ided by a?
10
Let z(s) be the third derivative of s**4/2 - s**3/2 + 131*s**2 + s. What is the remainder when 61 is divided by z(3)?
28
Suppose -2336 = -5*a - 4*d, 2*a = 55*d - 56*d + 932. What is the remainder when a is divided by 92?
4
Let n be (5 + 6/(-3))/((-12)/(-28)). Let o(h) = n - 8 - 1 + 11 - 2*h. What is the remainder when o(-11) is divided by 7?
3
Let w(o) = -4*o**3 - 7*o**2 - 2*o - 1. Let r be w(-3). Suppose -4*l + v + 720 = 0, 0 = 3*l + 4*v + r - 590. Calculate the remainder when l is divided by 37.
32
Let o(t) = t + 1. Suppose -8*x + 22 = -34. Suppose 0 = 14*z - 973 + x. What is the remainder when z is divided by o(5)?
3
Suppose 0 = -54*t + 44*t + 20. Suppose -t*o = -651 + 191. What is the remainder when o is divided by 120?
110
Let o = -3631 + 3710. Calculate the remainder when o is divided by 3.
1
Let d(s) = 29*s**2 + 12*s + 30. Let v be d(-5). Let z = v - 346. What is the remainder when z is divided by 22?
19
Let z = -154 - -417. What is the remainder when z is divided by (47276/446)/(2/(2/2))?
51
Let a = 5 + 8. Suppose 54*r = 61*r - 1575. Let q = 255 - r. What is the remainder when q is divided by a?
4
Suppose -92*l - 17 = -93*l. Let o(c) = -3*c + 17. Let g be o(-8). Let j = 53 - g. What is the remainder when l is divided by j?
5
Let c(n) = -5*n - 51*n**2 + 18*n**2 + 20*n**2 - 7 + 15*n**2. Calculate the remainder when 43 is divided by c(-2).
10
Let c(r) = -r**3 + 8*r**2 + 2*r - 12. Let z be c(8). Suppose -109 = z*b + 883. Let k = b - -393. What is the remainder when k is divided by 37?
34
Let v(g) = g**3 - 10*g**2 + 24*g - 3. Let o be v(7). Suppose 5*h - 35 = -n, n - 19 = -3*h + o. What is the remainder when n is divided by (-10)/45 - 256/(-18)?
12
Let g(o) = -4*o**2 - 90 - 63*o + 60 + 0*o. Calculate the remainder when 42 is divided by g(-15).
12
Suppose -s + 272 = -2*w, 4*w = 18*s - 13*s - 1360. Calculate the remainder when 319 is divided by s.
47
Let l(x) = -x**3 - 34*x**2 + 108*x + 81. What is the remainder when l(-41) is divided by 41?
40
Suppose -3*j - 3*q + 374 + 67 = 0, -4*q - 652 = -4*j. What is the remainder when j is divided by 46?
17
Let y = 13 + -8. Suppose 0 = 2*f - 5*u - 63, 0 = -4*f + y*u - 2*u + 91. Let z = -1 + f. Calculate the remainder when 34 is divided by z.
16
What is the remainder when (7/(-21))/(4/(-5532)) is divided by 93?
89
Suppose -14*n + 40 = -2. Suppose -f - 5*d + n - 6 = 0, d - 19 = -3*f. What is the remainder when 8 is divided by f?
1
Let o(g) = -g**3 - 12*g**2 + 7*g + 8. Calculate the remainder when 860 is divided by o(-13).
0
Let z = -16 - -22. Suppose -5*f = q + 13, 0*q + 4*f = -3*q - z. What is the remainder when 102 is divided by -1 + 1 + 33 + 4/q?
32
Suppose -4*s + 12 = -4*m, 5*s - 4*m + 6 = 27. What is the remainder when 7180 is divided by s?
7
Let o = -25 - -67. Let i = o - 23. Suppose 3*d - w = i, 0 = 3*d - 7*d - 3*w + 21. Calculate the remainder when 9 is divided by d.
3
Suppose -4*m = 5*r - 8318, -r - 93*m + 91*m = -1660. What is the remainder when r is divided by 52?
2
Let s = -102 - -106. Suppose -8 = z - s*g, g + 3 = 5. Suppose 9*w + w - 870 = z. What is the remainder when w is divided by 23?
18
Let r(z) = z**2 - 52*z + 78. Let v be r(44). Let d = 391 + v. Let m(b) = 20*b**2 - b + 1. What is the remainder when d is divided by m(1)?
17
Let k(a) = 11*a - 2. Let y(r) = -2*r**2 + 7*r + 46344. What is the remainder when y(153) is divided by k(2)?
17
Let v = -11 - 1. Let d be 114/(-18) + 5 - (-16)/(-6). What is the remainder when 1288/12 - d/v is divided by 36?
35
Let r = 656 - 402. What is the remainder when 880 is divided by r?
118
Let k(t) = 99*t**2 + 9*t + 6. Let y be k(-1). Suppose 3*m + 9*m = y. What is the remainder when 15 is divided by m?
7
Calculate the remainder when 568 is divided by ((-4)/22 - 403/143)*195/(-45).
9
Let p(t) be the second derivative of -3*t**2 + 5/6*t**3 + 0 + 27*t + 5/4*t**4. What is the remainder when p(2) is divided by 14?
8
Let l(w) = -76*w - 341. What is the remainder when l(-7) is divided by 100?
91
Let m be (-2 - -306)/(0 + 1). Suppose -h - 176 = -3*q - 0*h, -h + m = 5*q. What is the remainder when q is divided by (660/(-143))/30 - 171/(-13)?
