t v be t(8). Suppose 5*f - 2*x = 566, 4*f = 5*x + v + 447. Calculate the remainder when f is divided by 7.
0
Let k = -5051 + 6333. What is the remainder when k is divided by 24?
10
Let g(a) = 5*a**2 + 36*a + 41. Calculate the remainder when 2596 is divided by g(8).
0
Suppose 4*a + 6 = 2*a, 2*k = -a + 459. Let b be (-400)/(-160) - 1503/(-2). Suppose -b = -30*d + 17*d. Calculate the remainder when k is divided by d.
57
Let g = 20986 - 20747. Calculate the remainder when 1541 is divided by g.
107
Let o(n) = -101*n + 1756. Calculate the remainder when 110 is divided by o(17).
32
Let m(k) = -k**3 - 67*k**2 + 5*k + 350. What is the remainder when 913 is divided by m(-67)?
13
Suppose 5*l = -f + 104, -5*l + 2*f = -62 - 45. Calculate the remainder when 194 is divided by l.
5
Let i(t) = 209*t + 4016. Calculate the remainder when 322 is divided by i(-19).
7
Let z = -180 - -183. Suppose 0 = 5*r + p + 2*p - 84, -z*r + 3*p = -36. Calculate the remainder when 42 is divided by r.
12
Suppose b - 23 = 33. Suppose 0*d + d + b = 4*c, 4 = -d. What is the remainder when 51 is divided by c?
12
Let l(b) = -9*b + 160. Let w be l(18). Calculate the remainder when 83 is divided by (-6 - (-4 - w)) + (-1512)/(-36).
7
Let b(k) = 99*k - 3. Let j be b(1). Let s = j + -1. Suppose -5*r + 62 + s = -n, 5*n - 83 = -3*r. Calculate the remainder when 90 is divided by r.
28
Let h = -68 + 200. Suppose 1932 = 9*i + 19*i. Calculate the remainder when h is divided by i.
63
Let f(a) = -2*a**2 - 45*a - 180. Suppose -4*y = -2*o + 60, 0 = -o - 3*o - 5*y + 94. What is the remainder when f(-11) is divided by o?
21
Let b = 473 - -1481. Calculate the remainder when b is divided by 85.
84
Suppose -3*q + 5*q - 3*j = 426, -j = 2*q - 426. Let n = -255 - -384. Let t = q - n. Calculate the remainder when t is divided by 43.
41
Suppose -10*t + 80 = -110. Calculate the remainder when 138 is divided by 12/8 + t/2.
6
Suppose 4*b = -5*x + 60, 4*b - 4*x - 15 = 3*b. Let r = -6 - -10. Suppose r = 2*c - 2. Calculate the remainder when b is divided by c.
0
Calculate the remainder when 3715*15/(-300)*-12 is divided by 93.
90
Let d(x) = 740*x + 5236. Calculate the remainder when 14558 is divided by d(-7).
54
Let r(o) = -954*o**2 - 4797*o + 32. Suppose -4*j + 60 = -2*g, 5*j + g - 93 = -g. Calculate the remainder when r(-5) is divided by j.
14
Let k(d) = -d + 10. Let b be k(0). Let y(r) = 2*r + 44. Let f be y(b). Suppose 25*l - 26*l = -f. What is the remainder when l is divided by 5?
4
Suppose 88*z + 39*z - 8*z - 714 = 0. What is the remainder when z is divided by 10/4 - 25/(-10)?
1
Let l(v) = -v**2 - 11*v + 68. Let m = 25 - 37. Calculate the remainder when 278 is divided by l(m).
54
Let z(i) = -1172*i + 36490. Let q be ((-162)/(-4))/((-3)/12). What is the remainder when z(31) is divided by 2/(-5) + q/(-5)?
30
Let l = 1436 + -1407. What is the remainder when 245 is divided by l?
13
Let k(j) = -j**2 + 9*j + 4. Let l(f) be the first derivative of 3*f**2/2 + 72*f - 39. Calculate the remainder when l(-14) is divided by k(7).
12
Suppose 4*t + 3*p - 5424 = 3*t, 0 = -4*t - 3*p + 21633. What is the remainder when t is divided by 208?
203
Let x(t) = -714*t - 11289. Let d(q) be the second derivative of -3*q**3 - q**2 + 2*q. Calculate the remainder when x(-16) is divided by d(-2).
33
Let t be 1/(3 + -1) - (-144)/32. Suppose -7*g + t*g = -514. Let r = 363 - g. What is the remainder when r is divided by 22?
18
Suppose -8*h + 11*h = -36. Let t(a) = -a**3 - 10*a**2 + 22*a - 17. Calculate the remainder when 16 is divided by t(h).
2
Let p(i) = -i**2 + 1 + 30*i - 14 + 11 - 4. What is the remainder when p(27) is divided by 27?
21
Suppose 0 = -5*q - 5*r + 45, -4*q = 3*r + 2*r - 38. Suppose 5*i - 18 = q. What is the remainder when 69 is divided by i?
4
Let k(o) = 60*o + 1471. What is the remainder when k(35) is divided by 65?
61
Suppose -c - 5*f + 126 + 215 = 0, 0 = -2*f + 4. Calculate the remainder when c is divided by 75.
31
Suppose -10*b - 4*b - 4*b = -1656. What is the remainder when 141 is divided by b?
49
Suppose v - 5*v = -88. Suppose -4 = -4*z + 8. Suppose -z*f - 36 + 153 = 0. What is the remainder when f is divided by v?
