 by s(11).
54
Suppose -2964 = -182*v + 1950. Let k(t) = -t**3 + t**2 - 2. What is the remainder when v is divided by k(-2)?
7
Let y(x) be the first derivative of 1/4*x**4 - 10/3*x**3 - 7 - 7*x + 9*x**2. What is the remainder when y(8) is divided by 3?
0
Calculate the remainder when 729 is divided by (32/160)/(0 - 1/(-245)).
43
Suppose 0 = 153*m - 100*m - 36835. What is the remainder when 719 is divided by m?
24
Suppose -38*m + 9543 = -2579. Calculate the remainder when m is divided by 33.
22
Suppose 0 = 13*r - 112 - 434. Suppose 9 = -3*g, 0 = -0*h - 5*h + 4*g + 27. What is the remainder when (-6 - (-270)/r)/((-4)/(-84)) is divided by h?
0
Suppose 4 = -9*t + 8*t. Let j = t + 14. Let b(w) = 2*w**2 - 6*w - 13. Calculate the remainder when b(j) is divided by 32.
31
What is the remainder when (-1 - 14/(-16)) + (-2517441)/(-5064) is divided by 56?
49
Suppose 12*m - 13261 = -77*m. Let y(c) = 2*c**2. Calculate the remainder when m is divided by y(-5).
49
Let g(u) be the third derivative of 1/8*u**4 - 5/6*u**3 + 0*u + 12*u**2 + 0 + 1/60*u**5. Calculate the remainder when 101 is divided by g(3).
10
Let q = 693 + -628. Calculate the remainder when 974 is divided by q.
64
Let j be 508 + (-2 - 0) + -1. Suppose -29*n + j = -133. Calculate the remainder when 85 is divided by n.
19
Suppose 75 = -2*y + 4*s - 11, 12 = 3*s. Let l = 56 + y. What is the remainder when l is divided by (3/15)/((-5)/(-125))?
1
Suppose 2*k - 3018 = -1526*y + 1521*y, 3*k = -3*y + 4518. What is the remainder when k is divided by 495?
19
Suppose g + 53 = 5*y, 0 = -3*y + 4*g - 6*g + 37. Let z(i) = i**3 - 12*i**2 + 11*i + 20. What is the remainder when z(y) is divided by 14?
6
Let c(b) = 2*b**2 - 798*b - 3966. What is the remainder when 90 is divided by c(-5)?
16
Suppose -4*k + 2*k = -1010. Let a be k/3 - 2/6. What is the remainder when 95 is divided by (a/(-63))/((-1)/9)?
23
What is the remainder when 5412 is divided by (2/(-7))/((-4)/(-104104)*-11)?
4
Let v be 1*239 - (-78 + 80). What is the remainder when (-60)/70 - v/(-7) is divided by 11?
0
Let l = 1519 - 1056. Let t = l - 191. What is the remainder when t is divided by 21?
20
Calculate the remainder when (-60)/3 + 699993/287 is divided by 804.
7
Let d(b) = -8*b - 5*b + 9*b + 38. Let p be d(8). Calculate the remainder when 17 is divided by (18/(-54))/(10/p + -2).
0
Let v(t) be the first derivative of -t**2/2 + 29*t + 55. What is the remainder when v(-13) is divided by 42?
0
Suppose 0 = 5*k + 4*i - 5, -4*k + i = -2*k + 11. Calculate the remainder when (-234)/k + 0/2 is divided by 714/(6 - -11)*(7 + (-39)/6).
15
Let v = 49 + -49. Suppose v = 2*k + 3 + 45. Let t = k + 30. What is the remainder when 22 is divided by t?
4
Let f = 24 - 20. Suppose 3*g = -4*u - 303, -g = f*g - 15. Let o = u - -120. Calculate the remainder when o is divided by 9.
6
Calculate the remainder when 323 is divided by (4 - -158)*(-9)/(-18).
80
Let d(b) = 14*b**2 - b + 1. What is the remainder when 135 is divided by d(2)?
25
Suppose 3*y - 12*y = 486. Let t(x) = x**3 - 15*x**2 + 8*x - 28. Let u be t(15). Let p = u + y. Calculate the remainder when 111 is divided by p.
35
Let y(o) = -20*o + 165. Let r be y(8). Suppose 3*i + 113 = 5*c, -5*c + 0*i + 115 = -r*i. Calculate the remainder when 53 is divided by c.
9
Let y = -136 + 225. Calculate the remainder when y is divided by (39/(-12))/(4/(-16)).
11
Let a(x) = x**3 - 10*x**2 + 23*x - 16. Let h be a(9). Suppose 4*i = 5*m + h, -i + 4*m = 3*m - 28. Calculate the remainder when 86 is divided by i.
26
Suppose 482*s + 263*s - 881971 = -136226. Calculate the remainder when s is divided by 23.
12
Let j = -3177 - -3172. Let r be (-3 + 1)*(2 + 2). What is the remainder when 94 is divided by (16/j)/(r/60)?
22
Let p(o) = 67*o**3 - 4*o**2 + 132*o - 131. Calculate the remainder when p(1) is divided by ((-2)/2)/(2/(-34)).
13
Suppose -5*u + 3*h + 194 = -54, -3*u + 144 = -h. Calculate the remainder when 119 is divided by u.
27
Let r(m) = 56*m + 216. Calculate the remainder when r(0) is divided by 29.
13
Let o = 3065 + -2917. What is the remainder when o is divided by 136?
12
Let h(p) be the first derivative of -p**4/2 - 11*p**3/3 + 51*p - 19. Calculate the remainder when h(-6) is divided by 15.
