n t is divided by x.
0
Let p(l) = l**3 - 6*l**2 - 29*l - 4. What is the remainder when p(12) is divided by 57?
56
Let p(o) = 4*o**2 + 10*o + 12. What is the remainder when 40 is divided by p(0)?
4
Suppose 6*u + 850 = u. Let j(f) = 3*f. Calculate the remainder when 2*(-1 + u/(-4)) is divided by j(7).
20
Suppose 5*g + 28 = 2*s - 2, 0 = -s - g + 8. What is the remainder when 19 is divided by s?
9
Let c(g) = -g + 51. What is the remainder when 305 is divided by c(0)?
50
Suppose 3*s - 172 = 914. Suppose -s + 29 = -9*z. Calculate the remainder when z is divided by 10.
7
Let h = 23 - 9. Let a be (-5)/20 - (-34)/8. Calculate the remainder when h is divided by ((-2)/a)/(4*3/(-216)).
5
Let u(c) = 14*c - 8. Let l(r) = -2*r. Let d(j) = 24*l(j) + 3*u(j). Calculate the remainder when 2/4 + 78/4 is divided by d(-6).
8
Let k(x) = 2*x**3 - 3*x**2 + 3*x. Let g(n) = n**2 - n + 2. Let r be g(0). Let t be k(r). Let o = t - 3. Calculate the remainder when 25 is divided by o.
4
Suppose 16 = 12*t - 104. Suppose 3*k + t - 19 = 0. Calculate the remainder when 8 is divided by k.
2
Suppose -4*l = 22*l - 624. Calculate the remainder when l is divided by 8 + (0 - -1)*1.
6
Let h(q) = 5*q + 198. Calculate the remainder when h(4) is divided by 47.
30
Let g(r) = r**2 - 10*r + 6. Calculate the remainder when 241 is divided by g(15).
79
Suppose 0 = -0*i - 5*i - 5*k + 55, 3*i - 49 = k. Suppose -57*t + 363 = -2031. What is the remainder when t is divided by i?
12
Calculate the remainder when (-2434)/(-18) - (0 + 4/18) is divided by 34.
33
Let b be 186/26 + (-42)/273. Let v(i) be the first derivative of i**3 - 9*i**2/2 - 10*i - 1. Calculate the remainder when v(b) is divided by 15.
14
Let c(y) = -y**2 - 10*y - 2. Let s be c(-9). Let j be s - 7 - (-1 + -25). Let i = j - 12. What is the remainder when i is divided by 9?
5
Let j be (-1)/5 + (-5288)/10. Let k be j/(-9) - (-2)/9. Suppose 67 - 23 = 2*l - 2*b, 5*b + k = 2*l. What is the remainder when l is divided by 5?
2
Let q be (2/3)/((-2)/(-3)). Let h(c) = -c**3 - 12*c**2 - 4*c + 10. Calculate the remainder when h(-12) is divided by (-5 - -18) + q/(-1).
10
Let t be (0 + -9)*4/(-6). Let i(a) = -2*a - 5 + 7*a**2 - 4*a + 8 - a**3 + a. Calculate the remainder when 34 is divided by i(t).
7
Suppose -23281 = 13*t - 23710. Suppose -v - 4*v = -40. What is the remainder when (v + -1)/(2/18) is divided by t?
30
What is the remainder when 26828/(-114)*6/(-4) is divided by 59?
58
Let r(a) = 2*a**2 + 33*a - 4. What is the remainder when 33 is divided by r(-17)?
7
Suppose -68 = 5*d + 7. Let r = d + 17. Suppose r*t - 17 = 5. What is the remainder when 18 is divided by t?
7
Let v(r) = 20*r + 17. Let b be v(9). Let n = b + -88. Calculate the remainder when n is divided by 14.
11
Let a(g) = -15*g + 335. Calculate the remainder when a(-8) is divided by 117.
104
Suppose -2*b = -54 - 48. Calculate the remainder when 407 is divided by b.
50
Let r = 1121 - 862. Calculate the remainder when r is divided by 40.
19
Let i(j) = -16*j + 814. What is the remainder when i(25) is divided by 32?
30
Let n be 3/18 - 139/6. Let r = 8 - n. Suppose 0 = 5*l - 5*z - 80, -2*l + 7*z + 30 = 3*z. What is the remainder when r is divided by l?
14
Let a = 406 - 393. What is the remainder when 42 is divided by a?
3
Let v(p) = -33*p - 101. Calculate the remainder when v(-6) is divided by 7.
6
Calculate the remainder when (-2)/5 - (-552)/30 is divided by ((-13)/(-2) - 5)/((-3)/(-8)).
2
Let f(b) = -2*b + 6*b**2 + 0*b - 4*b**3 + 5*b**3 - 6*b - 2. Let g be f(-7). Let n = 28 + g. Calculate the remainder when n is divided by 18.
15
Let a be -4*(59/(-3) + (-10)/(-15)). Suppose -39 + a = p. Calculate the remainder when p is divided by 10.
7
Suppose f = m + 10, -29 = 3*f + 2*m - 84. Let s be (2/4)/((-5)/(-10)). Let g = s - -5. Calculate the remainder when f is divided by g.
3
Suppose -4*k - 4*b + 2*b = -8, 3 = -5*k + 4*b. Let t be (-4*(-4)/48)/(2/270). What is the remainder when (54/t)/(6/15) is divided by k?
0
Suppose v = -5*w + 16, -12*w = -15*w + 3*v + 24. What is the remainder when 77 is divided by w?
1
Let y(r) = -26*r - 229. What is the remainder when 156 is divided by y(-11)?
