 when o(k) is divided by 3.
1
Suppose -49*b + 52*b + 5*f - 29 = 0, -3*b + f + 59 = 0. Let r = -10 - -23. Let x = -7 + r. Calculate the remainder when b is divided by x.
0
Suppose -3*r + 39 = -2*g, r = -14*r + 5*g + 210. Calculate the remainder when 957 is divided by r.
12
Let g = 456 - 123. Suppose 5*s - g = 192. Calculate the remainder when s is divided by 2/(-13) + (-2360)/(-130).
15
Suppose 2*n - z = 219, -n + 38 = z - 79. Suppose -52*w + 54*w + 600 = 27*w. What is the remainder when n is divided by w?
16
Let l = -2422 + 2817. Calculate the remainder when l is divided by 95.
15
Let v(f) = 22*f + 284. Let x(w) = 11*w**3 + w**2 - w. What is the remainder when v(-11) is divided by x(1)?
9
Let o = -122 + 195. Let m = -234 - -235. What is the remainder when o is divided by 5 - ((-55)/22)/(m/6)?
13
Let n = 28465 - 28417. What is the remainder when 15119 is divided by n?
47
Let m(o) = -o**3 + 2*o**2 + 11*o + 1245. Calculate the remainder when m(0) is divided by 26.
23
Suppose 5*o - 45360 = -3*x, 57*x - 60*x = -4*o + 36261. Calculate the remainder when o is divided by 21.
18
Suppose 0 = 4*q - c - 2197, 3*q - 46*c = -41*c + 1669. Calculate the remainder when q is divided by 27.
8
Let x(c) = c**3 - 53*c**2 + 76*c - 933. What is the remainder when x(52) is divided by 76?
11
Suppose -61*o + 10035 - 1335 = -o. Calculate the remainder when o is divided by 19.
12
Let z(u) = 12*u - 14. Let i(n) = 13*n - 14. Let s(k) = -5*i(k) + 6*z(k). Let o be s(6). Suppose 2*l - o = 104. What is the remainder when l is divided by 34?
32
Let h(n) = -n**2 - 42*n - 416. Calculate the remainder when 1/((-20)/136)*-5 is divided by h(-25).
7
Let q(m) = 4*m**2 + m + 4. Suppose 1 + 7 = t + 3*v, 5*t + 4*v - 29 = 0. Let f = 1 - t. What is the remainder when q(f) is divided by 17?
13
Let s(b) = 3*b + 8. Let y(z) = -6*z - 16. Let p(h) = -5*s(h) - 2*y(h). Calculate the remainder when -2 + (-10)/(-6) - (-4326)/126 is divided by p(-9).
15
Suppose -171 = -o + 5*g, 3*o = 2*g + 443 + 96. Suppose -32 = c - 49*i + 45*i, -23 = c - 3*i. What is the remainder when o is divided by c?
1
Let h = 326 - 213. Let v(m) = -44*m - 1297. Calculate the remainder when h is divided by v(-30).
21
Let x = 47687 - 44812. What is the remainder when x is divided by 179?
11
Let m(f) be the third derivative of -f**6/120 + f**5/6 + f**3/2 - 55*f**2. Calculate the remainder when m(9) is divided by 17.
16
Let x be (7 + -5)/((-4)/(-26)). Suppose r = -2*l, 4*r = -r + 3*l + x. Suppose -j = 4*n - 81, 3 = -r*n - 3. What is the remainder when j is divided by 24?
21
Suppose c = 3*g + 53, -4*g + 4 = 3*c + 53. Let k be 437/92 + -2*(-6)/g. Suppose -k*m + 602 = 186. What is the remainder when m is divided by 27?
23
Suppose -6*v = -v - 3*h - 265, 2*h = 5*v - 270. Suppose 155*l - 1318 = 3022. Calculate the remainder when v is divided by l.
0
Suppose 0 = 2*u + 4*k - 152, -4*u - 4*k + 304 = -0*u. Let x(i) = i**2 + 11*i + 46. What is the remainder when u is divided by x(-5)?
12
Suppose -370 = -235*a + 230*a. Suppose 2*l - 58 = l + 4*c, l - 68 = -c. Suppose 4*y = y + l. Calculate the remainder when a is divided by y.
8
Suppose 116*b - 2*r - 51 = 111*b, b - 5*r = 24. Suppose 4*i + 4435 = 5*x - i, x = -4*i + 897. Calculate the remainder when x is divided by b.
7
Calculate the remainder when 4937 is divided by ((-1)/((-4)/(-2824)))/(-69 + 67).
348
Suppose 0 = 3*f + 3*t - 618, -f + 4*f - 4*t - 632 = 0. Calculate the remainder when f is divided by 71.
66
Let t be 18 + 1*(3 + 0). Let g(j) = -2*j - 2. What is the remainder when g(-5) is divided by (-28)/t*6/(-4)*2?
0
Let m = -672 + 748. What is the remainder when 141 is divided by m?
65
Let u(r) = -r**2 + 27*r + 22. Let h be u(28). Suppose 2*t + 3*m = -3, -5*t + 18 = -5*m - 12. Calculate the remainder when 55 is divided by t*((-46)/h + -3).
13
Suppose -a = -3, 4*h - 7 = 5*a - 6. Let t(o) = 7*o**2 - 18*o + 33. What is the remainder when 152 is divided by t(h)?
6
Let k(w) = -2*w - 7. Let d be k(-6). Suppose -5*u + 4 = -3*u. Suppose -d*o + 545 = -b - 109, 252 = u*o + 2*b. What is the remainder when o is divided by 33?
