 316 + -192. What is the remainder when j is divided by 24?
4
Suppose -z - 3*v + 30 = 0, 2*z - 70 + 10 = v. What is the remainder when z is divided by 21?
9
Suppose 5*c = 4*p + 16, 2 = -3*p + 5*c - 10. Let o = p - -9. Suppose -4*s + 2*v + 8 = 0, -4*s + 5*v + 4 = -4. What is the remainder when o is divided by s?
1
Suppose 0 = -5*w + 71 + 304. Suppose 0 = -8*z + 3*z - w. Let y(o) = o**3 + 16*o**2 + 8*o - 16. Calculate the remainder when y(z) is divided by 23.
20
Suppose -3*m - 3 = -27. Suppose -m*r + 3*r + 80 = 0. Calculate the remainder when 30 is divided by r.
14
Let t(f) = f + 31. Calculate the remainder when 559 is divided by t(-26).
4
Suppose 2*w + 16 - 6 = 0. Let n(r) = -r**3 - 3*r**2 + 5*r - 6. Let p be n(w). Suppose 0*c + p = c. Calculate the remainder when 36 is divided by c.
17
Suppose -v + 105 = -6*u + 11*u, -4*v + 437 = 3*u. Calculate the remainder when v is divided by 23.
18
Let y(q) = -q**2 + 10*q + 11. Let u be y(7). Suppose -15 = 3*s + 51. Let w = u + s. What is the remainder when 29 is divided by w?
9
What is the remainder when 154 is divided by (4/48*4)/((-7)/(-1092))?
50
Suppose -b + c = -3*b + 37, -3*b = 2*c - 53. Suppose b*w - 24*w = -6. Suppose 0 = -a - w*a + 225. Calculate the remainder when a is divided by 19.
18
Let s be (-4)/26 - 132/(-13). Suppose -10*c = -5*c - s. Suppose 6 = b + n, -b - c*n = 3*n - 10. Calculate the remainder when 18 is divided by b.
3
Suppose 8*t = -n + 3*t + 21, n = 4*t + 21. Suppose n = 5*j - 234. Suppose -3*h + j = 3*d, -2*d + 3 = -5*h - 3. Calculate the remainder when 24 is divided by d.
11
Suppose -2*d + 1 = -3. Suppose -m - 28 = -g, 5*g + 3*m - 170 = d*m. Let s = -43 - -55. What is the remainder when g is divided by s?
9
Let f(z) = 33*z**3. Let u be f(1). Let n = u - 21. Let j = -7 + n. What is the remainder when 19 is divided by j?
4
Let f be (18/5)/((-16)/(-40)). Suppose -4*w = -2*d - 5214, f*w = 6*w + 5*d + 3900. Calculate the remainder when 4/(-5)*w/(-18) is divided by 15.
13
Let j be 2*1/(-8) - 3180/(-48). Let b = -32 + j. What is the remainder when 67 is divided by b?
33
Let u be 2/(-6)*(-2 + -4). Suppose -u*h - h - 228 = 0. Let o = h - -109. Calculate the remainder when o is divided by 17.
16
Suppose -4*y = 5*h + 4, 4*y - 4*h - 27 - 5 = 0. Suppose -y*p = -172 + 24. Suppose s + 0*s = 13. What is the remainder when p is divided by s?
11
Suppose 4*d - 34 = -3*z, 5*z + 9 + 1 = 0. Let m = 7 - -32. What is the remainder when m is divided by d?
9
Suppose -70*z - 4*j = -69*z - 95, -3*z + 293 = 4*j. What is the remainder when z is divided by 26?
21
Suppose 0*p = 5*p - 110. What is the remainder when p is divided by ((-8)/(-16))/(((-21)/(-36))/7)?
4
Let q = -118 - -123. Suppose -q*b - 25 = -60. Calculate the remainder when b is divided by 6.
1
Let u(a) be the second derivative of a**5/10 - a**4/4 + a**3/3 - a**2/2 + 9*a. Calculate the remainder when u(2) is divided by 5.
2
Let j = -7 + 10. Suppose -4*l - 4*d + 149 = 29, j*d = 2*l - 60. Calculate the remainder when l is divided by 8.
6
Suppose -79*b = -6*b - 12702. Calculate the remainder when b is divided by 13.
5
Let t(x) = -x + 70. What is the remainder when 189 is divided by t(21)?
42
Let m = -81 - -126. Let s(f) = f**2 - 3*f - 4. Calculate the remainder when m is divided by s(7).
21
Suppose x = -4*j - 0*x + 29, 2*j + x - 17 = 0. Let t(y) = -y**2 + 7*y + 28. What is the remainder when t(j) is divided by 13?
8
Let m = 2760 - 2722. Calculate the remainder when m is divided by 10.
8
Let c(x) = -x**2 - 11*x + 17. Let l(k) = -k**2 - 11*k + 18. Let d(b) = -5*c(b) + 4*l(b). What is the remainder when 89 is divided by d(-13)?
11
Let j = 13 + -3. What is the remainder when j is divided by (-87)/(-15) - 3/(-15)?
4
Suppose 21 = 5*l - 3*y, -4 - 2 = 3*y. Suppose 0 = -l*n + 13 + 14. What is the remainder when 17 is divided by n?
8
Let o = 252 - 186. Calculate the remainder when o is divided by 18.
12
Suppose 4*g - g = 66. Let r(a) = -3*a**3 - 3*a**2 + 1. Let v be r(-2). Let t(q) = q**3 - 13*q**2 + q - 7. What is the remainder when g is divided by t(v)?
