 Let t = s - -32. What is the remainder when t is divided by 10?
7
Suppose 124 = 4*m - z - 4*z, -5*z = -3*m + 93. Let n = 23 + -23. Suppose d = -4*q + 33, n = -4*q + d + 15 + 16. What is the remainder when m is divided by q?
7
Let l(j) be the first derivative of 9/2*j**2 + 10*j - 1/3*j**3 - 5. What is the remainder when 18 is divided by l(9)?
8
Let q = -14 - 26. Let y = q + 51. Let v(z) = 5*z**2 + z. Calculate the remainder when v(-2) is divided by y.
7
Suppose 2*s + 150 = -4*s. Calculate the remainder when 51 is divided by 8*(-35)/(-4)*(-5)/s.
9
Let n = -16 + -47. Let t = -29 - n. What is the remainder when t is divided by 18?
16
Suppose 51*v - 864 = 24*v. Suppose 8*g - 3*g - 45 = 0. Calculate the remainder when v is divided by g.
5
Suppose z = 5*j - 2, -2*j + 9 = -1. Let i = -4 + 7. What is the remainder when z is divided by (-76)/(-6) - (-1)/i?
10
Let s(c) = 3*c**2 + 23*c + 49. Calculate the remainder when s(14) is divided by 31.
29
Let r be (-2)/6 + (-52)/(-12). Suppose 2*u = -r - 2, -4*z = 5*u - 73. Suppose -3*b - 14*b + 204 = 0. Calculate the remainder when z is divided by b.
10
Let y(d) = 7*d**3 - 2*d**2 - 3*d - 2. Let a be y(3). Suppose -12*b = -2*b - a. What is the remainder when 31 is divided by b?
15
Let i(d) = -4*d - 10. Let l be i(-4). Let k be (-42)/(-3)*9/l. Suppose -18*g + k*g = 51. Calculate the remainder when g is divided by 6.
5
Suppose -4*o = 3*t - 11, -4*t = -0*o - 3*o + 2. Calculate the remainder when 13 is divided by t*(-1 - -6) + 8 + -6.
6
Suppose 4*s + 2*t - 16 = 0, 0*t - 4*t + 7 = 3*s. Suppose -s*m = m - 126. What is the remainder when m is divided by 11?
10
Suppose 7*r = -12*r + 7*r. Suppose r = -i + 65 + 13. Calculate the remainder when i is divided by 20.
18
Let s(r) = 32 - 22*r - 77 + 0*r**2 + 2*r - r**2. Let v = 48 + -34. What is the remainder when s(-14) is divided by v?
11
Let j(z) = z**3 - 14*z**2 - 73*z + 21. What is the remainder when 82 is divided by j(18)?
1
What is the remainder when 191 + (0 - 5 - -10) - 1 is divided by 8?
3
Suppose -2*v + 9 = -1. Let d = 646 + -637. What is the remainder when d is divided by v?
4
Calculate the remainder when 405 is divided by -30*(1430/(-30))/11.
15
What is the remainder when (-19 - -41)*(-13)/(-2) is divided by 24?
23
Suppose 0 = 2*s - 7*s - 3*c - 370, -4*s - c = 289. Let p = 97 + s. Calculate the remainder when p is divided by 7.
5
Suppose -3*v - 314 = -2*n, 6*n - 9*n - 3*v + 501 = 0. Suppose 47 - n = -4*k. What is the remainder when k is divided by 6?
5
Suppose 0 = 43*w + 295 - 983. Calculate the remainder when 315 is divided by w.
11
Let d be ((-12 - -8) + 32/6)*54. Suppose -d*g = -77*g + 585. Let v = -13 - -43. What is the remainder when g is divided by v?
27
Let i = -19 - -6. Let f be 4/14 + (-580)/(-28). Let c = f + i. What is the remainder when 23 is divided by c?
7
Suppose 2*s = 3*h + 64, 0 = 5*h - 4*s + 17 + 93. Calculate the remainder when -4 - (21/(-28))/(3/120) is divided by h/(-2) - 0/(-1).
8
Let m = -50 - -56. Let u(v) = v - 10. Let r be u(-8). Calculate the remainder when m is divided by (-12)/(-10)*(-45)/r.
0
Let v(q) = -2*q + 27. Let w be v(11). Suppose -w*y + 5*p + 20 = 0, 3*y + 0*p - 18 = p. Calculate the remainder when 25 is divided by y.
4
Let u be 13*-1 + ((-3)/3)/(-1). Calculate the remainder when 69 is divided by 270/9*u/(-10).
33
Let g(j) = -j**2. Let i be g(1). Let t(c) = -498*c + 2. Let r be t(i). Let v = r + -353. What is the remainder when v is divided by 37?
36
Let k be 317/(-5) - (-18)/45. Let p be k/(-15) + 1/(-5). Suppose x = p*f - 116, 0*x + x = -2*f + 64. What is the remainder when f is divided by 11?
8
Suppose 0 = 99*q - 104*q - 35. Let m(x) = x**2 + x + 9. Calculate the remainder when 149 is divided by m(q).
47
Let o(w) = 5*w**2 + 3*w - 9. Let x be o(-5). Let n = -100 + x. What is the remainder when 4 is divided by n?
0
Let d be 12/9 + 10/6. Suppose 2*q = 5*j - 48, -52 = -3*j - j + 5*q. What is the remainder when 88/d + (-6)/18 is divided by j?
5
Let c(t) = t**3 + 10*t**2 + 5*t - 13. Let o(q) = -q**3 - q**2 + q + 2. Let r be o(2). Calculate the remainder when c(r) is divided by 11.
