is the remainder when a(5) is divided by 48?
38
Let u = -18 + 13. Let r(k) = -k**3 - 6*k**2 - 8*k - 5. Let h(p) = 3*p**2 - 6*p - 6. Calculate the remainder when h(5) is divided by r(u).
9
Let y = 90 - 77. Calculate the remainder when 15 is divided by y.
2
Let g = 96 + -63. Suppose -2*y = 32 - 36. Suppose 672 = y*v + 5*v. What is the remainder when v is divided by g?
30
What is the remainder when 1272/108 + (4/(-9))/(-2) is divided by 5?
2
Suppose -831 = -8*k + 225. Calculate the remainder when 1979 is divided by k.
131
Let x(j) = 2*j**2 - 5*j - 5. Let d(p) = p**3 + 3*p**2 - 2. Let w = -16 - -13. Let o be d(w). What is the remainder when x(o) is divided by 5?
3
Suppose 5*m = -2*o - 17, 4*o - 13 = 2*o + 5*m. Let l(x) = -18*x. Calculate the remainder when (106/(-8))/((-24)/96) is divided by l(o).
17
Suppose 19*v - 208 = 3*v. Calculate the remainder when 46 is divided by v.
7
Let c be (51 - -1) + 14 + -16. Let k = 190 + 50. What is the remainder when 13 is divided by k/c + 8/(-10)?
1
Let u = 3 + -2. Let z(k) be the second derivative of 19*k**3/6 - k**2/2 + 45*k. Calculate the remainder when z(u) is divided by 7.
4
Let z = 119 + -50. Let q = 2 + 10. Calculate the remainder when z is divided by q.
9
Suppose -25*u + 84 = -13*u. Let l = -18 + 30. What is the remainder when l is divided by u?
5
What is the remainder when 3/(-6) + 1215/18 is divided by 54?
13
Let g(q) = 3*q**2 - 4*q + 2. What is the remainder when g(6) is divided by 2/(-7) - (-2608)/112?
17
Suppose -14*g + 2*g = -1008. Let w = 103 - g. What is the remainder when w is divided by 6?
1
Suppose -28 = -7*d + 42. Suppose d*w - 40 = 6*w. What is the remainder when 58 is divided by w?
8
Let u = 23 - 15. Let n be (-1)/(-2)*(-54)/3. Let i = 22 + n. What is the remainder when i is divided by u?
5
Suppose -2*q - m = -5*q + 608, 3*q + m - 610 = 0. Calculate the remainder when q is divided by 17.
16
Let m be 128/(-6)*15/(-4). Suppose -66 = -3*p + 4*b, -2*p + 0*b + 44 = -4*b. Calculate the remainder when (1 - m/(-2))*1 is divided by p.
19
Suppose 3*o - 16 = 44. Let g = 8 + -8. Suppose g*s + 55 = x - 2*s, 0 = -2*x - 4*s + 118. Calculate the remainder when x is divided by o.
17
Let c = 18 + -27. Calculate the remainder when 9 is divided by c/27 + 30/9.
0
Let b = -50 + 55. Suppose 0 = 5*q - b*a - 50, q + 4 = 3*a + 16. What is the remainder when 20 is divided by q?
2
Let j = -138 + 142. Let s(k) = 32*k + 4. Let y be s(3). Suppose -j*a - a = -y. What is the remainder when 79 is divided by a?
19
Suppose 3*a - 4*g = 293, 3*a - 2*g - 305 = -g. Calculate the remainder when a is divided by 21.
19
Let d(u) = 3*u + 59. Let l be d(-6). Suppose -3*x = 4*g + g - 205, 0 = g - 5*x - l. What is the remainder when 161 is divided by g?
38
Let s = 7 - 2. Let m(k) = 7*k + 9*k**2 - k**3 - 3*k**2 - 6*k - 4*k. What is the remainder when 18 is divided by m(s)?
8
Let r be -1 + 2 + (0 - -161). Let g = r + -109. Calculate the remainder when g is divided by (-830)/(-45) + (-16)/36.
17
Let s = -143 - -102. Let i = 60 + -84. Let f = i - s. Calculate the remainder when 33 is divided by f.
16
Let s(o) = o**2 + 3*o + 3. Let v be (10/20)/((-2)/(-16)). What is the remainder when s(v) is divided by 14?
3
Suppose 0 = 12*g - 152 - 508. What is the remainder when 603 is divided by g?
53
Suppose 0 = 2*l + l + 5*u - 168, -3*u - 224 = -4*l. Calculate the remainder when l is divided by 29.
27
Let f = -11110 + 11119. Let k(r) = r**3 + 5*r**2 - 9*r - 5. Calculate the remainder when k(-6) is divided by f.
4
Suppose 3*j + 4*y - 5*y + 14 = 0, -3*y + 6 = 0. Let m be 6/j*(-26)/13. What is the remainder when ((-48)/9 + m)*-3 is divided by 4?
3
Let d(v) = -3*v + 112. Calculate the remainder when 56 is divided by d(31).
18
Calculate the remainder when (-4152)/(-138) + (-10)/115 is divided by (-8)/(-8) + -1 + 0 + 11.
8
Suppose 2*j = -175 + 385. Calculate the remainder when j is divided by 30.
15
Let w = 8 - -14. Suppose -60 = 3*r - 7*r. What is the remainder when w is divided by 28/6 - r/(-45)?
2
Let d(t) = 3*t - 4. What is the remainder when d(6) is divided by 66/10 - ((-32)/(-120))/((-6)/9)?
