 q. Let j(v) = -v**3 + 3*v**2 + 7*v - 6. What is the remainder when a is divided by j(4)?
5
Suppose -806 = -4*v + 2*i, 3*i = 9 - 24. Calculate the remainder when v is divided by (8 + 0)*52/8.
43
Let c = 176 + -204. Calculate the remainder when 105 is divided by (-44)/(-14) + -3 - 500/c.
15
Calculate the remainder when (22/(-3))/(-13 + (-10360)/(-798)) is divided by 69.
4
Let o(k) = k**3 + 18*k**2 + 14*k - 8. Suppose -62 = 3*a + 4*x, -4*a - a = 5*x + 95. Let b be -1*(1 - a) - 2. Calculate the remainder when o(b) is divided by 11.
10
Suppose 11*z = 14 - 256. What is the remainder when 299 is divided by (495/z)/(3/(-8) + 0)?
59
Suppose -4*t - 5*v = -6, 0 = 2*t - 2*v + v - 10. Suppose -3*c - 3 - 3 = 0, 3*d = t*c + 167. Calculate the remainder when d is divided by 14.
11
Let y = 70 + 109. Let h = 248 - y. What is the remainder when 342 is divided by h?
66
Let z(x) = x**2 - 50*x - 652. What is the remainder when 1226 is divided by z(61)?
10
Suppose -3*w - 6 + 35 = 4*s, 4*s - 23 = -w. Let k be 0 - 3 - (s + -10). Let d = 9 - k. What is the remainder when 38 is divided by d?
3
Calculate the remainder when 392 is divided by ((-3339)/(-42))/(54/16 + -3).
180
Suppose 2*i - 5*b - 257 = 0, -43*b = -5*i - 47*b + 593. What is the remainder when 286 is divided by i?
44
What is the remainder when 4527 is divided by ((-90)/63)/(19/57 - 3/7)?
12
Let v(j) = -j**3 + 6*j**2 - 6*j + 25. Let a be v(5). Let t = 29 - a. Calculate the remainder when 97 is divided by t.
7
Let k = 273426 + -273317. Let r = 12 - -22. What is the remainder when k is divided by r?
7
Let f be 0/((20/60)/(2/12)). Suppose f = 11*d - 309 - 4993. Calculate the remainder when d is divided by 22.
20
Suppose -6*l + 18*l - 556 = 80. Calculate the remainder when 474 is divided by l.
50
Calculate the remainder when 373 is divided by -23 - (3 - -18 - 61).
16
Let l be 330/(-99)*(-5 - 1). Calculate the remainder when 77 is divided by (20/15)/(l/390).
25
Suppose -12*u = -3*u - 27. Let p be 19*(-4 + (u - 0)). What is the remainder when 62 is divided by (-18)/(-12) + 2/((-4)/p)?
7
Suppose 8*b - 184 = 88. Let v be (3 + -3 - 3) + 152. Suppose 2*u + g - 4*g = 350, -5*g = u - v. What is the remainder when u is divided by b?
33
Let c(i) be the second derivative of i**4/12 - i**3/6 - 3*i**2/2 + 3*i. What is the remainder when (1 - (-2)/8)/((-3)/624*-4) is divided by c(5)?
14
Let b = 3190 - 3173. What is the remainder when 280 is divided by b?
8
Suppose -5*o = 2*z - 64 - 3, 3*o = 15. Suppose z*v = 29*v - 104. What is the remainder when 101 is divided by v?
10
Let c(h) be the second derivative of -3*h**3 - 55*h**2/2 + 36*h. Calculate the remainder when c(-17) is divided by 11.
9
Let f = 16 + -12. Suppose -50 = -3*j + w, -j + 10 = -6*w + f*w. What is the remainder when 33 is divided by j?
15
Let x(k) = 51*k**2 + 230*k + 1. Calculate the remainder when 385 is divided by x(-5).
7
Let c = -6835 + 7800. Calculate the remainder when 1941 is divided by c.
11
Let v(l) = -30*l - 1. Let d(z) = -59*z - 1. Let o(w) = -6*d(w) + 11*v(w). Calculate the remainder when o(1) is divided by 7.
5
Let h = 99 + 819. What is the remainder when h is divided by 71?
66
Suppose -2*n = 2*y - 30, -3*n - 4*y + 19 + 28 = 0. Suppose n*s - 19*s = -102. What is the remainder when 61 is divided by s?
10
Let l = -46 + -158. Let h = -113 - l. What is the remainder when h is divided by (-471)/(-15) - 4/10?
29
Suppose 2*m + 4*z + 486 = 0, -20 = -0*z - 5*z. Let n = m + 433. Calculate the remainder when n is divided by 46.
44
Suppose 35*l = 23*l + 72. Suppose 0 = -l*y - 109 + 211. Suppose -180 = -4*i - 0. What is the remainder when i is divided by y?
11
Suppose -39*s + 243 + 108 = 0. What is the remainder when 9754 is divided by s?
7
What is the remainder when ((-64)/(-48))/((-4)/(-447)) is divided by 63?
23
Calculate the remainder when 145 is divided by 1 - (-10)/(30/33).
1
Let c = -141 + 149. Suppose 0 = -c*y - 353 + 1289. Calculate the remainder when y is divided by 20.
17
What is the remainder when 2570/(-6)*162/(-135) is divided by 23?
8
Let p(a) = -1 + 251*a - 32 - 127*a + 6*a**2 - 115*a. Calculate the remainder when p(3) is divided by (13/1)/1 + -1.
