9. Calculate the remainder when n(-5) is divided by 142.
50
Suppose 11*f - 637 - 371 = -101*f. Let n(q) = -4*q**3 - 3*q**2 - 3*q - 2. What is the remainder when n(-2) is divided by f?
6
Suppose -13*v + 12312 = -17*v + 23*v. What is the remainder when v is divided by 190?
78
Suppose -4*b = -4*y - 156, 4*b = 5*y + 47 + 106. Calculate the remainder when 5 - ((-9)/4)/(b/1792) is divided by 35.
31
What is the remainder when 73 is divided by (-208)/(-7) - ((-8)/12 + (-56)/(-147))?
13
Suppose 0 = 555*h - 189168 - 407457. What is the remainder when 4302 is divided by h?
2
Calculate the remainder when 122 is divided by ((-10320)/(-180))/(8/6).
36
Suppose 157 = 48*g - 563. Let c(v) = -72*v + 1. What is the remainder when c(-1) is divided by g?
13
Let g(u) = 10 + 27*u + 5 - 2. Let w be g(8). Suppose -s - w = -3*t, -s + 244 = 3*t + s. Calculate the remainder when t is divided by 16.
14
Let y = -835 + 2294. What is the remainder when y is divided by 10?
9
Suppose -129*s = 68*s - 59*s - 13800. What is the remainder when s is divided by 2/(4/78) - 1?
24
Suppose 0 = -14*b + 5941 - 2441. Calculate the remainder when b is divided by 7.
5
Let k(z) = 2*z**2 + 34*z + 115. Calculate the remainder when 955 is divided by k(-3).
25
Suppose 0 = -3*t - 2*a + 112, 3*t = -8*a + 3*a + 109. Suppose -25 = -5*k, 0*f - 5*k = 3*f - 64. Calculate the remainder when t is divided by f.
12
Let z = 30 - 18. Let x(q) = 4*q - 2. Let g be x(4). Let a(m) = m**2 - 13*m + 20. Calculate the remainder when a(g) is divided by z.
10
Let v be 52482/(-78) - 12/78. Let u = -424 - v. Calculate the remainder when u is divided by 7.
4
Let b(p) = p**2 + 7*p + 6. Let f be b(-6). Suppose -805 + 69 = -16*i. What is the remainder when i is divided by 22 + (5 - 2) + f?
21
Suppose 580 + 11145 = 35*f. What is the remainder when f is divided by 110?
5
Let t = 6 - 12. Let y(b) be the first derivative of -b**3/3 - 3*b**2 + 8*b + 54. Calculate the remainder when y(t) is divided by 3.
2
Suppose -5*a + 6*a = 0, 4*a + 28 = 4*n. Calculate the remainder when n*7/49 - -82 is divided by 48.
35
Let b be 20*9 - (-378)/(-54). Suppose 23 - b = -15*d. Calculate the remainder when 49 is divided by d.
9
Suppose -15789*v + 15776*v + 8450 = 0. Calculate the remainder when v is divided by 248.
154
Calculate the remainder when 1410 is divided by 100 - 6 - 4 - 12/2.
66
Suppose 6*u - 2574 = -u - 11*u. Calculate the remainder when u is divided by 33.
11
Let d(q) = 2*q**2 - 25*q + 13. Suppose 61 - 73 = -z. Let i be d(z). Calculate the remainder when 79 is divided by (-2)/(-5 - i)*48.
15
Let y(t) = -2*t**3 + 14*t**2 + 4*t + 4. Let r(z) = z**3 + 4*z**2 - 7*z - 3. Let p be r(-5). What is the remainder when y(p) is divided by 7?
4
Suppose 3*c = 8*c + 10, 4*n - 5*c = 18. Suppose 7*l + 7 = n*l + 4*a, l + 3*a = 10. Calculate the remainder when 5 is divided by 3/((-32)/(-20) - l).
0
Let j be (-3 - -1)*(-1 - 3). Suppose 460 = j*v - 292. What is the remainder when 1503 is divided by v?
93
Let r = 937 - 937. Suppose -5*o + 117 - 67 = r. What is the remainder when 52 is divided by o?
2
Let n(v) = 5*v**2 + 44*v - 92. Let l(o) = 39*o**2 - o + 2. Calculate the remainder when l(2) is divided by n(2).
12
Suppose 6628 = -79*h + 83*h. What is the remainder when h is divided by 13?
6
Let v(h) = h**2 + 2*h - 16. Suppose 8*x - 5*x + 5*l + 36 = 0, 3*l = -5*x - 44. Calculate the remainder when 186 is divided by v(x).
15
Let n = -45 + 55. Suppose -2*a + 5*v = -32, a - 10 + 1 = -v. Calculate the remainder when ((-8)/(-10)*1025/n)/2 is divided by a.
8
Let y be (64/(-6))/(32/(-48)). What is the remainder when 4 is divided by (1/(21/6))/(y/224)?
0
Let i(o) = 34*o**2 - o**3 - 28*o**2 + 11*o + 2*o - 38. Let s = 33 + 9. What is the remainder when s is divided by i(7)?
2
Let x(p) = -2*p + 7. Let u be x(5). Let o = 5085 + -5019. What is the remainder when o is divided by (46/(-3))/(2/u)?
20
Let y be (-3)/6*3*-2. Suppose 4*l + 3*k - 4 = 68, 2*l + y*k = 42. Suppose 0 = 11*z + 21*z - 1888. What is the remainder when z is divided by l?
14
Let y(t) = t**3 - 19*t**2 - 2*t + 14. Let g be y(19). Let d(w) = -4*w**2 - 99*w + 5. What is the remainder when 229 is divided by d(g)?
