- 319 = 169. What is the remainder when u is divided by 6?
1
Let p = 498 + -488. Suppose 28 = v - 0*v. What is the remainder when v is divided by p?
8
Suppose 4 = y - i, -3*y - 3*i + 7 = 25. What is the remainder when 1 + 2*(-11)/(-2) is divided by y/((-76)/(-20) - 4)?
2
Let m(y) = 36*y**2 + 4*y + 2. Let z be m(-1). Suppose -z = 9*h - 142. What is the remainder when h is divided by 4?
0
What is the remainder when (-6 + 64/12)/(5/(-1410)) is divided by 60?
8
Let o(x) = -x**3 + x**2 + 7*x + 5. Suppose 0 = 5*r - 283 + 103. What is the remainder when r is divided by o(-3)?
16
Suppose -173*j + 171*j + 106 = 0. Calculate the remainder when 102 is divided by j.
49
Let r(s) = s**3 - 4*s**2 + 5*s - 1. Let d(o) be the second derivative of -o**3/3 - 6*o**2 + 3*o. Calculate the remainder when r(4) is divided by d(-11).
9
Suppose -5*g + 880 = -3*i, -34*i = -4*g - 32*i + 704. Calculate the remainder when g is divided by 90.
86
Let i(o) = o**3 - o**2 - o + 2. Let v be i(2). Suppose -j - 7 = -s, -v*s + 10 = -0*j + 2*j. Let q = 19 - s. What is the remainder when q is divided by 4?
3
Let k(p) = 4*p + 8. Let l = 36 + -29. Suppose 0 = -5*w + 25, -57 = -3*t - 3*w + 15. Calculate the remainder when k(l) is divided by t.
17
Let a(w) = -w**2 + 16*w - 13. Suppose 3*l - 8*l = -10, -255 = -5*r + 5*l. Suppose -4*n - 17 = -r. Calculate the remainder when a(8) is divided by n.
6
Let n(h) be the third derivative of -h**4/3 - 5*h**3/6 - 34*h**2. Calculate the remainder when n(-10) is divided by 4.
3
Suppose -354 = -5*v - 3*j, -140 = -2*v - j - j. Suppose -11*i + 3*i = -v. Let g(u) = 34*u**2 - u + 1. What is the remainder when g(1) is divided by i?
7
Suppose -3*p + 2*k + 388 = -0*k, p - k - 130 = 0. Suppose 3*l = p + 76. Calculate the remainder when l is divided by 35.
33
Suppose -3*y = -q - 9, 0 = 5*y - 3*q + 3 - 22. Suppose -3*w + 25 = y*j - 32, -74 = -4*w - 2*j. What is the remainder when 63 is divided by w?
12
Let p(m) = -6*m - 10. Let k(n) = -n + 2. Let u(l) = -3*k(l) + p(l). Calculate the remainder when 38 is divided by u(-8).
6
Suppose 0 = 29*i - 32*i + 30. Calculate the remainder when 99 is divided by i.
9
Let q = -417 - -590. Calculate the remainder when q is divided by 29.
28
Calculate the remainder when 23 is divided by 0/(-8 + 14) + 30/2.
8
Suppose -14*b + 348 = -12*b. What is the remainder when b is divided by 35?
34
Suppose -5*d - 55 = -5*z, 22 = 4*z - 5*d - 22. What is the remainder when 40 is divided by z?
7
Suppose 0 = c - 5*y - 68, 0 = -2*c - 0*y + 5*y + 116. Let v be ((-1)/(-2 + 1))/(2/100). Calculate the remainder when c is divided by (6 - 11 - -7)*v/4.
23
Suppose 57*x - 4063 = 5912. What is the remainder when x is divided by 46?
37
Let h(u) = u**3 + 4*u**3 + 10*u - 4*u**2 + u**2 - 6*u**3. Let k be h(-6). Let z = k - 13. What is the remainder when z is divided by 18?
17
Let c(h) = 17*h**3 - 2*h**2 + 22*h - 20. Calculate the remainder when 80 is divided by c(1).
12
Suppose -t = -5*s - 20, -2*s + 6*s = -12. Suppose -2*v + 5 = -j - 26, t*v = -5*j + 40. Calculate the remainder when -14*((-9)/2 - -2) is divided by v.
9
Suppose -22*s + 47*s - 1785 = -26*s. Let i(v) = -3*v**3 - v**2 + v - 2. Calculate the remainder when i(-3) is divided by s.
32
Suppose -2*n = 2*n + 3*h - 1, -5*n - 5*h = -5. What is the remainder when ((-8)/4)/(n/52) is divided by 9?
7
Suppose -7 = 2*s - 33. Suppose 16*p - 57 = s*p. What is the remainder when 71 is divided by p?
14
Let b(c) = -c**2 - 6*c. Let n be b(-3). Suppose 8 = -o + 2*o. Calculate the remainder when ((-6)/n)/(4/(-180)) is divided by o.
6
Let w be ((-1256)/(-3))/(-2) - (-26)/(-39). What is the remainder when 277 is divided by w/9*(-30)/20?
32
Suppose -5*g = -42 - 28. Suppose 2*a = 4*y - g, 5*y + a + 0 = 7. Suppose y*w - w - 17 = 0. What is the remainder when 48 is divided by w?
14
Let j(q) = -q**3 - 4*q**2 + q + 3. Let x be j(-4). Let i be -3*(x + 2) - -11. Suppose i*u = 378 + 326. What is the remainder when u is divided by 23?
19
What is the remainder when 49 is divided by 9 + 12 + (2 - -5)?
21
Let z be 2 - (-5 + 2)/(-3)*-1. Suppose n - 4*k + 186 = 6*n, 80 = 2*n + z*k. Calculate the remainder when 100 is divided by n.
