emainder when p is divided by 34?
31
Let u(c) = -c**3 + 8*c**2 - 6*c + 17. Let w be u(7). Let q(r) = 11 + 4 - r**2 - w + 6 + 12*r. What is the remainder when 38 is divided by q(11)?
6
Suppose 0 = 3*w - 3 - 9. Suppose -4*y + w = -12. Suppose -y*t = -41 - 11. What is the remainder when t is divided by 8?
5
Let q(s) = 14*s - 18. Let b be q(2). Suppose 9*o - b*o = -2. Suppose 0 = -3*h + 3*p + 13 + 14, -10 = o*h + 5*p. Calculate the remainder when 31 is divided by h.
1
Let u(f) = -f**2 + 2*f - 2. Let a be u(-3). Let o = 29 + a. Let l = -6117 - -6176. What is the remainder when l is divided by o?
11
Suppose k + 554 = 3*z + 303, 171 = 2*z + 3*k. Calculate the remainder when 753 is divided by z.
81
Let i = -781 + 767. What is the remainder when 50*(8/i)/(470/(-329)) is divided by 11?
9
Let t = 4504 + -4069. Calculate the remainder when t is divided by 109.
108
Suppose -g - 2*a + 38 = 15, 0 = 5*g - 4*a - 143. Suppose -3*z + 165 = 4*s, g*s - 5*z = 23*s + 205. Calculate the remainder when 177 is divided by s.
42
Let r = 16571 - 15478. Calculate the remainder when r is divided by 378.
337
Suppose -5*y - 4*u = -1037, 126*y = 124*y + 5*u + 428. Calculate the remainder when y is divided by 53.
50
Let o = -3579 - -2223. Let m be 8/36 - (-1)/(27/o). Let d = 63 + m. Calculate the remainder when d is divided by 5.
3
Let k = -28614 - -28644. Suppose 3*g - 5*a - 20 = 0, 2*g - 3*a + 4*a = 9. Calculate the remainder when k is divided by g.
0
Suppose -3*s - 61 = -70. Suppose -f = -s*y + 145, -3*y + 2*f - 7*f + 175 = 0. What is the remainder when y is divided by 16?
2
Suppose -9*t + 388 = 361. Let p(s) = -s**2 - 5*s - 6. Let w be p(-6). What is the remainder when 147 is divided by t/(w/(-164)) - 4?
36
Let x(t) be the third derivative of 0*t - 1/2*t**3 + 5/12*t**4 + 1/60*t**5 - 20*t**2 + 0. Calculate the remainder when 30 is divided by x(-12).
9
What is the remainder when ((-15336)/(-9) - 3) + 4 is divided by 18?
13
Let g = 210 - -6. Suppose g + 114 = 10*t. Calculate the remainder when 80 is divided by t.
14
Suppose 77*x = 151 - 74. Calculate the remainder when 185 is divided by x.
0
Let r(d) = 2*d**2 - 23*d. Let p(m) = 3*m**2 - 15*m + 17. What is the remainder when p(10) is divided by r(12)?
11
Let c(u) = 7*u**2 - 68*u - 172. Calculate the remainder when c(17) is divided by 170.
15
Suppose 45*i + 42*i - 21*i = 1716. What is the remainder when 510 is divided by i?
16
Let s = -5405 - -5443. Calculate the remainder when 1319 is divided by s.
27
Let a be (-4)/6 + 4/6. Suppose a = -0*r - 2*r - 5*s + 37, -5*r = 3*s - 64. What is the remainder when (-1)/((-7)/644) - -6 is divided by r?
10
Let j = -512 - -780. Calculate the remainder when j is divided by 30.
28
Suppose -466 + 154 = -24*n. Suppose -11*q - 60 = -n*q. What is the remainder when (178/(-4) + 1)*-2 is divided by q?
27
Let z(t) = 104*t + 5. What is the remainder when z(1) is divided by 40?
29
Let u = -1 - -27. What is the remainder when 57 is divided by u?
5
Let l(r) = -r - 2. Suppose 0 = -5*a + 2 + 18. Suppose p - a = -13. What is the remainder when 19 is divided by l(p)?
5
Suppose 3650 = 5*b + w + 4*w, 2*b - 1460 = 4*w. Let s = b - 718. Calculate the remainder when 40 is divided by s.
4
Suppose -4*b + 4 = 4*j, 0 = 15*j - 16*j - 4. Let g(n) = n**3 + 10*n - 10. What is the remainder when g(b) is divided by 24?
21
Suppose -15 = 6*q + 3. What is the remainder when (q + 9)/(27/99) is divided by 4?
2
Let y(l) = 2*l**2 - 49*l - 42. Let k be y(19). Let i = -84 - k. Calculate the remainder when i is divided by 34.
31
Let a = 13702 + -13647. What is the remainder when 1869 is divided by a?
54
Suppose -3*i + 4546 = 45*l - 50*l, -1510 = -i - l. Calculate the remainder when i is divided by 51.
33
Suppose -13*f = 566 - 2191. What is the remainder when f is divided by 6?
5
Suppose 4*j + 4*c + 12 = 0, 0 = j + 11*c - 6*c + 23. Suppose 3*g - 68 = -p + 6, j*p - 48 = -2*g. What is the remainder when 274 is divided by g?
24
Let k(x) = 3*x**2 - 626. What is the remainder when k(-22) is divided by 64?
58
Suppose 4*m + d = -24, 5*d = 5*m - 6*m - 25. Calculate the remainder when 38 is divided by 39*((-2)/9 - m/9).
