+ 68 = y, 5*k - 60 = k + 3*r. Calculate the remainder when 51 is divided by k.
15
Suppose 5*c - 3*c = -5*i - 20, 20 = 3*c - 5*i. Suppose c*h - 49 = -7*h. Calculate the remainder when 75 is divided by h.
5
Suppose -3*d = 5*a - 937, 0*a - 2*a - 305 = -d. Calculate the remainder when d is divided by 39.
36
Suppose 3*k = 4*f + 80, 2*f - 66 = -3*k - 16. What is the remainder when 30 is divided by k?
10
Suppose 4*v = 0, -p - 2*v = 1 - 11. Let m = p - -40. What is the remainder when m is divided by 13?
11
Suppose 2*x - 3*x + 5 = 0. Suppose -x*f - f = -90. What is the remainder when 43 is divided by f?
13
Suppose 4*w + 3*r - 14 = -0*w, -19 = -5*w - 3*r. Suppose 0 = m + w, -3*t = 2*t - 3*m - 170. Calculate the remainder when t is divided by 11.
9
Let t = 1008 - 1002. What is the remainder when 688 is divided by t?
4
Suppose -5*b - 592 + 852 = 0. Calculate the remainder when 2285 is divided by b.
49
Let h = -179 + 320. What is the remainder when h is divided by 48?
45
Suppose 12 = -j - 3*a - 8, j = a - 12. Let p = -10 - j. What is the remainder when -7*(6 + -1)*2/(-7) is divided by p?
2
Let i(s) = s**2 - s + 4. Let c(w) = w**2 - 4*w - 18. Let h be c(7). What is the remainder when 47 is divided by i(h)?
7
Calculate the remainder when (49/245)/((-3)/(-795)) is divided by 57/4 - 1/4.
11
Let y = 10 + 2. Let a = y - -28. What is the remainder when a is divided by 14?
12
Suppose 5*s + m - 4*m + 2 = 0, 0 = -s - 4*m + 18. Let g = -39 - -50. What is the remainder when (-642)/(-15) + s/10 is divided by g?
10
Let j = -38 - -30. Let d(v) = v**3 + 8*v**2 - 7*v - 1. What is the remainder when 106 is divided by d(j)?
51
Let k = 70 + -47. What is the remainder when k is divided by 6?
5
Let v(q) = 17*q + 2. Let m = -16 + 17. Calculate the remainder when 74 is divided by v(m).
17
Let h(x) = -x**3 + 2*x**2 + 9*x - 10. What is the remainder when (-1 + 4)*(-16)/(-3) is divided by h(3)?
0
Let h(l) = 5*l**2 - l + 5. Let b = 855 + -821. Calculate the remainder when h(-5) is divided by b.
33
Suppose 4*d + 33 = 1. Let t(y) be the first derivative of y**3/3 + 5*y**2/2 - 14*y + 1. What is the remainder when 15 is divided by t(d)?
5
Suppose c + 5*x - 249 = 0, 0 = -5*c + 3*c + 2*x + 438. Calculate the remainder when c is divided by 25.
24
Suppose -28*c = -34*c + 36. Calculate the remainder when 11 is divided by c.
5
Let q(k) = 7*k - 3. Let l be q(4). Suppose -l + 4 = -t. Calculate the remainder when t - 0/(-2 - -3) is divided by 8.
5
Suppose 0 = z - 4*r - 280, -5*r + 1467 - 410 = 4*z. Calculate the remainder when z is divided by 45.
43
Let x = -53 - -73. Calculate the remainder when 31 is divided by x.
11
Suppose -138*l + 133*l = 10. Let d(p) = 2*p**2 - p - 3. Suppose -2 = 4*j - 3*g - 3, 5*j + 4*g = 40. What is the remainder when d(l) is divided by j?
3
Let p = -28 + 30. Suppose 5*n = 5*h + 85, 1 + 5 = p*h. What is the remainder when n is divided by 7?
6
Let z(m) = -m**3 + 5*m**2 + 3*m. Let j be z(4). Let s = j + -19. Calculate the remainder when 24 - (s*-1)/3 is divided by 10.
7
Let l(j) = 11*j**2 + 2*j - 1. Let u be l(1). Let z = 20 - u. What is the remainder when (-6)/(((-22)/484)/(1/6)) is divided by z?
6
Let y(n) = n**3 - 6*n**2 + n + 13. Let u(a) = -a + 27. Let q be u(21). Calculate the remainder when y(q) is divided by 5.
4
Let b(h) = 23*h - 7. Let p(j) = -j**3 + 2*j**2 + 3*j - 3. Let z be p(2). Suppose 0 = -5*y, -1 = z*a + y - 7. Calculate the remainder when 76 is divided by b(a).
37
Let n = -285 + 429. Let f = n + -94. Calculate the remainder when f is divided by 26.
24
Suppose -14*t + 3894 = 52*t. Calculate the remainder when 173 is divided by t.
55
Let u = -263 + 401. Suppose -8*g + u = -126. What is the remainder when g is divided by 9?
6
Suppose 2 + 0 = -r. Let u be (-1 - (r - 0)) + -239. Calculate the remainder when (-18)/(-45) - u/5 is divided by 18.
12
Suppose 39*d + 41*d = 9600. What is the remainder when 368 is divided by d?
8
Let r(x) = x**3 - 4*x**2 - 2*x. Let b(m) = 2*m + 53. Let y be b(-24). Calculate the remainder when r(y) is divided by 9.
6
Let p = -26 - -51. Let x = -782 - -856. Calculate the remainder when x is divided by p.
