- 12 = s*p. Suppose -11*q + 4*q + 91 = 0. Calculate the remainder when q is divided by p.
1
Suppose 5*a - 18 = 22. Let p = -290 - -293. Calculate the remainder when p + 28/(-6)*1*-6 is divided by a.
7
Suppose -832 = 4*d - 8*d. Suppose -4*j + 2*z = -d, 5*j - 2*z = z + 259. Calculate the remainder when j is divided by 11.
9
Let o(b) = -4634*b**3 + 4*b**2 + 20*b + 18. What is the remainder when o(-1) is divided by 17?
12
Let z(b) be the first derivative of -b**3/3 + 18*b + 70. What is the remainder when (-9)/((-3)/(-2)*-1) is divided by z(-4)?
0
Let d(f) = -30 + 27 - 7*f + 11*f - 36. What is the remainder when d(16) is divided by 6?
1
Suppose 4*i - 8 = 4*o + 88, o - 4*i + 18 = 0. What is the remainder when (-4)/o - (-5344)/416 is divided by 11?
2
Suppose 4*s - 26*x + 24*x = 3240, 0 = -5*s + 5*x + 4060. Calculate the remainder when s is divided by 202.
0
What is the remainder when (233 - 234)*(0 - 1597*1) is divided by 32?
29
Suppose -3*f - 4*q + 18 = -29, -5*q - 41 = -f. Suppose 0 = 5*v - 2*v - f. Let s = -33 - -48. What is the remainder when s is divided by v?
1
Suppose 0 = -202*t + 214*t + 1524. Let w = 423 + t. Calculate the remainder when w is divided by 15.
11
Let c(i) = 2*i + 7. Let l be c(-9). Calculate the remainder when 84 is divided by (-4)/((-1)/(3*l/(-6))).
18
Suppose -103 = -3*c - y, -2*c + 46 = -0*c - 5*y. Suppose -4*r = 24*u - 1156, 0 = -7*r + 3*r - 3*u + 1177. What is the remainder when r is divided by c?
31
Suppose z - 3*l - 44 = 0, 148 = 67*z - 64*z - l. What is the remainder when 461 is divided by z?
11
Let r(i) = 17*i - 294. Let p be 26/2145*11 - (-313)/15. Calculate the remainder when 109 is divided by r(p).
46
Let c = 2058 - 1942. What is the remainder when 372 is divided by c?
24
Suppose -129*a + 124*a + 4*p = -953, 7*a - 4*p - 1331 = 0. What is the remainder when a is divided by -2 + 7/((-14)/(-100))?
45
Suppose 60*v = 6623 + 16837. What is the remainder when 792 is divided by v?
10
What is the remainder when 81 is divided by 21/(-4)*((-115)/15 + 5/1)?
11
Let w(s) = -s + 33. Let b be w(15). Let u be b/12 + -2*(-2)/(-8). Calculate the remainder when 0 + u + 3*(8 - -3) is divided by 12.
10
Let l(s) = 2*s**2 + 55*s - 160. Let x(h) = -2*h**2 - 39*h + 36. Calculate the remainder when l(-31) is divided by x(-20).
9
Suppose 77 = -8*c - 3*c. Let n(v) be the third derivative of v**5/30 + 7*v**4/24 - 4*v**3/3 + v**2. What is the remainder when 122 is divided by n(c)?
40
Let y = -3 + 31. Let c be (-1)/(1/18*3). What is the remainder when (27*-1)/(2/(36/c)) is divided by y?
25
Let l be 172/(-20) - (-6)/10. Calculate the remainder when 317 is divided by -4 - -3 - l - -46.
52
Let m(w) = 5*w**3 + 7*w - 5. Let i be m(4). Suppose 15*y + 18732 - 18732 = 0. Suppose y*u = 7*u - i. What is the remainder when u is divided by 17?
15
Calculate the remainder when 956 is divided by 3/(-2)*4*(3 - (-8 - -16)).
26
Suppose -6*k + m + 280 = -5*k, 0 = 3*m + 6. Calculate the remainder when k is divided by 14.
12
Calculate the remainder when (36/45)/(13/(-7 - -21977)) is divided by 183.
71
Let c = -8 + -45. Let m = c - -142. Calculate the remainder when m is divided by 1 - (-4 + -20 + 1).
17
Let q(n) = 10 + 15*n**2 - 39778*n**3 + 39777*n**3 - 2. Calculate the remainder when 111 is divided by q(15).
7
What is the remainder when 10/7*(761 + (-9 - -11)) is divided by 216?
10
Let p = -7838 + 8913. Calculate the remainder when p is divided by 68.
55
Suppose 22*t - 921 = 1067 + 4810. Calculate the remainder when 949 is divided by t.
22
Suppose 5*l - 1719 = -z - 3*z, -1359 = -4*l - 5*z. What is the remainder when 1395 is divided by l?
342
Suppose -5*u = -3*w + 15, -w + 2*u = 3*w - 6. Let h(v) = -v + 13. What is the remainder when h(w) is divided by (-6)/(-3 + 4) - -3 - -7?
1
Let r(q) = -q**3 + 16*q**2 - 12*q + 10. Let d be r(15). Let v = 56 - d. Calculate the remainder when 399/7*(0 + v) is divided by 12.
9
Suppose -62 = -143*z + 142*z. Let d = z - 34. Suppose 0 = -7*q + 3*q + d. Calculate the remainder when 18 is divided by q.
4
Let j(r) = 42*r - 360. What is the remainder when 671 is divided by j(14)?
