 - 0. Calculate the remainder when 17 is divided by a.
2
Suppose 355 = -15*s + 20*s. Let d(j) be the second derivative of j**3/3 + 4*j**2 - 8*j. What is the remainder when s is divided by d(5)?
17
Suppose -5*c + 3*b + 13 = 0, -4*c + 0*c + b = -16. Suppose -6*g - 17 = -3*q - c*g, -g - 5 = -q. Calculate the remainder when 100 is divided by q.
4
Suppose 2*g + 34 = 2*d - 18, d + 3*g = 18. Calculate the remainder when 1/(4/664) - -1 is divided by d.
23
What is the remainder when 39 is divided by (-17 - -2)*(-4)/12 + 15?
19
Let b be 39 + (-3)/21 + (-5)/(-35). Let m = b - 23. What is the remainder when 62 is divided by m?
14
Let l = 13 - 8. Let m(i) = i - 14. Let t be m(l). Let u = 35 + t. Calculate the remainder when u is divided by 7.
5
Suppose -2*g + 3*a = -14, -6*a = 5*g - 3*a - 56. Calculate the remainder when 36 is divided by g.
6
Let p = -2467 + 3012. Calculate the remainder when p is divided by 91.
90
Suppose -5*g + 91 = 15*t - 13*t, 10 = -2*g. Calculate the remainder when 751 is divided by t.
55
Let w = -3 + 1. What is the remainder when ((-72)/10)/((-4)/10) is divided by -2*(3/w - 2)?
4
Let k(c) = -5*c + 51. What is the remainder when k(-24) is divided by 29?
26
Suppose 0 = 8*v - 6*v - 48. Let d(t) = -4*t - 12. Calculate the remainder when v is divided by d(-8).
4
Suppose -7*k + 2130 = 3*k. What is the remainder when k is divided by 36?
33
Let m = 5943 - 5923. What is the remainder when 31 - (-1)/2*2 is divided by m?
12
Suppose q + q = 138. Suppose 24*h = 14*h. Suppose 3*y - 52 = -y - 5*s, 4*y - 4*s - 88 = h. Calculate the remainder when q is divided by y.
15
Suppose w + 3*g = 65, 1 = 3*g - 5. Let l = 136 + w. Calculate the remainder when l is divided by 49.
48
Suppose 2*y + 3*y - 3*f = 274, 0 = y + 3*f - 62. What is the remainder when y is divided by 26?
4
Let a = 49 + -46. Suppose -a*i + 27 = i - q, -5*q + 33 = i. Calculate the remainder when 25 is divided by i.
1
Let f(a) = a**3 + 9*a**2 - 10*a + 4. Let g be f(-10). Let d(w) = g - 4 + 2*w + 0 - 3. Calculate the remainder when 7 is divided by d(4).
2
Let h = 17 - 13. Let i = h + 12. What is the remainder when 62 is divided by i?
14
Suppose -4*t + 214 + 210 = 0. Suppose -73 = -2*f - 3*x, -6*f + 2*f + 2*x + t = 0. Calculate the remainder when f is divided by -15*(-16)/8*3/9.
9
What is the remainder when 197 is divided by (3 - (3 - 5)) + -2 + 22?
22
Let p = -511 + 563. Suppose 5*w = 25 + 65. Calculate the remainder when p is divided by w.
16
Let x(m) = -3*m**2 + 28*m + 36. Calculate the remainder when 114 is divided by x(10).
2
Let m = 60 + -36. What is the remainder when 2*(4 - (-4 + (-303)/6)) is divided by m?
21
Let l(f) = -f**2 - 21*f + 15. Let i be l(-22). Suppose 8 = 2*z - 5*y - 5, -y - 25 = -2*z. Let b = z + i. Calculate the remainder when b is divided by 2.
1
Let l = -120 + 124. Suppose -2*g + 16 = -3*g. Let i = g - -29. What is the remainder when i is divided by l?
1
Let c = -176 + 420. What is the remainder when c is divided by 68?
40
Let x be 11/(5 + 252/(-51)). Suppose 0 = w + 5*h - x, 231 = w - 3*h + 28. Calculate the remainder when w is divided by 40.
37
Let v(c) = 3 - c**3 + 5*c**2 - 6*c + 0*c**2 + 2*c**3. Let y be v(-6). Suppose -3*z - y = -12. What is the remainder when z is divided by 2?
1
Suppose -5*u + 3*p = -621, 10*u = 5*u - 4*p + 607. What is the remainder when u is divided by 42?
39
Let f(v) = 5*v**2 - 2*v - 13. Let p(h) = -2*h + 10. Let a be p(8). Calculate the remainder when f(a) is divided by 20.
19
Suppose -120 = -20*c + 14*c. Let h(u) = -16*u - 5. Suppose 3*z - p = -9 - 7, -20 = -5*p. Calculate the remainder when h(z) is divided by c.
19
Suppose 166 = 2*c + 46. What is the remainder when c is divided by 34?
26
Suppose 5*p + 52 = 2*v, -p + 28 + 48 = 5*v. Calculate the remainder when 2 + -5 - (868/(-5) - (-721)/(-515)) is divided by v.
12
Let q(h) = 4*h**3. Let g be q(1). Suppose 5*j = -2*m + 6*m - 24, 0 = -3*m + g*j + 17. Calculate the remainder when 30 is divided by m.
8
Let b = 7 - 4. Suppose 0*n + 3*c = n - 11, 2*n - c = 42. What is the remainder when n is divided by (-8)/(-12) - (-22)/b?
