is the remainder when r(b) is divided by q?
16
Let u(s) be the first derivative of 2*s**3 - 3*s**2/2 - 2*s + 10. Suppose 90 = 5*t - 0*t. Calculate the remainder when t is divided by u(-1).
4
Suppose 7 = 4*k - 13. Let j = -4 + 9. Suppose j*r - 115 = -k*b, 6*b - 4*r - 160 = b. Calculate the remainder when b is divided by 15.
13
Let v = 638 - 626. What is the remainder when 1221 is divided by v?
9
Let u be 0/(-1) + (-3135)/(-11). Suppose u = 11*m - 8*m. What is the remainder when m is divided by 24?
23
Let d(h) = h**2 + 8*h - 7. What is the remainder when 479 is divided by d(2)?
11
Let c(o) = 11*o**2 + 4*o + 4. Let j be c(3). Suppose 0*i + 4*a = i - 56, 0 = 2*i - 5*a - j. What is the remainder when i is divided by 31?
29
Let h = -2 + 2. Let z be 3 - ((-4)/10 - (-14)/10). Suppose z*p = -h*p + 56. What is the remainder when 82 is divided by p?
26
Let u(x) = -x - 13. Let b(g) = 2*g + 25. Let m(y) = 6*b(y) + 11*u(y). Let z be m(-6). What is the remainder when (-1)/((-3 + z)/48) is divided by 13?
11
Let k = 15 + -28. Let s = k - -24. What is the remainder when (-186)/(-9) + (-1)/(-3) is divided by s?
10
Let a = 31 - 28. Suppose 5*j - 10 = 0, l - 328 = -a*l + 2*j. Suppose 0 = -2*o - 3*m + l, o - 7*m - 58 = -3*m. What is the remainder when o is divided by 8?
6
Let r = 39 + 520. Calculate the remainder when r is divided by 40.
39
Suppose -4 + 0 = -f. Let l be (-396)/(-14) - 6/21. What is the remainder when f/14 - (-1616)/l is divided by 20?
18
Let d = -27 - -169. Calculate the remainder when d is divided by 38.
28
Let p(n) = 2*n - 24. Let m be p(14). Suppose -4*z + 3*y + 86 = 0, -z = 4*z + m*y - 123. What is the remainder when 67 is divided by z?
21
Let l = -302 + 426. Let g = 33 - 21. What is the remainder when g is divided by l/16 - 3/4?
5
What is the remainder when 95 is divided by 10/(70/259) + (5 - 4)?
19
Let l(f) = -f**2 - 9*f - 22. Let j be l(-6). Calculate the remainder when 73 is divided by j/18 + 9/(243/438).
9
Let n(m) = 2*m**2 - 2*m + 8. Let z(u) = 4*u + 23. Let h be z(-5). Calculate the remainder when 57 is divided by n(h).
17
Let c = 6 + 7. Calculate the remainder when c is divided by 3*(-25)/(-15)*1.
3
Suppose 0 = -8*x + 5*x + 9. Calculate the remainder when x - (10/15 + 65/(-3)) is divided by 14.
10
Suppose g - 6*g - 4*m = -140, -m = 3*g - 77. Suppose 0 = o + 3*o - g. Suppose 22 + 8 = o*n. What is the remainder when 8 is divided by n?
3
Let r(h) = h. Let z(k) = 8*k - 4. Let c(a) = -6*r(a) + z(a). Let n be c(3). Suppose -3*o = -1 - n. What is the remainder when 5 is divided by o?
0
Let o(g) = g - 6. Let b be 42/(-4)*(-1 + -1). What is the remainder when 25 is divided by o(b)?
10
Calculate the remainder when 135 is divided by (-10)/(-4)*(1 + (-73)/(-5)).
18
Let i(k) = k**3 - 22*k**2 + 22*k - 22. Let y be i(21). What is the remainder when 32 is divided by (-9)/y*(-308)/(-198)?
4
Let a(h) be the third derivative of -h**4/8 - 4*h**3 + 8*h**2. What is the remainder when 100 is divided by a(-20)?
28
Let l(c) = -2 - 3*c + 2*c**2 - 4*c**2 + c**2 - 10*c**3. Let y = -376 + 375. What is the remainder when 48 is divided by l(y)?
8
Let r(j) = -12*j - 72. Calculate the remainder when 586 is divided by r(-7).
10
Let r(d) = 28*d**2 - 13*d - 13. What is the remainder when 106 is divided by r(-1)?
22
Let x = 6 - -53. What is the remainder when x is divided by 184/6 - 280/(-210)?
27
Suppose 0 = 4*p - 3*p. Suppose p*t + 2*t = 54. What is the remainder when 78 is divided by t?
24
Suppose 5*c + 96 = h, -2*c + 5*h + 13 - 56 = 0. Let f = 10 - c. What is the remainder when f is divided by 4?
1
Let h(a) = a**3 - 7*a**2 - 9*a. Suppose 0 = -9*c + 230 - 77. What is the remainder when h(9) is divided by c?
13
Let m(n) = -n**3 - 13*n**2 - 13*n - 1. Let k be m(-12). Let a = k - 7. Let s = a - -2. What is the remainder when 11 is divided by s?
5
Let x be -1 + (-1)/(-2) - (-4709)/(-34). Let b = 171 + x. Calculate the remainder when 127 is divided by b.
31
Let y = -88 - -100. Suppose -p - k - 172 = -6*p, 47 = p + 4*k. What is the remainder when p is divided by y?
11
Suppose -1320 = -18*d + 3*d. What is the remainder when 344 is divided by d?
