Calculate the remainder when v(-4) is divided by r.
21
Let k(n) = -1101*n + 1. Let y be k(-1). Suppose 2*l + 1106 = 5*v, 5*v = -2*l + 6*l + y. What is the remainder when v is divided by 32?
30
Suppose 5*y - 3*h - 5 = -1, -5*h = 4*y - 18. Suppose 0*t - 26 = -m + 5*t, 0 = 3*m + 5*t + y. Calculate the remainder when ((-4)/(-6))/(m/909) is divided by 26.
23
Let a = -142 + 219. Suppose 44 = 3*m + r, 0 = -4*m + r + 6 + 62. What is the remainder when a is divided by m?
13
Let w(a) = -a**3 - 17*a**2 + 5*a + 44. Calculate the remainder when w(-18) is divided by 28.
26
Suppose 5*d + 6 = -2*z - 13, -d - 20 = -5*z. Let q be ((-43)/(-4))/(d/(-40)). Let m = -29 + q. Calculate the remainder when m is divided by 20.
17
Suppose 4*i + 2*x + 2 = 5*i, -i = 5*x + 12. Let d(p) = 30*p**2 + 2*p - 2. Calculate the remainder when d(i) is divided by 29.
27
Suppose -u - 5*s = 6, 3*s = -3*u + 6 - 0. Suppose 0*r - u*r = -124. Let h = r + 44. Calculate the remainder when h is divided by 19.
18
Let y(h) = -h**3 + 5*h**2 - 5*h + 3. Suppose 72*b + 156 = 76*b. What is the remainder when b is divided by y(3)?
3
Calculate the remainder when (-21 - -22) + 85 + 0 is divided by 9.
5
Let y(g) = 31*g**2 + g - 3. Suppose 15*i - 12*i = 6. What is the remainder when y(i) is divided by 31?
30
Let c(u) = -u**2 + 5*u + 19. Let k be c(7). Let p(l) = 7*l - 20. What is the remainder when 73 is divided by p(k)?
13
Let c(h) = h**3 + 26*h**2 + 49*h - 43. Let k be c(-24). Let r = -30 - k. Calculate the remainder when 67 is divided by r.
30
Suppose 2*z = -z + 144. Calculate the remainder when z is divided by (4/(-12))/((-2)/78).
9
Let c(x) be the second derivative of x**4/12 - 2*x**3/3 - 3*x**2/2 - 16*x. Calculate the remainder when 53 is divided by c(7).
17
What is the remainder when 22 is divided by 21/(4/3*(-18)/(-16))?
8
Suppose 0 = 2*b - t - 9, 3*t - 5*t = b - 7. What is the remainder when (-74)/b*(6 + (-153)/18) is divided by 10?
7
Let v(i) = 20*i - 2. What is the remainder when 172 is divided by v(1)?
10
Let x be (-40)/100 + (-2)/(-5). Suppose x = 3*o - 6. Suppose 4*w + 60 = 5*t, -11 = -o*t - 4*w + 41. Calculate the remainder when 45 is divided by t.
13
Let z = -1964 + 2018. Calculate the remainder when 912 is divided by z.
48
Let o(d) be the third derivative of d**4/24 - d**3/6 + d**2. Let x = -17 - -39. Calculate the remainder when x is divided by o(7).
4
Let j = 607 + -82. What is the remainder when j is divided by 24?
21
Suppose 2*i = -i - 2*d + 415, 694 = 5*i + d. What is the remainder when i is divided by (-4 - -6)*(-400)/(-40)?
19
Suppose -5*j - 47 = -6*j. Calculate the remainder when j is divided by 29.
18
Suppose 25 = y + 19. Suppose 3*o - 1 - 5 = 0. Suppose o*u = 47 - 7. What is the remainder when u is divided by y?
2
Let r be 5/(-5) + 3/1. Suppose -362 = -3*l + r*d - 25, -4*l - 5*d = -434. Suppose -3*u - 10 = -67. What is the remainder when l is divided by u?
16
Suppose 0*l + 8 = 2*l - 2*f, 5*f - 15 = -2*l. Suppose -p + l*p - 88 = 0. What is the remainder when p is divided by 6?
4
Let p = 14 - -7. Suppose 3*u + 5*h = -11, 4*h = -0*u - 3*u - 7. Suppose -3*y - 8*m = -u*m - 200, -5*m + 260 = 4*y. What is the remainder when y is divided by p?
18
Let h = -37 - -166. What is the remainder when h is divided by 56?
17
What is the remainder when 71/2 - (-1)/(-2) is divided by ((-18)/5)/((-35)/175)?
17
Let w = 6 - 3. Suppose -7*p = -p - 162. Calculate the remainder when p is divided by 26/4 + w/6.
6
Let p(q) = q**2 + 4*q - 28. Let t be p(-7). Calculate the remainder when -2*3/(-21) + (-1097)/t is divided by 40.
37
Suppose 7303 = 9*u + 37*u + 6383. Let s(t) = -t**2 - 6*t + 2. What is the remainder when u is divided by s(-5)?
6
Let m = -5 + 3. Let q(a) = -2*a**3 + a**2 + 2. Calculate the remainder when q(m) is divided by 13.
9
Suppose 2*d = 3*a - 99, -18*a = -22*a + 2*d + 132. Let l = -2 - -5. Let q(m) = m**3 - m**2 - 1. Calculate the remainder when a is divided by q(l).
16
Suppose 0 = 42*u + 5096 - 16982. What is the remainder when u is divided by 37?
24
Let s(i) = -i**3 + 9*i**2 + 11*i - 1. Let b be 17/2 - (-24)/16. Suppose -7 = -2*r + 3. Calculate the remainder when s(b) is divided by r.
