. Suppose 3*u - 2*y - 241 = 0, -206 = -3*u - p*y + y. Calculate the remainder when u is divided by 20.
17
Let p(w) = 4*w**2 + 25*w + 153. What is the remainder when p(-6) is divided by 10?
7
Let r = 77 + -52. What is the remainder when 398 is divided by r?
23
What is the remainder when 47 is divided by 1*3 + (-5)/5*-4?
5
Let d(c) = c**3 - 6*c**2 - 6*c - 10. Calculate the remainder when d(8) is divided by 11.
4
Let z = 1231 - 1041. Calculate the remainder when z is divided by 99.
91
What is the remainder when 1/(-6) - (4 - 1418/12) is divided by 20?
14
Suppose -7*r + 41 = 6. Let t = 9 + 15. What is the remainder when t is divided by r?
4
Let q = 1179 - 557. What is the remainder when q is divided by 24?
22
Let c(m) = 34*m - 21. What is the remainder when c(2) is divided by 16?
15
Let n(s) = -s**3 - 30*s**2 - 35*s - 18. What is the remainder when n(-29) is divided by 18?
12
Let d(m) = -m**3 + 4*m**2 + 3*m + 9. Let i be d(4). Let b = -6 + i. Calculate the remainder when b is divided by 9.
6
Suppose -f = -4*f + 15. Let o(b) = 15*b**3 - 3*b**2 + b. Let z be o(2). Suppose -z = -6*v + v. What is the remainder when v is divided by f?
2
Let i = -2953 + 2964. Let q = 50 - -4. Calculate the remainder when q is divided by i.
10
Suppose -13*p + 230 = 10*p. Suppose -n - 5 + 3 = g, 4*n + 3*g = -3. Calculate the remainder when p is divided by n.
1
Let t be ((-1)/(10/(-12)))/((-4)/(-10)). Suppose 223 = 2*g - 5*z, t*z - 5*z + 386 = 4*g. Calculate the remainder when g is divided by 20.
19
Let n be 6/5*(-20)/(-4). Let f(a) = 4*a**3 - 4*a**3 - 2 + 6*a**2 - 2 - a**3 + n*a. Calculate the remainder when f(4) is divided by 14.
10
Let k = 177 - 87. What is the remainder when 349 is divided by k?
79
What is the remainder when (-2 - (-34)/8)*(-184)/(-6) is divided by 4?
1
Let j be 3/2 + 18/36. Suppose -k = -j*k + 7. Suppose -l = -n - 5*l + 11, 0 = n - 4*l - 27. What is the remainder when n is divided by k?
5
Suppose a = 3*a - d - 1875, d + 4680 = 5*a. What is the remainder when a is divided by 26?
25
Suppose -11*q - 1212 = -15*q. Calculate the remainder when q is divided by 84.
51
Let g(q) = -q**2 + 3*q. Let j be g(3). Suppose 43 = 4*k - 1. Let h = k - j. What is the remainder when 32 is divided by h?
10
Suppose -3*s + 44 - 248 = -4*h, 0 = -s. What is the remainder when h is divided by (4 + (-12)/30*16)/((-6)/40)?
3
Suppose 2*c + 3*b = -3*c - 79, 4*c - 2*b = -72. Let l = c - -19. What is the remainder when (-24 + 2)*(-1)/l is divided by 6?
5
Suppose -2*z + 100 = 5*g, 2*z - 44 = -3*g + 4*z. Calculate the remainder when g is divided by 5.
3
Suppose -t + 2*d + 13 = -29, 5*d = 4*t - 171. Suppose -2*k + t = 2*k. What is the remainder when 660/16 + 2/(-8) is divided by k?
8
Suppose 4*m = 2*a - 14, -4*a = 3*m - m - 78. Let f be ((-1)/(-3))/((-24)/288). Let y = a + f. What is the remainder when 38 is divided by y?
12
Let l = 466 - 453. What is the remainder when 27 is divided by l?
1
What is the remainder when 34/(-153) + 13540/18 is divided by 29?
27
Calculate the remainder when 1504/3 + 264/(-198) is divided by 21.
17
Let h(m) be the first derivative of 28*m**3/3 - m**2/2 - m - 16. Let z(o) = -o**3 - 4*o**2 + 3*o + 5. What is the remainder when h(-1) is divided by z(-5)?
13
Let c be ((-9)/3 - 54)*-1. Suppose 22 = 5*k - 3*f - 44, -3*k - 4*f = -c. Calculate the remainder when 72 is divided by k.
12
Let n(x) = -2*x**2 + 12*x + 109. Calculate the remainder when 49 is divided by n(10).
20
Suppose -176 = -4*q - 3*s + 137, q - 4*s - 102 = 0. Let y = q + -44. What is the remainder when 74 is divided by y?
36
Let q(t) = -t + 23. Let f = 51 + -29. What is the remainder when 3/5 - (-4)/10 is divided by q(f)?
0
Let x = -42 - -62. Let a(g) = 2*g - 27. Calculate the remainder when a(x) is divided by 8.
5
Suppose -36*v + 32*v - 3*o + 259 = 0, 3*o = v - 76. What is the remainder when v is divided by ((-36)/(-14))/((-1)/(-7))?
13
Let c = 197 - 163. What is the remainder when 168 is divided by c?
32
Let f(k) be the second derivative of -3*k**5/20 - k**4/12 + k**3/6 + 3*k**2/2 + 5*k. What is the remainder when f(-3) is divided by 19?