0
Suppose 2*q + 72 = -11*h + 15*h, 5*h = 2*q + 92. What is the remainder when 325 is divided by h?
5
Suppose -9*u + 707 + 490 = 0. Calculate the remainder when u is divided by 42.
7
Calculate the remainder when ((-42)/14)/((-9)/84) is divided by 7.
0
Suppose 14*p - 2156 = -73*p + 10*p. Suppose -2*o + o = -54. What is the remainder when o is divided by p?
26
Let k = 13 - 8. Suppose 0 = 4*l - 1 - 15. Suppose 0*b - 5*b - l*m = -24, b = -5*m - 12. What is the remainder when b is divided by k?
3
Let p(g) be the second derivative of g**4/6 - 3*g**3/2 + 7*g**2/2 - 27*g. Calculate the remainder when p(6) is divided by 10.
5
Suppose 0 = -4*o - 4, 0*h + 3*h - 92 = -4*o. Let f = h - -17. What is the remainder when f is divided by 13?
10
Suppose 10 = 4*v - 150. Let g = 32 - 21. What is the remainder when v is divided by g?
7
Let u be 10*((-3)/(-4))/((-42)/(-28)). Suppose 4*n + 0 = -u*a + 13, 2*n + 3*a = 5. What is the remainder when 24 is divided by n?
3
Suppose -14*m + 154 = -3*m. What is the remainder when 39 is divided by m?
11
Let n(r) = r. Let p(j) = 2*j - 8. Let z(a) = 3*n(a) - p(a). Let i be z(-5). Let b(k) = 3*k + 5. What is the remainder when 53 is divided by b(i)?
11
Suppose 0*p + p - 3*u - 14 = 0, -3*p - 3*u = -90. Calculate the remainder when 89 is divided by p.
11
Let z = -151 + 78. Let n = z + 30. Let b = n - -82. What is the remainder when b is divided by 14?
11
Let l(z) = -3*z - 14. Let i be l(0). Let h = i - -31. What is the remainder when h is divided by 8?
1
Let m(f) = -4*f - 1. Let u = 1193 - 1187. Calculate the remainder when m(-4) is divided by u.
3
Let h = 276 + -243. What is the remainder when 177 is divided by h?
12
Let y = 98 + -85. Suppose 100 = -8*v + y*v. What is the remainder when v is divided by 7?
6
Suppose -4*h - 20*h = -264. Calculate the remainder when 12 is divided by h.
1
Let d = 2972 - 2557. What is the remainder when d is divided by 35?
30
Calculate the remainder when 75 is divided by 15 + 1/(18/4 - 5).
10
Let j be (-1)/((-5)/(-2) - 3). Let d(l) = 4*l - 3*l**3 - 5*l**j + 6*l**3 - l - l. What is the remainder when d(3) is divided by 15?
12
Let t = 26 - 52. Let q = -15 - t. Calculate the remainder when 30 is divided by q.
8
Let k = 2654 - 2468. Calculate the remainder when k is divided by 9.
6
Let p(a) = 49*a - 416. What is the remainder when p(9) is divided by 5?
0
Suppose o = 4*c + 40 + 22, 3*o + c = 173. What is the remainder when o is divided by 18 + (-5 + 4)*-2?
18
Let g = -371 + 379. Calculate the remainder when 23 is divided by g.
7
What is the remainder when (-49 - -51)*161/2 is divided by 25?
11
Let p be -12*(6/(-4))/(-3). Let z be (90/12)/(p/(-40)). Let t = z - 25. Calculate the remainder when 73 is divided by t.
23
Let n = 42 - 14. Calculate the remainder when 4/(-10) - (-6 + 1860/(-25)) is divided by n.
24
Suppose -37*y = -65*y + 1344. What is the remainder when 94 is divided by y?
46
Let k = 14 - 1. Let m = k + -24. Let d(h) = -3*h + 22. Calculate the remainder when d(m) is divided by 29.
26
Suppose 2*y = -3*y - 105. Let n = y - -15. Let a(p) = p + 18. Calculate the remainder when 47 is divided by a(n).
11
Let q be -4 + 1 - (-4 - -10). Let k = q + 26. What is the remainder when 46 is divided by k?
12
Let c(b) be the third derivative of b**4/3 - 7*b**3/6 - 39*b**2. What is the remainder when 174 is divided by c(4)?
24
Let r(f) = 24*f**2 - 2. Let o be r(1). Suppose -g = g - o. Calculate the remainder when 32 is divided by g.
10
Suppose 4*m + 29 = -g - 4*g, -4*m = g + 9. Let k be (5 + m)*(-492)/16. Let v = -79 - k. What is the remainder when v is divided by 15?
14
What is the remainder when 186 is divided by (0 - 6)*(-247)/39?
34
Suppose 0 = -j + 2*b + 3, -2*b - 1 = -3*b. Suppose k = j - 0. Calculate the remainder when 2/12 - (-166)/12 is divided by k.
4
Let r(n) = -n - 1. Let i be r(-3). Suppose k + 5*w = -4, 0 = -4*k + 6*k + i*w. What is the remainder when k is divided by (1/(-2))/((-2)/4)?
0
Let m = -51 - -78. Suppose 102 + m = 3*g. Calculate the remainder when g is divided by 9.
7
Let i(n) = -30*n. Let v = 0 - 1. Calculate the remainder when i(v) is divided by 12.
6
Let s = 128 + -150. What is the remainder when 94/4 - 11/s