2
Suppose 106 = 3*t - 5*t. Let x = 89 + t. Calculate the remainder when x is divided by 10.
6
Let v = -374 + 506. Calculate the remainder when v is divided by 20.
12
Suppose 42*b - 37*b - 4*i - 320 = 0, 4*i = -b + 40. What is the remainder when 778 is divided by b?
58
Let v = -40 - -34. Let s(i) = 4*i + 18. Let w(j) = 4*j + 18. Let l(g) = 4*s(g) - 5*w(g). Calculate the remainder when 27 is divided by l(v).
3
Calculate the remainder when (-294)/(10/(80/(-12))) is divided by 27.
7
Let c(m) = -5*m**2 - 36*m - 14. What is the remainder when c(-6) is divided by 15?
7
What is the remainder when 80 is divided by -2*(-5)/(10/27)?
26
Let y(t) = -4*t**2 + 73*t - 28. What is the remainder when y(16) is divided by 34?
14
Let j = 124 + -97. What is the remainder when j is divided by 7?
6
Suppose -9*f + 1331 + 3862 = 0. What is the remainder when f is divided by 58?
55
Suppose 3 = -y + 2*b, -2*b - 12 = -5*y + 9*y. Let n(f) = 3*f**2 + 2*f - 1. What is the remainder when n(y) is divided by 11?
9
Let h be (213 - 1) + (-3 - -1). Suppose 113 = 2*m + 3*s, 101 + h = 5*m - 2*s. What is the remainder when m is divided by 16?
13
Let p be 1*1/(-3)*(42 - 45). Let y(b) be the second derivative of b**5/2 + b**3/6 + b. Calculate the remainder when y(p) is divided by 6.
5
Let u = -232 - -264. What is the remainder when 126 is divided by u?
30
Let h(y) be the first derivative of -y**4/4 + 8*y**3/3 - 4*y**2 + 3*y - 4. Let m be h(7). Calculate the remainder when (m/(-12))/((-1)/(-57)) is divided by 7.
5
Suppose -2*c + c + 7 = 0. What is the remainder when (-5 + 3)*30/12 - -19 is divided by c?
0
Let p(b) be the third derivative of -b**6/120 - b**5/6 - b**4/8 - 5*b**3/6 - 6*b**2. What is the remainder when p(-10) is divided by 13?
12
Suppose 9*y - 288 = -36. Let j(t) = 3*t - 2. Calculate the remainder when y is divided by j(4).
8
Suppose -38*m + 18*m + 740 = 0. Calculate the remainder when 258 is divided by m.
36
Let j be -2 - (0 + 1 + 2). Let w = j + 8. Suppose m - 11 = d, 2*d + 30 = -0*m + 3*m. Calculate the remainder when m is divided by w.
2
Let y be 24/9*(-6)/(-4). Suppose 0*r - r + 5*j = 0, -21 = -5*r + y*j. Calculate the remainder when r is divided by 2.
1
Let n = 32 + -5. Let p(i) = -i**3 - 4*i**2 - 2*i + 5. Let v be p(-4). Suppose n = 4*s - v. What is the remainder when 46 is divided by s?
6
Suppose -z + 3 = 0, 2*d + z + 1 = 144. What is the remainder when d is divided by 4?
2
Let u(j) = 6*j - 19*j**2 + 9 + 13*j**2 + j**3 + 13*j**2 + 0*j**2. Let s be -2*(2 - (-2 - -1)). Calculate the remainder when u(s) is divided by 4.
1
Suppose 6*s - 16*s - 20 = 0. What is the remainder when 72 + 4/(-2)*s is divided by 26?
24
Let n(l) = 4*l**3 - l**2 + l. Let z be n(1). Suppose z*x = 55 + 21. Let d(f) = 7*f**2 + 842*f + 296. What is the remainder when d(-120) is divided by x?
18
Suppose -2*q + 32 = 2*q + 4*u, 0 = -2*q + 2*u + 8. Suppose q = 5*n - 19, l - 33 = -5*n. What is the remainder when 11 is divided by l?
3
Let u = 34 - -242. What is the remainder when u is divided by 40?
36
Let s(r) be the first derivative of 2*r**2 - 13*r - 3. Let q be s(8). Calculate the remainder when 0 + -2 + q - 2 is divided by 9.
6
Calculate the remainder when 216 is divided by (-12)/(-2) + -58 + 62.
6
Suppose 0 = 3*y - y + l - 16, 4*l = -4*y + 36. Let o = -75 - -115. Calculate the remainder when o is divided by y.
5
Let p = 10 + -26. Let g = 22 + p. Suppose -315 = v - g*v. Calculate the remainder when v is divided by 16.
15
Suppose 0 = -6*w + 11*w. Suppose w = 2*u - 56 - 56. Calculate the remainder when u is divided by 29.
27
Let q = 12 + -10. Suppose n = -1 - q. What is the remainder when 3 is divided by (-2 + 1)*(-4 - n)?
0
Let d = -26 - -36. Let v be 5/4 - (-3)/(-12). Suppose n - a - 27 = 0, a - 26 = -n + v. Calculate the remainder when n is divided by d.
7
Let w be (0 - (4 + -8))*1. Suppose -w*j = c + 13, j - 11 = -c - 4*c. Let y = 10 - 1. Calculate the remainder when y is divided by c.
0
Let t be -1*(11 - (12/(-3))/(-1)). Let p(j) = -j**3 - 7*j**2 - 2*j + 12. What is the remainder when 127 is divided by p(t)?
23
Let q(y) = -6*y**2. Let u be q(1). Let i = -3 - u. Suppose -2*h = 2*h + 8, 5*p - i*h = 71. What is the remainder when p is divided by 8?
