ded by 17?
15
Suppose 117*c - 312 = 109*c. Let r(h) = 41*h - 14. What is the remainder when r(5) is divided by c?
35
Let u(i) = -i**3 - 6*i**2 - 5*i + 2. Let x be u(-5). Suppose -x*c = 6*b - b - 389, -3*b = 5*c - 963. Calculate the remainder when c is divided by 54.
30
Suppose -3*i = 5*z - 94, -4*z - 4 + 26 = i. Let b(g) = -g**2 - 10*g + 7. Suppose -7 = s + 3. What is the remainder when i is divided by b(s)?
3
Calculate the remainder when ((-12)/9)/(((-36)/480)/((-72)/(-10))) is divided by 6.
2
Let t(j) = 66*j - 12. Let b be t(1). Calculate the remainder when 3/(-9) - (-234)/b is divided by -6*1/2*-1.
1
Suppose 876*t = -2*s + 879*t + 83, 4*t = 2*s - 78. Calculate the remainder when 96 is divided by s.
47
Let g = 118 - 115. Suppose -4*j + g*a - 5*a + 128 = 0, -18 = -j + 3*a. What is the remainder when 79 is divided by j?
19
Let a(l) = 7*l**2 - 13*l + 3. Let z be a(7). Let o = z + -231. Calculate the remainder when 37 is divided by o.
13
Suppose 848*t = 844*t + 5*w + 746, 2*t - 2*w - 374 = 0. What is the remainder when 725 is divided by t?
158
Let q be 15/(4/3 - 1). Let l = q - 31. What is the remainder when -302*(1/(-12) - 0) - 41/246 is divided by l?
11
Suppose -2381*p + 2379*p = -22. What is the remainder when 359 is divided by p?
7
Let x(q) = -q**3 - 12*q**2 + 15*q + 26. Let w be x(-13). Suppose w = -4*g + 18 - 74. Calculate the remainder when (g/8)/7 + (-181)/(-4) is divided by 16.
13
Suppose 0 = 2*s + 3*s - 275. Let m(h) = -h**2 + 15*h - 20. Let a be m(13). Suppose 0*z + 84 = a*z. Calculate the remainder when s is divided by z.
13
Suppose 1814 - 44 = 3*g - 3*p, 0 = 10*g + 3*p - 5848. Calculate the remainder when g is divided by 113.
21
Let a = 8183 + -8144. Suppose 1548 = 5*o - o. Calculate the remainder when o is divided by a.
36
Suppose -182*k + 1576 + 20416 = -17320. Calculate the remainder when 454 is divided by k.
22
Let d = -90 - -93. Suppose 6*z + d*x - 53 = 4*z, -z = 2*x - 26. Calculate the remainder when 78 is divided by z.
22
Let u(c) = 9*c**3 - 8*c**2 + 6*c - 6. Let y(o) = o**3 + 2*o**2 - o + 1. Let g(x) = -u(x) - 5*y(x). Calculate the remainder when 236 is divided by g(-1).
12
Let l(v) = 14*v**2 - 23*v + 61. What is the remainder when l(3) is divided by (-2)/7 + (-7880)/(-140)?
6
Let h = -67565 + 68550. Calculate the remainder when h is divided by (9/(-3))/3 + 39.
35
Let y(u) be the first derivative of -3*u**2 - 27*u - 15. Let h be y(-7). What is the remainder when (-227)/(-5) + (9/h - 0) is divided by 17?
12
Suppose -138*t - 8201 = -197*t. What is the remainder when 1947 is divided by t?
1
Let u(q) = 2*q**2 - 13*q + 84. What is the remainder when u(9) is divided by 10?
9
Suppose -4*j + 6 + 10 = 0. Suppose 3*s + j*r = -s + 20, -5*s + 3*r + 9 = 0. Calculate the remainder when 7 is divided by s.
1
Let t = -1256 - -4733. What is the remainder when t is divided by 120?
117
Let j = 144450 - 144446. What is the remainder when 8 - ((-2 - -3) + 0) is divided by j?
3
Suppose 0 = 5*q - 3*l + 17 - 45, 2*l + 24 = 4*q. What is the remainder when 750 is divided by q?
6
Suppose -m + 317 = 4*s, 3*m - 858*s + 854*s = 855. What is the remainder when m is divided by 62?
45
Let m(d) = 2*d**2 + 20*d - 5. Let h be m(-10). Calculate the remainder when 134 is divided by (-573)/(-24) + h/(-40).
14
Let a(y) = -5*y. Let j be a(-2). Suppose 15*s - 20*s = -j. Let v(n) = n**3 - 4*n**2 - 4*n - 3. What is the remainder when s is divided by v(5)?
0
Let i(v) = v**3 + 12*v**2 + 7*v - 19. Let q be i(-11). Let z(f) = q - f + 0*f - 10. Calculate the remainder when z(11) is divided by 3.
1
Let m = -308 + 311. Suppose 7*t - 247 = -m*p + 6*t, 412 = 5*p + 2*t. Let b = 15 - -6. What is the remainder when p is divided by b?
19
Let s(m) = 2*m**3 + 57*m**2 + 28*m + 24. Suppose -88*p + 70*p - 504 = 0. What is the remainder when s(p) is divided by 10?
4
Let g(z) = -z**3 - 2*z**2 - 2*z + 89. Let c be g(0). Suppose -b = -5*w + w + 66, 0 = 5*w + 2*b - c. What is the remainder when w is divided by 12?
5
Let y be 760/30 + 8/(-6). Let i(u) = u**3 - 23*u**2 - 28*u + 7. Let r be i(y). Let v = 104 + r. Calculate the remainder when 42 is divided by v.
