s divided by 4.
1
Let p(k) = 3*k**3 - 13*k**2 + 8*k - 14. Let i = 145 + -139. Calculate the remainder when p(i) is divided by 12.
10
Let d(r) be the second derivative of -r**4/12 - 2*r**3/3 - 157*r**2/2 - 18*r. Let s be d(0). Calculate the remainder when 6/10 - 0 - s/5 is divided by 10.
2
Calculate the remainder when 256 is divided by (-15)/24 + (-41974)/(-496).
4
Suppose 1252*h - 9193 = 1223*h. What is the remainder when h is divided by 34?
11
Let v = -1900 - -2057. Calculate the remainder when v is divided by 62.
33
Suppose -4*l = 3*x - 168, -x + 9*l + 56 = 10*l. Calculate the remainder when x is divided by (-75)/(-6) + (-3)/(-6).
4
Let n be (-3 + 2)*1*13. Let i(w) = -6*w**3 - 4*w - 31 + 13*w**2 + 5*w**3 + w + 2*w**3. What is the remainder when 21 is divided by i(n)?
5
Let h = 336 - 327. Suppose a - h = 2*t, -2*a - 4*t + 4 + 22 = 0. Calculate the remainder when 86 is divided by a.
9
Suppose -5*j - 6 = 4*b, 2*j + 5*b + 0 - 1 = 0. Let q(f) = f + 4. Calculate the remainder when (-3 + 25)*4/8 is divided by q(j).
1
Let g(w) = w**2 + 2*w + 1. Let a = -93 - -91. Let t be g(a). Calculate the remainder when 47 is divided by t - 1 - 48/(-4).
11
Let g(o) = o**2 + o + 1. Let z(k) = 9*k**2 - 41*k + 11. Let s(u) = 3*g(u) - z(u). Let a = 22 - -12. Calculate the remainder when a is divided by s(7).
4
Let t(x) = 2*x**3 - x**2 - 4*x. Let f = 14757 - 14692. Calculate the remainder when f is divided by t(3).
32
Suppose 4*q + 3*p - 2759 + 1097 = 0, 2 = -p. What is the remainder when q is divided by 19?
18
Let x be 36*(-4)/(-18) - 15. Let u(v) = -3 - 13 - 10*v + 2 - v**2. Calculate the remainder when 20 is divided by u(x).
6
Let i(l) = l**2 + 2*l. Let u(x) = -5*x**2 + 14*x + 78. Let s(c) = -6*i(c) - u(c). Calculate the remainder when 54 is divided by s(-6).
12
Let b(d) = 6 + 3 + 2*d**2 + 0*d**2 + 4 + 19*d - 5*d. What is the remainder when 226 is divided by b(-8)?
23
Let y(o) = o**3 - 2*o**2 - 25*o + 5. Let l be y(-4). Suppose -71 = -l*j + 154. Let p(v) = 3*v**2 + 3*v - 2. What is the remainder when j is divided by p(2)?
9
Let z = 144 + -126. Suppose z = -6*v + 7*v. Calculate the remainder when 69 is divided by v.
15
Suppose -33 + 2 = -w. Suppose -24*q - w = -25*q. What is the remainder when 119 is divided by q?
26
What is the remainder when 6298 is divided by (-10)/12 + 19734/828?
19
Let d(z) be the first derivative of 62*z**3/3 + 3*z**2/2 + 3*z + 32. Let g be d(-1). Let o = g + 55. What is the remainder when o is divided by 30?
27
Suppose 0 = 1681*t - 1684*t + 75. Calculate the remainder when 2674 is divided by t.
24
Let f(y) = 80*y**3 + 21*y**2 - 81*y + 21. Calculate the remainder when 2131 is divided by f(3).
4
What is the remainder when (-7)/1232*-22 + (-2 - (-15831)/8) is divided by 250?
227
Suppose 3*i = p + 145 - 43, -i + 34 = -2*p. What is the remainder when 1452 is divided by i?
24
Let q(t) = -5*t**2 + 303*t - 118. Calculate the remainder when 1067 is divided by q(60).
13
Let j = 107 + -82. Suppose 2*c + 2*k - 63 = 31, 0 = 5*k + j. Suppose -5*x - 2*m + 4*m + 35 = 0, x - 5*m = -16. What is the remainder when c is divided by x?
7
Suppose -7720 = -5*d + 2*y, -5*d + 422*y - 418*y + 7720 = 0. What is the remainder when d is divided by 15?
14
Suppose -32 = o + 104. Calculate the remainder when 177 is divided by 603/15 + o/(-170).
13
Suppose -2*r = 2*r - 236. Let k(l) = -4*l**3 - 7*l**2 + 8*l - 12. What is the remainder when r is divided by k(-3)?
5
Let q be ((-2)/(-4))/((-2)/20). Let o(w) = -153*w + 37. Calculate the remainder when o(q) is divided by 35.
32
Suppose 4*a = -3*f + 886, -57 - 847 = -3*f + 5*a. Calculate the remainder when f is divided by 87.
37
Suppose 8 = 3*d + 5. Suppose -4*i + 2*i + 44 = 0. Calculate the remainder when 62 + (-2 - -1) + 1/d is divided by i.
18
Suppose -3*a + 4*b + 202 = 0, -1077 + 1255 = 3*a + 2*b. What is the remainder when 287 is divided by a?
39
Calculate the remainder when 621 is divided by (-397)/(-5) - (-1)/20*-8.
68
Let p(t) = -t + 4. Let a be p(7). What is the remainder when (a/2 - -3)/(39/1456) is divided by 30?
