 by f?
3
Let j be (-1492)/(-22) - 4/(-22). Suppose -10*u = -92 - j. Calculate the remainder when 94 is divided by u.
14
Suppose 340 = 4*v + 32. Suppose 0 = -4*s - 1 + v. Calculate the remainder when s is divided by 5/3*(-189)/(-45).
5
Let r be (-8)/(-14)*(-742)/(-4). What is the remainder when r/((0 - 1)*-2) is divided by 11?
9
Suppose 4*o + 7 = -1. Let p(v) = -3*v + 4*v**2 + 3 - 3 + 1 - 4. What is the remainder when 54 is divided by p(o)?
16
Let h be 143/(-4) + (-3)/12. Calculate the remainder when 20 - 19 - 3*-2 is divided by ((-2)/(-3))/((-8)/h).
1
Suppose 0 = -31*y + 28*y - c + 276, 4*y = 4*c + 352. What is the remainder when 350 is divided by y?
77
Suppose 318 - 45 = 7*b. What is the remainder when 148 is divided by b?
31
Calculate the remainder when 122 is divided by (-6230)/(-350) - 2*1/(-10).
14
Let w = 5 + 27. Suppose 0 = -2*r - w + 36. Calculate the remainder when 6 is divided by r.
0
Let x(z) = -51*z + 568. What is the remainder when x(0) is divided by 30?
28
Let s(h) = 2*h - 62. Let f(y) = y**3 - 6*y**2 + 5*y - 1. Let j be f(5). What is the remainder when (-2)/j - (-25)/1 is divided by s(38)?
13
Let w = -5 + 3. Let p be (-20)/4 + (-4)/w. What is the remainder when 20 is divided by 9 - -2*(2 + p)?
6
Suppose 20 = 2*w + 16. Suppose -o + 9 = s - 0*s, 0 = -w*s + o + 6. Let p(d) = -d**3 - 5*d**2 - 6*d - 1. Calculate the remainder when p(-4) is divided by s.
2
Let o = 11 + 12. Let k = 6 - 8. Calculate the remainder when (4/2)/(k/(-44)) is divided by o.
21
Suppose 3*l = o + l + 2, 3*o + 3*l + 24 = 0. Let h = o - -13. Calculate the remainder when 18 is divided by h.
4
Suppose 6*l - 169 = 5*l - 2*u, -l = u - 164. What is the remainder when l is divided by 10?
9
Let p(w) = w**2 + w. Let r be p(-4). Suppose -k = -15 - r. Calculate the remainder when 1700/16 + 4/(-16) is divided by k.
25
Calculate the remainder when 2*((-413)/(-14) - 6) is divided by 34.
13
Let j = 170 + -81. What is the remainder when j is divided by 5?
4
Let w(h) = -2*h**3 - 12*h**2 - 3*h - 1. What is the remainder when w(-7) is divided by 6?
4
Let x = 13 + 0. Let z = -4 + x. Calculate the remainder when z is divided by 2/4 + (-54)/(-12).
4
Suppose 0 = 6*t - 38 - 94. Calculate the remainder when 131 is divided by t.
21
Let s(w) be the first derivative of w**4/4 + 4*w**3/3 - w**2 - 6*w - 1. Let h be s(-4). Suppose -k - 5 = -h*k. Calculate the remainder when 13 is divided by k.
3
Let t(g) = 7*g - 225. Calculate the remainder when 77 is divided by t(36).
23
Let y be 9/((-4)/(-20) - 26/(-20)). Suppose 0 = y*a - 3*a - 60. Let l(p) = p**3 - 9*p**2 + 10*p - 9. Calculate the remainder when a is divided by l(8).
6
What is the remainder when 12 - 14 - (2 - (1 + 130)) is divided by 32?
31
Suppose 4*m + n - 653 = 0, -3*m = -n - 2*n - 501. What is the remainder when m is divided by 13?
8
Suppose -a - 3*a + 320 = 0. Suppose -a = 3*j + 5*x, -152 = 5*j + 2*x - 3*x. Let w = -15 - j. What is the remainder when 44 is divided by w?
14
Let q = 3 - -6. Let j(s) = s - 1. What is the remainder when 22 is divided by j(q)?
6
Calculate the remainder when 7 + (-234)/30 - (-309)/5 is divided by 22.
17
Let w be ((-6)/(-15))/((-2)/50). What is the remainder when (12/w)/(1/(-5)) is divided by 2?
0
Suppose 0 = 6*o - 11*o + 25. Suppose 4*a - 6 = -3*z + 19, -3*a - 50 = -4*z. What is the remainder when 3 + z + -1 + 1 is divided by o?
4
Let q = -1587 + 1722. Calculate the remainder when q is divided by 50.
35
Let k(l) = 4*l**2 + l - 6. Let a be k(-6). Suppose 2*v = -3*f + 88, -2*f + v + a = 2*f. Suppose -88 = -4*u - f. What is the remainder when 55 is divided by u?
13
Suppose -76*u = -71*u - 240. What is the remainder when 430 is divided by u?
46
Suppose 13 = 3*w + 4. Let l(k) = k**3 + 3*k**2 - 7*k - 1. Calculate the remainder when l(w) is divided by 11.
10
Let c be ((-6)/(-4))/((-9)/36). Let u be c/27 + (-2260)/(-45). Suppose -y = -6*y + u. What is the remainder when 17 is divided by y?
7
Suppose o - 24 = 6*f - 2*f, 5*f + 23 = 3*o. Let z(h) = h**2 + 4*h + 3. Calculate the remainder when z(f) is divided by 7.
3
Let o(t) = -t**3 + 11*t**2 - 10*t + 36. What is the remainder when 89 is divided by o(10)?
