. Calculate the remainder when b is divided by 40.
15
Let l = -12302 + 12388. Calculate the remainder when 653 is divided by l.
51
Let i(k) = k**3 - 19*k**2 - 10*k + 331. What is the remainder when 700 is divided by i(19)?
136
Suppose f = 3*f - 80. Suppose -60*i + 74*i = 66*i - 1040. Calculate the remainder when f is divided by i.
0
Suppose 4*x - 279 - 437 = 0. Let s = -1386 + 1406. What is the remainder when x is divided by s?
19
Suppose -2*k + 3*b - 9 + 45 = 0, -b - 92 = -4*k. Suppose -18*w + 10*w - k = 0. What is the remainder when 18 is divided by (15/2 - 2)*2 + w?
2
Let d = 29 - 29. Suppose d = -7*x + 3*x - 12. Let k(m) = 6*m**2 + 8*m + 5. Calculate the remainder when 172 is divided by k(x).
32
Suppose 143 - 125 = -3*y. Calculate the remainder when 24 - (9/y)/(3/6) is divided by 19.
8
Let x be (15/(-9))/((-3)/(-117)). Let r = -127 - x. Let u = r + 66. What is the remainder when 5 is divided by u?
1
Let d = -2977 + 2988. What is the remainder when 1693 is divided by d?
10
Suppose -5*d + 0*d + 3*w + 917 = 0, 4*d - 712 = -3*w. Suppose -2*g = -23*g + 1974. Calculate the remainder when d is divided by g.
87
Let q(t) = -t**3 + 18*t**2 - 5*t + 21. Let i be q(17). Suppose 5*j - i = -0*j. What is the remainder when (1 + 56)/(j/60) is divided by 16?
12
Suppose 0 = 94*v - 320*v + 132888. Calculate the remainder when v is divided by 148.
144
Let z(h) = -h**3 - 4*h**2 - 3*h - 2. Let i be z(-3). What is the remainder when 0/5 - 36/(-1) is divided by i/(7/(-182)*4)?
10
Let n = -108 - -153. Suppose -4*p = u - 45, -141 = -4*u - 3*p - 0. Calculate the remainder when 102 - (-3)/(n/(-20))*3 is divided by u.
32
Let w = 759 - 754. Suppose -x + 5*q = -141, -7*x + 453 = -4*x - w*q. What is the remainder when x is divided by 79?
77
Let v = 1168 + -1056. Suppose -1 = -n + 3. Suppose 80 = n*o - 76. What is the remainder when v is divided by o?
34
Let g(d) = -d**3 - 8*d**2 - 10*d - 9. Let r be (3 - 3) + (-84)/3. Let j = -5 - r. What is the remainder when j is divided by g(-7)?
11
Let u be -136 + (-1)/(-2)*-6. Let g(m) = -6*m**2 - 8*m - 38. Let y be g(-5). Let l = u - y. Calculate the remainder when l is divided by 9.
0
Let q(p) = 2*p**3 - 6*p**2 + 3*p + 2. Let z be q(2). Suppose -x + h + 68 + 187 = z, 0 = 3*h + 12. Calculate the remainder when x is divided by 36.
35
Let s(y) = -y**3 + 19*y**2 - 36*y + 12. Let k be s(16). Suppose 0 = t - 3*b + 11 - 87, -b = -3*t + k. Calculate the remainder when 267 is divided by t.
66
Suppose -4*s - 138 = -2*n, -9*n = -5*s - 6*n - 174. Calculate the remainder when 123 is divided by 2*-4 - (-55 - s).
11
Let h = -333 + 375. Let u(d) be the second derivative of d**3/6 + 5*d**2/2 - 5*d. Calculate the remainder when h is divided by u(7).
6
Suppose 10 = 4*d - 4*w - 10, -8 = -4*d - 2*w. Calculate the remainder when (24/5)/(9/60) is divided by 17/d*3/1.
15
Let r be (0 - 0)/(4/4*-1). Suppose 18*n - 1015 - 29 = r. What is the remainder when n is divided by 21?
16
Let l(k) = 2*k**3 - 23*k**2 - 9*k + 1. Suppose 0*w + i = 2*w - 21, 0 = 3*w - 3*i - 27. What is the remainder when l(w) is divided by 18?
1
Calculate the remainder when (5/4)/(70/642320) - -11 is divided by 36.
33
What is the remainder when 1835 is divided by ((-8)/6)/(142/(-639)) + 102?
107
Let o = 16 - -96. Suppose 4*c = 48 + o. Calculate the remainder when 118 is divided by c.
38
Let h(t) = 8*t**3 - t**2 + t + 1. Let u be h(-1). Let c = 24 + u. Let k(x) = 30642*x - 214468. What is the remainder when k(7) is divided by c?
11
Let v be 67 + 4*(-2)/(-4). Suppose -4 = 6*w - 5*w, -399 = -5*j - 4*w. Let k = j - v. Calculate the remainder when 97 is divided by k.
13
Suppose -384 = -3*d - c, -39 - 468 = -4*d - 3*c. Calculate the remainder when 408 is divided by d.
21
Suppose 4*v = 651 + 9. Suppose -u = -0*u - 56. Calculate the remainder when v is divided by u.
53
Suppose 90 = 3*s + 2*s. Suppose -36*y = -5*y - 1147. What is the remainder when y is divided by s?
1
Let s(o) = -o**3 - 26*o**2 - 100*o - 93. What is the remainder when s(-23) is divided by 17?
8
Suppose 0 = 5*b - 549 - 1141. Suppose -77*j = -51*j - b. Calculate the remainder when j is divided by 4.
