9*y**2 - 214*y + 137. Calculate the remainder when 585 is divided by m(53).
27
Let i(h) be the first derivative of h**4/2 + h**3/3 + 3*h**2 - 19*h - 86. What is the remainder when i(5) is divided by 72?
70
Suppose 4*s = -z + 17 + 96, -210 = -2*z + 8*s. What is the remainder when 460 is divided by z?
24
Let o = 30929 + -30878. What is the remainder when 126 is divided by o?
24
Let s be (0 + -4)/(2/(-38)). Let t = 80 - s. Suppose 5*k = t*c + 49, k + 4*c + 2 = 7. What is the remainder when k is divided by 2?
1
What is the remainder when (0 - -4) + -7 - (-423 + 0/(-3)) is divided by 31?
17
Let h = 12484 + -9336. What is the remainder when h is divided by 23?
20
Let b = 1503 + -1344. Calculate the remainder when b is divided by 27.
24
Let a(j) = -j**2 + 12*j - 7. Let i(u) = u + 15. Let l be i(-7). Suppose -44*k + 4180 = -3432. Calculate the remainder when k is divided by a(l).
23
Let w = -15 + 19. Suppose -4*i + 162 = -2*b, -2*i + w*b + 68 = 2. What is the remainder when 137 is divided by i?
8
Let d = 351 + -135. What is the remainder when d is divided by 5540/180 - (-2)/9?
30
Suppose 4*w + 11*w = 6*w + 1269. Calculate the remainder when 249 is divided by w.
108
Suppose -5*b + 67 = -13. Let z(s) = -2*s**2 - 16*s - 13. Let j be z(-6). Suppose -j = -3*i + b. Calculate the remainder when 14 is divided by i.
5
Let l = -5868 + 13170. What is the remainder when l is divided by 44?
42
Let y = -108 + 116. What is the remainder when (-165 + -1 + 4)*(-4)/y is divided by 14?
11
Let j(n) be the second derivative of n**5/20 - n**4 - 11*n**3/6 + 14*n**2 + 2*n + 25. Calculate the remainder when j(13) is divided by 14.
12
Suppose 4*g = 120 - 146 + 446. What is the remainder when 2090 is divided by g?
95
Let r = 80 + -48. Suppose 13*n + 198 = 198. Suppose n = -x + d + 4, -5*x + 50 = 2*d - d. What is the remainder when r is divided by x?
5
Suppose 4*j + 5*a + 4 + 3 = 0, -3*a + 7 = j. Let i(h) = h**3 + 8*h**2 + h + 9. Let t(u) = -u - 23. What is the remainder when t(-26) is divided by i(j)?
0
Suppose 86*c = -24*c + 12540. What is the remainder when 895 is divided by c?
97
Let n(x) = 0*x**2 + 4 - 12*x - x**2 + 30*x. Let c(v) = -v**3 - 16*v**2 + 13. Calculate the remainder when n(14) is divided by c(-16).
8
What is the remainder when 31 is divided by (-5)/(-2)*54/180*12?
4
Suppose -15 = 5*i, 4*j + 5*i + 32 - 441 = 0. Let s = -265 + 268. What is the remainder when j is divided by s?
1
Let x(m) = -m**2 + 14*m + 11. Let n(w) = -13*w**2 - 2*w. Let l(o) = 6*o**2 + o. Let f(s) = 5*l(s) + 2*n(s). What is the remainder when x(12) is divided by f(2)?
17
Suppose -9*a = 5*a - 1148. Calculate the remainder when 360 is divided by a.
32
Let d(x) = x**3 + 16*x**2 + 16*x + 28. Let i be d(-15). Let u = i + 288. Calculate the remainder when 102 is divided by 2/4 + u/14.
14
Suppose -31*t - 396 = -32*t - 5*q, -5*q - 1484 = -4*t. Calculate the remainder when t is divided by 78.
64
Let w = 6622 - 5942. What is the remainder when w is divided by 179?
143
Let j = -96 + 86. Suppose -4*o + 246 + 6 = 0. Let i = j + o. What is the remainder when i is divided by 11?
9
Suppose -4*w = 2*b + 2*b - 56, -4*b + w + 31 = 0. Let k(x) = -x**2 + 8*x + 17. Calculate the remainder when 62 is divided by k(b).
6
Let k(i) = 3*i**3 + 83*i**2 + 49*i - 47. What is the remainder when 90 is divided by k(-27)?
2
Let w(z) = 605*z - 204. Calculate the remainder when w(1) is divided by 37.
31
What is the remainder when 10 + 2190 - (5 + -2)*-1 is divided by 7?
5
Let l = 3 - -3. Let r = -45 - -47. Calculate the remainder when l is divided by 1*-1*(-3 + r - 4).
1
What is the remainder when 110 is divided by (12 + -9)*340/15?
42
Suppose 9*i - 15*i - 588 = 0. What is the remainder when (-13)/((-455)/i)*-30 is divided by 15?
9
Suppose 3*u + 5258 = 5*l, 0 = -3*l - 3*u - 807 + 3981. Let i = -3609 - -3630. Calculate the remainder when l/14 + (-6)/21 is divided by i.
12
Let u = 11 - 8. Suppose 4*i - 14 - 2 = 2*a, u*a - 5*i = -20. Suppose a = 5*w + k - 21, -4*w - w + 3*k = -17. Calculate the remainder when 13 is divided by w.
1
Suppose 6*v - 250 = 2*v + 7*l, -67 = -v + l. Let x(n) = 10*n**2 + 5*n + 9. Calculate the remainder when x(5) is divided by v.