17
Let x(h) = -h**3 - 4*h**2 - 4*h - 5. Let a be x(-5). Suppose -a = -9*z + 4*z. Suppose -8*p - 8*p + 64 = 0. What is the remainder when z is divided by p?
0
Suppose 5*j = 11*z - 13*z + 1289, 783 = 3*j - 2*z. What is the remainder when j is divided by 9?
7
Suppose 16*b = 12*b + 568. What is the remainder when b is divided by 46?
4
Let p(j) = -2*j**3 - 2*j**2 + 4*j. Suppose 5*c - 2*c + 9 = 0. Suppose 39*w + 201 = 747. What is the remainder when p(c) is divided by w?
10
Let f(s) = 5*s**2 + 3*s + 2. Suppose 63*o - 20 = 169. Calculate the remainder when f(-2) is divided by o.
1
Let h(c) = c**2 + 13*c + 17. Let j be h(-12). Suppose 30 = v + 3*l + 2*l, -5*l = j. What is the remainder when v is divided by 12?
11
Suppose 5*v + 53 = 198. Suppose -10*q = -5*q - 234 - 41. Calculate the remainder when q is divided by v.
26
Suppose 0 = 2*s - 218 - 164. Calculate the remainder when s is divided by 87.
17
Let v(w) = 4*w + 10. Let u be v(8). Let t = 65 - u. What is the remainder when 79 is divided by t?
10
Suppose -4049 = -46*j + 321. What is the remainder when j is divided by 34?
27
Let r(p) = 31*p**2 - 18*p - 1. What is the remainder when 153 is divided by r(-1)?
9
Suppose -4 = -2*c + c. Let w be c*(-3)/(-6) + 230. Suppose 112 = 4*p - w. What is the remainder when p is divided by 22?
20
Suppose -5*v = i - 267, -v = -4*i + 7*i - 773. What is the remainder when i is divided by 20?
17
Suppose -60 - 148 = -16*h. Let u(i) = 58*i**2 + 2*i + 1. Let f be u(-1). Let t = 106 - f. What is the remainder when t is divided by h?
10
Let g be 2/1 + -3 - -6. Suppose 0 = -3*w + g*r - 13, -2*r + 1 + 6 = -3*w. Calculate the remainder when w/(-5) + 1026/45 is divided by 12.
11
Let u = -24 + 29. Suppose -605 = -5*z + u*d, -z + 3*d = -2*d - 137. Calculate the remainder when z is divided by 24.
21
Suppose -2*f = 2*f + 4*d, 7 = -4*f + 3*d. Let c = 38 - f. Calculate the remainder when c is divided by 6.
3
What is the remainder when (18872/14)/((-8)/(-6)) is divided by 13?
10
Let s(l) = 16*l**2 + 6*l + 13*l**2 - 2 + 7*l - 10*l. Let f be (-3 + 6 + -1)/2. Calculate the remainder when s(f) is divided by 8.
6
Let w = 50 - 46. What is the remainder when 12 is divided by w?
0
Suppose 59*n = 55*n + 500. Suppose -i + j - 4*j = -65, -3*i = -5*j - n. What is the remainder when i is divided by 18?
14
Let t(h) = 2*h**3 - 2*h + 2. Let f be t(1). Suppose k - f*k + q = -17, -2*k + 5*q = -40. Calculate the remainder when k is divided by 8.
7
Suppose -50 = -d - 2*h, 4*d - h = 3*h + 164. Calculate the remainder when d is divided by 15.
14
Let i(o) = -o**2 - 5*o + 6. Let k be i(-5). Suppose -9*f + k*f + 45 = 0. What is the remainder when 71 is divided by f?
11
Suppose 0 = -2*v + q + 118, 0 = -2*v + 4*q + 148 - 36. Calculate the remainder when v is divided by 6.
0
What is the remainder when (1 - -110)*1/3 is divided by (-8 + (-308)/(-21))*(-9)/(-6)?
7
Suppose -11047 - 8179 = -178*o + 532. Suppose -2*g + 43 + 13 = 0. What is the remainder when o is divided by g?
27
Let a(f) = 5*f**2 - 7*f - 1. Calculate the remainder when a(-3) is divided by 52.
13
Let c(s) = s**2 + 10*s + 10. Let a be c(-6). Let u = a - -20. What is the remainder when 28 is divided by u?
4
Let c = -17 + 35. Suppose -4*z - 8 = -4*q, z - 13 = -4*q - 0*q. Let m = c + q. What is the remainder when m is divided by 8?
5
Suppose 0 = -0*a + a - 35. Calculate the remainder when a is divided by 141/12 - 14/(-56).
11
Suppose -4*x - 61 = -b - 24, -x - 53 = -2*b. What is the remainder when (-70)/b*(3 + -53) is divided by 36?
32
Suppose 27*v - 396 = 18*v. Calculate the remainder when 135 is divided by v.
3
Suppose 903 = 7*d - 497. What is the remainder when d is divided by 68?
64
Suppose -4*k + 1293 = -5*y, -4 = -2*y + 6*y. Calculate the remainder when k is divided by 84.
70
Suppose t - 4*v - 184 = -45, -3*v = 15. Suppose -3*j + 73 = -z, 3*z = 5*j - 2*z - 125. Calculate the remainder when t is divided by j.
23
Let q be ((-1)/3)/(1/(-813)). Let c(o) = -18*o**3 - 2*o**2 - 2*o + 2. Let b be c(2). Let z = b + q. Calculate the remainder when z is divided by 30.
27
Suppose 0 = 2*t - 5*i - 1 - 2, 3*t - 5*i - 7 = 0. What is t