t is the remainder when 214 is divided by k(-2)?
4
Let t = -170 + 330. Let s = 170 - t. What is the remainder when 119 is divided by s?
9
Suppose 4*t - 278 - 123 = 3*r, -528 = 4*r - 2*t. Calculate the remainder when 7/(42/12) - r is divided by 15.
13
Suppose b + 202 = 5*x, 15*b = -x + 17*b + 44. Let s(a) = a + 11. What is the remainder when x is divided by s(11)?
18
Let c = -21767 - -21776. What is the remainder when 61 is divided by c?
7
Suppose 28*u - 862 = 631 - 569. Calculate the remainder when 48 is divided by u.
15
Suppose 0 = 6*m - 4*m - 114. Let h(g) = g**3 + 7*g**2 - 13*g - 47. Let c be h(-8). Calculate the remainder when m is divided by 0 + 5 + 25 + 7 + c.
27
Let c(i) = 12*i**3 + 3*i**2 - 17*i + 3. What is the remainder when 316 is divided by c(2)?
8
Suppose -8*y + 11*y = 300. What is the remainder when y + (-51)/18 + 6/(-36) is divided by 17?
12
Let s(r) = -r**3 + 8*r**2 + 10*r. Suppose 0 = -10*x + 10 + 710. Let b = x - 20. What is the remainder when b is divided by s(9)?
7
Let t(w) = 7 + 2 + 7 + 15*w + 13 + w**2. Calculate the remainder when t(-32) is divided by 16.
13
Let g(j) = 398*j - 3558. What is the remainder when 1218 is divided by g(9)?
18
Suppose -4*g = z - 689, 0*z + 3*z + 840 = 5*g. Suppose 3*i - 2*l - 71 = 0, 4687 = -4*i + 2*l + 4787. Calculate the remainder when g is divided by i.
26
Let t = -108 - -92. Let z(x) = x**2 + 17*x + 23. Let h be z(t). What is the remainder when (-3450)/(-27) + (h/(-9) - -1) is divided by 43?
42
Let t = -5 + 63. Let y(f) = -f**2 - 22*f + 106. Let u be y(4). Suppose 5*a - 52 = -k - 0, 22 = u*a + k. What is the remainder when t is divided by a?
8
Suppose 0*x + 2*x - 3*d - 11 = 0, 4*d = 2*x - 6. Suppose 175 = -8*l + x*l. Let f(h) = -7*h + 11. Calculate the remainder when f(-8) is divided by l.
32
Let j be 87 - 0 - -3 - (5 + -3). Let l = 90 - j. What is the remainder when 73 is divided by (15 - 1) + (l - 1)?
13
Suppose 195*s - 283*s = -7744. What is the remainder when 166 is divided by s?
78
Let k = 533 - 479. Suppose 5*j + a - 382 = 0, 2*j - 220 = -j + 4*a. Suppose -2*x = 2*x - j. What is the remainder when k is divided by x?
16
Suppose a + 418 = k, k - 2*a - 1035 = -622. What is the remainder when k is divided by 70?
3
Let n(p) be the first derivative of 4*p**2 - 25*p - 20. Suppose -2*s = -47 - 3. Calculate the remainder when s is divided by n(4).
4
Suppose -7*p = -3*p - 176. Suppose 0 = -f - 1586 + 1717. Calculate the remainder when f is divided by p.
43
Let p(d) = -83*d - 1. Let t be p(1). Let w = -50 - t. What is the remainder when w is divided by 25?
9
Suppose -9*y = -5657 - 3549 + 2051. What is the remainder when y is divided by 81?
66
Let g(z) = z**3 + 23*z**2 - 6*z - 128. Let o be g(-23). Suppose 3*w + o = 2*d - 91, -5*d + 264 = 4*w. Calculate the remainder when 111 is divided by d.
7
Let w = -9887 - -11296. Calculate the remainder when w is divided by 12.
5
Suppose 0 = 28*k - 1527 + 21687. Let f = 1157 + k. Calculate the remainder when f is divided by 11.
8
Let o(l) be the third derivative of l**5/30 - l**4/4 - l**3/6 + 57*l**2. Calculate the remainder when o(-5) is divided by 10.
9
Suppose 0 = -5*a - 4*f - f + 5, 2*a + f = 1. Suppose -5*j - 2*g = -16, 2*j - 10 = -a*j - 2*g. What is the remainder when 12 is divided by j?
0
Suppose 4*k - 434 - 1934 = -2*f, 0 = -2*f. What is the remainder when 1191 is divided by k?
7
Calculate the remainder when 774 is divided by (-32)/496 + 1306/62.
18
Let n = 40 - 34. Let o(a) = -a**3 + 6*a**2 + a + 10. Let t(h) = 2*h**2 + 25*h - 34. What is the remainder when t(-15) is divided by o(n)?
9
Suppose c - 47 = -26*v + 22*v, v - 7 = -5*c. What is the remainder when 126 is divided by 2/8 + -5 + 441/v?
30
Let u(l) = 467*l**2 - 7*l + 1. Calculate the remainder when u(1) is divided by 32.
13
Let r = -7 + 9. Suppose r*u - 9*u = -91. Let i(o) = 2*o**2 - 10*o + 12. What is the remainder when i(6) is divided by u?
11
Let a = -12543 + 13167. Calculate the remainder when a is divided by 19.
16
Let y = 49 + -37. Calculate the remainder when 352 is divided by y/(-8) - 290/(-4).
68
Suppose 20*h - 10*h = -1240. Let x = 139 + h. Calculate the remainder when 26 is divided by x.
