1
Let k(d) be the second derivative of -17*d**3/3 - 145*d**2/2 + 139*d. What is the remainder when k(-6) is divided by 11?
4
Let t be 54/(2 + 90/(-48)). Suppose t = -0*j + 5*j - 2*r, -5*j + 428 = 2*r. What is the remainder when 106 is divided by j?
20
What is the remainder when ((-3)/4)/(156/(-24752)) is divided by 12?
11
Suppose -586 = -34*v + 978. Suppose 0*k = -3*k + 51. Calculate the remainder when v is divided by k.
12
Suppose -4*l - 5*v + 1882 = 0, 0 = -3*l - 4*v + 1449 - 38. Calculate the remainder when l is divided by 236.
1
Let m = -9748 - -12251. What is the remainder when m is divided by 356?
11
Let q = -28845 - -31397. What is the remainder when q is divided by 160?
152
Let q = 19675 - 10628. What is the remainder when q is divided by 10?
7
Let s be (1 - (-2)/(-4))/((-3)/(-18)). Suppose -5*y - 8 = -s*y. Let u = y - -27. Calculate the remainder when 42 is divided by u.
19
Let f be (-16)/(-6) - (-2)/(-3). Suppose 2*y - f*o - 190 = 0, -o - 76 = -2*y + 113. Calculate the remainder when y is divided by ((-7)/2)/((-217)/4464*3).
22
Suppose -23*z + 16280 = 162*z. Calculate the remainder when 125 is divided by z.
37
Suppose 9*f + 482 = 518. Suppose -f*h + 2*z = -284, -4*z + 71 = h - 3*z. What is the remainder when 778 is divided by h?
68
Let q(c) = -c - 1. Let x be q(3). Let g = x + 7. Suppose -4*p + 29 = z, -z - 10 = -2*p - g. Calculate the remainder when 21 is divided by p.
3
Let u(n) be the third derivative of 0*n + 4*n**2 + 0 + 17/60*n**5 - 1/12*n**4 - 1/6*n**3. Calculate the remainder when u(-2) is divided by 25.
21
Suppose -j + 56 = n, -5*j - 80 = 4*n - 5*n. Let o = -46 + 96. Calculate the remainder when n is divided by o.
10
Let t = 3024 + -2766. What is the remainder when 690 is divided by t?
174
Let x = -697 - -357. Let r = -286 - x. Suppose 65 - 9 = 4*m. What is the remainder when r is divided by m?
12
Let g be ((-1)/2)/((-15)/180). Let f be (32/6)/(2/g). What is the remainder when 2/f - (-1116)/32 is divided by 13?
9
Suppose -a + 147 = 4*s, -33*a + 303 = -31*a + 5*s. What is the remainder when 624 is divided by a?
147
Suppose -4*n - 380 + 6980 = 4*p, 5*p + 4*n - 8252 = 0. Calculate the remainder when p is divided by 57.
56
Let t = 374 - -6. Suppose t = 16*c - 340. What is the remainder when c is divided by 6/(-9)*78/(-4)?
6
Suppose -6*f + 804 = -708. Suppose -44 = 2*k - 76. What is the remainder when f is divided by k?
12
Let z = 22 + -19. Suppose 165 = l + z. Suppose 0 = -6*v + 252 + l. Calculate the remainder when v is divided by 36.
33
Let a = 4716 + -993. What is the remainder when a is divided by 618?
15
Let q(v) = v**3 - 7*v**2 + 3*v - 14. Let d = 106 + -46. Suppose 5*a = -3*p + 21 + 9, -3*p = -5*a + d. What is the remainder when a is divided by q(7)?
2
Suppose -17*p + 12*p - 3060 = -5*u, 5*p = -4*u + 2412. Suppose 50 = 2*b + 4*h - u, -2*h - 628 = -2*b. Calculate the remainder when b is divided by 46.
43
Let p(f) = -2*f + 37. Let q be p(7). Suppose 2*j = 2*a - 86, 5*j + q = a + 9*j. What is the remainder when 76 is divided by a?
37
Suppose -88 = -4*u - 3*c + 7*c, -2*u = -4*c - 52. Suppose 0 = -392*x + 42822 - 9110. Calculate the remainder when x is divided by u.
14
Let o = 22715 - 21783. What is the remainder when o is divided by 184?
12
Let c = -3424 + 3428. What is the remainder when 70 is divided by c?
2
Let f = -5684 + 6058. What is the remainder when f is divided by 125?
124
Let m = -77 - -138. Suppose 171*t - 19936 - 7202 = -6447. What is the remainder when t is divided by m?
60
Suppose 4944 - 2376 = 24*d. Calculate the remainder when d is divided by 36.
35
Suppose 127*b = 132*b + 6455. Let h = b - -1422. Calculate the remainder when h is divided by (-2)/8 + (-109)/(-4).
23
Suppose -30*o + 28*o + 18 = -2*x, -o = -5*x - 29. Let t(n) = -n**3 - 5*n**2 - 10*n - 3. What is the remainder when 135 is divided by t(x)?
41
Let k(z) = 3*z**2 + 78*z - 831. Calculate the remainder when k(11) is divided by 176.
38
Calculate the remainder when (-581994)/(-81) - (963/(-81) - -12) is divided by 79.
75
Let o be (-14)/21*(-5 + 2). Let m be o/4 + (7/2 - 0). Suppose 79 - 223 = -m*q. What is the remainder when 142 is divided by q?
