the remainder when g is divided by 7.
1
Let v(s) = -s**3 + 9*s**2 - 8*s + 4. Let m be v(8). Let r(b) = 5*b + 0*b - 9 - 4*b - m*b. Calculate the remainder when 23 is divided by r(-5).
5
Let u(y) = -2*y**2 - 5*y - 5. Let s be u(-2). What is the remainder when 12/18 + (-32)/(-6) is divided by ((-24)/(-3))/1 + s?
1
Suppose 0 = -5*u - 2*r + 350, -u - 4*r + 52 = -0*u. Calculate the remainder when u is divided by 19.
15
Let z(m) = m + 4. Let j(k) = -k**3 + 7*k**2 + 10*k + 4. Let v be j(8). Calculate the remainder when 93 is divided by z(v).
21
Suppose -v = -3*y - 21, -5*v - 3*y + 32 = -55. What is the remainder when v is divided by 14?
4
Suppose 3542 = 45*k + 32*k. Let j = -13 - -29. Calculate the remainder when k is divided by j.
14
Suppose 35 = 7*f - 2*f. Suppose 0*l - 40 = 2*g - 4*l, 4*g + 20 = -4*l. What is the remainder when g/(-95) - (-2380)/133 is divided by f?
4
Let r = 702 - 630. Calculate the remainder when 235 is divided by r.
19
Suppose 3*h + 282 = 3*w, 2*w = 3*w + h - 100. What is the remainder when w is divided by -1*1 - (-22 - -11)?
7
Suppose 16 = 4*g, u + 0*u = 3*g + 4. What is the remainder when 111 is divided by u?
15
Suppose 5*l - 26 = 2*m, -l + 12 = -4*m - 4. Calculate the remainder when 21 is divided by (10 + -2)*l/8.
1
Let m be -3*-3*(-3)/9. Suppose 3*o - 5 = 2*f - 44, -44 = -2*f + 4*o. Calculate the remainder when 126/3 - m/1 is divided by f.
9
Let a = 45 + -42. Suppose 0 = 2*k - a*t - 93, 0 = 2*k - k - 2*t - 45. What is the remainder when k is divided by 11?
7
Let n = 43 - 30. Suppose n*z - 15*z + 236 = 0. Calculate the remainder when z is divided by 20.
18
Suppose 0 = 2*w + 4*c - 3*c - 8, 2 = 3*w - c. Suppose -28 + 2 = -w*a. Calculate the remainder when 77 is divided by a.
12
Suppose 0*a = 5*a + 75. Suppose -3*n + 5*h - 11 = -5*n, 5*h + 25 = 0. Calculate the remainder when n is divided by (a/4)/((-12)/32).
8
Suppose p = 4*k + 250, p = -k - 0*k + 255. Suppose p = 4*d + 18. What is the remainder when d is divided by (-1*3)/(42/(-140)) - -5?
14
Suppose f + 2*s = -8 + 1, -5*f - 4*s = 5. Suppose -f*t - 2*t + 520 = 0. Suppose -16*g = -59*g + 903. Calculate the remainder when t is divided by g.
20
Let z be (-3 + 17 - 0) + 1. Suppose -12*g - 195 = -z*g. What is the remainder when g is divided by 22?
21
Let k = -18 - -55. Let y(n) = n**3 + 8*n**2 + 5*n + 6. Calculate the remainder when k is divided by y(-7).
17
Suppose 5 + 0 = -i + t, 3*i + 19 = 4*t. Let l(z) = -5*z - 3. Let b be l(i). Suppose -b*q + 7 = -11. Calculate the remainder when 13 is divided by q.
4
Let d(w) = w**3 + 17*w**2 + 15*w + 1. Let n be d(-15). Suppose q - 3*q = -4*k + 272, -3*k = 4*q - n. Calculate the remainder when k is divided by 18.
16
Suppose -t + 48 = 4*z, -2*z + 30 = -0*t + 2*t. What is the remainder when (64/3)/((-36)/(-54)) is divided by z?
10
Let k(q) = -2*q - 11. Let l(s) = s. Suppose 5*c = 2*w - 2 + 6, 0 = 2*c - 4. Calculate the remainder when k(-9) is divided by l(w).
1
Let j be ((-1179)/12)/((-3)/8). Let g = j - 135. Suppose -3*s - 2*t = -g, -4*s + 168 = 7*t - 3*t. Calculate the remainder when s is divided by 15.
13
Let o(v) = -3*v + 3*v - 7 + 2*v - 5*v. Let n be o(-4). Let j = n - -2. Calculate the remainder when j is divided by 4.
3
Suppose -4*u + 57 + 19 = 0. Let i(n) = 25*n - 1. What is the remainder when i(3) is divided by u?
17
Calculate the remainder when 9/(-36) - ((-770)/8 - 1) is divided by 50.
47
Suppose -3*l + 5*k = -l - 32, 5*l + 4*k = 47. Suppose d + 25 = 5*n, d = -2*n + n + l. Calculate the remainder when n is divided by 4.
2
Let d = 140 - 89. Suppose -u + 3*u - 108 = 0. Suppose -2*g - 120 = -5*l, -g + u = 5*l - 81. Calculate the remainder when d is divided by l.
25
What is the remainder when 105 is divided by (-15)/(-12) + (-402)/(-24)?
15
Let t(m) = 4*m + 8. Let b be t(11). Let o = -37 + b. Suppose 2*w = 2*h + h + 45, -93 = -4*w + 5*h. What is the remainder when w is divided by o?
12
Let m = 13 - 20. Let g(i) = 3*i**2 + 13*i + 3. What is the remainder when g(m) is divided by 21?
