3
Suppose m - 1 = 0, 4*h - 2*h - 4*m = 706. What is the remainder when h is divided by 18?
13
Suppose -4 = 214*s - 215*s. Calculate the remainder when 97 is divided by s.
1
Suppose s - 9 = -2*s. What is the remainder when (-29 - -22)/(-2 + -1 + 2) is divided by s?
1
Suppose 0 = -2*d, 3*d + 198 = 3*l + 2*d. Suppose -2*f + 4*u + 44 = 0, 3*u - 6*u = 3*f - l. Let p = 0 + 6. Calculate the remainder when f is divided by p.
4
Let h(a) = -a**3 + 2*a + 8. Let s be h(-4). Suppose 0 = 3*r - 5 - s. Calculate the remainder when r is divided by 7.
2
Let b(c) = c**2 - 33*c + 132. Calculate the remainder when 255 is divided by b(31).
45
Suppose -2*l = -97 - 49. What is the remainder when l is divided by 11?
7
Let o = -413 - -437. Calculate the remainder when 135 is divided by o.
15
Suppose 3*t - j = 124 + 16, 0 = t + 5*j - 52. What is the remainder when 140 is divided by t?
46
Let y be 7 - (7 - (-6)/(-2)). Suppose 2*f - 11 = -5*b + 112, 0 = y*f + 5*b - 177. Calculate the remainder when f is divided by 19.
16
Let k(s) = 40 - 2*s**3 - s - s - 41 - s**3. Suppose -4*w + w = 3. What is the remainder when 4 is divided by k(w)?
0
Let k(d) = -7*d + 10. Let v = 106 - 107. What is the remainder when 32 is divided by k(v)?
15
Let j = -4223 - -4228. Let h(n) = 3*n - 3. Let b(l) = 12*l - 12. Let s(k) = 2*b(k) - 9*h(k). What is the remainder when s(-7) is divided by j?
4
Let x(y) = -y - 6. Let m be x(-5). Suppose -3*k = -4*k + 17. What is the remainder when k is divided by (-2)/(m/((-9)/(-2)))?
8
Suppose 174 = -7*k + 9*k + 2*x, 186 = 2*k + 4*x. Suppose -r + 9 = -12. Calculate the remainder when k is divided by r.
18
Let c(z) = -z**3 - 4*z**2 + 8*z + 4. What is the remainder when c(-7) is divided by (-222)/(-12 - -6) + -12?
20
Suppose -6463 = -38*s + 2885. What is the remainder when s is divided by 52?
38
Let z = 26 - 22. Suppose 2*b - z*f = 18, -f + 35 = 2*b - 3. Suppose b + 4 = j. Calculate the remainder when 39 is divided by j.
18
Let w(s) = 253*s**3 - 4*s**2 + 3*s. Let u be w(1). Suppose -9*t + 11*t = u. Calculate the remainder when t is divided by 32.
30
Let k(u) = -3*u**3 - 2*u + 1. Suppose -4*q - 1 + 5 = 0. Suppose 4*j + 9 = q. Calculate the remainder when k(j) is divided by 15.
14
Let f = -416 - -514. Calculate the remainder when f is divided by 25.
23
Suppose 3*i = -2*i + 70. Suppose -2*m + 12 = -3*h - 11, -m - h + 24 = 0. Calculate the remainder when m is divided by i.
5
Suppose 0 = 2*x + 3*x - 10. Suppose 0 = -2*s - 4*i + 6, x*s - 3*i = s + 18. Let f(m) = 3*m**2 + 7*m - 4. Calculate the remainder when f(-4) is divided by s.
7
Let g(u) = -2*u**3 - 49*u**2 + 13*u + 34. What is the remainder when g(-25) is divided by 18?
10
Let m(d) = 4*d**2 - 14*d + 178. Calculate the remainder when m(9) is divided by 64.
56
Suppose -5*c = j - 93, -4*c + 11*j - 9*j = -80. What is the remainder when 109 is divided by c?
14
Let x = 646 + -645. What is the remainder when 1 is divided by x?
0
Let a(u) = 6*u - 11. Let w be a(2). Suppose -g - 5*r - 11 = 0, -4 - 20 = -3*g + 4*r. What is the remainder when (1 - 1*-8) + (2 - w) is divided by g?
2
Suppose -3*c + 144 = o, -o = -4*c + 3*o + 192. Calculate the remainder when 237 is divided by c.
45
Suppose 5*r - 23 = -173. Calculate the remainder when (r/20)/((-6)/112) is divided by 15.
13
Let u(f) = f**2 + 9*f + 4. Let n be u(5). Suppose 3*y - n = 4*c, 2*c + 64 = 2*y + 3*c. Let s = -2 + 18. What is the remainder when y is divided by s?
14
Let y(w) = -w. Let u be y(0). Suppose u*v - 3*v - g + 6 = 0, 0 = -5*v + 5*g + 30. Suppose v*p - 33 = -0. Calculate the remainder when 19 is divided by p.
8
Let b(l) = l**2 - 17*l - 158. Let y = 145 + -98. What is the remainder when y is divided by b(24)?
7
Let d(t) = 7*t**3 - t**2 + 2*t - 3. Let c = 907 - 861. What is the remainder when d(3) is divided by c?
45
Let u = 878 + -857. Let m = 8 - 2. Calculate the remainder when u is divided by m.
3
Suppose -4*q + 11 = 3*p, 4*q + 5*p - 23 = -10. Suppose 5*x = -q*w + 8, 0*w + w + 2*x = 6. Calculate the remainder when 54 is divided by w.