4
Let h(m) = 11*m**3 + m**2 + 11*m - 11. Let p be h(4). Suppose -72 = 2*i + y - p, 1350 = 4*i - 2*y. What is the remainder when i is divided by 19?
16
Let t(u) = u**2 - 214*u + 212*u + 6 + 0*u**2. Suppose -2*z = -3*n + 3 + 10, -z - 17 = -5*n. Calculate the remainder when 24 is divided by t(n).
6
Calculate the remainder when 179 is divided by 1946/30 - (-4)/30*1.
49
Suppose 4*g - 20 = 0, 3*g + 31 = 2*o + 6. What is the remainder when 76 is divided by o?
16
Let i = -1 - -5. Suppose 4*r + f = -0*f + 30, 24 = 4*r + i*f. Suppose -3 = -3*c, c - 31 = 3*x - r*x. Calculate the remainder when 22 is divided by x.
4
Suppose -3*k + 8 = k. Suppose 0 = 3*i - 8*i + 110. What is the remainder when i is divided by (-3)/(-6) + 11/k?
4
Let l be 3/4*10/15*0. Suppose -4*q + 72 = 4*w, 48 = -l*w + 3*w + q. Let y(s) = 7*s**2. Calculate the remainder when y(-2) is divided by w.
13
Suppose 0 = -4*q + 18 + 46. Suppose 2*o = 6*o - q. What is the remainder when 21 is divided by o?
1
Let m be 162/15 + 1 + 16/(-20). Let r be (-8)/(-6)*21/2. Let z = r - m. What is the remainder when z is divided by 2?
1
Let r = 14 - 6. Calculate the remainder when (3 - 4 - -3) + 16 - (2 - 7) is divided by r.
7
Let q(s) = 5*s**3 - 3*s**2 + 10. Calculate the remainder when q(3) is divided by 15.
13
Suppose -3*u = 4*g - 84 + 57, -4*u = 2*g - 6. Let v = 64 + -38. Calculate the remainder when v is divided by g.
8
Suppose -1120 = -82*l + 75*l. What is the remainder when l is divided by 14?
6
What is the remainder when (-22 + -1)*1*-3 is divided by (20/(-6))/((-3815)/16023)?
13
Let d(t) be the third derivative of -t**4/24 + 3*t**3/2 - 3*t**2. What is the remainder when 10 is divided by d(3)?
4
Let a be (-4)/(-5)*15/(-6). Let r be (6/(-8))/(a/16). Calculate the remainder when 2 is divided by (2/4)/(3/r).
0
Let s = -122 + 281. Calculate the remainder when s is divided by (-126)/(-8) + 22/88.
15
Suppose 50*i = 38*i + 648. Calculate the remainder when 245 is divided by i.
29
Let h = 240 - 14. Calculate the remainder when h is divided by 38.
36
Suppose -114 = -2*y - 2*m, y - 4*y + m = -155. Calculate the remainder when y is divided by 14.
11
Let l(c) = -3*c**3 + 5*c**2 - 9*c - 34. Calculate the remainder when l(-3) is divided by 10.
9
Let p = 1856 - 1841. What is the remainder when 562 is divided by p?
7
Let g(w) = 9*w**2 + 7*w + 14. Let v be g(-14). Let m(p) = 5*p - 6. What is the remainder when (v/(-100))/(1/(-5)) is divided by m(7)?
26
Suppose -4*n + 519 + 449 = 3*z, -4*n - 5*z = -968. Let t = n + -191. Let j = 31 + -17. What is the remainder when t is divided by j?
9
Suppose 5*g + 4*h = 515, 150 = g - 4*h + 47. Suppose 172 + g = 5*u. Let c = 95 - u. Calculate the remainder when 119 is divided by c.
39
Let n = 35 + -31. Suppose -4*c + 284 = -4*u, 2*u + 7 = -n*c + 297. What is the remainder when c is divided by 25?
22
Let j be 4 - 5/(5/1). Calculate the remainder when 92 + (9/(-3))/j is divided by 31.
29
Suppose -o = -5*o - 52. Let s = o - -15. Let j(v) = -v**3 + 6*v**2 - v + 7. What is the remainder when s is divided by j(6)?
0
Calculate the remainder when (-16 - -308) + (-8)/(8/(-4)) is divided by 28.
16
Let n = -267 + 319. What is the remainder when n is divided by 11?
8
Let r = -1278 + 1295. Suppose 5*i - 11 - 9 = 0. Suppose -66 = -a - n, 0*n - 267 = -i*a - n. Calculate the remainder when a is divided by r.
16
Suppose -s + 3*t + 162 = 45, -3*t + 15 = 0. Suppose -133*a = -s*a - 103. What is the remainder when a is divided by 27?
22
Let u = -203 - -240. Calculate the remainder when 332 is divided by u.
36
Suppose 27 = -4*y + 2*l - 17, 3*y = -2*l - 19. Let n = 39 - y. Calculate the remainder when n is divided by 2/(-6) - 62/(-6).
8
Let c be 0/(-1 + 1/(-1)). Suppose -4*l - l + 260 = c. What is the remainder when 15 is divided by l/14 + 14/49?
3
Suppose 5*l + 9*u - 258 = 7*u, 0 = -2*l + 4*u + 108. Calculate the remainder when 466 is divided by l.
50
Let q = -20 + 22. Let z = q + 1. Calculate the remainder when 22 - (-1 + 3 - z) is divided by 8.
7
Let n(o) = -o**3 - 8*o**2 + 1. Let k be n(-8). Calculate the remainder when 20 is divided by 13 - k - 1/1.
9
Let z =