 the second derivative of -i**5/20 + 11*i**4/6 + i**3/6 + i**2 + 16*i. Let u be d(21). What is the remainder when 1*(-2)/(-9) + u/18 is divided by 7?
5
Suppose -i - g = -63, 5*i - 2*g + 6 = 321. Let u = -477 - -509. Calculate the remainder when i is divided by u.
31
Suppose 5*g = 5*y - 4165, y + g - 245 - 590 = 0. Suppose u - 5*n - 127 = 0, 5*u = -n + y - 277. What is the remainder when u is divided by 23?
20
Let o(i) = i**3 - 6*i + 7. Let k be o(2). Suppose 0 = -3*d + 4*t + 202, -d + 6*d - k*t = 322. Calculate the remainder when d is divided by 21.
20
Let p = -30 + 0. Let q = p + 9. Let b = 24 + q. Calculate the remainder when 16 is divided by b.
1
Let a be (21/(-63))/((-1)/(-15)). Let d = 20 + a. Let t = 1986 + -1886. Calculate the remainder when t is divided by d.
10
Let c = 20537 + -20507. Suppose 2*x + x - 36 = 0. Calculate the remainder when c is divided by x.
6
Let i = -294 - -326. Suppose -4*d + 8 = -2*d. What is the remainder when i is divided by d?
0
Let z(v) = v**2 - 63*v + 1075. Calculate the remainder when 7407 is divided by z(28).
92
Suppose 2*d - 2*m - 20 = 0, 0 = 2*d - 5*m - 0 - 5. Suppose 1 = -4*y - 3. Calculate the remainder when (-230)/(-6) + y/3 is divided by d.
8
Suppose l + 0*a - 16 = -2*a, -3*l - 3*a + 39 = 0. Let k be (2 - 0 - 2)/(-1) - l. Let q = k - -15. Calculate the remainder when 17 is divided by q.
2
Let t(c) = 3*c**3 + 4*c**2 + 3*c - 5. Calculate the remainder when t(6) is divided by 54.
49
Suppose -8*c = 5*j - 172, 4*j - 79 - 115 = 3*c. Calculate the remainder when 1185 is divided by j.
41
Let h = -233 - -290. Calculate the remainder when 325 is divided by h.
40
Let m = -20 - -90. Let z(b) = -b + 5. What is the remainder when m is divided by z(-7)?
10
Let v(n) = -2*n**2 - 107*n - 52. Let h be v(-49). Let g = h - -282. What is the remainder when g is divided by 96?
95
Let t(s) = 1. Let f(x) = 55*x - 254. Let n(h) = f(h) + 3*t(h). Let c = -1 + 8. Calculate the remainder when n(5) is divided by c.
3
Let g be (8 - 1)*(-2)/(-7). Let x be g + 2 - 0/(-7). Suppose v = 5, -x*p - v = v - 94. Calculate the remainder when 41 is divided by p.
20
Let r(u) = -u**2 - 27*u + 23. Let c be r(-28). Calculate the remainder when 119 is divided by 1*c - (-18 - -5).
7
Calculate the remainder when 5 - -4 - 152*(0 + -2) is divided by 19.
9
Suppose 79800 = 83*p + 12*p. Calculate the remainder when p is divided by 29.
28
Let y = 250 + -250. Suppose y = -6*h + 37 + 221. What is the remainder when h is divided by 8?
3
What is the remainder when 129 is divided by (-3)/(-1) + (1 + -30 - -29)?
0
Let v(n) = -n**2 - 83*n + 2102. Let f = -7 + 12. Calculate the remainder when v(20) is divided by f.
2
Let h = 75 - -4. Calculate the remainder when h is divided by (-105)/126*(10 + -22).
9
What is the remainder when 76*(30/8 + -3) is divided by ((-3055)/(-188)*4/(-10) - -6)*-42?
15
What is the remainder when (4270/(-21))/((-165)/198) is divided by 75?
19
Let b be (685 + 2 - 2) + -2. Let u = -462 + b. Let i(q) = 75*q - 1069. What is the remainder when u is divided by i(15)?
53
What is the remainder when 163 is divided by 6/7 + -1 + 25142/182?
25
Let l(x) = 3*x + 30 - 19*x - 13767*x**2 + 11 + 13768*x**2. Calculate the remainder when l(14) is divided by 5.
3
What is the remainder when 15203 is divided by -13 - -194*(-4)/(-8)?
83
Let p = -12 + 30. What is the remainder when (56/(-21))/(984/(-19557)) is divided by p?
17
Suppose 2*x - 3*x + 82 = 0. Let f(q) = 2*q**2 + 45*q - 457. What is the remainder when x is divided by f(8)?
20
Let j be ((-100)/(-16))/((-4)/(-64)*-2). Let q = j + 61. Suppose -5*w + 85 = 2*i, -3*w + 24 = -2*i - q. Calculate the remainder when 57 is divided by w.
12
Let u(f) = 215*f - 15777. What is the remainder when u(74) is divided by (1 - 13)*14/(-6)?
21
Suppose 12*w - 20*w + 1791 = -433. Calculate the remainder when w is divided by 3.
2
Let y(w) = -3*w - 4. Let k(q) = 4*q**2 - 105*q - 1442. Calculate the remainder when k(-10) is divided by y(-3).
3
Calculate the remainder when 1173 is divided by (-2 - 139/(-5)) + -1 + (-24)/(-20).
3
Suppose 19*q - 14 = 18*q. Suppose -43 = 3*p + q. What is the remainder when ((-2)/10)/(p/38)*80 is divided by 13?