17
Let y(p) = -25*p - 32. Let t be y(-13). Suppose -3*l + t = 2*d, l = d + 3*d + 79. What is the remainder when l is divided by 47?
1
Let k(n) = -n**3 + 12*n**2 + 24*n + 55. What is the remainder when k(9) is divided by 48?
34
Let t(o) = o + 6. Let i be t(9). Let r be i/(-4*3/(-156)). Suppose -h + r = 4*h. Calculate the remainder when h is divided by 21.
18
Let z(x) = 2*x + 15. Let o be z(6). Suppose -b + 17 = -o. Let j(k) = 2*k**2 - 8*k - 33. Calculate the remainder when b is divided by j(7).
8
Suppose -51*h - 18914 = -100*h. Calculate the remainder when 776 is divided by h.
4
Let h(o) = -o**3 + 38*o**2 + o - 50. Let f be h(38). Let r(m) = m**2 + 13*m + 42. What is the remainder when 59 is divided by r(f)?
29
Let u(x) = x**3 - 5*x**2 - 58*x - 39. What is the remainder when u(12) is divided by 63?
21
Let v = -216 - -216. Suppose v = 2*r - 752 + 410. Calculate the remainder when r is divided by 49.
24
Let h(i) = -i**2 - 2*i + 10. Let o be h(2). Suppose o*k - 8*j + 9*j = -1, 5*k + 5*j = -15. What is the remainder when 8 is divided by k?
0
Let m(r) be the third derivative of r**5/60 - 7*r**4/24 + r**3/2 - 45*r**2. What is the remainder when 24 is divided by m(8)?
2
Let x(n) = 1464*n - 2169. What is the remainder when x(2) is divided by 46?
23
Suppose -16*j = -11*j - 35. Suppose 1 = 3*x + j, 3*f - 26 = x. Calculate the remainder when 55 is divided by f.
7
Suppose 0 = -j - 3*s + 47 - 18, 4*s + 132 = 4*j. Calculate the remainder when 298 is divided by j.
10
Let t(i) = -i - 3. Let l be t(-3). Suppose 2*b = 70*w - 68*w - 2, 3*b = -w - 7. Calculate the remainder when 67 is divided by -6*(-5 - b - l).
13
Suppose -2970*k = -2980*k + 2150. What is the remainder when k is divided by 24?
23
Calculate the remainder when 377 is divided by (-14)/(9*20/(-1350)).
62
Let x(y) = 82*y**2 - 7 + 82*y**2 + 84*y**2 - 247*y**2 + 16*y. Calculate the remainder when 110 is divided by x(-18).
23
Let m = -782 + 921. Calculate the remainder when m is divided by 9.
4
Suppose -4*h - 166 = 18. Suppose -134*m = -141*m + 357. Let c = h + m. Calculate the remainder when 7 is divided by c.
2
Let g = 185 - 191. Let b(h) = 2*h**2 - 12*h - 28. Calculate the remainder when b(g) is divided by 39.
38
Let x(c) = c**2 - 5*c + 94. Let q(u) = -u**3 + 8*u**2 + 9*u. Suppose -3*i + 16 = -11. Let k be q(i). Calculate the remainder when x(k) is divided by 16.
14
Let j = -189 + 194. Let r(l) = -l**3 + 2*l**2 + 19*l + 4. What is the remainder when 60 is divided by r(j)?
12
Suppose -31*w - 306 = -864, 3*c + 3*w - 285 = 0. Let b(f) = -920*f. Calculate the remainder when b(-1) is divided by c.
73
What is the remainder when 114/((-1 - -8) + (286/78 - 10)) is divided by 52?
15
Let p = -71 + 136. Calculate the remainder when 3452/9 - 23188/(-9486) is divided by p.
61
Let r = 5879 + -5821. What is the remainder when r is divided by 27?
4
Suppose -398 = -105*o + 793 + 3219. Let l(y) = -12*y - 1. What is the remainder when o is divided by l(-1)?
9
Calculate the remainder when 433 is divided by 8 - 8/((-48)/138).
30
Let d(t) = -t**2 - 14*t + 33. Let h(b) = b**2 - 13*b - 20. Let a be h(16). Calculate the remainder when d(-14) is divided by (30/(-35))/((-2)/a).
9
Let g(z) = -z**2 - 5*z + 10. Let y be g(2). Suppose -30 = 4*h - 114. What is the remainder when (-3 + 5 - 16)*-4 - y is divided by h?
18
Let h = -7140 - -7153. Let g(q) = 2*q**2 - 3*q + 7. What is the remainder when g(5) is divided by h?
3
Let z = 257 - 96. Suppose -3*l = 11 - z. Let t(n) = -7*n - 3. What is the remainder when l is divided by t(-2)?
6
Suppose -32*h - 3*a = -27*h - 1269, -3*h - 4*a + 757 = 0. What is the remainder when 3313 is divided by h?
253
Let b(t) be the third derivative of -t**6/120 + 4*t**5/15 - 7*t**4/4 + 11*t**3/3 + 30*t**2 - 2*t. Calculate the remainder when b(12) is divided by 25.
19
Suppose 2*p = 3*y - 6, -3*p - 7 = 5*y + 2. Suppose y = 3*g - g - 4, 2*j - 5*g = -8. Calculate the remainder when 59 is divided by j.
0
What is the remainder when 129 is divided by (-42 + 44)/(4/54)?
21
Suppose 0*c - 2 = -2*c - 2*a, 2*a = 4. Let i = 36 - c. Calculate the remainder when i is divided by 5.
2
