e remainder when (-2)/l*(10 - 22) is divided by 4.
2
Let b(t) = 2*t**3 - 9*t**2 + 10*t - 75. Let o be b(5). Suppose o = 86*x - 74*x - 564. Calculate the remainder when x is divided by 49/3 + 2/(-6).
15
Let p(f) = f**2 + 18*f - 21. Let q be p(-17). Let k = -25 - q. Suppose -4*g + k = -15. Calculate the remainder when 39 is divided by g.
4
Let x = 25 + 178. Suppose 10*i - 367 = x. What is the remainder when i is divided by 20?
17
Suppose 0 = -3555*w + 3533*w + 990. What is the remainder when 2381 is divided by w?
41
What is the remainder when 98 is divided by ((-11)/((-121)/22)*2)/((-2)/(-8))?
2
Let z(v) be the third derivative of -7/24*v**4 - 27*v**2 + 0*v + 0 - 3*v**3. What is the remainder when z(-4) is divided by 4?
2
Let u = 334 + -306. Suppose 4*p + 2*f + 0*f - u = 0, -5*f + 22 = 2*p. Calculate the remainder when 21 is divided by p.
3
Let b(g) = 20*g + 6. Suppose 0 = 2*h - 0*c - c - 21, 3*c + 3 = 0. Calculate the remainder when b(5) is divided by h.
6
What is the remainder when 7 + 4 + 3/((-21)/(-364)) is divided by 33?
30
Let j = 19 + -13. Let x(k) = j - 12 + 15 + 2*k + 18. What is the remainder when x(8) is divided by 15?
13
Let g be (-15)/10*(0 - -2). What is the remainder when 106 is divided by (-87)/g - (-6 + 2)/(-4)?
22
Let b(f) = -f**2 + 4. Let a be b(0). Suppose -4*w = y + 1 + 1, 72 = a*y - 4*w. Let u(t) = 16*t - 29. What is the remainder when y is divided by u(2)?
2
Let s(k) = 321*k + 6282. What is the remainder when s(-9) is divided by 170?
163
What is the remainder when 2592 is divided by (260/(-35))/(((-2)/(-10))/((-301)/215))?
44
Suppose 122*y - 26*y = 15072. What is the remainder when y is divided by 32?
29
Let d(f) = f**3 - 6*f**2 + 10*f + 4. Let c be d(6). Let b = -40 + c. Suppose 3*h - g = g + 46, -2*h + b = -3*g. What is the remainder when 62 is divided by h?
8
What is the remainder when 1669 is divided by 246/(-164) - (-411)/6?
61
Suppose -81 = 8*t - 11*t. Let c = 31 - t. Suppose 0*o - 4*o + 196 = c*k, -3*o - 5*k = -157. Calculate the remainder when o is divided by 15.
14
Let f be (21/(-2))/((-6)/(-16)). Calculate the remainder when 70 is divided by ((-27)/(-9)*(f + -1))/(-3).
12
Let n(w) = -51*w - 21. Let l(b) = 24*b + 11. Let c(a) = -13*l(a) - 6*n(a). Calculate the remainder when 60 is divided by c(-4).
4
Suppose 55*k = 54*k + 10 + 29. What is the remainder when 133 is divided by k?
16
Suppose y + 2*d - 21 = 0, -3*d + 84 = 124*y - 120*y. What is the remainder when 187 is divided by y?
19
Let j(k) = -k**3 - 135*k**2 + 406*k - 145. Calculate the remainder when j(-138) is divided by 63.
14
Suppose s - 16 = -0*s. Suppose 51*n + 59 = 52*n + t, 0 = -n + 4*t + 59. Calculate the remainder when n is divided by s.
11
What is the remainder when 216 is divided by (-18)/12*(-76)/6?
7
Let s(y) = 250*y - 32. Let q(m) = -62*m + 8. Let t(c) = 9*q(c) + 2*s(c). Calculate the remainder when t(-3) is divided by 23.
21
Suppose -3*o + 312 = -9*c + 6*c, -2*o = -4*c - 202. What is the remainder when 372 is divided by o?
51
Let t(u) = 424*u + 6053. Calculate the remainder when t(-11) is divided by 111.
57
Let j = -19468 + 20021. What is the remainder when 2216 is divided by j?
4
Suppose -8*j = 4*j + 168. Calculate the remainder when 31 is divided by -16*((-7)/j + -1).
7
Let q(v) = v**3 + 11*v**2 - 3*v - 11. Let x be q(-6). Let s = 281 - x. Suppose s - 16 = 2*p. What is the remainder when 155 is divided by p?
38
Let z = 1560 - 1545. Calculate the remainder when 54 is divided by z.
9
Let b = 9370 - 9287. What is the remainder when b is divided by 29?
25
Let s = 64 + -10. Suppose 991 + 658 = 17*l. What is the remainder when l is divided by (s - 4)*2/4?
22
Suppose -20*p + 79 = -121. Suppose -p*k = -110 + 30. Calculate the remainder when 126 is divided by k.
6
Let n = 6682 - 5000. Calculate the remainder when n is divided by 416.
18
Let b(l) = -4*l**3 - l**2 - 20*l + 212. Calculate the remainder when b(0) is divided by 53.
0
Suppose -823 = -4*d - c, -24*c + 20*c = 3*d - 601. Calculate the remainder when 317 is divided by d.
110
Let o = 16 + -14. Suppose 4*t = 5*m - 38, 4*t + t + 5 = o*m. Calculate the remainder when (2162/(-92))/(2/(-4)) is divided by m.
