4*(-16)/4 + 7.
19
Calculate the remainder when 119 is divided by -30*((35/(-21))/(-5) - 1).
19
Let v(p) = p**3 - 12*p**2 + 11*p + 5. Let u be v(11). Suppose 0 = -u*t + t + 40. Calculate the remainder when t is divided by 3.
1
Let p(d) be the third derivative of 7*d**4/24 - 23*d**3/3 + 20*d**2. Calculate the remainder when p(10) is divided by 7.
3
Suppose 29*s - 553 = 22*s. What is the remainder when s is divided by 24?
7
Suppose 2*n = -3*r - 619, 0*r + 3*n = 4*r + 848. Let m = -118 - r. Calculate the remainder when m is divided by 19.
15
Let k = 501 + -33. Calculate the remainder when k is divided by 47.
45
Let u(i) = -2*i**2 + 2*i**2 + 4*i**2 + i**3 - 2. Suppose 6*m + 7*p - 76 = 3*p, -5*m - 5*p + 65 = 0. What is the remainder when m is divided by u(-3)?
5
Let q(v) = -v**2 - 13*v - 1. Let s(u) = -u**3 - 6*u**2 - 6*u - 4. Let z be s(-4). Let m be q(z). Let o = 18 - m. What is the remainder when 19 is divided by o?
5
Let j(g) = 4*g**3 + g. Let f be j(1). Let d(h) = -h**2 + 5*h + 4. Let a(x) = -x**3 - 8*x**2 - 8*x - 2. What is the remainder when a(-7) is divided by d(f)?
1
Let y(u) = -10*u**2 - 3*u**2 - 2*u - 2 + 8*u**2 + u**2. Let h be y(-2). Calculate the remainder when (-158)/(-14) + 4/h is divided by 3.
2
Let y be ((-20)/25)/(8/20). Let a = 29 + -21. Calculate the remainder when 78/((-6)/(-3)) + y is divided by a.
5
Let s = 2 + 10. Suppose 3*o - 12 = s. Suppose 2*a + 6 - 48 = 0. What is the remainder when a is divided by o?
5
What is the remainder when 190 is divided by (-4)/1 - 1*(1 + -13)?
6
Let u(i) = i - 3. Suppose 5*k = 4*m - 33, 3*m - 5*k = -2*k + 24. Let s be u(m). Suppose -13 = -x - s. What is the remainder when x is divided by 5?
4
Let j(p) = -p**3 + 8*p**2 - 9*p - 1. Calculate the remainder when j(4) is divided by 3.
0
Suppose -2*q - 92 + 24 = 0. Calculate the remainder when 45 is divided by (28/8 + -4)*q.
11
Let o(s) = -s**3 + s**2 + 5*s - 3. Let t(b) = b**2 + 3*b - 8. Let l be t(-4). Calculate the remainder when o(l) is divided by 12.
9
Suppose 76*v - 2*v = 40700. What is the remainder when v is divided by 29?
28
Let s = 888 - 696. What is the remainder when s is divided by 25?
17
Let i = -30 - -67. Suppose i = 8*w - 7*w. What is the remainder when w is divided by 10?
7
Suppose -3*s - 5*w + 2*w + 1284 = 0, 1288 = 3*s + w. Calculate the remainder when s is divided by 36.
34
Suppose 0 = 13*z - 3*z - 2060. Let p = -111 + z. Calculate the remainder when p is divided by 33.
29
Let a be (-1)/4*-4*0. Let v(j) = -2*j + 28. Calculate the remainder when 165 is divided by v(a).
25
Let h(z) = 158 - 2*z**2 + 9*z + 3*z**2 - 125 + 3*z. What is the remainder when 64 is divided by h(-10)?
12
Let g be (-4)/(-3) + 2/3. Suppose -g*d = -55 - 29. What is the remainder when d is divided by 11?
9
Let d = 9 - 21. Suppose -k + j + 0*j - 25 = 0, 0 = 4*k + 3*j + 93. Let h = d - k. Calculate the remainder when 35 is divided by h.
11
What is the remainder when (-23)/(-1)*(8 - (-30)/6) is divided by 43?
41
Calculate the remainder when (-1137)/(-15) - 4/(-20) is divided by 13.
11
Suppose 379 - 1199 = -20*w. Calculate the remainder when 326 is divided by w.
39
Let h(c) = -c**3 - 8*c**2 + 7*c - 14. Let l be h(-9). Suppose 0*m - l*p = -2*m + 98, -3*m + 4*p = -147. What is the remainder when m is divided by 17?
15
Let g(c) = 33 - c + c**3 - 18 - 20. Calculate the remainder when g(3) is divided by 5.
4
Let f be (3/(-4))/((-6)/16). Suppose -24 = -f*a - 0*a. Suppose 4*n + n = 20. Calculate the remainder when a is divided by n.
0
Let g = -95 - -136. What is the remainder when 122 is divided by g?
40
Let h = -23 + 32. Suppose 4*q + 1 - h = 0. Suppose 5*k + 5*f = 105, 0 = -q*f - 2. Calculate the remainder when k is divided by 6.
4
Calculate the remainder when (1/2)/((-13)/21944*-4) is divided by 43.
39
Suppose -4*m + 5*a = -150, -5*a + 35 = 2*m - 25. What is the remainder when 111 is divided by m?
6
Let y(f) = 7*f + 95. Calculate the remainder when 66 is divided by y(-13).
2
Let x be (30/18)/(-5)*-9*1. What is the remainder when (-10 + x)/(-1) - 0 is divided by 3?