15
Suppose 5*i - 19 = -4. Suppose d - 8 = i*a, -a + 4 + 0 = d. What is the remainder when (-1 - -12)/(1/d) is divided by 14?
13
Let n(b) = b**3 + 12*b**2 + 8*b - 29. Calculate the remainder when n(-9) is divided by 10.
2
Let y = -84 - -148. Suppose 6*a + 4*n - y = 2*a, 4*n - 16 = 0. What is the remainder when 10 is divided by (a/10)/(3/15)?
4
Calculate the remainder when 14*6 + (-7 - -4 - -7) is divided by 10.
8
Suppose -4*p = -j + 2 - 4, -j + 5*p = 3. Let y be (-10)/((-3)/(-2) - j). Suppose -12 = -4*t, y = 3*o + 2*t - 91. Calculate the remainder when o is divided by 9.
8
Let x(z) = z**3 + 9*z**2 - 7*z + 3. Let d be x(-9). Calculate the remainder when 54/36 + d/4 is divided by 11.
7
Suppose -9*x = -x - 72. Calculate the remainder when x is divided by 1.
0
What is the remainder when 6 + 1290/12*30 is divided by 14?
11
Let r(m) = m**3 - m**2 - 13*m + 46. Calculate the remainder when r(5) is divided by 5.
1
Let a = 12 - 4. Calculate the remainder when a is divided by (0/1 - -20)*(33 - (-5633)/(-172)).
3
Let x(v) = 25*v**3 + 18*v - 19. Calculate the remainder when x(3) is divided by 79.
78
Suppose 2 = -0*n - n. Let d = 1 - n. Suppose g = -d*g + 20. What is the remainder when 12 is divided by g?
2
Suppose 5*c + 3*j - 90 = 2*c, 2*c - 4*j = 66. Suppose 4*f - c - 89 = p, 2*f - 70 = -2*p. What is the remainder when 92 is divided by f?
30
Suppose -6*d = -4*d - 4. Let c = 81 + d. What is the remainder when c is divided by 28?
27
Suppose 4 = -3*c + 5*r + 2, 34 = 5*c + r. Suppose 113 + 157 = c*a. Calculate the remainder when 177 is divided by a.
42
Suppose 4*l + 51 = 5*x, 3*x + 2*l - 27 = -2*x. Let k(y) be the first derivative of 3*y**2/2 - 5*y + 1. Calculate the remainder when 46 is divided by k(x).
14
Calculate the remainder when 135/(-12)*100/(-15) is divided by 19.
18
Suppose 39*m - 2673 = 10119. What is the remainder when m is divided by 48?
40
Let i = -8 + 10. Suppose -2*v - i = 28. What is the remainder when 22 is divided by (v/10)/((-3)/16)?
6
Let r be (-3 - (-3 + 2))*(-15)/10. Suppose 32 = x - 2*v - 23, -r*v = -x + 60. Calculate the remainder when x is divided by 17.
11
Suppose 0 = 125*q - 37478 - 14647. What is the remainder when q is divided by 30?
27
Let k = -465 - -551. What is the remainder when k is divided by 9?
5
Suppose 6*b - 33 = -3. Let l(c) = 2*c - 1. Calculate the remainder when b is divided by l(2).
2
Let w(g) = -g**2 + 11*g - 16. Calculate the remainder when 45 is divided by w(4).
9
Let r = -48 - -94. Let l = r - -2. What is the remainder when 189 is divided by l?
45
Let g(o) = -o**2 - 7*o - 6. Let r be g(-3). Suppose 0 = -m + r + 30. What is the remainder when m is divided by 16?
4
Let j = -151 + 168. Suppose -j*i - 89 + 803 = 0. Calculate the remainder when i is divided by 4.
2
Let f be 40*(15/6 + -1). Let s = -17 + f. Calculate the remainder when 125 is divided by s.
39
Let p(i) = -10*i - 5 + 14*i - 11. What is the remainder when 5 is divided by p(5)?
1
Let b(d) = -d**3 + 25*d**2 + 6. Let x be b(25). Suppose 4*v + x*o = o + 109, 3*v = o + 58. Calculate the remainder when 104 is divided by v.
20
Suppose 0 = 5*b - 3*m - 154, 33 = -3*b - 3*m + 135. Calculate the remainder when 82 is divided by b.
18
Calculate the remainder when 24 is divided by (-2 + -2)/((-320)/75 - -4).
9
Let j(s) = s**3 - 7*s**2 + 13*s + 8. Calculate the remainder when 169 is divided by j(3).
4
Let f = 59 - 40. What is the remainder when 4/60*(-30)/(-6)*111 is divided by f?
18
What is the remainder when 2 + -1 + 47 + -2 is divided by (13/((-637)/(-112)))/(1/7)?
14
Let f = -7 - -24. Calculate the remainder when -33*1/(-3)*(1 - -2) is divided by f.
16
Calculate the remainder when ((-91)/35)/((-6)/510) is divided by 43.
6
Let x = 76 + -51. What is the remainder when x is divided by (-2)/(-2 + 24/13)?
12
Let c = -9 - -22. Let i = -16 + 79. What is the remainder when i is divided by c?
11
Let i = 119 + -114. Suppose v - 118 = -5*b, -v - v - 4 = 0. Calculate the remainder when b is divided by i.
4
Let v(a) = -a**3 - 12*a**2 - 9*a + 8. Let f be v(-11). Calculate the remainder when 764/3 + f/21 is divided by 51.
50
Let h = -177 + 242. What is the remainder when h is divided by 19?
8
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