7. What is the remainder when c is divided by w(7)?
17
Let f = -31 - -52. Let s(g) = -7 + f*g + 3*g**2 - 8*g - 12*g. What is the remainder when s(-3) is divided by 10?
7
Let v(z) = z**3 + 26*z**2 - 24*z + 90. Calculate the remainder when v(-23) is divided by 47.
20
Let i(x) = x**3 - 5*x**2 + 7*x + 20. Suppose -81 = -17*j + 4. What is the remainder when i(j) is divided by 37?
18
Let k(z) = -2*z + 322. Let y(s) = s - 107. Let l(o) = 6*k(o) + 17*y(o). Calculate the remainder when l(-15) is divided by 0 - 14/4*-4.
10
Suppose 5*f - 84 = 2*s, 5*f - 24 = 3*f - 4*s. Suppose -10 + f = -2*i. What is the remainder when 4/6*i - -98 is divided by 33?
30
Let t(v) = -2*v**3 - v**2 - 17*v - 35. What is the remainder when t(-6) is divided by 59?
50
Suppose -226*q + 225*q = 17 - 58. Calculate the remainder when 721 is divided by q.
24
Let k(c) = -c**3 + 6*c**2 - 5*c - 12. Let j be k(8). Let t = 334 + j. Calculate the remainder when t is divided by 39.
37
Suppose -3*r - 259 = -1729. Suppose 8*g - r = -2*g. What is the remainder when 194 is divided by g?
47
Suppose 0 = 10*t - 1483 - 7. Suppose -3*v = g - 0*g - 441, -v = g - t. Calculate the remainder when v is divided by 135.
11
Suppose -4*g = -6*l - 1134, 3*g = 5*l + 579 + 275. Calculate the remainder when 1647 is divided by g.
9
Let t(s) = -11*s**3 - 5*s**2 + 2*s + 11. Calculate the remainder when 453 is divided by t(-2).
3
Let o(v) = 2*v**3 + 67*v**2 + 378*v + 38. Calculate the remainder when o(-25) is divided by 360.
133
Let r = 73 - -459. Suppose -5*u + r = -k, -k + 109 = u + 5. Suppose -281*j - 33 - 3 = -282*j. What is the remainder when u is divided by j?
34
Let w = 6458 - 6249. What is the remainder when 1247 is divided by w?
202
Suppose -4*k = -4*g - 3*k + 906, -k - 452 = -2*g. Let c = 407 - g. What is the remainder when c is divided by 13?
11
Suppose 6*r - r + a + 21 = 0, -5*a - 17 = 3*r. Let d(l) = -84*l - 51. What is the remainder when d(r) is divided by 22?
21
Let v be (-4 - 50)/6*(-3 - -4). Let p(f) = 17*f + 175. Suppose -512 = -5*a + a. Calculate the remainder when a is divided by p(v).
18
Let c(l) = 210 - 262 + l**2 + 15*l - l. What is the remainder when 117 is divided by c(4)?
17
Let j = -123 + 232. Let a = -240243 - -240259. What is the remainder when j is divided by a?
13
Let l = 4055 - 4050. Calculate the remainder when 775 is divided by l.
0
Let r(c) = -38*c - 1. Suppose 2 = y - 3*i, 4*y - 4 = 3*y + 5*i. Suppose 4*v = z + 8, 5*z = -2*v - 0*v + 48. What is the remainder when r(y) is divided by z?
5
Let n(f) be the first derivative of f**3/3 - 13*f**2/2 + 176*f + 276. What is the remainder when n(9) is divided by 18?
14
Let i(m) = 1920*m - 1007. Calculate the remainder when i(1) is divided by 188.
161
Suppose -5*r + 2*n + 663 = -63, -2*r + 5*n = -303. Calculate the remainder when (4 + -11)*10/(-35) + r is divided by 30.
26
Let c = 10249 - 9749. What is the remainder when c is divided by 8?
4
Let i(w) = 46*w**3 - 2*w + 1. Let x(n) = 6*n**2 - 12*n + 2. Let b be x(7). Let s = 224 - b. Calculate the remainder when i(1) is divided by s.
9
Suppose 0 = -6*y + 3 + 3. Suppose 83 = 3*j - 2*t, 2 = -t + y. What is the remainder when j is divided by (-1 - -1) + (18 - 26) + 22?
13
Let f be (-2)/(1 + (-19)/21). Let o = 124 + -183. Let a = f - o. Calculate the remainder when a is divided by 20.
18
Suppose 29799*u - 29840*u + 245303 = 0. Calculate the remainder when u is divided by 35.
33
Suppose 0 = -170*z + 175*z - 315. What is the remainder when z is divided by 13?
11
Suppose -5*q + 114 + 166 = -5*t, 0 = t - 3*q + 62. Let b = -52 - t. Calculate the remainder when (2*b/(-3))/(1/(-33)) is divided by 13.
9
Let y = -4825 - -4857. What is the remainder when 46 is divided by y?
14
Let b(k) = -2*k**3 - 59*k**2 - 34*k - 63. What is the remainder when b(-29) is divided by 42?
40
Let j(m) = 343*m**2 + 16*m - 17. Calculate the remainder when j(1) is divided by 23.
20
Let o = 50 - 22. Suppose -42*u + 40 = 5*n - 40*u, 0 = -5*n - 5*u + 55. Suppose -17*k = n*k - 161. What is the remainder when o is divided by k?
0
Let u(n) = 14 + 1 - 3 - n. Let z be u(9). Suppose 30 = z*k - 2*b, -2 - 1 = k - 5*b. Calculate the remainder when 47 is divided by k.
