v = y - -32. What is the remainder when v is divided by 7?
1
Let j(o) be the third derivative of o**6/120 - o**5/15 - o**4/6 + 11*o**3/6 - 18*o**2. Calculate the remainder when j(5) is divided by 10.
6
Let z be 5/(-5)*-5*53. Suppose 4*d + 5 = z. What is the remainder when 2/13 - (-4930)/d is divided by 26?
24
Let f(h) = 2*h**3 + h**2 + 2*h + 2. Let m be f(-1). What is the remainder when -432*m*((-3)/(-2) - 1) is divided by 55?
51
Suppose 3*j - 34 = -a + 20, 0 = -a + 2*j + 39. Calculate the remainder when a is divided by 14.
3
Let w(l) = -5 + 3 + l + 0*l - 2*l. Let f be w(5). Calculate the remainder when 46 is divided by (-4)/(-14) + (-166)/f.
22
Let v = -222 + 229. What is the remainder when 145 is divided by v?
5
Let a(r) = 4*r - 12. Let t be a(6). Let m = 5 + t. Calculate the remainder when m is divided by 3.
2
Suppose h - t - 32 - 5 = 0, 8 = -2*t. Calculate the remainder when 162 is divided by h.
30
Suppose -2*h = -2*v - 3*h - 27, 3*h - 9 = 0. Let s = 11 + v. Calculate the remainder when 169/3 + s/(-6) is divided by 20.
17
Let p be 10/8 + 13/(-52). Suppose 5*z = 73 + 47. What is the remainder when z is divided by (14 - 2) + p + 1?
10
Calculate the remainder when ((8/(-4))/(-6))/((-7)/(-1428)) is divided by 7.
5
Suppose -3*g = 3*j - 282 - 141, -3*j = 2*g - 277. Let x = g + -115. What is the remainder when x is divided by 8?
7
Let j(h) = -h**2 - 18*h - 39. Suppose 5*u - 50 = 3*k, -5*u - 2 + 37 = -2*k. Suppose 0 = 2*y - 38 - 0. What is the remainder when y is divided by j(k)?
1
Suppose -102 = -39*m + 717. Calculate the remainder when 76 is divided by m.
13
Suppose 2*l = -2*i + 16 + 12, -3*i + 28 = 2*l. Suppose -5*u + 3*u = -110. Calculate the remainder when u is divided by l.
13
Suppose 100*m = 104*m - 40. Calculate the remainder when 70 is divided by m.
0
Suppose -5*p + 8*v + 42 = 9*v, 2*v - 4 = 0. Suppose 0 = 6*d - p*d + 36. What is the remainder when 29 is divided by d?
11
Suppose 4*q - 8 = -96. What is the remainder when (-1 - 1) + (-3)/(-1) - q is divided by 13?
10
What is the remainder when 389 is divided by -2*(-670)/24 + 13/78?
53
Suppose 2*o - n - 6 = 0, 25 = 5*o + 4*n - 3. Suppose f - 6*f + 95 = -5*z, -2*f + o*z + 34 = 0. Calculate the remainder when f is divided by 7.
0
Suppose -5*u + 282 = -93. Let i(k) = -507*k + 4. Let j be i(-1). Suppose j = 16*b + 207. Calculate the remainder when u is divided by b.
18
Suppose 4*p - 44 = -3*y, -y - 6*p + 4 = -10*p. Suppose 4*k + 4*t + 1 = -15, 12 = -3*k - t. What is the remainder when 3 + 16 - (k - -1) is divided by y?
10
Let v = -91 - -256. Let s = v + -99. Calculate the remainder when s is divided by 24.
18
Let c = 8 - -4. What is the remainder when (-16)/(-3)*c/8 is divided by 2?
0
Let q(f) = -4*f - 1. Let k be q(-4). Let j = -8 + k. Let d = 381 + -379. Calculate the remainder when j is divided by d.
1
Let f(y) = -y**3 + 20*y**2 + 3. Let g be f(20). Suppose 4*o - g*b = 2*b + 61, -o - 2*b = -12. What is the remainder when o is divided by 3?
2
Suppose 7*y - 14 = 28. Suppose 5*u = 2*a + 54, -a + u + 30 = -3*a. Let z = -1 - a. Calculate the remainder when z is divided by y.
4
Let q(a) = -a**3 + 14*a**2 - 17*a + 12. Calculate the remainder when q(11) is divided by 16.
12
What is the remainder when -7 + 340/51 + 452/6 is divided by 41?
34
Let q(r) = 21*r - 13. Let d be q(4). Suppose -11 = 5*h - d. Calculate the remainder when 45 is divided by h.
9
Let w = 12 + -11. Let x(u) = 151*u**2 + u - 2. Let f be x(w). Suppose -t = 4*t - f. Calculate the remainder when t is divided by 8.
6
Suppose c + 0*b = -4*b + 13, 0 = 2*c - 3*b - 26. Calculate the remainder when 51 is divided by c.
12
Let i = 30 + -27. Suppose i*a - p + 4*p - 33 = 0, 4*a - 5*p = 35. Calculate the remainder when 29 is divided by a.
9
Let z(v) = -2*v - 4. Let h be z(-3). Suppose h*o = -3*f + 5*o + 36, 0 = -2*o + 4. Calculate the remainder when 41 is divided by f.
13
Let z = -10 + 3. Let c(h) = -h**3 - 4*h**2 + h. Calculate the remainder when c(z) is divided by 36.
32
Suppose 5*r - 196 = 2*w - 99, -r + 37 = 4*w. Calculate the remainder when 434 is divided by r.
