en 11 + -2 + (c - -5) is divided by 1?
0
Let a = -3831 - -4367. What is the remainder when a is divided by 90?
86
Suppose -9*n = -28 + 1. Let p = 72 - 31. What is the remainder when p is divided by 9*((-117)/(-27) - n)?
5
Let x(z) be the first derivative of 3*z**2/2 + 20*z - 540. Suppose 0 = 4*t + 5*u - 44, -3*u + 2*u - 22 = -2*t. What is the remainder when x(t) is divided by 11?
9
Let h be (-5)/(-3)*2/(4/6). Calculate the remainder when 8 is divided by -2*2 + (h - 13) + 19.
1
Let g(r) = 34*r - 3. Suppose 25*t = -4*t - 36*t + 12155. Calculate the remainder when t is divided by g(2).
57
Suppose -v - 2*k - 79 + 414 = 0, -5*v + 4*k + 1605 = 0. Let z = v - 281. Calculate the remainder when 173 is divided by z.
41
Let s = -941 + 953. Calculate the remainder when 47 is divided by s.
11
Let x(c) = -c**3 + 3*c**2 - 4. Let s be x(2). Suppose 5*g - q + 430 = s, g + q - 2*q + 90 = 0. Let b = g - -89. What is the remainder when b is divided by 3?
1
Let l = -1903 + 1970. Let i(r) = -7*r - 6. Let v be i(6). Let o = v + l. Calculate the remainder when 31 is divided by o.
12
Let l = -214 + 244. Suppose -3*g - c = -74, -4*c - l - 38 = -2*g. What is the remainder when g is divided by 14?
12
Calculate the remainder when 506 is divided by ((-2)/6)/(78096/2232 + -35).
10
Let b = -87 + 17. What is the remainder when (-362)/(-6) + -4*(-3)/(-9) is divided by (-4)/(14/49 - (-34)/b)?
19
Let v(s) = -2*s + 7. Let j be v(3). Let d(i) = 79*i**2 - 2*i + 1. Let l(p) = 22*p**3 + p**2 - 2. Calculate the remainder when d(j) is divided by l(1).
15
Let s(f) = -f**2 - 36*f + 144. Calculate the remainder when 2102 is divided by s(-39).
23
Let z = -198 - -204. Suppose o = 3*t + 44, -9*t + z*t + 20 = o. What is the remainder when 72 is divided by o?
8
Let o(k) = -17*k + 79 + k - 83 + 14*k**2. What is the remainder when 289 is divided by o(3)?
67
Suppose 3*a - 4*a + 7 = 0. What is the remainder when 88/6 - -18*(-20)/(-1080) is divided by a?
1
Suppose 4*q - 44 = -0*q - o, -4*o - 4 = -2*q. Suppose 4*i = -2*i + 12. Suppose 13 = i*l - 19. Calculate the remainder when l is divided by q.
6
Let o(h) = 7*h**3 - 4*h**3 + 5*h**3 - h**2 + 30*h**3 - 5 + 6*h. Let l be o(1). Suppose -2*j + l = 6. What is the remainder when 124 is divided by j?
12
Let o be ((-2)/6)/((-1)/15). Let b be 38 - -5 - (-44 + 44). What is the remainder when 40 is divided by (o/(-4))/(-5) - b/(-4)?
7
Suppose 8*s = 20 + 100. What is the remainder when 21/3 + (3 - (-96)/6) is divided by s?
11
Suppose -3*j + 1572 = 3*i, 37*i - 41*i + 2108 = j. What is the remainder when i is divided by 29?
6
Suppose -w + 2*c = -2977, -c = 11*w - 10*w - 2983. What is the remainder when w is divided by 42?
41
Suppose 55 = -m + 6*m. Suppose 14 = -4*s + d - 9, 3*d - 9 = 0. What is the remainder when m is divided by (44/(-7) - s)*-7?
2
Suppose 17*a - 337456 = -245*a. What is the remainder when a is divided by 81?
73
Suppose 0 = -2*s - 7 + 27. Calculate the remainder when (38948/3745)/(4/10) is divided by s.
6
Suppose -5*w = -y + 18, 0 = -5*y + 5*w + 6 + 44. What is the remainder when 55 is divided by 914/54 + y/108?
4
Let r(q) = q**3 + 25*q**2 + 77*q + 58. What is the remainder when 1176 is divided by r(-21)?
151
Let v(u) = 40*u**2 - 1197*u + 34. What is the remainder when 610 is divided by v(30)?
114
Let s(f) = f**3 - 7*f**2 - 116*f + 1274. Calculate the remainder when 2686 is divided by s(15).
18
Let m(q) = 890*q**2 - 13*q + 41. Calculate the remainder when m(-3) is divided by 19.
15
Let o = 36051 - 36039. Calculate the remainder when (0 - -57) + (16 - 17) is divided by o.
8
Let g(u) = 2*u + 40. Let i be g(-15). Suppose 600 = 20*l - i*l. Let m = -6 + 13. What is the remainder when l is divided by m?
4
Suppose 3*w = 2*z - 625, 22*z - 20*z - 637 = -w. Calculate the remainder when 511 is divided by z.
194
Let g = -141 - -145. Suppose -5*i - g*s = -72 + 13, 0 = -i - s + 11. What is the remainder when 44 is divided by i?
14
Suppose -112*d = -13460 + 4948. What is the remainder when 984 is divided by d?
72
Suppose 0 = 16*n + 137 - 313. What is the remainder when 113/4 - (-3)/(-12) is divided by n?
6
Let g(v) = 32*v**3 + 4*v**2 + 47*v - 173. Calculate the remainder when g(4) is divided by 31.