0
Let x(u) = u**3 - 5*u**2 + 9*u - 5. Let q be x(3). Let t(r) = 3*r**3 + 4*r**2 - 8*r + 12. Calculate the remainder when t(q) is divided by 30.
26
Suppose -19*j + 2390 + 74 = 58*j. Calculate the remainder when 1226 is divided by j.
10
Let u(i) = -6*i - 11. Let n(j) = -j. Let p(r) = -5*n(r) + u(r). Let k be p(-15). Calculate the remainder when 73 is divided by -2 - (-118)/k - 9/6.
21
Calculate the remainder when (-2)/6*-3 + 39 is divided by ((-12)/(-14))/(9/504*8).
4
Let q(c) = -3*c**2 + 30*c + 7. Let u(j) = 6*j**3 - j**2 + 5*j - 3. Let s be u(1). What is the remainder when q(s) is divided by 36?
34
Let n = -4 + -2. Let k be ((-2)/4)/(3/n) + 19. Let t = 34 - k. Calculate the remainder when 26 is divided by t.
12
Suppose 52*x - 87310 - 15910 = 0. What is the remainder when x is divided by 8?
1
Suppose -7*f - 57*f - 14*f = -58344. What is the remainder when f is divided by 23?
12
Suppose -v + 77 = 4*u, -3*v + 205 = -0*v - u. Calculate the remainder when 1100/1 - (-15 + 12) is divided by v.
68
Suppose 5*d + 90 = -40. Calculate the remainder when 84 is divided by (-152)/(-40) + (-3)/(-15) - d.
24
Let g(l) = -8*l + 3 + 1 + 2*l + 8*l. Let d be g(2). Suppose 3*y = -y + d. What is the remainder when y is divided by 2?
0
Let o be 18/5 - 8/(-20). Suppose 3*n - o*n + 170 = 0. Suppose -9*y + n = -4*y. What is the remainder when 99 is divided by y?
31
Suppose -10*a + 48 = -6*a. Suppose 5*p = r + a + 13, -15 = -r - 3*p. Suppose r*b - 11 = -b. What is the remainder when 18 is divided by b?
7
Let u = 7 + -4. Suppose s - u*s = -138. What is the remainder when s is divided by (8 + 308/(-33))/((-2)/21 + 0)?
13
Suppose -3*u + 2957 = -6256. What is the remainder when u is divided by 32?
31
Suppose -26*y + 65*y - 5161 = 26*y. Calculate the remainder when y is divided by 47.
21
Let g(m) = -m**2 - 25*m - 142. Let n be g(-13). Suppose 5*f - 15 = 2*f, 2*b = -2*f + n. Calculate the remainder when 48 is divided by b.
0
Let y = 115662 - 115648. Let g(a) = -10*a + 1. Calculate the remainder when g(-5) is divided by y.
9
Let d be 0/(-1 - -2)*1. Suppose 7*o - 15 - 6 = d. Suppose 268 + 314 = o*w. What is the remainder when w is divided by 28?
26
Let i = -470 + 459. What is the remainder when ((-66)/(-18))/i*-1*477 is divided by 282/7 - 6/21?
39
Let b be 4/(-18) - 172/36. Let x = 1556 - 1529. Calculate the remainder when x is divided by 6 + 0 - 5/b.
6
Let u be 4/(16 - -4) + 2088/(-15). Let h = -119 - u. What is the remainder when ((-237)/(-12))/((-1)/(-4)) is divided by h?
19
Suppose 6 - 1 = 5*w, 0 = 5*n + w + 4. Let h(s) = 4*s - 28. What is the remainder when 0 - -23 - ((-6)/6 + n) is divided by h(9)?
1
Let w be 2286/(-11) + (2023/187 - 11). Let h = w - -211. Calculate the remainder when 7 is divided by h.
1
Let f(n) = n**2 - 14*n - 43. Suppose 5*s + 649 - 609 = 0. What is the remainder when f(s) is divided by 17?
14
What is the remainder when (-9)/((-18)/22) + 13 - 9 is divided by 12?
3
Let z be ((-22)/(-4) - 3)*(-7 - -1). Calculate the remainder when 12801/68 - (z/12)/(-5) is divided by 19.
17
Suppose 2*g + 5*v = 219, -4*v + 2 = -18. Calculate the remainder when g is divided by (-5)/2 + 553*(-4)/(-56).
23
Suppose -4*y = -414 - 634. Let w = 44385 + -44295. Calculate the remainder when y is divided by w.
82
Suppose l - 820 = -4*l. Let c = l + -89. Let m = -5051 + 5064. What is the remainder when c is divided by m?
10
Let s(d) = -263 - 13*d - 19*d**2 + 16*d**2 + 237 - 2*d**3. What is the remainder when s(-5) is divided by 74?
66
Suppose -11*n - 3*a + 18 = -6*n, 3*a = n - 18. What is the remainder when 93 is divided by n?
3
Suppose 5*i - 60 = i. Suppose 93*a - 117 = 106*a. Calculate the remainder when i is divided by 6*(-8)/(-36) - 60/a.
7
Let h be (-62)/(-14) - (-12)/21. Let i be (2 - 40/25)*h/2. Suppose 11 - i = 5*t. What is the remainder when 5 is divided by t?
1
Let l(f) be the second derivative of -3*f**3/2 + 26*f**2 + 81*f. Calculate the remainder when l(-22) is divided by 12.
10
Suppose 46*r - 30000 = -2768. Calculate the remainder when r is divided by 55.
42
Suppose -512 = 78*x - 59*x - 3799. Calculate the remainder when x is di