at is the remainder when m is divided by 14?
11
Let j(a) = -a**2 + 8*a - 12. Let i = -146 + 151. Let z be j(i). Suppose -g = -5*n + 10, -5*g = z*n - 65 - 25. Calculate the remainder when g is divided by 4.
3
Suppose 0 = -12*h + 14*h - 84. Let i(b) = 6*b - 14. Let g be i(16). Suppose -3*t = -2*l - h - 16, 2*l = -4*t + g. What is the remainder when 39 is divided by t?
19
Let o(t) = -4*t + 59. Suppose -3*d + 2*p + 9 = -24, -4*p - 48 = -4*d. What is the remainder when 65 is divided by o(d)?
19
Suppose -j = 16 + 3. Let a be (3/1 - (-162)/(-63)) + 6580/196. Let i = a + j. What is the remainder when 41 is divided by i?
11
What is the remainder when -10 - (6/16 + (-137082)/496) is divided by 21?
14
Let f(n) = n**3 - 14*n**2 - 29*n - 5. Let y be f(16). Suppose -4*i - r + 21 = -y, i - 3*r - 3 = 0. Calculate the remainder when 36 is divided by i.
6
Suppose 3*k + 5*d - 18 = 6*k, -4 = k - d. What is the remainder when 158 is divided by 3*10/(-6) + 54 - k?
8
Let f(m) = 2*m + 0 + 6*m**2 + 0 + 1. Calculate the remainder when 31/((-1829)/(-1534)) + 6*-1 is divided by f(-1).
0
Let o(g) = -g + 10. Let k(u) be the second derivative of -23*u**3/6 + 15*u**2/2 + 2*u - 6. What is the remainder when k(-1) is divided by o(0)?
8
Suppose -3*d + 150 = -6*d. Let g = 56 + d. Calculate the remainder when 141 is divided by (10/15)/(g/117).
11
Let z(y) = 18*y + 20. Let r be z(3). Suppose r - 16 = t. Calculate the remainder when t is divided by 18.
4
Suppose -4*z - 33 = -2*o - 83, 0 = -2*z - o + 35. Let n(w) = 38 - 54*w**2 - 58*w**2 + 113*w**2 - z*w. Calculate the remainder when 75 is divided by n(15).
37
Let w(s) = 3*s**2 - 74*s + 347. What is the remainder when w(28) is divided by 215?
197
Let l(k) = k**3 - 11*k**2 + 7*k - 30. Let n be l(11). Suppose 0 = -4*c + 7*t - 2*t + 61, 3*c - 5*t = n. What is the remainder when c is divided by 6?
2
Let u = 541 - 556. Let p = u - -30. What is the remainder when 299 is divided by p?
14
Suppose -5*b + 21 + 34 = 0. Let y(k) = 8*k - 38. Let s = -175 + 194. Calculate the remainder when y(b) is divided by s.
12
Let u(o) = -3*o**2 + 37*o + 18. Let d = 369 - 131. What is the remainder when d is divided by u(11)?
52
Suppose n = 34 - 30. What is the remainder when 137 is divided by (-2)/(-11) - (n + (-2236)/44)?
43
Suppose -12*x + 279 = -345. Let f(p) be the second derivative of -p**4/12 + 13*p**3/6 - 23*p**2/2 + 34*p. Calculate the remainder when x is divided by f(6).
14
Let d = -50779 - -50789. Suppose -4*s + 437 = -s - 2*h, 2*s - 4*h = 278. What is the remainder when s is divided by d?
9
Let u be 1*(-1)/2*(-261 - 7). Suppose 0 = 9*v - 100 - u. What is the remainder when 150/(-2)*(0 - 1) is divided by v?
23
Suppose 4*z + 673 = 5*b + 357, 5*b + z = 296. What is the remainder when 351 is divided by b?
51
Suppose 0 = 4*g + 5*l - 59, g = 3*l + 2*l - 4. Suppose 2*q - 2*x = 40, 2*x + 34 = 52. Calculate the remainder when q is divided by g.
7
Suppose -1533 = -17*h + 1085. Let d(b) = b**2 - 6*b - 2. Calculate the remainder when h is divided by d(-5).
48
Let n = 25288 + -25273. Calculate the remainder when 7919 is divided by n.
14
Let v(y) = -5*y - 64. Let d(j) = 9*j + 128. Let c(w) = 6*d(w) + 11*v(w). Calculate the remainder when 250 is divided by c(0).
58
What is the remainder when 323 is divided by (-4)/((-80)/235) - 2/(-8)?
11
Let k = 115 + -62. Suppose m + 199 = -k. What is the remainder when (((-15)/(-2))/5)/((-7)/m) is divided by 14?
12
Let w = 1489 - 765. Let z = w - 560. Calculate the remainder when z is divided by 21.
17
Suppose -106 = -2*h + n, -4*n = -2*h + 103 + 3. What is the remainder when 5987 is divided by h?
51
Let w = 681 + -791. Calculate the remainder when 81 is divided by 699/33 - (-20)/w.
18
Suppose -2*y = -5*t + 1214, -449*y + 452*y + 1211 = 5*t. Calculate the remainder when 734 is divided by t.
2
Calculate the remainder when 329 is divided by ((-6)/10)/((6*(-9)/(-72))/(-30)).
17
Let a = -13901 - -13929. Calculate the remainder when 1397 is divided by a.
25
Let g(p) = p**3 - 16*p**2 - 39*p - 429. Calculate the remainder when g(23) is divided by 41.
