(5). Let n(j) = 3*j**2 - 22*j + 27. Let p be n(c). What is the remainder when p/10 - 5/(-25) is divided by 7?
1
Suppose -360 = 3074*l - 3107*l + 1455. What is the remainder when ((-6)/(-8))/(1/732) is divided by l?
54
Calculate the remainder when 1230 is divided by 180 - 3*-1*(-14 + 15).
132
Let z = 236 - 148. Calculate the remainder when z is divided by 12.
4
Let p = -5491 - -5523. Calculate the remainder when 767 is divided by p.
31
What is the remainder when 2444 is divided by (-3)/(-21) - ((-16)/28)/((-15)/(-21180))?
23
Let h = 23634 - 23601. Calculate the remainder when 10097 is divided by h.
32
Let a(w) = -w**2 + 62*w - 322. Calculate the remainder when a(49) is divided by 7.
0
Let k = 64 + -11. Let q(p) = 2*p**3 + 119*p**2 - 156*p + 1656. Calculate the remainder when k is divided by q(-61).
8
Suppose -3*y = 5*j - 440, 4*j - 5*y - 265 = 124. Let c = 137 - j. What is the remainder when c is divided by 20/(-6)*(-18)/5?
10
Suppose 4*r + 2*d - 74 - 34 = 0, r - 37 = -3*d. Let g(u) = -35*u + 472. What is the remainder when r is divided by g(13)?
8
Suppose -4*a + 48 = -4. Suppose 0 = -3*d + 5*d + 8, -z + 317 = -3*d. Suppose k - z = -4*k. Calculate the remainder when k is divided by a.
9
Let w = -403 - -443. Calculate the remainder when 638 is divided by w.
38
Suppose 85*j + 2073 = 95*j + 743. Calculate the remainder when j is divided by 84.
49
Suppose 4*z - 10*d = -15*d + 96, 0 = 5*z + 5*d - 110. Calculate the remainder when 2864 is divided by z.
8
Let w(y) = 3*y**2 + 81*y - 560. Suppose 2*s - 13 = 457. What is the remainder when s is divided by w(6)?
31
Let n(s) = -s**2 - 4*s. Let a be n(-2). Suppose -4*o = -3*c + 68, 3*c - a*c + 2*o + 24 = 0. Calculate the remainder when (c/(-35))/(8/(-532)) is divided by 13.
12
Suppose -14*c + 2053 + 6235 = 0. Let f = 645 - c. Suppose -5*j + 7 = -4*j. What is the remainder when f is divided by j?
4
Let d(x) be the second derivative of 4*x**3/3 + 11*x**2/2 - 125*x. Let b(r) = 13*r. Calculate the remainder when b(3) is divided by d(0).
6
Suppose 0*p = 5*p - 165. Let h(w) = -11*w + 4. Let o be h(-13). Let z = o - 138. What is the remainder when p is divided by z?
6
Let z(w) = -w**2 - 49*w + 540. Let k(q) = 17*q + 5. What is the remainder when k(7) is divided by z(9)?
16
Let x(b) = b**2 + 12*b - 165. Let u = 711 + -733. Calculate the remainder when x(u) is divided by 25.
5
Let v(n) = n**3 - 26*n**2 + 28*n - 56. Let y(a) = 3*a**2 - 14*a + 33. Let d be y(4). Calculate the remainder when 73 is divided by v(d).
16
Let z(t) = -143*t - 16535. Calculate the remainder when z(-127) is divided by 181.
178
Suppose 410 = 4*k - 46. Suppose 2*c + c = k. Suppose -4 + 84 = 8*w. Calculate the remainder when c is divided by w.
8
Let b(p) = -p**3 + 11*p**2 + 93*p - 986. What is the remainder when 800 is divided by b(10)?
8
Let k be (-5)/(-20) + 54/8. Suppose -2*l + k*l - 120 = 0. Suppose 3396 - 414 = 71*b. Calculate the remainder when b is divided by l.
18
Suppose 0 = -3*l - 4*d + 324, -d = l - 53 - 54. Calculate the remainder when l is divided by 36.
32
Let i = 1189 + -1195. What is the remainder when (-2)/(-1) + ((-282)/i - -7) is divided by 11/(2*(-2)/(-8))?
12
Suppose -183*h + 32787 = -16443 + 7872. Let w(p) = 9*p + 2. What is the remainder when h is divided by w(4)?
36
Suppose 19*l + 134 = -1006. What is the remainder when 16 is divided by l/10 - (-2 - 5)?
0
Let p(h) = -112*h + 70. Let j be p(-7). Suppose -16 = -4*b, -5*i + 2*i = -b - j. Calculate the remainder when i is divided by 72.
70
Suppose -2333 + 7524 + 17489 = 21*r. Calculate the remainder when r is divided by 528.
24
Let l be ((-6)/10)/(((-40)/(-225))/(-8)). Let r = 88 + l. Suppose -r*f = -120*f + 125. Calculate the remainder when 198 is divided by f.
23
Let s(z) = -8*z**2 - 124*z + 96. Calculate the remainder when 509 is divided by s(-14).
245
Suppose -79*q = o - 84*q - 78, o - 4*q - 77 = 0. What is the remainder when 4523 is divided by o?
70
Suppose -13*a + 4 = -35. Suppose 5*n + 38 = 3*f, n - 30 = -a*f - 2*n. Suppose 0 = -2*c - 3*c + 20. Calculate the remainder when f is divided by c.
