remainder when a(-8) is divided by p?
2
Let p(a) = -16*a**2 + 19*a + 20. Let g be p(10). Calculate the remainder when 360 is divided by ((-2)/(-3) - g/30) + 5.
48
Let g = 169 + -173. Suppose -2*q - q = -27. What is the remainder when (-29)/(-2) + (4 - (-18)/g) is divided by q?
5
Let x(r) = r**2 - 5*r + 14. Let c = -29 - -36. Let k be x(c). Let g = 37 - k. Calculate the remainder when 51 is divided by g.
6
Suppose 5*b - 462 = 3*d, -131 + 139 = -2*d. Calculate the remainder when 293 is divided by b.
23
Let a(u) = -33 + 68*u - 66*u + 2*u. Let f = -19 - -28. Calculate the remainder when 12 is divided by a(f).
0
Suppose -8*n = -15*n + 105. Suppose 0 = -n*p + 1389 + 561. Calculate the remainder when p is divided by 12.
10
Let x(a) = -3*a + 77. Suppose -265 = -14*q + 71. What is the remainder when 7 is divided by x(q)?
2
Let u(o) = 239*o**2 + 1822*o + 9. Calculate the remainder when u(-8) is divided by 140.
29
Let f be (-4)/(-3 - -1) + 2. Suppose -3*c + c + 10 = -2*b, -b + f = 2*c. Calculate the remainder when ((-125)/(-10))/(c/24) is divided by 17.
15
Let v be (-4)/(-14) - (-1565)/35. Let c = 66 + -50. Calculate the remainder when 55/(-2)*(-72)/v is divided by c.
12
Suppose 55*m + 173*m - 11514 = -75*m. What is the remainder when 3 + 119 + 2 + -1 is divided by m?
9
Let a(z) = -z**3 + 73*z**2 - 251*z + 62. What is the remainder when a(69) is divided by 197?
14
Suppose 5*u - 2*u = -4*l + 7, 3*u - 3*l - 21 = 0. Calculate the remainder when (-1 + u)*(-850)/(-40) is divided by 11.
8
Let v be ((-6)/(-18))/((-2)/12). Let s be (3 + -4 - 61)/v. Suppose 5*r + 2*w - 98 = 0, -27 - s = -3*r - 2*w. Calculate the remainder when 77 is divided by r.
17
Let p(q) = 33*q**2 - 592*q - 33. Calculate the remainder when p(20) is divided by 83.
82
Suppose -7*r + 3*r + 2564 = 0. Suppose 0 = -5*z + o + r, -3*z - 3*o = 76 - 475. What is the remainder when z is divided by 13?
12
Suppose 0 = 1900*j + 2917*j - 3977 - 5657. Calculate the remainder when 2*1/1 + 7 is divided by j.
1
Let g = 5 + 0. Let x = -28 + 9. Let z(f) = -2*f - 36. What is the remainder when g is divided by z(x)?
1
Let d = -656 + 920. Calculate the remainder when 793 is divided by d.
1
Suppose -16*p - f = -21*p + 229, 4*p + 3*f - 206 = 0. Calculate the remainder when 279 is divided by p.
44
Let k = 398 + -242. Suppose -15*b + k = -39. Calculate the remainder when 285 is divided by b.
12
Let q = -257 - -283. Calculate the remainder when (-14)/(-252)*-2 - (-3188)/18 is divided by q.
21
Let x = -37 + 76. Let l(m) = m**3 - 12*m**2 - 32*m + 37. Let c be l(14). What is the remainder when x is divided by -21 - c - (-11 - -3)?
3
Suppose -5*d - 37*t - 20 = -42*t, -2*d = -t + 3. Suppose -6 = 3*b - 0*b. What is the remainder when ((-10)/(-15))/(b/(-18)) is divided by d?
0
What is the remainder when 366 is divided by (65/(-26))/((-25)/1290)?
108
Let x(c) = -c**3 + 4*c**2 + 3*c + 8. Let b(h) = h**2 - 6*h**2 - 3 - 3*h + 6*h**2 - 3. Let u be b(5). What is the remainder when x(u) is divided by 11?
9
Suppose -25*n - 354 = -8*f - 23*n, -3*f + n + 131 = 0. Calculate the remainder when f is divided by 34.
12
Let c(h) = 25*h + 46. Suppose k + 3*k + 4*z = 544, 0 = k - 3*z - 120. What is the remainder when k is divided by c(0)?
40
Let d = -139 - -283. Calculate the remainder when d is divided by 45/20*(-1)/(18/(-48)).
0
Let a be (25 + -33)/(2/(-2)*-1). Calculate the remainder when (69/(-9))/((48/54)/a) is divided by 12.
9
Let s(f) = -6*f - 45. Let u be s(-7). Let n(t) = -34*t - 31. What is the remainder when 278 is divided by n(u)?
65
Let l(u) = 98*u**2 + u. Let w be 4860/110 - ((-18)/22 + 1). Suppose -854 - 246 = -w*i. What is the remainder when l(-1) is divided by i?
22
Let s(m) = -22*m + 44 + 2*m - m**2 + 5*m. What is the remainder when 147 is divided by s(-17)?
7
Suppose -79*b + 91*b = 228. Calculate the remainder when 52/(-1 - (-36)/32) is divided by b.
17
Let b(x) = -2*x - 28. Let t be b(-13). Let a(h) = -h - 1. Let z be a(t). What is the remainder when 178 is divided by z/(((-3)/(-3))/(29 + 1))?
