mainder when b is divided by r.
8
Calculate the remainder when 153 is divided by -100*((-7)/(-10) - (-111)/(-74)).
73
Suppose 0 = -5*b + b - 3*a + 57, 5*a - 40 = -3*b. Let j = -15 - b. What is the remainder when 88 is divided by (75/j)/((-1)/12)?
28
Let k = -923917 - -923977. Let a(r) = r + 17. What is the remainder when k is divided by a(0)?
9
Suppose 17*o = 968 + 1276. Suppose -2*p - 2*y = -o, -p + 4*y + 70 = -16. What is the remainder when p is divided by 12?
10
Let i(n) = 2*n + 8. Let m be i(5). Suppose 0 = m*w - 17*w - 5*q - 190, -2*q + 380 = 2*w. Calculate the remainder when w is divided by 64.
62
Suppose 18*q - 57 = -q. Suppose -3*s + q*c = -s - 292, -3*c = -12. Calculate the remainder when s is divided by 12.
8
Suppose 9*g - 20020 = -13*g. Let d = -895 + g. Calculate the remainder when 104/4 + (0 - -1) is divided by d.
12
Calculate the remainder when 1014 is divided by 136 - (-11 + (12 - 8) + 16).
125
Let u = -15824 + 17927. What is the remainder when u is divided by 697?
12
Let a = 30 + 19. Let g(f) = 13*f + 691. Calculate the remainder when a is divided by g(-52).
4
Let p = 30551 - 29925. Calculate the remainder when p is divided by 91.
80
Let s = -7539 + 7621. What is the remainder when 272 is divided by s?
26
Suppose 4*k - 5*g - 60 = -k, -5*g = -2*k + 9. Let i = -44 - -48. Suppose -3*c = -i*c + 67. What is the remainder when c is divided by k?
16
Let b = -2737 - -3909. What is the remainder when 2345 is divided by b?
1
Let a = 65 + -36. Suppose 3*z - 1998 = 5*d + 2*z, 2*d + 810 = 4*z. Calculate the remainder when (0 - -8)*d/(-38) is divided by a.
26
Let q(f) = 40*f - 23. Calculate the remainder when 933 is divided by q(2).
21
Suppose 4*w = o - 102, -257*w + 260*w = 4*o - 369. What is the remainder when 580 is divided by o?
40
Let k = 507 + -511. Suppose -5*j + 100 = -4*s, 0*s = j - s - 21. Calculate the remainder when (-5304)/(-170)*(-10)/k is divided by j.
14
Suppose -4*i = s - 4867, -2*i - 5*s = 302 - 2749. What is the remainder when (27/(-6))/((-16)/i) is divided by 86?
84
Suppose 0 = 10*z - 3069 + 2989. What is the remainder when 1789 is divided by z?
5
Let c = -51 + 71. Let s be -4 + 27/(-3)*4/(-6). Suppose -3*l + s*x = 1 - 31, 0 = x - 3. Calculate the remainder when c is divided by l.
8
Let k(p) be the second derivative of -p**5/10 - 5*p**4/4 - 4*p**3/3 + 17*p**2/2 - p + 66. Calculate the remainder when 68 is divided by k(-7).
20
Suppose 4*s - 4 = g, -2*s - 5 = -3*g + 23. Calculate the remainder when 409 is divided by g.
1
Let w = -30 + 23. Let z be 6920/160 - (1 - w/(-4)). Suppose -43*d = -z*d + 16. Calculate the remainder when 158 is divided by d.
14
Let a = 4 - 4. Suppose 5*i + a = 2*s - 28, 5*s - 70 = 5*i. Calculate the remainder when (((-138)/10)/(-3))/((-86)/(-430)) is divided by s.
9
Let a(j) = 30*j + 128. Calculate the remainder when 392 is divided by a(0).
8
Suppose -15 + 36 = -l. Let t be (3/4)/(l/(-84)). Suppose -5*p = t*y - 104 + 19, -2*y = 10. What is the remainder when 78 is divided by p?
18
Let x = -14 - -23. Let g(k) = 1. Let t(f) = 2*f**3 + 18*f**2 + 21*f - 3. Let n(m) = 6*g(m) + t(m). What is the remainder when n(-7) is divided by x?
7
Suppose -17 = -y - 21. Let k be -2 - 161/(-3) - y/12. Suppose a - k = -a. What is the remainder when a is divided by 11?
4
Suppose 0 = -6*j - 1445 + 1469. Let f = 4 + -1. Suppose -f*z + 11 = -2*v, j*z - v - 18 = 5. Calculate the remainder when 20 is divided by z.
6
Let z(x) = 3*x**2 + x. Calculate the remainder when 918 is divided by z(-8).
182
Suppose 2*y = -2*y + z + 18, y + z = 2. Suppose 2*v + 5*d = -0*v + 15, -37 = -y*v - 3*d. Calculate the remainder when 148 is divided by v.
8
Let a = 28 - 40. Let w(d) = -2*d - 13. Suppose 0 = -16*n + 19*n + 4*q - 5, -2*n + 2*q = -22. What is the remainder when w(a) is divided by n?
4
Let v(w) = w. Let q(h) = -h**3 + 16*h**2 + 23*h + 25. Let u(c) = q(c) - 6*v(c). Let d be u(17). Calculate the remainder when 32 is divided by (d - 11) + -5*1.
5
Let r = -35 - -116. Let j = r - -68. Calculate the remainder when j is divided by 12.
5
Let a = -19522 + 19537. What is the remainder when 2862 is divided by a?
12
Calculate the remainder when ((-10)/(-2) - 14)*(-45106)/171 is divided by 170.
