1.
34
Suppose -5*g - 2*m + 445 = 0, -5*g + 445 = -5*m - 0. Calculate the remainder when g is divided by (18 - 13)*-3*46/(-30).
20
Let y(n) = n**3 + 7*n**2 + 5*n - 3. Let h be y(-6). Suppose h*z + 3 = 5*g + 2*z, -3*g + 9 = -3*z. Calculate the remainder when 1*(51 + 2 - g) is divided by 14.
11
Suppose d + 102 = 3*d. Let g = -255 + 378. Suppose -5*f = 2*h - g, -d = -4*f + h + 37. Calculate the remainder when f is divided by 13.
10
Let z(u) = -u**2 - u + 7. Let c be z(0). Suppose -12 = -3*v + c*v. Calculate the remainder when 107 is divided by 28 + 0 + 3/v.
26
Suppose 160 = 5*l + 5*j, -3*l + 100 = -7*j + 11*j. Suppose -12 = -h + 42. What is the remainder when h is divided by l?
26
Let u(n) = -n**2 + 11*n + 20. Let w be 1/(-1 + (-28)/(-29)). Let r = w + 42. Calculate the remainder when u(6) is divided by r.
11
Suppose -3*l + 537 = 4*w - 531, 3*w - 1431 = -4*l. Suppose 2*y - d - 186 = -4*d, 4*y + 3*d - l = 0. Calculate the remainder when y is divided by 23.
18
Let y = 191 - 178. What is the remainder when 22 is divided by y?
9
Suppose 47*j - 9434 = 4055. What is the remainder when j is divided by 74?
65
Let p(q) = -5*q**3 - 5*q**2 - 4*q - 1. Calculate the remainder when p(-2) is divided by 8.
3
Suppose -2*c + 51 = 3*b - 230, 4*c = 3*b - 311. What is the remainder when b is divided by (278/7)/2 - (-1)/7?
17
Suppose -19*z - 263 = -662. What is the remainder when 251 is divided by z?
20
Suppose -5*j - 2*v + 0*v = -3018, -4*v = -3*j + 1816. Calculate the remainder when j is divided by 21.
16
Let v = -28 - -75. Suppose 2*m - 85 = -3*z, 5*m - 187 = -5*z - v. Suppose r + 2*r - 45 = 0. What is the remainder when z is divided by r?
14
Calculate the remainder when 116 is divided by ((-1 - 3) + 12)*(-3 + 8).
36
Calculate the remainder when 274 is divided by (-1 - (-8 - 138)) + -11.
6
Suppose 4*p + 530 = -p - 2*t, 0 = -p - 2*t - 106. Let d = p - -209. What is the remainder when d is divided by 21?
19
Suppose -10*u + 332 = -6*u. Calculate the remainder when u is divided by 17.
15
Let d = -7 + 10. Suppose 2*p = d*u + 49, 0*u = 2*u - 6. Calculate the remainder when p is divided by 11.
7
Suppose -17*i + 6971 = 2381. What is the remainder when i is divided by 72?
54
Suppose -5*v + 2*u - 4*u + 83 = 0, -2*v - 2*u + 32 = 0. Suppose 5*y + k = 2*k + 312, 5*y - 302 = -4*k. Calculate the remainder when y is divided by v.
11
Suppose -o - 2*i + 33 = 0, -3*o + 96 = 5*i - 7. Suppose -y + 356 = o. Suppose -y = -4*w - w. Calculate the remainder when w is divided by 16.
15
Let w = -17 - -11. Let y = w + 9. Calculate the remainder when 4 is divided by y.
1
Suppose 7 = 3*q + 1. Calculate the remainder when 9 is divided by q.
1
Let p be ((-2)/(-1)*-2)/((-44)/(-726)). Let c = p - -124. Calculate the remainder when c is divided by 34.
24
Suppose 5*u = -0*u + 20. Let w(g) = g**3 - 2*g**2 - 4*g + 10. What is the remainder when w(u) is divided by 16?
10
Suppose g + z - 30 = 0, g - 7*z = -3*z + 5. What is the remainder when 66 is divided by g?
16
Suppose -4*b - 6*b = -40. Suppose -3 = 4*l - 3*l, b*l - 4 = -4*j. What is the remainder when 27 is divided by j?
3
Let f(g) be the third derivative of g**4/6 - 3*g**3 + 31*g**2. Calculate the remainder when f(14) is divided by 22.
16
Let g = 44 + -40. Let c = g + 34. Calculate the remainder when 74 is divided by c.
36
Suppose -6 = -3*a + a. Suppose 0 = -a*f + 4*f - 4*k - 35, -4*f + 4*k + 164 = 0. Let s(w) = -8*w - 121. What is the remainder when f is divided by s(-17)?
13
Calculate the remainder when -2*(-14 + 9) - 1*2 is divided by 4.
0
Let c be 0 - 0*5/(-20). Suppose 4*w - w - 117 = c. What is the remainder when w is divided by 20?
19
Let g be 27 + (0 + -1)*1. Suppose -100 = -5*y - 0*y. Let o = g + y. Calculate the remainder when o is divided by 16.
14
What is the remainder when (18/(-15))/(5 - 755/150) is divided by 23?
13
Suppose 194*d = 190*d + 88. Calculate the remainder when d is divided by 3.
1
Let p(h) = -h**3 - 5*h**2 - h + 3. Let a be p(-3). Let v = -13 - a. Let f = 24 + v. Calculate the remainder when f is divided by 12.
11
Suppose -4*z + 5*o + 13 = -6, 3*z = -2*o + 20. Suppose -z*c + c = -2*s - 50, -4*c = -4*s - 52. What is the remainder when 29 is divided by c?
