15.
13
Let z(k) = 3*k**3 + 13*k**2 + 8*k + 7. Let j be z(-5). Calculate the remainder when 247 is divided by -1 + 4/(-2) - (j + 17).
58
Let x(n) = n**3 + 7*n**2 - 3*n. Let z = 2864 - 2806. Calculate the remainder when z is divided by x(-7).
16
Suppose 5*x + 20 = 0, 0 = -d + 3*x + 677 + 121. Suppose -172*h = -174*h + d. Calculate the remainder when h is divided by 11.
8
Suppose 3*d - 22 = -4*s + 433, 4*d - 4*s - 672 = 0. What is the remainder when 1118 is divided by d?
152
Let q = -3859 + 4842. What is the remainder when q is divided by 123?
122
Let q be 7554/78 - (-4)/26. Suppose -6*p + 131 = -q. Suppose -p = -6*r + 4*r. What is the remainder when r is divided by 4?
3
Let m = -12884 + 13095. What is the remainder when 5694 is divided by m?
208
Suppose 7*g - 2*g - 218 = 4*p, 3*g + 4*p = 118. What is the remainder when 135 is divided by g?
9
Let c(d) = -d**3 + 14*d**2 + 14*d - 55. Let w be c(16). Let x = w - -432. What is the remainder when x is divided by 20?
9
Let z = -63529 + 63535. Suppose 5*j - 103 = 2*w + 52, -w - 50 = 3*j. Let l = w - -94. Calculate the remainder when l is divided by z.
5
Suppose 0 = 5*i - m + 143, m = 3*i + 18 + 67. Let h(g) = g + 34. Calculate the remainder when 16 is divided by h(i).
1
Suppose -12*h - 1000 = -22*h. Suppose 0 = 6*u - h - 110. What is the remainder when u is divided by 15?
5
Let q be ((-4)/(-2))/((-8)/(-16)). Suppose -q*i = 4*i - 120. Calculate the remainder when i is divided by 9.
6
Let i = 74 - 71. Suppose -a - 42 = -i*a + 4*n, 17 = 2*a + n. What is the remainder when a is divided by 6?
5
Suppose -29 = -8*b - 109. What is the remainder when (-1 + 2)*(7 + 0) is divided by (-16)/40 + -2*7/b?
0
Let h = -449 + 1252. Let g = h - 489. What is the remainder when g is divided by 53?
49
Let o(y) = -y**2 - 43*y - 226. What is the remainder when o(-9) is divided by 24?
8
Suppose 0*l + 22 = 4*g + 5*l, 4*l = 5*g - 7. Suppose k - 3*k = 5*s - 98, 0 = -s + g*k + 6. Let h = 28 - s. What is the remainder when 13 is divided by h?
3
Suppose -37 + 41 = d. Suppose d*n - 2*i = 8*n - 60, -3*n = 5*i - 52. What is the remainder when 83 is divided by n?
13
Let c = -19150 + 29140. Calculate the remainder when c is divided by 38.
34
Let p = -207 + 212. Suppose 5*i - 417 = -4*c + 6*i, -i = 5*c - 519. Calculate the remainder when c is divided by p.
4
Let i be ((-168)/9 + 2)*(-10 + -8). Suppose 7*q - 10*q + i = 0. Calculate the remainder when q is divided by 34.
32
Let b(l) = 4 - 7*l + 37 + 6*l + 5*l. Calculate the remainder when 261 is divided by b(-2).
30
Let b(c) = 111*c**2 + 160*c + 481. Calculate the remainder when b(-3) is divided by 11.
10
Let y(o) = o**2 - 55*o + 334. What is the remainder when y(50) is divided by 8?
4
Suppose -12*i - t + 6008 = 0, i - 27*t - 481 = -32*t. What is the remainder when i is divided by 31?
5
Suppose 2*r + 4*w = 156, -3*r + 6*r + 4*w = 236. Suppose -4*p + r = 4*n, -n - 48 = 2*p - 5*p. What is the remainder when 135 is divided by p?
16
Let x be 69 + (2 + -6 - -1). Let m(f) = -10*f**2 + 4*f**3 - x*f + f**3 - 4*f**3 + 12 + 73*f. Calculate the remainder when m(10) is divided by 21.
19
Let q = 2429 - 2202. Calculate the remainder when q is divided by 82.
63
Suppose -2*p + 4*u = -2288, 30*u + 1156 = p + 25*u. Calculate the remainder when p is divided by 369.
29
Let w = -66 + 86. Suppose -b - 1216 = -w*b. Calculate the remainder when b is divided by 6.
4
Suppose -2*m + 4 = -4*u, 0 = 10*u - 13*u - 4*m + 30. What is the remainder when u is divided by 2?
0
Suppose 0 = -18*w - 1147 + 31. Let h = -53 - w. What is the remainder when 24 is divided by h?
6
Let m be 3/((-6)/56)*3/(-12). Suppose -43 = -o - 3*r, 3*o = 3*r + 196 - m. Calculate the remainder when 172 is divided by o.
56
Let c(z) = z - 85. Let l be c(0). Let y be (68/l)/((-4)/10). Suppose -5*a - 5*p + 110 = 0, y - 4 = 2*p. What is the remainder when a is divided by 6?
5
Let u be 345/27 + (-18)/(-81). Let b = u + 25. Calculate the remainder when 116 is divided by b.
2
Let s(c) = c**3 + 8*c**2 - 9*c + 7. Let j be s(-9). Let l(o) = 530*o - 532*o - 3 - 6 + o**2. Calculate the remainder when l(j) is divided by 6.