31
Let g(y) = -76*y - 37. Suppose -18*r + 41*r = -23. Calculate the remainder when 231 is divided by g(r).
36
Let a(s) = 2*s**2 - 13*s. Suppose 3*i + 22 = 5*i - 5*h, 0 = -2*i - h + 10. Let p be a(i). What is the remainder when 97 is divided by 1 + (-25)/15 - 202/p?
31
Suppose 5*s + 3309 = 1189. Let o = -421 - s. Suppose 5*c + 4*w = -1 - 4, 11 = -3*c - 4*w. Calculate the remainder when c is divided by o.
0
Let d = 2657 + -2223. What is the remainder when d is divided by 15?
14
Suppose -399*w + 2148 = -393*w. Let r = w + -318. What is the remainder when 58 is divided by r?
18
Let u(n) = -48*n - 10. Let z be u(3). Let v = z + 82. What is the remainder when 115 is divided by ((39/(-2))/(-3))/((-12)/v)?
37
Suppose 22*i - 351 - 155 = 0. Calculate the remainder when 1286 is divided by i.
21
Let l = 468 + -490. Let w(t) = t**2 + 7*t + 49. Calculate the remainder when w(l) is divided by 19.
18
What is the remainder when 1626 is divided by 6 - -18 - (-42)/(-3)?
6
Calculate the remainder when 553 is divided by (-3 + 8 - 3)/(8 + (-2844)/356).
19
Let h(f) = 17*f + 2. Let q(a) = 409*a + 8593. Calculate the remainder when h(8) is divided by q(-21).
2
Calculate the remainder when 31220 is divided by 17 + 200*7/28.
65
Let o(k) = 3*k**2 + 26*k + 32. Suppose 0 = -0*w - w - 5*f + 80, -5*f = -3*w + 220. Calculate the remainder when o(6) is divided by w.
71
Let n be (-5)/10*0/1. Suppose n = -4*x + 5*x - 2*i + 4, 2*x + 8 = i. Calculate the remainder when (-10)/x*(-552)/(-20) is divided by 18.
15
Let z(c) = c**2 - c - 3. Let s be z(-2). Suppose j + 8 = 5, -130 = -5*l + 5*j. What is the remainder when 135/s + 10/(-5) is divided by l?
20
Suppose -387*j + 382*j = -2130. What is the remainder when j is divided by 212?
2
Let f(r) = -7*r - 388. Calculate the remainder when 13868 is divided by f(-85).
206
Let w = 10 + -2. Let r = -86 - -81. Calculate the remainder when 12*r*(-4)/12 is divided by w.
4
Let y(a) = -2*a**3 - 32*a**2 - 4*a - 34. Let d be ((-120)/50)/(3/20). Calculate the remainder when 117 is divided by y(d).
27
Suppose 70 = 15*n - n. Suppose -3*q + 3*z = -1 - 20, -2*q = n*z. Suppose -2*l = -4*g + q*g - 36, 0 = 2*l - 2. Calculate the remainder when g is divided by 8.
2
Suppose 2*h = -3*v + 49, v + 0*h - 7 = 4*h. Calculate the remainder when 1449/v + (-3 - 24/(-10)) is divided by (-1)/(1 + -2) + 24.
21
What is the remainder when 4790 is divided by 814/8 + 38 + (-2114)/56?
98
Let j(z) = 26*z - 1414. Suppose 4*v - 5*v = -142. What is the remainder when v is divided by j(55)?
14
Suppose -2*b - 1 + 35 = 0. Suppose 7*q = 6*q - b. Let f = 31 + q. Calculate the remainder when 23 is divided by f.
9
Suppose t + 194 = 3*s, -3*s + 4*s = 5*t + 88. What is the remainder when 520 is divided by s?
16
Let f(i) = -70*i - 13. Let c be f(-2). Let a = 118 - c. Let q(n) = 2*n**2 + 6*n - 21. Calculate the remainder when q(a) is divided by 19.
11
Suppose y = -5*j + 116, 0 = 3*j + 70 - 49. Calculate the remainder when y is divided by 9.
7
Let p = 4364 + -4346. What is the remainder when 645 is divided by p?
15
Suppose 16038 = 31*i - 183075. Calculate the remainder when i is divided by 14.
11
Calculate the remainder when 225 is divided by 27/(-9) - (-90)/(5 - -1).
9
Let d(i) = -2*i**3 + 16*i**2 + 17*i + 14. Let s be d(9). Suppose 0 = x + 2, -s*x + 31 = -b + 316. Calculate the remainder when b is divided by 35.
30
Suppose 198*b + 171*b = 92997 + 82278. Calculate the remainder when b is divided by (-117)/(-7) + (-4)/(-14).
16
Let d(p) be the first derivative of -p**4/4 - 11*p**3/3 - 3*p**2/2 + 5*p - 1. Let k = 36 - 47. What is the remainder when d(k) is divided by 13?
12
Let y = 44 + -22. Let w = 80 - 24. What is the remainder when w/(-6)*189/(-42) is divided by y?
20
Suppose 3*y - 1 - 49 = 5*m, -2*y - 4*m = -70. Calculate the remainder when y is divided by (-7 - 396/(-60))*-5.
1
Let j(p) = p**2 + 8*p + 28. Let u = 2 + 0. Let w = 11 + u. Calculate the remainder when j(4) is divided by w.
11
Let i = 14 - -36. Calculate the remainder when (-3792)/(-56) + (-22)/(-77) is divided by i.
18
Let z = 5120 + -5071. What is the remainder when 732 is divided by z?
46
Suppose 36*b - 41*b + 210 = 0. Suppose 0 = j - b + 7. Calculate t