ded by r?
12
Let y(n) be the third derivative of n**6/60 + n**5/30 - n**4/24 - n**2. Suppose 16*b - 17*b = -6. What is the remainder when y(2) is divided by b?
4
Let y = -154 - -168. What is the remainder when 37 is divided by y?
9
Let d = 172 - 119. Let m = -822 + 836. What is the remainder when d is divided by m?
11
Let l(m) = m**3 + 6*m**2 + 12. Let n = 59 - 65. Calculate the remainder when 35 is divided by l(n).
11
Suppose 0*n - 3*n + 36 = 0. Let o(v) = 7 - 36*v**2 + 0*v - 2*v + 31*v**2 + 2*v**3. What is the remainder when o(4) is divided by n?
11
Let g(i) = 9*i + 3 - i - i**2 + 5 + 3. Let u(x) = -x**3 + 13*x**2 + 17*x - 35. Calculate the remainder when u(14) is divided by g(9).
1
Suppose -2*h - 452 = -2*k - 124, 4*h = -4*k + 648. Calculate the remainder when k is divided by 35.
23
Let i(s) = 3*s**2 - 2*s - 54. Suppose -2*a = 4*v - 82, 0*v = v. Calculate the remainder when i(8) is divided by a.
40
Calculate the remainder when 1605 is divided by (935/34)/(30/24).
21
Let c(i) = i + 69. What is the remainder when 181 is divided by c(-6)?
55
Calculate the remainder when (-255 + 0)*12/(-30) is divided by 13.
11
Let g = 161 - 143. What is the remainder when 30 is divided by g?
12
Suppose 2*i - 20 = -4*m, 2*m - 5*m = -i - 5. Suppose 0 = 6*s - i*s + 18. Calculate the remainder when (-2056)/(-18) + 2/s is divided by 29.
27
Suppose 13*k - 491 = -3*w + 11*k, 2*w + k - 328 = 0. Calculate the remainder when 2474 is divided by w.
164
Let k = 74 + -70. Suppose 3*t + 5*l - 74 = 29, k*t = l + 122. What is the remainder when t is divided by 17?
14
Let y(k) = 2*k**2 + 8*k + 5. Let p be y(-5). Let z = -12 + p. Suppose -7 = -5*c - 2, -55 = -z*u - 4*c. Calculate the remainder when 65 is divided by u.
14
Suppose -2*m - 3*q + 61 = 0, -5*m + 43 = -3*m - 3*q. Let h = m + -8. Calculate the remainder when h is divided by 4.
2
Let o(j) = -j + 3. Let q be o(-9). Suppose 5*g - 8 = q. Calculate the remainder when 11 is divided by g.
3
Let i(m) = m + 41. What is the remainder when i(23) is divided by -2 + 5 + -3 - -22?
20
Let j be ((-3)/2)/((-3)/4). Suppose -3*d = a - j*d - 62, 3*d + 310 = 5*a. Let q = a + -43. What is the remainder when q is divided by 11?
8
Let a = -34 + 72. Suppose -c - 3*c = -32. Calculate the remainder when a is divided by c.
6
Suppose -3*b = 3*h - 66, 7*h = 5*b + 4*h - 70. Calculate the remainder when 44 is divided by b.
10
Suppose 5*q = 3*m - 31, 5*q = -3*m - 20 + 1. Suppose 4 = m*i + 2. Calculate the remainder when (-3 + 0)/i - -76 is divided by 37.
36
Suppose 48 + 180 = 4*x. Suppose -b = 15*b - 240. Calculate the remainder when x is divided by b.
12
Suppose -8*m - 119 = -335. Suppose m + 282 = 3*d - 3*u, -4*d = 3*u - 440. What is the remainder when d is divided by 27?
26
Let a = 3791 - 2692. What is the remainder when a is divided by 38?
35
Suppose k + 4*s - 9*s - 101 = 0, k - 108 = -2*s. What is the remainder when k is divided by 10?
6
Suppose 113 = 5*f + 2*h - 28, h + 51 = 2*f. Calculate the remainder when 79 is divided by f.
25
Suppose 4*m + 3*y = 68, -2*y - 2*y = -16. Let b = 1646 - 2452. What is the remainder when b/(-12) + 3/(-18) is divided by m?
11
Suppose 0 = 2*h - 1 - 5. Suppose -3*a = c - 44, 2*a - 65 - 32 = -h*c. Calculate the remainder when 85 is divided by c.
27
Let s(w) = 6*w**2 + 16*w + 20. What is the remainder when s(6) is divided by 37?
36
Suppose -5*l - 3*l = 280. What is the remainder when 7 is divided by 1*(2/18 - l/9)?
3
Let o = 259 + -179. Calculate the remainder when o is divided by 17.
12
Suppose 3*r + 2*r + 3*d - 8 = 0, 28 = 5*r - 2*d. Suppose -2*y - 21 = g - 54, 3*y - r*g - 77 = 0. What is the remainder when 72 is divided by y?
15
Suppose -20 = 5*p, 4*p + 0*p + 300 = 4*r. Let q = -29 - -53. What is the remainder when r is divided by q?
23
Suppose -2*o = 5*f - 3*f - 332, -4*f = 5*o - 832. Calculate the remainder when o is divided by 57.
54
Suppose -c + 9 - 2 = 0. Suppose 0 = -3*z + 8 + c. Suppose -z*o + r = 4*r - 53, -4*o - 3*r = -43. What is the remainder when o is divided by 3?
1
Suppose w - 3*c - 1266 = -4*w, 0 = -3*w + 3*c + 756. What is the remainder when w is divided by (-6)/((-18)/123) + 4/2?