65
Let i(z) = -5*z**2 + 53*z + 236. Calculate the remainder when 2739 is divided by i(13).
19
Suppose -587 = -3*g - 158. What is the remainder when g is divided by (-16)/(2 - 8 - -5)?
15
Let y be -13 - 212/(-16) - (-7)/4. Suppose -3*m - 57 - 4 = -y*x, 58 = 2*x - 2*m. Calculate the remainder when 491 is divided by x.
23
Calculate the remainder when -6 - 1 - -1 - (-190 + -6) is divided by 60.
10
Calculate the remainder when 0 + 1039 + (-13 - 25 - -26) is divided by 130.
117
Suppose 0 = -4*s - 4*v + 312, v = 2*s - 0*s - 165. Let o be 15/(-9)*(-30 - 3). Suppose -4*r + s = -o. What is the remainder when r is divided by 21?
13
Let f = 51 + -47. Suppose 2*q - 12 = -2*q - l, f*q = 2*l. Let a(y) = -4*y + 40. Calculate the remainder when a(9) is divided by q.
0
Let q be (10/(-15))/((-4)/30). Suppose 0 = 3*j + g - 8, -2*j + 3*g = -q*j + 18. Suppose 231 - 241 = -5*w. Calculate the remainder when w is divided by j.
0
Let f(l) = 3*l**2 + 29*l + 690. What is the remainder when f(-17) is divided by 9?
2
Let j = 59 + -32. Suppose 4*r = 6*r - 5*s - 83, 3*r = 5*s + 132. Calculate the remainder when r is divided by j.
22
Suppose 40*i + 9 = 49*i. What is the remainder when 61 is divided by (-1)/i + 5 + 7 + 21?
29
Let w be (-1)/1 + -2 - 3. Let f(j) = j**2 + 9*j + 20. Let v be f(w). What is the remainder when 49 is divided by (v/8)/(1/68)?
15
Let c(o) be the third derivative of -13*o**5/15 - o**3/6 + 4*o**2. Let q be c(-1). Let s = -11 - q. Calculate the remainder when s is divided by 16.
10
Let l = 1691 + -1667. Calculate the remainder when 473 is divided by l.
17
Let g = -3137 - -3226. What is the remainder when 6852 is divided by g?
88
Let t = 1128 + -814. Calculate the remainder when t is divided by 95.
29
What is the remainder when (24/80)/(16/(-20)) - 8533/(-56) is divided by 0 - 0 - 70/(-5)?
12
Let y(z) = -9*z**2 + 13*z + 94. Let n(p) = -11*p**2 + 13*p + 93. Let h(s) = 4*n(s) - 5*y(s). What is the remainder when h(-8) is divided by 9?
7
Suppose -h + 13 = 4*p - 5, 5*h - 2 = 2*p. Suppose 127 = 2*z + p*s - 301, z - 2*s - 222 = 0. Calculate the remainder when z is divided by 75.
68
Let d = -10888 + 11941. What is the remainder when d is divided by 12?
9
Suppose 23*s = 25*s - 128. Let a(q) = -q + 1. Let n be a(1). Suppose 2*m + 4*h - s = h, -5*m + 2*h + 160 = n. What is the remainder when m is divided by 12?
8
Let o(z) = z**3 - 30*z**2 + 131*z - 80. Calculate the remainder when 160 is divided by o(25).
20
Let q(u) = 2*u**3 - 6*u**2 + 4*u + 2. Let g be q(1). Suppose 2*a = 4, g*j + 0*a - 3*a - 70 = 0. Calculate the remainder when 144 is divided by j.
30
Suppose -4*r + 105 = 3*o, -223*r + 221*r = 5*o - 49. What is the remainder when 4777 is divided by r?
25
Suppose -3*p = -5*i + 18 + 153, 5*p + 142 = 4*i. Calculate the remainder when -5*200/(-3 - 2) - 7 is divided by i.
28
Calculate the remainder when 139 is divided by -11*2*(-117)/26.
40
Suppose -c = 2*g - 4, -2*g - 1 = c + g. Let f(d) = 12*d + 770. Calculate the remainder when c is divided by f(-63).
0
Suppose -3*z - 1219 = -1237. What is the remainder when z/39 + (-8067)/(-39) is divided by 14?
11
Calculate the remainder when 228 is divided by 8540/70 + -6*1.
112
Suppose 0 = 214*l - 93*l - 329967. Calculate the remainder when l is divided by 91.
88
Let c be 3 - (2 + -2) - (-73 - -97). Calculate the remainder when 174 is divided by (-7)/c - 262/(-6).
42
Suppose -4*d + 285 = -5*p + 82, 2*p = 2*d - 100. Suppose 2 = -5*w + 4*w. Let s = w + 14. What is the remainder when d is divided by s?
11
Let b = -9771 - -9966. Calculate the remainder when 1751 is divided by b.
191
Let m(k) = 3*k**2 + 2*k - 7. Let y(s) = s**3 - 31*s**2 - 69*s + 264. Calculate the remainder when y(33) is divided by m(-5).
49
Suppose 17*j - 51947 = -24*j. What is the remainder when j is divided by 19?
13
Suppose 0 = -8*z + 24, -19*k + z - 99 = -22*k. Calculate the remainder when (-2)/(-2)*(-74)/(-1) is divided by k.
10
Suppose -14*c + 93 = 55 - 438. What is the remainder when 1142 is divided by c?
20
Let p = -625 - -742. Let i = p + -71. Calculate the remainder when 136 is divided by i.