4 + 0). Suppose n + b*v = -v + 18, 2*v + 66 = 4*n. Calculate the remainder when 42 is divided by n.
8
Let v(m) be the first derivative of 1/4*m**4 - 4 + 2*m**2 - 4*m**3 - 14*m. What is the remainder when 65 is divided by v(12)?
31
Let l(r) = r**2 - 10*r + 14. Let p be l(-11). Suppose 0 = 3*j + 53 - p. Suppose -244 + j = -5*d. Calculate the remainder when d is divided by 10.
6
Let s = 19 - 0. Suppose -23*b + 12 = -s*b. Suppose -3*f - 147 = -b*h, h + 5*f - 163 = -2*h. What is the remainder when h is divided by 13?
12
Let y(h) = -h**3 + 6*h**2 - 5*h + 1. Let g be 188/32 - (-1)/8. Let f = g - 2. What is the remainder when y(4) is divided by f?
1
Suppose 42*a = 9904 - 3646. Calculate the remainder when a is divided by 39.
32
Let d(l) = 7*l**2 - 5*l + 3. Let p(w) = -6*w**2 + 4*w - 4. Let s(f) = 7*d(f) + 6*p(f). Calculate the remainder when s(-3) is divided by 37.
36
Suppose 2 = 3*n + f + 15, -n - 31 = -5*f. What is the remainder when 50 is divided by n/8 + (-2)/((-48)/330)?
11
What is the remainder when (1 - 0)*(-26846)/(-62) is divided by 87?
85
What is the remainder when (-21)/6 + (-19100)/(-40) is divided by 30?
24
Let r be (-8)/5*(-950)/20. Suppose 5*s - 4*p - r = 0, 3*s - 48 = -0*s + 3*p. Suppose -5*g + 3 = -167. Calculate the remainder when g is divided by s.
10
Suppose 0 = -4*a + 3*s + 21 + 5, -a - 2*s + 1 = 0. Let c = a + 14. What is the remainder when 113 is divided by c?
18
Let k(x) = 146*x**2 + 10*x - 4. What is the remainder when k(1) is divided by 14?
12
Let g = 15 + 8. Calculate the remainder when g is divided by 12/45*3836/112 + 4/(-30).
5
Let j = -87 - -91. Suppose j*f = 10*f - 108. What is the remainder when 59 is divided by f?
5
Let u(n) = n**2 - 1. Let a(h) = 2*h - 29. Let z be a(16). Calculate the remainder when 10 is divided by u(z).
2
Suppose 24 - 48 = -3*a. Calculate the remainder when 59 is divided by a.
3
Let u(t) = 3*t**2 - 2*t**2 + t**3 + 4 + t**2. Let m be u(-3). Calculate the remainder when 47 is divided by 2/(-10) + (-81)/m.
15
Let x(f) = f**2 + 8*f + 3. Let i be x(-7). Let s = i + 9. Suppose -v + 48 = s*y, 5*v + 2*y = 3*v + 56. Calculate the remainder when v is divided by 8.
7
What is the remainder when (4/(-1))/(-4*4/248) is divided by 16?
14
Suppose 130*a = 123*a + 294. Calculate the remainder when 670 is divided by a.
40
Suppose -5*o - 3*u = -184, 80 = -33*o + 35*o - 2*u. Calculate the remainder when o is divided by 10.
8
Suppose -m + 1243 = 5*u - 787, m = 0. Calculate the remainder when u is divided by 82.
78
Let d(t) = t**3 + 9*t**2 - t + 1. Let p be 1/(-3) - (-48)/9. Suppose 5*a = 5*g - p, 0 = 2*g + a - 2*a - 7. What is the remainder when d(-9) is divided by g?
4
Suppose 0 = 4*i + 9 + 15. Let c be i/4*20/(-15). Suppose 36 = 2*k - 3*y - 31, c*y = -6. Calculate the remainder when 114 is divided by k.
27
Suppose 1 - 4 = -q. Suppose 0 = u + 4*i, -3*i - q = -0*i. What is the remainder when 42 is divided by ((-66)/u)/(9/(-12))?
20
Let f(y) = -y - 4. Suppose -5*v - 24 = 11. Let w be f(v). Suppose -w*p = r - 27 - 7, 2*r + 2*p - 56 = 0. What is the remainder when 98 is divided by r?
23
Suppose 2*l = -m + 15, 3*m + 4*l + 24 - 61 = 0. What is the remainder when 54 is divided by m?
5
Let z(k) = -11*k + 2. Suppose 20*b - x = 23*b - 45, 5*b + 4*x - 82 = 0. What is the remainder when z(-2) is divided by b?
10
Suppose 16 = 3*t - m, 4 + 10 = t + 4*m. Let p = 122 - 113. Calculate the remainder when p is divided by t.
3
Let r = -31 + 36. Suppose -160 = -r*m - 3*x, 2*m - 48 = -4*x + 30. What is the remainder when 113 is divided by m?
26
Let u(f) = -4*f + 15 + 33 - 11 + 9. Calculate the remainder when 24 is divided by u(9).
4
Let k be 3/(-4)*(4 + -8). Let b(n) = 4*n**2 - 44*n + 12. Calculate the remainder when ((-94)/k)/((-4)/6) is divided by b(11).
11
What is the remainder when (-6 - (-5 + -1 + 5)) + 477 is divided by 95?
92
Let w be -1 + 1 - (-28)/7. Suppose -3*q = -6, w*p - 122 = 3*q - 0*q. What is the remainder when p is divided by 17?
15
Let m(z) = z - 1. Let i be m(7). Suppose 0 = i*r - 15 - 3. Suppose -4*q - s - r*s + 136 = 0, -32 = -q - 3*s. What is the remainder when q is divided by 9?
