- 3. Let t be w(1). What is the remainder when t/(-28) - (-3)/((-21)/(-2)) is divided by 9?
1
Suppose 5698 = 4*s + 5450. Calculate the remainder when 121 is divided by s.
59
Let b = 100 + -62. Calculate the remainder when 109 is divided by b.
33
What is the remainder when (-274)/(-2) - -8 - 8 is divided by 37?
26
Suppose 103 = 5*f - 5*u + 28, -4*f + u = -45. Let i(n) = n**2 - 8*n - 5. What is the remainder when 29 is divided by i(f)?
14
Suppose -62*i + 87*i - 725 = 0. Calculate the remainder when 170 is divided by i.
25
Let w(m) = m - 3. Let z be 5 - -1 - (3 + -3). Let n be w(z). Suppose -n*r = -57 - 3. What is the remainder when 77 is divided by r?
17
Let m be 10*(3 - (-51)/(-15)). Let j = m + 18. What is the remainder when 9/((1/6)/((-13)/(-26))) is divided by j?
13
Let b be ((-2)/3)/((-5)/15). Suppose -b*y + 10 = -0*y. Let z = y + 1. Calculate the remainder when 10 is divided by z.
4
Suppose -w + 5*j + 61 = -0*j, 4*j - 189 = -5*w. Suppose -w*p + 44*p = 78. What is the remainder when 77 is divided by p?
25
Let p be 2/20*-206*10/(-2). Let d = 320 - p. Calculate the remainder when d is divided by 55.
52
Let h = 24 + -12. Calculate the remainder when 659 is divided by h.
11
Suppose -3*x + 5*x = 184. Suppose x - 2 = t. Suppose 3*z + 5*m - 84 = 0, 2*z = -0*z + 3*m + 37. What is the remainder when t is divided by z?
21
Let i = -8 + 8. Suppose -3*z + z = i. Suppose 2*k = -5*b + b + 32, z = k + b - 20. What is the remainder when k is divided by 13?
11
Let s(p) be the third derivative of -3*p**6/10 + p**5/60 + p**4/6 + p**3/3 + 7*p**2. Calculate the remainder when 67 is divided by s(-1).
32
Let f(k) = 3*k + 245. Calculate the remainder when f(-28) is divided by 4.
1
What is the remainder when (4 + -5 - -6)/(1/201) is divided by 112?
109
Let r = 114 - 58. Suppose 96 = -6686*i + 6694*i. What is the remainder when r is divided by i?
8
Suppose 2 = -f + 34. Let k be 6/(-4)*(-128)/12. What is the remainder when f is divided by 34/272 + 174/k?
10
Suppose 3*b - 10 = -3*i + 20, -b + 20 = -i. Calculate the remainder when 242/6 + ((-132)/18 - -8) is divided by b.
11
Suppose 1 - 3 = -o. Let c = -66 - -67. Calculate the remainder when o is divided by (0 - -5) + (-2 - c/1).
0
Let w(o) = -o**3 - 4*o**2 - 3. Let u be w(-3). Suppose -5*l - 2 = -3*l. What is the remainder when 36 is divided by l/2 - 162/u?
10
Suppose 2*o + 3*s = 963, -9*o + 5*s = -10*o + 492. Calculate the remainder when o is divided by 16.
13
Let w = -55 + 71. What is the remainder when 29 is divided by w?
13
Suppose 5*c = 440 - 20. Suppose 7*y - 5*y - c = 0. Suppose d - 4*p - 9 = 0, -y - 28 = -5*d - 5*p. What is the remainder when 37 is divided by d?
11
Let i(g) = -g**2 + 5*g - 2. Let m be i(4). Suppose 0 = -m*o - 4*r + 36, -34 = -3*o + 2*r - 3*r. What is the remainder when (-1341)/(-15) - 4/o is divided by 15?
14
Suppose 34*m + 1698 = 40*m. What is the remainder when m is divided by 26?
23
Suppose -u + 4*o + 5 = -2*u, -4*u = -3*o + 1. Let m = -891 - -895. What is the remainder when u - (2*8)/(-1) is divided by m?
3
Let r = -217 - -221. Calculate the remainder when 27 is divided by r.
3
Suppose -40*k - 152 = -2232. Suppose -127 = -4*w - 3*o, -2*o - 74 = -w - 2*w. What is the remainder when k is divided by w?
24
Suppose 0 = 5*w + 25, -4*i = 4*w - 0*w + 20. Suppose -5*r + 3*y + 56 = 0, i = y + 1 + 1. Calculate the remainder when 29 is divided by r.
9
Suppose 0 = 2*z - 5*r - 78, -4*z + 2*r + 153 = z. Let d(k) be the first derivative of k**2/2 + 8*k - 2. Calculate the remainder when z is divided by d(2).
9
Suppose -15 = -6*h + h. Suppose 5 + 139 = h*v. Calculate the remainder when v is divided by 3/2*170/15.
14
Let s be (4/(-3 - 5))/(1/388). Calculate the remainder when 90 is divided by ((-6)/24)/1 + s/(-8).
18
Suppose -11*h - 35 = -4*h. Let l(q) = 3*q**2 + 5*q + 34. Calculate the remainder when l(h) is divided by 22.
18
Let o = -84 + 58. What is the remainder when 16 is divided by (28/12)/7 + o/(-3)?
7
Suppose -562 = -6*g + 218. Calculate the remainder when g is divided by 4.
2
Suppose -5*n + 0 = 3*w + 1, -4*n - 2 = 2*w. Suppose 6*h - 45 = w*h. Calculate the remainder when 28 is divided by h.
