k(n) = -7*n + 5*n + 3 + 3*n**2 + n**3 - 4. Let p be k(2). Calculate the remainder when s(p) is divided by 6.
4
Let n(b) = 35*b**2 + 3*b + 3. What is the remainder when n(-1) is divided by 10?
5
Let q be ((0/(-2))/(-3 + 4))/2. Suppose q = 3*f - 5*m - 34, 32 = 5*f - m + 12. Suppose -2*x + 35 = f*x. What is the remainder when 27 is divided by x?
6
Suppose -31*l + 34*l - 2*y - 595 = 0, -l + 4*y = -195. Calculate the remainder when l is divided by 8.
7
Let y(j) = -j**2 + 480*j + 1951. What is the remainder when 43422 is divided by y(-4)?
12
Suppose 4 - 2 = z. Suppose z*i - 11 = 3. Let g = -6698 + 6737. What is the remainder when g is divided by i?
4
Suppose u + 176 = m, 13*m + 886 = 18*m + u. Let d = m - 155. Calculate the remainder when 61 is divided by d.
17
Suppose -10*s + 75 + 922 = 67. What is the remainder when 832 is divided by s?
88
Let v(r) = 30*r + 9. Suppose 0 = 2*k - 16 + 6. Calculate the remainder when v(k) is divided by 16.
15
Let l(a) = a**2 + 3*a - 5. Let x(v) = -v**2 - 2*v + 10. Let n be x(-5). Let q be l(n). Suppose -w + q = -3. What is the remainder when 38 is divided by w?
6
Suppose 4 + 23 = 3*f - 3*i, 5*i = -25. Let l(q) = -2*q**2 + 17*q - 10. What is the remainder when 98 is divided by l(f)?
20
Let b(i) = -10*i + 420. What is the remainder when b(-12) is divided by 43?
24
Let d = 18718 + -18675. Calculate the remainder when 6274 is divided by d.
39
Let h be 9 + (-60)/10 + -1*1. Suppose 8*z - 230 = -h*z. Calculate the remainder when 128 is divided by z.
13
Let s be 490/(-28) + (-1)/(-2). Let p = 24 + s. Suppose -5*z = 5*b - 55, -5*z + 2*b + 47 = 5*b. Calculate the remainder when z is divided by p.
0
Suppose 4*k - 9*k + 15 = 5*n, -5*k - 25 = 0. Let v = 145 + -26. Calculate the remainder when v is divided by n.
7
Suppose 193 - 643 = -15*l. Suppose 8*m - l = 3*m. Let y(w) = -w**3 + 6*w**2 - 3*w + 20. Calculate the remainder when 5 is divided by y(m).
1
Suppose -5*m = -95*g + 90*g - 365, 434 = 7*m + 4*g. Calculate the remainder when 195 is divided by m.
63
Let j(d) = d + 10. Let h be j(11). Suppose h*q + 152 = 22*q. What is the remainder when q is divided by 17?
16
Let x(r) = 163*r**2 + 939*r + 4. Calculate the remainder when 4990 is divided by x(-6).
230
Let x(o) = o**2 - 40*o - 595. Let j(f) = f**3 - 3*f**2 + 6*f - 6. Let y be j(4). Suppose 2*z = -2 + y. What is the remainder when x(52) is divided by z?
13
Suppose 5*r = 4*o + o, 0 = 4*o - 2*r + 10. Let a be -68*((-2)/8 + o). Suppose 5*i = -12*i + a. What is the remainder when 38 is divided by i?
17
Let f(r) = -r**2 + 78*r - 798. Calculate the remainder when f(54) is divided by 431.
67
Suppose -h - 25 + 70 = 5*c, -2*c - h + 18 = 0. Calculate the remainder when 3426 is divided by c.
6
Suppose -310*q + 432*q = 2562. What is the remainder when 3839 is divided by q?
17
Suppose 9*g - 1265 = -302. Calculate the remainder when g is divided by 30.
17
Let g(j) = -2*j**3 + 16*j**2 - 26*j + 8. Suppose 0 = 2*y + y - 4*i - 40, -y - 12 = 5*i. Calculate the remainder when g(5) is divided by y.
4
Let v(g) = -2*g**3 + 147*g**2 + 74*g + 52. Calculate the remainder when v(74) is divided by 30.
22
Let s = -33880 + 34474. Calculate the remainder when s is divided by 40.
34
Suppose -5*p + 12 = 2*y - 4*y, 0 = -y + p + 6. Calculate the remainder when 2531 is divided by y.
11
What is the remainder when 241 is divided by (-42340)/(-1044) - (-4)/9?
36
What is the remainder when ((-2)/(-12))/((15/53730)/((-3)/(-9))) is divided by 5?
4
Let u = -1 - -39. Let n = -4938 + 5123. What is the remainder when n is divided by u?
33
Let k = -10461 - -10505. What is the remainder when k is divided by 20?
4
Let c = -424 + 423. Calculate the remainder when 114 is divided by 45 - (0 - (c - 5)).
36
Calculate the remainder when 245 is divided by (48/16 + (-12)/2)*-7.
14
Suppose 9*b + w + 471 = 13*b, 4*b + 3*w = 491. Suppose 5*d + 2*v + v - 34 = 0, -3*d + 27 = 4*v. What is the remainder when b is divided by d?
4
Let o = 72 - 68. Suppose o*p + 4*z = 20, -4*p + 5*z = 2*z - 27. Let d = 102 + -91. Calculate the remainder when d is divided by p.
5
Suppose -24*h + 4 - 90 = -2894. Calculate the remainder when 9823 is divided by h.
