4. What is the remainder when q(-16) is divided by 34?
32
Let u = -43 + 43. Suppose u = -4*x + 3*x + 3. What is the remainder when 7 is divided by x?
1
Suppose -46 = -9*q - 10. Calculate the remainder when q is divided by 24/10 + (-8)/20.
0
Suppose 7 + 2 = 3*j. Suppose 0 = 4*n - 4. Let d = j + n. Calculate the remainder when d is divided by 2.
0
Suppose 4*h + g = -48, 2*g - 8 = 3*h + 28. Let q = h + 27. What is the remainder when 43 is divided by q?
13
Suppose -4*b - 4*y + 115 = -7*y, -5*y = -15. Suppose 0 = -5*z + 19 + 61. Calculate the remainder when b is divided by z.
15
Suppose 15*i = -25*i + 7200. Calculate the remainder when i is divided by 33.
15
Let y be 12/(-10)*(-70)/3. Let v = y + -10. Calculate the remainder when 33 is divided by v.
15
Let a be (2 - 52/12)*(-9)/1. Suppose -99 = 18*h - a*h. Calculate the remainder when h is divided by 18.
15
Let i(f) = -12*f + 16. Let w(l) = l - 1. Let p(h) = -i(h) - 6*w(h). Calculate the remainder when p(8) is divided by 20.
18
Let q = 890 - 704. Calculate the remainder when q is divided by 98.
88
Let g = 1608 - 1568. What is the remainder when 149 is divided by g?
29
Let o(u) = -2*u**3 + 4*u**2 + 6*u - 9. Let h be o(4). Let j = -39 - h. Calculate the remainder when 24 is divided by j.
4
Let g(u) = -u**2 + 2*u + 159. Calculate the remainder when g(-10) is divided by 4.
3
Let n(l) = l**3 + 9*l**2 + 9*l - 1. Suppose -16 = -z - 4*x - 3, 0 = 4*z + 4*x + 8. Calculate the remainder when 64 is divided by n(z).
30
Suppose 3*b - 4*x = 518, 0 = -5*b + 4*x + 636 + 230. Let t = -84 + b. Let d(h) = -15*h + 1. What is the remainder when t is divided by d(-2)?
28
Let b = 60 + -39. Let a(w) = -w**3 + w**2. Let x(r) = 3*r**3 + 15*r**2 - 6. Let o(j) = -4*a(j) - x(j). Calculate the remainder when b is divided by o(19).
3
Let w(v) = 241*v**2 - 19*v - 2. What is the remainder when w(1) is divided by 34?
16
Let x = 611 - 111. Calculate the remainder when x is divided by 63.
59
Let d = 204 + -146. Let f(u) = -u + 1. Calculate the remainder when d is divided by f(-11).
10
Calculate the remainder when 1 - (-1 + -11 + (-1 - -1)) is divided by 3.
1
Let j(l) = 116*l**2 - 5*l + 6. Calculate the remainder when 232 is divided by j(1).
115
Let u(v) = 6*v - 96. Calculate the remainder when 3*4*70/8 is divided by u(18).
9
Let n = -25 + 28. Suppose 0 = -n*k - 2*k + 110. What is the remainder when k is divided by 12?
10
Suppose 2*f - 54 = -0*f. Suppose -l = -3, f = -3*a + 3*l - l. What is the remainder when 21 is divided by (-2)/a - 162/(-21)?
5
Let w(b) = b + 42. Let j(c) = c**3 + 3*c**2 + c + 3. Let h be j(-3). Suppose -5*g + 3*g + 26 = h. Calculate the remainder when w(-19) is divided by g.
10
Let k = -158 - -466. Calculate the remainder when k is divided by 31.
29
Suppose 4*k = o - 246, 3*o + 147 = -5*k + 817. Calculate the remainder when 64 is divided by 2/9 + o/18.
12
Suppose -w + 4*w - 63 = 0. Suppose l - 4*l = -w. Calculate the remainder when l is divided by (1/1*3)/1.
1
Let y(j) be the second derivative of j**4/12 - j**3/2 + 13*j**2 - 16*j. What is the remainder when 106 is divided by y(5)?
34
What is the remainder when 14 is divided by (-18)/(-315)*-5 - (-60)/14?
2
What is the remainder when 27 is divided by (34/51)/(3/54 - 0)?
3
Let j(u) = 2*u**3 - 3*u**2 + 4*u - 3. Suppose 5*q = -5*s + 125, 5*q - 35 = -2*s + 81. What is the remainder when q is divided by j(2)?
4
Let d be (-42)/((-18)/6) - 5. Suppose 5*z + 4*o - d = 0, -5*z + o = -9*z + 16. What is the remainder when z is divided by 2?
1
Let l(n) = -4*n**3 - 38*n**2 + 56*n + 3. What is the remainder when 563 is divided by l(-11)?
111
Suppose -a + 8 = 1. Let s(v) = v**3 + 6*v - 4*v**3 + 4*v**3 - 3 - 3*v**2 - 3*v. Calculate the remainder when s(4) is divided by a.
4
Let b = 257 - 231. Suppose 4*n - 51 - 13 = 0. Suppose 3*s = n + 5. Calculate the remainder when b is divided by s.
5
Let y be 6/18 + (-95)/(-3). Suppose 0 = -b + 2*b - 4*w - y, 2 = b + 2*w. What is the remainder when 47 is divided by b?
11
Suppose 0 = -x - 3*x + 104. Suppose -12 = -103*f - 2 + 299. What is the remainder when x is divided by f?
