 -4)*48. Let k = a - 22. Calculate the remainder when 4 is divided by k.
0
Let z(v) = -v**2 - 14*v + 27. Let r be z(-16). Let u = 16 + r. What is the remainder when 43 is divided by u?
10
Let q be ((-6)/9)/((-6)/27) - 1. Suppose 5*n + 4*r = 18, 4*r - 4 - 8 = -q*n. Calculate the remainder when 12 is divided by n.
0
Let p = -3 - 1. Let f(t) be the second derivative of t**4/12 + 2*t**3/3 + 3*t**2 + 8*t. What is the remainder when f(p) is divided by 4?
2
Let a(g) be the first derivative of 1 - 3*g - 1/3*g**3 - 4*g**2. Calculate the remainder when 9 is divided by a(-7).
1
Let b(v) = 3*v + 1. Suppose s + 2 = 4. Let q(g) = 8*g**2 + 2*g - 1. What is the remainder when q(-2) is divided by b(s)?
6
Let w = 384 - 376. What is the remainder when 16 is divided by w?
0
Suppose -f = -2*f + 287. Calculate the remainder when f is divided by 29.
26
Let t be 30/3*(-4)/(-10). Suppose -336 = -t*c - 4*c. Calculate the remainder when c is divided by 0 + 1/(1/15).
12
Suppose j + 0*j = -v + 12, -5*v + j + 84 = 0. Calculate the remainder when (15/4)/((-3)/(-24)) is divided by v.
14
Let s = -541 - -561. Calculate the remainder when s is divided by 13.
7
Let b = 1175 + -1101. Calculate the remainder when 381 is divided by b.
11
What is the remainder when (24 - 22) + (-374)/(-2) is divided by 19?
18
Suppose -27 = -4*q - 7. Let n(d) = d - 2. Let j = 9 - -4. What is the remainder when j is divided by n(q)?
1
What is the remainder when 1 - (4983/(-132) - (-6)/8) is divided by 23?
15
Let l(v) = -10*v**2 + 151*v - 8. What is the remainder when (-1 - 11/(-2))*6 is divided by l(15)?
6
Suppose -l + 5*m + 129 = 0, -3*l + 221 + 166 = -m. What is the remainder when l is divided by 28?
17
Let t = 30 + -52. Let b be (-172)/t + (-14)/(-77). Suppose -3*p - b + 35 = 0. Calculate the remainder when 26 is divided by p.
8
Let w(r) = -3*r + 0 - 6 - 5 - 3*r. What is the remainder when 48 is divided by w(-6)?
23
Suppose -16 = -c + 136*s - 139*s, -c + s - 4 = 0. What is the remainder when 1 is divided by c?
0
Calculate the remainder when ((-20)/16)/((-7)/644) is divided by 32.
19
Suppose 4*z + 1 - 22 = -f, -9 = -f - z. Let t(a) be the third derivative of a**5/60 + a**4/12 - 3*a**2. What is the remainder when t(f) is divided by 19?
16
Let m = 28 - 21. Suppose m*u - 2*u - 825 = 0. What is the remainder when u is divided by 28?
25
Suppose -228 = -3*v + 3*u - 174, -5*u - 21 = -2*v. What is the remainder when v is divided by 5/2*70/25?
2
Suppose -4*z + 116 = -5*o, -o - 76 = -4*z + z. Calculate the remainder when 44 - 0/(6/(-1)) is divided by z.
20
Let a be (-59 + 1)/((-6)/45). Suppose -4*u = -a - 837. Suppose -u = -4*o - 2*o. Calculate the remainder when o is divided by 27.
26
Let i be 0 - (-7 + 3 + 0). Suppose -4*x - 5*w = -3*x + 1, x + i*w = 0. Suppose -2*n + 144 = x*n. What is the remainder when 71 is divided by n?
23
Let f = -28 + 86. Let k be (2 + -7 + 6)*(-2 + 35). Suppose -2*h - 3 = -k. Calculate the remainder when f is divided by h.
13
Let d be (-10)/(-45) + 75/27. Let c(t) = -t**3 + t**2 + 8*t - 4. Let r be c(d). Suppose -r*j - j = -33. What is the remainder when j is divided by 4?
3
Let z(o) = 3*o + 1. Let s be z(-4). Let m be 5 + ((-14)/(-6))/(16/48). What is the remainder when 22 is divided by m/(-24) + s/(-2)?
2
Let g(s) = s**3 - 8*s**2 + 13*s - 1. Let a be g(6). Suppose 7*i - 30 = a*i. Let l = i + -11. Calculate the remainder when 10 is divided by l.
2
Let v(o) = -3*o - 25. Calculate the remainder when 17 is divided by v(-10).
2
Calculate the remainder when (-5)/30 - (-741)/18 is divided by (-5)/(-2*1/6).
11
Let s = 4 - 1. Suppose -95 = -w + 3*m, -s*w = -4*w - m + 107. Suppose 4*h = w - 16. What is the remainder when 42 is divided by h?
20
Suppose -32*h + 742 + 1018 = 0. Calculate the remainder when 261 is divided by h.
41
Calculate the remainder when (154/11)/(1/6) is divided by 36.
12
Let a(r) = -r**2 + 6*r - 3. Suppose -3*q - 4*y + 19 = 0, 0*y = q - 5*y. Let h be a(q). What is the remainder when 15 is divided by -3*(h/3 + -2)?
3
Let l(q) = 8*q + 129. What is the remainder when 286 is divided by l(-11)?
40
Let m(x) = -x**3 + 12*x**2 + 4*x + 118. What is the remainder when 3 is divided by m(13)?