17
Let r(f) = -f**3 + 7*f**2 + 19*f - 15. Let i be r(6). Suppose 3*t = -6*t + i. What is the remainder when 28 is divided by t?
13
Let h be 14365/(-20) - (-6)/(-8). Let o = -479 - h. Calculate the remainder when 30 is divided by o/36*(-24)/(-10).
14
Suppose -22 = -8*d + 154. What is the remainder when 43 is divided by d?
21
Let k(o) = -o**2 - 2*o + 3. Let u be k(0). What is the remainder when (-26)/(u - 7/2) is divided by 27?
25
Suppose 76 + 77 = 3*g. Let m = 73 - g. Let j = m + -13. Calculate the remainder when 26 is divided by j.
8
What is the remainder when 29 - 36 - 20*-12 is divided by 17?
12
Let n(j) = j**2 - 8*j - 7. Let y be 31 + 2 + (-9)/3. Suppose -y = q - 4*q. Calculate the remainder when 49 is divided by n(q).
10
Suppose -c - 14 = -2*i - 3*c, -c = -4*i + 33. Suppose 0 = -3*g + 42 + 48. Suppose g = i*f - 3*f. Calculate the remainder when f is divided by 2.
0
What is the remainder when 60 is divided by ((-69)/92)/((-3)/20)?
0
Let r be ((-11)/2)/(6/(-48)). Suppose m + 14 = r. Let p = m - 16. Calculate the remainder when p is divided by 8.
6
Let h be 13/2 + (-3)/6. Let n(z) = z**2 - 4*z - 7. Let r be n(h). Let c(v) = -v**2 + 10*v. What is the remainder when 74 is divided by c(r)?
24
Suppose 30*j + 31*j = 53*j + 128. Suppose 0 = -2*c - 4*l + 74, 0 = -5*l + 21 - 1. Calculate the remainder when c is divided by j.
13
Suppose -40 = -4*q + 6*d - 4*d, -q = 5*d - 21. What is the remainder when 262 is divided by q?
9
Let t = -299 - -314. Suppose 10 = -2*z + h, 5*h - 33 + 4 = 3*z. What is the remainder when (-4)/(-3)*-7*z is divided by t?
13
Let r(q) = -q**3 + 5*q**2 + 6*q - 9. Calculate the remainder when 419 is divided by r(5).
20
Suppose x - 146 - 61 = 4*y, 4*x + 5*y - 849 = 0. What is the remainder when x is divided by 15?
1
Suppose 0 = 3*t - 6*t, -24 = 3*u + 2*t. Let h(w) = -w**2 - 8*w + 6. Let l be h(u). What is the remainder when 43 is divided by l/(-9)*33/(-2)?
10
Let p = 1619 + -1608. Suppose -4*t - t + 167 = 4*n, 64 = 2*n - 4*t. What is the remainder when (n - -2)*4/5 is divided by p?
10
Suppose -3*k = -0*k - b - 280, -2*k + b = -188. Calculate the remainder when 1377 is divided by k.
89
Let h be (0 - 2)/(-2 + 3). Let x = 2 - h. What is the remainder when 5 is divided by x?
1
Suppose 4*k + 8 = 0, 4*z - k - 7 = 15. Let h(b) = b**2 + 3*b - 12. Suppose u = a - 11, 5*a - 37 = -3*u + 10. Calculate the remainder when h(z) is divided by a.
8
What is the remainder when 39 is divided by 8/18 - (-70)/126*19?
6
Let d(j) = 2*j**2 + 24*j - 31. What is the remainder when 221 is divided by d(-14)?
21
Calculate the remainder when 2/4 - (-40950)/60 is divided by 53.
47
Suppose -7*n + 18 = -n. Suppose -n*f + 5*f = 4. What is the remainder when 5 is divided by (f - (-3)/1) + -2?
2
Let z = 713 + -656. Calculate the remainder when 115 is divided by z.
1
Calculate the remainder when 6 - (-909)/(-5 + 14) is divided by 35.
2
Calculate the remainder when 161 is divided by -2 - (-84 + 0/(-1)).
79
Let i(n) = -n**3 - 12*n**2 + 7*n + 152. Calculate the remainder when 254 is divided by i(-12).
50
Let q(m) = 6*m**2 - 3*m + 5. Let f be q(3). Let s = f + -43. What is the remainder when 24 is divided by s?
3
Let c = 17 + -15. Let w = 5 + c. Let x = -64 - -91. What is the remainder when x is divided by w?
6
Suppose 5*b - 6 = 3*b. Suppose b*n = -3, -2*v + 2*n = 6*n - 6. What is the remainder when (-264)/(-32) - 3/12 is divided by v?
3
Let c(f) = 2*f**2 - 11*f - 58. Calculate the remainder when c(-11) is divided by 44.
41
Let q = -8 + 98. Suppose 33*j - 703 = -4*j. What is the remainder when q is divided by j?
14
Suppose 0 = -4*t - 18 - 6. Let i be t/(-8)*8/3. What is the remainder when i/(1/(-75)*-3) is divided by 13?
11
Let i = 2738 - 320. What is the remainder when i is divided by 121?
119
Suppose -4*n + 8*n + 203 = w, 0 = -w + n + 215. Calculate the remainder when w is divided by 8.
3
Suppose 4*k = 2*p - 3*p + 92, -5*k - 4*p = -115. Let t = k + 19. Calculate the remainder when 124 is divided by t.
40
Suppose -44*b = -27*b - 6103. Calculate the remainder when b is divided by 72.
71
Suppose -2*n + 30 = 3*n. Let s be (-1 - -37)*1/2. Let q(f) = f**2 - 20*f + 38. Calculate the remainder when n is divided by q(s).
0
Suppose -o = -3*o + 6. Let y(t) = -t**2 + 14*t + 315. Calculate the re