 t(p) = -3*p**3 - 2*p**2 + 7*p + 2. Let d be t(-3). Let q = d - 109. Let z = -56 - q. What is the remainder when 42 is divided by z?
6
Let j(h) = -2*h**2 + 1. Let r(c) = 7*c**2 - 51*c - 5. Let p(o) = -j(o) - r(o). What is the remainder when 230 is divided by p(9)?
56
Suppose -10 = 3*o - 49. Let s(a) = 2*a**2 + 697*a + 41267. Calculate the remainder when s(-274) is divided by o.
12
Let u(j) = -70*j - 2147. Calculate the remainder when 6602 is divided by u(-32).
92
Let u = -4 + 1. Let d = -20910 - -20913. What is the remainder when (u/1)/(3/(-4)) is divided by d?
1
Let x = -32 - -5. Let h = x - -41. Let l = 16 - h. What is the remainder when 6 is divided by l?
0
Suppose 0 = 14*r - 10*r - 1112. Suppose 0 = -2*u - p + r, 2*u - 3*p - 137 = 125. Calculate the remainder when u is divided by 18.
11
What is the remainder when 1218 is divided by (-21)/(-2) - ((-112)/96 - (-4)/(-3))?
9
Suppose 2*k + 110 - 108 = 0, 0 = 3*j + 4*k - 1508. What is the remainder when j is divided by 108?
72
Let d = 52 - 41. Let k = d + -11. Suppose 3*o - o + 3*m - 11 = k, -65 = -5*o + 5*m. Calculate the remainder when 66 is divided by o.
6
Suppose -5*g + 862 = 5*q - 893, 5*q = -g + 1767. What is the remainder when q is divided by 37?
21
Calculate the remainder when 841302/162 + (-5)/(225/10) is divided by 49.
48
Let a be (2/(-14))/((-165)/(-35) - 5)*-48. Suppose v - 65 = -0*v. Let w = v + a. Calculate the remainder when 204 is divided by w.
40
Let q = 654 + -322. Let f = q + 989. What is the remainder when f is divided by 21?
19
Let g be (-5 + 6)*8*8. Suppose -g = -32*z + 24*z. Calculate the remainder when 102 is divided by z.
6
Suppose 4*b + z = 109 + 58, 45 = b - 3*z. Suppose 5*y = -3*w + y + 41, 0 = -y + 2. Calculate the remainder when b is divided by w.
9
Let m = -2792 + 2841. What is the remainder when 102 is divided by m?
4
Let u(l) = 9*l**3 + 59*l**2 + 7*l + 30. What is the remainder when u(-6) is divided by 58?
52
Let x = 20348 - 20280. Calculate the remainder when 963 is divided by x.
11
Suppose -62*w = -350 + 102. Suppose 16 = 4*o, 0 = 3*j + o - 15 - 70. What is the remainder when j is divided by w?
3
Let r(h) = -h**3 - 3*h**2 + 5*h + 17. Let g be 0 + 60/(-9) - (-5)/3. Calculate the remainder when 334 is divided by r(g).
40
Suppose 2*w = -5*w + 1659. Let j = -2232 + 2312. What is the remainder when w is divided by j?
77
Let h(f) = -9*f**2 - 5*f + 365. Calculate the remainder when h(0) is divided by 200.
165
What is the remainder when 80 is divided by (1 - (-11 - 1)) + 18?
18
Suppose -4*q = -12, 37*q = 2*l + 39*q - 202. Calculate the remainder when l is divided by 77.
21
Suppose 471*j - 237468 = -43*j. Calculate the remainder when j is divided by 456.
6
Suppose j = 3*h - 1580, -j - 727 = 3*h - 2309. What is the remainder when h is divided by 19?
14
What is the remainder when (3 - (-19 - -8) - 12)/(2/33) is divided by 25?
8
Let g(k) = 4*k**2 - 127*k + 395. Calculate the remainder when 4898 is divided by g(3).
48
Let v be (-4)/3*(-7 + (6 - 2)). Suppose -35 = -5*j + v*z, -5*j + 55 = -z + 5. What is the remainder when (-172)/(-2) + 4 + -3 is divided by j?
10
Suppose 124*i - 1398 = 1826. What is the remainder when i is divided by (-30)/24*4/3*-3?
1
Let m(u) = u**3 + 25*u**2 + 61*u - 27. Let r(t) = -158*t - 751. Calculate the remainder when r(-10) is divided by m(-22).
82
Suppose 345 - 3733 = -3*h + 4*r, 3*r = -3*h + 3444. Calculate the remainder when h is divided by 87.
9
Calculate the remainder when -4*(-14)/(-32)*-68 is divided by 835/27 - 6/(-81).
26
Let t(g) = 18492*g - 55383. Suppose h + 4*h = 2310. Calculate the remainder when h is divided by t(3).
90
Let r = -202 + 217. Suppose 0 = -2*v + 15 + 77. What is the remainder when v is divided by r?
1
Let m = -1930 + 1957. What is the remainder when 549 is divided by m?
9
Suppose -2*q + 8333 = 3*c + 2*q, 0 = 5*c - q - 13850. What is the remainder when c is divided by 42?
41
Let c(d) = -2*d**3 + 2*d**2 + 2*d + 26. Let n be c(0). Suppose 3*k + 2*v - 88 = 4*v, -v = k - n. What is the remainder when k is divided by 21?
7
Let s(j) = -4*j + 5. Let x be s(2). Let l be 1 + (-5)/3*-30. Let u = l + x. What is the remainder when u is divided by 17?