0
Let n be 9/(-27) + (-10)/6. Calculate the remainder when (-3)/(-9*1)*n*-201 is divided by 27.
26
Let y be (10/3)/(2/3). Suppose 2*h + y = 17. Calculate the remainder when (-25 + 17 - (0 + -9)) + 20 is divided by h.
3
Let t = -175 + 91. Let p = 89 + t. Calculate the remainder when 6 is divided by p.
1
Suppose -175 = -5*i - 135. What is the remainder when 16 is divided by i?
0
Let a = -324 + 347. What is the remainder when 77 is divided by a?
8
Suppose 3*b - 4 = -2*r + 38, 45 = 5*b - 5*r. Let y = 172 - 126. What is the remainder when y is divided by b?
10
Suppose 0 = -2*w + 4, -4*m - 3*w = -6*m + 76. Calculate the remainder when 562/7 + 6/(-21) is divided by m.
39
Suppose -d = d - 108. Let s = d + -49. What is the remainder when s is divided by 3?
2
Suppose -4*k + 189 = -43. Suppose -2*b + 140 = -k. What is the remainder when b is divided by 25?
24
Suppose 784 - 840 = -2*m. What is the remainder when 1117 is divided by m?
25
Suppose 0 = 5*q + 5*u - 765, q - 3*u + 81 - 242 = 0. Let p = q - 151. Let w(n) = n**3 + 2*n**2 - 2*n - 1. Calculate the remainder when p is divided by w(-2).
1
Suppose -4 = -4*w + 6*w. Let j = 1 - w. Suppose -3*h - 4*m - 78 = -5*h, -3*m + 162 = j*h. What is the remainder when h is divided by 17?
15
Suppose 2*z = -4*a + 578, 37*a - 33*a - 568 = -4*z. Calculate the remainder when a is divided by 8.
3
Let x(p) = 8*p**2 + 8*p + 23. What is the remainder when x(7) is divided by 43?
41
Let t = -89 - -31. Let r = 134 + t. Calculate the remainder when r is divided by 7.
6
Calculate the remainder when 13 is divided by 88/(-33)*45/(-12).
3
Suppose -54 = -3*q + 243. Suppose k + q = 3*p, 3*k = 4*k. Calculate the remainder when p is divided by 12.
9
Let a be (-2)/5 - 34/(-10). Let q(b) = -18*b + 39. Let g be q(-2). Suppose 0 = 6*p - a*p - g. What is the remainder when p is divided by 7?
4
Let q(i) = 1 - 4 - 5*i + 3*i**2 + 6*i**3 + 2 - 5*i**3. Let l be q(-4). Suppose 0 = t - l - 7. What is the remainder when 18 is divided by t?
8
Let d(g) = -2*g**3 - 34*g**2 + 30*g - 4. What is the remainder when d(-18) is divided by 67?
37
Let z(n) = -2*n - 3 - 1 - 2 + 5. Let o be z(1). What is the remainder when 2*16 + o + 6 is divided by 12?
11
What is the remainder when 15*-116*4/(-80) is divided by 13?
9
Let i(o) = 8*o**2 - 12*o - 2. Let w(v) = 7*v**2 - 11*v - 2. Let h(u) = -6*i(u) + 7*w(u). What is the remainder when 141 is divided by h(-5)?
45
Let q = 320 - 273. What is the remainder when 167 is divided by q?
26
Let q = -13 - -16. Suppose r - 3*i = 30, -3*i - 46 = -q*r + 68. What is the remainder when r is divided by 11?
9
Let q = 77 + -34. Calculate the remainder when q is divided by (-10 + 7)/(3/(-9)).
7
Suppose 20*f - 848 = 312. Calculate the remainder when 809 is divided by f.
55
Suppose 5*d + f - 11 = 0, -2*d = 2*d - 2*f - 6. Let z = -33087 - -33103. What is the remainder when z is divided by d?
0
Suppose 3*r - 560 = -r + 4*b, 3*r = -5*b + 460. Let u = -89 + r. Suppose 2*j + 0*j - u = 0. What is the remainder when 54 is divided by j?
26
Let j = 292 - 262. What is the remainder when 112 is divided by j?
22
Let x be -52*(-2)/10 - (-4)/(-10). What is the remainder when 5/(x/(-4))*(-3)/2 is divided by 2?
1
Let g = 11 - 7. Suppose -g*f + 18 = -22. Calculate the remainder when f is divided by -1*8*(-9)/12.
4
Suppose 0 = 25*f - 22*f + r - 49, -f = 2*r - 18. Calculate the remainder when 93 is divided by f.
13
Let u(d) = -d**3 - 3*d**2 + 127*d - 32. Suppose 0 = -4*i - 0*k - 2*k + 214, -k = 5*i - 272. What is the remainder when i is divided by u(-13)?
6
Suppose 3*i = -0 + 2979. What is the remainder when i is divided by 83?
80
Suppose 9 = 11*f - 233. What is the remainder when 351 is divided by f?
21
Let v = 128 + -316. Let j = 205 - v. Suppose 4*w + 1 - j = 0. What is the remainder when w is divided by 25?
23
Let b(o) = o**3 + 9*o**2 + 3*o + 51. Let y = -18 - -64. What is the remainder when y is divided by b(-9)?
22
Let f(l) = 3*l - 23. Let s be f(9). Suppose -4*p - s + 0 = -g, -4*g - 5*p = -79. What is the remainder when 61 is divided by g?
13
Suppose 15 = -3*x + 3, 0 = 4*t + 5*x - 12. Suppose 6