+ 20. Calculate the remainder when l(-18) is divided by k.
21
Let j(p) be the third derivative of -p**5/60 - p**4/4 + 7*p**3/6 - 2*p**2. Let g be j(-6). Suppose -w - g = -27. What is the remainder when w is divided by 8?
4
Suppose 0 = 6*t - 13*t + 21. Suppose -v = 1 + t, -2*p + 182 = -3*v. What is the remainder when p is divided by 22?
19
Suppose -5*k = -5*c - 10, -c - 3*k + 0 = -14. Suppose -u + c*q = 149, 2*u - 5*q - 38 = -332. Let j = u - -299. Calculate the remainder when j is divided by 36.
34
Suppose 2*u + 27 = i - 53, 4*i - 340 = -2*u. Suppose -i = -13*z + 59. What is the remainder when 173 is divided by z?
8
Let a(m) = -m**3 + 3*m + 2. Let p be 1*14/28*1*-2. Let n be a(p). Let b = 19 + n. What is the remainder when 55 is divided by b?
17
Suppose -n - 7*n = n + 6*n. Suppose 0 = 2*b - 4*b + 4. Suppose n = -9*j + 4*j + r + 100, -r + 40 = b*j. What is the remainder when 157 is divided by j?
17
Let x(k) = 80*k + 1275. Calculate the remainder when x(0) is divided by 116.
115
Let b(q) = 161*q + 582. What is the remainder when 194 is divided by b(-3)?
95
What is the remainder when 2134 is divided by 58/812*350 - (-4)/(-2)*2?
13
Suppose 2 = 2*j - 14. Let h = 7 - 8. What is the remainder when 41 - (h + 1 + 2) is divided by j?
7
Let x = -2085 - -2283. Calculate the remainder when x is divided by 190.
8
What is the remainder when (10/(-4) - 7/2) + 1615 is divided by 26?
23
Let s(p) = -p**2 + 16*p - 10. Let b(r) = 3*r**2 - 33*r + 21. Let h(y) = -2*b(y) - 5*s(y). What is the remainder when h(-11) is divided by 2?
1
Suppose -o = -4*r + 50, r + 7*o - 4*o = 6. Suppose -8*m - 1021 = -1117. Let v = 31 - m. What is the remainder when v is divided by r?
7
Let l = -172 - -164. Calculate the remainder when (47/(-4))/(2/l) + -4 is divided by 15.
13
Suppose 23643 = 148*f - 37*f. What is the remainder when 1076 is divided by f?
11
Let s = -5881 - -10611. Calculate the remainder when s is divided by 26.
24
Let s(r) = -2*r**2 - r - 795. Let b be s(0). Let p = -476 - b. What is the remainder when p is divided by 17?
13
Let s(j) = 387*j - 218. Calculate the remainder when s(9) is divided by 43.
40
Suppose 57 = -2*a + 173. Suppose -27*l - 46 = -62*l + 33*l. What is the remainder when a is divided by l?
12
Let a = -6224 - -6237. What is the remainder when 607 is divided by a?
9
Suppose 2*z + 36*z = 380. Calculate the remainder when 3216 is divided by z.
6
Let v = -10 + 19. Let d(t) be the second derivative of t**4/12 + 2*t**3/3 + 23*t**2/2 + 16*t. What is the remainder when d(-6) is divided by v?
8
Let v(t) = -t**3 - 34*t**2 - 18*t + 163. What is the remainder when v(-35) is divided by 135?
128
Suppose 6192*y - 111644 = 6154*y. What is the remainder when y is divided by 4?
2
Let z(s) = -s**2 + 77*s + 55. What is the remainder when z(50) is divided by 38?
37
Let r = 778 - 776. Suppose 4*l = -r*z - 0*z + 60, 2*z - 2*l = 30. What is the remainder when 65 is divided by z?
5
Suppose 0*z = 7*z - 49. Let c(o) = -o + 11. Let d(v) = 2*v - 10. Let h(b) = 5*c(b) + 4*d(b). Calculate the remainder when z is divided by h(-4).
1
Suppose -c - 5 = -2*b, -2*c + 11 - 1 = b. Suppose -43*s + 42*s + 4*o - 37 = 0, 7*o - 51 = 3*s. Calculate the remainder when s is divided by c.
2
Suppose -240 + 36 = -12*p. Suppose -9 = p*x - 26. What is the remainder when 2 is divided by x?
0
Let s(u) be the first derivative of 11*u + 8/3*u**3 + 3*u**2 + 28 + 1/4*u**4. Calculate the remainder when s(-5) is divided by 12.
8
Suppose 0 = 25*k - 109*k + 840. What is the remainder when 6/(-3*8/(-132)) is divided by k?
3
Suppose -3*y + 191 = -4*j + 29, -4*j - 108 = -2*y. Suppose 0*b - 4*m = 5*b - 39, -4*b - m = -29. What is the remainder when y is divided by b?
5
What is the remainder when 16169 is divided by 51/(-34)*(3 - (-2)/((-24)/860))?
101
Let b(a) = 3*a**2 - 16*a + 15. Let g(d) = -d**3 - 11*d**2 + d + 13. Let y be g(-11). Suppose y*l = 3*l - 6. Calculate the remainder when 78 is divided by b(l).
24
Suppose -3*g - 920 = -4*m, m + g - 465 = -221. Calculate the remainder when m is divided by 34.
32
Suppose -2*h - 21 = -3*h. Let v = 5 - 17. Calculate the remainder when 480/18*(2 - 3/v) is divided by h.
