 derivative of b**4/4 - 26*b**3/3 - 41*b**2 - 71*b + 1. Calculate the remainder when u(21) is divided by 32.
21
Let a(y) = y - 4. Let v = -50 + 51. Let h be a(v). Calculate the remainder when 49 is divided by -1*(-20 - 0/(-1) - h).
15
Suppose 116 - 116 = -7*j. Suppose j = 5*m + 5, m = -k - 4*m + 137. What is the remainder when k is divided by 18?
16
Let v = 57 - 50. Let l(q) = 8*q - 49. Let x be l(v). Let s = 39 - x. Calculate the remainder when s is divided by 12.
8
Suppose f - 148 = -2*r, -2*r = 4*f + 74 - 672. Suppose f - 275 = -5*v. Calculate the remainder when v is divided by 3.
1
Let m(g) = 52*g + 1155. What is the remainder when 533 is divided by m(-22)?
5
Let o = -2 - -12. Let q(v) = v**2 - 10*v + 31. Calculate the remainder when 215 is divided by q(o).
29
Let v = 45 - 36. Suppose -q - 3*q - v = -n, -3*n - 3*q = -57. What is the remainder when 100 is divided by n?
15
Suppose 0 = -2*l - 0*l - 64. Let i = 35 + l. Suppose i*s - 320 = -119. Calculate the remainder when s is divided by 14.
11
Let j be (-4 - (-21)/6)/(4/(-200)). Let c = j + -13. What is the remainder when 68 is divided by c?
8
Let b be 3*4*(1 + 6 + 1). Let i = -19 + b. Calculate the remainder when i/3 - 19/(-57) is divided by 14.
12
Let a be (-4)/(-1) - -5 - 2. Suppose 67 + 528 = a*c. Let g = c - 82. What is the remainder when g is divided by 1?
0
Suppose -1456 = -7*l + 9212. Suppose 1528*c - 480 = l*c. What is the remainder when c is divided by 11?
10
Suppose -2*r + 3901*p + 22 = 3903*p, 4*r - 5*p = -28. Calculate the remainder when 331 is divided by r.
1
Suppose -205*r + 210*r = -3*n + 50, 0 = -3*r + 3. What is the remainder when 2233 is divided by n?
13
Suppose -4*z + 2152 = 5*j, -2168 = 268*j - 273*j + 4*z. Calculate the remainder when 1300 is divided by j.
4
Let u be (3*-3)/(3/(-10)). Let p be 175/u + 1/6. Calculate the remainder when (p + 2)*(1 + 1 + 2) is divided by 11.
10
Let o(l) be the third derivative of 67*l**4/24 + 9*l**3/2 + 86*l**2. What is the remainder when o(5) is divided by 26?
24
Suppose 0 = 3*s - 1 - 5, -2*i + 70 = s. Let z = i + -5. Suppose -58 = -k + 5*b, -k - 2*b + 61 + 67 = 0. Calculate the remainder when k is divided by z.
21
Suppose -5*h = -2*w - 3280, 4*w + 1093 + 1531 = 4*h. What is the remainder when h is divided by 61?
46
Let j(t) = 20*t - 1. Let o(h) = -3*h - 11. Let l be o(-4). Calculate the remainder when j(l) is divided by 3 - 1 - (-36)/12.
4
Let t(w) = w**2 - 2*w + 1. Let f = -44727 + 44746. What is the remainder when f is divided by t(4)?
1
Let x(r) be the third derivative of 13*r**4/12 - 23*r**3/6 + 16*r**2. Let j be x(6). Let v = j + -91. Calculate the remainder when v is divided by 11.
9
Suppose -5*n = -3*a - 2258, -3*n + 1356 = 325*a - 328*a. What is the remainder when n is divided by 19?
14
Let h be 84/189 + (-3718)/(-18) + 1. Suppose 19*p - 115 = h. Calculate the remainder when 44 is divided by p.
10
Let p(j) = -29*j + 1256. Calculate the remainder when 1322 is divided by p(41).
49
Let x(c) = 29*c - 2*c - 8*c - 18 + c**2. Let t be x(-20). Suppose -2*q - 6*u = -5*u - 23, t*q + 7 = 5*u. Calculate the remainder when 23 is divided by q.
5
Let w(b) = -6*b + 40. Let j = 19 - 14. Let s(i) = 5*i. Calculate the remainder when w(j) is divided by s(1).
0
Suppose 4721 = 3*y + 11*m, -11*y + 12*y - 1612 = 4*m. What is the remainder when y is divided by 200?
192
Let m(v) = -29 - 18 + 10*v + 4*v**2 - 27. Let a = 27 - -6. What is the remainder when m(6) is divided by a?
31
Suppose 19*c = -c + 4389 - 1329. What is the remainder when 773 is divided by c?
8
Calculate the remainder when 845 is divided by (-70)/5 - (25 - 55).
13
Let q = -66 - -84. Let h be q/8 - ((-75)/20)/5. Suppose 3*b = -15, 65 = t + h*t - 5*b. What is the remainder when 29 is divided by t?
9
Suppose 0 = 51*s + 1874 - 36248. Calculate the remainder when 2700 is divided by s.
4
Let r(n) = -15*n**3 + 6*n**2 + 9*n + 2. Suppose 43*v - 38*v = 275. Calculate the remainder when v is divided by r(-1).
13
Suppose 4*v - 2*d - 2*d - 236 = 0, -296 = -5*v + 4*d. Suppose 44*r = 46*r + 336. Let k = r - -181. What is the remainder when v is divided by k?
8
Let t = -19348 - -19387. What is the remainder when 1512 is divided by t?