7
Suppose -2*r + 99 = -17. Suppose 16*k - 7*k - 180 = 0. Calculate the remainder when r is divided by k.
18
Let g(b) be the third derivative of -b**4/24 + 11*b**3/6 - b**2. What is the remainder when 12 is divided by g(7)?
0
Suppose -4*w - r + 857 = 0, 832 = 46*w - 42*w - 4*r. What is the remainder when w is divided by 36?
33
Let r(s) = -s. Let x(v) = -11*v - 7. Calculate the remainder when r(-5) is divided by x(-1).
1
Suppose -7*v = -6*v + 6. What is the remainder when 149 is divided by (-15)/(-1 - 0)*(-10)/v?
24
Suppose 8*v = 53 - 13. Calculate the remainder when 23 is divided by (-1)/(v/(-5)) + 7.
7
Let k(x) = 49*x**2 - x - 2. Let a be k(-1). Suppose 60 = 3*q + q + 4*n, -4*q + 2*n + a = 0. Let m = 46 - 21. Calculate the remainder when m is divided by q.
12
Suppose -27 = -r - 8. Let s be 4/34 + 6144/(-204). What is the remainder when r is divided by (-32)/84*s - 6/14?
8
Let k = -55 + 59. Suppose k*l - 17 = 59. Suppose -4*y + 51 = -97. What is the remainder when y is divided by l?
18
Suppose 5*s = s + 80. What is the remainder when 64 is divided by 34/8*(s + -16)?
13
Suppose 4542*w = 4540*w + 234. What is the remainder when 341 is divided by w?
107
Let f = 5 + 8. Let h(q) = q**2 + 13*q + 27. Let j be h(-16). Suppose -6*n = -j + 57. Calculate the remainder when f is divided by n.
1
Let j(n) = -19*n**3 - n - 1. Let z(r) = 21*r**2 + 4*r - 2. Suppose 2*s = 4*l + 4, 3*s = -0*s + 4*l + 2. What is the remainder when z(s) is divided by j(-1)?
17
Suppose 0 = -j - j + 56. Let o = -25 + j. Suppose o*h = h + 22. Calculate the remainder when h is divided by 4.
3
Let i = 11 - 3. What is the remainder when (81/(-3))/(-1*4/i) is divided by 29?
25
Suppose 7 = 2*i - 7. Suppose 2*h + 10 - 30 = 0. Calculate the remainder when h is divided by i.
3
Let u(h) = -h**3 + 6*h**2 - 2*h + 3. Let q be u(6). Let m(z) = z**3 + 9*z**2 - 5*z + 7. Calculate the remainder when m(q) is divided by 70/4 + 2/4.
16
What is the remainder when 94 is divided by (-2 + (-52)/(-20))/((-1)/(-5))?
1
Suppose -48*d + 21*d = -3996. Calculate the remainder when d is divided by 15.
13
Let t be (-1)/(-6)*(-324)/(-18). Suppose t*b - 3 = -12, 5*b + 111 = 2*f. What is the remainder when f is divided by 5?
3
Let l = 673 - 600. Calculate the remainder when l is divided by 24.
1
Let u(p) = -p**2 - 18*p - 13. Let x be u(-17). Suppose -2*n + 8 = x*k, 0 = 3*n - 0*k + 2*k - 16. What is the remainder when 21 is divided by n?
3
Suppose -10*l + 181 = 61. Calculate the remainder when 36 is divided by l.
0
Let f(r) = -106*r - 605. Let s = 18 + -13. Calculate the remainder when f(-6) is divided by (-183)/(-15) - 1/s.
7
Let t = -427 + 452. Suppose -2 = -g + 2*g. Calculate the remainder when t is divided by (0 - g/2)*7.
4
Suppose 23*g - 24*g + 11 = 0. Calculate the remainder when 92 is divided by g.
4
Suppose 4*k - 5*s + 4 = 3, 5*k + 4*s = 50. Suppose k*u - 13*u + 98 = 0. Calculate the remainder when 50 is divided by u.
8
Suppose 50 = p - 2*i - 3*i, -2*p = i - 122. Suppose -m - 12 = 3*m, p = -z - 4*m. Let a = 69 + z. Calculate the remainder when 62 is divided by a.
20
Let c(s) = -136*s - 2294. Let v = -60 - -88. What is the remainder when v is divided by c(-17)?
10
Suppose -115*u = -111*u - 132. What is the remainder when 461 is divided by u?
32
What is the remainder when (-6 + 7)/(3/(388 + -1)) is divided by (-131)/(-3) + (-1)/(-3)?
41
Let g(c) = -c**3 + 18*c**2 + 7*c + 14. Let p be g(18). Suppose -3*b + 13*b - p = 0. Calculate the remainder when 67 is divided by b.
11
Let g be ((-48)/(-28))/((-4)/(-322)). Suppose 2*j + 38 = g. Calculate the remainder when j is divided by 17.
16
Calculate the remainder when (-5 + (-16)/(-2))*-1 + 33 is divided by 16.
14
Calculate the remainder when 25 is divided by (-1)/(50/(-92) - 2/(-4)).
2
Suppose 17*l = 9*l + 32. Suppose l*f + 21 = u + 87, -5*f - u = -87. Calculate the remainder when f is divided by 10.
7
Let z be -26 - (1 - (-35)/(-5)). Let v = 64 + -37. Let x = v + z. What is the remainder when 47 is divided by x?
5
Let a = -125 + 212. What is the remainder when a is divided by 57?
30
Suppose 3*m - 2*n = 149, 3*m + n - 179 = -3*n. Let p(i) = i - 4. Calculate the remainder when m is divided by p(18).
11