 f(p) = -p**3 - 9*p**2 + 10*p + 1. What is the remainder when 2 is divided by f(q)?
0
Suppose -4*k - 5*h = -40 - 8, k + 2*h - 12 = 0. Let c = -14 + k. Let n = 12 - c. What is the remainder when 26 is divided by n?
12
Let h be 8/(-6) - (-168)/18. Let i = h + -24. Let d = i - -19. What is the remainder when 15 is divided by d?
0
Let v = 2 - 8. What is the remainder when (-4)/6 + 17/3 is divided by (12/4)/(v/(-8))?
1
Suppose -z + 21 = -12. Let p = 121 + -75. Suppose -2*w = 5*i - p, -2*w + 28 = i - 5*i. Calculate the remainder when z is divided by w.
15
Let p(x) = -33 + 3*x + 34 - x. What is the remainder when 9 is divided by p(2)?
4
Suppose -68 = -3*n + 4*s, -n = -0*n + 5*s - 48. What is the remainder when 189 is divided by n?
21
Suppose 3*x + 647 = 869. Calculate the remainder when x is divided by 16.
10
Let q(s) = -s**2 - 5*s - 8. Let p(x) = 2*x**2 + 4*x + 9. Let j(r) = -3*p(r) - 4*q(r). What is the remainder when 14 is divided by j(4)?
4
Let x = -1006 + 1013. What is the remainder when 159 is divided by x?
5
Let t(c) = c**2 + 159*c - 912. Suppose -159 = 4*o - 27. Let f = o - -60. Calculate the remainder when t(6) is divided by f.
24
Let c be (1/2)/(12/72). Let z(s) = 2*s + 9 - s**3 + 7*s**2 + c*s - 7*s. What is the remainder when z(6) is divided by 18?
15
Suppose -65 = -4*i + 5*j, 5*i = -10*j + 8*j + 73. What is the remainder when 88 is divided by i?
13
Let d(g) = 8*g - 15. Let q be d(10). Suppose -q*x = -67*x + 266. What is the remainder when x is divided by 34?
31
Suppose 0 = 9*k - 5*k, -15 = -3*h - 3*k. Let w = 3 - 1. What is the remainder when h is divided by w?
1
Suppose 4*u + 248 = 4*m, 0 = -3*m + u + 293 - 111. What is the remainder when 109 is divided by m?
49
Let l(w) = w**3 + 3*w**2 - 2*w + 13. Let p be l(-4). Let m(z) = z**3 - 7*z + 4. Calculate the remainder when m(p) is divided by 16.
14
Suppose 0 = 203*k - 221*k + 342. Calculate the remainder when 303 is divided by k.
18
Let i be 1340/35 - (-4)/(-14). Suppose -2*a + i = -60. Suppose 0 = 4*v - 35 - 33. What is the remainder when a is divided by v?
15
Let y(t) = t**3 + 65*t**2 + 183*t - 108. Suppose -7 - 41 = -2*s + 2*h, -4*h + 39 = s. Calculate the remainder when y(-62) is divided by s.
24
Suppose 0 = -3*l - 3 - 3, 438 = 4*x - l. Calculate the remainder when x is divided by 23.
17
Let i(o) = o**3 + 4*o**2 + o + 8. Let w be i(-4). Suppose w*v = 13*v - 63. Calculate the remainder when 19 is divided by v.
5
Suppose -2*t + 2*y = 108 - 24, 2*y - 2 = 0. Let g = t + 82. What is the remainder when g is divided by 14?
13
Calculate the remainder when 90 + -36*(-11)/44 is divided by 6.
3
Calculate the remainder when 267 is divided by (420/(-16) - 0)/((-6)/16).
57
Let i = -282 - -353. Calculate the remainder when i is divided by 34.
3
Let z(d) = -30*d - 49. What is the remainder when z(-3) is divided by 6?
5
Suppose 2*b - 30 = 2*u, 5*b + 2*u - 51 - 3 = 0. Calculate the remainder when 2446 is divided by b.
10
Suppose -630 = -3*a - 3*a. Suppose 0*h = -4*h + 72. Calculate the remainder when a is divided by h.
15
Let o(h) = h**2 - 2*h + 9. Suppose -198*a - 13761 = -39699. What is the remainder when a is divided by o(6)?
32
Suppose -290 = -6*c + 166. Calculate the remainder when c is divided by 21.
13
Suppose -200 = -25*h + 500. Calculate the remainder when 333 is divided by h.
25
Suppose -3*f = -1 - 8. Let r(c) = 22*c + 230. Calculate the remainder when r(-10) is divided by f.
1
Suppose -10*d + 1387 = -273. Suppose -2*p = 4*g - d, -3*g + 2*p - 49 = -4*g. What is the remainder when 153 is divided by g?
36
Suppose -f - 67 = 2*w - 5*w, -w = -5*f + 1. Let a be (-3)/(3/12 + -1). Suppose -a*b - 26 = -6*b. What is the remainder when w is divided by b?
11
Let h = 67 + -42. Let c be (-19 - 1)/(6/(-30)*-5). Calculate the remainder when h is divided by c/5 - 1*-18.
11
Suppose 3*k - 355 = -5*b, 3*k - 235 = k - 3*b. Let z = k + -102. Calculate the remainder when 36 is divided by z.
4
Suppose u + u + 3*d = 39, 5*d + 35 = 5*u. Suppose y = -4*g + 9, 10*g + 2*y = 5*g + u. What is the remainder when 7 is divided by (-3)/g + 13/2?
2
Suppose -5*p + 10*p = 20. Calculate the remainder when 149 is divided by p.
