d by 10.
7
Let r(a) be the second derivative of a**5/20 - 7*a**4/12 - a**3/6 - 5*a**2/2 - 83*a. What is the remainder when 251 is divided by r(8)?
47
Let s(x) = x**2 + 49*x + 480. What is the remainder when 253 is divided by s(-36)?
1
Suppose -5*v + 273 = 3*x + 865, -3*v = -12. What is the remainder when 116 is divided by -4 - x/(30/5)?
26
Let t be (5/(10/12))/2. Suppose 509 = -t*h + 149. Let x = -1 - h. Calculate the remainder when x is divided by 31.
26
Let s(l) = 4*l - 37. Let a be s(9). Let p be a*6/(-3)*1. Suppose 0 = -3*u + 2*u - 4*r + 19, 5*u = -p*r + 59. Calculate the remainder when 20 is divided by u.
9
Suppose 86*t - 12530 = -60. What is the remainder when t is divided by 93?
52
Suppose 137*h = 22*h + 575. What is the remainder when 447 is divided by h?
2
Let o = 2 - 4. Let t = 12653 + -12641. Calculate the remainder when (-2)/(-4) + (-41)/o is divided by t.
9
Suppose 61*g - 69*g = -96. What is the remainder when 69 is divided by g + (1 - (4 + -3)*-1)?
13
Calculate the remainder when -5*(-8)/(-220) - 120/(-33)*192 is divided by 35.
33
Let f(q) = -17*q + 7. Let u be f(2). Let a = u + -111. Let s = a - -243. What is the remainder when s is divided by 12?
9
Let f = 21246 + -21239. Calculate the remainder when 1796 is divided by f.
4
Let x(i) = -3 + 17 + i + 0*i + 1. Calculate the remainder when 17 is divided by x(0).
2
Let i be (3/(-6))/(1/58). Suppose 12*y - 8*y - 124 = 0. Let a = i + y. Calculate the remainder when 3 is divided by a.
1
Suppose s = -3*o + 235, 24 = -o + 5*o. Calculate the remainder when 237 is divided by s.
20
Let i(q) = -q**2 - 58*q - 311. Let t be i(-52). Let g(j) = -9*j + 47. Calculate the remainder when 339 is divided by g(t).
35
Suppose -4*z + 0 = -44. Let p(h) be the first derivative of -5*h**2/2 - 22*h + 110. What is the remainder when p(-15) is divided by z?
9
Let g(y) = 56*y**2 - 155*y - 9. Calculate the remainder when 147 is divided by g(3).
27
Let a = 12 - 25. Let z(j) = -j**2 - 16*j - 9. Calculate the remainder when z(a) is divided by 14.
2
Let s(t) = 316*t + 1. Calculate the remainder when s(1) is divided by -2 + ((-16)/2 - -4) + 52.
41
Suppose -41*v = 70*v - 1255299. What is the remainder when v is divided by 14?
11
Let p = 851 - 126. Suppose -481 - p = -6*g. Calculate the remainder when g is divided by 70.
61
Calculate the remainder when 324 is divided by ((-80)/(-5))/((-12)/546*-7).
12
Let g = -817 + 450. Let k = 420 + g. What is the remainder when k is divided by 27?
26
Let c(l) = 4*l**2 + 5*l + 3. Suppose -i + 29 = -21 - 8. Calculate the remainder when i is divided by c(-3).
10
Let n(p) = -368*p**3 + 1. What is the remainder when n(-1) is divided by 2908 + -2802 + 0 + (1 - 13)?
87
Let o = -34337 + 34365. Suppose 2*r - 77 = r. What is the remainder when r is divided by o?
21
Suppose 0 = -5*x - 2*x + 749. Let u = x - 93. Suppose u*j - 15*j = -15. What is the remainder when 48 is divided by j?
3
Let q = -146 - -91. Calculate the remainder when (-11)/q - 519/(-5) is divided by 22.
16
Suppose -5*m = -5*y - 7*m + 7582, -3*m + 7578 = 5*y. What is the remainder when y is divided by 76?
74
Suppose -223 = -j + 4*l, 71 = j + 3*l - 124. Calculate the remainder when j is divided by 64.
15
Suppose -4*v = 8*o - 5*o - 480, -2*v = 5*o - 254. Calculate the remainder when 185 is divided by v.
68
Suppose -i = -9*i + 504. Let d = 76 - 54. Suppose 8*o + d = 9*o. What is the remainder when i is divided by o?
19
Let s = -10152 + 10240. Calculate the remainder when s is divided by 36.
16
Let j be (-80)/(-25) + -4 + (-297)/(-15). Suppose 12*m = j*m - 567. Calculate the remainder when m is divided by 22.
15
Let i(m) = -2*m - 19. Let p be i(-10). Suppose -2*w - p + 5 = 0. Suppose x - 7 = r, -5*r + r = w*x - 14. What is the remainder when 7 is divided by x?
0
Let v be (6/3 + -2)/1. Suppose 3*k + 6 = 5*k - 4*r, v = -5*k - 3*r + 80. Suppose -k*g = -6*g - 63. Calculate the remainder when 40 is divided by g.
4
What is the remainder when 3388 is divided by (12/(-14))/((-1056)/12320)?
8
Suppose 26*x - 1380 = -4*x. What is the remainder when 31 + -31 + 1*x is divided by 26?
20
Let s(d) = 57*d**2 - 72*d - 23. Calculate the remainder when s(5) is divided by 56.