12
Let p(h) = -6*h + 42. Let c be p(7). Suppose -41*x + 36*x + 220 = c. Calculate the remainder when 87 is divided by x.
43
Let i(r) = 21*r**2 - 21*r - 1. Let f(x) = -43*x**2 + 41*x + 3. Let b(a) = 6*f(a) + 13*i(a). Calculate the remainder when b(4) is divided by 69.
68
Suppose -41*u = -57*u + 64. Calculate the remainder when 108 is divided by u.
0
What is the remainder when 303 + 2 + -5 + 17 + -8 is divided by 35?
29
Let i = 5709 + -4661. Calculate the remainder when i is divided by 14.
12
Let k(c) = c**3 + 10*c**2 + 5*c - 8. Let g(u) = 2*u**2 - 28*u - 36. Let j be g(15). What is the remainder when 527 is divided by k(j)?
103
Let t = 15798 + -15759. What is the remainder when 168 is divided by t?
12
Suppose 5909 = 5*n + 3*f, -17*n = -12*n + 5*f - 5905. What is the remainder when n is divided by 9?
4
Let u be ((-2)/(-4))/(9/306). Let m be u/34 + (-526)/(-4). Suppose -i = 5*p - 42, -2*p + m = 3*i - 7. What is the remainder when i is divided by 12?
11
Suppose u = -4*z + 2969, -3*z + 5*u - u + 2222 = 0. Calculate the remainder when z is divided by 12.
10
Let x(q) = 9*q**2 - 22*q - 665. Calculate the remainder when x(-18) is divided by 295.
287
Suppose 0 = -c + 3*f - 13 - 22, -3*c = -3*f + 75. Calculate the remainder when ((-3)/(-1) - 83)*25/c is divided by 34.
32
What is the remainder when ((-381)/30 - 23/(-46))/((-2)/10) is divided by 30?
1
Let w(u) = 64*u + 111. Let r(c) = 13*c + 22. Let f(s) = 11*r(s) - 2*w(s). Let d be f(-3). Let n = 44 - d. Calculate the remainder when n is divided by 14.
13
Calculate the remainder when (12/16)/(162/96) - (-6900)/27 is divided by 45.
31
Suppose -4*d + 168 = 3*u, 0 = -4*d - 8 - 4. Suppose 79*v - 817 = u*v. Calculate the remainder when v is divided by 11.
10
Let p = -20 + 32. Suppose 5*u + 657 = 232. Let m = 131 + u. Calculate the remainder when m is divided by p.
10
Suppose 2*a - 104 = -2*t, -2*a - 305*t = -300*t - 113. What is the remainder when 290 is divided by a?
45
Suppose 3 = -4*d + 4*y - 1, 0 = -2*d + 3*y - 5. Suppose v - 72 = 2*c - 7, -2*c = -d*v + 132. Calculate the remainder when v is divided by 4/(-6) + 1144/33.
33
Let v(g) = 6*g**3 + 81*g**2 + 31*g + 32. Calculate the remainder when 380 is divided by v(-13).
108
Suppose 2543 + 625 = 18*q. Suppose 25*m - 3*m = q. Calculate the remainder when 18 is divided by m.
2
Let h(q) be the first derivative of 2*q**3/3 - 12*q - 2. What is the remainder when 149 is divided by h(5)?
35
Let i = 197 - 143. Suppose 3*x + t - 15 = 27, -3*t = -3*x + i. Calculate the remainder when 87 is divided by x.
12
Suppose -3*n - 5*c = -29342, -c + 21417 - 1851 = 2*n. What is the remainder when n is divided by 14?
12
Let m = 70 - 49. Suppose 3*z = 5*z - q - 23, -2*z = q - m. Suppose -120 = -l - 3*r - 48, 4*r = l - 51. What is the remainder when l is divided by z?
8
Calculate the remainder when ((-109123)/262)/(1/(-2)) is divided by 97.
57
Let u = -140 + 233. Suppose 25*q = -2*a + 24*q + 15, -3*q - 3 = 0. What is the remainder when u is divided by a?
5
Suppose -6*r - 387 = -7*r. Let u = 413 - r. Calculate the remainder when 335 is divided by u.
23
Suppose -267 - 301 = 8*u. Let w = 66 + u. Let i(p) = p**3 + 8*p**2 + 7*p + 5. What is the remainder when i(w) is divided by 8?
5
Let b(n) = 35*n - 249. Let f be b(7). Let p = 77 + -132. Calculate the remainder when 68 is divided by p/(-4) + (-1)/f.
12
Let q(p) = -p**3 - 5*p**2 - 9*p - 9. Let y be q(-2). What is the remainder when (72/(-10))/(1/(-5)) is divided by 27*(-2)/y - 4?
8
Let h = -131 + 72. Let b = h + 137. What is the remainder when b is divided by 22?
12
Let c(f) = f**3 - 61*f**2 + 108*f + 629. Let v be (2/3)/((-3)/9). Let p(a) = 6*a**2 + a + 1. What is the remainder when c(59) is divided by p(v)?
16
Let d = -208 + 215. What is the remainder when 153 is divided by 14/d*-1 - -25?
15
Let p = 22396 - 22010. Calculate the remainder when p is divided by 136.
114
Let k = -20618 - -20624. Calculate the remainder when 242 is divided by k.
2
Let z(k) = -145*k - 149. Let i be z(-5). Suppose 2*b - 86 = 32. What is the remainder when b is divided by 3/(i/186 - 3)?
28
Suppose -4*z - x - 2*x - 1273 = 0, x - 1 = 0. Let l = z + 573