1
Let c = 3 + 0. Suppose -6*s + 2*m + 56 = -2*s, c*m + 69 = 5*s. Calculate the remainder when (-1)/(4/(-230)) + (-36)/(-24) is divided by s.
14
Let b(x) = 7*x**2 - 5*x + 21. Calculate the remainder when 267 is divided by b(3).
60
Let v(f) = 2*f**2 - 5*f - 6. Let q(g) = g**2 - 9*g + 32. What is the remainder when v(-7) is divided by q(9)?
31
Calculate the remainder when 7*(3/1)/1 is divided by -3*5/6*-2.
1
What is the remainder when ((-7)/(-14))/((-2)/(-2412)) is divided by 76?
71
Let f(k) = 11*k**2 + 55*k - 11. What is the remainder when f(-8) is divided by 240?
13
Suppose -12*i = -8*i + 40. What is the remainder when 9/(-6) - -2 - 1405/i is divided by 11?
9
Let u = -35 + 35. Suppose -7*q + 20 + 99 = u. What is the remainder when 48 is divided by q?
14
Let y(s) = 3*s**2 - 92*s - 67. Calculate the remainder when y(33) is divided by 19.
12
Suppose -48 - 36 = -4*w. What is the remainder when w is divided by 8/(-2) + -7 + 22?
10
Suppose 141*f - 144*f + 21 = 0. What is the remainder when 70 is divided by f?
0
Suppose 0 = 4*a + 3*p - 3081, 7 = -3*p - 8. Suppose 0 = -w + 7*w - a. What is the remainder when w is divided by 33?
30
Let m = 1028 - 931. What is the remainder when m is divided by 14?
13
Let z be 518/12 + 4/72*-3. Suppose 2*q = 3*x - z, 2*x + 35 = 4*x + 5*q. Calculate the remainder when 55 is divided by x.
10
Suppose n + t - 22 = 0, -n = 3*t - 8 - 20. Suppose v + n = h - 5, 4*v + 115 = 5*h. Calculate the remainder when 36 is divided by h.
17
Let m = -22 - -37. Let b be (1 - 122/4)*(-12 - -14). Let a = m - b. Calculate the remainder when a is divided by 19.
17
Suppose -d + 55 = -4*p + 8*p, 4*p = 4*d - 200. Calculate the remainder when d is divided by 20.
11
Suppose -q + 3*q = -22. Let n = 4 - q. Calculate the remainder when 103 is divided by n.
13
Let q be 1 + 3 + (3 - -3). Let t = q - 4. What is the remainder when t is divided by 3?
0
Suppose -4*a - 5 = -5*i, 2*a + 3 + 1 = 4*i. Let p be 3 + -1 + -3 + i. Suppose 4*b - 6*b + 28 = p. What is the remainder when 40 is divided by b?
12
Let d be (18/18)/((-2)/(-28)). Suppose 18*a = d*a + 52. Calculate the remainder when 49 is divided by a.
10
Let m(y) = 25 - 2 + 6*y - 9*y. Suppose 4*c - 84 = -5*j, -3*c + 26 + 42 = 5*j. Calculate the remainder when m(-8) is divided by c.
15
Let r be ((-24)/14)/(9/(-63)). Let b be (0 - r)/4 - -5. Suppose -2*m + 2*l = -20, -4*m + 34 = b*l - 36. What is the remainder when 59 is divided by m?
14
Let h(k) = -k**3 + 3*k**2 + 6*k - 2. Let j be h(4). Let a be (78/(-4))/((-3)/6). Suppose -3*r = -j*r + a. What is the remainder when 36 is divided by r?
10
Suppose -940 = -5*r - p + 411, -2*r + 536 = -4*p. Suppose -4*q + 10 = q. Suppose -q*i + r = i. What is the remainder when i is divided by 23?
21
Let o = -12 + 20. Suppose 3*a - 4*z = -10, 2*a + 0*a - 3*z + o = 0. Let h(g) = -g**3 + 4*g**2 - 2*g - 1. Calculate the remainder when 10 is divided by h(a).
1
Let p(r) = -2*r**3 - 9*r**2 - 4*r + 6. Let z be p(-6). Calculate the remainder when z/(-1)*3/(-6) is divided by 18.
15
What is the remainder when 132 is divided by ((-532)/95)/((-6)/15)?
6
Let v be (1 - -8) + -3 + 0. Let k(a) = a + 19. Let w = -5 + 18. Calculate the remainder when k(v) is divided by w.
12
Let y be -2*((-1290)/4)/5*-2. Let o = y - -428. Calculate the remainder when o is divided by 19.
18
Let n = 25 - 34. Let g = 42 + n. Calculate the remainder when 129 is divided by g.
30
Let j = -117 - -129. Suppose -8*v = -j*v + 24. What is the remainder when 26 is divided by v?
2
Let t(g) = -6*g + 1. Let o be t(-1). Suppose 5*p - 62 + o = 0. Calculate the remainder when p is divided by 5.
1
Let n = -50 - -90. Suppose -415 = -5*d - 5*j - n, 2*d - 147 = -j. Calculate the remainder when d is divided by 19.
15
Let b = -756 - -286. Let u = b + 679. What is the remainder when u is divided by 42?
41
Let i be -3 + 4 + (-26)/(-2). Suppose v = -v - i. Let x = 12 + v. Calculate the remainder when 7 is divided by x.
2
Let j = -463 - -550. Calculate the remainder when 252 is divided by j.
78
Suppose -258 = -3*y + y. Let j(n) = 7*n**2 + 242*n - 79. Calculate the remainder when y is divided by j(-35).
2