6).
9
Suppose 0 = -71*n + 74*n + 5*g - 329, 3*g - 424 = -4*n. Calculate the remainder when 1036 is divided by n.
6
Let y(u) = -2*u**3 - 2*u**2 + 8*u + 3. Suppose -7*r + 9*r + 4 = l, 0 = -r + 2*l + 1. Calculate the remainder when 50 is divided by y(r).
5
Let v(r) = -r**3 + 31*r**2 + 40*r - 73. Let d(g) be the first derivative of -3*g**2/2 - 2*g - 10. What is the remainder when v(32) is divided by d(-11)?
28
Calculate the remainder when 1/2*23/((-414)/(-1152)) is divided by 15.
2
Suppose 0 = -105*u + 67*u - 164*u + 47066. What is the remainder when u is divided by 127?
106
Let q be 4*(-3885)/14 + 5/1. What is the remainder when 100 is divided by ((-2)/5)/(34/q)?
9
Calculate the remainder when 11141 is divided by 57 + -51 - (-2)/(-2)*-5.
9
Suppose l + 1733 + 1085 = 10*a, -292 = -a - 5*l. Calculate the remainder when 7891 is divided by a.
277
Suppose 6*i - 280 = -100. What is the remainder when 42 is divided by (2 - i/18)*69?
19
Suppose 100*a - 59080 = 72*a. What is the remainder when a is divided by 262?
14
What is the remainder when -11 - 54/45*-335 is divided by 16?
7
Let q(c) = -3*c**2 - 89*c - 641. Suppose 5*v - 116 - 59 = 0. Calculate the remainder when v is divided by q(-15).
16
Suppose -114*p = -120*p + 1632. What is the remainder when p is divided by 12?
8
Let d = 18 - -3. Calculate the remainder when (-480)/(-1360) + 1246/34 is divided by d.
16
Let i(u) = u**3 + 12*u**2 - 28*u + 12. Let f be i(-14). Let s be 128/f - 4/6. Suppose 33 = -s*p + 13*p. Calculate the remainder when 85 is divided by p.
8
Let b = 617 + -614. Suppose 0 = 2*n + b*u - 58, 5*n + 7 - 152 = u. Calculate the remainder when n is divided by 6.
5
Let o = 163 - 143. Suppose 0 = w, -2*t = -6*w + 4*w - o. Calculate the remainder when 66 is divided by t.
6
Let p(d) = -2*d**3 - 5*d**2 - 43*d - 177. What is the remainder when 1846 is divided by p(-4)?
40
Let t(o) = 18*o**2 + 46*o - 17. Let x(z) = 10*z**2 + 23*z - 8. Let i(a) = 4*t(a) - 7*x(a). Calculate the remainder when 161 is divided by i(-13).
26
Let h(t) = 21*t**2 - 27*t + 10. Let f(u) = -u**2 + 10*u - 6. What is the remainder when h(2) is divided by f(7)?
10
Let g = -1283 - -1459. Calculate the remainder when 2109 is divided by g.
173
Let j = 438 - 268. Suppose -4*u = -5*r + 304, -5*r + u + j = -146. Calculate the remainder when r is divided by 14.
8
Suppose 5*t - 55 = x - 0*x, -25 = -5*x. What is the remainder when 167 is divided by t?
11
Let x = 66 - 63. Suppose -152 = m + 3*j, -x*j + 303 = -2*m + 44. What is the remainder when 54 is divided by m/(-7) + 24/(-42)?
16
Let p(v) = v**3 + 12*v**2 - 6*v - 14. Suppose -9*a = a - 1460. Let k = a + -130. Calculate the remainder when p(-12) is divided by k.
10
Let n be -14*(16/(-56))/1. Suppose -3*k - n*z = k - 40, 3*k + 5*z - 26 = 0. Calculate the remainder when k is divided by 3 - (-8 + (-3)/(-1)).
4
Suppose -3*y + 51 + 75 = 0. Let u = 370 + -357. Suppose -2*d + 27 = 5*t, 3*d - 4*t + u = 42. What is the remainder when y is divided by d?
9
Suppose 0 = -2*b + 9 + 1. Suppose -b*h + 40 = -25. What is the remainder when 7/(-2)*7*-2 is divided by h?
10
Let z = -3432 - -4922. Calculate the remainder when z is divided by 59.
15
Suppose -896 + 168 = 14*i. Let l = i - -77. What is the remainder when l is divided by 5?
0
Suppose 4*l - 828*m + 833*m - 511 = 0, 680 = 5*l - 2*m. What is the remainder when l is divided by 62?
10
Suppose 0 = -3*b + 1035 - 408. Let f(x) = -x**2 + 340*x - 28693. What is the remainder when b is divided by f(158)?
20
Let f be 15 - ((-2)/(-6) + 4/(-12)). Let b(j) = -j**3 + 18*j**2 - 36*j + 12. Calculate the remainder when b(f) is divided by (-2 - -16) + 1/1.
12
Let l = 106 - 106. Suppose l = -16*w + 785 - 273. Suppose 2*k + 3*n = 11, k = -3*k - 5*n + 23. Calculate the remainder when w is divided by k.
4
Let n(a) = -90 - 22 + 271*a - 259*a. Calculate the remainder when n(14) is divided by 20.
16
Calculate the remainder when (-1)/(1/10)*4234/(-145) is divided by 148.
144
Let n = -268 - -134. Let m = 233 + n. Let p = -26 - -51. What is the remainder when m is divided by p?
24
Let b = -6224 - -6305. Let u = 10 - -22. Calculate the remainder when b is divided by u.