7
Suppose 18*g = -29 - 25. What is the remainder when (g - (-2)/(-2))*2500/(-80) is divided by 21?
20
Suppose -5*o - 2*x = 183, -3*o - 43 = -2*o + 2*x. Let q = 21 - o. Calculate the remainder when 104 is divided by q.
48
Suppose 0 = o + 3*h - 130, 18*o - 10*o = 4*h + 872. Suppose 4*c - 106 = -b, b - 4*c - 189 = -43. Let x = b - o. What is the remainder when 53 is divided by x?
11
Suppose 2*j = f + j - 37, 152 = 4*f - 3*j. Let t = -149248 - -149259. Calculate the remainder when f is divided by t.
8
Let t(h) = 33*h + 1550. Calculate the remainder when t(-23) is divided by 13.
11
Suppose -2*w = 2*y - 82, 148*y = -5*w + 146*y + 202. Calculate the remainder when w is divided by 1.
0
What is the remainder when (-202)/(-3) + 2/(-6) is divided by ((-76)/10)/(52 - 15196/290)?
10
Let r(v) = 10*v. Let z = -130 - -156. Suppose z*y = 24*y + 156. What is the remainder when y is divided by r(1)?
8
Calculate the remainder when (-242)/(-3) + (-64)/24 is divided by 17.
10
Let t = 22763 + -11327. Calculate the remainder when t is divided by 65.
61
Let u = 56 - 68. Let p = u + 10. What is the remainder when 23 is divided by 4/3*27/6 - p?
7
Let l(m) = -2*m**3 - 26*m**2 + 25*m - 313. What is the remainder when l(-21) is divided by 20?
18
Let k(n) = -n**2 + 23*n - 50. Let z(x) = 6*x - 7*x + 0*x - 4. Calculate the remainder when k(3) is divided by z(-7).
1
Let x(j) be the second derivative of -5*j**3/6 + 34*j**2 + 2*j - 22. What is the remainder when 195 is divided by x(7)?
30
Let q(v) = 4*v**3 - 3*v**2 - 4*v + 3. Suppose 53*p = 59*p - 12. Calculate the remainder when 1332 is divided by q(p).
12
Let s = 12 - 1. Let i = 215 + -203. Suppose -122 = -i*n + 106. Calculate the remainder when n is divided by s.
8
Let z(t) = -12*t**3 - 2*t**2 + 2*t + 2. Suppose -2*n - 3*q + 390 + 71 = 0, n + q - 232 = 0. Let s = 246 - n. Calculate the remainder when z(-2) is divided by s.
9
What is the remainder when (-66)/(-4)*((-1224)/(-54) + -12) is divided by 89?
87
Let c(d) = -25*d + 1809. Calculate the remainder when 821 is divided by c(70).
54
Suppose -1308 = 18*n - 23*n + j, 0 = -4*n + j + 1047. What is the remainder when n is divided by 27?
18
Suppose 0 = -3*x - 5*p + 95, -x + 4*x - 63 = 3*p. Suppose 0 = 5*u - 0*u - 35. What is the remainder when x is divided by u?
4
Suppose 4*q + 0*q = 68. Suppose -q*y + 20*y = 9. What is the remainder when 10 + 3*(-10)/15 is divided by y?
2
Let t = 86 - 85. Let u be (t + 4 - 1)/(-1). Let w = u + 8. Calculate the remainder when 30 is divided by w.
2
Suppose 0 = -629*j + 504*j + 750. Suppose -2*i - 5*h = -146, -5*h - 21 + 323 = 4*i. Suppose 0 = -o - o + i. What is the remainder when o is divided by j?
3
Suppose 5*h + 5*r = 640, 252 = 2*h - 0*h + r. Suppose 104496*g - 104486*g - 180 = 0. What is the remainder when h is divided by g?
16
Let u(s) = -246*s**2 + 7*s - 2. Let f be u(1). Let r = f + 784. Calculate the remainder when r is divided by 21.
18
Suppose 209*f - 338436 = 130*f. What is the remainder when f is divided by 37?
29
Suppose 5*f + 0*f + 3*t - 558 = 0, 0 = -4*f + 2*t + 464. Let g = f - 94. Suppose g = 3*k + 2. What is the remainder when 34 is divided by k?
4
Suppose -585*s + 41157 + 50688 = 0. What is the remainder when s is divided by 28?
17
Suppose 0 = -10*b + 82 - 12. Suppose 22 + 55 = b*t. What is the remainder when -1 - (-1 + 4) - -21 is divided by t?
6
Let m be -101 - ((-48)/6 - -9). Let z = m - -199. Suppose 2*a = -3*a - 4*d + 116, -5*d + 100 = 4*a. Calculate the remainder when z is divided by a.
17
Let p(d) = 3*d**2 - 23*d + 15. What is the remainder when p(11) is divided by 4 + (156/8)/(1/2)?
39
Suppose 4*m - 183 = 3*a, 3*m - 6 = a + 135. Let t = m + 8. Let f = t + -46. What is the remainder when 49 is divided by f?
9
Suppose -3*g = 3*i + 477, 5*g - 331 + 1122 = -4*i. What is the remainder when 137 is divided by g/(-20) - (-9)/(-12)?
4
Suppose 0*x - 15*x + 4470 = 0. Suppose 262 = 4*s - x. What is the remainder when s is divided by 29?
24
Let t be (2 + (1 - 2))/(4/16). Suppose t*g - 5 = 31. Let q = g + -4. Calculate the remainder when q is divided by 2.
1
Let s = -309 + 339. Calcul