19
Suppose -2*w = q - 22, 0 = 4*q + 2*w - 16 - 42. Calculate the remainder when 1/(3/(-14 + 188)) is divided by q.
10
Let p(j) = -3*j**2 + 28*j + 50. Let i be p(11). Suppose -74 = 2*m - 224. What is the remainder when m is divided by 21/(8 - i/(-1))?
5
Suppose 3*a = 7*a + 5*f - 34, -3*a + 10 = -4*f. Suppose -13*k - a*k + 760 = 0. Suppose 19 - k = -z. Calculate the remainder when z is divided by 12.
9
Let k(p) = -p**2 - p + 46. Let o = -107 + 110. Let j be (-54)/90 + o/5. Calculate the remainder when k(j) is divided by 18.
10
What is the remainder when (4/24*15)/(13611/13598 - 1) is divided by 38?
31
Let l = 38 - 14. Suppose -4*b + 128 = -d, -4*d - 153 = -5*b - d. Suppose -21*j = -l*j + b. What is the remainder when 19 is divided by j?
8
Let n = 260 - 150. Let a be (n/(-3) - -2)*-12. Suppose -4*p - 4*s + a = 0, 2*s - 231 = -4*p + 185. Calculate the remainder when p is divided by 15.
14
Let x(l) = 34*l - 1444. Let u be x(40). Let y = 213 - 112. Let j = y + u. What is the remainder when 83 is divided by j?
15
Suppose -13*b - 3700 = -63*b. Suppose -3*y + 31 + b = 0. Calculate the remainder when 238 is divided by y.
28
Let r be 4 + (6 - (2 + 4)). Suppose -y - 16 = a - 2*a, -r*a = -2*y - 56. Calculate the remainder when 82 is divided by a.
10
Suppose h - 155 = a, -3*h + 964 = -4*a + 500. Calculate the remainder when h is divided by 57.
42
Let n be 72/20 + (-10)/(-25). Suppose 114 = n*h + 3*o, -2*h - 2*o = -7*h + 131. Calculate the remainder when -16*(-3 - (-6)/(-3)) is divided by h.
26
Let x(p) = 75*p - 1360. Let n(t) = 8*t**2 - 5*t + 4. What is the remainder when x(24) is divided by n(4)?
104
Let i(z) = -21*z - 1042. Calculate the remainder when 662 is divided by i(-56).
126
Suppose -5 = -3*a + 7. What is the remainder when 7*1 + (-74)/((-4440)/660) is divided by a?
2
Suppose 0 = -5*d + 247*m - 252*m + 1010, 862 = 4*d - 5*m. What is the remainder when 5823 is divided by d?
207
Let r(d) = -d**3 + 5*d**2 - d - 6. Let q be r(2). Suppose -16*v + 18*v - 80 = q*h, -2*v - 3*h = -45. Calculate the remainder when v is divided by 8.
6
Let q(h) be the third derivative of h**6/120 + h**5/30 + h**4/6 + 13*h**3/6 + 2*h**2 + 37*h. What is the remainder when q(4) is divided by 9?
8
Suppose 0 = 2*q + 3*o - 66, -q + 144 = 3*q + 3*o. What is the remainder when 265 is divided by 2080/q + 2/3?
49
Let a = -26 + -206. Let l = 246 + a. What is the remainder when 471/12 - 2/8 is divided by l?
11
Let c = -9088 - -9140. Suppose -4 + 6 = -2*m, 3*m = -2*q + 37. Calculate the remainder when c is divided by q.
12
Suppose -w + 5*i - 24 = 0, 4*i - 10*i = -5*w - 6. Calculate the remainder when 1631 is divided by w.
5
Let f(n) be the second derivative of -3*n**4/8 + 16*n**2 + 33*n. Let c(l) be the first derivative of f(l). Calculate the remainder when c(-9) is divided by 28.
25
Calculate the remainder when 276 is divided by 7*((-1376)/1204 - 14/(-2)).
30
Suppose 29 = 10*k - 1. Suppose 2*a + k*a - 60 = 0. Calculate the remainder when 394/14 + 3/(-21) is divided by a.
4
Let l = 1 + 1. Suppose -7*i + 25 = -l*i. Let y = -92641 + 92653. What is the remainder when y is divided by i?
2
Suppose -3*h + 749 = 5*f, h - 3*f + 995 = 5*h. Suppose 63*z + 31*z - 7968 = -z - z. What is the remainder when h is divided by z?
82
Let m(v) = 46*v**2 - 28 - 38*v + 30*v - 44*v**2. What is the remainder when m(8) is divided by 5?
1
Suppose 31*v = 36*v + 30. Let i(x) = x**2 + 3*x + 9. Calculate the remainder when 155 is divided by i(v).
20
Suppose 9 = 4*s + 1. Suppose s*p - 81 - 221 = 0. What is the remainder when p is divided by -3*((-8)/(-12) + 0) - -16?
11
Let y(j) = -j**3 + 7*j**2 + 5*j + 14*j**2 + 2 - 16*j**2. Let m be y(5). What is the remainder when 34 is divided by 1*m/(-15)*(-4 + -1)?
7
Suppose -2*d + 1049 = 3*h, -58 - 2562 = -5*d - 5*h. Calculate the remainder when 537 is divided by d.
14
Suppose 4036*s + 81 = 4047*s - 40. Calculate the remainder when 267 is divided by s.
3
Let q(j) = j**2 + 4. Suppose -4*t + 5*k = -5*t - 22, -5*t - 4*k - 26 = 0. What is the remainder when 2*(-1 - t/4) - -58 is divided by q(5)?
28
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