t) be the first derivative of t**3/6 + t**2 + 2*t - 5. Let r(i) be the first derivative of y(i). What is the remainder when r(4) is divided by 4?
2
Let z = 4 + -46. Let y = z + 170. Let j = -22 + y. What is the remainder when j is divided by 27?
25
Let n = -640 + 456. Let w = -129 - n. What is the remainder when 108 is divided by w?
53
Suppose 0 = -2*z - k + 163, 2*z + 7*k - 178 = 9*k. What is the remainder when z is divided by 43?
41
Let x(d) = 15*d**2 + 36*d - 493. What is the remainder when x(12) is divided by 14?
13
Let m(i) = i**2 + 4*i - 15. What is the remainder when m(-12) is divided by (-73)/(-6) - (-12)/(-72)?
9
Suppose -5*z = u - 11, 4*z - 10 = 2*z + u. What is the remainder when 12 is divided by z?
0
Let b be (-2 - 1)/((-3)/2). Let t = 3 + b. Suppose 284 = t*r - 2*s, 0 = -0*r - r - 3*s + 67. Calculate the remainder when r is divided by 30.
28
Let y be (37/(-3) - 1)/((-34)/255). Let h = y + -54. What is the remainder when h is divided by 24?
22
Suppose 184 = -6*g + 8*g + 2*h, 4*h + 344 = 4*g. What is the remainder when g is divided by 16?
9
Let b = 3 - -4. Suppose 57 = 4*a - b. Calculate the remainder when (-1)/(-2) - ((-855)/6)/5 is divided by a.
13
Suppose 6*g = -64 + 844. What is the remainder when g is divided by 27?
22
Let h = 225 - 220. Calculate the remainder when h is divided by 2.
1
Let a = 0 - -237. Let d(t) = 6*t. What is the remainder when a is divided by d(8)?
45
Suppose -3*b - 24*b = -1242. What is the remainder when 274 is divided by b?
44
Suppose 8*y + 156 = 468. Calculate the remainder when y is divided by -5*(-1)/1*280/100.
11
Let n(i) = i**3 + 11*i**2 + 11*i + 9. Let s be n(-10). Let m be s + 0 + 37 - 4. Calculate the remainder when 49 is divided by (-16)/4 + -2 + m.
23
Let q = 11 - 17. Let n be (-28)/42 - (-14)/q. What is the remainder when 13 is divided by (n/(-2))/(6/16)?
1
Let s(d) = 6*d**3 - d**2 - d. Let g be s(-1). Let b = g + -7. Calculate the remainder when (0 - -3 - b) + -3 is divided by 8.
5
Suppose 0 = -59*d + 64*d - 325. What is the remainder when d is divided by 22?
21
Suppose 0 = 11*p - 6*p - 420. Let q = p + -7. Calculate the remainder when q is divided by 16.
13
Suppose -2*h = 3*h - 40. Let q be (238/h)/(3/12). Suppose -5*o + o + 96 = -3*t, 4*t = 5*o - q. What is the remainder when o is divided by 15?
12
Calculate the remainder when 63 is divided by (-150)/120 - (1 + (-87)/12).
3
Let y(z) = -11 + z**3 + 4*z - 2*z + 3 - 6*z**2. Let h be y(6). Suppose t - 4 - 3 = -3*i, h*t - 28 = -i. Calculate the remainder when 12 is divided by t.
5
Let w = 187 + -121. Suppose -2*i - 2*k = -3*k - 43, w = 3*i - 3*k. Let v(d) = -2*d + 22. Calculate the remainder when i is divided by v(5).
9
Let h = -2 - -8. Suppose 18 = r - 5. Let z = r - h. Calculate the remainder when z is divided by 10.
7
Let v(y) = -6*y**3 - 2*y**2 + y + 2. Suppose 3*h - g + 4*g - 18 = 0, -4*h = -4*g. What is the remainder when v(-1) is divided by h?
2
Suppose 5*w - 20 = 0, 0 = 2*m - 6*m - w + 20. Suppose -m*x = x - 260. What is the remainder when x is divided by 27?
25
Let k = -656 + 997. What is the remainder when k is divided by 15?
11
Calculate the remainder when 3 + -7 + 3/((-6)/(-62)) is divided by 10.
7
Let w(h) = -3 + 2*h + 13 - 6*h. Let a be w(6). Let n = a + 20. What is the remainder when n is divided by 4?
2
Let f = -49 + 57. Let s = -109 - -115. What is the remainder when f is divided by s?
2
Suppose -35*n = -40*n + 200. What is the remainder when n is divided by 32?
8
Suppose 26*y - 408 = 23*y. Calculate the remainder when y is divided by 28.
24
Let q(r) = 27*r**2 - 7*r + 6. Let l(z) = 91*z**2 + 1. What is the remainder when l(-1) is divided by q(1)?
14
Let z(i) = 3*i**2 + 7*i + 36. Let l(m) = 2*m**2 + 3*m + 19. Let n(h) = 10*l(h) - 6*z(h). Calculate the remainder when n(-3) is divided by 18.
10
Let d = -11 + 28. Calculate the remainder when (-2)/3 + (-420)/(-9) is divided by d + -2 - (-9)/(-3).
10
Let z(d) = 2*d + 1 - 9 + d**2 - 3*d. Suppose j + 0 = 9. What is the remainder when z(-6) is divided by j?
7
Let x(d) = -d**2 + 14*d - 23. Let o(z) = 9*z**2 + 3*z - 1. Let f be o(1). What is the remainder when 57 is divided by x(f)?