1
Let r(w) = -w**3 - 5*w**2 + 12*w + 11. Let d(x) = -x**2 - 17*x + 31. Let v be d(-19). What is the remainder when 38 is divided by r(v)?
13
Suppose 155*j - 202916 + 15131 = 110*j. What is the remainder when j is divided by 2080?
13
Let n be 15/(-30)*(-8648 - 0). Suppose 55*w - n = 9*w. Calculate the remainder when w is divided by 46.
2
Suppose 6 + 8 = 2*x. Suppose -134*m - 46*m - 10*m = -299 - 1791. Calculate the remainder when m is divided by x.
4
Let p(v) = -6*v**2 + 54*v + 6. Let l(u) = u**2 + 4*u - 88. Let a be l(8). Calculate the remainder when p(a) is divided by 7.
5
Let g be ((-1)/2)/(1/(-22)). Let n(k) be the third derivative of -k**4/12 + 7*k**3 + 657*k**2. What is the remainder when 118 is divided by n(g)?
18
Suppose 0 = -7*u + 15 + 104. Suppose -3*n - 12 = -g - 2*g, -4*g + 3*n + u = 0. Calculate the remainder when 13 is divided by g.
3
Suppose -u = 5*t - t - 4, 5*u = -2*t - 16. Calculate the remainder when (-166)/(-12)*t + (-3)/(-9) is divided by (-18)/(-12)*(-4)/12*-8.
0
Let p be (219 - (-3)/1)*(-6)/12. Let n = p - -115. Suppose j + 142 = 3*q, -j = n*j + 20. What is the remainder when q is divided by 25?
21
Calculate the remainder when 480 is divided by ((-1408)/55 + 26)*385.
18
Let k = -365 + 372. Let u = -1 - 9. What is the remainder when (-124)/u - 4/10 is divided by k?
5
Let i(f) = 63*f**3 + 4*f**2 + 5*f + 2. Let z be i(-2). Let k = z + 505. Calculate the remainder when 54 is divided by k.
0
Let b(r) = r**2 + 20*r + 84. What is the remainder when 6666 is divided by b(-5)?
6
Let o(l) = -l**3 + 16*l**2 + 268*l - 108. Calculate the remainder when o(26) is divided by 52.
48
Let y = 5759 + -5728. Calculate the remainder when 317 is divided by y.
7
Let t = 3499 - 3366. What is the remainder when t is divided by 33?
1
Suppose 2*z = -5*d + 25, -d - 3*d + 3*z - 3 = 0. Suppose 0 = d*o + t - 5*t + 33, -5*t - 45 = 2*o. What is the remainder when o/10 - (-885)/10 is divided by 22?
21
Let t = -12 + 18. Suppose -7*c - 19 - 17 = n, 2*c = -2*n + 12. Calculate the remainder when n is divided by t.
1
Let b(t) = 23 + 22768*t + 22754*t - 45508*t + 10. Let x(n) = n**2 + 2*n. Let c be x(-4). What is the remainder when b(c) is divided by 30?
25
Let g(p) = 4*p**3 - 4*p**2 + 2*p - 13. Let b be g(3). Suppose -q + b + 33 = 0. What is the remainder when q is divided by -2 + -2 - 2*-19?
30
Let s(a) = 2*a**2 - 2. Let f(i) = 15*i**2 - 365*i - 2. Let d(l) = f(l) - 4*s(l). Calculate the remainder when d(53) is divided by 66.
60
Suppose 4*d - 114 - 270 = 0. Suppose 0 = 4*r - 2*h - 58, -478*r - 24 = -477*r + 5*h. Calculate the remainder when d is divided by r.
8
Let j(b) be the second derivative of 7*b**4/12 - 2*b**3/3 + b**2 - 12*b. What is the remainder when j(-3) is divided by 23?
8
Suppose 2*l - 73 = -3*j, 4*l - 8 = 12. Let z(s) = 4*s**2 - 17*s - 8. Calculate the remainder when 6/(-21) - (-258)/j is divided by z(5).
5
Let q(c) = -c**3 - 13*c**2 - 14*c - 14. Let i be q(-10). Let h = -36 - i. Suppose 216 + h = 6*t. Calculate the remainder when t is divided by 21.
17
Calculate the remainder when 195 is divided by 9 + (-54)/9 - (-105 + 3)/3.
10
Let h be 24/(-14) - 24/84. What is the remainder when (6*39/90)/(h/(-10)) is divided by 5/((1 - 0)/1)?
3
Let k = -453 - -623. Suppose 182*f - 1236 = k*f. Suppose 2*y = -2*t + 22, -2*t - t + 53 = -2*y. Calculate the remainder when f is divided by t.
13
Let g(u) = 6*u**2 - 15*u - 33. Let b(o) = 7*o**2 - 13*o - 35. Let q(m) = 4*b(m) - 5*g(m). Calculate the remainder when q(11) is divided by 20.
16
Suppose -85 = -7*u - 1. Suppose u*p - 1181 - 691 = 0. Calculate the remainder when p is divided by 40.
36
Suppose 10011 = 1096*n - 1025*n. What is the remainder when n is divided by 61?
19
Let b be 18/(2 + 25/(-20)) - 1. Let a = 15 + b. What is the remainder when 187 is divided by a?
35
Suppose 3*g = -m + 2, 2*m + 0*m = 2*g - 4. Let v = -33 + m. Let y = -26 - v. What is the remainder when 30 is divided by y?
6
Let w(r) = 2*r**2 - 12*r**2 + 9*r - 9 + 8*r**3 + 4*r**2. Calculate the remainder when w(3) is divided by 92.
88
Let k(f) = 59*f**2 - 4*f + 2. Let r be k(1). Let h = r - 50. Calculate the remainder when 32 is divid