11
Let z(b) = -b**2 - 38*b - 210. Calculate the remainder when 928 is divided by z(-8).
28
Let q(b) = b**3 - 7*b**2 + b. Let t(l) = -l**3 - 2*l**2 - 5. Let h = -173 - -169. What is the remainder when t(h) is divided by q(7)?
6
Suppose 16*h - 11*h = -190. Let k = -25 - h. Let o = -8 + k. What is the remainder when 18 is divided by o?
3
Suppose -388 = -5*n + t, 2*t - 84 = -n - t. Let w = n + -67. Suppose 5*m - h + 3*h = 44, 2*h = -m + 12. What is the remainder when w is divided by m?
3
Let f = -170152 + 170521. Calculate the remainder when f is divided by 1 + -2 + (32 - 0).
28
Let v = 32 - 32. Suppose 10*j - 123 - 57 = v. Let z = j + 41. What is the remainder when z is divided by 10?
9
Let q = -5670 + 5682. Let a(v) = -5*v**2 - 3*v**2 - 2*v**3 + 2*v**2 - 3*v + 1 + 1. What is the remainder when a(-4) is divided by q?
10
Suppose -4*q = -2*z - 4, -3*z + 3*q + 13 - 4 = 0. Suppose -3*m - z*l = -4*l - 117, 3*m = -2*l + 111. Calculate the remainder when 102 is divided by m.
32
Suppose -2*o - 6 = -3*h, h + 3*o = -h + 17. Calculate the remainder when (h/(-4)*1)/((-2)/62) is divided by 9.
4
Let a = -56 - -61. Suppose a*t = 2*w - 28, -3*w + 60 - 18 = 5*t. Suppose -14 - 11 = -5*f. What is the remainder when w is divided by f?
4
Suppose r + 12 = 2*r. Suppose 38*b = 39*b - r. Calculate the remainder when 67 is divided by b.
7
Suppose -205*l + 111*l = -87*l - 581. Suppose 3*h = 26 + 58. Calculate the remainder when l is divided by h.
27
Let v(i) be the first derivative of i**4/4 + 5*i**3 + 10*i**2 + 99*i - 156. What is the remainder when 63 is divided by v(-14)?
3
Suppose 916*a - 911*a - 64 = -2*f, -2*f + 16 = 2*a. Suppose -3*g - 29 + 80 = 0. Calculate the remainder when g is divided by a.
1
Let u(g) = -g**3 - 6*g**2 + g - 21. Let f be u(-7). Suppose 492 = 33*n - f*n. Calculate the remainder when n is divided by (-3)/9 - 92/(-6).
11
Suppose 0 = 3041*u - 3034*u - 84. What is the remainder when 307 is divided by u?
7
Let b(p) = 9*p**2 + 231*p + 636. Suppose 111 = v - 4. What is the remainder when v is divided by b(-3)?
19
Let j(h) = 3*h - 4. Let y be j(3). Suppose y*q = 9*q - 32. Calculate the remainder when 342/9 + (-1 - 6/(-3)) is divided by q.
7
Suppose 22*h = -3154 + 20688. What is the remainder when h is divided by 42?
41
Calculate the remainder when 2046 is divided by 9198/168 - (-2)/8 - 5.
46
Let r = 35751 - 35360. What is the remainder when r is divided by 93?
19
Suppose 146 = 5*u + 121, -j - u + 89 = 0. What is the remainder when 515 is divided by j?
11
Suppose 0 = -31*i + 208 + 288. Let w(j) = -2*j**2 - 26*j - 10. Calculate the remainder when w(-9) is divided by i.
14
Calculate the remainder when ((-45)/(-3) - 9 - -1973) + -2*2 is divided by 46.
43
Suppose -2*a + l = 1187, -7*l + 5*l = 2*a + 1178. What is the remainder when 108 is divided by a/(-32) - (-3)/6?
13
Let n(m) = m**2 + m + 3. Let u be n(-4). Suppose 4*l - 77 = s, 4*s - 5*s + 43 = 2*l. Suppose u*x + 60 = l*x. What is the remainder when x is divided by 7?
5
Suppose 2*u + 266 = 3*t, 0*t = -4*t - 4*u + 368. What is the remainder when 256 is divided by t?
76
Suppose -82763 = -49*z + 49047. What is the remainder when z is divided by 39?
38
What is the remainder when (2499 - -83) + (-6 - -3) is divided by 96?
83
Let z = 1107 + 1441. What is the remainder when z is divided by 5?
3
Calculate the remainder when 4/1*(-63)/42*(-18347)/14 is divided by 114.
111
Let h = 7 + -4. What is the remainder when 48 + 5/(-10)*2 is divided by -5*3/45 - (-40)/h?
8
Suppose 5*a = 5*s + 8765, -4*a - 2*s + 2737 = -4299. Calculate the remainder when a is divided by 22.
19
Suppose 0 = -r - 5, p - 285 = -3*p + 5*r. Let s = 120897 + -120885. What is the remainder when p is divided by s?
5
Suppose 83735 = 24*s + 15599. What is the remainder when s is divided by 943?
10
Let n = 1330 + -910. Suppose -16*f = 5*f - n. Calculate the remainder when 26 is divided by f.
6
Let o(k) = -2*k**2 + 5*k + 2. Let g be o(-4). Suppose -m + 32*c - 70 = 34*c, 5*m - 2*c = -302. Let n = g - m. What is the remainder when 23 is divided by n?
11
Suppose -b = 3*f - 22, -3*f + 5*b + 37 = 3*b. What is th