3
Suppose 780 = 3*x + 11*h - 8*h, h = 5*x - 1276. Suppose 19*c = 162 + x. Calculate the remainder when c is divided by 20.
2
Let z = 54718 - 54693. Suppose u + 3*u + 4*o = 1052, 0 = -4*o. Calculate the remainder when u is divided by z.
13
Suppose -5*t - 3*g + 6602 = -28950, 4*t - 28447 = 3*g. Suppose t = 5*p + 8*p. Calculate the remainder when p is divided by 11.
8
Let c(o) = 3*o + 5. Let l be (-1 - -4) + 1 + -4. Suppose -3*z = -4*d + 49, 5*d - 44 = -l*d - 2*z. What is the remainder when 136 is divided by c(d)?
31
Let s = -5 - -8. Suppose -400 = s*f + 44. Let b = f - -215. Calculate the remainder when b is divided by 18.
13
Let k(u) = -u - 7. Let f be k(-4). Let d(q) = q**3 + q**2 - 4*q + 8. Let n be d(f). Suppose -4*y + 318 = -n*y. What is the remainder when y is divided by 23?
21
Suppose -40*n = -214*n + 837 + 2469. What is the remainder when 337 is divided by n?
14
Let c be (-4)/6 - (-41496)/63. Suppose 2*k + l - 5*l = 338, -c = -4*k + 2*l. Let w = 74 + -41. Calculate the remainder when k is divided by w.
31
Suppose -4*h = -2*a + 2622, -3315*h - 32 = -3311*h. Calculate the remainder when a is divided by 62.
55
Suppose 6*m - 81 = 3*m. What is the remainder when m is divided by (-90)/(-9 - -3) + 2?
10
Suppose 3*v + 23 = 2*r, -3*r + 2*v = -16 - 11. Let b(i) = i**2 - 2*i + 2. Let p(s) = s**3 + s**2 - 7*s + 19. What is the remainder when b(r) is divided by p(0)?
18
Let b(w) = -3*w - 12. Let s be b(-5). Suppose 9 = s*i - 0. Suppose i - 9 = -2*n. Calculate the remainder when 5 is divided by n.
2
Suppose 2*z + 2*i - 357 = 683, -3*z + 1530 = -2*i. What is the remainder when z is divided by 64?
2
Suppose 5*q - 5879 = -4*p, -5*p + 8962 + 1629 = 9*q. Calculate the remainder when q is divided by 388.
15
Let o = -2 - -10. Suppose s + 24 = p, p - o*s - 34 = -5*s. Calculate the remainder when p is divided by 7.
5
Suppose 0 = -4*v + 3 + 25. What is the remainder when 4/50 + (-341301)/(-2175) is divided by v?
3
Let a = -87 + 95. Let h be ((-500)/a)/((-6)/24). Calculate the remainder when (-4)/(-2)*h/20 is divided by 4.
1
What is the remainder when 9/6*(-569982)/(-369) is divided by 78?
55
Let m = 121 + -146. What is the remainder when 185 is divided by 4/10 + (-765)/m?
30
What is the remainder when (-2)/23 - 103499/(-253) is divided by 128?
25
Calculate the remainder when 851 is divided by (52/(-195))/((-2)/(-36))*-5*3.
59
Suppose -1248 - 2595 = -9*w. Calculate the remainder when w is divided by 414.
13
Suppose -k + 102 = -4*g, 3*k - 226 = -0*k - 4*g. Let o = k - 6. What is the remainder when o is divided by 13?
11
Let d(k) = k**3 - 18*k + 4. Let u = -223 + 219. Calculate the remainder when 20 is divided by d(u).
8
Suppose -38*c + 39*c = l - 1816, -5458 = -3*l + c. Calculate the remainder when l is divided by 15.
6
Calculate the remainder when 16 + (((-12)/9)/2)/(20/210) is divided by 7.
2
Suppose -j = 5*v - 1115, 0 = -32*j + 37*j + 2*v - 5552. What is the remainder when j is divided by 86?
78
Let v = -87 + 183. Let h be (v/(-80))/(3/5 + -1). Suppose h*k - 4*d = 19, -4*d + 12 = -4*k + 40. Calculate the remainder when 44 is divided by k.
8
Let p be 1/3 - 5635/(-15). Suppose p*s = 374*s + 56. What is the remainder when 195 is divided by s?
27
What is the remainder when 28 - -73 - (-1)/(-1)*0 is divided by (-1149)/(-33) + (-155)/55 + 3?
31
What is the remainder when 11624 is divided by ((-2)/4)/(70/(-1540))?
8
Suppose -9*p + 154 = 2*p. Suppose 2*m + k = 9, -3*m + 2*k + 17 = -p. What is the remainder when m is divided by 5?
2
Suppose 13*j + 1666 = 132*j. Calculate the remainder when 3792 is divided by j.
12
Let p(i) = 3*i**2 + 18*i - 362. What is the remainder when 639 is divided by p(-15)?
37
Let f = -314 - -345. Suppose 564 = f*b + 6. Calculate the remainder when 69 is divided by b.
15
Suppose -8*z + 72 + 0 = -0. What is the remainder when 1887 is divided by z?
6
Let i(k) = 343*k + 6896. What is the remainder when 782 is divided by i(-20)?
26
Suppose 0 = 1010*m - 1011*m + 201. Let o = m + -196. What is the remainder when 2/(-4) - (-94)/4 is divided by o?
3
Let o = -24257 + 24812. What is the remainder when o is divided by 138?
3
Suppose 67 + 109 - 32 = 6*l. Calculate the remainder when 791 is d