2
Suppose -4*d - 3 = -11, 0 = 3*o - 5*d - 74. Calculate the remainder when (-55)/((-4)/(12/3)) is divided by 385/o - (-2)/8.
13
Let p(g) = -g**3 - 5*g**2 - g - 3. Let l(y) = 10*y**3 - y**2 + 3*y - 3. Let x be l(-3). Let u = -98 - x. Calculate the remainder when u is divided by p(-6).
37
Let d(g) = 5*g**3 - 10*g + 16. Let y be d(5). Let m = y + -544. What is the remainder when 183 is divided by m?
42
Let d = -3563 - -3588. What is the remainder when 2092 is divided by d?
17
Let r(g) = g**3 - 6*g**2 - 6*g - 138. Calculate the remainder when 1479 is divided by r(9).
0
Suppose -8*x + 222 = -2. Calculate the remainder when 118 is divided by x.
6
Suppose 4*o = -4*h + o + 133, -3*o = h - 40. Suppose h*c - 24*c = 777. What is the remainder when 214 is divided by c?
103
Let p(y) = 2*y**2 + 7*y - 614. Calculate the remainder when 669 is divided by p(16).
9
Let l = -22 + 17. Let v(i) = i**3 + 5*i**2 - 4*i - 6. Let z be v(l). Suppose 2*f + 0*f + 4*r - z = 0, -r = -1. What is the remainder when 14 is divided by f?
4
Let j(n) = -n**2 + 2*n + 4. Let a be j(0). Suppose 0*u - 196 = -a*u. Suppose 18*p - u = 11*p. What is the remainder when p is divided by 4?
3
Let u be -6*((-35)/(-15))/(-7). Let t be u/(-7) - (-2)/14*982. Suppose -445 = -5*s + t. Calculate the remainder when s is divided by 12.
9
Suppose 3*h - 7*d = -21*d + 37, -4*d = 4. Suppose -f + 29 = a, -3*a = -3*f - 0*f - 81. Suppose 0*z - z = -a. What is the remainder when z is divided by h?
11
Suppose 45 = -18*w + 9*w. What is the remainder when 76 is divided by (1 - w)/(-3)*-13?
24
Let a(w) = -76*w**3 - w**2 - w + 1. What is the remainder when 378 is divided by a(-1)?
70
Let z = -45 - -71. Let n be (-32)/64 + 11/2. Suppose q = -t + 75, n*q + 0*q - 83 = -t. Calculate the remainder when t is divided by z.
21
Suppose 5*r = -4*g + 24, -6*g + 10*g = 3*r - 8. Calculate the remainder when (357/(-35) - -5)/(g/(-15)) is divided by (-3)/(-2)*(18 + 0).
24
Let b(u) be the second derivative of -u**4/2 + u**3/2 + 3*u**2/2 - 16*u. Let a be b(-3). Let h = a + 62. What is the remainder when 4 is divided by h?
0
Suppose -492*l + 185*l + 9824 = 0. Calculate the remainder when (86/4)/(2/12) is divided by l.
1
What is the remainder when 14/(-4)*1*-46 is divided by 715/(-1001) - 668*4/(-56)?
20
Let h = 235 - -2428. Calculate the remainder when h is divided by 36.
35
Let z(m) = -m - 3. Let v be z(-7). Let s(n) = 20*n**2 + 9*n - 7. Calculate the remainder when s(v) is divided by 16.
13
Suppose 18 = -t - 3*y + 4, -2*y = -5*t - 121. Let u = t - -166. Let p = u + -102. What is the remainder when p is divided by 6?
5
Let c = 108 + -66. Suppose 323*m - 6*m - 6474 = -181*m. Calculate the remainder when c is divided by m.
3
Let m(t) = 157*t - 1620. What is the remainder when m(90) is divided by 46?
44
Suppose 0 = -24*o + 26*o - 4*t - 28, -5*o + t + 52 = 0. Suppose -h + 19*j + o = 17*j, 0 = 2*h - 3*j - 18. Calculate the remainder when 16 is divided by h.
4
Suppose -116*a + 104*a + 2232 = 0. Calculate the remainder when a is divided by 18.
6
Suppose -m - 34 = 5*w - 111, -2*w = -10. Suppose 3*h = -3*z + 349 + 227, -35 = 5*z. What is the remainder when h is divided by m?
43
Let m(d) = -38*d - 190. Let o be m(-17). Suppose -y = -30 - o. Calculate the remainder when y is divided by 61.
59
Let c(t) = 20*t**3 - 15*t**2 - 21*t + 125. What is the remainder when c(6) is divided by 108?
107
Suppose f - 33 = -4*c, -3*c = f - 4*f + 84. Suppose -448*j = -446*j + 24. Calculate the remainder when ((-4)/j)/((-7)/(-1785)) is divided by f.
27
Let l(q) = -q**3 + 15*q**2 - 19*q + 24. Let t be l(14). Let n = t + 56. What is the remainder when 26 is divided by n?
6
Let y = 197 - 195. Suppose 0 = 2*t - 4*q - 42, -4*t + y*q + 96 = -0*q. Calculate the remainder when t is divided by 9.
7
Let x(p) = p**2 + 70*p + 278. Calculate the remainder when x(-74) is divided by 63.
7
Let h(t) = 4*t + 6. Let a be h(-5). Let f = -12 - a. Suppose 2*c = -f*q + 36, c - 26 = -0*q - 3*q. What is the remainder when 27 is divided by c?
13
Let t(f) = -24*f**3 + 5*f - 3. Let r be t(2). Let q = 77 + r. Let u = q + 126. What is the remainder when 43 is divided by u?
7
Let c(t) = 16*t*