
Let y(s) = s**3 + 9*s**2 - 14*s. Let b(r) = -r**3 - 9*r**2 - 7*r - 30. Calculate the remainder when y(-9) is divided by b(-9).
27
Suppose -t + 236 = -4*x, 124*t - 128*t + 2*x + 874 = 0. What is the remainder when 4526 is divided by t?
206
Suppose 9*b - 7 = -34. Let d(a) = -a**3 - 2*a**2 - 7*a - 4. Let f be d(b). Suppose -2*h = -0*h - 4*i - f, 2 = -i. What is the remainder when h is divided by 6?
3
Suppose 15820 = -9*t + 37*t. What is the remainder when t is divided by 70?
5
Calculate the remainder when 2/8 - (-217289)/604 is divided by 33.
30
Suppose -2*y + 2*q = -1964, 164*y = 169*y - 3*q - 4918. What is the remainder when y is divided by 977?
9
Suppose 0 = -4*p + 2469 - 681. Suppose 446*b = p*b - 20. What is the remainder when 417 is divided by b?
17
Let j(g) = 4*g**2 + 181*g - 612. What is the remainder when 179 is divided by j(-49)?
56
Let h be (-7)/(-1) + (10 - -4)/(-7). Suppose 0 = -6*q + 7*q - h. What is the remainder when (-59 - (-10)/q)*2/(-3) is divided by 8?
6
Let k(h) = h**2 - 135*h + 3272. What is the remainder when 366 is divided by k(31)?
30
Let a = 6415 - 4904. Calculate the remainder when a is divided by 6.
5
Suppose 0 = -23*m - 4086 + 14206. Let f = -419 + m. What is the remainder when 39 is divided by f?
18
Let t(g) = g**2 + 25*g + 23. Let p(l) = -2*l**2 - l - 2. Let m(b) = -2*p(b) - t(b). Calculate the remainder when m(-7) is divided by 76.
61
Let f = 2839 - 2817. What is the remainder when 270 is divided by f?
6
Let r(q) = -3*q - 18. Let b be r(10). Let v = 65 + b. Suppose 15*g = 21*g - 192. What is the remainder when g is divided by v?
15
Let v(r) be the third derivative of -13*r**4/24 + 13*r**3/6 + 133*r**2. What is the remainder when v(-12) is divided by 34?
33
Let v(s) = 3*s**3 + 33*s**2 - s + 6. What is the remainder when 380 is divided by v(-11)?
6
Let u = 4 + 5. Suppose -3*d + k + 15 = 0, 0 = -5*k - 20 + 5. What is the remainder when 46 - (d + (-1 - -3)) is divided by u?
4
Let l be (3/2)/(-3)*-6. Let g(j) = 8*j - l*j - 3*j - j**2 + 20 - 9*j. What is the remainder when 45 is divided by g(-8)?
9
Suppose -43 = -5*v - 3*m, -v + 5*m = -4 + 1. Let u(y) = -y**2 + 31. Calculate the remainder when u(0) is divided by (v/6)/((-30)/15)*-12.
7
Suppose k - 2*t - 2860 = 0, k + 4*t = 2*t + 2876. What is the remainder when k is divided by 99?
96
Suppose -3*z + 4*o = -0*z - 5104, 6822 = 4*z - 2*o. Let c be z/10 - (-1)/5. Suppose 11 = -4*i + c. Calculate the remainder when i is divided by 14.
12
Suppose 0 = u + 1, 9*u - 6*u - 14 = -i. Suppose 3*j - 30 = -2*j. Let v = j - -22. Calculate the remainder when v is divided by i.
11
Suppose 4*w = -5*w + 3069. Calculate the remainder when w is divided by ((-35)/70)/(1/10) + 62.
56
Let i(k) = -156*k + 1448. Calculate the remainder when i(0) is divided by 23.
22
Let t(x) = -x**2 - 6*x. Let f(l) be the first derivative of -l**2/2 - 3*l - 5. Let m be f(2). Calculate the remainder when 33 is divided by t(m).
3
Let q = -1711 + 1923. What is the remainder when 377 is divided by q?
165
Suppose -17 = -b + 2*u, 0 = -4*b + 2*u + 26 + 42. Suppose 0 = 2*d - b - 33. Calculate the remainder when 132 is divided by d.
7
Suppose 0 = 2348*f - 2213*f - 25380. What is the remainder when f is divided by 48?
44
Let l be (12/(-14))/(72/(-336)). Let u(t) be the second derivative of t**5/20 - t**3/3 - 9*t**2/2 - 2*t. Calculate the remainder when u(l) is divided by 27.
20
Suppose -m + 2*m = 0. Let z(d) be the third derivative of -d**6/120 - d**4/24 + 11*d**3 + 311*d**2. Calculate the remainder when z(m) is divided by 28.
10
Let i = -73 + 85. Let x = 0 + 35. Let a = x + -13. What is the remainder when a is divided by i?
10
Let q(a) = 11*a**2 - 38*a + 103. What is the remainder when q(5) is divided by 46?
4
Let x = -21 + 15. Let k(o) = -o**2 - 10*o - 8. What is the remainder when (-42)/(-36) - 1868/(-24) is divided by k(x)?
15
Suppose 2*m = 2*s - 8192, 0 = 9*s - 8*s + 3*m - 4124. What is the remainder when s is divided by 11?
0
Let o = 391 + -235. Suppose 11*w = 5*w + o. Let f(i) = -3*i - 13. What is the remainder when w is divided by f(-9)?
12
Suppose -2*q + 17 = -5*o - 5, -11 = -q + 2*o. Let d = -3 - -10. What is the remainder when ((-705)/(-55) - -7) + 2/q is divided by d?
