Suppose 3*z - 8 = -2*b - 3, m*z + 1 = -2*b. What is the remainder when 74 is divided by b?
4
Suppose 0 = -q - 79 + 80, -5*q + 329 = w. Calculate the remainder when w is divided by 28.
16
Suppose -4*g + a = -7*g + 201, -2*g + 3*a = -145. What is the remainder when (-8)/6*(-1887)/g is divided by 33?
4
Let k(w) = -24*w + 5. Calculate the remainder when k(-6) is divided by -74*(-20)/50*(-120)/(-96).
1
Suppose 51*u - 1496 - 2635 = 0. What is the remainder when 397 is divided by u?
73
Let j = -160 + -31. Let k = 273 + j. Calculate the remainder when k is divided by 28.
26
Suppose 5*u - 2992 = -n + 1297, 3*n - 12867 = 2*u. What is the remainder when n is divided by 55?
54
Let s(n) be the second derivative of -11*n**3 + 69*n**2/2 - 2*n - 17. Calculate the remainder when s(-6) is divided by 52.
49
Let f(x) = 36 + x**3 + 0*x**3 + 155*x - 154*x. Calculate the remainder when 177 is divided by f(0).
33
Let m = 59 - 8. What is the remainder when 1/(-25 + (-64688)/(-2587)) is divided by m?
46
Suppose -5*t - 2*b = -121, 4*b - 127 = -5*t - 0*t. Let s be -3 + 20 + 8/8. Let n(r) = -r**2 + 18*r + 12. What is the remainder when t is divided by n(s)?
11
Suppose -2*k = -3*o - 20 - 2943, o = -2*k + 2983. Calculate the remainder when k is divided by 18.
13
Let p be 50/(-3) - 2/(-3). Let f(a) = -a**3 - 16*a + 62 - 48 - 1925*a**2 + 1908*a**2. Calculate the remainder when 67 is divided by f(p).
11
Let y(z) be the first derivative of z**4/4 + 2*z**3/3 - 11*z**2 + 27*z - 29. Calculate the remainder when 1108 is divided by y(-6).
13
Suppose 3*c = 5*n - 2*c + 10, 3*c = 6. Suppose 30*d - 38*d + 1200 = n. What is the remainder when d is divided by 31?
26
Let l(w) = -2*w**3 + 18*w**2 - 27*w + 8. Calculate the remainder when l(-6) is divided by 20.
10
What is the remainder when 3458 is divided by 9724/56 - 3/6 - (-3)/(-21)?
171
Suppose -5*y - 30 = 0, -3*y + 32 = -n + 179. Calculate the remainder when 20510 is divided by n.
128
Calculate the remainder when 231 is divided by ((-1)/6)/((-92)/8280).
6
Let i = -5056 - -5154. Calculate the remainder when 199 is divided by i.
3
Let f = 5451 + -1682. Calculate the remainder when f is divided by 41.
38
Let o(k) = -k - 6. Let z be o(3). Let s be (2 + 156/z)*3. Let q = s + 116. Calculate the remainder when q is divided by 12.
10
Let t(i) = 2*i + 23. Let c be t(-14). Let j be ((-2)/(-5))/((-1)/c). Suppose 7*b = 4*b + j*w + 56, -2*w = -4. What is the remainder when 78 is divided by b?
18
Suppose 31 = d - 3*z + 3, 2*d - 4*z = 60. Suppose -9*s + d = -92. What is the remainder when 69 is divided by s?
13
Let y = -452 - -1388. Suppose 5*z + 4*h - 485 - y = 0, 857 = 3*z - 2*h. What is the remainder when z is divided by 8?
5
Let t be (6/15)/((-6)/(-60)) - -3. Suppose 0 = -5*i - 5*a + 535, 17 = -5*a + t. What is the remainder when i is divided by 14?
11
Let g = -21 - -23. Suppose -g*r - 8 = -162. Suppose 3*f - f = 40. What is the remainder when r is divided by f?
17
Let l(z) = 4*z + 4*z - 35 - 149 - 31*z. Calculate the remainder when 81 is divided by l(-9).
12
Let g(x) = -x**2 - 1677*x - 8334. What is the remainder when 1844 is divided by g(-5)?
24
Calculate the remainder when ((-8 + -12 - -9) + 4)/((-4)/732) is divided by 23.
16
Let a(b) = -b**2 + 64*b - 222. Calculate the remainder when 1313 is divided by a(60).
17
Let d(y) = 2*y**3 + 21*y**2 + 11*y + 514. What is the remainder when 540 is divided by d(-11)?
268
Let a = -35299 - -35317. What is the remainder when 1 + (-4)/(4/(-81)) is divided by a?
10
Let r(a) = -88*a**3 + 13*a**2 + 67*a + 209. Calculate the remainder when r(-4) is divided by 7.
6
Suppose -123 = -q - 3*n, q + 4*n = 5*q - 444. Suppose -8*x - 594 + q = 0. Calculate the remainder when (x/(-25))/(1/5) is divided by 5.
2
Let u(l) = -224*l - 18. Let w(i) = -223*i - 16. Let r(z) = 2*u(z) - 3*w(z). Let o be r(7). Calculate the remainder when o*(-1)/(-9) + (-8)/36 is divided by 25.
23
Suppose -26*o + 86*o = 19020. Calculate the remainder when o is divided by 47.
35
Let z(o) = 64*o**2 + 241*o + 76. What is the remainder when z(-6) is divided by 101?