42
Let i(w) = 2*w**2 - 101*w + 62. What is the remainder when 442 is divided by i(51)?
103
Suppose 45 = m + i - 0*i, -4*m - 5*i = -182. Calculate the remainder when 167 is divided by m.
38
Suppose 5*f - 399 + 94 = 0. Suppose -3*b + 11 + f = 0. Let d(c) = c**3 - 4*c**2 + 4*c - 3. What is the remainder when d(6) is divided by b?
21
Suppose 45*j = -58*j + 5150. Let h = 358 - 111. Calculate the remainder when h is divided by j.
47
Let k(c) = -38*c - 32. Let i be k(-11). Calculate the remainder when (-3 + 1)/((-2)/i*2) is divided by 39.
37
Suppose -12*r + 541 + 11 = 0. What is the remainder when r is divided by 13?
7
Let h(j) = -j - 2. Let m be h(-1). Suppose d = 3*a + 4, 0 - 4 = 5*a - d. Calculate the remainder when 62 is divided by 8/m*(a + -2).
14
Let x = 2 + 0. Suppose 5*z + 2*l = 4*l + 1534, -2*z + x*l = -610. Suppose -4*b + z = 2*c, 292 = 4*b - 0*b - 2*c. What is the remainder when b is divided by 19?
18
Suppose -32 = 11*l - 208. Calculate the remainder when 18 is divided by l.
2
Let c(z) = 421*z**3 - 17*z**2 + 16*z + 2. Calculate the remainder when c(1) is divided by 6.
2
Let r(s) = -s**2 - 5*s + 2. Let n be r(-5). Suppose 3*g - 20 = n*g. Suppose 10 = d - g. What is the remainder when d is divided by 16?
14
Suppose -o + 2 = -4*t - 0*t, -2*o + 48 = 3*t. Calculate the remainder when 33 is divided by o.
15
Suppose -24*p + 22*p = -452. Calculate the remainder when p is divided by 58.
52
Let v = -97 - -256. What is the remainder when v is divided by 46?
21
Let u be -4*(-2 + 9/12). Let p = -5 - -16. Calculate the remainder when p is divided by (-72)/(-20) + 2/u.
3
Suppose 2*t + 5*t = 182. Calculate the remainder when t/2 - (12 - 14) is divided by 10.
5
Let y = 57 + -35. Calculate the remainder when 14/(-77) + 862/y is divided by 10.
9
Let v(g) = 22*g + g**2 - 9 - 9*g - 2*g**2 - 9. Calculate the remainder when 51 is divided by v(9).
15
Let r = 837 - 633. Calculate the remainder when r is divided by 9.
6
Suppose 4*y - 30 = 30. Let f(v) = v + 9. Let q be f(-7). Suppose 0 = 4*u - 3*i - 224, -3*u + 280 = q*u + i. What is the remainder when u is divided by y?
11
Let w be 24/15 + 8/20. Let y(v) = 5 - 6*v + v**3 - 7*v**w + 2 + 3 - 3. Calculate the remainder when y(8) is divided by 12.
11
Let m(o) = 2*o**2 + 25*o - 53. What is the remainder when 482 is divided by m(-15)?
20
Suppose -3*z + 14 = b, -z - 3*b + 7 = z. Suppose -z*h = -200 + 55. What is the remainder when h is divided by 10?
9
Suppose 478*i - 162 = 469*i. What is the remainder when i is divided by 4?
2
Suppose -23 - 9 = -4*u. Suppose u*i - 65 = 3*i. Calculate the remainder when 35 is divided by i.
9
Let i be (-800)/136 + (-2)/17. Let j = 46 + -28. Calculate the remainder when 420/8 + i/4 is divided by j.
15
Suppose -8*d - 5*l + 180 = -4*d, 4*l + 180 = 4*d. Calculate the remainder when 126 is divided by d.
36
Let x(h) = 25*h - 6. What is the remainder when x(5) is divided by 12?
11
Let y(b) = -17*b - 6. What is the remainder when 1646 is divided by y(-1)?
7
Let c = -1465 - -1553. Calculate the remainder when 703 is divided by c.
87
Calculate the remainder when 645/(-860)*(-140)/3 is divided by 10.
5
Suppose -4*v + 34*u = 31*u - 936, 5*v = u + 1181. What is the remainder when v is divided by 52?
29
Let k(z) = 13*z - 1. Let f be k(2). Suppose 5 - f = -2*v. Calculate the remainder when (3/4)/(1/36) is divided by v.
7
Let s = 33 - 36. What is the remainder when 36 is divided by 57*s/(-9) - -1?
16
Let o(d) = -d**3 - 14*d**2 + 2*d + 14. Let r be o(-14). Let n = r + 36. Calculate the remainder when n is divided by 13.
9
Let u = 23 + -8. What is the remainder when 1*1/(-1) - -58 is divided by u?
12
Suppose 7*c = 2*c - 10. Suppose 2*o - 4*d + 6*d - 80 = 0, -3*d - 102 = -3*o. Calculate the remainder when o is divided by 40/2 - (3 + c).
18
Let c = 13 - -9. Let p(r) = -r**3 + 19*r**2 + 18*r + 18. Let v be p(19). What is the remainder when 1 - 4 - v/(-4) is divided by c?
21
Suppose -q + 2*z + 12 = 0, -12 - 30 = -q - 3*z. Suppose y + 281 = 2*c, c + y - 565 = -3*c. Calculate the remainder when c is divided by q.
21
Suppose 13*j = j - 72. Calculate the remainder when (8/j - -3)