8
What is the remainder when 42/(-147) + (-204480)/(-84) is divided by 1212?
10
Let o(l) be the first derivative of -l**4/4 - 2*l**3 + 7*l**2/2 + 10*l + 5. What is the remainder when (-9)/(-39) + (-8118)/(-143) is divided by o(-7)?
7
Let d be (-80)/120 + 44/(-6) + -1. What is the remainder when 26 is divided by ((-119)/(-21) + -3)/((-2)/d)?
2
Let h = -2210 + 2735. Calculate the remainder when h is divided by 16.
13
Let v = -273 - -278. What is the remainder when 54 is divided by -11 + v + 204/12?
10
Suppose -3*t = -5*x - 1839, -2*x - 673 - 2411 = -5*t. Calculate the remainder when t is divided by 89.
84
Let b(j) = -17*j**2 + 4*j + 5. Let p be b(-2). Let s = p + -41. Let n = s + 119. What is the remainder when 69 is divided by n?
6
Suppose 0 = -3*i - 2*w + 19, -4*w = i - 5 + 12. Let f = -48019 - -48080. What is the remainder when f is divided by i?
7
Let a = 1225 - 1209. What is the remainder when (5 - (-32)/(-6))*-90 is divided by a?
14
Suppose 9*u = 12*u + 5*w - 199, u = 2*w + 81. What is the remainder when 141 is divided by u?
68
Suppose -106*i + 206*i = 105*i - 280. Calculate the remainder when 492 is divided by i.
44
Let t be (3 + -5)*-3 + (-26)/2. Calculate the remainder when 44 is divided by t/(-14)*-9*-2.
8
Let c(z) = z**3 + 4*z**2 - 1. Suppose 7*r = 24*r - 119. What is the remainder when r is divided by c(-2)?
0
Let z = 59 + -23. Suppose -11*k + 22*k - 230 = -12*k. Calculate the remainder when z is divided by k.
6
Suppose l = 2*w + 33, -24*w + 100 = 3*l - 29*w. Calculate the remainder when 771 is divided by l.
1
Suppose -13*d = -8*d - 3*v - 679, v + 683 = 5*d. Calculate the remainder when d is divided by 80.
57
Suppose 0 = 5*v - 2*k - 1244, 0 = 2*v + 2*v + 3*k - 986. Suppose -19*t + v = -15*t. What is the remainder when t is divided by -1 + 2/((-2)/(-17))?
14
Suppose 93 = f - 6*i, 4*f + 327 = 7*f - 2*i. What is the remainder when f is divided by 48?
15
Let i(w) = -572*w**3 + w + 3. Let a be i(-1). Let k = -553 + a. Calculate the remainder when 248 is divided by k.
17
Let q(z) = -316*z + 979. What is the remainder when 455 is divided by q(3)?
21
Suppose -2*m = -4*x + 4 - 6, -5*m + 5 = 5*x. Suppose -9 + x = -b. What is the remainder when b is divided by 3?
0
Suppose r + 3*b = 40, 8*b - 6*b = -2*r + 72. Suppose -155 + r = -11*j. What is the remainder when j is divided by 8?
3
Suppose -3*z + 27 = -0. Let y be 3 - -5*z/(-15). Suppose y*x - 5*x + 35 = 0. Calculate the remainder when 25 is divided by x.
4
Let j = 1149 + -1120. Calculate the remainder when 4 + (-1)/(-1) + 196 is divided by j.
27
Let m = 244 - 229. Suppose 2 = -5*k + 37. Calculate the remainder when m is divided by k.
1
Suppose -5*q + 4*p = 0, 2*p = -4*q + 2*q. Calculate the remainder when 31 is divided by (-16 + q)*(2 - 9 - -6).
15
Suppose -5*x + 267 + 308 = 0. What is the remainder when 467 is divided by x?
7
Suppose -2*c = -6*x + 2970, 33*c - 31*c = -12. What is the remainder when x is divided by 27?
7
Suppose 4*b = -5489 + 1429. What is the remainder when (-2)/(-8) - (6 - b/(-20)) is divided by 13?
6
Let d(u) = 27*u**2 - 38*u + 75. Calculate the remainder when 1167 is divided by d(2).
97
Let a be 6/8*(-80)/(-2). Let y = -4 + a. Let g = 2113 - 2012. Calculate the remainder when g is divided by y.
23
Let g be (-1)/(-3) + (-814)/111. Calculate the remainder when 145 is divided by (-270)/g + 48/(-84).
31
Let c = -8 - 5. Let z(x) = -28*x - 301. Calculate the remainder when 95 is divided by z(c).
32
Suppose 0 = -1148*b + 1147*b + 22. What is the remainder when b/121 + (-8460)/(-55) is divided by 6?
4
Let i(s) = 2*s**2 - 8*s + 10. Let f(p) = 319*p + 45944. Calculate the remainder when i(7) is divided by f(-144).
4
Let y = -281 - -296. Suppose -5*p + y*p - 190 = 0. Calculate the remainder when p is divided by 5.
4
Suppose -5*m - 6*d + d + 20 = 0, 2*d = m - 1. Suppose -129 + 36 = -4*u - 5*a, 0 = a + m. Calculate the remainder when 79 is divided by u.
25
Let g(k) = -245*k - 72. What is the remainder when g(-17) is divided by 16?
13
Let l(t) = t**3 - 47*t**2 + 18. Suppose 0 = -w - 3*h + 28, w - 68 = -2*h + 7*h. What is the remainder when w is divided