 remainder when p is divided by c?
12
Let l(x) be the first derivative of x**4/4 - 13*x**3/3 - 5*x**2/2 - 4*x - 86. What is the remainder when l(14) is divided by 25?
22
Suppose 46*g - 19340 = -49*g + 1845. What is the remainder when g is divided by 35?
13
Let i = 4 + 26. Suppose -4*n + 2*w + 1056 = 0, 4*n + 48*w - 1068 = 44*w. Calculate the remainder when n is divided by i.
25
Suppose 2*x - 68448 = -31*x + x. What is the remainder when x is divided by 51?
48
What is the remainder when 1824 is divided by (455 - 375) + -20 + 1?
55
Suppose 0*h = -8*h + 3088. Suppose l - h = 187. What is the remainder when l is divided by 48?
45
Let r(m) = -m**3 + 55*m**2 + 226*m - 14947. What is the remainder when r(54) is divided by (0 + -5)/(2/(-10))?
23
Let m = -67 - -70. Suppose 3*p = z - 105, m*z - 8*p = -9*p + 345. Calculate the remainder when z is divided by 9.
6
Let t = -6 + 10. Suppose -t*k + 24 = -7*k. Calculate the remainder when 121 is divided by 6 + k + 29 + -2.
21
Let f(n) = n**3 + 31*n**2 - 16*n + 389. What is the remainder when f(-30) is divided by 10?
9
Let h = 42 - 41. Let z be (h/2)/1 + 2/4. Calculate the remainder when 77 is divided by ((-16)/(-10))/(z - (-36)/(-40)).
13
Suppose 6274 = 5*p + 11*w - 15*w, 5*p - 2*w = 6272. What is the remainder when p is divided by 247?
19
Suppose -89 + 227 = 6*p - 0*p. What is the remainder when (-16 + 3)*(-28 + -2) is divided by p?
22
Let d(u) = -u**3 - 37*u**2 + 169*u + 550. Calculate the remainder when 3452 is divided by d(-41).
2
What is the remainder when 250 is divided by 518/(-4)*(8 + (-64)/7)?
102
Suppose -46 = 2*o - 156. Calculate the remainder when 875 is divided by o.
50
Let a = -7 - -15. Suppose -7*y + 3*r - a = -8*y, 0 = r + 5. What is the remainder when 113 is divided by y?
21
Let d(n) = 16*n**2 + 105*n + 908. Calculate the remainder when d(-13) is divided by 8.
7
Suppose -v = -5*i + 3, 5*v + 5*i + 12 - 57 = 0. Let r be 7/(v/(-18))*301/(-14). Suppose r - 954 = -9*u. What is the remainder when u is divided by 13?
11
Let c be (2 + (-1 - -328))/((-31)/(-62)). Let s = c + -625. Calculate the remainder when 228 is divided by s.
30
Let u(b) = 426*b + 2568. What is the remainder when 27 is divided by u(-6)?
3
Suppose 13*i - 17*i + 216 = -2*c, 3*i - 2*c - 159 = 0. Let x = 316 + -160. Calculate the remainder when x is divided by i.
42
Let u(d) = d**3 + 26*d**2 - 32*d - 571. Calculate the remainder when u(-26) is divided by 258.
3
Suppose -5*g = -l - 3404, 14*g - 6*g + 5*l - 5453 = 0. Calculate the remainder when g is divided by 34.
1
Let y(f) = f**2 + 57*f + 149. Suppose 0 = -p - w + 148, 3*p + 0*p - 4*w - 423 = 0. Calculate the remainder when p is divided by y(-55).
28
Let z(l) = l**3 + 16*l**2 - 10*l + 361. What is the remainder when z(-17) is divided by 229?
13
Suppose -2600 = 302*j - 297*j. Let t = -507 - j. Calculate the remainder when 76 is divided by t.
11
Let d(v) = -2*v**3 - 4*v**2 - 3*v. Let z(t) = -27*t**2 + 264*t + 68. What is the remainder when z(10) is divided by d(-2)?
2
Suppose 2*l = -2*r + 108, 139 = 5*r + l - 95. What is the remainder when 680 is divided by r?
5
Suppose -92*r + 95*r = 3, -622 = -3*h + 2*r. What is the remainder when 425 is divided by h?
9
Let c be (6/(-5))/(-2 + 148/80). Suppose -c*p + 27 = p. Let j(v) = 46*v - 11. Calculate the remainder when j(p) is divided by 26.
23
Suppose 2*d = 5*u - 187, -5*u - 102 = 5*d - 317. Suppose -49*w + 69*w = 1040. What is the remainder when w is divided by u?
13
Let h = 13 - 7. What is the remainder when (-1406)/(-11) + (0 + 9)/((-4653)/(-94)) is divided by h?
2
What is the remainder when (-1)/(-6) - (26907/4)/(2106/(-468)) is divided by 75?
70
Suppose 3514 + 2933 = 3*o + 3*m, 4*o - 8590 = 2*m. Calculate the remainder when o is divided by 86.
84
Let o be 144/60 + (-2)/5. What is the remainder when 494 is divided by 2 + (24 - (-3 - o))?
29
Suppose 0 = 1651*g - 1630*g - 9324. What is the remainder when g is divided by 163?
118
Let n(k) = 3*k**2 - 220*k - 475. What is the remainder when n(85) is divided by 624?
4
What is the remainder when 166 is divided by (4/3)/((-4)/(-306)) + -2*2?