2
Suppose 2*d = -74*n + 77*n - 314, -4*n + 418 = -3*d. Calculate the remainder when n is divided by 12.
10
What is the remainder when 10057/178*(-108)/(-2) is divided by 109?
108
Suppose 2*y - 737 = 11*u - 10*u, -1835 = -5*y - 5*u. What is the remainder when y is divided by 53?
50
Suppose -3*h - 2*t = 43, 5*h + 3*t = -34 - 38. Suppose -4*y + 57 + 51 = 0. Calculate the remainder when (-10)/h + 626/6 is divided by y.
24
Let n(u) = 16*u - 37. What is the remainder when n(27) is divided by 33?
32
Let r(b) = -b**2 - 2*b - 9. Let v be r(-8). Let l = -37 - v. What is the remainder when 79 is divided by l?
19
Let a(b) = -7 + 9*b - 5*b**2 + 13*b**2 - 5*b + b**3 + 0*b. What is the remainder when a(-7) is divided by 9?
5
Suppose -4*o + 2*o + 30 = 0. Suppose 456 = 26*q - 18*q. Calculate the remainder when q is divided by o.
12
Suppose 5 = 5*p + 4*k - 20, k = -5*p + 10. Calculate the remainder when 21 is divided by (p + 6/10)/((-1)/(-5)).
5
Let t = -31 + 72. Suppose t*x - 174 = 35*x. What is the remainder when x is divided by 6?
5
Let n(f) = f**2 - 21*f - 62. Calculate the remainder when 180 is divided by n(25).
28
Let l(w) = -9*w + 6. Let y(f) = -2*f**2 - 2*f - 5. Let k be y(4). Let n be (-3)/5 + 198/k. What is the remainder when l(n) is divided by 18?
15
Suppose 1 - 36 = -7*d. Suppose d*s - 162 = -3*b, -2*b + 2*s + 108 = -2*s. What is the remainder when b is divided by 7?
5
Let p(t) = 9*t**2 - 13*t + 24. Calculate the remainder when 344 is divided by p(4).
112
Let y = 32 + -29. Let l(f) = f. Let g(d) = -2*d**2 + 6*d - 2. Let r(i) = -g(i) + 4*l(i). What is the remainder when 55 is divided by r(y)?
13
Let l = -1 + 6. Let h = 3 - l. Calculate the remainder when 30 is divided by (6/(-15))/(h/80).
14
Suppose -18 = -0*j - 2*j. Let t be 1*7 + -1 + 8 + -10. Suppose m - t*m + 71 = -4*d, 2*m - 4*d = 46. Calculate the remainder when m is divided by j.
7
Let q(u) = 2*u - 2. Let m be q(6). Let r = m - 5. Suppose 3*c - 33 = -a, -a - 2*a = r*c - 79. What is the remainder when 35 is divided by a?
17
Calculate the remainder when 228 is divided by (-16)/(-56) + 1/((-35)/(-900)).
20
Let b = 277 - 183. Calculate the remainder when 370 is divided by b.
88
Suppose 1 - 9 = -2*l. Suppose -z + 55 = -l*s, z - 1 = -s + 54. What is the remainder when z is divided by 29?
26
Suppose -4*t + i + 5893 = 0, 11*i = -2*t + 6*i + 2941. What is the remainder when t is divided by 9?
6
Let f = 32 - 20. Suppose -208 = -f*k + 8*k. Let y(d) = 26*d**2 + 1. What is the remainder when k is divided by y(1)?
25
Let u(m) be the third derivative of -m**6/120 - m**5/60 + m**4/12 - m**3/3 - 2*m**2. What is the remainder when u(-3) is divided by 7?
3
Let m(c) = -5*c**3 - 9*c**2 + c + 19. What is the remainder when 118 is divided by m(-2)?
13
Let l(p) = 32*p + 1. Let h = 10 + -8. Suppose h*r - 6 = 0, -83 = -3*a - 3*r - 23. Calculate the remainder when l(1) is divided by a.
16
Suppose -5*z + 5 + 5 = 0. Suppose -z*u + 11 = -13. Calculate the remainder when 35 is divided by u.
11
Suppose -3*o + 425 = -3*c + 107, o + 2*c - 121 = 0. What is the remainder when o is divided by 14?
13
Suppose 3*j - 3*y = 7*j - 24, -26 = -2*j - 5*y. Let t = 62 - 55. Calculate the remainder when t is divided by j.
1
Let p be (7 - 1)/(3/76). Let i(a) = -3*a**2 + 22*a. Let x be i(5). Suppose p = 3*b + x. What is the remainder when b is divided by 14?
11
Suppose -2*y + 2 = 0, 13*i - 15*i + y = -119. What is the remainder when i is divided by 28?
4
Let p(t) = -29*t - 76. Calculate the remainder when 372 is divided by p(-3).
9
Suppose 4*s - 2*c = 68, 5*s + 3*c = 4*c + 85. What is the remainder when 133 is divided by s?
14
Suppose -2*u - f = -42, -3*f + 106 = 5*u - 0*f. Calculate the remainder when 1433 is divided by u.
13
Suppose -2*l = 6*l + 8. Let t = l + 55. What is the remainder when t is divided by 19?
16
Suppose -59*r + 253 + 986 = 0. What is the remainder when 55 is divided by r?
13
Let w(m) = -m**3 + 13*m**2 - 21*m + 60. What is the remainder when 269 is divided by w(11)?
56
Let a = 94 + -66. Let h = -17 + a. Let g = 34 + h. What is the remainder when g is divided by 12?
9
Let a = 396 + -335. Calculate the remainder when 65 is divided by a.
4
Suppose 13*i 