u. What is the remainder when 32 is divided by k?
14
Let c be (-4)/(-6) - (-792)/27. Suppose -1 = p + c. Let u = p - -51. Calculate the remainder when 78 is divided by u.
18
Let l(m) = m**3 - 34*m**2 - 149*m - 100. Suppose -3*z - 10 = -2*b + 14, 0 = -3*b + 2*z + 26. What is the remainder when l(38) is divided by b?
2
Let c be (-355)/(-10)*(0 + 2). Suppose -37 = -3*y + c. Suppose 3*w = -6 + y. Calculate the remainder when 17 is divided by w.
7
Suppose c = 2*o - 21, -7*o - 4*c = -2*o - 33. Calculate the remainder when 34 is divided by o.
7
Suppose -g - 5*f = -2*f - 74, 3*g = 2*f + 255. What is the remainder when g is divided by -14*(120/28 - 6)?
11
Suppose 195 = -27*c + 357. Let b be ((-2)/(-3))/((-1)/(-21)). Suppose 5 = -u + b. What is the remainder when u is divided by c?
3
Let i(n) = n**3 - n**2 - n + 1. Let z be i(2). Suppose 3*d + d + 2*g = 54, 0 = -d + z*g + 17. Calculate the remainder when d is divided by (-12)/((-1)/1)*31/93.
2
Suppose 5*b = 4 + 6. Suppose 3*r + 0 = b*x - 4, -4*x + 8 = 5*r. Suppose -x*c + c = 0, -5*f = 4*c - 110. Calculate the remainder when f is divided by 6.
4
Suppose 3 + 22 = 5*q. Suppose 36*s - 36 = 34*s. What is the remainder when s is divided by q?
3
Suppose v + 4*v = -4*f + 3618, -2*f - 4*v = -1812. Calculate the remainder when f/10 - (-5)/(-25) is divided by 23.
21
What is the remainder when 28 is divided by (-4)/(-7)*(-35)/50*-25?
8
Let p(t) = 4 + 3 - t**2 - 5 - 5*t**3 + 3*t. Calculate the remainder when 95 is divided by p(-2).
31
Let s(z) = -10*z + 12. Let t = 66 - 42. Calculate the remainder when t is divided by s(0).
0
What is the remainder when (-13)/(182/(-35210)) - (-2 - 1) is divided by 12?
10
Let o = 103 + -96. Calculate the remainder when 79 is divided by o.
2
Suppose 0 = -5*v + v + 5*m + 13, 3*v - m - 7 = 0. Suppose -o + v*o - 8 = 0. What is the remainder when 11 is divided by o?
3
Let v(x) = -14*x + 42. What is the remainder when v(-9) is divided by 35?
28
What is the remainder when 127 is divided by (-6)/(-14) + 201/21?
7
Let q(v) = 2*v. Let h be q(5). Suppose h*y - 4 = 6*y. Calculate the remainder when ((26*-2)/y)/(-1) is divided by 27.
25
Let t = -1 - -26. Suppose 2 = -j, -4*j = 2*v - t - 81. What is the remainder when v is divided by 29?
28
Calculate the remainder when 323 is divided by ((-1134)/294)/((-1)/7).
26
Suppose -19*t = -14*t - 15. What is the remainder when t is divided by 3 + -2*(-1)/(-2)?
1
Suppose 4*h - 10*h = -306. Let d = -39 + h. Calculate the remainder when 18 is divided by d.
6
Suppose 4*q - 56 = 64. Let t be 8/6*(-33)/22. Calculate the remainder when q is divided by 5 - (-7 - (t - 2)).
6
Calculate the remainder when 39/12 + -4 + (-51040)/(-128) is divided by 21.
20
Suppose c - 8 = 3*c - 4*k, -4*c + 2*k - 34 = 0. Let i be 125/c*(-6)/5. Let d = i - 2. What is the remainder when d is divided by 8?
5
Let z(u) = 2*u**2 + 2*u - 13. Let l = -14 + 5. Let h = l - -28. Calculate the remainder when h is divided by z(-4).
8
Let g = 1552 - 1485. Let u(n) be the third derivative of n**6/60 - n**5/15 + n**4/8 - 2*n**3/3 - n**2. What is the remainder when g is divided by u(3)?
