ppose t = -2*q - i - 3*i, -i = -5*q - 14. Calculate the remainder when 72*(q - (-1 - 3)) is divided by 15.
12
Suppose -9*k + 277 = -6*k - g, -5*k + 451 = g. Calculate the remainder when 725 is divided by k.
88
Suppose o = -3*o + 1880. Suppose -2*g - 3*g = -o. Calculate the remainder when g is divided by 24.
22
Let n(u) = -3*u + 28*u**2 + 1 - u**3 - 34*u**2 + 4*u. Calculate the remainder when 169 is divided by n(-7).
40
Let n(a) be the second derivative of 7*a**4/12 + a**3/6 + a**2 - 33*a. Let j = 18 + 13. What is the remainder when j is divided by n(-1)?
7
Suppose 0*f = -18*f + 378. Calculate the remainder when 123 is divided by f.
18
Suppose -3*s + 3*j = -330, 27*s - 302 = 24*s - 4*j. What is the remainder when s is divided by 11?
7
Let d(o) = -3*o + 1. Let n(t) = -t**2 + 6*t - 3. Let j(g) = -5*d(g) - 2*n(g). Calculate the remainder when j(-6) is divided by 16.
7
Let o(b) = 11*b**2 + 65*b + 32. What is the remainder when 230 is divided by o(-6)?
2
Suppose -210 = 1572*q - 1579*q. Calculate the remainder when 290 is divided by q.
20
What is the remainder when 196 is divided by (88/(-32))/(3/(-108))?
97
Calculate the remainder when 253 is divided by 48 - (-2)/((32/6)/8).
49
Suppose 1092*s + 56 = 1099*s. What is the remainder when 28 is divided by s?
4
Let v(i) = i**3 + 10*i**2 + 3*i - 6. Let o be v(-10). Calculate the remainder when (-8)/o + 140/18 is divided by 7/(-14)*4 + 1*5.
2
Let w = -31 - -53. Let m = 22 - w. Suppose -d = -a + 15, -3*a + 35 = 2*d - m. Calculate the remainder when a is divided by 8.
5
Let q = -341 + 1248. Calculate the remainder when q is divided by 35.
32
Let j(v) = 97*v**2 + 3*v - 5. What is the remainder when j(2) is divided by 10?
9
Let i(d) = -17*d + 122. Calculate the remainder when i(7) is divided by 2.
1
Suppose 84 = -9*a + 462. Suppose -4*g = -g - a. Let v = 6 - 2. What is the remainder when g is divided by v?
2
Suppose -56*l = -53*l - 867. What is the remainder when l is divided by 66?
25
Let x(k) = -26*k - 375. What is the remainder when x(-29) is divided by 95?
94
Let w(f) = f**2 - 9*f + 14. Let q be w(11). Let h = q - 24. Calculate the remainder when 21/(-7)*141/(-9) is divided by h.
11
Let l(v) = -v + 4. Let o be l(12). Let s = 41 + o. What is the remainder when s is divided by 13?
7
Let y(f) = -f**3 + 20*f**2 - 18*f + 22. What is the remainder when 81 is divided by y(19)?
40
Let t(p) = -47*p**3 - 5*p**2 - 6*p - 4. Calculate the remainder when t(-3) is divided by 40.
38
Let p = 1616 + -1513. Calculate the remainder when p is divided by 4.
3
Suppose 25*c + 209 = 44*c. Calculate the remainder when 30 is divided by c.
8
Suppose -c + 217 + 213 = 0. Calculate the remainder when c is divided by 16.
14
Let g(t) = t**2 + 14*t. Let n be g(-6). Let s = 41 - 21. What is the remainder when (n/s)/(6/(-105)) is divided by 11?
9
Let c = -417 - -450. What is the remainder when 92 is divided by c?
26
Let n(u) = 2*u + 25. Let q = 5 + -11. Calculate the remainder when n(q) is divided by 8.
5
Suppose z - 4*z = 231. Let b = z + 106. Calculate the remainder when 85 is divided by b.
27
Calculate the remainder when 181 is divided by (16/(-16))/(((-2)/37)/2).
33
Let l = -7 + 7. Suppose l = -r + 31 + 59. Calculate the remainder when r is divided by 23.
21
Let i(r) = -r**2 + r + 3. Let c be i(0). Suppose 0 + 6 = c*s. Let x = -906 + 911. Calculate the remainder when x is divided by s.
1
Suppose y - 5*u + 14 = 0, 0 = y + 4*y - 2*u - 22. Let o(f) = f**2 + 5. Calculate the remainder when o(y) is divided by 15.
11
Let u(r) = -r**3 + 8*r**2 - 5*r + 3. Let m = 9 + -1. Let h = 24 - m. What is the remainder when u(6) is divided by h?
13
Suppose 15*k + 192 = 19*k. Suppose -3*m + 282 = 5*d, -4*m = 2*d + 2*d - 376. What is the remainder when m is divided by k?
46
Suppose 0 = 34*l + 26*l - 6900. Calculate the remainder when 339 is divided by l.
109
Suppose 29 + 11 = 4*d. Suppose 0 = -3*l - d + 67. Suppose 31 = 5*p + 2*c, p - 5*c = 6*p - 40. Calculate the remainder when l is divided by p.
4
Let s(a) = 2*a**2 + 3*a. Let l(h) = h**3 + 6*h**2 + 2*h + 5. Let m be l(-6). Calculate the remainder when 62 + m - -2*2 is divided by s(-4).