164
Let h = 16 - 21. Calculate the remainder when 39 is divided by 3/h + ((-9492)/30)/(-14).
17
Let x(p) = -1 - 4*p**2 + 15*p**2 + 2 - 13*p**2 + 14*p. Let k(g) = -g**2 - 6*g + 1. Let y be k(-5). Calculate the remainder when 21 is divided by x(y).
8
Suppose -11*m = -m + 980. Let o be 54 - ((-2)/(-4) - m/28). Suppose -4*n + o = 34. Calculate the remainder when 6 is divided by n.
2
Suppose 4*s - 943 = -971, 0 = -2*k - 3*s + 79. What is the remainder when k is divided by 34?
16
Let d(r) = r**3 + 3*r**2 + 3. Suppose -2*w = -4*w - 6. Suppose -2*o = -x + 14, -5*x + 32 = 4*o - 10. Calculate the remainder when x is divided by d(w).
1
Let r(n) be the first derivative of -n**3/3 - 3*n**2 + n + 8. Let d be r(-6). Let k(w) = 83*w**2 + 3*w - 2. What is the remainder when k(d) is divided by 17?
16
Suppose 4*p = -66 - 154. Calculate the remainder when 123 is divided by 1/5 + (-1639)/p.
3
Let d(s) = 8*s - 2. Calculate the remainder when 3/(6/(-8)) + 97 + -13 is divided by d(3).
14
Suppose q = 2*q + 47. Let a = 35 + q. Calculate the remainder when 34 is divided by (7/4)/(2 + 21/a).
6
Let p(d) = -3*d + 21. Let q be p(-5). Let n = -71 - -101. What is the remainder when n is divided by (-6 - -7)/(3/q)?
6
Let d = 66 - 35. Let g = -12 + 17. Suppose -g*x + p + 90 = 0, 16 = -5*x + 5*p + 106. Calculate the remainder when d is divided by x.
13
Suppose 33*f - 48 = 3575 + 733. What is the remainder when 492 is divided by f?
96
Suppose 2*y - 61 = q, -2*q + 7*q + 53 = y. What is the remainder when 568 is divided by y?
8
Suppose -f = 4*f - 35. Let r be 0/(-1*(-5 - -6)). Suppose d - 2 = -r*d. What is the remainder when f is divided by d?
1
Let t(b) = 162*b**2 - 156*b + 29. Calculate the remainder when t(3) is divided by 30.
29
Suppose 2*p - 47 = 3*l, -3*p + 20 = -2*l - 53. Suppose 0 = 2*a + 17 - p. Calculate the remainder when 10 is divided by a.
2
Let i(j) = 1274*j - 639. Calculate the remainder when i(4) is divided by 1482.
11
Let l(z) = z**3 - 10*z**2 - 3*z + 31. Let v be l(10). What is the remainder when 84/56*v/(-3)*-166 is divided by ((-17)/4 - -3)*-4?
3
Suppose 72 = 3*c - 93. Suppose -5*d + 5*g + 115 = 0, -9*d + 2*g = -8*d - 30. Calculate the remainder when c is divided by d.
7
Let x(t) = -12*t + 70. Let c be x(17). Let b = 135 + c. What is the remainder when 13 is divided by b?
0
Let r(d) = -30*d - 273. Calculate the remainder when r(-12) is divided by 30.
27
Let i(f) = -f**3 - 32*f**2 - 16*f + 615. What is the remainder when 730 is divided by i(-31)?
130
Suppose 0*z = -4*z + 232. Suppose -5 = 3*l - 17. Suppose l*i = -i + 80. What is the remainder when z is divided by i?
10
Let b(i) = -149*i - 35. Let h(y) = 223*y + 52. Let d(k) = -7*b(k) - 5*h(k). Let j be d(3). Let n = j - -354. What is the remainder when n is divided by 25?
23
Suppose -2*x = -4*b - 0*b + 10, -x + 3*b - 9 = 0. Let n be 2 - (x + (3 - 3)). What is the remainder when n/3 + 9/((-54)/(-116)) is divided by 11?
8
Let l be 1/((-35)/(-165)) - 6/(-21). Let x be (4/l)/(2/(-20)*-4). Suppose 0 = -7*q + 89 + x. Calculate the remainder when 50 is divided by q.
11
Suppose u + 85 = 2*c, 0 = -2*c - 1547*u + 1550*u + 95. What is the remainder when 286 is divided by c?
6
What is the remainder when 825 is divided by 4 + (-17)/5*(9 + 5 + -24)?
27
Let v(a) = a**2 + 15*a - 126. Let g be v(-21). Suppose -78*z + 561 + 3183 = g. Calculate the remainder when 1/(-2)*-79*6 is divided by z.
45
Let m(b) = b**3 + b**2 + 26*b - 71. What is the remainder when 62 is divided by m(3)?
19
Let g(s) = -s. Let a(f) = -30*f**2 - f - 1. Let j(o) = -a(o) - g(o). What is the remainder when 38 is divided by j(-1)?
9
Suppose -198 = 12*i - 1494. Calculate the remainder when i is divided by 98.
10
What is the remainder when -4 + 0 + -1 + 59 is divided by (1/((-16)/(-14)) - 16/(-128))*3?
0
Let s(u) = -40*u + 3041. Calculate the remainder when s(75) is divided by 32.
9
Suppose 22*g + 16*g = 28*g. Suppose -5*w = 4*t - 407, -4*t + 2*t - 4*w + 208 = g. Suppose 0 = 4*a - 20 - 24. What is the remainder when t is divided by a?
10
Suppose 272*c - 24057 = 32791. Calculat