14
Let q(h) = h**3 - 10*h**2 + 2*h - 11. Let u(x) = -5*x**2 + 32*x - 11. Calculate the remainder when u(5) is divided by q(10).
6
Let v be (0 - -4)/(0 - -2). Let t(x) = -x**3 + x**2 - x + 32. What is the remainder when t(0) is divided by 1*v/(-4)*-22?
10
Suppose -i - 82 = -4*l, -4*l + 99 = l - 3*i. Suppose 14*h = 5*h + 324. Suppose 2*a = 0, 2*a - h = -7*v + 4*v. Calculate the remainder when l is divided by v.
9
Let m(n) = -n**3 - 11*n**2 - 10*n + 15. Let r(s) = -s**2 - 6*s + 29. Let o be r(-10). Calculate the remainder when m(o) is divided by 32.
29
Let m(t) = -t + 13. Let z be m(13). Let q = z - 0. Suppose 3*k = -q*k + 21. What is the remainder when 20 is divided by k?
6
Let a(d) = -d - 1. Let o(q) = -q + 2. Let f(u) = -2*a(u) + o(u). Suppose -143*z + 850 = -93*z. Calculate the remainder when z is divided by f(5).
8
Suppose 117 - 657 = -30*j. Calculate the remainder when 629 is divided by j.
17
Let n(z) = z - 1. Let l(w) = 4*w + 11. Let h(x) = -l(x) + 5*n(x). Let r be h(7). Calculate the remainder when 45 is divided by (1 + r)*(-30)/15.
13
Let o = 217 + -209. Let f = -1 - -16. What is the remainder when f is divided by o?
7
Let q be 2 - (-4 - (-1)/1). Suppose 0 = -q*c + 18 + 2. Suppose -3*n = -c*n + 17. Calculate the remainder when 67 is divided by n.
16
Suppose 0 = -3*j - 12, 4*x + 5*j - 4*j - 8 = 0. Let p(b) = 3*b**2 + b - 1. What is the remainder when x is divided by p(1)?
0
Let f(h) = -h**2 - 3*h + 52. What is the remainder when 118 is divided by f(-7)?
22
Suppose -32 = -4*s - 4*s. What is the remainder when 4/6 - 48/(-9) is divided by s?
2
Let k be -3*((-4963)/42 - (-2)/4). Suppose 3*y - 23 = 3*j - k, -j + 118 = 3*y. Calculate the remainder when j is divided by 29.
25
Let f = 14 - 5. What is the remainder when 117/9 - (-1 - 1) is divided by f?
6
Let h = -20 + 31. Suppose 8*r - 505 = 279. Let n = r - h. Calculate the remainder when n is divided by 22.
21
Let c(o) = -o**2 + 19*o - 76. Calculate the remainder when 33 is divided by c(8).
9
Suppose 2*n - 5*n = 0. Suppose -4*l - 2*p = -16, n = -2*p - p - 12. Let a = -30 - -44. Calculate the remainder when a is divided by l.
2
Suppose 3*a - 2*v - 116 = 0, 0*v = a + v - 32. Suppose 27*h = i + 31*h + 9, -3*i - h = -28. What is the remainder when a is divided by i?
3
Let k(c) be the third derivative of -17*c**4/6 + c**3/6 - c**2. Suppose -y = v - 5 - 11, y = -4*v + 70. What is the remainder when k(-1) is divided by v?
15
Let n = 917 - 856. Calculate the remainder when n is divided by 16.
13
Suppose -4*l = -2*l - 24. Let o = l + -19. Let z(k) = -k**3 - 5*k**2 + 4*k - 4. Calculate the remainder when z(o) is divided by 23.
20
Let h = 42 + -12. Let w(g) = -g + 9. Let j be w(-3). Let o(i) = i**2 - 5*i + 3. What is the remainder when o(j) is divided by h?
27
Let r(t) = 10*t + 6. Let h(g) = -5*g - 3. Let a(k) = 5*h(k) + 3*r(k). Let o = 19 + -16. What is the remainder when 33 is divided by a(o)?
15
Suppose 60*l - 61*l = 12. What is the remainder when 106 is divided by (13 - 1)*(3 + l/16)?
25
Let m(q) = 3*q - 4*q + q**3 + 7 - 1. What is the remainder when m(0) is divided by -1 + (-8 - (-2 + -10))?
0
Let z be 3304/18 - 40/(-90). Suppose -z*b = -185*b + 65. What is the remainder when b is divided by 11?
10
Let s = 36 + -92. Let v = 73 + s. Calculate the remainder when 30 is divided by v.
13
Calculate the remainder when 138 is divided by -1*(-1 + 1) + -35 + 48.
8
Suppose -26*x - 520 = -24*x. Calculate the remainder when 23 is divided by x/(-30) - 15/9.
2
Let p(f) = f**3 - 4*f**2 + 4*f - 1. Let c be p(3). Let i be (7*-14 - -3) + c. Let u = -54 - i. Calculate the remainder when u is divided by 10.
9
Let z = -32 + 36. Let m = 0 - z. What is the remainder when 9 + m + -4 - -27 is divided by 15?
13
Suppose 2*n + 2*n - 12 = 0. Let u be (1 + 2*-148)*-1. Suppose 3*v = 0, -2*w - 4*v = n*w - u. Calculate the remainder when w is divided by 15.
14
Suppose 101*d - 2776 = 5001. What is the remainder when 215 is divided by d?
61
Suppose -2*x - 10 = -4*d, 0 = 2*d - d - 4. Suppose 3*r + 15 = -x. Calculate the remainder when 50 is divided by (-112)/r - 34/51.
14
Calculate the remainder when (117/4)/1 - (-11)/(-44) is divided by 11.
7
Let d(x) = -12*x. Let c = 28