. Let n(i) = -i**2 - 14*i. What is the remainder when 69 is divided by n(g)?
21
Let q(w) = -7*w**3 + w**2 + 6*w + 4. Calculate the remainder when q(-2) is divided by 15.
7
Suppose -4*l + c + 3 = -3, c = -5*l + 12. Suppose 61 = l*a - 53. Let s = a - 32. What is the remainder when s is divided by 9?
7
Let q(k) = 4*k + 1. Let g be q(11). Suppose -5*x - c + 182 = 0, -5*x - 41 + 211 = 5*c. What is the remainder when x is divided by (-98)/(-10) + 9/g?
7
Let o(c) = -10*c - 3. Let b(f) = f**3 + 6*f**2 - 9*f + 6. Let d(w) = w**2 + 7*w - 1. Let k be d(-6). What is the remainder when o(-6) is divided by b(k)?
17
Let g = -6092 + 6095. Suppose -28 = -4*u + 44. Calculate the remainder when u is divided by g.
0
Suppose 29*c - 3677 = -1357. Calculate the remainder when c is divided by 9.
8
Suppose 6*a - a = 1750. Suppose a = 4*h + h. Suppose -c = -6*c + h. Calculate the remainder when c is divided by 4.
2
Let y(r) = r**2 - 7*r - 11. Let m = -820 - -842. What is the remainder when y(-8) is divided by m?
21
Suppose -15*h = -28*h + 1469. What is the remainder when h is divided by 40?
33
Suppose 0 = -4*s + 16. Let i(a) = -a**3 + 10*a**2 - 4*a + 2. Calculate the remainder when i(s) is divided by 1/(-1) - 116/(-4).
26
Let j be 3/(0 + 12/16). Let s be (28/(-35))/(j/30). Let t(p) = -5*p - 19. What is the remainder when t(s) is divided by 6?
5
Suppose 5*z - 147 = 2*z. Suppose -2*w - 3 = -z. Calculate the remainder when 66 is divided by w.
20
Suppose 5*m + 25 = 5. Let h = 8 - m. Calculate the remainder when 1 - (-1)/(3/h) is divided by 3.
2
Let v = -33 + 68. Suppose 9*d - 27 = 6*d. What is the remainder when v is divided by d?
8
Suppose -2*d - 5 = -7*d. Calculate the remainder when (-615)/(-55) - (-4)/(-22) is divided by 6/3 + d + 4.
4
Let t(d) = d**2 - 18*d + 34. What is the remainder when 43 is divided by t(16)?
1
Let a = -42 - -49. Let x be (-1)/1 + (-263)/1. Calculate the remainder when 11 is divided by (-2)/a - x/42.
5
Let j = 231 - 136. Suppose 7*v = 12*v - j. What is the remainder when v is divided by 3?
1
Let m be 114/30 + (-2)/(-10). Suppose -15 = -m*k + k. Suppose -k*g + 46 = s, 0 = g - 0*s - s - 14. What is the remainder when g is divided by 3?
1
Let r(n) = -n**3 + 48*n**2 - 2*n + 106. Calculate the remainder when 24 is divided by r(48).
4
Suppose 63 = -5*g - 3*s, -26 = 4*g + s + 30. Let o = 34 - g. Suppose -3*j + o = -23. What is the remainder when j is divided by 13?
11
Let g(s) = s**3 + 19*s**2 + 19*s + 36. Calculate the remainder when 35 is divided by g(-18).
17
Suppose -3*h - 4*y = -26, 2 = -2*y - 6. What is the remainder when (-676)/(-12) - 12/9 is divided by h?
13
Suppose -w = -3*n - 7, -4*w - n + 23 - 8 = 0. What is the remainder when (((-176)/6)/w)/(4/(-6)) is divided by 9?
2
Suppose 0*c = 11*c - 88. Calculate the remainder when 1678 is divided by c.
6
Let y(q) = 5*q**2 - 7*q + 2. What is the remainder when 46 is divided by y(3)?
20
Suppose 116 = -93*t + 97*t. Suppose -2*j = -3*j + 5. Suppose l - 1 - 53 = -j*f, -3*l + 32 = 2*f. Calculate the remainder when t is divided by f.
9
Let d = 1494 + -740. Calculate the remainder when d is divided by 84.
82
What is the remainder when (-1)/(-2 - -3)*-61 is divided by (-2)/5 - (-82)/5?
13
Let o(m) be the second derivative of -m**3/6 + 7*m**2 + 6*m. Calculate the remainder when 52 is divided by o(-13).
25
Let u = 6 + -3. Suppose 80 = 2*o + u*o. What is the remainder when o is divided by 1/4 - 70/(-8)?
7
Let f be (-20)/35 - 1660/(-14). Suppose -2*c - 5*i + f = 0, -4*c = -9*c + 4*i + 295. Let s = 187 + -175. What is the remainder when c is divided by s?
11
Suppose -17640 = -650*w - 85*w. Suppose 0 = 3*o + g + 7, 2*g - 6 - 4 = 2*o. What is the remainder when (-272)/(-6) - (-1)/o is divided by w?
21
Let p = -693 + 1308. What is the remainder when p is divided by 69?
63
Let c(j) = 11*j**2 + 8*j - 9. Let t be c(-3). Suppose -67*f + t*f = -37. What is the remainder when 72 is divided by f?
35
What is the remainder when 135 is divided by (75 - 12) + 40/(-4)?
29
Let w = -2618 + 2798. Calculate the remainder when w is divided by 15.
0
Let u be 80/(-5)*2 - 3. Let r be u/(-28)*(3 + 1). Suppose -r*y + 52 = -y. Calculate the remainder when 37 is divided by y.