18
Suppose 4*j = 2*j + 436. Suppose -168*m + 467*m - 284 - 4799 = 0. Calculate the remainder when j is divided by m.
14
Suppose -q = -5*x - 362, 17 = -x - 5*q - 45. Let t = 7512 - 7436. Let i = t + x. Calculate the remainder when 11 is divided by i.
3
Let l = 166 - -18. Suppose s + s = l. What is the remainder when s is divided by 19?
16
Suppose -261 = -49*g + 20*g. Suppose g*l - 29*l + 720 = 0. Calculate the remainder when l is divided by 29.
7
Let b(d) = -52*d**2 - 174*d + 9. What is the remainder when 487 is divided by b(-3)?
46
What is the remainder when 1326 is divided by 10 - (0 + 4)*(966/(-28))/(-23)?
2
Calculate the remainder when (-2)/2*(-93 - 142) is divided by 14.
11
Let v(s) = -s + 3. Suppose -2*u - 658 = -3*d, 4*d - u = -d + 1099. What is the remainder when 2/(-5) - (-6468)/d is divided by v(-10)?
3
Calculate the remainder when 1 - ((-1200)/128 + 9 + (-5018)/16) is divided by 2.
1
Let f(m) = m - 7. Let n(q) = 41*q + 87. Let u(l) = 3*f(l) - n(l). What is the remainder when 20 is divided by u(-3)?
2
Let z = -523 + 823. Let u = z - 178. Calculate the remainder when u is divided by 31.
29
Calculate the remainder when 1756 is divided by (15/(-2))/(63/(-42)).
1
Suppose f - 2*m - 68 = 0, 4*f + 5*m - 295 = -f. Calculate the remainder when f is divided by 322/2*(-27 - 8550/(-315)).
16
Let f(a) = 2*a**3 - 102*a**2 + 462*a - 24. Calculate the remainder when f(46) is divided by 12.
8
Let c = -197 - -515. Let z(o) = o**2 + 15*o + 36. Calculate the remainder when c is divided by z(-13).
8
Suppose -273*f = -108*f - 3135. Let w(s) = -76*s - 2. Calculate the remainder when w(-2) is divided by f.
17
Suppose -301 = -4*y + 79. What is the remainder when y is divided by (2 - 6)/((-2)/7)?
11
Let s(t) = 20*t - 3. Suppose 2*a = 5*a - 2*f - 199, -4*a + 5*f + 270 = 0. Calculate the remainder when a is divided by s(1).
14
Let z = 407 - 380. Suppose -3822 = 7*r - 20*r. What is the remainder when r is divided by z?
24
What is the remainder when 14/126 + 31463/9 is divided by 66?
64
Let w(m) = -707*m**3 + 30*m**2 + 35*m + 4. Calculate the remainder when w(-1) is divided by 125.
81
Suppose 0 = 4*y + 3*v - 360 - 203, 3*y + 5*v - 414 = 0. Suppose -4*l + 445 = 4*i + 349, -5*i + 72 = -l. What is the remainder when y is divided by i?
15
Suppose 80*m - 1000 = 40*m. What is the remainder when (-59)/118*(-50)/(-1 + 2) is divided by m?
0
Suppose 24*f + 1033 = 2569. What is the remainder when f is divided by 22 - (-1 + 1)/2?
20
Let g(h) = 2*h**2 + 3*h - 7. Let s be g(7). Suppose 0 = 4*q - 308 - s. Let x(n) = 24*n - 492. What is the remainder when q is divided by x(22)?
33
Let b = 3780 - -2732. What is the remainder when b is divided by 20?
12
Let d(a) = -37*a + 1. Let o be d(2). Let l = -1008 - -974. Let f = l - o. Calculate the remainder when f is divided by 11.
6
Let w(z) = -z**2 - z - 4. Let c be w(4). Let v = 0 + c. What is the remainder when 104 is divided by (2 - (-105)/(-12))/(v/128)?
32
Let y(o) = -o**2 + 8*o + 5. Suppose 2*t = -2*t + 24. Suppose 2390*l - 99021 = -452*l + 85709. What is the remainder when l is divided by y(t)?
14
Suppose 3*k = -0*k + 18. Suppose -58 - 8 = -k*i. Let j(p) = -p**2 + 12*p + 1. Calculate the remainder when j(9) is divided by i.
6
Let c(j) = -j**3 + 14*j**2 - 12*j - 216. What is the remainder when 128 - (1 + -2 + 1) is divided by c(7)?
42
Suppose t + 3*k + 1 = 0, -12*t - 5*k - 31 = -13*t. What is the remainder when 167 is divided by t/((-66)/(-48)) + 2?
7
Let t be (-9)/(45/(-6175))*2/5. Suppose -3*m + 5*b = -t, -4*b = 11 + 5. What is the remainder when m is divided by 23?
20
Let z = 69 - 23. Calculate the remainder when 1563 is divided by z.
45
Suppose 0 = -31*q + 2733 - 19070. Let w = -503 - q. What is the remainder when 89 is divided by w?
17
Let v(x) = 1340*x - 2376. What is the remainder when v(5) is divided by 14?
12
Suppose 183*o = 185*o - 506. Let q = 265 - o. What is the remainder when 55 is divided by q?
7
Let y(d) = -d**3 - 4*d**2 - 7*d - 7. Let a be y(-3). Suppose 0 = -8*o + 9*o - a, 4*o = -5*g + 140. What is the remainder when 71 is divided by g?
23
Let o(g) = 22*g - 46. What is the rema