4
Suppose -2*x - 16 = -6*x, -4*x = -2*b + 26. Calculate the remainder when 38 is divided by b.
17
Suppose -18*j + 15*j - 135 = 0. Let y = j + 65. Calculate the remainder when 78 is divided by y.
18
Let x = -60 + 76. Suppose -5*u + 2*k + 36 = -14, 0 = -u + 2*k + 10. Calculate the remainder when x is divided by u.
6
Let j = 34 - 14. Calculate the remainder when 53 is divided by j.
13
Suppose -5*p + 2*l + 662 = 0, -3*l + 69 + 77 = p. Calculate the remainder when p is divided by (-2)/((-24)/68)*3.
15
Let w = -178 + 408. Let v = -125 + w. What is the remainder when v is divided by 27?
24
Let q(x) = 3*x**2 - 10*x - 78. Let l(k) = k**2 - 3*k - 26. Let m(n) = 7*l(n) - 2*q(n). Calculate the remainder when 228 is divided by m(9).
44
Suppose 0 = -3*f + f - z + 40, 2*z - 44 = -2*f. Let w be (1 + 8)/(9/(-282)). What is the remainder when w/(-8) + (-5)/20 is divided by f?
17
Let r be ((-40)/(-50))/(2/75). Let m = r - 27. Calculate the remainder when 11 is divided by m.
2
Let o be (3/(30/5))/((-1)/(-26)). Suppose -2*b + s + o = 4*s, -b - s = -7. What is the remainder when 26 is divided by b?
2
Suppose -298 = -4*l + 5*o, -21 - 62 = -l - 3*o. What is the remainder when l is divided by 27 - (-3)/(1 + -4)?
25
Suppose v - 3*v = -168. Suppose 0 = -a - 9 + 11. Suppose 2*f + a*f = v. Calculate the remainder when 83 is divided by f.
20
Let g = -1 + 14. Let f(m) = -46*m**3 + m. Let j be f(-1). Let d = 6 + j. What is the remainder when d is divided by g?
12
What is the remainder when 100/(-175) + -486*5/(-14) is divided by 29?
28
Suppose 165 + 187 = 8*m. What is the remainder when 81 is divided by m?
37
Let p(l) = -l - 3. Let o be p(-6). What is the remainder when 125 is divided by (2 + 26/o)*3?
29
Suppose -4*n - 28 + 192 = 4*b, -b + n = -39. What is the remainder when 157 is divided by b?
37
Suppose 9*m - 284 - 67 = 0. What is the remainder when 154 is divided by m?
37
Let o(x) = 14*x**2 - 11*x + 19. Calculate the remainder when 329 is divided by o(3).
105
Suppose 10*u - 414 + 344 = 0. Calculate the remainder when u is divided by 5.
2
Let u be 858/(-5) - 51/(-85). Let p = u + 200. Calculate the remainder when p is divided by 11.
7
Suppose 8*i = 12*i + 32. What is the remainder when 47 is divided by (-96)/18*(-1 - (-22)/i)?
7
Suppose 3 = -5*o + 3*s + 4, 0 = 5*o - 5*s + 5. Let t = -363 - -365. What is the remainder when o is divided by t?
0
Suppose -3*k = k. Let m(g) = -g**3 - g**2 + g + 29. What is the remainder when m(k) is divided by 8?
5
Let t = -68 + 71. Suppose 0 = -t*f - 3*m + 54, 3*f - m - 17 = 17. What is the remainder when f is divided by 7?
6
Let f = 106 - 81. What is the remainder when (-9)/((-3)/16 - 0) is divided by f?
23
Let y be 3123/21 - ((-16)/14)/4. Suppose 9*s = 94 + y. Calculate the remainder when 79 is divided by s.
25
What is the remainder when 92 is divided by (-765)/(-50) - (-12)/(-40)?
2
Let b = 313 + 56. Calculate the remainder when b is divided by 22.
17
Suppose 0 = -m + 5*m + 2*r - 118, 0 = -5*m - 5*r + 150. Let z be -7 - (3 - 5) - -88. Suppose -g - 27 = -z. Calculate the remainder when g is divided by m.
27
Let l = -495 + 533. What is the remainder when l is divided by 7?
3
Let c = 74 - 37. Let h = c - 28. What is the remainder when 33 is divided by h?
6
Suppose -13 - 49 = -3*u - 2*p, 2*p = -2*u + 44. Suppose -5*x + 68 = u. Calculate the remainder when 14 is divided by x.
4
Let z(y) = 2*y + 23. Let v be -6*(-12)/45*5. Calculate the remainder when z(v) is divided by 21.
18
Let l be (4/(-10))/((-4)/20). Suppose l*p + 0*p = 6. Suppose -8 - 7 = -5*f. What is the remainder when f is divided by p?
0
Let v = 52 + -50. Suppose 2*y - 133 - 41 = 0. Suppose v*b - y = -b. Calculate the remainder when b is divided by 16.
13
What is the remainder when 106/10 - (-30)/75 is divided by 9?
2
Suppose 4 = 3*i + 2*i - 3*c, 10 = 5*c. Let a = 211 + -151. Suppose -2*j + 5*h = -j - 4, -i*j + a = 3*h. What is the remainder when 71 is divided by j?
23
Let s(b) = -779*b**2 + 3*b - 54 + 780*b**2 + 3*b. Let x(k) = -19*k**3 + k + 1. Calculate the remainder when s(7) is divided by x(-1).
18
Let u = 14 + -12. Suppose -u*l + 132 = 2*l. Let f(d) = d**3 + 6*d**2 - 2*d. What is the remainder when l is divided by f(-6)?
9
Suppose 3 = -2*q