40
Let r(g) = -2*g + 5. Let t be r(0). Suppose k - 65 = -2*x, -4*k + 5*k - t*x - 30 = 0. Calculate the remainder when k is divided by 2/(-5)*(-3)/((-3)/(-35)).
13
Suppose -5*n + 87 = 2. Let m(h) = 19*h + 16. Let x be m(-4). Let u = -51 - x. Calculate the remainder when n is divided by u.
8
What is the remainder when -2 - 21/7 - (-114 + -1) is divided by 28?
26
Suppose -82 = -4*l - 2*w, 2*l - 7*w = -2*w + 35. Let h(i) = 2555*i - 7307. What is the remainder when h(3) is divided by l?
18
Suppose 11 = -2*z + 3, 2*z + 6 = 2*a. Let w be (-19 - a)/(((-6)/(-8))/1). Let o = 88 + w. Calculate the remainder when o is divided by 11.
9
Let j(r) = 82*r - 20. Suppose u - 6 - 10 = 0. Calculate the remainder when j(1) is divided by u.
14
Let k = 310 + -282. Suppose 63 + 133 = k*g. What is the remainder when 60 is divided by g?
4
Suppose 18*w - 1674 = 2610. What is the remainder when 717 is divided by w?
3
Suppose 98 = 21*l + 56. Let w(x) be the first derivative of 14*x**3/3 + 2*x**2 - 7*x + 1. Calculate the remainder when w(l) is divided by 12.
9
Suppose 392 = -100*b + 2192. What is the remainder when 47 is divided by b?
11
Suppose 0 = -3*m + 5*f + 3528, -356 - 3214 = -3*m - 2*f. Calculate the remainder when m is divided by 22.
20
Suppose 2*b - 458 = -0*b. Suppose -8789 = -95*c - 84*c - 8*c. What is the remainder when b is divided by c?
41
Let v = -201 + 240. What is the remainder when 203 is divided by v?
8
Suppose 3*p + 2992 = -v, -4*p - 280 - 3710 = 2*v. Let j = p - -1013. Let y = -10 - -19. Calculate the remainder when j is divided by y.
7
Suppose 14*q = 12*q - 16. Let t(r) = -r**3 - 9*r**2 - 7*r + 15. Let p be t(q). Suppose -m + p = -0*m. What is the remainder when m is divided by 4?
3
Let c(z) = z**2 - 87*z + 711. What is the remainder when 138 is divided by c(9)?
3
Calculate the remainder when ((-128)/(-192))/((-7)/3) - 27794/(-14) is divided by 248.
1
Let r(m) = 144*m**2 - 2445*m + 8. What is the remainder when 400 is divided by r(17)?
46
Suppose 4*c - 2 = z, -590*z + 3*c + 24 = -585*z. Suppose 0 = 6*j - 3*j - 36. Calculate the remainder when j is divided by z.
0
Let v = -10 + 20. Calculate the remainder when (-3 - -65)*77/22 is divided by v.
7
Suppose -25 = 5*h, 3*f + h - 30 = 10. Let k be -7*(-18)/f*30. Suppose p + k = 10*p. What is the remainder when p is divided by 5?
3
Suppose i + 8 - 17 = 0. Let h(j) = j**3 - 10*j**2 + 14*j - 5. Suppose -45*g - 331 = -3841. What is the remainder when g is divided by h(i)?
38
Calculate the remainder when 8 + (3/15 - (-5568)/10) is divided by 9.
7
Let n be 8*3/12*2. Let k be n/8*(-3 - -3)/(-2). Suppose -4*t + k*a + 140 = 4*a, -2*t + 4*a + 46 = 0. Calculate the remainder when t is divided by 4.
3
Let w(h) = h**3 + 3*h**2 + 4*h + 8. Let x be w(-5). Let o = -73 - -140. Let k = x + o. Calculate the remainder when k is divided by 5.
0
Let h = -24 + 28. Let s be (-4 - 6)/((-8)/h). Suppose 5*g + 2*c + 101 = 281, s*g - 4*c - 150 = 0. What is the remainder when g is divided by 14?
6
Let w(l) = 33*l + 25. Calculate the remainder when w(1) is divided by (-5)/(-2) - 351/(-18).
14
Suppose -3*g + 5482 = 5*p, -9114 = 4*g - 9*g + 3*p. Suppose 99*w - g = 91*w. What is the remainder when w is divided by 35?
18
Let c(z) = 7*z**2 - 5*z + 1. What is the remainder when c(5) is divided by 22/(((-297)/(-396))/((-3)/(-2)))?
19
Suppose 2*z + 100 - 93 = g, -3*z = 0. What is the remainder when 60 is divided by g?
4
Suppose 32*g = -24*g - 34*g + 4140. What is the remainder when 735 is divided by g?
45
Suppose -5*v = -4*v + w - 9, 0 = 4*v + 3*w - 39. Suppose 5*p - 20 = 0, 31 = -3*q + p + 570. Suppose k + 136 = q. What is the remainder when k is divided by v?
9
Let c be (28/(-4) - -4) + 7. Let q(i) = -i**3 + 7*i**2 - 14*i + 20. Calculate the remainder when 190 is divided by q(c).
10
Suppose -168 = 2*r - 452. Let z = 514 - 362. Let o = z - r. What is the remainder when 25 is divided by o?
5
Calculate the remainder when 866/18 + 9*(-22)/1782 is divided by 19.
10
Let w(d) = 57*d**2 - 35*d + 85. What is the remainder when w(3) is divided by 100?
93
Let a = -513 + 657. What is the remainder when a is divided by 60?
24
Suppose 2*y + 57 = -123. Let o be (-8)/3*y/24. Suppose -o*z + 21 = -99