5
Let c = -28 + 47. What is the remainder when c is divided by (((-56)/5)/4)/((-32)/80)?
5
Suppose 126*n + 2394 = 135*n. What is the remainder when n is divided by 54?
50
Suppose 9*u + 250 = 619. Calculate the remainder when 202 is divided by u.
38
Let r(g) = -2*g**3 + 15*g**2 - g - 20. Calculate the remainder when 832 is divided by r(7).
18
Suppose -s + 17 = 4. Let q = 9 - 2. Suppose -198 = -q*f + 138. Calculate the remainder when f is divided by s.
9
Let o(c) = -c**2 - 13*c + 27. Let m be (-88)/7 + (3/7)/(-1). Calculate the remainder when o(m) is divided by 14.
13
What is the remainder when 16 is divided by ((-81)/54)/(-1 + 2/4)?
1
Let u = 16 + -10. Let i be -4*1 - (-3 + -2). Suppose 3*c - 5*x = -i, 0 = -c + x - 0*x + 1. Calculate the remainder when u is divided by c.
0
Suppose -154 = 8*k - 410. Let q = 65 - k. What is the remainder when 97 is divided by q?
31
Let t(x) = -2*x**2 + 22*x - 6. Suppose 5*s + 0*s = -2*p + 131, -s - 69 = -p. Let g = -14 + p. Calculate the remainder when g is divided by t(10).
12
Suppose 3*o + 68 = -o. Let n = o - -7. Calculate the remainder when 4/n + (-636)/(-15) is divided by 11.
9
Let n = 176 - 157. Let y(v) = 8*v - 1. What is the remainder when n is divided by y(1)?
5
Suppose 25 = 77*h - 76*h. What is the remainder when 31 is divided by h?
6
Let z(l) = 12*l**3 + l**2 - 4*l + 7. What is the remainder when 493 is divided by z(2)?
97
Suppose -2*a = 2*a - 160. Let n = 29 - 29. Calculate the remainder when a is divided by -3*(42/(-9) - n).
12
Suppose c = 3*j + 7, -46 = -5*c + 6*j - 2*j. Suppose -q + p = -27, -6 + 18 = 4*p. Calculate the remainder when (-1184)/(-10) + (-4)/c is divided by q.
28
Suppose -177 = -5*g + 53. Suppose -3*k - 21*r + 76 = -25*r, -5*k = -5*r - 125. What is the remainder when -4*(0 - g/4) is divided by k?
22
Let y = 164 + -121. Suppose 0 = 5*o + 3 - y. Suppose 0 = -0*z - 4*z + 124. Calculate the remainder when z is divided by o.
7
Let s(w) = 4*w**2 + 22*w - 70. What is the remainder when 1317 is divided by s(-10)?
107
Let i(n) be the first derivative of 29*n**4/4 + n**3/3 + n**2/2 - 2*n - 12. Calculate the remainder when i(1) is divided by (-1*15)/((-3)/3).
14
Let f(d) = 24*d + 1. Let u be f(6). Suppose -20 = 5*h - u. Suppose k + 9*v - 10*v - 9 = 0, -5*v - 32 = -4*k. Calculate the remainder when h is divided by k.
12
Let s(b) = 15 - b**3 + b + b + 27*b**2 + 36*b**2 - 60*b**2. Calculate the remainder when 12 is divided by s(4).
5
Let a = 12 - 10. Suppose -w + 11 = k, -a*k + w = k - 17. Calculate the remainder when 47 is divided by k.
5
Let m(z) = z**3 - 2*z**2 - z - 3. Suppose -824*f = -827*f + 39. What is the remainder when m(4) is divided by f?
12
Let r(o) = -6*o**2 - 13*o**3 + 14*o**3 + 15 - 2*o**2 + 9*o. What is the remainder when 143 is divided by r(7)?
27
Let z(w) = w**2 + 4*w - 1. Suppose 2*y = 2*c + 76, 0 = -4*y - c - 4*c + 188. Let g = 84 - y. What is the remainder when g is divided by z(-6)?
9
Suppose 883 = 4*o - 0*o - v, 0 = -5*o + 2*v + 1106. What is the remainder when o is divided by 9?
4
Suppose 0 = 3*r + 2*k - 14, -5*r + r = k - 17. Suppose -72 = -z + r*d, 3*z - 4*d + 2*d = 226. What is the remainder when z is divided by 27?
22
Let a(r) = -r**3 - 4*r**2 - 18*r - 48. Calculate the remainder when a(-5) is divided by 18.
13
Suppose -5*p - 5*f + 3 = -57, 53 = 4*p + 5*f. Calculate the remainder when 25 is divided by p.
4
Let z = -1501 + 1759. Calculate the remainder when z is divided by 88.
82
Suppose z - 8 - 78 = 0. What is the remainder when (1 + 7 - 4) + z is divided by 31?
28
Suppose 20 = 3*f + 38. Let t = f + 20. What is the remainder when 54 is divided by t?
12
Let l(k) be the first derivative of 7*k**3/3 + 3*k**2/2 + 2*k - 3. Calculate the remainder when 29 is divided by l(-1).
5
Suppose -2*j + 25 = 3*j. Suppose 18 = b - 2*b - j*o, 5*b - 4*o = 26. What is the remainder when 8 is divided by ((-120)/(-36))/(b/3)?
3
Suppose -43 = 3*k - 145. Suppose 0 = 5*s - k + 9. Let g = -3 - -6. What is the remainder when s is divided by g?
2
Let p(d) = -d**3 - 7*d**2 - 9*d - 6. Let a be p(-6). Let b b