6
Let t(m) = m**3 - 3*m**2 - 2*m - 36. What is the remainder when 69 is divided by t(5)?
1
Let b(i) = -i**2 + 5*i + 2. Let q be b(4). Calculate the remainder when (-39425)/(-664) - (-3)/(-8) is divided by (q - 1)/(1/2).
9
Suppose 103 = -2*l + 5*g, g + 2*g = 15. Let t = 73 + l. Calculate the remainder when t is divided by (-7 - (-23 - -7))/(-1 + 2).
7
Let a(k) = -5*k + 12. Let w be a(2). Suppose -w = 5*f - 1127. What is the remainder when f is divided by 12?
9
Let u = 533 + -287. Suppose -u*v + 135 = -243*v. What is the remainder when 93 is divided by v?
3
Let b = -20602 + 21430. What is the remainder when b is divided by 38?
30
Let o(h) = 4*h**2 + 2*h + 4. Suppose -2*f - 4*i = -238 - 282, 5*i - 782 = -3*f. What is the remainder when (f/(-14))/(12/(-42)) is divided by o(-3)?
32
Let f = -392 - -686. Let a = -218 + f. Calculate the remainder when a is divided by 16.
12
Suppose 24*j - 320 = 232. Suppose -5*k + 152 = 3*v - v, -5*k + 151 = v. What is the remainder when k is divided by j?
7
Suppose 2*z + 39 = 5*z. Suppose 13 = j - 5*b, -3 = -4*b + 5. Calculate the remainder when j is divided by z.
10
Suppose 15 = r - 4*g, -2*r + 5*g + 27 = 2*r. Suppose l - r*c = 82, -4*l + c + 368 = 51. What is the remainder when l is divided by 17?
11
Let u be (5/6)/(8/(-5 - -53)). Suppose -4*q + u*v = -169, -2*v - 86 + 4 = -2*q. What is the remainder when 269 is divided by q?
17
Calculate the remainder when (-2)/3*-4*(-1197)/(-42) is divided by 166/12 + 4/24.
6
Let o be (-10)/3*(-5 - 35/(-10)). Let l = 3 - -4. Suppose 3*f = -o*n + 65, 3*f = -2*n - 2*f + l. What is the remainder when 61 is divided by n?
13
Suppose -4*l - 5*t + 1174 = -816, 2*l - 1006 = 3*t. What is the remainder when l is divided by 106?
76
Suppose 2*w + 0*u - 88 = -2*u, -4*w - 5*u = -181. Let g(s) = -s**3 + 30*s**2 + 42*s - 148. Calculate the remainder when g(31) is divided by w.
37
What is the remainder when (6/12 - -1)/((-6)/(-964)) is divided by 16/(-88) - (904/(-11) + 1)?
79
Suppose -u + 2 = -10. What is the remainder when ((-2660)/(-80))/(14/24) is divided by u?
9
Calculate the remainder when 283 is divided by (45/6 - 5)*-14*(-21)/5.
136
Let u(y) = y**3 + 27*y**2 - 3*y + 30. Let z be u(-27). Suppose 17*j - 178 - z = 0. Calculate the remainder when 48 is divided by j.
14
Suppose -3*s + 25 + 107 = 6*d, -4*s + 8 = 0. Calculate the remainder when 531 is divided by d.
6
Let j(t) = 2127*t - 555. Calculate the remainder when j(4) is divided by 194.
193
Suppose 3*p + 3*v = -0*p + 135, 0 = 5*p - 2*v - 204. Suppose -2*c + 1 = -h, -13*h - 42*c + 37*c + 235 = 0. Calculate the remainder when p is divided by h.
12
Let q(b) = 2*b**2 - 174*b + 991. Calculate the remainder when 788 is divided by q(6).
9
Calculate the remainder when (967 + -12)/((-10)/(-4)) is divided by 55.
52
Let g(h) = 21*h - 1354. Calculate the remainder when 282 is divided by g(68).
60
Suppose -86*y - 2*a = -83*y - 8242, 5*y - 4*a - 13744 = 0. What is the remainder when y is divided by 32?
28
Suppose 5*y - 34*m = -35*m + 8707, -y + m + 1733 = 0. Calculate the remainder when y is divided by 572.
24
Let j(g) = -g**2 - 45*g - 433. Let u = 3 - -1. Let a(t) = 2*t**2 - 5*t + 3. What is the remainder when j(-23) is divided by a(u)?
13
Let o be (2/6)/((-1)/9). Let g be ((-12)/10)/o*15/3. Suppose -g*x + x + 47 = 2*z, -4*x = -z + 37. Calculate the remainder when z is divided by 14.
11
Suppose 46*n + 1170 = 64*n. Let i = n + -16. Calculate the remainder when 96 is divided by i.
47
Suppose r + 1 = 0, 4*i + 463 = i - 4*r. Let u = 224 + i. What is the remainder when u is divided by 15?
11
Suppose 4*p - 134 = -382. Let s = p - -61. What is the remainder when 158 is divided by (10 + s + 7)*2*1?
30
What is the remainder when (-64 + 238)/(2/4) is divided by 62?
38
Suppose 2*s - 3*a - 583 = 0, 4*s + 0*a - 1181 = a. Let t = s - 249. What is the remainder when t is divided by 4?
3
Let n(h) = 15*h - 92. Calculate the remainder when n(18) is divided by 95.
83
Suppose 4*m + 17*d = 15*d + 2580, d + 3218 = 5*m. Calculate the remainder when m is divided by 34.
32
Su