 g(f) = -21*f + 17. Let a(s) = -17*g(s) + 6*t(s). Calculate the remainder when a(z) is divided by 12.
8
Let y = -137 + 530. Suppose 55*l - y = 52*l. What is the remainder when l is divided by 19?
17
Suppose 0 = 3*y, 0*s + 2*s - 28 = y. Let w be s*(-5)/10 - 0/(-3). Let l = 68 + w. Calculate the remainder when l is divided by 9.
7
Let w(y) be the second derivative of -y**4/3 + y**3/6 + 9*y**2/2 + y. Let r be w(3). Let c = r - -34. What is the remainder when 29 is divided by c?
9
Let z = -24 - 54. Let d = -54 - z. Suppose -2*w = 4*w - 54. What is the remainder when d is divided by w?
6
Let m(u) = 63*u - 548. Let i(j) = -43*j + 365. Let v(p) = 8*i(p) + 5*m(p). What is the remainder when 20 is divided by v(6)?
2
Suppose 129 - 899 = -11*u. Let a = u + 102. Calculate the remainder when a is divided by 44.
40
Let h(c) = 9*c**3 + 10*c**2 - 27*c - 3. Calculate the remainder when h(3) is divided by 129.
120
Let p(x) = x**3 - 18*x**2 + 16*x + 15. Let r be p(17). Let h be (r - (-32)/28)/((-2)/(-14)). What is the remainder when 46 is divided by (-96)/h*-1*(-1)/1?
14
Let i = -218 - -23. Let l = i + 114. Let w = 108 + l. Calculate the remainder when w is divided by 14.
13
Let s(m) = 16*m**2 - 42*m - 529. What is the remainder when s(-12) is divided by 8?
7
Let w(d) = -5*d + 109. Let u be w(21). Suppose u*z - 41 - 19 = 0. Calculate the remainder when 59 is divided by z.
14
Let v(s) = -32*s**3 - 2*s**2 + 1. Let m = -145140 - -145254. What is the remainder when m is divided by v(-1)?
21
Let w be (136/24 + -7)/(4/(-3)). Suppose s - 5 = 0, 2*z - z + w = 2*s. Calculate the remainder when 350 is divided by z.
8
Let y(u) = -2*u**2 - 16*u - 1. Let d(q) = q**3 - 4*q**2 - 17*q + 54. Let t be d(5). Calculate the remainder when 171 is divided by y(t).
10
Calculate the remainder when 2311 is divided by (-228)/38 - (-6)/(24/(-185))*-4.
163
Suppose 3*y = -w + 152 - 92, -y - 4*w + 31 = 0. Calculate the remainder when 1188 is divided by y.
10
Let g(d) = 162 + d**2 + 3*d - 102 + 20*d. Calculate the remainder when g(-23) is divided by ((-16)/(-6))/(1/6).
12
Let u = 13 - -41. Suppose -5*g = 40, -47*g - 836 = -4*d - 49*g. Calculate the remainder when d is divided by u.
51
Suppose 4*p - 3*l = -1, 4*p - 2*l = 15 - 13. Suppose 0 = -p*y - 4, -5*y = 3*z - 1559. What is the remainder when z is divided by 66?
61
Let x = 8672 + -7170. What is the remainder when x is divided by 498?
8
Suppose -15*u + 465 = -165. Suppose -19*h + 25*h - 3006 = 0. Calculate the remainder when h is divided by u.
39
Suppose 8 = -2*l, -5*l - 7 = 5*n - 2. Suppose 4*w = -2*a + 2*w + 14, -4*w = -n*a - 14. Calculate the remainder when a/((-10)/27)*(4 + -9) is divided by 14.
13
Suppose -3*w - 2*g + 61 = 0, -2*g + 4 = -w + 19. Let u = 256 + -144. Suppose 9*n - 10*n + u = 0. Calculate the remainder when n is divided by w.
17
Suppose -14*b - 524 = -1406. Let w = 90 - b. Calculate the remainder when 134 is divided by w.
26
Suppose 23*n - 5560 = -9*n + 3752. Calculate the remainder when 771 is divided by n.
189
Suppose -5 = -3*k + 10. Let w(j) = -16*j**3 - 37*j**2 + 25*j + 35. Calculate the remainder when w(-3) is divided by k.
4
Suppose 65*x = 94*x - 14268. Calculate the remainder when x is divided by 121.
8
Let l(s) = -s**3 - 4*s**2 + 9*s - 6. Suppose -5*o + 5*c + 100 = 0, -2 = -6*o - 2*c + 134. Calculate the remainder when l(-7) is divided by o.
12
Let v be (-6)/21 - (-117)/(-21)*3. Let c = v + 10. What is the remainder when 27 is divided by (1 - -1) + c*9/(-21)?
2
Suppose -2*i + 26 = -48. Let l = i - 27. Calculate the remainder when (-2 + (-82)/(-4))/((-4)/(-8)) is divided by l.
7
Let m(z) = -2*z**2 - 29*z - 53. Let k be m(-12). Suppose -f = k - 36. Calculate the remainder when 172 is divided by f.
27
Let s be 2*4/(-6)*(-45)/10. Suppose 4*h - 8 = 2*x, 4*h - 3*x - 12 = -0. Calculate the remainder when s - -23 - (h + 0) is divided by 10.
9
Suppose 129*c + 5*f + 56 = 131*c, 3*c - 99 = 5*f. Calculate the remainder when 223 is divided by c.
8
Let s = -18928 + 19839. Calculate the remainder when s is divided by 184.