25
Suppose 3*d - 4*w - 72 = 4, -d - 2*w = -12. Let h = -183 + 300. What is the remainder when h is divided by d?
17
Suppose 17 = s + 5*y, 16*y + 127 = 5*s + 20*y. What is the remainder when 4904 is divided by s?
17
Suppose 4*t + 2*k - 220 = 0, 3*t + 6*k - 2*k = 155. What is the remainder when 471 is divided by t?
15
Calculate the remainder when ((-968)/44)/(3/(498/(-4))) is divided by 131.
127
Let g(d) = -d + 37. What is the remainder when 17586 is divided by g(-2)?
36
Let o be (0*(-1)/(-2))/(-1). Suppose 3*y - 2 - 4 = o. Suppose -y*w + 382 = 4*i, 3*i - 4*i + 3*w = -92. What is the remainder when i is divided by 32?
31
Suppose 3*f = -15, 5*y - 6*f + 595 = -3*f. Let k be (-256)/384*1269/(-6). Let s = y + k. Calculate the remainder when 35 is divided by s.
16
Suppose -423*h + 4793 = -12973. Calculate the remainder when 669 is divided by h.
39
Suppose 16 = -2*w, 0 = 824*q - 820*q + 5*w - 12932. What is the remainder when q is divided by 142?
119
Let k = -17 + 34. Let p = -10049 - -10078. What is the remainder when p is divided by k?
12
Suppose -n + 4*t = -4*n - 15, -5*t - 16 = n. Let j(h) = -28*h + 31. Calculate the remainder when j(n) is divided by 32.
27
Let f = -40 + 311. Calculate the remainder when f is divided by 91.
89
Suppose -u = 4*a - 354 - 202, 3*a + 2*u = 417. Let v = -133 + a. Calculate the remainder when 32 is divided by v.
2
Let h(q) be the second derivative of q**5/20 - 25*q**4/12 + 11*q**3/3 + 29*q**2 + 2*q + 31. What is the remainder when 37 is divided by h(24)?
7
Let w = -299 - -1041. What is the remainder when w is divided by 22?
16
What is the remainder when 1052 is divided by ((-1)/2)/((-50)/80)*15?
8
Suppose 3*o + 2*c = 353, 3*o = -3*c - 108 + 459. What is the remainder when o is divided by 103?
16
Suppose -14*i + 54*i = 19400. Calculate the remainder when i is divided by 6.
5
Suppose -2*h = -4*m - 38546, -2*h + 7578 = m - 30958. What is the remainder when h is divided by 94?
93
Let i(r) = 14*r + 132. Suppose w = -5*u + 441, 5*u = -5*w + 2006 + 159. What is the remainder when w is divided by i(-6)?
47
Suppose 1 - 1 = a. Let o(p) = p**2 + 49. Suppose -4*i = 18 - 118. Calculate the remainder when o(a) is divided by i.
24
Suppose -i - 3*j = -159, -2*i + 3*j + 561 = 2*i. Suppose -2*a - 3*a = -145. Calculate the remainder when i is divided by a.
28
Suppose -3*i + 2634 = x, 19*x - 4401 = -5*i + 21*x. Calculate the remainder when i is divided by 42.
39
Let h(y) = -2*y**3 - 4*y**2 - 18*y - 83. Calculate the remainder when 1587 is divided by h(-4).
50
Suppose 53*d - 48*d - 213 = -4*g, 0 = -d - 2 + 19. Let q(o) = 0*o**2 + 0 - 3*o**2 + 2*o**3 + 1 + o. Calculate the remainder when g is divided by q(2).
4
Let z(k) = k**3 + 14*k**2 - 66*k - 235. Let n = -44 - -76. Calculate the remainder when n is divided by z(-17).
12
Suppose -41*w + 288 = -47*w. Let c(b) = 2*b**3 + 97*b**2 + 48*b + 21. Calculate the remainder when 50 is divided by c(w).
8
Suppose 23264 = -48*p - 28*p + 108*p. What is the remainder when p is divided by 56?
55
Let v(j) = -2601*j - 7676. What is the remainder when 3169 is divided by v(-3)?
121
Suppose -27*n + 113 + 130 = 0. What is the remainder when 0 - 8*13/4*-3 is divided by n?
6
Suppose -4*z - 27 + 47 = 0. Suppose -34 = -3*s + z. Suppose 3*b = w - 45, -5*w + 3*b + 235 = -2*b. What is the remainder when w is divided by s?
9
Suppose -3*q + 72 = 72. Suppose -4*i - 2*i + 270 = q. What is the remainder when i is divided by 23?
22
Suppose -40149 = 128*k - 131*k. What is the remainder when k is divided by 138?
135
Let j(l) = -935*l - 1386. Calculate the remainder when j(-9) is divided by 185.
184
Let r(m) = -m**2 + 20*m - 35. Suppose 7*b - 9 = 61. What is the remainder when 259 is divided by r(b)?
64
Let k = -342 - -282. Suppose y - 104 = -3. Let v = k + y. Calculate the remainder when v is divided by 11.
8
Let t(o) = 61*o**2 + 300*o - 17. Calculate the remainder when 46*2/((-8)/(-14)) is divided by t(-5).
1
Let s(c) = -c + 15. Let y be s(10). Suppose y*u - 5 = 4*u. Calculate the remainder when 31 is divided by 2 - (-4)/u*(-15)/(-2).
7
Suppose -9*c + 2039 = 113. Calculate the remainder when c is divided by 50.
14
Suppose 5*z - 8*z = -3*y + 24, 3*z + 16 = y. Suppose 0 = -