11
Let q = -649 + 654. Suppose q = -d + 10. Calculate the remainder when 39 is divided by d.
4
Suppose -5*c - c = -3*c. Suppose -4*x - 15*x - 38 = c. What is the remainder when (-8450)/(-70) + x/(-7) is divided by 31?
28
Let r be (8 - (-1326)/(-169)) + (-89)/(-13). Suppose -r*q + 169 = -405. What is the remainder when q is divided by 27?
1
Suppose -4*r + 208 = 5*i, -r - 2 = -i + 27. Calculate the remainder when 2190 is divided by i.
30
Let k = -97 + 94. Calculate the remainder when 0 - (24/k - 2) is divided by 2.
0
Let d = -4 + 39. Let m be (-4*2/(-10))/(2/d). Let y = 17 + m. Calculate the remainder when 59 is divided by y.
28
Let a(w) be the second derivative of 7*w**3/6 - 8*w**2 + 35*w. Let n = -6 - -14. What is the remainder when a(4) is divided by n?
4
Suppose -318 = -19*m + 214. Suppose -4*w = 4*p - m, -4*w - w = 2*p - 8. What is the remainder when 152 is divided by p?
8
Let i(t) = 23*t**2 - 3*t + 1. Let o = -436 + 441. Calculate the remainder when i(2) is divided by o/(-15) + (-67)/(-3).
21
Suppose -3*k + 6 = c - 114, 0 = -3*k + 5*c + 102. What is the remainder when k is divided by 11?
6
Let n be (0 - -1) + (3 - -1). Suppose 0 = -a + n*m + 2 - 34, -28 = 2*a + 2*m. Let s = 30 + a. Calculate the remainder when 20 is divided by s.
7
Suppose -2361*l + 873*l = -333535 - 153041. Suppose -99 = -0*q - 3*q - 4*o, 0 = 2*o. Calculate the remainder when l is divided by q.
30
Suppose -630 = v - 22*v. Suppose -3*b + 109 = 2*p, -28*p + 2 = -v*p. Calculate the remainder when 182 is divided by b.
34
Let b(d) = -d**2 + 3*d + 18. Let p be b(6). Suppose -13*v + 4*v + 2106 = p. Calculate the remainder when v is divided by 14.
10
Suppose -4*g + 3*l - 3 = g, -2*l + 2 = g. Suppose -9 = 9*c - g*c. Let h = c + 18. Calculate the remainder when h is divided by 11.
6
Let c(w) = 39*w - 160. Let t(m) = -9*m - 1. Let g(s) = -c(s) - 4*t(s). What is the remainder when g(25) is divided by 18?
17
Let b be (-1 + 2)*(-12760)/(-58). Suppose 1595 = 25*q + b. Calculate the remainder when 103 is divided by q.
48
Let n = -571 + 1043. Suppose 0 = 5*a + 3*m - 52, 45 = 4*a + 4*m - 5*m. Calculate the remainder when n is divided by a.
10
Suppose 2*u = 1 - 1. Suppose 5 = -l - 3*f - u, 3*l + 2*f = -1. What is the remainder when (-2*1/2)/(l/(-94)) is divided by 19?
18
Let w = -7864 + 8837. What is the remainder when w is divided by 98?
91
Let j(u) = u**2 - 10*u + 63. Let x be j(6). Suppose -5*t + 135 = 5*h, 198 - x = 5*h - 3*t. Calculate the remainder when h is divided by 11.
8
Let z = 155366 - 155320. Let p = 30 - 18. What is the remainder when z is divided by p?
10
Suppose 12*w = -574 + 1450. Let q(g) = g. Let c(n) = n**2 - 7*n - 3. Let v(k) = -c(k) + q(k). Calculate the remainder when w is divided by v(6).
13
Suppose -5*r + 5*d = -4030, 2438 = 3*r + 35*d - 34*d. Calculate the remainder when r is divided by 47.
12
Let n(y) = 41*y + 341. Let f(c) = 10*c + 85. Let h(g) = 9*f(g) - 2*n(g). What is the remainder when h(17) is divided by 13?
11
Suppose -5*j - 670 = 8*q - 10*q, -4*j = -4*q + 1328. What is the remainder when 1099 is divided by q?
109
Let z be (-817)/(-38) - 3/(-6). Suppose -q + j + 22 = 0, z = -4*q + 5*q - 3*j. What is the remainder when 43 is divided by q?
21
Let p = 165 - 152. Let m be 16/104 - 2/13. What is the remainder when m - 1/(3/(-75)) is divided by p?
12
Calculate the remainder when 2975 is divided by (-131 - -130)*(348/(-3))/4.
17
Let n(f) = -6*f - 23. What is the remainder when 258 is divided by n(-5)?
6
Suppose 589 + 1762 = 36*x + 407. Calculate the remainder when x is divided by 23.
8
Suppose 2*m - 7*m + 190 = -5*d, -m + 42 = -2*d. Suppose 0 = m*h - 37*h + 24. Calculate the remainder when 8 is divided by 28/13 + h/(-52).
0
Suppose 0 = -697*f + 809*f - 23968. What is the remainder when 4907 is divided by f?
199
Suppose -45*l = 6*l - 15402. Calculate the remainder when l is divided by 103.
96
Suppose -2*l + 480 = 18*l. Suppose -l*o + 4*o + 340 = 0. What is the remainder when 251 is divided by o?
13
Let j be 39/(-26)*(-50)/3. What is the remainder when -165*(205/j - 9) is divided by 35?
27
Suppose 9*