80
Suppose 104 = 38*f - 42*f. Calculate the remainder when (-268)/(-7) + (-4)/14 is divided by (-2)/4*1*(f + 0).
12
Let p = -19 + 19. Suppose -v + 8*v - 238 = p. Calculate the remainder when v is divided by 12.
10
Let b(q) = q**2 - 10*q. Let v be b(8). Let i = 23 + v. Suppose 4*g + i = 5*g. Calculate the remainder when 13 is divided by g.
6
Let a(u) = 2*u**2 - 3*u - 8. Let d = 18 - 8. Let z be a(d). Calculate the remainder when ((-4)/12)/((-2)/z) is divided by 7.
6
Let z = 378 + -315. What is the remainder when z is divided by 32?
31
Let k = 20 - -193. Calculate the remainder when k is divided by 72.
69
Let u = -611 - -632. Calculate the remainder when 43 is divided by u.
1
Suppose -g + 2*c + 154 = -23, 0 = -3*g - 2*c + 555. Calculate the remainder when g is divided by 56.
15
Suppose 2*f - 3 = -s - 2, 4*s - 14 = 2*f. Suppose 7 = -j + 5*u - 10, -3*j - s*u - 15 = 0. What is the remainder when 1/j + 368/28 is divided by 7?
6
Suppose 3*l - 4*x + 1 - 25 = 0, 24 = 3*l + 5*x. Let b be 366/4 + (-2)/(-4). Let d = b + -63. Calculate the remainder when d is divided by l.
5
Suppose 8*q - 382 = 10. What is the remainder when 291 is divided by q?
46
Let u be 1/((-9)/92) - 4/(-18). Suppose 2*b + 0*b = -4. Calculate the remainder when b/u + (-2296)/(-70) is divided by 5.
3
Suppose -d + 0*d + 2 = 0. Suppose -33*w + 12 = -29*w. What is the remainder when w is divided by d?
1
Suppose -310 + 240 = -10*r. Calculate the remainder when 61 is divided by r.
5
Let q(r) = 38*r**2 - 2*r - 1. Calculate the remainder when 48 is divided by q(1).
13
Suppose m - p + 1 - 5 = 0, 2*p = -5*m + 41. Calculate the remainder when 39 is divided by m.
4
Suppose 640 + 11 = 7*m. What is the remainder when m is divided by 48?
45
Let p(j) = 7*j - 28. What is the remainder when 547 is divided by p(24)?
127
Suppose 2*w - 90 = 2*m, 7*w = 8*w - 2*m - 49. Suppose -2*t = -5*h + 390, 4*h + 2*t = t + 325. What is the remainder when h is divided by w?
39
Let a(b) = 3*b**3 - b**2 + 1. Let y be a(1). Let p be y/(-9)*0*-1. Suppose p = -d - d + 54. Calculate the remainder when 79 is divided by d.
25
What is the remainder when 2724/54 + 12/(-27) is divided by 20?
10
Let m = -89 - -105. Suppose 0 = 5*k - 68 - 62. What is the remainder when k + (-2)/2*-3 is divided by m?
13
Let w(z) = z**3 - 12*z**2 + 19*z + 13. Let m be w(10). Suppose 159 = m*x + 3*g, 0*g + 253 = 5*x + 2*g. What is the remainder when 146 is divided by x?
48
Let d(o) = -2*o**2 - 25*o - 16. What is the remainder when d(-11) is divided by 13?
4
Suppose 0 = -6*z + 151 - 67. Calculate the remainder when 305 is divided by z.
11
Let x(z) be the first derivative of -2*z**3/3 + 10*z**2 + 5*z + 15. Calculate the remainder when x(10) is divided by 3.
2
Let i(y) = 21*y**3 - y**2 - 27*y + 45. Calculate the remainder when i(2) is divided by 38.
3
Let v be (-12 - -2) + 0/(-2). Let d be (-5)/(v/4) - -1. What is the remainder when 50 is divided by (-2)/d - (-212)/12?
16
Let b = 21 - 19. Suppose r + b*h - h - 77 = 0, 4*h = -3*r + 233. What is the remainder when r is divided by 19?
18
Let x = 50 + -32. What is the remainder when 56 is divided by x?
2
Let v(p) = 3*p + 96. What is the remainder when v(16) is divided by 38?
30
Let o(t) = t - 2. Let w be o(8). Let q(n) = 20*n**2 + 5*n - 13*n**2 + 7*n**3 - 11 - 8*n**3. What is the remainder when q(w) is divided by 19?
17
Let a(v) = 3*v**2 - 15*v - 25. Calculate the remainder when a(8) is divided by 37.
10
Suppose -196*p = -202*p + 642. Calculate the remainder when p is divided by 34.
5
Suppose p + 111 = 5*r - 17, -4*p = -3*r + 87. Suppose -254 - 270 = -3*l - 2*u, -2*l = 3*u - 356. What is the remainder when l is divided by r?
22
Let v be 12*(8/(-12))/(-2). What is the remainder when v/(-8)*-278 - -2 is divided by 36?
33
Let d = -33 - -63. Calculate the remainder when (-17 + (-520)/(-30))*447 is divided by d.
29
Suppose 9*y + 24 = i + 4*y, -2*i + y + 93 = 0. Let h = i + -27. Calculate the remainder when 104 is divided by h.
16
Let h = -176 - -219. Calculate the remainder when 85 is divided by h.
42
What is the remainder when 628/9 + 110/495 is divided by 38?
32
Calculate the remainder when (-1941)/(-