175
Suppose -i + 4 = b, 0 = -25*i - 4*b + 259 - 96. What is the remainder when 5456 is divided by i?
3
Let n = -6 + 13. Suppose -4*s + 4*d = -240, -3*s + 2107*d = 2102*d - 180. What is the remainder when s is divided by n?
4
Suppose 54 = 20*v + 44 - 70. What is the remainder when 193 is divided by v?
1
Suppose -84 = -24*r + 10*r. Suppose -r*s + 70 = -146. What is the remainder when s is divided by 6?
0
Let n = -26243 - -28417. What is the remainder when n is divided by 16?
14
Let c = -256 - -267. Let u = 2 + c. Suppose 0 = p + 3*p - 100. What is the remainder when p is divided by u?
12
Let u(g) = 3*g**2 - 8*g**2 - 25*g + 4*g**2 - 8*g - 107. Calculate the remainder when u(-25) is divided by 16.
13
Suppose -28*i + 58275 = 17*i. What is the remainder when i is divided by 216?
215
Let v be 4836/(-21) + 16/56. Let b = 253 + v. What is the remainder when 38 is divided by b?
15
Suppose -3450 = -20*v + 1290. Suppose 3 = z - 21. Calculate the remainder when v is divided by z.
21
Let p be (-2434)/18 + 18/81. Let n = -39 - p. Calculate the remainder when n is divided by 50.
46
Suppose 18*z + 953 - 8603 = 0. Let w = z + -364. Calculate the remainder when 111 is divided by w.
50
Let l(a) = a**2 + 12*a - 62. Let b be l(-16). Suppose -4*g + k = 2*k - 94, -b*g + 40 = 4*k. What is the remainder when g is divided by 16?
8
Let f(a) = -a**3 - 12*a**2 - 25*a - 76. What is the remainder when f(-11) is divided by 42?
36
Suppose -5*o + 289 = 5*n - 81, -312 = -4*n + 4*o. Suppose 0 = 317*t - 327*t + 6330. Let c = 649 - t. What is the remainder when n is divided by c?
12
Let x = 25 - 58. Let n = 31 + x. What is the remainder when 17 is divided by (-1 - 17)*1/n?
8
What is the remainder when 167 is divided by 127 + -115 + (-1 - -26)?
19
Suppose 4*l = 5*x + 9*l - 20, -4*x - 3*l + 14 = 0. Suppose -239 = -x*n - 2*r + 327, -n + 4*r + 283 = 0. What is the remainder when n is divided by 41?
37
Let r(t) = 2*t**3 - 229*t**2 - 587*t + 331. Calculate the remainder when r(117) is divided by 96.
1
Let h(o) = 16*o**2 + 4*o - 24. Let b be h(9). Calculate the remainder when 18/63 + b/28 is divided by 0 + -8 + 4 + 30.
21
Let z(u) = u**3 + 25*u**2 - 29*u - 84. Let b be z(-26). What is the remainder when 753 is divided by ((-21)/b)/(26/104)?
11
Let s be (3*15)/(-3)*24/(-60). What is the remainder when ((-813)/(-9))/(2/s) + 2 is divided by 25?
23
What is the remainder when 216 is divided by 433/(5 + 4 + -3) + 1/(-6)?
0
Let a = -4689 - -4728. Let z(m) = m**3 - 5*m**2 + 7*m + 7. What is the remainder when z(7) is divided by a?
37
Let i = -7128 - -7194. Calculate the remainder when 718 is divided by i.
58
Let i = 7 - 6. What is the remainder when -2 - (1 + -42 + i) is divided by (-1)/(7 + -3 + -3) + 14?
12
Suppose -5*h = -w + 16 + 13, 5 = h. Suppose -w*c + 165 = -49*c. Calculate the remainder when 55 is divided by c.
22
Let c(k) = 2*k**2 - 8*k - 6. Let f(m) = 258*m - 11564. Calculate the remainder when f(45) is divided by c(6).
10
Suppose -32*c = 2*c - c - 1815. Calculate the remainder when 1094 is divided by c.
49
Let z = -916 + 547. Let c = -297 - z. Calculate the remainder when c is divided by 15.
12
Suppose 0 = -19*i + 4239 - 781. Calculate the remainder when i is divided by 113.
69
Let t be -6 + 11/((-44)/8). Let v(r) = -6*r + 36. What is the remainder when v(t) is divided by 43?
41
Let d be (1*6)/(-11 - -13). Let n = 46 + -31. Suppose 3*i = -n, o = d*i + i + 22. What is the remainder when 7 is divided by o?
1
Let k = -164 - -79. Let p = -76 - k. Suppose -5*i = -101 - 114. What is the remainder when i is divided by p?
7
Let j = -10735 - -11806. Calculate the remainder when j is divided by 1056.
15
Let q = 4665 + -3134. What is the remainder when q is divided by 33?
13
Let z(c) = -4*c**2 - 27*c + 610. Calculate the remainder when 9159 is divided by z(-16).
15
What is the remainder when (-10 - 40/((-10)/1)) + 2057 is divided by 9?
8
Let j(d) = 132*d**2 - 39*d + 4. Calculate the remainder when j(-4) is divided by 253.
248
Let j = 39701 - 39627. What is the remainder when j is divided by (1 - 81)/(-2) + -2?
36
Let v(a) = 86*a - 871. What is the remainder when v(14) is divided by 61?
28
Suppose -14*y + 765 + 75 = 0. Suppose -y*b + 9*b = -7038. Let u = 1 - -