24
Let d = 247 - 170. Suppose -4*o + 5*r = -67, -2*o - 3*o + d = -4*r. What is the remainder when 31 is divided by o?
5
Let l(b) = b**2 + 117. What is the remainder when l(0) is divided by (-646)/(-16) - 6/16?
37
Suppose 0 = -2*k + 29 + 95. Calculate the remainder when k is divided by 20.
2
Let i(r) = 2*r**2 - 13*r + 8. Calculate the remainder when i(8) is divided by 10.
2
What is the remainder when (-3)/(-2) + -1 + 3315/6 is divided by 37?
35
Let r be ((-22)/6 + 1)/(2/(-3)). Suppose 0 = -4*x + 24 - r. Let q(c) = 3*c**2 + 3*c + 1. What is the remainder when q(-2) is divided by x?
2
Let l = 35 - 27. What is the remainder when 2/l - 387/(-36) is divided by (-17)/(-4) - 2/8?
3
What is the remainder when 42 is divided by (-324)/(-243) - (-70)/6?
3
Let s be 41 - 41 - ((-1)/(-1) + -3). Suppose -4*y - s*m = -126, -12*y + 10*y + 3*m + 83 = 0. Calculate the remainder when 134 is divided by y.
32
Suppose -69 - 24 = -3*i. Let l(s) be the second derivative of -s**4/12 - 4*s**3/3 - 2*s**2 + 8*s. Calculate the remainder when i is divided by l(-3).
9
Suppose 3913 = 6*k + 1075. What is the remainder when k is divided by 68?
65
What is the remainder when 83 is divided by ((-368)/(-24) - 15)*(0 - -48)?
3
Suppose -369*c = -372*c + 84. What is the remainder when c is divided by 5?
3
Let w(x) be the third derivative of x**4/24 + x**3 - x**2. Let r be w(-3). Suppose 230 = 8*a - r*a. What is the remainder when a is divided by 16?
14
Suppose -13*a + 18*a - 3*k = 408, -k + 80 = a. What is the remainder when 139 is divided by a?
58
Suppose -6*o - 80 + 206 = 0. What is the remainder when 187 is divided by o?
19
Let m = 590 - 493. What is the remainder when m is divided by 4?
1
Let x(z) = -4*z**2 - 4*z - 7. Let v(w) = 7*w**2 + 8*w + 13. Let i(y) = 3*v(y) + 5*x(y). What is the remainder when 9 is divided by i(-4)?
1
Let h = 29 + -6. Let o = 76 - h. Calculate the remainder when o is divided by -63*(-6 + (-39)/(-7)).
26
Let n(q) = -3*q + 6. Let j(i) = 6*i + 2. Let b be j(2). Calculate the remainder when (-721)/(-49) - (-4)/b is divided by n(0).
3
Let r(x) = -x + 15. Suppose 5*i + 5 = -b, b - 3*i = 4 - 1. What is the remainder when r(b) is divided by 1 + 1 + (6 - -1)?
6
Let a(g) = -g**3 - 5*g**2 + 4*g - 4. Let z(r) = -r**3 + 7*r**2 - 5*r - 13. Let q be z(6). Calculate the remainder when a(q) is divided by 18.
12
Let w = 848 + -787. What is the remainder when w is divided by 14?
5
Let h(v) = -6*v - 7. Let a be h(-3). Let u = 15 + 0. Suppose -a*p = -u*p + 28. What is the remainder when 18 is divided by p?
4
Suppose -5*r = -2*h - 84, 8*r - 3*h - 38 = 6*r. What is the remainder when 207 is divided by r?
15
Let w = 189 - 46. Calculate the remainder when w is divided by 36.
35
Calculate the remainder when 64 is divided by ((-44)/(-6))/(6/9).
9
Suppose -421*m + 407*m = -1386. What is the remainder when 188 is divided by m?
89
Suppose -5 = -3*h + 1. Let u = -2143 + 2145. What is the remainder when u is divided by h?
0
Suppose 290 = 3*c - 7. Let x = -91 + c. Suppose -30 = -b - 5*u, 0 = -5*b + 3*b - 2*u + 36. Calculate the remainder when b is divided by x.
7
Let v(o) = -o**3 + 2*o**2 + 8*o + 2. Let n be v(-3). What is the remainder when n - (-5 + 5 + -4) is divided by 14?
13
Let u(y) = 53*y - 444. Calculate the remainder when u(10) is divided by 44.
42
Suppose -q = -3*g + 65, -5*q - 38 = -3*g + 23. Calculate the remainder when g is divided by 10.
2
Let k be (6 - 100/17) + 440/17. Suppose -f + 19 = -x, 0 = 3*f - 4*x - k - 28. What is the remainder when 86 is divided by f?
20
Let o(v) = v**3 + 8*v**2 + 9*v - 1. Let j = 100 - 104. Calculate the remainder when 104 is divided by o(j).
23
Calculate the remainder when 25 is divided by (4/(-10))/((-49)/735).
1
What is the remainder when 314 is divided by ((-44)/32 - (-6)/16)*-35?
34
Let n = 9 + 8. Suppose 31*j - 30*j = 82. Calculate the remainder when j is divided by n.
14
Let i(y) = 4*y**2 + 9*y - 9. Let l(c) = -11*c**2 - 28*c + 28. Let x(a) = 8*i(a) + 3*l(a). What is the remainder when 67 is divided by x(-11)?
21
Suppose -v + 3 = -1. Suppose -2*d - 32 = -5*y + 2*d, y - 7 = d. Calculate the remainder when y is divided by v.
0
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