t k(m) = -m + 7. Let v(a) be the first derivative of 9*a**2 - 5*a + 5. Calculate the remainder when v(2) is divided by k(-9).
15
Let k(z) = z**3 - 12*z**2 + 2*z - 16. Let b be k(12). Let o = b + -54. Let s = o + 64. What is the remainder when 52 is divided by s?
16
Suppose 0 = -35*q + 109 - 4. Calculate the remainder when 34 is divided by q.
1
Suppose 0*l - m = l - 21, 3*m - 3 = 0. Suppose -o = -l - 11. Calculate the remainder when o is divided by 18.
13
Let c = 7 + -5. Suppose -c*s + 4 = -5*i - 12, 3*s = -2*i - 14. What is the remainder when ((-7)/(-14))/(s/(-388)) is divided by 33?
31
Suppose 250 + 790 = 20*o. Calculate the remainder when o is divided by 14.
10
Suppose -2*j + 13 = 3*c, 0 = c - 0*c - 3*j - 19. Suppose 0 = -p + 36 + c. What is the remainder when p is divided by 9?
7
Let m = -18 - -39. Let p(r) = r**2 - 4*r - 7. Let b be p(6). Suppose -5*d = -x - 315, -51 = -b*d - 5*x + 234. What is the remainder when d is divided by m?
20
Suppose -5*d - 63 = -x, 2*x - 26 - 88 = -2*d. Suppose 0 = -5*o - 1 + 11. Suppose -3*h = o*h - 100. Calculate the remainder when x is divided by h.
18
Let i = 4462 - 4409. Suppose -21 = -5*w + 9. What is the remainder when i is divided by w?
5
Let a = 65 + 28. Let n = -52 + a. Calculate the remainder when 163 is divided by n.
40
Suppose -5*a - 1 = -11. Suppose -a*x + 90 = -42. Calculate the remainder when x is divided by 14.
10
Suppose -16*v + 18*v - 22 = 0. Let i(b) = b**3 - 12*b**2 + 6*b + 5. Let j be i(v). What is the remainder when 14 is divided by 16/24 + j/(-6)?
5
Let c = 18 + -13. Suppose s + c*w - 65 = -4*s, -s = -w - 13. What is the remainder when s is divided by 7?
6
Let d = -1355 + 1801. What is the remainder when d is divided by 54?
14
Let j(w) = 4*w**2 + 3*w + 13. What is the remainder when 479 is divided by j(0)?
11
Let x = 16 + -11. Suppose 0 = 2*k + x + 9. What is the remainder when (-1)/(-1) - (-71 + k) is divided by 27?
25
Let l(y) = 31*y - 11. Let m be l(2). Suppose -m = -4*g - 11. Calculate the remainder when 35 is divided by g.
5
Let u(g) = -3*g**3 - 17*g**2 - 27*g - 44. Calculate the remainder when u(-6) is divided by 82.
72
Let u(v) = 24*v - 234. Calculate the remainder when u(20) is divided by 59.
10
Suppose 3*a + 2*f - 45 + 13 = 0, 60 = 5*a + 5*f. Calculate the remainder when 14 is divided by a.
6
Let k(o) = 2*o**2 - 24*o + 95. What is the remainder when 710 is divided by k(6)?
20
Suppose -3*i = -2*u - 29, 4*u - 17 - 42 = -3*i. Calculate the remainder when 635 is divided by i.
11
Suppose -6*b + 57 = -9. Calculate the remainder when 13 is divided by b.
2
Suppose 0 = 3*d - 0*d + 5*k - 260, -k = -d + 84. Calculate the remainder when d is divided by 22.
19
Let p = 1403 - 1373. What is the remainder when 42 is divided by p?
12
Let q be 8/52 + (-100)/(-26). Suppose q - 6 = -k. Suppose 0 = 4*n - 8, -k*o + 2*n + 3 = -o. What is the remainder when o is divided by 2?
1
Calculate the remainder when 67 is divided by 204/18*(0 - -3).
33
Let a(o) = o**3 + 13*o**2 - 2*o - 13. Suppose -5 = 3*c + 34. Calculate the remainder when 33 is divided by a(c).
7
Suppose 3*d - d = -20. Calculate the remainder when 11 is divided by 2 - (d/35 + (-19)/7).
1
Let a(d) = 3*d - 3. Let v be a(8). Suppose 614 = 36*k - 106. Calculate the remainder when k is divided by (-6)/v + 51/7.
6
Let q(l) = -45*l + 31. What is the remainder when q(-1) is divided by 20?
16
Let j be ((0/(-1))/(-5))/(1/(-1)). Suppose 3*t - 40 + 1 = j. What is the remainder when t is divided by 9?
4
Let l(g) = -2*g**2 - 59*g - 33. Calculate the remainder when l(-27) is divided by 35.
32
Let n be (-6 + 1)/(3/24). Let w = 6 - n. What is the remainder when w is divided by (36/(-10))/((-6)/40*2)?
10
Let a be (378/72)/(6/(-16)). Let t = -10 - a. Suppose -26 = -5*n + t. Calculate the remainder when 16 is divided by n.
4
Let i(o) = o**2 + 18*o + 69. Calculate the remainder when i(-21) is divided by 28.
20
Suppose -q - 5*z - 6 = -26, q - z - 14 = 0. Suppose p - 21 = 6. Calculate the remainder when p is divided by q.
12
Suppose 4*n - 5*i = 4829, 18*n - 4*i - 1210 = 17*n. Calculate the remainder when n is divided by 55.
51
Let a(i) = 1353*i - 3 - 1353*i + 13*i**2. Calculate the remainder when a(2) is divided by 17.