14
Let p = -23 - -25. Suppose 26 - 12 = -p*m. Let z(k) = -k**3 - 7*k**2 - 7*k + 5. What is the remainder when z(m) is divided by 29?
25
Let u be -2 + (-68 - 4*(-5)/10). Calculate the remainder when 128 is divided by 49 + (2/(-9) - u/(-18)).
38
Suppose -9*h + 2356 = 61. What is the remainder when h is divided by 64 + (1 - 4/4)?
63
What is the remainder when (-14)/(-147)*-474*(-46 + 4)/6 is divided by 248?
68
Suppose 2*a + 1 - 5 = 0. What is the remainder when 170 is divided by (-8 - 530/(-30))/(a/6)?
25
Let o = 5 + 98. Let l = -16 + 11. Calculate the remainder when o is divided by ((-10)/l)/(-2) - -27.
25
Let j = 74 - 34. Calculate the remainder when 52 + 1 - (11 - (-18 - -35)) - 8 is divided by j.
11
Let v(m) = m**3 + 12*m**2 + 12*m - 27. Let b(j) = 3*j + 35. Let h be b(-10). What is the remainder when v(h) is divided by 20?
18
Let z be -1*(-8)/28 - (-459)/(-63). Suppose -5*i + 90 = 3*y, 3*i - 7 - 28 = 2*y. Calculate the remainder when -103*((-21)/z + -4) is divided by i.
13
Suppose 0 = u + 4*d - 3779, -2*u + 3*d + 3483 = -4020. What is the remainder when u is divided by 6?
3
Suppose -l = -3*l + 62. Suppose l*z - 24*z - 84 = 0. Calculate the remainder when 44 is divided by z.
8
Let x(v) = -7*v + 3*v - 31 + 7*v + 8. Let w(l) = -4*l + 22. Let f(d) = -2*w(d) - 3*x(d). Calculate the remainder when 54 is divided by f(11).
12
Let j(b) = 14*b**2 + 1. Let l be j(1). What is the remainder when 790 is divided by l - 3*(1 + -2)?
16
Let t be 7/1 - (4 + 2). Suppose 3*v = 2*c + t - 57, 0 = 3*c - 2*v - 84. Calculate the remainder when 77 is divided by c.
21
Calculate the remainder when 138 is divided by 480/21 + 90/(-105).
6
Let l(o) = -457*o + 2454. Calculate the remainder when l(5) is divided by 15.
4
Let r be -320*(5 - (-318)/(-30)). Suppose 41*z + r = 48*z. Calculate the remainder when z is divided by 43.
41
Let l = 21 + -8. Let h(x) = -53*x**2 - 5526*x - 820. What is the remainder when h(-104) is divided by l?
12
Let a = -23444 - -23475. What is the remainder when 861 is divided by a?
24
Suppose 27*z = 25*z - 308. Let o = -139 - z. Suppose 3*n = -3*g + 84, -2*g + 128 = 5*n - g. What is the remainder when n is divided by o?
10
Let n(t) be the second derivative of t**4/3 + 11*t**3/2 + 20*t**2 - 54*t - 2. What is the remainder when 2/4*0 + 13 is divided by n(-7)?
3
Let d(k) = -28*k + 1353. Calculate the remainder when d(44) is divided by 41.
39
Let l be (-5 - -7)*(-4)/((-4)/5). What is the remainder when ((-339)/18)/(l/(-60)) is divided by 39?
35
Let p(l) = -165*l**3 - 22*l**2 - 51*l - 6. Calculate the remainder when p(-2) is divided by 186.
26
Let j be (-4)/22 + 1487/11. Suppose u = 6*u - j. What is the remainder when u is divided by 6?
3
Suppose 1707 - 405 = 18*u + 13*u. Calculate the remainder when 1539 is divided by u.
27
What is the remainder when 475 is divided by -17 + -8 + 13 - -131?
118
Suppose 0*u + 42 = -u. Let x = u - -90. Let p(q) = 346*q - 2405. What is the remainder when x is divided by p(7)?
14
Let q = 26662 + -25122. Calculate the remainder when q is divided by 37.
23
Let o(u) = -17*u + 3. Suppose 537*l - 20 = 533*l, -3*g - 5*l + 322 = 0. Calculate the remainder when g is divided by o(-3).
45
Let t(y) = 13*y**2 - 46*y - 420. What is the remainder when t(-15) is divided by 18?
9
Let l = -631 - -832. Suppose 2*r = -k + l, -5*k + 1029 = 6*r - 2*r. What is the remainder when k is divided by 40?
9
Let s be ((2 + -1)*(4 - 5))/(-1). Calculate the remainder when (-38 - -103) + (s - (-2 - -1)) is divided by 26.
15
Suppose 9658 = 33*b + 9493. Let n(g) = g**2 - 2*g - 7. Calculate the remainder when n(6) is divided by b.
2
Let o(y) be the third derivative of -y**5/60 + y**4/6 + 65*y**3/3 + 64*y**2. Calculate the remainder when o(9) is divided by 18.
13
Suppose 0 = 4*s + 12, 10*s - 1407 = 3*y + 13*s. Let k = -396 - y. Let q(o) = 3*o**2 - 2*o + 3. Calculate the remainder when k is divided by q(-3).
34
Let s be (12/7)/((-4)/(-28)). Suppose -s*v - 4 = 20. Let y(t) = -14*t**3 + 4*t**2 + 7*t + 9. Calculate the remainder when y(v) is divided by 18.
15
Let w(u) = 16*u - 1824 - 5*u**2 + 4*u**2 + 1867