9
Let q(v) = v**3 - 2*v**2 + v + 45. Let o = -37 - -37. Calculate the remainder when q(o) is divided by 19.
7
Suppose 10*k - 5*k = 825. What is the remainder when k is divided by 96/52 + -2 + 4932/117?
39
Let o(b) be the third derivative of b**5/60 - 17*b**4/24 - 17*b**3/3 + 37*b**2. What is the remainder when 21 is divided by o(19)?
1
Suppose -5*z + 206 = -4*n, -4*z + n + 243 - 76 = 0. Let l = -37 + z. What is the remainder when l is divided by 4?
1
Suppose 4*n + 3*b = 55, -n - 5*b + 6*b + 5 = 0. Calculate the remainder when 238 is divided by n.
8
Let m(r) = -r**3 - r**2 - 2*r + 14. What is the remainder when m(-4) is divided by 12?
10
Let r(t) = -3*t + 50. What is the remainder when 133 is divided by r(2)?
1
Let h(l) = l**3 + 16*l**2 - 2*l - 20. What is the remainder when 14/(-7) - ((-94 - 1) + -2) is divided by h(-16)?
11
Let s(z) = -81*z**3 - z**2 + 11*z + 4. Calculate the remainder when s(-3) is divided by 86.
85
Let o = 2108 - 2067. What is the remainder when o is divided by 14?
13
Let x = -13 + -40. Let o = 128 + x. Calculate the remainder when o is divided by 26.
23
Suppose -5*g = 5*l - 40, -2*g + 2*l - 1 = g. Suppose 2*m - 130 = -g*m. What is the remainder when m is divided by 10?
6
Suppose j = -4*y + 31 + 17, 5*y + 25 = 0. What is the remainder when j is divided by 10?
8
Suppose -5*o - f + 54 = 2*f, -6 = 3*f. Let j be (-4)/(-5) - 344/5. Calculate the remainder when (3 - 14/4)*j is divided by o.
10
Let l = 120 - 61. Suppose 0 = -4*f + x - 6*x + 85, 4*f - 4*x - 40 = 0. Calculate the remainder when l is divided by f.
14
Let u(j) = 3*j**2 - 33*j - 1. Let z be u(4). Let i = z + 107. Let c(l) = -9*l - 4. What is the remainder when c(-5) is divided by i?
19
Suppose o - 8 = -9, 0 = -2*m + 4*o + 6. Suppose -2*l = -4*q + 7*q - 13, 5*q - 27 = 2*l. What is the remainder when q is divided by m*(-20)/(-5) + -4 + 2?
1
Let n be (2 - (-230)/(-15))*3. Let k = -31 - n. Calculate the remainder when 33 is divided by k.
6
Let u be (48/(-10))/(3/(-15)). Let q = u - 14. Calculate the remainder when 17 is divided by q.
7
Let a = -40 + 78. Calculate the remainder when a is divided by 9.
2
Suppose 29*o - 672 = 23*o. Calculate the remainder when o is divided by 25.
12
Let f = 878 + -863. Calculate the remainder when (-2)/(-2) + (55 - 1) is divided by f.
10
Suppose -r = -2*r + 8. Let o = 15 - -3. Suppose 7*t - 2*t - o = -d, t - d = 0. What is the remainder when r is divided by t?
2
Let x = -180 - -466. Calculate the remainder when x is divided by 42.
34
Let j = -70 - -71. Calculate the remainder when j*(0 - (0 + -61)) is divided by 16.
13
Let w be (-3 - (2 + 0))*(-18 - 1). Suppose 2*d = -3*g - 14 + w, 230 = 5*d + 2*g. Calculate the remainder when d is divided by 17.
14
Suppose 0 = -k - i + 12, -k - 5*i = -6*k + 80. Let h(c) = 16*c**2 + 1. Let s be h(-1). Suppose -9 - s = -d. What is the remainder when d is divided by k?
12
Let q = 18623 - 18613. Suppose -2*r + 14 = 5*c, 5*c - 3*r - 35 = 2*r. Calculate the remainder when q is divided by c.
2
Let n be (-1 - -4) + 0 + 1. Let o be 6*12/9 - (8 + -4). Calculate the remainder when 41 is divided by 16/n*o - 2.
13
Let i(q) = -q**3 - 9*q**2 - 4*q - 6. Suppose -4*o + 6 = -18. Suppose o*y - 357 = 3*y + 5*g, y - 119 = 5*g. What is the remainder when y is divided by i(-9)?
29
Suppose -61*a = -65*a + 236. Calculate the remainder when a is divided by 24.
11
Suppose 2*l + 45 = 3*o - 8, -o - 4*l + 13 = 0. Calculate the remainder when 490 is divided by o.
14
Suppose 2*t + 1 - 7 = 0. Calculate the remainder when (-3)/(((-3)/15)/1) is divided by (t/2 - 1)*18.
6
Let z = -2105 + 2140. Calculate the remainder when 139 is divided by z.
34
Suppose 0 = -x - 0*t + 4*t + 30, -3*x = -5*t - 90. Let m = 42 - x. What is the remainder when ((-2)/4)/(1/(-46)) is divided by m?
11
Let s = -43 + 47. Suppose -o + h + 50 = 0, s*o - 4*h - 195 = -5*h. What is the remainder when o is divided by 25?
24
Let t = 131 + -125. Let k(b) = b**3 - 5*b**2 + b - 8. What is the remainder when 65 is divided by k(t)?
31
Suppose -28*j + 36*j - 72 = 0. Calculate the remainder when 186 is divided by j.
6
Let b be 0 - (-2 - (4 + 14)). Suppose -b = 3*a - 7*a. What is the remainde