6
Let s = -38 + 42. Suppose 30 = 2*j + 4*i, -2*i + 127 = s*j + 37. Suppose -5*p + 55 - 16 = 2*q, 5*p = j. Calculate the remainder when 13 is divided by q.
6
Suppose 0 = s - 2143 - 210. Suppose 33*d - s = 4412. Calculate the remainder when d is divided by 19.
15
Let j = -173 + 370. Let r = j - 146. What is the remainder when r is divided by 23?
5
Let l(k) = k**3 - 6*k**2 + 2*k + 8. Suppose 2 = 2*r - b - 2*b, -b = -3*r + 10. Let o(y) = 6*y**2 - 6*y + 6. What is the remainder when o(r) is divided by l(6)?
18
Let x be (-840)/(-18)*(-4)/(-8)*-6. Let t = x - -161. What is the remainder when t is divided by 1 - 2 - -8 - -1?
5
Let c = 288 + -199. Calculate the remainder when 137 is divided by c.
48
Suppose -3896 + 5821 = 233*m - 6230. What is the remainder when m is divided by 1/(-2) - (-87)/6?
7
Let m be (7 + 6 + 1)/(1 - -1). Let b be (-72)/126 + 10/(-7) + m. Suppose b*y = 8*y - 234. Calculate the remainder when y is divided by 20.
18
Let q = -6294 - -6520. What is the remainder when 1361 is divided by q?
5
Let p = 279 - -328. Suppose 12*r = 881 + p. Calculate the remainder when r is divided by 27.
16
Suppose -2*t = -0*g + 5*g - 95, 3*g = t - 20. Suppose 21 + 63 = 3*v. What is the remainder when (-3 - (-91)/t)/((-2)/540) is divided by v?
24
Let l = 13720 + -13423. Calculate the remainder when l is divided by 61.
53
Suppose -33*g + 210 = -153. What is the remainder when 382 is divided by g?
8
Suppose 0*u = -3*u + 36. Let z be (272/(8 + -6))/1. Suppose -278 = -2*v - z. Calculate the remainder when v is divided by u.
11
Let q(v) = 2*v**2 + 22*v + 20. What is the remainder when q(-13) is divided by 349/9 - (-14)/63?
33
Suppose 10 - 54 = -4*x. Let z = 65803 + -65760. What is the remainder when z is divided by x?
10
Let b = 46 + 14. Let w = 633 - 628. Suppose m + 2*x - 183 = 3*x, -25 = w*x. What is the remainder when m is divided by b?
58
Suppose -5*i + 612 = 142. What is the remainder when i is divided by 66?
28
Let p(q) = 185*q - 2815. Calculate the remainder when p(37) is divided by 192.
190
Let p = 10 - 6. Suppose 2*o + 5*l - 295 = 0, 130*o = 123*o + 2*l + 935. Suppose p*s - o = 3*s. Calculate the remainder when s is divided by 17.
16
Suppose 2*j + 243 = 5*j. Suppose 0 = -z + 4*z - j. Let d(p) = 9*p - 47. Calculate the remainder when d(20) is divided by z.
25
What is the remainder when 1783 is divided by 23/((-322)/126) - -21?
7
Let l(h) = -h**3 + 4*h**2 - 5*h + 3. Let n be l(1). Suppose 26 = a + n. What is the remainder when 41 is divided by a?
16
What is the remainder when 273 is divided by 3 + 860/110 + (-6)/(-33)?
9
Suppose 5*d - d = 8. Suppose 0 = d*g + 3 + 3, 5*g = -2*q - 9. Calculate the remainder when (-4)/(-3) + (-26)/(-3) + -2 is divided by q.
2
Let c(v) = -v**2 + 11*v + 21. Let n be c(-4). What is the remainder when 188 is divided by n + 31 + (-94)/(-2)?
32
Suppose -74*u + 428 + 4604 = 0. What is the remainder when 349 is divided by u?
9
Suppose x + 724 = 5*x. What is the remainder when x is divided by 48 + 13 - (-1 - -5 - (7 + -3))?
59
Suppose 63804 + 5383 = 43*d. What is the remainder when d is divided by 62?
59
Suppose 3 + 15 = n. Let d(r) = r**3 - 4*r**2 + r + 33. Let m be d(7). Let k = m + -154. What is the remainder when k is divided by n?
15
Let i be (-20)/11 + 4*(-3)/66. Let d be i*(-35)/6 - (-1)/3. Calculate the remainder when (-357)/(-6) - d/(-8) is divided by 9.
7
Let m(w) = -17*w**3 + 17*w**2 + 76*w - 4. Calculate the remainder when m(-3) is divided by 86.
36
Suppose -16*v - 152 + 504 = 0. Let g be -52*(483/(-12))/7. Let i = g + -212. Calculate the remainder when i is divided by v.
21
Suppose 24 = -9*d - 57. Let r(j) = -5*j - 19. What is the remainder when r(-9) is divided by (1*-2)/(d/36) - 1?
5
Let j be ((-28)/(-8))/7 + (-54)/(-36). Let s be (2 - 1) + (-2 - 3). What is the remainder when 26 is divided by (5 - (j + s)) + 0?
5
Let s = -469 + 472. Suppose 2*g - 281 + 12 = -s*j, 2*j = 2*g - 294. What is the remainder when g is divided by 21?
16
Let i be 2/(-5)*-5 + 4 + -7. Calculate the remainder when (i - 1480/(-18)) + 198/(-891) is divided by 27.
0
Calculate the remainder when