is divided by ((-6)/(-4))/(((-44)/(-24))/11) + -1.
3
Let f(v) = 117*v**3 + 12*v**2 + 45*v - 10 - 29*v - 116*v**3. Suppose -3*p + 4*d = -7 + 21, d = -2*p - 24. What is the remainder when 179 is divided by f(p)?
29
Let b(j) = 16*j**2 - 103*j - 373. Calculate the remainder when b(-8) is divided by 51.
47
Let l = 59 + -56. Suppose 2*y = c + l*c - 174, 3*c = -5*y - 409. Let f = 101 + y. Calculate the remainder when 88 is divided by f.
16
Suppose 1274 = 5*r - 4331. What is the remainder when r is divided by 1119?
2
Suppose -38*a + c = -3