12
Suppose -4*a - 11 = 9. Let w(t) = -t**3 - 4*t**2 + t + 5. What is the remainder when w(a) is divided by 13?
12
Let o(r) = 17*r. Let b be o(2). Suppose 0 = -2*t - 5*u + b, -t + 4*u = -4 - 26. Let s = 40 - 28. What is the remainder when t is divided by s?
10
Suppose -3*h - 4*v + 54 = 0, 23*v + 3 = 24*v. Calculate the remainder when 236 is divided by h.
12
Let h = 16 + -6. Let a be (-34)/(-3) - h/(-15). Suppose -9*c + a*c - 75 = 0. Calculate the remainder when 99 is divided by c.
24
Let r = 1007 - 997. Let k(x) = -13*x + 1. Calculate the remainder when k(-2) is divided by r.
7
Let i = 38 - 33. Suppose -3*u = -62 + i. What is the remainder when 32 is divided by u?
13
Let v = -117 - -1. Let k = v + 120. Calculate the remainder when 17 is divided by k.
1
Let m be 1 + (-3)/3 + 0. Let j(z) = -z + 24. Let p(g) = 23*g + 2. What is the remainder when p(4) is divided by j(m)?
22
Suppose 0 = 92*p - 98*p + 258. What is the remainder when p is divided by 17?
9
Let i = 1030 + -1018. Suppose p = -0 + 7. What is the remainder when i is divided by p?
5
Let c(k) = -8*k - 22. Let t be (0 - 6) + 24/12. Calculate the remainder when 16 is divided by c(t).
6
Suppose 4*d = 1 + 11. Let g = d + 10. Calculate the remainder when 51 is divided by g.
12
Suppose b - 3*u = 23, 0 = 2*b + 3*b - u - 185. What is the remainder when 223 is divided by b?
33
Let s = -144 + 186. What is the remainder when 245 is divided by s?
35
Suppose s - 13*s + 1116 = 0. Let t = s + -26. What is the remainder when t is divided by 24?
19
Let f = 135 + -66. Suppose f = w - 4*g, -g - g = w - 69. Calculate the remainder when w is divided by 12.
9
Calculate the remainder when (-7126)/(-56) + 1/(-4) is divided by 27.
19
Calculate the remainder when 135 is divided by 2/((-8)/(-20))*4.
15
Suppose 2 = 2*k - 4. Let t(u) = 1 + 14*u**2 - u**2 - 10*u**2 + 2*u. Calculate the remainder when t(k) is divided by 18.
16
Suppose 0 = 3*c - a - 45, -2*c + 30 = a + 2*a. Suppose -5*g = -0*g - c. Suppose -4*l + 14 = -22. Calculate the remainder when l is divided by g.
0
Let a = 2055 + -2050. Suppose -17 = 2*d - n + 74, -3*d - 133 = 2*n. Calculate the remainder when a is divided by 1/4 + d/(-12).
1
Let t be (-9)/36 + (-23)/4. Let l(a) = a**3 + 6*a**2 - 7*a - 14. Let z be l(t). Suppose -6*b - z = -7*b. What is the remainder when b is divided by 10?
8
Let b = -86 - -90. Suppose -891 = -13*z + b*z. Suppose -4*q - 75 = -7*q. What is the remainder when z is divided by q?
24
Suppose 0 = -x + 48 + 1. What is the remainder when x is divided by 3 - (13 - -4)/(-1)?
9
Suppose 0 = 4*w + 11*v - 9*v - 232, 3*v - 177 = -3*w. Calculate the remainder when w is divided by 34.
23
Let k(g) be the third derivative of -1/120*g**6 + 5/24*g**4 - 1/2*g**3 + 0 + 0*g - g**2 + 1/12*g**5. Calculate the remainder when k(5) is divided by 12.
10
Calculate the remainder when 236 is divided by 5 + 8 - 4 - -1.
6
Suppose -8*h - 18 = -626. Suppose h = -o + 249. Calculate the remainder when o is divided by 44.
41
Suppose 265 = 8*t - 3*t. What is the remainder when 101 is divided by t?
48
Let u = 1292 - 1275. What is the remainder when 152 is divided by u?
16
Suppose 6*t + 2*t = 8. Suppose -3*g = t - 16, -2*h + 93 = 5*g. Calculate the remainder when h is divided by 22.
12
Calculate the remainder when 13 is divided by ((-76)/152)/((-2)/8).
1
Let g = 3 - -101. What is the remainder when g is divided by 34?
2
Suppose 0 = -11*k + 288 + 262. Let z = -44 + k. What is the remainder when 35 is divided by z?
5
Suppose 9 + 0 = -3*r. Suppose 1 + 5 = 3*c. What is the remainder when (-42)/28*8/r is divided by c?
0
Suppose 28 = 4*k - 152. Calculate the remainder when k is divided by (-3525)/200 + 26 + 6/(-16).
5
Let g(q) = -14*q - 73. What is the remainder when g(-13) is divided by 19?
14
Let f = -48 - -78. What is the remainder when 146 is divided by f?
26
Suppose -5*x + 2*g + 72 = 0, 0 = -6*x + 4*x + 3*g + 31. Let j(l) = -l**3 + 6*l**2 + 10*l - 3. Calculate the remainder when j(7) is divided by x.
4
Suppose -13529 + 14705 = 28*s. Let q = 5 + 11. Calculate the remainder when s is divided by q.
10
Suppose -u + 205 = 4*u. What is the remainder when (27/(-2))/((-1)/6) is divided by u?
40
Let f(q) = 8*q - 1. Let p be f(9). Suppose -p - 16 = -3*x. Calculate the