32
Suppose 3*h - 6 = 42. Suppose 5545 + 473 = 64*d + 38*d. Calculate the remainder when d is divided by h.
11
Suppose 0*u + 28 = 5*p + 2*u, 3*u + 3 = 0. Calculate the remainder when -94*(6 + -8)/((-8)/(-2)) is divided by p.
5
Suppose -235*m + 242*m - 175 = 0. What is the remainder when 196 is divided by m?
21
Let s(d) = d**3 + 6*d**2 + d + 11. Let l be s(-6). Suppose 6*h - o - 320 = h, l*h - 4*o = 305. Calculate the remainder when h is divided by 22.
21
Let a(f) = 6*f**2 - f - 6. Suppose -4*o + 45 = o. Suppose -5*z - 3*m + o = 0, 3*m = -3*z - m + 1. Calculate the remainder when a(z) is divided by 24.
21
Suppose -16*x + 2*k = -18*x + 32, 4*x = 5*k + 19. Suppose -x*m = -16*m + 285. What is the remainder when m is divided by (-3)/6 + (-122)/(-4)?
27
Suppose 0 = -3*x - 4*m + 361, 12*x - 2*m + 240 = 14*x. Calculate the remainder when x is divided by 43.
33
Suppose 5*y - 2 = 18. Suppose -l + 2*h = -h - 12, -h - 15 = -y*l. Suppose 3*i - 5*i + 6 = 0. Calculate the remainder when l is divided by i.
0
Let m(f) = -f**3 - 11*f**2 - f - 8. Let n be m(-11). Suppose 5*y - n*y - 6 = 0. Suppose 1 = -y*d + 7. What is the remainder when 5 is divided by d?
1
Let g(c) = -5*c**2 - 25*c + 13. What is the remainder when 812 is divided by g(-3)?
38
Suppose -4*p + 0*d = 3*d, 3*p + 3*d = 0. Suppose p = -2*o + 18. Let k = 10 + -5. What is the remainder when o is divided by k?
4
Suppose -3*o - 36 = -7*o. Calculate the remainder when 60 is divided by o.
6
Calculate the remainder when 70 is divided by 104/10 + (-4)/10.
0
Suppose -4*w - 3406 = -17*w. What is the remainder when w is divided by 91?
80
Let t be (-18)/(-4)*4/6. Suppose 0 = t*k + i - 3, -2*i + 0*i - 6 = 0. Let c = 1 + 5. Calculate the remainder when c is divided by k.
0
Let y(x) = -x**3 - 11*x**2 + 9*x - 3. What is the remainder when y(-12) is divided by -1*(-1 + 68/(-4))?
15
Suppose -2*g - 8 = 2*g. Let n(t) be the second derivative of -10*t**3/3 - t**2/2 - 4*t. What is the remainder when n(g) is divided by 20?
19
Let p(t) = -t**3 - 35*t**2 - 10*t - 113. Calculate the remainder when p(-35) is divided by 11.
6
Let t = -288 - -311. Calculate the remainder when 114 is divided by t.
22
Suppose 111*h = 107*h + 72. Calculate the remainder when 45 is divided by h.
9
Let x = -12 + 15. Suppose -t + 85 = 3*n, 67 = x*n + 4*t - 21. Calculate the remainder when 1196/n + 10/35 is divided by 9.
7
Let w(v) = 2*v**2 + 11*v - 71. Calculate the remainder when w(-13) is divided by 22.
14
Let y = 2 + 1. What is the remainder when (-11)/((-33)/9) - 15/(-3) is divided by y?
2
Suppose 0 = 2*i - 7*i + 105. Calculate the remainder when 67 is divided by i.
4
Suppose 44*h - 8400 = -26*h. Calculate the remainder when 127 is divided by h.
7
Let a(n) = -n**2 + 18*n - 3. Let t be a(16). Let s = -14 + t. Calculate the remainder when ((-258)/s)/(8/(-20)) is divided by 11.
10
Let o = -211 + 214. Let t(n) = n**3 - 3*n**2 - 6*n + 2. Let w be t(4). Let p = -4 - w. Calculate the remainder when o is divided by p.
1
Let u = -5 - 5. Let k = u + 14. Calculate the remainder when 6 is divided by k.
2
Suppose 38*m - 40*m + 188 = 0. What is the remainder when m is divided by 33?
28
Let f = -6 - -33. Suppose -r + f + 14 = 3*a, -2*a = 0. Calculate the remainder when r is divided by 21.
20
Let z(f) = -13*f - 2. Let c(g) = -g**3 + g**2 + 5*g. Let d be c(-4). Let q = d - 15. What is the remainder when q is divided by z(-2)?
21
Let m = -161 + 184. What is the remainder when 148 is divided by m?
10
Suppose -4*a - 4*r - 12 = 0, -a + 2*r + 1 = -r. Let q(c) = -7*c**3 + 2*c**2 + 2*c + 3. Let z = -36 - -47. Calculate the remainder when q(a) is divided by z.
8
Let t = -818 + 822. What is the remainder when 32 is divided by t?
0
Suppose -8 = -4*r - 2*t, -11 = -4*r + 2*t + 5. Suppose s - 112 = -r*s. What is the remainder when (-2870)/s*6/(-5) is divided by 31?
30
Let d(v) = 2*v**2 + 50. Let w(c) = c. Let s(u) = u - 3. Let m(n) = s(n) + 4*w(n). Calculate the remainder when d(0) is divided by m(4).
16
Suppose 442*i - 6940 = 438*i. What is the remainder when i is divided by 37?
33
Let j(h) = -h**2 + 25*h + 251. Let b(s) = s - 8*s + 1 - 6*s