1
Suppose -234 = -3*w - 5*f, f + 0*f = 3. Suppose 53 = 3*p + 4*d, -5*p = 5*d - 18 - 72. Calculate the remainder when w is divided by p.
16
Let g(h) = 107*h**3 + h - 2. Suppose -4*s + s + 5*n = -21, 0 = -4*s - 5*n + 63. What is the remainder when g(1) is divided by s?
10
Calculate the remainder when 487 is divided by 61 - 3/(-6)*(8 + -8).
60
Suppose 0*x = 5*x + 3*i - 16, 5*i = 4*x - 35. Suppose x*r - 38 = 4*r. Suppose -r = -o - m, -7*m = -5*m + 10. Calculate the remainder when o is divided by 11.
10
Suppose 2*q + 3*q - 10 = 0. Suppose 35 = 5*a + q*j, a + 0*j - 3*j - 24 = 0. Suppose 13*m - a*m - 232 = 0. Calculate the remainder when m is divided by 20.
18
Let k = -8 - -24. Calculate the remainder when 108/(-7)*(-5 - 2) is divided by k.
12
Let u(l) = 12*l**2 + 13*l + 14. Calculate the remainder when u(-1) is divided by 4.
1
Let n be (8 + 1 - -2)*-1. Let x(y) = y**2 + 11*y + 2. Let h be x(n). Suppose 0*m = -2*m + 2, -h*d + 51 = -m. Calculate the remainder when d is divided by 9.
8
What is the remainder when 1151 is divided by ((-136)/(-306))/((-2)/(-12))*9?
23
Suppose -4 = 2*a, -4*k - 5*a = k - 4335. Calculate the remainder when k is divided by 58.
57
Suppose 395*m = 394*m + 279. Calculate the remainder when m is divided by 20.
19
Suppose -3*c - 114 - 90 = -5*a, 3*a - 130 = -2*c. Calculate the remainder when a is divided by 9.
6
Let y(n) = -n**3 - 14*n**2 + 42*n + 8. Let h = 51 - 33. What is the remainder when y(-17) is divided by h?
17
Suppose a - 3*a - 570 = -4*b, -2*b - 3*a = -273. What is the remainder when b is divided by 123/(-18)*-3 - (-10)/(-4)?
15
Suppose 4*z + 2*i = 10, -i = -z - 2*i. Suppose -5*y + z*s + 45 = 0, 2*s + 34 = 3*y + 6*s. Let w = 64 - 15. Calculate the remainder when w is divided by y.
9
Suppose -78*w + 4777 + 5207 = 0. Calculate the remainder when w is divided by 26.
24
Suppose -14*b + 7*b + 91 = 0. Calculate the remainder when 35 is divided by b.
9
Suppose 0 = -b + 5*o + 61, o + 0*o - 227 = -5*b. Calculate the remainder when 87 is divided by b.
41
Suppose 0 = -22*o - 37*o + 1475. What is the remainder when 248 is divided by o?
23
Suppose -473 = d - 504. What is the remainder when d is divided by 8?
7
Let g = 103 + -105. Let d = 7 + g. Calculate the remainder when 27 is divided by d.
2
Let l be 92/(-1) + 6 + -7. Let s = l + 62. Let v = 53 + s. What is the remainder when v is divided by 13?
9
Let h = 586 - 563. Calculate the remainder when h is divided by 12.
11
Let h(w) = 2*w**3 - 65*w**2 + 34*w - 49. Suppose 5*a = 225 + 60. What is the remainder when a is divided by h(32)?
12
Let b(n) = 5*n**2 - n + 1. Let d be b(1). Suppose 53 - 3 = d*m. Calculate the remainder when 17 is divided by m.
7
Suppose 129 = u + 2*u. Suppose 2*n = u - 9. What is the remainder when 99 is divided by n?
14
Suppose -3*c - 76 = -4*y, 3*c = 2*y + y - 60. Calculate the remainder when y is divided by 11.
5
Suppose -4*j = -5*w + 989, -4*w - j + 768 = -19. What is the remainder when w is divided by 101?
96
Suppose 7*h - 1121 = 83. Calculate the remainder when h is divided by 60.
52
What is the remainder when 18*(-2)/8*-30 is divided by 20?
15
Suppose 9*y - 161 = 4*y + 3*m, -y = m - 29. Let o(r) = -8*r. Suppose -h - 1 = 1. Calculate the remainder when y is divided by o(h).
15
Suppose d - 6*d + 65 = 0. Suppose 5*w + d - 3 = -x, -w = 3*x + 16. Let h = w + 13. Calculate the remainder when h is divided by 7.
5
Let w(f) = 31*f - 25. Suppose -13*n + 76 + 54 = 0. Calculate the remainder when w(2) is divided by n.
7
Suppose 0 = 3*n - 2*w - 556, -8*n = -5*n - 5*w - 571. What is the remainder when n is divided by 56?
14
Let g = 11 + -9. Let k(j) = j**2. What is the remainder when 5 is divided by k(g)?
1
Suppose 7*d - 14*d + 7196 = 0. Suppose d = -233*p + 237*p. Calculate the remainder when p is divided by 37.
35
Let f(m) be the first derivative of 8*m**3/3 + m**2 + m - 10. Calculate the remainder when f(2) is divided by 10.
7
Calculate the remainder when 96 is divided by ((-330)/60)/(-1 + (-5)/(-6)).
30
Suppose 4*v = -3*d - 39, 2*v - d = 3*d + 8. Calculate the remainder when (-1 - -1) + (-3 - -41) is divided by (-18)/(-12)*(-40)/v.
8
Suppose -4*n - 2 = b - 19, 3*b = -3*n + 78. What is the remainder when 374 is divided by b?
26
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