112
Suppose -13*m = -17*m + 60. Suppose 134*i - 129*i = m. Let l = 6 + -2. What is the remainder when l is divided by i?
1
Let b = 329 - 285. Let y be -9 - -11 - (-1 + 0). Suppose g = -y*w + b, w + 5*g = -2*w + 52. What is the remainder when 55 is divided by w?
13
Suppose -3*h = 5*v - 273, 5*h + 5*v - 455 = 10*v. Calculate the remainder when 2909 is divided by h.
88
Let c = -357 + 375. Suppose 2*p + 224 = c*p. What is the remainder when 6/((-17)/20 - -1) is divided by p?
12
Let o(b) = -b**3 + 18*b**2 - 16*b - 47. Let j be o(15). Let u = j + -350. Calculate the remainder when 151 is divided by u.
37
Suppose -3*h + 9*p - 13*p + 296 = 0, 0 = 5*p + 5. Suppose 6*w + h = 526. What is the remainder when w is divided by 29?
13
Let f = -17804 - -17816. Suppose 3*o - 8*o - 30 = 0. Calculate the remainder when (-3)/o*-35*-2 is divided by f.
11
Calculate the remainder when (-24)/(-21) + (40/6)/(126/2889) is divided by 78.
76
Let k(f) = 858*f**2 + 81*f + 336. What is the remainder when k(-5) is divided by 132?
129
Let y = -143 - -245. Suppose 38 = f - 5*d, 5*f - 4*d + 2*d = 167. Calculate the remainder when y is divided by f.
3
Suppose -2*v + 48 + 42 = 0. Let h = 126 - v. What is the remainder when h is divided by 7?
4
Suppose -p = 3*p + 2*o - 34, -5*p + 2*o + 38 = 0. Calculate the remainder when 15 is divided by 19 - 11 - p/2.
3
Let s be (3 - -1 - 1)*(-696)/(-18). What is the remainder when (1 + 13)/(240/s + -2) is divided by 41?
39
Let q(w) be the third derivative of -w**4/24 + 11*w**3/2 + 92*w**2. Calculate the remainder when 56 is divided by q(2).
25
Suppose -56 + 860 = 6*i. What is the remainder when i is divided by (4 + -9)*23*(-2)/10?
19
Let p = 27368 - 27068. Calculate the remainder when 611 is divided by p.
11
Suppose -5*i + 51 = -4*i + p, 5*i - 234 = 2*p. Calculate the remainder when i is divided by 16 + (-4 + 5)*-6.
8
What is the remainder when 4*(111990/40 + 3 + 7) is divided by 11?
8
Let c(z) = 92*z + 1200. What is the remainder when (2 - 3) + 2 - -34 is divided by c(-13)?
3
Suppose -s - 4*z = 2*s - 104, 0 = -4*s + 3*z + 172. Suppose -2*p + 4 = 0, -163 = -3*t + 2*p + 163. What is the remainder when t is divided by s?
30
Suppose -4*m - 4*q - 40 = 0, 0*m + 2 = m - 2*q. What is the remainder when (-27)/4*-2*2 is divided by (-11 - -21 - m)/(2/2)?
11
Suppose -2*a + 788 = -5*n, -7*a + 1524 = -3*a + 3*n. What is the remainder when a is divided by 12/9 + (-7 - 854/(-21))?
34
Suppose 1765 = 52*v - 47*v. Let d = v + -314. What is the remainder when d is divided by (-4)/2 + (0 - -22)?
19
Suppose -3*t = 4*h - 98, 4*h + 0 = 3*t - 82. Suppose -17*g = -18*g + t. What is the remainder when 384 is divided by g?
24
Suppose -3*s + 7*s - 44 = 0. Let g be (0 - (-6)/4)*4. Suppose -z + g*u + 19 = 5*u, -24 = -z - 4*u. What is the remainder when z is divided by s?
9
Let p(t) = 10*t + 33. Let s be p(-3). Suppose 0 = -w + 2, 3*w = -s*i + 4*w + 112. Calculate the remainder when i is divided by 13.
12
Suppose 85*o - 7103 = -18*o - 408. What is the remainder when o is divided by (108/16)/(1/4)?
11
Let r(m) = m**2 + m + 4. Let w be r(0). Suppose 5*f = -2*x + 108, -f + 3*x = w*f - 88. Calculate the remainder when (12/(-5))/((-10)/325) is divided by f.
18
Suppose -4*b + 1511 + 777 = 0. Let j(s) = 63*s**3 + s. Calculate the remainder when b is divided by j(1).
60
Calculate the remainder when 2287 is divided by (-3701)/(-5) - (15/(-35) - 198/(-315)).
67
Let h = -118 - -127. Suppose h*f = 2*f + 91. What is the remainder when 29 is divided by f?
3
Suppose -3*t - 3*a = -13 - 41, 2*t - 5*a = 64. Calculate the remainder when 4368/(-420)*(0 + 50/(-4)) is divided by t.
20
Suppose -5*i - 11*v + 8*v + 978 = 0, 3*i = -5*v + 574. Suppose 207*t - i*t - 162 = 0. What is the remainder when 31 is divided by t?
13
Let a be 5/(-10)*7150/(-5) - 1. Let j = a + -656. Calculate the remainder when j is divided by 30.
28
Let r = 5 - 6. Let u be r/2 - ((-27)/(-2))/(-3). Suppose -12 = -u*p, -21 = 7*y - 11*y + 5*p. What is the remainder when 34 is divided by y?
7
Calculate the remainder when ((-50721)/212)/((-18)/24) is divided by 87.
58
Suppose 82 = 3*z - 23. 