7
Let p(h) = h**3 + 6*h**2 - 2*h - 1. Let r be p(-6). Let l = r + 13. Calculate the remainder when l is divided by 5.
4
Calculate the remainder when 77 is divided by (-4 - -96)*(-2)/(-8).
8
Let g = -15 - -21. Suppose 10913 = 7*f + 32312. Calculate the remainder when g/(-27) - f/27 is divided by 29.
26
Let k(f) = -2*f - 22. Let z be k(0). Calculate the remainder when ((-11)/z)/((-1)/(-54)) is divided by 10.
7
Suppose 2*t + 2*p - 74 = -2*p, 0 = 2*t - p - 79. Calculate the remainder when 98 is divided by t - 20 - 1*-1.
18
Let f = 2887 + -2819. What is the remainder when f is divided by 10/(-4)*(-14)/5?
5
Let q(f) = 2*f**2 + 8*f - 171. What is the remainder when q(-15) is divided by 10?
9
Suppose y + 5*f - 68 = 0, 0 = -8*f + 5*f + 15. What is the remainder when y is divided by 6?
1
Let f = -2 - -2. Suppose -r + 2*j + 6 + 6 = 0, 3*r + 3*j - 9 = f. Suppose r*x + 1 - 19 = 0. What is the remainder when 9 is divided by x?
0
Suppose 133 = 3*i + 4*n, 4*i - 5*n = 7*i - 131. What is the remainder when i is divided by 27?
20
Let n be (-48)/16 - 1*-7. Calculate the remainder when 101 is divided by (26/n)/(17/68).
23
Suppose 3*d + 2*d = 15. Suppose 5*h - d = 12. What is the remainder when 48 - (7 - h)/(-4) is divided by 26?
23
Suppose -d + 7 = -a, -4 = 5*d + 5*a + 1. Let p(f) = -f**3 + 3*f**2 + 2*f + 5. Calculate the remainder when 43 is divided by p(d).
10
Suppose -5*m - 3*f = -130, -5*m - 2*f + 35 = -95. What is the remainder when 77 is divided by m?
25
Suppose 42 = -5*g + 3*p, -5*g + 2*p = 4*p + 22. Suppose 2*q = 3*q - 2. Let i = q - g. What is the remainder when i is divided by 3?
2
Let b be (2/3)/(217/42 + -5). Suppose 0 = -b*c + 4*z + 28, -2*z + 3 - 7 = 0. Calculate the remainder when 6 is divided by c.
1
Let o(y) = y**3 + 2*y + 670. Calculate the remainder when o(0) is divided by 11.
10
Let u(t) = t + 15. Suppose 0 = -5*h + 20 - 5, x + 3*h = -5. Let a = x + 18. What is the remainder when u(-8) is divided by a?
3
Suppose -5*h + 67 = -2*j, -80 = -4*h + 5*j - 10*j. Let d = 1308 + -1305. What is the remainder when h is divided by d?
0
Suppose -z + 18 = 14. Suppose 8 = 6*k - z*k. Suppose 0 = 3*w + 5*x + 2, -4*x - 10 = -5*w + x. What is the remainder when k is divided by w?
0
Suppose 0 = 44*l - 41*l - 126. Let v be (-3 - -1)/(-6)*-3. Let s(x) = -9*x. Calculate the remainder when l is divided by s(v).
6
Let y = 40 + -19. Suppose 7*c = 2515 - 205. Calculate the remainder when y is divided by c/27 + (-2)/9.
9
Let j = 79 - 32. What is the remainder when j + (-4 - (-4 - 0))/1 is divided by 12?
11
Suppose 4*j - 1494 = -2*b, -j - j - 2*b = -746. Calculate the remainder when j is divided by 78.
62
Suppose -30 = -2*l + 3*p, 5*p = -l - 2*l + 7. Let m be (20/6)/((-12)/18). What is the remainder when 8 is divided by (m/3)/((-3)/l)?
3
Let c = -13 + -21. Let s = c + 40. What is the remainder when 13 is divided by s?
1
Let r be 188/3 - 2/(-6). Let p = r - 33. Suppose 8*v - 16 = 7*v. What is the remainder when p is divided by v?
14
Let u = 245 + -165. Let y(w) = -25*w. Let t be y(2). Let n = u + t. Calculate the remainder when n is divided by 11.
8
Let s = -4 - -7. Suppose -5*z + 0*z - 5 = 5*l, 4*z = 3*l + s. Suppose 3*o - 6*o + 24 = z. Calculate the remainder when o is divided by 3.
2
Let k = -24 + 24. Suppose -1800 = -4*f - k*c - c, 0 = -5*c. Suppose s = 7*s - f. Calculate the remainder when s is divided by 26.
23
Suppose 94 = 3*s + 40. Calculate the remainder when 1*(-1 + 2 + 48) is divided by s.
13
Suppose 80*j - 1302 = -96*j + 458. Let q = -6 - -8. Suppose 60 = q*y + 4. What is the remainder when y is divided by j?
8
Suppose 147*l = 124*l + 24380. What is the remainder when l is divided by 9?
7
Suppose -5*p + 0*f - 4*f + 182 = 0, -4*p + f = -154. Let t be 52*(550/(-360) - (-2)/(-9)). Let l = t - -111. Calculate the remainder when p is divided by l.
18
Let m(q) = -8*q - 3. What is the remainder when 24 is divided by m(-2)?
11
Suppose 14*z = 3*z + 319. Suppose -27*t + z*t - 68 = 0. Calculate the remainder when t is divided by 12.
10
Suppose -5*u - 1680 = 9*u. Let g = u - -147. What is the remainder when g is divided by 10?
7
Suppose 2