s divided by w.
3
What is the remainder when (120494/(-16))/(-11) + 30/80 is divided by 8?
5
Let t = 70 + -66. Suppose 0 = -t*i - 16, -5*f + 155 = -9*i + 4*i. Suppose 2*u + 3*s - 145 = 0, u - s = -2*u + 245. What is the remainder when u is divided by f?
26
Let x be ((-20)/8 - -1)*2. Let s be ((-108)/42)/(x/21). Calculate the remainder when ((-9)/s)/((-2)/188) is divided by 12.
11
Let c = -50 - -154. What is the remainder when c is divided by 5 + 0 - ((-1)/(-6) - 578/12)?
51
Suppose -111 = -2*p - 6*z + z, 5*z = -p + 53. What is the remainder when p is divided by (6*3)/(3/2)?
10
Let o(h) = 15*h - 2. Let q(n) be the second derivative of n**5/20 - n**3/6 + n**2/2 + 5*n. Let t be q(0). What is the remainder when 36 is divided by o(t)?
10
Suppose -g = -4*g + 15. Suppose -g*u + 25 = 0, -7 = -4*i - u + 2*u. Suppose -2*j + 7 = t - 4, 4*t = i*j + 55. What is the remainder when 36 is divided by t?
10
Let t = -460 + 499. What is the remainder when (-16)/(21/(-19) - -1) is divided by t?
35
Suppose -2 = -h + 2*c, -3*h - 3*c - 2 = 1. Suppose h = 5*r - 4*r - 22. Suppose -5*n + 8 = -r. What is the remainder when 21 is divided by n?
3
Let b = -462 - -499. Calculate the remainder when 56 is divided by b.
19
Calculate the remainder when 29 is divided by 24/(-15*7/(-70)).
13
Let f(m) be the third derivative of -m**5/60 + 13*m**4/24 + 3*m**3 - 9*m**2. Let w = 66 + -45. What is the remainder when f(11) is divided by w?
19
Let r = -73 - -112. Suppose -5*l + r = -36. Calculate the remainder when 43 is divided by l.
13
Suppose 0 = -u + w + 1, 9 = 5*u - 0*u - w. Suppose 198 = u*q - 0*q. Let p = q - 62. What is the remainder when p is divided by 13?
11
Let m(y) = -4*y + 4*y**2 - 19 + 5*y**2 - 16*y**2 + y**3. What is the remainder when 76 is divided by m(8)?
11
Suppose -5*r + x = 3*x - 96, 0 = 5*r + 3*x - 94. Let o = 26 + -15. Calculate the remainder when o is divided by 155/r - (-6)/(-8).
4
Suppose 5*k + 102 = -518. Let o = -77 - k. Suppose 0 = -103*h + 111*h - 192. What is the remainder when o is divided by h?
23
Let w = -7 - -28. Suppose q = -7 + w. Suppose 0 = -q*a + 17*a - 285. What is the remainder when a is divided by 24?
23
Let g be 6*((-14)/(-4) + -3). Suppose 4*s - g*s + 5 = 0. Let j = s + 15. Calculate the remainder when j is divided by 6.
4
Let f(l) = -2*l + 22. Let t be (-98)/8 - (76/16 + -5). What is the remainder when f(t) is divided by 12?
10
Suppose -d - 71 = -2*u + 52, -2*u + 5*d + 111 = 0. What is the remainder when u is divided by 40?
23
Let j(w) = 9*w - 16*w - 11 + 12*w. Let g be j(-5). Let x = g - -73. What is the remainder when x is divided by 10?
7
Suppose -3*b = 5 + 4. Let c = 72 + b. What is the remainder when c is divided by 14?
13
Let k = -20 - -70. Suppose u - k = -5*w + 6*u, 20 = -w - 5*u. What is the remainder when w is divided by 4?
1
Calculate the remainder when ((-493)/(-34))/(1/2) is divided by 5.
4
Let d = 48 + -31. Let h = -17 + 19. Suppose -y + h = -4. Calculate the remainder when d is divided by y.
5
Let w = 29 - 12. Let r = 11 - 9. Suppose -r*q + q = -6. Calculate the remainder when w is divided by q.
5
Let s(g) = g**2 - 2 - 4*g**3 + g**3 - 2*g**2. Suppose l - 2*k - 9 = 0, 7 = -4*l - 3*k + 21. What is the remainder when s(-2) is divided by l?
3
Let q = -317 - -340. Calculate the remainder when 77 is divided by q.
8
Let u = 72 + -31. Calculate the remainder when u is divided by (-44 - 19)*(-2)/6.
20
Calculate the remainder when ((-14)/91 - (-2838)/26)/1 is divided by 11.
10
Let y = 172 + -102. Calculate the remainder when (y/(-5))/(2/(-3)) is divided by 11.
10
Let d(n) be the first derivative of n**3/3 + 2*n**2 - 11*n + 1. Calculate the remainder when d(-8) is divided by 11.
10
Suppose 20*k - 51 = 17*k. What is the remainder when 169 is divided by k?
16
Let g = -14 + 19. Let c(b) = 2*b - 8. Let i be c(g). Suppose -i*j = 1 - 5. What is the remainder when 9 is divided by j?
1
Let p be (1 - 394/10) + 4/10. Let b = p - -72. Suppose m = -2*n - 2*m + 30, 0 = 4*n - 2*m - 44. What is the remainder when b is divided by n?
10
Let s(w) = w**2 - w + 46. Let g be s(0). Suppose -l = l - g. Let c = -6 + l. Calculate the remainder when 48 is divided by c.