17
Let i(j) = 2*j**3 - 11*j**2 + 19*j + 3. Let a be i(6). Let r = -38 - -23. What is the remainder when (a/r)/(9/(-45)) is divided by 8?
3
Suppose -239247 = 17426*d - 17453*d. Calculate the remainder when d is divided by 277.
274
Suppose 107 = -2*y + 393. Calculate the remainder when y is divided by 78/(-220) + (-14)/308 - (-147)/5.
27
Let z(q) = -4855*q + 2. What is the remainder when z(-1) is divided by 162?
159
Let p(m) = 0*m**3 - 4*m**2 + 6 - 3*m**3 - 4*m**2 + 4*m**3 - 29*m. Let t be p(12). Suppose 2*u - 20*u = -t. What is the remainder when 62 is divided by u?
10
Calculate the remainder when (-60)/27*-12 - (-35)/15 is divided by 3.
2
Let y(s) = -s**3 + 35*s**2 + 6*s - 191. Let g be y(35). Calculate the remainder when 106 is divided by (g/(-5) + -2)*-5.
19
Let u(k) be the first derivative of -4*k**2 - 20*k - 5. Let c be u(-8). Let q = 65 - c. Calculate the remainder when q is divided by 8.
5
What is the remainder when 1 + 12 + -3 - (-8 - -1) is divided by 5?
2
Let q = -39 + 55. Let y(g) = 4*g - 18*g + 2*g - 2 - 3. What is the remainder when y(-3) is divided by q?
15
Suppose 254*h = 281*h - 21249. What is the remainder when h is divided by 36?
31
Let t = 83 + -80. Suppose -39 = -4*h - t*v, 3*h - 45 = 5*v + 6. What is the remainder when 71 is divided by h?
11
Suppose -24*v + 31*v - 514 - 536 = 0. What is the remainder when v is divided by 60?
30
Suppose 2 - 1 = -n, -3*n + 812 = -5*v. Let o = v - -167. Let k(m) = 14*m + 1. What is the remainder when k(1) is divided by o?
3
Suppose 48 = 10*r - 282. Let d(b) = -b**2 - 10*b + 27. Calculate the remainder when d(-8) is divided by r.
10
Let p = 2 - 0. Suppose -p*b - x = -61, x - 9 = -2*x. Calculate the remainder when b is divided by (-150)/(-8) - (42/24)/(-7) - 3.
13
Let r(u) = 5*u**2 + 149*u + 259. Calculate the remainder when 11730 is divided by r(-28).
5
Let k(b) = -2*b**2 - 30*b + 7. Let n be k(-15). Let r(g) = g**2 + 3*g + 6. Calculate the remainder when r(n) is divided by (-1)/2 + (-27)/(-2).
11
Suppose 30*h + k = 32*h - 53 - 37, -3*k = 0. Calculate the remainder when 356 is divided by h.
41
Let d be (42 - 146)*15/4. Let l = 481 + d. What is the remainder when l is divided by 47?
44
Suppose -96 = s - 7*s. Suppose 5*b + 770 = 15*b. What is the remainder when b is divided by s?
13
Let n = -6778 + 8251. Calculate the remainder when 4426 is divided by n.
7
Let s(y) = 2*y**3 - 13*y**2 + 13*y + 2. Let k be 7/(-21) + (-19)/(-3). What is the remainder when 166 is divided by s(k)?
34
Let l(b) = b**3 - 3*b**2 - 41*b + 12. Let s be l(8). Calculate the remainder when 10/s - 4/(40/(-1675)) is divided by 43.
41
Let i(z) = z**3 - 19*z**2 + 82*z - 37. What is the remainder when 647 is divided by i(14)?
123
Let j = -4 + -11. Let k = 23 - j. Suppose -9*l = 9*l - 4*v - 120, 10 = 5*l - 5*v. What is the remainder when k is divided by l?
6
Let v be (24/(-30))/((-1)/5). Suppose 3*y + v = 4. Suppose -7*l + 8 - 1 = y. Calculate the remainder when 3 is divided by l.
0
Suppose -49390 - 8255 = -152*n - 12501. What is the remainder when 6532 is divided by n?
295
Suppose 1028 = p + 3*p - 4*j, -751 = -3*p - 2*j. Suppose 4*z = 0, 2*o + 792 = 5*o - z. Let h = o - 247. Calculate the remainder when p is divided by h.
15
What is the remainder when 567 is divided by 483*10/175*5?
15
Let t be (36*(-20)/(-3))/(-1). Let m be ((-21)/42)/(2/t*-1). Let v = m + 65. What is the remainder when 43 is divided by v?
3
Suppose -5*w + 4*w = -73. Calculate the remainder when (6 + 4)/((-200)/(-8720)) is divided by w.
71
Let t(m) = 10*m - 253. Let d(g) = -5*g + 127. Let r(y) = -11*d(y) - 6*t(y). Calculate the remainder when r(0) is divided by 16.
9
Suppose -738 = -w + i - 2*i, -2*i - 1484 = -2*w. Calculate the remainder when w is divided by 7.
5
Let y(w) = -373*w - 873. What is the remainder when y(-4) is divided by 607?
12
Suppose -13*g - 3*g = 176. Suppose 1003 = 4*d + 3*b, 0 = -0*d - 3*d + 5*b + 716. What is the remainder when d is divided by 25 + 1 - (g - (-48)/4)?
22
Let a(r) = -8*r**2 - 18*r - 60. Let p be a(-4). Let q(f) = f + 3. Let v be q(-7). Let i = v - p. What is the remainder when i is divided 