30
Suppose 18*i - 66 = 7*i. Suppose i*c = 45 + 135. Calculate the remainder when c is divided by 7.
2
Suppose 144*v - 142*v + 4*x = 7614, 3*x = v - 3802. What is the remainder when v is divided by 292?
9
Let l(i) = -5*i**2 - 6*i - 16. Let b(v) = 33 - 148*v**2 + 157*v**2 + v + 12*v. Let w(c) = 6*b(c) + 11*l(c). Calculate the remainder when w(12) is divided by 12.
10
Let m(y) = 45*y**2 - 161*y - 593. What is the remainder when m(-4) is divided by 133?
106
Suppose -3909*g + 3890*g + 4655 = 0. What is the remainder when g is divided by 55?
25
Let j = 6407 - 6310. Let i = -3 - -7. Suppose -i*o + o = -60. Calculate the remainder when j is divided by o.
17
Let t(c) = -c**2 - 12*c + 67. Let w be t(-10). Suppose 0 = -x - a + 22, -3*x + w = -a - 3*a. What is the remainder when x is divided by 18?
7
Suppose 0 = -4*i + n - 0*n + 122, 0 = 5*i + 5*n - 115. Calculate the remainder when 790 is divided by i.
7
Let d(v) = 13*v - 100. Let r be d(8). Suppose 3*p + 2 = -5*z + r*z, 3*z - 5*p - 36 = 0. Suppose -8 = -2*x - 0*x. What is the remainder when z is divided by x?
3
Suppose -212*v + 15 = -207*v. Calculate the remainder when 3 is divided by (8 - 9) + (v - 1).
0
Let m(g) = 2*g**3 - 212*g**2 + 256*g. What is the remainder when m(105) is divided by 32?
30
Let k be (-1 - 17/(-3))*738/12. Suppose -5*u = -4*p + 1208, 12*p = 11*p + 5*u + k. Calculate the remainder when p is divided by 77.
76
Suppose -3*n = 7 - 16. Suppose n*q + 30 = 6*q. Let v(z) = z**2 - 8*z + 14. Calculate the remainder when v(q) is divided by 12.
10
Suppose 2*z - 259 = 4*k - 3*z, -z - 265 = 4*k. Let f = -62 - k. Suppose -15 = f*r - 7*r. Calculate the remainder when 33 is divided by r.
3
Let j = 61 - 28. Calculate the remainder when -4 + -3 + 7 - -95 is divided by j.
29
Let u(y) = y**2 + y - 1. Let b(p) be the first derivative of 12*p**2 - 40*p + 5. Let s(x) = -b(x) - u(x). Calculate the remainder when s(-22) is divided by 11.
8
Suppose 24*j - 58*j = -358478 - 17664. Calculate the remainder when j is divided by 22.
19
Let y(w) = -105*w + 27. Let c be y(-5). Suppose 0 = -12*o + 16*o - c. Calculate the remainder when o is divided by 1/(-2) - (-15)/2.
5
Let p = -45 - -52. Calculate the remainder when (9/4)/(5/60) is divided by p.
6
Let w = 264 - 113. Suppose 11*a = -223 - w. Let u = a - -52. Calculate the remainder when 140 is divided by u.
14
Suppose 0 = 2*j + 2*z - 4, 0*j + 1 = j + 2*z. Suppose 5*x - 4*k - 9 = 0, -j*x + 3*k = -0*x - 3. What is the remainder when 82 is divided by x?
2
Suppose -d - 3*f = -105, 51*f = -2*d + 55*f + 280. What is the remainder when d is divided by 32/((20/4)/5)?
30
Let v(s) = 6*s**2 + 3*s - 2. Suppose -5*r + 10*r - 10 = 0. Let u(d) = -d**3 - 7*d**2 + 6*d - 6. Calculate the remainder when v(r) is divided by u(-8).
8
Suppose 0 = 4*j + 4*o + o - 122, -5*j + 146 = 3*o. Let f(i) = 4*i**2 + 19*i - 12. What is the remainder when j is divided by f(-6)?
10
Let g(n) = 58*n + 2. Let t(z) = -2*z + 8. Let l be t(3). Let a be g(l). Suppose -5*j = -a - 147. Calculate the remainder when j is divided by 19.
15
Let i = -625 - -670. Suppose -654 = -6*o + 138. What is the remainder when o is divided by i?
42
Suppose 9*s - 29870 = -20*s. Calculate the remainder when s is divided by 22.
18
Suppose -3*h - q - 14 = -91, 0 = 3*h - 4*q - 82. Calculate the remainder when 1064 is divided by h.
24
Suppose 5*a - 124 + 13 = -2*l, 0 = -4*a + 5*l + 135. Calculate the remainder when 1713 is divided by a.
13
Let y = 118 + -61. Let h = 226992 + -226777. Calculate the remainder when h is divided by y.
44
Suppose -67 = -k - 4*w + 2*w, 0 = -5*k - w + 326. Let g = k - -4. Suppose -3*i + i = -24. Calculate the remainder when g is divided by i.
9
Let j = 4245 + -3761. Calculate the remainder when j is divided by 2.
0
Suppose 3*t = -5*w + 137, -33 - 53 = -2*w + 4*t. What is the remainder when 482 is divided by w?
17
Let x(u) = u**2 - 18*u + 35 + 18*u + 25*u + 26. Calculate the remainder when 31 is divided by x(-23).
1
Suppose -2*c = i - 3*c - 257, 4*i + 3*c - 1028 = 0. Calculate the remainder when i is divided by 50*10/25*2 - -4.
37
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