5
Let l = 12 + -8. Suppose -3*b - 3*r + 21 = 0, 4 = 4*b - 3*b + l*r. Let h = 12 - b. Calculate the remainder when h is divided by 2.
0
Suppose c - 4*c = 0. Suppose -5*l - 16 = o - 0*o, c = -5*o + 20. What is the remainder when (-2 - l) + 1 - -18 is divided by 11?
10
Calculate the remainder when ((-4)/42)/(2/(-108))*28 is divided by 49.
46
Suppose 4*r - 41 - 3 = 0. What is the remainder when r is divided by 3?
2
Let l be 5/(-1)*6/6. Let d(x) = -x**2 - 11*x - 12. What is the remainder when d(l) is divided by -6*(3 - 4) - -4?
8
Let v(f) = 3*f**2 + 16*f - 4. Suppose 22 = -q + 3*b, -5*q + 2*q - 5*b = -4. Calculate the remainder when v(q) is divided by 8.
7
Let t = -8 - -19. Calculate the remainder when 142/5 + 1 - (-4)/(-10) is divided by t.
7
Let a = -31 + 109. Suppose -2*m - m = -a. Let v = 184 + -82. Calculate the remainder when v is divided by m.
24
Suppose 0 = 144*a - 148*a + 32. Calculate the remainder when 40/a*(-142)/(-10) is divided by 6.
5
Suppose -2*o + 161 = 49. Let i(j) = 5*j - 52. Let g be i(11). Suppose -o = -4*f - 3*b, 5*f + g*b + 27 = 100. Calculate the remainder when 118 is divided by f.
16
Suppose 566 = 4*z + 154. Calculate the remainder when z is divided by 18.
13
Let t(v) = -v**3 - 7*v**2 - 5. Let s be t(-7). Calculate the remainder when (-326)/s + 5/(-25) is divided by 17.
14
Let u(g) = -4 + 24*g + 1 - 5 + 15. Let i be u(6). Let h = -53 + i. What is the remainder when h is divided by 25?
23
Let t(b) = 5*b**2 + 4*b - 3. Suppose 2 = 5*u - 8. What is the remainder when t(u) is divided by (-1 - 0)/((-2)/28)?
11
Suppose y = -6*y + 21. Suppose -4 = y*f - 5*d, f + 4*d = -4*f + 55. Calculate the remainder when 12 is divided by f.
5
Let z(o) = o**2 - 3*o - 7. Let j be z(5). Let x(f) = f**2 + 2. Calculate the remainder when x(j) is divided by 5.
1
Let p(j) = 2*j - 7. Let v be p(5). Suppose -f - 145 = -v*n, 4*f = -2*n + 3*f + 105. Calculate the remainder when n is divided by 26.
24
Let o = 513 + -449. Calculate the remainder when o is divided by 36.
28
Suppose 4*y = -9 - 195. Let g = y - -67. Calculate the remainder when 79 is divided by g.
15
What is the remainder when (-4)/(1 + 34/(-30)) is divided by 786/48 + 3/(-8)?
14
Let r be (-3 + (-48)/(-20))*-10. Calculate the remainder when 45 is divided by (32/r*-1)/((-14)/21).
5
Suppose 1237 = 25*f - 1238. What is the remainder when f is divided by 32?
3
Suppose 3*m - 5 - 7 = 0. Suppose -g - g = -m. Suppose -g*r - 3*r = -105. Calculate the remainder when r is divided by 11.
10
Suppose 5*m - 140 = -5*q, 0 = -2*q + 5*q - 2*m - 59. Calculate the remainder when 42 is divided by q.
19
Let o = -555 + 572. What is the remainder when 48 is divided by o?
14
Let d(n) = 0*n - 12*n + 11 - 3. What is the remainder when d(-5) is divided by (-284)/(-8) - 1/2?
33
Let w(l) = 2*l**2 - 27*l - 37. Let v = 6 - -9. Let d(i) = i**3 - 3*i**2 + 3*i - 5. Calculate the remainder when d(4) is divided by w(v).
7
Suppose n = 3*z - 102, -3*n + 149 = -12*z + 16*z. Calculate the remainder when 172 is divided by z.
32
Suppose -580 = -7*c + 197. Suppose c = 5*l - f, 0 = 2*l + 3*f - 34 - 24. Let h(t) = 2*t - 6. Calculate the remainder when l is divided by h(7).
7
Let f = 254 - 179. Calculate the remainder when 364 is divided by f.
64
Let p = -57 + 75. Calculate the remainder when 2/(-6) + 2288/33 is divided by p.
15
Let z(w) = w**2 + 8*w + 18. Suppose 7*c + 0*c = -56. Calculate the remainder when z(c) is divided by 10.
8
Let s = -25 - -29. Suppose s*y - 85 = -5*a, 3*a + a - 50 = -2*y. Calculate the remainder when y is divided by (2/1 + -10)*-1.
7
Let r = 318 + -165. Suppose 0 = -4*g - 16, 3*g + 0*g = -2*l + 50. What is the remainder when r is divided by l?
29
Suppose d - 101 - 51 = 0. What is the remainder when d is divided by 52?
48
Let h = -230 + 329. Suppose -4*l - 5*o + 43 = 0, -2*l + 5*o - 1 = -60. Calculate the remainder when h is divided by l.
14
Let s(g) = -2*g**2 + 5*g - 11. Let p be s(-8). Let l be (p + 5)*(-3)/6. What is the remainder when 84 is divided by l/3*(-7 - -8)?
26
Let a(b) = -b**2 - 26*b - 39. Calculate the remainder when 290 is divid