75
Suppose -1091 = -99*h + 2671. Calculate the remainder when 21393 is divided by h.
37
Let x(t) = t**2 - 8*t - 6. Let j be x(9). Suppose -17 - 16 = -j*g. Calculate the remainder when (-258)/8*(-32)/24 is divided by g.
10
Let x(h) = -13*h + 78. Let i be x(6). Let y(z) = 18*z + 30. What is the remainder when y(i) is divided by 7?
2
Let r = 21 - 7. What is the remainder when (-6)/(-8 - -10 - -4)*33/(-1) is divided by r?
5
Suppose 0 = -2*d + o + 641, 3*o = -12*d + 14*d - 651. What is the remainder when d is divided by 24?
6
What is the remainder when ((-15)/30 - 1)*-414 is divided by 83?
40
Suppose -3*r + 696 = 4*y, r - y = 331 - 92. Calculate the remainder when 720 is divided by r.
12
Let t be 16/(-6)*(-45)/(-20)*-10. Suppose -p = -6*p + t. Suppose 0 = -2*b + 2, 26 = 4*f + 2*b - p. Calculate the remainder when 26 is divided by f.
8
What is the remainder when 96 is divided by 3/4*(-3 - 25/(-3))?
0
Let y = -4 + 9. Calculate the remainder when (-4)/((y/80*4)/(-4)) is divided by 23.
18
Let v(u) = u**3 - 56*u**2 + 792*u + 79. Calculate the remainder when v(30) is divided by 138.
25
Let l(s) = 3*s + 65. Let d be l(-23). Let c(m) = 16*m - 3. Calculate the remainder when c(4) is divided by (-1 - 3)/d + (16 - -4).
19
Let i = 766 - 683. Calculate the remainder when i is divided by 28.
27
Suppose -5 = 3*a + 5*x, -1 = 5*x - 4*x. Suppose a = -6*t - t + 385. What is the remainder when 272 is divided by t?
52
Let z(n) = 58*n - 59. Let w be z(9). Let v = -438 + w. What is the remainder when 223 is divided by v?
23
Let f = 9195 + -9181. Let a(m) = -m + 8. What is the remainder when f is divided by a(6)?
0
Suppose 13*r + 660 = r + 28920. Calculate the remainder when r is divided by 19.
18
What is the remainder when (-54)/(-32)*26 + (-58)/(-464) is divided by 25?
19
Suppose -y = -3*d - 13 + 1, y = -2*d - 3. Let a(r) = -114*r - 151. Calculate the remainder when a(d) is divided by 62.
5
Let n(y) = -167*y + 559. What is the remainder when 37234 is divided by n(3)?
56
Suppose 0*u + 27 = -3*u. Suppose -123*t = -122*t - 4*i - 20, t = -2*i + 38. What is the remainder when 376/6 + 6/u is divided by t?
30
Suppose -c + 49 = 3*v - 50, 212 = 2*c - v. Let s be (4/(-10))/((-7)/c). Calculate the remainder when 182/s + (-14)/42 is divided by 16.
14
Suppose -2*t - 2*t + 136 = -4*w, 0 = 3*w. Let x be (-21)/21*19/1. Let j = x + t. Calculate the remainder when 88 is divided by j.
13
Let w = 12197 - 11776. Calculate the remainder when w is divided by 119.
64
What is the remainder when (2/3)/(24*23/262476) is divided by 4?
1
Let a be 4 + -7 + (5 - -1). Let j(b) = -3*b**2 + 8*b + 12. What is the remainder when (-131)/(-4) - (-2)/8 is divided by j(a)?
6
Suppose -3*j - q + 521 = 0, 12*j + 4*q = 11*j + 181. Calculate the remainder when j is divided by 4.
1
Suppose 13*l - 7595 = 27544. Calculate the remainder when l is divided by 26.
25
Suppose 0 = -5*l - 2*a + 2025, 0 = 2*l + 4*a - 266 - 528. Calculate the remainder when 1230 is divided by l.
9
Let z be 2877/15 + (-1)/(-5). Suppose 6*s + 2*d = 9*s - 600, s - z = -2*d. Calculate the remainder when s is divided by 40.
38
Suppose -20 = -0*s - s. Let o = 120 - 82. Suppose 0 = 4*g + m - 224, -5*g + 242 = -2*m - o. What is the remainder when g is divided by s?
16
Let a = -173 + 177. Let i(j) = -j**3 + 7*j**2 + 6*j - 16. Calculate the remainder when 109 is divided by i(a).
53
Let v(k) = 91*k - 618. What is the remainder when 330 is divided by v(7)?
7
Suppose t - 3*p - 1543 + 718 = 0, t - 5*p - 837 = 0. What is the remainder when t is divided by 93?
63
Suppose -4*g + 70*q = 74*q - 32, -3*g + 5*q + 16 = 0. What is the remainder when 369 is divided by g?
5
Let y(d) = -12*d + 741. What is the remainder when y(32) is divided by 91?
84
Suppose 3*a - 2615 = -2*k, 1745 = 2*a - 0*k + 3*k. Calculate the remainder when a is divided by 431.
9
Let v(q) = 93*q + 87. What is the remainder when v(7) is divided by 104?
10
Let b(o) = 11*o**2 - 87*o + 610. What is the remainder when b(6) is divided by 138?
70
Suppose 0 = -2*n - 5*y + 24, -3 = 4*n - 3*y + 1. Let m(o) = -o**3 + 26*o**2 - 133*o + 25. Calculate the remain