11
Let q = -1766 - -1771. Calculate the remainder when 118 is divided by q.
3
Suppose 13 = 4*c - q, -q + 0*q = 1. Let g(n) = 2*n**2 - 4. Let s be g(c). Suppose -f + s = d, d + f + 1 = 3*f. Calculate the remainder when d is divided by 3.
0
Calculate the remainder when 96 is divided by 102/(-153) + 88/6.
12
Suppose -90 = -12*j + 30. Let s(l) = -l**3 - 10*l**2 - 10*l + 4. Calculate the remainder when s(-9) is divided by j.
3
Let k be 24/32 - (-15)/(-4). Let y(a) = a**2 + 2. Calculate the remainder when (-1)/5 - (-1608)/40 is divided by y(k).
7
Suppose 2*d = -d + 129. Let x = 122 + -100. What is the remainder when d is divided by x?
21
Calculate the remainder when 120 is divided by 108/12 - (-40)/8.
8
Let j = 260 + -119. Suppose -3*m + j = q, 0*q = 5*q. Calculate the remainder when 185 is divided by m.
44
Let a(i) = i**2 + 7*i - 7. Let m be a(-8). Let p(r) = 9*r + 3. Let l be p(m). Let z(v) = v**2 - 10*v - 16. What is the remainder when 30 is divided by z(l)?
6
Let u = 12 + -8. Suppose -u*o + 2*o + 8 = 0. What is the remainder when 63 is divided by (o/(-10))/((-6)/240)?
15
Let v(d) = 19*d - 272. What is the remainder when 129 is divided by v(18)?
59
Suppose -3*q + 289 - 13 = -3*h, 4*h + 274 = 3*q. Let a be ((-2)/(-6))/(2/(-6)). What is the remainder when q is divided by (-1)/(a - 92/(-96))?
22
Let h = -31 + 33. Suppose -81 = h*z - 101. Calculate the remainder when 54 is divided by z.
4
What is the remainder when 221 is divided by (-3 - -4)*(-1 + 58)?
50
Let w(c) = c**3 + 16*c**2 - 15*c + 34. Let s be w(-17). Suppose -43 = -s*n - 5*n - a, 5*n = 4*a + 28. Calculate the remainder when n is divided by 5.
3
Let z be (2/(-4))/((-25)/50). Suppose -2*h - 5*t + z = -h, 5*h = 3*t + 89. Suppose -4*b = b - 305. Calculate the remainder when b is divided by h.
13
Let d = -38 + 99. Let v = -301 - -317. What is the remainder when d is divided by v?
13
Let a(r) = 3*r**2 - 10*r - 3. Calculate the remainder when 132 is divided by a(-3).
24
Let d(w) = -4 - w + 14 - 5*w + w**2. Let k(v) = v**3 - 12*v**2 + 13*v - 16. Calculate the remainder when d(7) is divided by k(11).
5
Let h(o) = 3*o**2 + 10*o + 12. What is the remainder when h(-8) is divided by 21?
19
Calculate the remainder when 18 + ((-10)/4 - (-14)/4) is divided by 10.
9
Let f = -25 - -70. Let c = f - -67. What is the remainder when c is divided by 29?
25
Let t = -13 + 10. Let r = 2 - -5. What is the remainder when r is divided by (-1)/(-2) + t/(-2)?
1
Let x = 3 - 0. Suppose -x*y + 36 = y. What is the remainder when 60 is divided by y?
6
Let m(b) = 3*b**2 + 4*b + 19. Let g(j) = 4*j**2 + 4*j + 20. Let p(d) = -2*g(d) + 3*m(d). Calculate the remainder when p(-5) is divided by 6.
4
Let l(u) = 3*u**3 - 2*u**2 + 2*u + 1. Let o = 2 + 0. Let d(r) = r + 1. What is the remainder when l(o) is divided by d(10)?
10
Let l(y) = -y**2 + 8*y + 13. Let z be l(9). Let u = z + -9. What is the remainder when u/2*(-24 + 10) is divided by 9?
8
Suppose 4*b = 3*b + 63. Suppose -b*t + 40 = -58*t. What is the remainder when 20 is divided by t?
4
Let w = 54 - 52. What is the remainder when 43 is divided by (154/14)/(3 - w)?
10
Let u = 2085 - 2046. Let c = -3 - -11. What is the remainder when u is divided by c?
7
Let l(t) = -t**3 + 4*t**2 + 4. Let k be 3*(-1)/2*-2. Let a = 1432 - 1395. What is the remainder when a is divided by l(k)?
11
Let n(t) = -5*t + 8. Let k be n(-4). Let h = 71 - k. What is the remainder when h is divided by (-11)/(-22)*88/2?
21
Let m = 1105 - 786. What is the remainder when m is divided by 62?
9
Suppose 9*m - 205 + 43 = 0. Calculate the remainder when 62 is divided by m.
8
Suppose 2*z + 4*l - 96 = 0, 5*z = z + 5*l + 166. Calculate the remainder when z is divided by 9.
8
Let t = 112 + 56. Suppose -2*v = 4*q - t, 3*v - 219 = 2*q + 41. What is the remainder when v is divided by 25?
11
Suppose -3*i + 2*i = 4*u - 9, 2*u + 2*i = 0. Suppose -u*a + 3*o = -93, -49 = -3*a - 2*o + 69. What is the remainder when 140 is divided by a?
32
Let v = -6 + 22. Let a(h) = h**3 - 15*h**2 - 11*h - 23. What is the remainder when a(v) is divided by 12?
9
Suppose