34
Let b be (0 + 8)/((-3)/(-21)). Suppose -3591 = b*a - 75*a. Calculate the remainder when a is divided by 49.
42
Calculate the remainder when 198 is divided by (1/(-4*1/(-344)))/((-28)/(-42)).
69
Let s be -895 + 9/(54/24). What is the remainder when s/(-5) - (-8)/10 is divided by 20?
19
Let q be (-56)/(-84) - 1675/(-3). Suppose -18*w + 5*w + q = 0. What is the remainder when 125 is divided by w?
39
Suppose -1899 = 12*u - 34419. Calculate the remainder when u is divided by 12.
10
Suppose 17 = 5*z - 8. Suppose 99 = z*a - 0*m + 2*m, 10 = 5*m. Calculate the remainder when (588 - 583)*(-4)/((-8)/14) is divided by a.
16
Let g = 122 + -36. What is the remainder when 1369 is divided by g?
79
Suppose 3*n - 124 = 32. What is the remainder when n is divided by -6 - 16/(-2) - (-10 - -1)?
8
Let z(b) = -186*b + 4653. What is the remainder when 1832 is divided by z(25)?
2
Suppose 16*c + 32*c = 14*c + 12172. Calculate the remainder when c is divided by 356.
2
Let h = -29172 - -29446. Calculate the remainder when 1351 is divided by h.
255
Let b = 1511 - 1390. Calculate the remainder when 1691 is divided by b.
118
Suppose 3*f - 522 = 3*x, 171*x - 524 = -3*f + 173*x. What is the remainder when 575 is divided by f?
47
What is the remainder when (-9964)/47*(1 + -30) is divided by 143?
142
Let z = 571 - 501. Suppose -2*w - 3 = -w, -w = c - z. What is the remainder when c is divided by 26?
21
Suppose -14*b + 677 = -1829. Suppose 0 = 7*n - 339 - b. What is the remainder when n is divided by 27?
20
Suppose -14 = -5*q - 2*q. Suppose -k + 2*g = 4, -5*k = 4*g - q - 6. Let v(n) = -5*n + 56. What is the remainder when v(k) is divided by 30?
26
Suppose 2*k - 3*a = 115, 2*a = 3*k - 2*k - 56. Suppose -n + 8 = 2*d, 8*d + 27 = -d. What is the remainder when k is divided by n?
6
Let z(g) = -g**3 + 49*g**2 + 62*g - 217. What is the remainder when z(50) is divided by 106?
65
Let c(f) = 3*f**2 + 3*f + 1. Let o be 10/9*-15*27/(-6). Let m be (o/20 - 3)/(1/8). What is the remainder when c(m) is divided by 32?
31
Calculate the remainder when 1266/(((297/(-180))/11)/((-3)/15)) is divided by 24.
8
Let i be (0 - -12) + 2 + -6. Let d(r) = -r**3 + 8*r**2 + 13*r - 23. Calculate the remainder when 235 is divided by d(i).
73
Suppose 4*n + n = 625. Let a = -928 - -1313. Let r = a + -371. What is the remainder when n is divided by r?
13
Let q(k) = -2*k**2 - 77*k + 81. Calculate the remainder when 964 is divided by q(-36).
181
Let p = 2341 - 2148. Calculate the remainder when p is divided by 108.
85
Let l(h) = -6*h**2 + 261*h - 161. Calculate the remainder when l(37) is divided by 191.
136
Let j = -1052 + 2380. Suppose -25*l = -21*l - j. What is the remainder when l is divided by 37?
36
Let k be 2736/10 - 2 - (-66)/165. Suppose -3*p + 3*d = -36, 2*d + 37 = 3*p - 2*d. What is the remainder when (5 - 216/40) + k/5 is divided by p?
10
Suppose 4*b - 2746 = -2*j, 17*b + 3*j - 3432 = 12*b. Let y = b - 667. Calculate the remainder when 257 is divided by y.
17
Suppose o = -5*l + 18, -o - 4*l = -8*l. Calculate the remainder when (-544)/(-4) + (120/18 - 2/(-6)) is divided by o.
7
Suppose -4*o = -5*g + 55, -27*o = -25*o + 5*g + 5. Calculate the remainder when 83 is divided by 2 + (-8 - o) + 31.
13
Suppose 1011*t + 704 = 1033*t. What is the remainder when t is divided by 32?
0
Let m = 49824 - 25524. Calculate the remainder when m/190 - 4/(-38) is divided by 44.
40
Let w(y) = y**3 - 36*y**2 - 403*y + 92. Calculate the remainder when w(45) is divided by 68.
46
Calculate the remainder when ((-13180)/(-12))/((-3)/(-9)) is divided by 821.
11
Let m be ((-33)/2)/((-110)/16 + 7). Let t = 172 + m. Calculate the remainder when t is divided by 21.
19
Let n be -4 + (-10)/50*(-4 + -1). What is the remainder when ((-112)/(-10))/((-4)/(60/n)) is divided by 13?
4
Let l(w) = 15*w + 17. Let k be l(-1). Suppose 141 = k*o + o. Calculate the remainder when o is divided by 26.
21
Suppose -6*x - 6 + 30 = 0. Suppose 3*q + 66 = -3*v - v, -q = -x*v - 74. Let a = 29 + v. What is the remainder when 27 is divided by a?
5
Suppose 4*v + 21 - 137 = 0. What is the remainde