8. What is the remainder when i is divided by (6*22)/((-130)/(-65))?
63
Suppose 21*k - 17*k - 328 = 0. Let m = k - 36. What is the remainder when m is divided by 24?
22
Let k(i) = 36*i - 143. Calculate the remainder when 181 is divided by k(5).
33
Let v = -134 + 720. Let w = v - 350. Calculate the remainder when w is divided by 16.
12
Suppose -m = z - 28, -102 = 5*m - 72. Calculate the remainder when 9517 is divided by z.
31
Let q(n) = 3*n**3 + 156*n**2 - 13*n + 47. Calculate the remainder when q(-52) is divided by 82.
67
Suppose -3*a - 2*t = -853, 2*t + t + 586 = 2*a. Suppose 0 = -9*j + 181 + a. Calculate the remainder when j is divided by 15.
7
Calculate the remainder when (256 - (-35)/(-5)) + 8 is divided by 6.
5
Suppose 0 = -5*i - 25, 14*i - 21 = m + 19*i. What is the remainder when (-2700)/(-42) + 6/(-21) is divided by m?
0
Suppose 0 = -23*l - 15 + 84. Suppose 9 = -2*u - 5*v, 5*u - 3*v - 15 = l*u. What is the remainder when 32 is divided by u?
2
Suppose 5*s - 5*l = 43065, -52*s + 51*s = -2*l - 8609. Calculate the remainder when s is divided by 44.
37
Suppose -4*o = 4*q - 112, 4*o + 20 = -2*q + 86. Calculate the remainder when 712 is divided by q.
22
Suppose -37*v + 1056 = -1904. Calculate the remainder when v is divided by 28 - -1*(-3)/3.
26
Let x(d) = 5*d**2 + 3*d - 1. Suppose 101*i + 3*i = -133*i + 7821. What is the remainder when x(6) is divided by i?
32
Calculate the remainder when ((-77)/(-28) + -3)*(-6 + (-2851 - 7)) is divided by 20.
16
Let f(j) = j**3 - 26*j**2 + 75*j - 361. Calculate the remainder when f(24) is divided by 16.
15
Suppose -4*q + 327 = 5*d, -2*d = -4*q - 13 - 101. What is the remainder when d is divided by 63?
0
Let f = 2 + 251. Suppose 2*c - 667 + f = 0. What is the remainder when c is divided by 21?
18
Let s = -5124 + 9040. What is the remainder when s is divided by 1302?
10
Let x = 5030 + -5013. What is the remainder when x is divided by 17?
0
Suppose 90*h + 4 = 86*h, -h + 4701 = 2*r. What is the remainder when r is divided by 15?
11
Suppose 10*h - 9*h = 3*a + 58, 63 = h - 4*a. Suppose -104 = -t + 16. What is the remainder when t is divided by h?
34
Let x = 583 + -572. What is the remainder when 88 is divided by x?
0
What is the remainder when (-7074524)/(-917) - (-8)/7 is divided by 34?
32
Suppose -169 = -4*r + 3*r. Let n(d) be the first derivative of -2*d**3/3 - 13*d**2/2 + 4*d - 80. Calculate the remainder when r is divided by n(-5).
17
Suppose -3*a + 2*v = -5*a - 32, -4*a - 3*v - 65 = 0. Let h(f) = -f**3 - 15*f**2 + 31*f - 32. Calculate the remainder when 151 is divided by h(a).
18
Let l = 31992 - 31949. Suppose f + 5*m = 72, 3*f - m - 230 = -2*f. What is the remainder when f is divided by l?
4
Let y be ((-5)/10)/((-2)/(-8)). Let r be ((-651)/(-6) - 3) + y/4. Suppose r = 4*f + 29. Calculate the remainder when f is divided by 4.
3
Let u be (2 + -8)/(2/12). Let r = -18 - u. Let s = 53283 - 53280. What is the remainder when r is divided by s?
0
Let b(h) = -55*h - 289. Suppose 9*j = 46*j + 222. What is the remainder when 197 is divided by b(j)?
33
Calculate the remainder when (-14)/(-98)*-7*(-23 - 1) is divided by (-4*1/(-8))/(1/14).
3
Let p be (4 - (4 - 4)) + 1. Suppose 5*d - p = -0*j + j, -j + 4*d = 4. Suppose j = 2*i + 5*i - 63. What is the remainder when i is divided by 6?
3
Let p be 4/(-4)*3 + 6. Let l be 2/p + (-125)/75. What is the remainder when (4/(-2 - l))/(2/(-4)) is divided by 4?
0
Suppose -4*s - 3*y + 37 = 0, y - 17 = s - 3*s. Suppose -70*h = 137*h - 929 - 313. Calculate the remainder when s is divided by h.
1
Let a = 11072 - 11085. Let o(i) be the second derivative of -i**5/20 - i**4 + 2*i**3 + i**2/2 + i. Calculate the remainder when 151 is divided by o(a).
11
Calculate the remainder when (1 - 11204/(-20))/(36/90) is divided by 44.
39
Let h(u) = 59*u - 3614. Let p = -102 - -187. What is the remainder when h(67) is divided by p?
84
Let x(c) = 5*c**3 - c - 8. Let i be 4938/13 - 2/(-13). Let b = i + -261. What is the remainder when b is divided by x(2)?
29
Let i = 49 - 45. Suppose -4*p = -i*h - 320, -5*p - 5*h + 467 = 17. What is the remainder when p is divided by 43?
42
Let i(m) = 24*m - 204. Calculate the remainder when 311 is divided by i(15).
