= -v + 4*t - 9*t, -2*v - 10 = -2*t. Let n = 24 + v. Suppose 7*p = 2*p + 2*s + 62, 0 = 3*p + s - 35. Calculate the remainder when n is divided by p.
10
Let o(h) = -h**3 + 14*h**2 + 18*h + 55. What is the remainder when o(15) is divided by 15?
10
Let g = 28 + 16. Suppose 2*s + 2*s = g. Let k(n) = -185*n + 8182. Calculate the remainder when k(44) is divided by s.
9
Let r = -142 + 157. Calculate the remainder when 70 is divided by r.
10
Let h be 255/2 + -4*3/8. Let y = h + -8. What is the remainder when y is divided by 24?
22
Suppose 54*y = 60*y - 54. Calculate the remainder when 35 is divided by y.
8
What is the remainder when 30 is divided by ((-1 - 0)*1)/(2/(-16))?
6
Suppose -2*j = 5*v - 40, -j + 0 = -2*v + 7. Suppose -i - 45 = -v*i. Suppose 0 = -3*g - 2*g + 25. What is the remainder when i is divided by g?
4
Let a(q) = 3*q**3 - 29*q**2 - 9*q - 20. Let b(t) = -t**3 + 10*t**2 + 3*t + 7. Let f(v) = -4*a(v) - 11*b(v). What is the remainder when 124 is divided by f(6)?
19
Suppose o + 92 = 5*o. Suppose -4*q + 5*k + 295 = q, -143 = -2*q - 3*k. Calculate the remainder when q is divided by o.
18
Let y = 93 - 52. What is the remainder when y is divided by 17?
7
Let b = 70 + 2. Suppose -3*c - 6 = -5*r - b, c = -r + 14. What is the remainder when 201 is divided by c?
14
Let n(z) = 2*z - 2 - 2*z - 5*z - 3*z. What is the remainder when n(-3) is divided by 6?
4
Suppose -112 = 3*b - 3*y - 322, 305 = 4*b + y. Calculate the remainder when b is divided by 13.
10
What is the remainder when 279 is divided by ((-320)/(-48))/(8/84)?
69
Let d(k) = -69*k - 850. What is the remainder when 135 is divided by d(-13)?
41
Let t = 159 + -64. Calculate the remainder when 271 is divided by t.
81
Suppose g = -3, -j + 3*g = -20 - 21. Calculate the remainder when 445 is divided by j.
29
Suppose -6*p - 33 + 165 = 0. What is the remainder when 65 is divided by p?
21
Suppose 28*m + 11 = 1607. Calculate the remainder when m is divided by 10.
7
Suppose -162 = y - 323. Calculate the remainder when y is divided by 58.
45
Let h = -3289 + 3301. Suppose y - 20 = -y - 5*x, -3*y = -5*x - 5. Calculate the remainder when h is divided by y.
2
Suppose 4*g + 11 + 37 = 0. Let v(u) = u + 14. Let a be v(g). Suppose 8 = a*t - 0*t. Calculate the remainder when 5 is divided by t.
1
Let z(t) = 7*t**2 - 33*t - 17. Calculate the remainder when z(-7) is divided by 40.
37
Let h be (1 - 2) + 0 - -18. Suppose -3*z = -3, 3*w = 2*z - h + 48. What is the remainder when 31 is divided by w?
9
Suppose -2*b - b + 29 = 5*q, -5*b + 2*q = -7. Let t(r) = -2*r**2 - r**b + 22 + r - 19 + 38 + r**2. What is the remainder when t(0) is divided by 22?
19
Let r(d) = 6*d + 17. Let m(k) be the second derivative of k**5/20 - k**4/12 + k. Calculate the remainder when m(4) is divided by r(0).
14
Let k(l) = 3*l**2 + 41*l - 186. Calculate the remainder when 880 is divided by k(4).
22
Let q = 61 - -14. Suppose -8*n + 12*n - 32 = 0. Suppose 91 = -3*s + n*s + 2*g, 0 = -s - g + 17. Calculate the remainder when q is divided by s.
18
Suppose 7*y = -3*y + 40. Let m(g) = -10*g + 1. Calculate the remainder when m(-5) is divided by y*(5/((-40)/(-36)) - 0).
15
Let x(h) = 0*h**2 - 5 - 9*h**3 - h + 11*h**3 + 0*h**2 - 2*h**2. What is the remainder when 110 is divided by x(3)?
26
Suppose 1116 = -26*s + 30*s - 5*z, 837 = 3*s + 2*z. What is the remainder when s is divided by 56?
55
Let c = 354 + -338. Let j = 59 + 3. What is the remainder when j is divided by c?
14
What is the remainder when 618 is divided by ((-42)/(-10))/(57/1710)?
114
Let d(v) = -v + 37. Let y(q) = 2*q - 73. Let l(s) = 5*d(s) + 2*y(s). What is the remainder when l(0) is divided by 23?
16
What is the remainder when 346 is divided by 45/4 - (-414)/552?
10
Let a(u) = -12*u + 3. Let v(w) = -w. Let k be ((-78)/(-12))/((-1)/2). What is the remainder when a(-4) is divided by v(k)?
12
Let k(v) be the first derivative of -3*v**2/2 - 27*v - 1. Suppose 113*t - 112 = 121*t. What is the remainder when 28 is divided by k(t)?
13
Suppose -5*h + 4*u = -0*u - 20, 4*u = -h + 28. What is the remainder when (-2 - 154/(-56))/((-1)/(-20)) is divided by h?
7
Suppose 4*x + 16 = 0, -p - 3*x + 2 + 9 = 0. Let w(i) = i + 2. Let s be w(-5). Calculate the remainder when p is divided by (2/3)/(s/(-27)).
