mainder when s(-10) is divided by z(-23).
20
Let a(p) be the third derivative of 0 + 0*p + 2/15*p**5 - 2/3*p**3 + 12*p**2 + 1/8*p**4. What is the remainder when a(3) is divided by 22?
11
Let v be (8 + -10)/((-4)/1898). Suppose k + v = 5*d, 2*k - 5*k = -3. Suppose -d = -2*a - 3*a. What is the remainder when 73 is divided by a?
35
Let p = -13 - -15. Suppose p*o - 12*o = -310. Let l(m) = -3*m**3 - 4*m**2 + m - 2. What is the remainder when l(-4) is divided by o?
29
Let h be 1035/(-6) - 1/2. Suppose 18*g - 1379 = 13*g + 4*r, 4*g + 3*r = 1128. Let w = g + h. What is the remainder when w is divided by 27?
25
Suppose 10306 = 4*r - 3*l, -4424*r = -4427*r + 5*l + 7724. Calculate the remainder when r is divided by 1287.
4
Let d(a) = 38*a + 463. What is the remainder when d(5) is divided by 7?
2
What is the remainder when 4709 is divided by (16/(-6))/(4/(-6)) + 156 + -36?
121
Suppose 0 = 4*h - 3*q - 269 - 186, -5*h + 555 = -q. Calculate the remainder when h is divided by 25.
10
Let d be 43 + (-5)/(1/1). Suppose -5*j = -d - 47. What is the remainder when 100 is divided by j?
15
What is the remainder when 33 is divided by -2 - 1/((-51)/108) - (-3900)/663?
3
Suppose -157*n + 162*n + 35 = 0. Let c(r) = r**3 + 19*r**2 + 10*r - 26. Calculate the remainder when c(n) is divided by 17.
16
Let g(o) = 97*o - 148. Calculate the remainder when g(6) is divided by 17.
9
Calculate the remainder when 590 is divided by 59 + (-308)/(-44) + 2/(2/3).
38
What is the remainder when 3470/12 + 2793/(-2394) is divided by 46?
12
Let n be (10/(-6))/(18/(-648)). Suppose -59*r - 16 = -n*r. Let u(t) = -t**2 + 24*t - 33. Calculate the remainder when u(r) is divided by 33.
29
Let p(h) = h**3 - h**2 + h - 2. Let y = 41 - 32. Suppose -y = i - 14. Calculate the remainder when p(3) is divided by i.
4
Suppose 53*d - 410 = -29*d. Let a(n) = -9*n - 2. Let m be a(4). Let w = -20 - m. Calculate the remainder when w is divided by d.
3
Suppose -4*u = 3*h - 0*h - 19, 0 = -4*h - 3*u + 30. Let g(f) = -f**2 + 14*f - 13. Let l = 22958 + -22799. What is the remainder when l is divided by g(h)?
31
Suppose 3*b = 4*b + 4, -38 = -5*u - 3*b. Suppose 0*i = -u*i + 40. Suppose -3*r + l = -439, l + 4*l + 578 = i*r. What is the remainder when r is divided by 30?
27
Let w(v) = -v**3 + 11*v**2 + 15*v - 9. Let d = -110 + 239. Calculate the remainder when d is divided by w(12).
21
Calculate the remainder when ((-3159)/65)/(-27) + (-26732)/(-10) is divided by 13.
10
Suppose 0 = -t - 4, -3*p - 2 - 4 = 3*t. Suppose -p*l + 0*l = -6. What is the remainder when (-152)/(-6) - 1/l*1 is divided by 13?
12
Let y be (7 + 0 + -2)*15/(-25). Calculate the remainder when y/4 - 6135/(-20) is divided by 44.
42
Suppose 4*l + 32 + 56 = -2*u, l = 3*u - 36. Let q = l + 31. Suppose 3*c - 19 = -q. Calculate the remainder when 12 is divided by c.
0
Suppose -38*c - 34*c + 67*c + 695 = 0. Calculate the remainder when 293 is divided by c.
15
Let v = -96 - -215. Let u = 48049 - 48043. Calculate the remainder when v is divided by u.
5
Let w(j) = -51*j**2 - 713*j - 11. Calculate the remainder when w(-12) is divided by 6.
1
Let k(z) be the third derivative of -z**5/60 + z**4/8 + 5*z**3/6 + 12*z**2. Let l be k(4). Suppose x - 42 = l. Calculate the remainder when x is divided by 16.
11
Let x = 146 - 139. Suppose -2*o - 5*i = 10 - 0, 4*o - 16 = -i. Let j = 47 + o. What is the remainder when j is divided by x?
3
Let d be (-9240)/(-18) + 2/(-6). Let s = d + -134. Calculate the remainder when s is divided by 19.
18
Let t(x) = 28*x**2 + 8*x + 3. Let a be t(2). Suppose 0 = 3*w + 3*s - 618, 2*s = 4*w - a - 663. Calculate the remainder when w is divided by 52.
45
Suppose 4*i + 266 = 282. Suppose 4*o - 1612 = i*b - 2*b, 2*o + 4*b = 826. Calculate the remainder when o is divided by 51.
48
Suppose -65*r + 52*r + 1183 = 0. Suppose 0 = 3*k - 4 - 20. Calculate the remainder when r is divided by k.
3
Suppose 92*x + 42 = 94*x. Let g = -63 + 177. Suppose 8*t = 5*t + g. Calculate the remainder when t is divided by x.
17
Suppose -h = 3*f - 35 + 19, 5*h + f = 52. Calculate the remainder when 78 is divided by h.