12
Suppose 26*d - 555 = 906 + 229. Suppose 5*t - 229 - 1706 = 0. What is the remainder when t is divided by d?
62
Suppose -8 = -4*q + 12. Let b(w) be the third derivative of 7*w**4/24 + 7*w**3/6 - 3*w**2 - 9. What is the remainder when 122 is divided by b(q)?
38
Let m = 17231 + -13605. Calculate the remainder when m is divided by 39.
38
Let m be 2 + 16/(-7) - 443/(-7). Suppose 102 = -60*f + m*f. Calculate the remainder when f is divided by 17.
0
Suppose -6*c + 85 = -239. Suppose 865*n = 859*n + c. What is the remainder when 24 is divided by n?
6
Let k = 903 + -593. What is the remainder when k is divided by 13?
11
Let k(g) = -2*g**2 + 31*g + 3. Suppose -i + 2*i + 23 = 0. Let b = 11 - i. Calculate the remainder when b is divided by k(0).
1
Suppose 63*g - 62*g = -2*a + 61, -g = 1. What is the remainder when 67 is divided by a?
5
Let n = -18098 - -18771. What is the remainder when n is divided by 174?
151
Suppose -2*t - 385 - 777 = -4*y, 5*y = 4*t + 1463. Calculate the remainder when 639 is divided by y.
65
Calculate the remainder when 2806 is divided by (312/3)/((0 - (-2)/1)/2).
102
Let n be (6 + -2)/4 + 0. Let a be (16 - 17) + 1*9/n. Suppose 0 = 6*q - a*q + 32. What is the remainder when 27 is divided by q?
11
Let p(u) = u**3 - 22*u**2 + 9*u - 169. Let o(r) = 3*r + 67. Let t be o(-15). Calculate the remainder when 53 is divided by p(t).
24
Suppose 3*x - 39 - 180 = 0. Suppose 0 = -12994*d + 12433*d + 83206 + 39092. What is the remainder when d is divided by x?
72
Let r(v) = v**2 + 38*v + 379. What is the remainder when 27 is divided by r(-21)?
5
Suppose -2140*k + 2105*k + 33565 = 0. Calculate the remainder when k is divided by 251.
206
Let t = 141 + -107. Suppose 21*k + t = 23*k. What is the remainder when 115 is divided by k?
13
Suppose 4*z = -i - 6, -3*z - 2*i - 9 = -2. Let o = 1203050 - 1202817. Calculate the remainder when o is divided by (z + (1 - 1))*-47.
45
Let j = 8 - 1. Let x be (1 - 2)/((-46)/24 - -2). Let i(h) = -3*h - 32. What is the remainder when j is divided by i(x)?
3
Let v(j) = j**3 - 23*j**2 + 23*j + 504. Calculate the remainder when 431 is divided by v(21).
11
Suppose -10*v + 24 = -6*v. Let b(q) = 7*q + 32 - v*q - 4. Calculate the remainder when 50 is divided by b(-15).
11
Let d = 91 + -14. Let x = 479 + -291. Suppose x = 17*p - 84. What is the remainder when d is divided by p?
13
Let l be (-4)/22 - 92/(-22). Suppose 3*m - 4*m = -l, -x + m + 8 = 0. What is the remainder when 68 is divided by x?
8
Let n = -199 - -201. Suppose 2*i = -4*o + 98, -2*o - 6*i = -n*i - 40. Calculate the remainder when o is divided by (2/2)/((-1)/(-9)).
8
Suppose 5*x - 4*k - 310 = 0, -5*x - 20*k + 18*k + 310 = 0. Let v = -20 + 37. Calculate the remainder when x is divided by v.
11
Let p(o) = 3*o**2 + 266*o + 6408. Suppose -183 = -n - 2*n. What is the remainder when p(-41) is divided by n?
57
Let f = 3268 - 2915. Calculate the remainder when 354 is divided by f.
1
Suppose -2*r - 36*r + 506 = -558. Let o be ((-21)/6)/(1/(-46)). Suppose -5*d - 165 = -2*w, d + o = 2*w - 0*d. What is the remainder when w is divided by r?
24
Let f = 63 - -6. Suppose 3*b + 2*v = 20, 4*b - 26 = 262*v - 265*v. What is the remainder when f is divided by b?
5
Suppose -3*u - 1 + 22 = 0. Suppose u*r = 43 - 8. Calculate the remainder when 54 is divided by r.
4
Let n(c) = -23*c - 138. Let f be n(-6). Suppose f = 6*y - 5*y - 28. Calculate the remainder when 83 is divided by y.
27
Let h be 16/(-6)*(5 + 78/(-12)). Let m(f) = f + h*f + 7 - f + 15. Calculate the remainder when m(7) is divided by 14.
8
Let r(f) = -2*f**3 + 11*f**2 - 41*f + 216. What is the remainder when 367 is divided by r(5)?
7
Suppose 2*m = 4*k + 184, -3*m + 276 = -k - 4*k. Let q = 104 - m. Calculate the remainder when 35 is divided by q.
11
Suppose 2*u - 204 = 3*t, -1074*t + 12 = -1071*t. Calculate the remainder when 15875 is divided by u.
107
Suppose 0 = -4*l - 4*x + 8, 10*l - 7*l = -5*x. What is the remainder when 108 is divided by l?
3
Suppose 3*d + 6*d = 495. Let a = 15 - d. Let n = a - -105. Calculate the remainder when n is divided by 33.
32
Let t(b) be the first derivative of -5*b**3/3 + 36*b