8
Let z be 4 - 2/(4 + -6). Let y(r) = 3*r + 3. Let q be y(-6). Calculate the remainder when z/(q/(-84)) - -2 is divided by 8.
6
Let r = -121 - -116. What is the remainder when -4 + -2 + -1 + (31 - r) is divided by (-6)/(6/8*-1)?
5
Let z(c) = c - 1. Let y(l) = -l**2 - 2*l + 6. Let u(a) = -2*y(a) - 2*z(a). Calculate the remainder when u(-4) is divided by (-2)/(-9) - 34/(-9).
2
Let o = -1784 + 1862. Calculate the remainder when 1478 is divided by o.
74
Let p(m) = -2*m**3 + 31*m**2 + 50*m + 9. Calculate the remainder when p(16) is divided by 70.
63
Let d(j) = -j**2 + 2. Let o be d(3). Let c = 12 + o. Suppose 0 = c*b + 2*z + 3*z - 50, b + 6 = 3*z. What is the remainder when 11 is divided by b?
5
Let u(q) = 39*q. Let i be u(2). Suppose 26 = 4*b - i. Suppose -b - 36 = -2*g. Calculate the remainder when 91 is divided by g.
29
Suppose -f = p + p - 178, -3*p + 267 = 2*f. Calculate the remainder when 887 is divided by p.
86
Let a(r) = r**3 + 16*r**2 + 18*r + 21. Let w be a(-14). Suppose -5*q + 69 = -w. Suppose 65 + q = 3*s. What is the remainder when s is divided by 20?
17
Let k(g) be the third derivative of -g**4/6 + 32*g**3/3 - g**2 + 4*g. What is the remainder when k(6) is divided by 21?
19
Let n(b) = b**2 - 14*b - 7. Calculate the remainder when n(-5) is divided by (-134)/(-6) - 2/(-3).
19
Let v = 120 + -55. Let s(m) = m**2 + 20*m - 79. Calculate the remainder when v is divided by s(-24).
14
Suppose -26 = -d - 0*q - 4*q, -82 = -5*d - 4*q. Let t = 8190 - 8149. What is the remainder when t is divided by d?
13
Let c = -6 - -29. Let i = -17 + c. Calculate the remainder when 15 is divided by i.
3
Let q be -2 + 5 + 2/2. Let f be (-12)/18 - 16/(-6). Suppose -f*l = 3*d - 0*d - q, -48 = -5*l + 2*d. What is the remainder when 30 is divided by l?
6
Let j(d) = d**3 - 5*d**2 + d - 1. Let r be j(5). Let t = 670 - 594. Let z = t - r. Calculate the remainder when z is divided by 25.
22
Let h(z) = 2*z**2 - 17*z - 61. Calculate the remainder when h(-6) is divided by 26.
9
Let v(l) be the first derivative of -16*l**2 - l + 2. Let s be v(-3). Let p = -45 + s. Calculate the remainder when p is divided by 13.
11
Suppose 2*b - 3*y = 2*y + 629, 292 = b + 2*y. Calculate the remainder when b is divided by 81.
59
Let t = 82 - 31. Suppose -3*s + 2*r = 156, s + 0*s - r = -t. Calculate the remainder when 39 is divided by 4/(-18) + (-768)/s.
11
Let u = -1647 - -1656. What is the remainder when 60 is divided by u?
6
Let q = 222 - 150. What is the remainder when q is divided by 26?
20
What is the remainder when 287 is divided by (-586)/(-10) - 1 - 88/(-220)?
55
Suppose -4*n - 20 = 3*s, 0 = n - 2*n - 5. Suppose s = -4*x + 25 + 143. Calculate the remainder when x is divided by (4 - -12) + 35/(-7).
9
Suppose -3*l + t + 73 = 0, 0*t - t + 71 = 3*l. Suppose 0 = -10*u + 18*u - 568. Calculate the remainder when u is divided by l.
23
Let p = -166 - -205. Let q = 21 + -9. Calculate the remainder when p is divided by q.
3
Let u = 1041 - 1032. Let h be 968/(-18) + (-6)/27. Let w = h + 80. Calculate the remainder when w is divided by u.
8
Suppose 21 + 2 = n. Calculate the remainder when (-47 + 44)/(3/(-44)) is divided by n.
21
Calculate the remainder when 16 is divided by -2 + 12/30*10.
0
Let p(r) = r + 21. Let q be p(-12). Suppose 3*h + q = -0*h. Let s = h + 65. Calculate the remainder when s is divided by 16.
14
Suppose 10*j - 3*j = 7. Let i be -8 + 16 + j + 1. Let n = 97 + i. Calculate the remainder when n is divided by 22.
19
Let a = 2 + 3. Suppose -a*r = -z - 56, 4*z + 9 = -3*r + 38. What is the remainder when 29 is divided by r?
7
Let k(q) = q**2 - 4*q - 18. Let v be k(7). Let f = v + 21. Calculate the remainder when f is divided by 6.
0
What is the remainder when 31 is divided by (-4)/((18/12)/(-3))?
7
Let w = 1 + 2. Suppose -4*x = -w*x + 2*z - 14, -4*z + 64 = 5*x. Calculate the remainder when 653 + -646 - (-14)/1 is divided by x.
9
Let h(f) = f**3 - f**2 - 13*f + 368. Calculate the remainder when h(0) is divided by 9.
8
Suppose 4*v - 4*s - 24 = 0, v + 14*s - 16*s = 7. What is the remainder when 201 is divided by v?
1
Suppose -2*k + 12 = 16. Let r be (-2)/k - (2 + -5). Calculate the 