8
Suppose 0 = 4*f - 7 - 117. Let p(n) = n**3 - 4*n**3 + 29 - 8*n**2 - 11*n + 6*n**3 - 2*n**3. Calculate the remainder when f is divided by p(9).
9
Let y = 4963 - 4514. Calculate the remainder when y is divided by 45.
44
Let a = 11435 - 11329. What is the remainder when 1181 is divided by a?
15
Suppose -68*s - 1824 = -76*s. Suppose -13*o - s = -3517. What is the remainder when o is divided by 90?
73
Suppose 3*d - 133 = n, 8*n = d + 3*n - 35. Calculate the remainder when 1884 is divided by d.
39
Suppose 32*g - 29 = -t + 30*g, -5*g = -20. What is the remainder when 199 is divided by t?
10
Let r(x) = 1571*x**2 - 198*x - 198. What is the remainder when r(-1) is divided by 143?
141
Let y = 193 - 177. Let b(w) = -w**3 + 7*w**2 + 39*w - 240. Calculate the remainder when y is divided by b(5).
1
Let w(m) = 5*m**2 - 48*m + 176. What is the remainder when w(20) is divided by 58?
56
Suppose -21*x + 785 = 470. Calculate the remainder when 1467 is divided by x.
12
Let o = -54768 - -54782. Suppose -4*g + 481 = -1083. What is the remainder when g is divided by o?
13
Let d = 563 - 560. Suppose n - 217 - 221 = -4*g, 5*n + d*g = 2258. Calculate the remainder when n is divided by 13.
12
Suppose -3*c - 122 = -5*j - 424, 5*c + 5*j - 490 = 0. What is the remainder when 882 is divided by c?
90
Suppose 6*l + 26 = 260. Suppose l*x - 42*x + 216 = 0. Calculate the remainder when x is divided by 16.
8
Suppose 24*q - 11*q - 69 = 178. What is the remainder when 4975 is divided by q?
16
Suppose -5*v - 3*b = 2*b + 95, -4 = -4*b. Let p be -9*15/20*v. Let s = p - 22. What is the remainder when s is divided by 30?
23
Let q = 4881 - 4866. Suppose -4*j + 288 = 4*z, 3*j - 5*j - 72 = -z. What is the remainder when z is divided by q?
12
Let g(m) = -3*m**3 + m**2 + 4*m - 2. Let n be g(2). Let b = n + -4. Let x = 36 + b. What is the remainder when 33 is divided by x?
15
Suppose 50*t - 40*t = 90. Let a be (3 + -2)*-70*1. Calculate the remainder when a/t - -8 - (-896)/18 is divided by 19.
12
Suppose 0 = f + 23 - 169. Suppose 14 - f = -4*k. Suppose 0 = -12*t + 11*t + 97. What is the remainder when t is divided by k?
31
Let m be 10 - 4 - (1 + -3). Suppose 6*i + 6 = m*i, -2*y = 3*i - 33. Suppose 2*u + 0*u - y = 0. What is the remainder when 11 is divided by u?
5
Suppose 6*h - 3*h = 36. What is the remainder when (-68)/85 + (-354)/(-5) is divided by h?
10
What is the remainder when 459 is divided by 149/596 - 467/(-4)?
108
Suppose -3*m = 3*n - 48, 3*m - 2*n - 73 + 50 = 0. Let g(a) = a**2 + 9*a + 11. Calculate the remainder when g(-10) is divided by m.
10
Suppose j - 85 - 1 = -4*x, 2*j = x - 26. Suppose 5*c = -4*t + 62, 4*t - 2*c + c = 50. Calculate the remainder when x is divided by t.
9
Let j(v) = -2*v - 29. Let r be j(36). Let k = r + 144. What is the remainder when 125 is divided by k?
39
Suppose 1183 - 171 = 16*m - 300. Calculate the remainder when 147 is divided by m.
65
Let j(q) = -q**3 + 9*q**2 + 11*q - 8. Let r be j(10). Suppose 0*t = -r*t + 282. Let m = t - 93. What is the remainder when m is divided by 10?
8
Suppose 0 = -70*r + 78*r - 368. Let c(d) = d + 5. What is the remainder when r is divided by c(7)?
10
Let w(m) = m - 7. Suppose -5*d - i + 24 = 0, -4*i = i - 20. Suppose -22*q + 1044 = -d*q. What is the remainder when q is divided by w(17)?
8
Suppose 5*h - 279 - 376 = 0. Let r(z) = z**3 + 8*z**2 + 5*z + 8. Let y be ((-20)/(-35))/(2/(-7)) + -5. What is the remainder when h is divided by r(y)?
21
Suppose 3*m + m - 72 = 0. Let a = m - 13. Suppose 0 = a*i - q - 90, 0 = -5*i - 2*q + q + 90. What is the remainder when 32 is divided by i?
14
Suppose -q = -6*q - q. Suppose q = 16*d - 3*d - 572. Calculate the remainder when 130 is divided by d.
42
Let s be (-12)/21 + 10*(-30)/(-84). Suppose 3*f = 4*b - 445, -7*b + 6*b + 130 = s*f. Calculate the remainder when 569 is divided by b.
109
Let l be 308/21*27 - -5. Let b = 556 - l. Calculate the remainder when b is divided by 32.
27
Suppose -69 = -16*c - 5. Let f = c - -2. What is the remainder when 8 is divided by f?
2
Suppose 294*p - 298*p = 1232. What is the remainder when 25 is divided by 18/(-2)*p/231?
1
Let q = -68 - -75. Let d(s) = 10*s**2 + 9*s + 4. W