19
Let l(s) = 3*s - 2. Let g be l(-11). Let j = g - -118. What is the remainder when j is divided by 21?
20
Let g(f) = f**3 + 6*f**2 + 6*f. Suppose 5*i + a + 4*a = 0, 4 = -4*i - 3*a. Let u(s) = s + 8. What is the remainder when u(7) is divided by g(i)?
7
What is the remainder when 56 is divided by (-98)/(-147) - 100/(-3)?
22
Let d be -119 - -1*(-3 - -2). Let i = 189 + d. Calculate the remainder when i is divided by (-2)/5 + (-122)/(-5).
21
Let c(b) = 14*b - 16. Let h be c(7). Suppose -h = -k - 36. Calculate the remainder when k is divided by 8.
6
Suppose -3*c - 70 = -4*w, 3*w - 55 = 4*c - 3*c. Calculate the remainder when w is divided by 12.
7
Let y(b) = b**2 - 4*b + 3. Let a be y(3). Suppose a*p = m - 5*p - 31, -m + 23 = -3*p. What is the remainder when (45 - 0) + (1 - 3) is divided by m?
10
Suppose 3*f + 168 = 4*v, -5*f - 20 - 39 = -v. Let o be 1*v - (-4 - -3). Suppose 3*u = o + 65. What is the remainder when u is divided by 12?
11
Suppose x = -2*l, 2*x + 8 = -l + 2. What is the remainder when 13/2 - (-1)/l is divided by (-1)/5*2*-10?
3
Let k(r) = 2*r**2 - r - 9. Let u be k(-7). Suppose -7*w = -3*w - u. What is the remainder when 69 is divided by w?
21
Suppose -33*s + 38*s + 2*f - 1143 = 0, -2*s - 4*f = -454. Calculate the remainder when s is divided by 39.
34
Let i(l) be the first derivative of -l**2 + 37*l + 6. Calculate the remainder when i(15) is divided by 4.
3
Suppose 3*m - 39 = 24. What is the remainder when 136 is divided by m?
10
Suppose 5*g = 5*t + 880, 14*g + 4*t = 9*g + 925. Calculate the remainder when g is divided by 2.
1
Suppose -t + 4*t + 27 = n, 0 = -2*n - 4*t + 84. Let l = 4 + -16. Let s = n + l. Calculate the remainder when 70 is divided by s.
22
Let w(r) be the third derivative of -r**4/24 - 7*r**3/6 - 4*r**2. Let v be w(-11). Suppose -36 = -v*s + s. What is the remainder when 46 is divided by s?
10
Suppose -68*l - 80 = -73*l. What is the remainder when 167 is divided by l?
7
Let c = -215 + 267. What is the remainder when 361 is divided by c?
49
Calculate the remainder when 9*(-8)/(-648) - (-898)/18 is divided by 14.
8
Suppose z - 11*z + 160 = 0. Calculate the remainder when 638 is divided by z.
14
Let f(a) = a**3 - 21*a**2 + 87*a - 6. What is the remainder when 374 is divided by f(5)?
26
Let z(p) = -p**2 + 9*p + 3. Suppose -l = -5, 2*k - l - 2*l = 107. Suppose -2*d + d = -k. What is the remainder when d is divided by z(6)?
19
Suppose -3 = -3*r - 3*t - 0*t, 5*r - 2*t - 19 = 0. Suppose -14 = -3*s + 2*d - 58, 4*s + 5*d = -28. Calculate the remainder when 30/s*(0 + -4) is divided by r.
1
Let z = -192 - -203. Calculate the remainder when 79 is divided by z.
2
Let o(l) = -l - 123*l**2 + 6 - 5*l + 150*l**2. What is the remainder when 98 is divided by o(1)?
17
Suppose 0 = -x - 4 + 7. Suppose -x*m + 40 = 2*m. Suppose 5*r - 12 = m. What is the remainder when 13 is divided by r?
1
Let n(u) = u**3 - 17*u**2 - 59*u + 1. What is the remainder when 75 is divided by n(20)?
12
Suppose -7*p + 68 = -3*p. Let w(t) = -112*t + 66 + 113*t - 3*t**3 + 4*t**3. What is the remainder when w(0) is divided by p?
15
Let i be -1 - (-4 + 7) - -4. Suppose -2*f = 5*z - 48, i*f - f + 19 = 2*z. Suppose 4*n = -0*n + 112. What is the remainder when n is divided by z?
8
Let g(x) = 3*x - 8. Let h be g(-28). Let q = -47 - h. Suppose 0 = -3*f + 29 + 7. Calculate the remainder when q is divided by f.
9
Suppose -126 = -6*x + 138. What is the remainder when 1406 is divided by x?
42
Suppose -6*i + 2*k = -5*i - 161, k + 161 = i. What is the remainder when i is divided by 90?
71
Let b(y) = y**3 + y**2 - 3*y - 1. Calculate the remainder when (-6)/18 - 435/(-9) is divided by b(3).
22
Suppose 0 = -u + 2*a + 103, -8*u + 12*u + 5*a - 373 = 0. Let q = -83 + u. What is the remainder when 222 is divided by q?
12
Suppose -p - z = 17, -3*p - z = 44 + 15. What is the remainder when 19 is divided by (-162)/(-14) + 12/p?
8
Let f = 331 + -278. What is the remainder when f is divided by 6?
5
Let h be (-478)/7 + -3*(-10)/105. Calculate the remainder when 41 is divided by h/(-6) - (-1)/(-3).
8
Let x(a) = a**3 - 24*a**2 + 25*a - 28. What is the remainder when x(23