13
Let d(y) = -y**2 + 16. Suppose 5*k - 3*j - 1217 = 3*k, -4*j - 3060 = -5*k. Suppose -k = -18*n + 4*n. Calculate the remainder when n is divided by d(0).
12
Let r be 5 - 9/((-27)/(-12)). What is the remainder when 22 is divided by (r - 1) + 8 + 0?
6
Let q(l) = l**2 + 3*l + 5. What is the remainder when 248/(-12)*(0 + 3)*-1 is divided by q(-4)?
8
Let x be 8*10*(0 - -1). Let b = -33 + -14. Let i = b + x. Calculate the remainder when 98 is divided by i.
32
Let f = -18 + 8. What is the remainder when 7 is divided by (-1)/f*-4 - 22/(-5)?
3
Suppose 4*a - 3*l + 671 + 533 = 0, 5*l + 20 = 0. Calculate the remainder when a/(-22) - 20/(-110) is divided by 8.
6
Let u = 26 - 20. Suppose -r + 4*r = u. What is the remainder when 13 is divided by (-2)/(r/((-8)/2))?
1
Let f(m) = 29 - 9*m**2 + 8*m**2 - 5*m + 2*m**2 - 2*m. Calculate the remainder when f(10) is divided by (4/3)/(2/30).
19
Calculate the remainder when (127 + 12)/(3/3) is divided by 87.
52
Let t = -29 + 36. Let g(z) = z**3 - 9*z**2 + 14*z + 7. Suppose 0 = -5*v - j + 59, -j = -5*v + 2*j + 63. What is the remainder when v is divided by g(t)?
5
Suppose -3*w + 3*u = -0*w - 111, -3*w - u = -119. Let j = 14 - 10. Suppose j*s + t = 88, -3*s - 6*t + t + 83 = 0. What is the remainder when w is divided by s?
18
Let n(q) = 3*q**3 + q**2 + 2*q + 4. Let f be n(-3). Let y = -17 + 120. Let s = y + f. Calculate the remainder when s is divided by 8.
5
Let p = 548 + -515. Calculate the remainder when p is divided by 20.
13
Let n(w) = w**3 - 14*w**2 - 13*w - 10. Let h be n(15). Suppose q - 5*q + h = 0. Calculate the remainder when 57 is divided by (-4)/q - (-447)/15.
28
Let v be (-1505)/(-20) - 3/12. Suppose -5*u = -5*t - v, -3*u = 2*t + 3*t - 13. Calculate the remainder when u is divided by 7.
4
Let b(p) = 4*p**2 - p + 52. Calculate the remainder when 103 is divided by b(0).
51
Let n = -1035 - -1664. What is the remainder when n is divided by 53?
46
Let y(c) = -15*c + 187. Calculate the remainder when y(-8) is divided by 11.
10
Let b = -129 + 157. Suppose -5*g - 161 = -56. Let r = b + g. What is the remainder when 33 is divided by r?
5
Suppose -n + 154 = 4*r, -4*n + 696 = -3*r - r. Calculate the remainder when n is divided by 66.
38
Suppose -3*q + 49 = -2. Suppose 38 = -15*c + q*c. Calculate the remainder when 74 is divided by c.
17
Suppose 280 = -3*a + 19. Let z = 118 + a. Calculate the remainder when z is divided by 7.
3
Let f be ((-18)/8)/((-9)/336). What is the remainder when 50 is divided by ((-60)/(-7))/(24/f)?
20
Suppose 60 = -0*z - 3*z. Let k = -11 - z. Suppose -5*u + 49 = k. Calculate the remainder when 37 is divided by u.
5
Suppose -5*t + 438 = l + 12, 5*l = -2*t + 2084. What is the remainder when l is divided by 38?
36
Suppose -3*d - 2*z = -8*d, -4*z = -4*d. Let t(f) = f + 25. Calculate the remainder when t(d) is divided by 14.
11
Let m = 256 + -222. Calculate the remainder when 135 is divided by m.
33
Suppose -3*y + 0*i = i - 19, -4*y + 32 = 3*i. Let o = 16 + y. Let w(s) = -s**3 + 4*s**2 + 19*s - 62. Calculate the remainder when o is divided by w(5).
5
Let m(k) = -2*k - 14. Let s be m(-15). Suppose 13*c = s*c - 156. Calculate the remainder when c is divided by 11.
8
Suppose -4*u - 140 = -h - 3*h, 4*u = 2*h - 68. Suppose 7*i = 4*i + h. Calculate the remainder when i is divided by 7.
5
Suppose -2*r = -49 - 157. Let b be ((-6)/2 + 8/2)/1. Suppose 0*v + v + 5*w - b = 0, -2*v + w = -57. What is the remainder when r is divided by v?
25
Let h(i) be the second derivative of -i**5/5 - i**4/6 - 3*i**3/2 - 7*i**2/2 + 27*i. Calculate the remainder when h(-3) is divided by 7.
5
Suppose 0 = -3*h + 8*h + 5, -2*l + 38 = -4*h. Let i(p) = 3*p - 44. Let t = 1 + 9. What is the remainder when t is divided by i(l)?
3
Let a(h) = 19*h. Calculate the remainder when 149 is divided by a(2).
35
Suppose -u - 4*z - 20 = -4*u, 3*z = -3*u - 15. Suppose -5*v - 4*n = -n - 85, u = 4*v - 5*n - 31. Calculate the remainder when 298/8 - 2/8 is divided by v.
9
Suppose -4*l + 33 + 3 = 0. Let v = -15 + l. Calculate the remainder when (1 + -37)*4/v is divided by 9.
6
Suppose 6*v + 293 = 713. Suppose -2*u = q - 