5
Let j(x) = -x + 3*x + 16 + 0*x - 2. Let l be j(-9). What is the remainder when 58*(l + (-9)/(-2)) is divided by 15?
14
Let v be ((-4)/(-5))/((-16)/(-80)). Suppose 0 = -3*g + 11 + v. Suppose q + 4*t = 28, 2*t - 42 = -3*q - q. What is the remainder when q is divided by g?
3
Suppose y = 2*r - 2*y - 33, 4*r - 4*y = 68. What is the remainder when 249 is divided by r?
15
Let b be 0/7 + (-3 - 1). Let r(p) = -p**2 - 7*p - 10. Suppose 11 = 3*o - 4*k, -3*o - 3*k = -2*o - 21. Calculate the remainder when o is divided by r(b).
1
Let w(u) = 32*u**3 + u**2 - 2*u + 1. Let h(d) = -d - 7. Let y be h(-8). Let s be w(y). Suppose -5*t + s = -23. Calculate the remainder when t is divided by 3.
2
Suppose -247*q = -239*q - 576. Suppose -2*i + k + 10 = -41, 0 = 2*i - 5*k - 55. Calculate the remainder when q is divided by i.
22
Let z = 16 + -15. Let m = -1 - z. Let d(a) = 3*a**2 + a - 1. What is the remainder when 35 is divided by d(m)?
8
Suppose 0 = u + 2*u + 5*r - 17, -2*r = 3*u - 32. Suppose -103*m + 136*m = 33. What is the remainder when u is divided by m?
0
Calculate the remainder when (-1 + 2 - -1)*444/24 is divided by 22.
15
Suppose -5*q + 0*q + 45 = 0. Let y be 1/((-17)/q - -2). Suppose -16 = -5*n + y. What is the remainder when n is divided by 2?
1
Suppose 184*p = 192*p - 6752. Calculate the remainder when p is divided by 65.
64
Suppose -5*o = -25, 10*j + 124 = 14*j + 4*o. What is the remainder when 232 is divided by j?
24
Suppose 0*r + 3*r = 3*m + 228, -2*m - 79 = -r. Let n = -9 + 28. What is the remainder when r is divided by n?
16
Let a = -3 - -6. Suppose a*d + 3*z - 60 = 0, 4*d + 3*z - 85 + 10 = 0. What is the remainder when d is divided by 5?
0
Suppose r = 2*m + 2 - 7, -2*r - 5*m = -17. Let z(s) = s**3 - 5*s**2 - 6*s + 8. Let b be z(6). What is the remainder when 9 is divided by b/(r + 1) - -2?
3
Let x = 38 + -76. Let v = 40 + x. Calculate the remainder when 7 is divided by v.
1
Let s be (-12)/(-6) + 14 + -1. Calculate the remainder when 426/s - (-6)/10 is divided by 10.
9
Suppose 6*z = -6 + 18. Calculate the remainder when 1/(z + -1) - 0 is divided by 1.
0
Let u be (2/(-6))/((-3)/567*1). What is the remainder when -3*7/u - (-104)/6 is divided by 9?
8
Calculate the remainder when 107 is divided by 18*(6/(-8))/(18/(-8)).
5
Suppose 25 = -k - 5*q, 4*q = -3*k - 28 - 36. Let z = -16 - k. Calculate the remainder when (13*z)/4 - -3 is divided by 9.
7
Suppose 5 + 15 = 5*p, -3*p - 88 = -2*v. Let h = -500 - -514. Calculate the remainder when v is divided by h.
8
What is the remainder when (-8)/(-52) - (-6)/((-624)/(-8824)) is divided by 8?
5
Let l(r) = -2*r**3 - 12*r**2 + 23*r + 4. Let v be l(-10). Let p = -398 + v. What is the remainder when p is divided by 45?
41
Let q(w) = -41*w + 21. What is the remainder when q(-12) is divided by 12?
9
Let x(v) = v**3 - 5*v**2 - 3*v + 22. Let d(q) = q**3 - 6*q**2 - 2*q + 21. Let i(h) = 3*d(h) - 2*x(h). What is the remainder when 37 is divided by i(8)?
18
Suppose -4*l + 2*l + 46 = 0. What is the remainder when ((-1)/((-28)/536))/((-14)/(-49)) is divided by l?
21
Suppose 5*g = 4*s - 5, 2*g - 3*g = 2*s - 13. Suppose 2 = 3*r - 3*q - 79, -9 = -r - s*q. Calculate the remainder when 43 is divided by r.
19
Suppose g + 2 = -2*y - 97, -2*g + y = 198. Let k = -826 - -835. What is the remainder when 19 is divided by (-1012)/g + (-2)/k?
9
Let z be 1/(-1 - (1 + -3)). Let d(h) = 42*h**3 - h. Calculate the remainder when d(z) is divided by (-14)/(-4)*(0 + 3)*2.
20
Let o be (12/(-7))/(6/(-21)). Let w(u) = -u**3 + 7*u**2 - u + 2. Calculate the remainder when w(o) is divided by 11.
10
Suppose 2*u + 5*t - 9 = 0, -11*u - 5*t = -13*u + 19. Calculate the remainder when 27 is divided by u.
6
Suppose 5*u - 192 = -3*d, u = 5*d + 8 + 8. What is the remainder when (-6)/45 + (-1517)/(-15) - -3 is divided by u?
32
Let c = 85 - 71. Let n(z) = 6*z - 47. Calculate the remainder when n(c) is divided by 4.
1
Let m(w) = -w**2 + 2*w + 2. Let k be m(0). Let i be 6 + -1 + k - 4. Suppose -i*s = 5 - 98. Calculate the remainder wh