28
Let j(a) = 6*a**3 + 8*a**2 + 2*a + 24. Let t(h) = 5*h**3 + 8*h**2 + 3*h + 25. Let r(d) = 4*j(d) - 5*t(d). Calculate the remainder when 268 is divided by r(-8).
25
Let s(a) = -102*a + 4411. Calculate the remainder when s(28) is divided by 9.
7
Let m(d) = 30*d + 8. Let v be m(-4). Let a = 214 + v. Calculate the remainder when a is divided by 5/(25/(-2)) + (-264)/(-10).
24
Let m = 15 - 3. Let g(w) = 3*w**3 + 16*w**2 + w + 7. Let s be g(-5). Calculate the remainder when (-11)/(3*(-3)/s) is divided by m.
9
Suppose 5*c - 128 = 227. Let f = c + -59. Suppose r - 2*r + 5 = 0. What is the remainder when f is divided by r?
2
Let u = -6 + 10. Suppose -4*y + 159 = y + c, 0 = u*c + 4. Suppose 0 = 4383*w - 4388*w + 25. Calculate the remainder when y is divided by w.
2
Suppose -2*k + 530 = 566. Calculate the remainder when (3 - 156/k)*15 is divided by 16.
15
Let d = 40 - 22. Let k(h) = -6*h + 148. Let r be k(6). Let y = r - 62. What is the remainder when y is divided by d?
14
Let q be 8/(-14) + (-59397)/21. Let l be q/21 - 14/49. Let p = -78 - l. Calculate the remainder when p is divided by 29.
28
Calculate the remainder when (20691/378 - (-10)/(-6)) + (-1)/14 is divided by 3.
2
Let j = 33 - 28. Suppose 3*d - 167 = -u + 2*d, j*u = 3*d + 827. Calculate the remainder when u is divided by 60.
46
Let m = -464 - -999. What is the remainder when m is divided by 67?
66
Let w(q) = q**2 + 4*q - 3. Let p be (-48)/(-28) - 18/(-63). What is the remainder when 41 is divided by w(p)?
5
Let j(n) = -16*n - 69. Let w be j(-6). Suppose w*x + 102 = 29*x. What is the remainder when 251 is divided by x?
47
Let i(f) be the third derivative of f**5/60 + f**4/24 - f**3 + 7*f**2. Let h be i(2). Suppose h*s = 9*s - 324. What is the remainder when s is divided by 8?
4
Suppose 3*t = t - 18. Let a(j) = -8*j**2 + 17*j + 18. Let b be a(3). What is the remainder when (2 + -4)*-3 - t/b is divided by 3?
0
Suppose -2*p = 464 - 965 - 763. Calculate the remainder when p is divided by 13.
8
Let c(w) be the first derivative of 2*w**3/3 - 5*w**2/2 + 3*w + 1. Let g = -2136 - -2141. What is the remainder when c(g) is divided by 6?
4
Let c be (377/2)/(-4 - (-81)/18). Let q = -335 + c. What is the remainder when 207 is divided by q?
39
Calculate the remainder when 80 is divided by 2 + ((-6)/(-66) - 3951/(-99)).
38
Let b = -2260 + 3035. What is the remainder when b is divided by 101?
68
Let h(w) = -13*w - 10. Let o be (5/(-10))/(1/14). Let v(q) = q**3 + 6*q**2 - 8*q - 13. Let l be v(o). Calculate the remainder when h(l) is divided by 14.
12
Suppose -2*o - 724 + 614 = -4*t, -3*t + 93 = 2*o. Calculate the remainder when 3497 is divided by t.
17
Calculate the remainder when (1/(3/(-10)))/(1342/(-203313)) is divided by 266.
239
Let y(v) = -21*v**2 + 74*v - 5. Calculate the remainder when 4660 is divided by y(2).
58
Suppose -471 = -3*h + 3*f, 3*f = -4*h + 8*h - 626. What is the remainder when 634 is divided by h?
14
Let d = -63 + 76. Suppose 3445 + 2561 = d*k. What is the remainder when 2/((-62)/k - 4/(-22)) is divided by 15?
12
Let k be 2/(-2) + -246 + 51/(-17). Let q = k + 284. Calculate the remainder when 67 is divided by q.
33
Let y(u) = -9 + 45*u - 14 - 21 + 1 + 6. What is the remainder when y(3) is divided by 41?
16
Let g(n) = 1703*n + 9971. What is the remainder when g(-5) is divided by 31?
30
Let d(o) = 36. Let f(i) = i - 72. Let g(b) = 5*d(b) + 2*f(b). Suppose -z + 3*z = 4*z. What is the remainder when g(z) is divided by 13?
10
Let n = 2 - -6. Suppose 18*j - 11*j - 658 = 0. Suppose -j - 46 = -5*b. Calculate the remainder when b is divided by n.
4
Suppose -k + 2*x - 7 = 5*x, -4*k - 3*x = 73. Let c = -25 - -129. Let m = c + k. Calculate the remainder when m is divided by 12.
10
Let j(m) = -m**3 + 1. Let f(d) = 8*d**3 + 3*d**2 - 6*d - 14. Let o(t) = -f(t) - 3*j(t). Calculate the remainder when o(-4) is divided by 44.
39
Let c(y) = y**2 + 111*y + 1507. What is the remainder when c(-101) is divided by 9?
2
Suppose -17*m + 16*m = -1874. Suppose m = 9*s + 542. Calculate the remainder when s is divided by 47.
7
Let w(t) = -5*t + 62. Let r be w(0). Suppose r*k = 57*k + 50. Suppose -21 = -u - 5*h + h, 0 = 5*u - 3*h - 174. What is the remainder when u is divided by k?
3
Suppose 9*l + 7272 = 7650