68
Let x(s) = 250*s + 261. What is the remainder when 1616 is divided by x(-1)?
10
Let r = 17045 - 15327. Calculate the remainder when r is divided by 42.
38
Suppose 46*b = -728 + 4684. Calculate the remainder when 544 is divided by b.
28
Let f = 10 + -61. Suppose -170 = o - 2*n, -o - n - 41 - 123 = 0. Let p = f - o. What is the remainder when p is divided by 29?
28
Suppose -p - 2*l - 1422 = 3*l, 5*p - l + 7110 = 0. Calculate the remainder when p/(-27)*(-6)/(-4) is divided by 20.
19
Let i = -220 + 447. Let y = -165 + i. Calculate the remainder when y is divided by 15.
2
Calculate the remainder when (15/(46 - -14))/((-1)/(-8876)) is divided by 111.
110
Let q = -222131 + 222153. What is the remainder when 1/(-3) - (-9760)/12 is divided by q?
21
Let t be -4*5/(-30) - 128/12. Let q = 22 + t. What is the remainder when 45 is divided by q?
9
Let m(a) = a**3 + 20*a - 5 - 21*a**2 + 8 + 5. Suppose -11*f = 104 - 324. What is the remainder when 31 is divided by m(f)?
7
Let c = 157 - 77. Calculate the remainder when 202 is divided by c.
42
Suppose -9 = 4*n - 4*g - 81, 4*g + 18 = n. Calculate the remainder when 2697 is divided by n.
15
Calculate the remainder when 1074 + -4*(-10)/8 - 10/5 is divided by 269.
1
Let o be (-1788)/(-20) + -2 + (-2)/5. Suppose 93 + o = 12*n. Suppose -n = m - 16. Calculate the remainder when 3 is divided by m.
0
Let t = -24 + 199. Let n = t + -167. Calculate the remainder when 21 is divided by n.
5
Suppose -3*c = 10*u - 2521, u - c + 42 - 285 = 0. What is the remainder when 279 is divided by u?
29
Let k = -133 - -138. Suppose k*m - 87 = -l, -3*m - 2*m = -5*l + 525. What is the remainder when l is divided by 8?
6
Suppose -5993 = -21*h + 1966. Calculate the remainder when h is divided by 33.
16
Let u(q) = -9*q. Let w(z) = z**3 + 7*z**2 + 10*z + 13. Let b be w(-6). Let o = 1 - b. What is the remainder when u(-5) is divided by o?
9
Let b = 6613 - 6288. What is the remainder when b is divided by 82?
79
Suppose -5*d = -25*q - 220, 0 = -5*d + 5*q - 44 + 244. Calculate the remainder when 3118 is divided by d.
37
Suppose 17*n = -0*n + 2380. Suppose -x - 10 = y - 60, -n = -3*x - y. What is the remainder when 166 is divided by x?
31
Let g(b) = -b**3 - 10*b**2 + 14*b - 13. Let k be g(-11). Let v = -41 - k. What is the remainder when 26 is divided by (6 + 0)/(v/60*6)?
2
Let m(o) = 264*o**2 + 6*o + 9. What is the remainder when m(7) is divided by 30?
27
Let m(p) be the second derivative of -p**5/20 - 23*p**4/12 - 4*p**3 - 19*p**2 + 84*p. Calculate the remainder when 77 is divided by m(-22).
5
Let k = 10316 - 10300. Calculate the remainder when 297 is divided by k.
9
Suppose 2*w + 147 - 247 = 0. Let q = 3 + -6. What is the remainder when 195 is divided by w - ((1 - -2) + q)?
45
Suppose -3*x + 3*o + 2 + 4 = 0, x - 2*o - 1 = 0. Suppose x*z = -0*z + 5*u + 69, -5*z = u - 115. Calculate the remainder when z is divided by 6.
5
What is the remainder when 14/(-6) + (-12)/(-39) + 9/351 - -58 is divided by 284/14 - 2/7?
16
Let c(d) = 524*d + 327. What is the remainder when c(3) is divided by 50?
49
Let f be (-3)/(-1) - (-8 + 9). Suppose 0 = c - 2*p + 30, -5*p = 5*c - 0 + 105. What is the remainder when 41 is divided by (c/48)/(f/(-68))?
7
Let b = -28367 + 28523. Calculate the remainder when b is divided by 78.
0
Suppose -5*o + 10 = -0*o, 2*o + 1391 = c. Suppose -16*n + c = 15*n. What is the remainder when n is divided by 16?
13
Let r be 1/2*(8 + -8). Let v(y) = -2*y + 8. Suppose 0 = -2*q - 9*q + 341. Calculate the remainder when q is divided by v(r).
7
Suppose 0 = -123*u + 119*u - 240. Let x = u - -61. Let h(k) = 32*k**3 - k**2 + 2*k. What is the remainder when 98 is divided by h(x)?
32
Suppose 0 = -5*j + 2*j + 66. Suppose -j = -5*h - 2. Calculate the remainder when 59 is divided by ((-2)/h)/(4/6)*-28.
17
Let c = -11340 + 11484. Calculate the remainder when 1010 is divided by c.
2
Suppose 703*s - 701*s = -4*r + 2360, 2*r - 4*s - 1150 = 0. Calculate the remainder when r is divided by 142.
19
Let h = -63 - -102. Suppose -r - h = -4*r. Suppose -506 = -5*u - 56. Calculate the remainder when u is divided by r.
12
Let b(x) = x**3 - 5*x**2 + 229*x - 2016. Calculate the rema