155
Let k(g) = -5*g - 47. Let m be k(-10). Suppose -4*z + 24 = 4*i, m*z + 4 = -2*i + i. Calculate the remainder when 1354/14 + (-4)/(-14) is divided by i.
9
Let l(a) = -37*a + 56. Let t be l(2). Calculate the remainder when 558 - (6/15)/(t/90) is divided by 47.
43
What is the remainder when 112/(-154) + 17475/55 is divided by 139?
39
Let p(t) = 67*t**2 - 53*t + 25. What is the remainder when p(3) is divided by 75?
19
Let s = -55 - -108. Suppose -s = 6*n - 167. Calculate the remainder when 66 is divided by n.
9
Suppose -2*v + 100 = 3*v - 5*x, -v + 20 = x. Suppose -s + 131 = -0*s. Calculate the remainder when s is divided by 38/(-5)*-1*v/8.
17
Let w(z) = 5*z**2 + 223*z - 59. What is the remainder when 430 is divided by w(-45)?
27
Suppose o - 28 = -z + 53, 3*o - 235 = z. Suppose 0 = -d + 1 - 0. Suppose 3*p = d + 29. Calculate the remainder when o is divided by p.
9
Suppose 17*h = -2*h + 6270. Suppose -h = -5*m - 35. What is the remainder when m is divided by 16?
11
Let o = 388 - 304. Calculate the remainder when (o/(-4))/(2 + (-14)/4) is divided by 8.
6
Let x = -71 + 116. Let z be 0 - -3 - (10 - 0) - -545. Calculate the remainder when z/((10/(-4))/((-155)/124)) is divided by x.
44
Let d = 7500 + -7450. What is the remainder when 9299 is divided by d?
49
Let z(h) = -h**3 + 12*h**2 + h - 12. Let d be z(12). Let q be 4/14 + (-44)/7 - d. What is the remainder when 40 is divided by (-130)/q - 6/(-45)*-5?
19
Let c(v) = -v**2 - 96*v - 1602. Calculate the remainder when 89 is divided by c(-73).
12
Let m = -118 - -1144. Suppose 19*d + m = 57*d. What is the remainder when 134 is divided by d?
26
Let o be ((-30)/12)/((-5)/92). Suppose 0 = -m + 5*c + o, 0*c + 4*c = 3*m - 171. What is the remainder when m is divided by 32?
29
Suppose -2*h = 5*v - 4557, -4*h + 9129 = 3365*v - 3360*v. Calculate the remainder when h is divided by 10.
6
Suppose -5*i - 3261 = 4*v - 502, 0 = 4*i - 3*v + 2232. Let w be i/25 + 1/5. Let o = 34 + w. Calculate the remainder when o is divided by 7.
5
Suppose 4*s + 16 = 0, 0 = 5*l - 2*s - 38 - 35. Let h(a) = 153*a + 672. Calculate the remainder when h(-4) is divided by l.
8
Calculate the remainder when 754 is divided by 4/42 + 28492/714.
34
Suppose 0 = 171*d - 174*d + 9. What is the remainder when 199 is divided by ((-5)/d)/((-10)/300)?
49
Let j(x) = -x**2 - x + 26. Suppose 8*p = 7*p + 3. Calculate the remainder when j(0) is divided by (-4)/((-24)/27)*10/p.
11
Suppose 33 = 3*n - 2*n. Suppose 0*h = -26*h + 234. Suppose -4*l + 4*d - h*d = -377, -2*d = 6. What is the remainder when l is divided by n?
32
Let w(j) = -j**2 + j + 231. Let c = -89 + 89. Let o be w(c). Calculate the remainder when (6/7)/(11/o) is divided by 7.
4
Suppose -2*r = 3*u - 19, -8*u + 29 = -3*u + 2*r. Suppose -5*w = -2*v - 85, 5*w - u*v + v = 85. What is the remainder when 74 is divided by w?
6
Let m = 16499 + -16420. Calculate the remainder when 1437 is divided by m.
15
Let r(d) = -5*d + 15. Let q be r(26). Let i = q + 135. What is the remainder when 72 is divided by i?
12
Let u(x) = -24*x - 214. Let w be u(-9). Let d be 53/1 + 2 + -2. Suppose -3*r - 12 = 0, w*p = -2*r - 9 + d. What is the remainder when 101 is divided by p?
23
Let w = -5911 - -5970. What is the remainder when 130 is divided by w?
12
Suppose 0 = -2*l + t + 3, -3*l = t - 4 - 3. Let b be (1/4*l)/(25/250). Calculate the remainder when 776/20 - ((-11)/b + 2) is divided by 14.
11
Let h = 19645 + -15523. What is the remainder when h is divided by 15?
12
Let j = 159 - 77. Let b be (-2)/9 + 140/(-18). Let u = 51 + b. What is the remainder when j is divided by u?
39
Suppose 24*r - 25*r - 8 = 4*u, 0 = -4*r - 4*u + 16. Suppose 30*k = r*k + 3520. Let s(c) = 4*c**2 + 5. Calculate the remainder when k is divided by s(3).
37
Suppose 0 = 16*n + n - 68. Suppose 9*c - 5 = -5*z + 14*c, 5*z - n*c - 5 = 0. Calculate the remainder when 43 is divided by z/2 + 87/(-12)*-2.
13
Let s = 3224 - 2994. Calculate the remainder when s is divided by 39.
35
Let p = -24 + 47. Suppose -6*v - v - 3*v = 0. Suppose v = -z + 2, -33 = -l + z + 54. Calcula