26
Let l(x) = 2*x + 64. Suppose -4*a = 26 + 18. What is the remainder when 122 is divided by l(a)?
38
Let p = 89 + -67. Let u(h) = -p*h + 0 - 5*h**2 + 4 - 4*h**2 + 8*h**2. What is the remainder when u(-21) is divided by 15?
10
Let g = -154 + 393. Suppose 20922 = 452*t + 499*t. Calculate the remainder when g is divided by t.
19
Let k(r) = 11*r**3 + 5*r**2 - 29*r - 54. Calculate the remainder when k(5) is divided by 15.
11
Suppose 32*x - 5*r + 330 = 37*x, r = -5. Calculate the remainder when 155 is divided by x.
13
Let y be 12/(-54) + 62*(-7)/(-9). Let n = -43 + y. Suppose -n*u = -3*u - 50. What is the remainder when 48 is divided by u?
23
Let p(w) = w**3 + 13*w**2 + 18*w + 7. Let n be p(-7). Suppose -n = -18*c + 59. Calculate the remainder when 35 is divided by c.
9
Let j(o) = 3*o + 45. Let p = -208 + 197. Calculate the remainder when 32 is divided by j(p).
8
Suppose 0 = -3*b + 9, 5*j - 29 - 12 = -2*b. Suppose 3*w = 5*i + j*w - 22, 7 = 2*i + w. What is the remainder when 3 is divided by i?
1
Let g = 23 + -7. Suppose -g = -u + 3. What is the remainder when -29 + 160 + (9 + (-210)/24)*4 is divided by u?
18
Let p = 14 + 46. Suppose g + 4 = 5*g. Suppose -g = -4*q + 3*b + 86, -2*q + 3*b + 45 = 0. What is the remainder when p is divided by q?
18
Let i(q) = 88*q + 1235. Calculate the remainder when 508 is divided by i(-14).
1
Let p = 277 - -484. What is the remainder when p is divided by 9?
5
Let b(k) = 2*k - 23. Let r be b(8). Let q(o) = -2*o - 6. Let f be q(r). Suppose 0 = 3*p - 28 - f. Calculate the remainder when 45 is divided by p.
9
Let r(p) = 4*p - 7. Suppose 2*b - 282 = -4*x, -b = -3*x + 3*b + 217. Let n = -63 + x. Calculate the remainder when r(n) is divided by 15.
10
Let u = 158 - 155. Suppose -b + 2*q = 2 - u, b - q - 6 = 0. Let p(k) = -12*k**3 + 2*k**2 + 2*k - 2. Calculate the remainder when p(-2) is divided by b.
10
Let m(z) = 11*z - 18. Let n(a) = -24*a - 10. Suppose 2*r + 11 + 5 = 0. What is the remainder when n(r) is divided by m(5)?
34
Let m(r) = 717*r - 7140. Suppose -8*b + 4*b = -944. What is the remainder when b is divided by m(10)?
26
Suppose -2*u + 13 = -19. Suppose -53*f - 1544 = -61*f. Let h = f - 187. What is the remainder when u is divided by h?
4
Let c be -25 + (-13)/((-26)/8). What is the remainder when 78 is divided by (-3)/c - (-558)/14?
38
Suppose 29*o = 30*o + 70*o - 23146. What is the remainder when 345 is divided by o?
19
Let o be -1 - -121*(1 + 2). Suppose -458 = -4*v + o. Calculate the remainder when v/2 + 6/4 + -2 is divided by 26.
24
Suppose 1125*b - 1129*b = -8. Suppose 2*i = -b*i + 224. Calculate the remainder when 388 is divided by i.
52
Let q(h) = 2*h**2 + 9*h - 39. Let a be q(6). Let k = a - 73. Let o = -7 + k. What is the remainder when 69 is divided by o?
6
Calculate the remainder when 660 is divided by (-8)/(-6)*6 + 2/(6/393).
104
Let b = 31 + -172. What is the remainder when 59 is divided by 55/44 - b/12?
7
Suppose -105*b - u = -101*b - 922, 2*b - 3*u = 482. What is the remainder when b is divided by 118?
114
Let t = -232 + 859. Let l = t + -446. What is the remainder when l is divided by 26?
25
Suppose 526 = -20*c + 686. Suppose -3*t + 7 = -2*t. Calculate the remainder when (12/c)/(51/646) is divided by t.
5
Suppose -50 = 15*a + 10. What is the remainder when 17 is divided by (2 + -9)*((-144)/(-28))/a?
8
Let b(z) = z**3 - 121*z**2 + 120*z + 153. What is the remainder when 168 is divided by b(120)?
15
Let v be (-4)/3*(-6)/2. Let t = v - 0. Calculate the remainder when (434/(-42) + 3)*(-6)/4 + -7 is divided by t.
0
Let r(x) = 18*x + 335. What is the remainder when 10886 is divided by r(-8)?
190
Let r = -93 + 5. Let w = -208 - r. Calculate the remainder when (w/16)/((-2)/20) is divided by 26.
23
Let h = 21 - 19. Suppose -o + 2*i = 45, -h*o - 5*i = o + 135. Calculate the remainder when 65 - (25/(-9) + 10/o) is divided by 18.
14
What is the remainder when 1055 is divided by (1 + (-2)/(-8))*8056/38?
260
Suppose 15*w - 16*w = 3. Let h = -118 + 215. Calculate the remainder when h is divided by 4/(2 + w) - -32 - 3.
22
Calculate the remainder when 41 is divided by (4/(-12))/((-425)/(-306) - (-9)/(-6)).
2
Let s(f) be the first derivative of -f**3/3 + 23*f**2/2 + 7*f - 2. Let g b