15
Suppose -4*u + 5*g - 9*g + 168 = 0, 5*g = -u + 30. What is the remainder when 132 is divided by u?
42
Let q be 1 - 0 - (-5 + 9 + -6). Suppose 0 = -q*o + 5*p + 139, 0 = -2*o + p + 2*p + 93. Calculate the remainder when o is divided by 13.
9
Let k be (-1)/2 + 91/2. Suppose 5*n = 15 + k. Let s(p) = -p**3 - 4*p**2 + 7*p + 15. What is the remainder when n is divided by s(-5)?
2
Suppose 4*c - 54 = 5*c - 2*d, -4*c + d = 195. Let k = 158 + c. What is the remainder when k is divided by 19?
15
Suppose -3*q + 15 = 3*m, 0*q = -2*q + 4*m + 28. Suppose -3*i - 4*w = -31, 8*i - 3*i + 2*w = 61. Calculate the remainder when i is divided by (1/2)/(q/112).
6
Let y(q) = -q. Let w(s) = 16*s + 1. Let v(d) = -w(d) + 4*y(d). Suppose 5*t - 4*t + 2 = 0. What is the remainder when v(t) is divided by 21?
18
Let a be 7*(36/14 + 0). Suppose 10*l - 12*l = 28. Let r = a + l. What is the remainder when r is divided by 2?
0
Let p(a) = a**3 + 4*a**2 + 2*a + 1. Suppose 5*t + 44 = -3*x, 0 = 3*x - 2*x + 4*t + 24. Let m = x - -6. What is the remainder when 12 is divided by p(m)?
2
Suppose -6 - 17 = -n - 3*o, o - 85 = -3*n. Let s = n + 7. Calculate the remainder when 143 is divided by s.
35
Suppose 335*a = 336*a - 366. Calculate the remainder when a is divided by 17.
9
Let y be 3 - (4 - 1)/(-3). Suppose 0 = -v + 4*l + 41, 4*v - 2*l + 112 = 6*v. Calculate the remainder when v is divided by y/(-20) + (-31)/(-5).
5
Suppose 2*w - 2 = -3*x - 7, 4*w = -2*x - 14. Let s(g) = 12*g**2. Let a be s(x). Calculate the remainder when 14 is divided by a/(-4) - -7 - 1.
2
Let b = 186 - 104. Calculate the remainder when b is divided by 11.
5
Calculate the remainder when 174/((2/8)/(57/152)) is divided by 33.
30
Suppose -44 = -s - c - 2*c, -5*c - 108 = -4*s. Let p = -15 - -13. What is the remainder when 141/((-175)/(-98) - p/(-7)) is divided by s?
30
Let m = -12 - -21. Suppose 0 = -i + 5*u - m, i - 4*u = 5*i - 60. Let x = -40 + 60. Calculate the remainder when x is divided by i.
9
Let f = -826 + 943. What is the remainder when f is divided by 12?
9
Suppose 6 = -4*v + 14. Suppose 0 = -3*z - 2*z + 2*r + 419, 0 = -v*z - 3*r + 160. Let p(n) = -5*n - 4. What is the remainder when z is divided by p(-5)?
20
Let n(h) = 4*h + 40*h**3 - 7*h**2 + 6 - 17*h**3 - 22*h**3. What is the remainder when n(7) is divided by 6?
4
What is the remainder when 261 is divided by (6/(-21) - 0) + (-3160)/(-35)?
81
Let f(k) = k**3 + 8*k**2 + 6*k - 3. Let y = 566 + -559. What is the remainder when f(-6) is divided by y?
5
Let w = 7 - 4. Let u(d) = 3*d - 6 + w + 2*d - 3. Calculate the remainder when 47 is divided by u(6).
23
Let j be 2 + 9 - 6/3. Suppose -35 - j = -4*c. Suppose 4*t = 4, -5*g = -2*t - 61 - 92. Calculate the remainder when g is divided by c.
9
Calculate the remainder when 29 is divided by 6106/387 - (-2)/9.
13
Suppose -2*c + 53 = 3*n, -5*c - n + 2*n + 175 = 0. Calculate the remainder when (1 - 252/(-20))*5 - 3 is divided by c.
31
Let w be 0 + 3 + 2 + -95. Suppose 9 = 5*o - 1. What is the remainder when (w/40)/(6/(-16)) is divided by o?
0
Let q(y) = 182*y - 1030. What is the remainder when 299 is divided by q(6)?
51
Let q be (0/(1 + -4))/1. Suppose -14 = -q*o + 2*o. Calculate the remainder when 9 is divided by (1 - 0)/(o/(-28)).
1
Let a(h) = 7*h**2 - 87*h - 39. Calculate the remainder when 167 is divided by a(13).
11
Let k(s) = s**2 + 3*s + 1. Let x be k(-4). Suppose 0 = -x*d + 10*d. Suppose d = 5*n - 479 + 94. What is the remainder when n is divided by 26?
25
Let v be (15/(-25))/((-2 + 1)/5). Suppose v*z + 14 = 65. What is the remainder when 65 is divided by z?
14
Let r(o) = o**2 + 2. Let g be r(0). Suppose 0 = -x - g*x + 4*s + 76, 0 = 4*x - s - 97. What is the remainder when 189 is divided by x?
21
Suppose 4*o = -32 - 52. Let s = o + 51. Calculate the remainder when (-3)/(-2)*((-370)/(-6) + -3) is divided by s.
28
Let u(q) = -2*q**2 + 4*q + 7. Let j be u(9). Let a = -51 - j. What is the remainder when a is divided by 18?
14
Let z = -7 - -11. Suppose 5*b + 5 = -5*q, 3*b + 9*q - 15 = 12*q. What is the remainder when z is d