40
Let s(v) = v**2 + 14*v. Suppose 47 + 9 = -4*n. Let d be s(n). Suppose -l + 55 = -d*l - k, 0 = 2*l + 4*k - 140. What is the remainder when l is divided by 16?
12
Let p be 1/(-2*3/834*-1). Let i = p + -126. What is the remainder when i is divided by 6?
1
Let z(y) = -y - 10. Let p be z(8). Let d = p + 14. Calculate the remainder when 93 is divided by d/(-3 + (-44)/(-16)).
13
Let c = 4 + 28. What is the remainder when 122 is divided by c?
26
Suppose -15*c = -533 - 277. Let p(q) = -q**2 + 8*q + 6. Let a be p(8). What is the remainder when c is divided by (-2 - 1)/(a/(-28))?
12
What is the remainder when -13 + 67 - (-4 - 1) is divided by 21?
17
Suppose 4*x - 102 = 2*r, -4*x - 2*r + 83 = -39. Let f = -22 + 38. What is the remainder when f is divided by (x/(-10) + 1)/(5/(-25))?
7
Let u be (-1)/1*(2 + -4). Suppose u*x + 27 = 1. What is the remainder when 11 is divided by 3/6 + x/(-2)?
4
Suppose 10*r + 27 - 107 = 0. Let z = 8 + 13. Calculate the remainder when z is divided by r.
5
Calculate the remainder when (-10)/(-75) - (133/(-15) - 0) is divided by 24/16*16/6.
1
Calculate the remainder when (-1)/(4 - 3976/992) is divided by 27.
16
Let d be (-3)/(-15) - (1 - (-12)/(-15)). Suppose -1 = -x, d*x - x = -2*v + 29. What is the remainder when v is divided by 9?
6
Let o = 1203 - 1196. Calculate the remainder when 164 is divided by o.
3
Let k = -69 + 90. Let m(n) = -2*n**2 + 4*n + 1. Let x be m(3). Calculate the remainder when (-303)/x - (-6)/15 is divided by k.
19
Let l = 341 - 295. Calculate the remainder when 228 is divided by l.
44
Suppose 193*h = 5*o + 197*h - 170, 2*h - 142 = -4*o. What is the remainder when 70 is divided by o?
32
Let f = -392 - -425. Calculate the remainder when 329 is divided by f.
32
Let b(u) be the first derivative of -u**2 - 12*u + 12. What is the remainder when 4/1*(-46)/(-8) is divided by b(-9)?
5
Let i(h) = -2*h**3 - 5*h**2 + 3*h + 7. Suppose -52 = 4*l - j + 48, 5*l + j + 125 = 0. Let k = l - -55. Calculate the remainder when i(-5) is divided by k.
27
Let d(q) = 24 - 3*q + 6*q + 0*q**3 - 26 + 17*q**3. What is the remainder when 470/9 - 2/9 is divided by d(1)?
16
Calculate the remainder when (6 - -13)/((-2)/(-8)) is divided by (-104)/(-10)*15/6.
24
Let t = 21 + -9. Let i = -141 - -186. Calculate the remainder when i is divided by t.
9
Calculate the remainder when 362 is divided by (4 - 1) + -8 - 381/(-3).
118
Let h(t) be the second derivative of t**5/20 - t**4/6 - 4*t**3/3 + 3*t**2 - 4*t. What is the remainder when h(5) is divided by 21?
20
Let b = 242 - -101. What is the remainder when b is divided by 23?
21
Let x(v) = 6*v - 22. Let f be x(18). Let w = 162 - f. Calculate the remainder when w is divided by 26.
24
Let j(v) be the second derivative of v**5/10 - 3*v**3/2 + 9*v**2/2 - 32*v. Calculate the remainder when 287 is divided by j(3).
35
Suppose 0 = -2*q + 23 - 7. Let d = q - -23. What is the remainder when d is divided by 8?
7
What is the remainder when -2 + 214 + -2 - (-7 - -4) is divided by 54?
51
Let z(t) = -t**3 + t**2 - t + 35. Suppose -3*x + 15 = -j, -x + 5 = 2*j + 2*j. What is the remainder when z(j) is divided by 12?
11
Let o = 0 - 0. Let i = o - -4. Suppose 0 = 5*v - r - 46, 2*v - 17 = i*r - 5*r. Calculate the remainder when 26 is divided by v.
8
Let u(s) = -10*s**2 + 13*s - 5 + 2 + s**3 - 4. Suppose 5*o + 21 = 2*f + 74, 0 = 3*o + 3*f - 15. Calculate the remainder when u(o) is divided by 15.
14
Let n = -1 - -7. Suppose 24*f - 15 = 19*f. Suppose 2*a - 45 = -a + 3*x, f*a = -4*x + 52. Calculate the remainder when a is divided by n.
4
Let a(i) be the first derivative of -i**4/4 + 11*i**3/3 + i**2/2 + 38*i + 33. Calculate the remainder when 96 is divided by a(11).
47
Suppose 0 = -10*r + 3*r - 21. Let o(s) = -3*s**3 + s**2 + 2*s + 7. Let p be o(r). Suppose -4*k + 69 = -p. Calculate the remainder when k is divided by 21.
19
Let s(f) = -12*f - 4. Let y be s(-2). Suppose -15 - y = -3*c + 5*d, 2*c - 17 = -3*d. Calculate the remainder when 36 is divided by c.
6
Let j(t) = 13*t - 6. Let m = -7 - -11. Let l(p) = p**3 - 16*p**2 + 14*p + 27. Calculate the remainder when j(m) is divided by l(15).
10
Let d