14
Let u = -1065 - -1103. What is the remainder when 124 is divided by u?
10
Let z = 712 + -394. Calculate the remainder when z is divided by 23.
19
Let b = 56 - -2. Let m = b + -28. What is the remainder when m is divided by 11?
8
Suppose 0 = -2*l + 2*t - 248, 3*l + 2*t = -2*t - 344. Let j = -69 - l. Calculate the remainder when j is divided by 26.
25
Let q = 897 - 469. Suppose q = 3*l - l. What is the remainder when l is divided by 27?
25
Let r(n) = -n**2 + 6*n. Calculate the remainder when (-36)/(-7) + (2700/(-126))/(-25) - -10 is divided by r(3).
7
Suppose s - 1 = 2. Let t = s + 0. Suppose -n - 5*b = 2*n + t, -5 = -5*n - 5*b. What is the remainder when 11 is divided by n?
3
Calculate the remainder when 280/(-30)*324/(-16) is divided by 6.
3
Let i be 8/12 + 4 + 2548/12. Suppose -i = -33*d + 26*d. Calculate the remainder when d is divided by 11.
9
Suppose 0 = t - 6*t + 25. Suppose -2*k - t = -21. Calculate the remainder when 28 is divided by k.
4
Let v = -384 - -551. Calculate the remainder when v is divided by 5.
2
Suppose 15*y = 13*y - 2*w + 26, -3*y - 5*w + 49 = 0. What is the remainder when 68 is divided by y?
4
Let n(d) = -d - 2. Let b be n(-8). Suppose b*l = l + 5. Calculate the remainder when 37 is divided by (-304)/(-80)*l*5.
18
Let a(r) = 32*r**2 - 7*r + 5. What is the remainder when a(-4) is divided by 21?
20
Suppose -5*p + 50 + 50 = 0. Calculate the remainder when 23 is divided by p.
3
Let j = -238 + 378. What is the remainder when j is divided by 24?
20
Let y(m) = 3*m**2 + 17*m - 10. Let b(a) = 2*a**2 + 16*a - 10. Let q(x) = -4*b(x) + 3*y(x). Calculate the remainder when 213 is divided by q(14).
21
Let i(z) = -z**2 - 9*z + 3. Let b be i(-9). Suppose -2*r - 3*r + 55 = 0. Suppose -r = -b*q + 13. Calculate the remainder when 31 is divided by q.
7
Suppose 2 = o - 5. Suppose -o*h = -2*h + 4*g - 49, 3*g = -h + 12. Suppose 5*x = x + 100. Calculate the remainder when x is divided by h.
7
Let u(j) = 17*j - 13. Let g be u(-6). Let f = g + 120. Let a(n) = n**3 - 6*n**2 + 7*n - 1. Calculate the remainder when a(5) is divided by f.
4
Let o(b) = b**3 - 6*b**2 - 3. Let i = 49 + -42. What is the remainder when o(i) is divided by 16?
14
Suppose 0 = 3*x - 5*k + 182, 6*x + 172 = 3*x - 5*k. Let m = x + 68. What is the remainder when 34 is divided by m?
7
Let m be (1*-2)/(24/(-12)). Let a be -1 + (0 - m) + 4. Calculate the remainder when 150 is divided by -4 + (3 - a) + 41.
36
Suppose 855 = 6*t + 9. Calculate the remainder when t is divided by 29.
25
Let b = 22 - 2. What is the remainder when 2 - ((-4)/(-6) + (-1344)/18) is divided by b?
16
Let h be 26/6 - (-2)/(-6). Suppose l - 3*l + w = -80, -w = h*l - 160. Calculate the remainder when l is divided by 15.
10
Let s(c) = -c + 5. Let x be s(2). Suppose -4*m = -5*g + 15, 3*g - g - x*m + 1 = 0. Let z = 17 + -15. Calculate the remainder when g is divided by z.
1
Let n = 64 + -69. What is the remainder when (-1)/(((-20)/(-28))/n) is divided by 5?
2
Suppose 160 = 3*w - 5*a, -88 = -4*w - 4*a + 72. Let f = -6 + 11. Suppose w = 3*y - f*h - 64, -3*h - 15 = 0. What is the remainder when y is divided by 15?
13
Suppose 5*h + 80 = -4*u, -8*h = -6*h - 8. Let k = 28 + u. Suppose 2*w - 20 = -2*w. What is the remainder when w is divided by k?
2
Suppose 0*z = -9*z + 342. Calculate the remainder when 141 is divided by z.
27
Let u(t) = 3*t**2 + 9*t - 278. What is the remainder when u(-21) is divided by 11?
9
Suppose -16*a - 32 + 496 = 0. What is the remainder when a is divided by 8?
5
Let v(g) = 27*g**2 + g + 25*g**3 - 29*g**2 + 5*g**3. Suppose 2 = -3*x + 5. Calculate the remainder when v(x) is divided by 10.
9
Let u = 427 - 357. What is the remainder when u is divided by 7?
0
Calculate the remainder when 57 is divided by (1 + 11)*(910/(-56))/(-5).
18
Suppose -o = 3*t - 27, o - 4*t - 97 = -4*o. What is the remainder when 78 is divided by o?
15
Suppose -38 - 24 = -2*m. Suppose -4*o + 4*p + 103 = 15, 2*p = -o + m. Suppose 4*d = 5*v + 32, -5*v = d - 6*d + 45. What is the remainder when o is divided by d?
12
Let k = -1945 + 2761. What is the remainder when k is divided by 82