34
Suppose 5*n - 394 = 4*k - 0*k, 317 = 4*n - 5*k. Let p(s) = s**2 - s - 6*s + n*s**3 - 77*s**3 - 5. Calculate the remainder when 42 is divided by p(-2).
2
Let v(p) = 523*p**2 + 5*p + 4. Let x be v(-1). Suppose -90*t = -93*t + x. What is the remainder when t is divided by 94?
80
Let t(r) = r**2 + 1. Let k(p) = 37*p**3 + 5*p**2 - 5*p + 8. Let s(z) = k(z) - 5*t(z). What is the remainder when 104 is divided by s(1)?
34
Let b(n) = 314 + 6*n + 304 - 533. What is the remainder when b(16) is divided by 14?
13
Calculate the remainder when 323 is divided by (87 - 1) + 10/((-8)/4).
80
Suppose 2*w - 274 = -5*x, 0 = 10*w - 6*w + 4*x - 548. Calculate the remainder when w is divided by 47.
43
Let v(l) = 2*l**2 + 23*l**2 + 17 - 6*l - 21*l**2. Calculate the remainder when v(5) is divided by 11.
10
Let d(q) = -q**3 + 14*q**2 - 14*q - 6. Let p be d(12). Let h = 0 + p. Suppose -h + 10 = -4*x. Calculate the remainder when x is divided by 14.
12
Suppose -56*i + 53*i = 0. Let b(k) be the third derivative of -k**4/24 + 17*k**3/2 + 2*k**2. Calculate the remainder when b(i) is divided by 18.
15
Let g(v) = 3*v + 8. What is the remainder when g(0) is divided by (-25)/(-4) - (-25)/(-20)?
3
Let o(g) = -g**2 - 34*g - 15. Let k be o(-24). Let v = -218 + k. What is the remainder when 48 is divided by v?
6
Let p = 550 + -536. Calculate the remainder when 932 is divided by p.
8
Let l(i) = -i**3 - 17*i**2 + 19*i + 24. Let r be l(-18). Let a(k) = k**3 + 1 + 1 - 9*k + 5*k + r*k**2. Calculate the remainder when a(-6) is divided by 10.
6
Suppose 9*b = 10*b + 68. Let g = -38 - b. Suppose g = 2*r - 4*d, -3*r - d - 11 = -4*r. Calculate the remainder when r is divided by 7.
0
Let f be 3 + 0/((-5)/5). Let l(y) = -17*y**2 + 20*y + 3. Let k be l(f). Let p = 192 + k. Calculate the remainder when p is divided by 35.
32
Let v(n) = 425*n**2 - 38*n + 40. What is the remainder when v(1) is divided by 87?
79
Let s(l) be the second derivative of 12*l**3 - 11*l**2 - 30*l. Calculate the remainder when s(2) is divided by 21.
17
What is the remainder when -8*1627/(-36) + (-8)/(-18) is divided by 206?
156
Suppose 6*q - 12*q = -1260. Let o = -27 - -40. Calculate the remainder when o is divided by (q/2)/(-7)*(-6)/10.
4
Let j = -23 - -139. Suppose c = i + 8, 0 = -2*c - 100*i + 97*i + 21. Calculate the remainder when j is divided by c.
8
Let h(p) = -4*p**3 - 24*p**2 - 3*p + 29. Let i = 32 + -22. What is the remainder when h(-6) is divided by i?
7
Let v be ((-5)/10)/((-2)/8). Let w(i) = 6*i**2 - 10*i - i**2 + i**3 + i**v - 2 - 2. What is the remainder when 66 is divided by w(-7)?
15
Let f(b) = b**3 + 12*b**2 + 21*b + 25. Let v be f(-11). Let i = 131 + v. Calculate the remainder when i is divided by 26.
20
Let o(w) = -w**3 - 60*w**2 - 141*w - 604. Calculate the remainder when o(-58) is divided by 19.
10
Let o(w) = -12*w - 73. Let d be o(-33). Let q = d + -309. Suppose 159 = -4*s + 7*s. What is the remainder when s is divided by q?
11
Calculate the remainder when (-257720)/(-48) + 65/(-390) is divided by 16.
9
Suppose -3*o - 101 = -2*w, 4*w - o - 177 = -0*w. Let x(i) = -i**3 + 11*i**2 - 5*i - 25. Let u = 308 + -298. Calculate the remainder when w is divided by x(u).
18
Let j(d) = -22*d + 46. Let w(c) = -11*c + 23. Let s(y) = 6*j(y) - 10*w(y). Let k be s(-5). Suppose g = 7*g - k. Calculate the remainder when 48 is divided by g.
22
Let j be 7548/(-228) + (-4)/(-38). Let z = j - -7. Let d = 21 - z. What is the remainder when d is divided by 16?
15
What is the remainder when 455/(8 - (-390)/39*3/(-4)) is divided by 402?
106
Let p(m) = 6*m**2 - 67*m - 288. What is the remainder when p(31) is divided by 54?
53
Suppose -8 = 5*m - 5*j - 188, 69 = 2*m - 3*j. Calculate the remainder when 145 is divided by m.
28
Suppose 20*c - 17*c = 376 - 133. What is the remainder when c is divided by 19?
5
Suppose 30*x = 38*x - 128. Calculate the remainder when 8062 is divided by x.
14
Suppose 5*d - 2*l - 2530 = -454, -d + 5*l + 406 = 0. What is the remainder when d is divided by 178?
60
Suppose -368 - 512 = -5*y. Let s(d) = 22*d**3 - d**2 + 5*d + 6. Let f be s(-1). Let u = 8 - f. Calculate the r