12
Suppose 18*j + 36 = 21*j. Suppose d + j = r - d, r + 23 = -5*d. Suppose -19 = -r*f + 13. What is the remainder when f is divided by 6?
4
Suppose 38 = 5*d - 47. Calculate the remainder when d is divided by (45/(-36))/((-4)/16) + 4.
8
Let x = 736 + -630. Calculate the remainder when x is divided by 10.
6
Let r(t) = 7*t + 0*t - t**2 + 13*t + 13 - t. Calculate the remainder when r(17) is divided by 26.
21
Suppose 12*m = -1603 - 545. Let v = m - -198. Calculate the remainder when 321 is divided by v.
17
Suppose 34*k - 26*k = 272. Suppose -4*f + k = 2*u - 2*f, 0 = -5*u + 4*f + 49. Calculate the remainder when 142 is divided by u.
12
Let q(c) = -66*c - 23. Let k = -57 - -143. Suppose 2*f + k = 4*b, 21 = b + f - 2*f. Calculate the remainder when q(-1) is divided by b.
21
Let s(r) = 7*r - 12*r + 492 - 11*r + 8*r - 2*r. Calculate the remainder when s(23) is divided by 24.
22
Suppose 121*l = 124*l + 3*v - 414, 0 = 4*l - v - 532. Calculate the remainder when 2677 is divided by l.
131
Let u(q) = 6306*q - 3182. Calculate the remainder when u(2) is divided by 12.
10
Suppose 4*y - 958 = -5*v + 2*y, -552 = -3*v - 5*y. What is the remainder when v is divided by 104?
90
Let t(l) = -l**2 + 6*l + 2. Let a = 188 + -123. Suppose -66*j + 6 = -a*j. What is the remainder when t(4) is divided by j?
4
Let b(k) = -28*k + 30*k - 3 + 4 + 132*k**2. Calculate the remainder when b(-1) is divided by 27.
23
Suppose -10*x + 24 + 6 = 0. Suppose 179 - 68 = x*t. Calculate the remainder when 293 is divided by t.
34
Suppose y - 2*v = 30, 171*y - 173*y = -v - 66. Suppose 0*t + t + 3 = -q, -5*q = -2*t + 1. What is the remainder when 9/(-3) - (-68 - q) is divided by y?
30
Let g be 2/(-3) - 1262/6. Let s = -121 - g. Let a = 1022 - 1009. Calculate the remainder when s is divided by a.
12
Let n be -3*11/(-3)*(-5 + 3). Suppose 20 = 4*g, 4*g = 2*a - 0*a + 8. Let f = a - n. What is the remainder when 82 is divided by f?
26
Suppose 6*r - 194 + 176 = 0. Let t(n) = 4*n**3 - 6*n + 19. Calculate the remainder when 541 is divided by t(r).
105
Let q be (7 + -6 - 16)*-13. Let a = -171 + q. Suppose 4*j = -8 + 44. Calculate the remainder when a is divided by j.
6
Suppose 12*w = -3491 + 10559. Calculate the remainder when w is divided by 40.
29
Let r(v) = 3*v**3 - 2*v**2. Let q be (-14)/35 - 76/10. Let z(m) = m**3 + 9*m**2 + 10*m + 20. Let f be z(q). What is the remainder when r(f) is divided by 18?
16
Suppose -427*d + 429*d + i = 55, 155 = 4*d - 3*i. Calculate the remainder when 1310 is divided by d.
30
Let h(g) = -2*g**3 - 4*g**2 + 69*g + 145. Calculate the remainder when 487 is divided by h(-2).
4
Suppose -q + 15 - 9 = 0, -688 = -4*v + 4*q. What is the remainder when v is divided by 71?
36
Let u be -2 + 0 + (-10 - 123). Let l = -104 - u. Calculate the remainder when 89 is divided by l.
27
Let c = -500 - -1568. Calculate the remainder when c is divided by 11.
1
Let r = -3325 - -3338. Calculate the remainder when 33 is divided by r.
7
Let s be 2/(-7 - (-14 - -9)). What is the remainder when (15/(-10) + s)*(9 - 11) is divided by 4?
1
Let l(y) = 2*y**2 - 2*y - 1. Let r = 556 - 505. Suppose 34*m = r*m - 3961. Calculate the remainder when m is divided by l(-4).
38
Let u(h) = -266*h - 24 + 568*h - 292*h. Calculate the remainder when 117 is divided by u(7).
25
Suppose -2*j = -0*a + 5*a - 443, -2*a + 176 = 2*j. Let d(s) = s**3 - 58*s**2 - 743*s - 216. What is the remainder when d(69) is divided by a?
87
Suppose -10294 - 12806 = -175*n. What is the remainder when n is divided by (-1)/((-4)/(-552)*-3)?
40
Let q = 32 - 27. Suppose -5*x = q*s - 10*x - 330, s = -5*x + 42. Calculate the remainder when s is divided by 25.
12
Suppose 129*y + 320*y - 88004 = 0. Calculate the remainder when y is divided by 84.
28
Suppose 0 = -3*i - i + 1564. Suppose 77 + 72 = 21*d - 145. What is the remainder when i is divided by d?
13
Let p(o) = 5*o**2 + 6*o - 4. Calculate the remainder when p(4) is divided by (3/(-6))/((-595)/(-98) - 6) + 29.
12
Suppose -3*x - 32 = r - 4, 3*r = 5*x - 14. Let w = -1 - r. Suppose 0 = 4461*p - 13528*