215
Let t(o) = -41 - 2*o - 12*o + 0*o + 0*o. What is the remainder when 59 is divided by t(-4)?
14
Suppose -4*v - 2*u = -4, -4*u + 1 - 3 = 3*v. Suppose -45 = -v*d - 9. Calculate the remainder when 20*(-1 + (-65)/(-25)) is divided by d.
14
Let s(i) = -17*i**3 - i**2 + 2*i + 2. Let g be s(-1). Suppose d = 14 + g. Calculate the remainder when d is divided by 4.
2
Suppose 8880 = -45*f + 46*f. What is the remainder when 221 is divided by (-6)/(-8)*f/90?
73
Let u = -1423 - -1999. Let j = u - 571. Calculate the remainder when 34 is divided by j.
4
Let s(b) = b**3 + 21*b**2 + 4. Let u be s(-21). Suppose -u*m - 5*g = -3*g - 2104, 4*m - 4*g - 2116 = 0. What is the remainder when m is divided by 53?
50
Suppose -30*n + 31*n = 49*n - 16320. Calculate the remainder when n is divided by 309.
31
Calculate the remainder when 213 is divided by ((-36)/90)/(2/(-355)).
0
Let m = -11 - -19. Suppose 0 = -r - 2*z + m, -r + 4*z = 8*z - 12. Suppose -26 = r*t - 6*t. Calculate the remainder when 139 is divided by t.
9
Suppose 1318*r + 53824 = 1382*r. What is the remainder when r is divided by 217?
190
Suppose 357*q + 179 = 1183 + 424. Let l(j) = 12*j**2 + 4*j + 2. Calculate the remainder when l(-3) is divided by q.
2
Let y(w) = 2*w**2 + 86*w + 138. Let o(h) = 38*h**2 - 4*h + 3. Calculate the remainder when y(-42) is divided by o(1).
17
Let r(g) = -g**2 - 5*g. Let a be r(0). Suppose 4*v - 20 = 0, a = -t + 4*t + v - 101. Calculate the remainder when t is divided by 18.
14
Suppose 38*k + 4284 = 10*k. Calculate the remainder when 6/27 - 9299/k is divided by 31.
30
Suppose 474 = 4*v + z + 382, -2*z + 100 = 4*v. Suppose -2*b + 178 + 16 = 0. What is the remainder when b is divided by v?
13
Let r(v) = -2*v**2 + 110*v - 120. What is the remainder when 1374 is divided by r(53)?
86
Let p(t) = -t**2 - 23*t + 11. Let a(l) = -13*l + 53. Let i be a(5). What is the remainder when p(i) is divided by 37?
32
Let i = 3138 - 1823. What is the remainder when i is divided by 226?
185
Suppose -l = -3*k + 39 + 2, 5*k - 3*l - 63 = 0. Suppose 29*p - k*p - 1288 = 0. Suppose 2*i + 0*i - 62 = 0. Calculate the remainder when p is divided by i.
30
Suppose 8*m + 2104 = -0*m. Let j = m + 316. Calculate the remainder when j is divided by 7.
4
Let u = 12917 + -131. What is the remainder when u is divided by 278?
276
Suppose -5*q = 27 - 142. Calculate the remainder when q is divided by 19 - (-1)/((-483)/(-70) - 7).
5
Let w(s) = -48*s + 1071. What is the remainder when w(-52) is divided by 5?
2
What is the remainder when ((-1012)/(-4554))/((-4)/(-2178)) is divided by 113?
8
Let a = 121 + -100. Calculate the remainder when 1509 is divided by a.
18
Let k = -85 + 81. Let f be (0 + 2/4)*(k - 14). What is the remainder when (f/2)/(5 + 301/(-56)) is divided by 8?
4
Let c(p) = -p**3 + 9*p**2 + 10*p - 24. Let v be c(8). Let g = 143 - v. Calculate the remainder when 41 is divided by g.
18
Let f(v) = v + 4. Let p be f(-6). Suppose -111*y + 6723 = 51*y + 87*y. Calculate the remainder when (39/6)/(p/(-16)) is divided by y.
25
Let n = 106 - 49. Suppose -78*p = -74*p + 178 - 214. Calculate the remainder when n is divided by p.
3
Suppose 59*t + 54*h - 19329 = 58*h, 3*t = -2*h + 963. Let p(u) = -3*u**3 + 2*u + 1. What is the remainder when t is divided by p(-2)?
12
Suppose 5*x + s = -24, -5*x + s - 6 - 10 = 0. Calculate the remainder when 52 is divided by 212/26 + x/26.
4
Let v(r) = -7*r - 151. Let l = -680 + 656. What is the remainder when 47 is divided by v(l)?
13
Let f(w) = 90*w - 125. What is the remainder when 215 is divided by f(2)?
50
What is the remainder when (-57)/(32/72*9/(-12)) is divided by 32?
11
Let q(p) = 66*p**3 + 4*p**2 + 8*p - 19. Calculate the remainder when q(3) is divided by 11.
8
Let i = 35 - 32. Let z(l) = -519*l**2 - 3*l**3 + i + 20 + 520*l**2. Calculate the remainder when 112 is divided by z(0).
20
Suppose 0 = 4*g - 1234 - 642. Let b(j) = -6 - g*j + 0 + 472*j. What is the remainder when b(7) is divided by 8?
7
Suppose i = -3*g + 547, -1106 = 66*i - 68*i - 4*g. What is the remainder when i is divided by 185?
10
Suppose -592 = -2*x - 4*q, -24*x + 906 = -21*x - 3*q. Calculate the remainder when x is divided by 29.
10