21
Let z(m) = -12*m - 12. Let i be z(-6). Suppose 0 + i = -5*o. What is the remainder when (30/o)/(1/(-8)) is divided by 6?
2
Let h(b) be the second derivative of b**4/12 - b**3/6 + 7*b**2/2 - 10*b. Calculate the remainder when 105 is divided by h(5).
24
Let m(y) = 2*y**2 - 2*y - 1. Let s(k) = -k + 2. Let t be s(10). Calculate the remainder when (-86)/t*(3 + 1) is divided by m(3).
10
Let k(j) = -2*j**3 - 10*j**2 - 2*j + 5. Let r be k(-7). Suppose 23*n - r = 18*n. What is the remainder when 127 is divided by n?
41
Let p(a) = a**3 + 5*a**2 - 2. What is the remainder when 207 is divided by p(2)?
25
Let m(n) = 8*n**2 + n - 5. What is the remainder when 252 is divided by m(-3)?
60
Calculate the remainder when ((-13)/(-2))/((-50)/(-1100)) is divided by 21.
17
Suppose -2*w + 2*j + 35 = -w, 2*j = -3*w + 129. Calculate the remainder when w is divided by (-71 - -78)*(-1)/(-1).
6
Let f = 8 + -4. Suppose 2*i = f*i - 2*v - 738, i = -4*v + 389. Calculate the remainder when (-7)/42 + i/6 is divided by 21.
20
Let v be 0*(-1)/3*27/(-18). Suppose v = -2*x + x - 4*r + 42, 2*x - 3*r - 95 = 0. What is the remainder when x is divided by 19?
8
Let a(v) = 8*v**2 - v - 1. What is the remainder when a(-3) is divided by 6/(-8) + 402/24?
10
Let j = 143 - 124. Suppose 3*d = -j*d + 3366. What is the remainder when d is divided by 31?
29
Let m(s) = 2*s**2 + 18*s + 3. Let l be m(-9). Let c(f) = -f**3 + 4*f**2 + 3*f - 2. Calculate the remainder when c(3) is divided by (42/35)/(l*(-3)/(-75)).
6
Suppose -15 = -5*s, 4*s + 12 = 3*q - 3. What is the remainder when 43 is divided by q?
7
Suppose 372 = 31*c - 0*c. What is the remainder when 322 is divided by c?
10
Suppose 6*w - 2*w = v + 92, -46 = -2*w - 3*v. What is the remainder when w is divided by 11?
1
Suppose 0 = 3*z, 2*y - 30*z - 84 = -25*z. What is the remainder when y is divided by 23?
19
Let q(o) = o + 2. Let i be q(11). Suppose 2*c - i - 45 = -3*a, 0 = 2*a - 2*c - 32. Calculate the remainder when 48 is divided by a.
12
Let x be ((-413)/(-2))/((-4)/(-80)*5). What is the remainder when x/21 - -4 - 2/6 is divided by -2*6*(-5)/4?
13
Suppose -5*s - 5*s + 570 = 0. Suppose 0 = -u - s + 169. Calculate the remainder when u is divided by 38.
36
Let k be (-3)/(-4) - 628/(-16). Suppose 0 = 13*g - 11*g + k. Calculate the remainder when g/((12/(-5))/6) is divided by 17.
16
Let w = 1286 - 1279. What is the remainder when 362 is divided by w?
5
Calculate the remainder when -5 + 0 - (57 + -688) is divided by 42.
38
Let r be (-2)/10 + (-226)/(-5). Suppose 3*q - 2*l = -38, 2*l = 4*q + 5*l + r. Let v = q - -15. Calculate the remainder when 4 is divided by v.
1
Let x(z) = 8*z**2 - 3*z + 3. Let w be x(1). Suppose -w*b + 744 = -4*b. Calculate the remainder when b is divided by 47.
45
Let a = 323 + -315. Calculate the remainder when 23 is divided by a.
7
Suppose 99 + 0 = 4*l + 3*f, -5*l + 5*f + 115 = 0. What is the remainder when 166 is divided by l?
22
Let j(i) = i**2 + 5*i + 5. Let v be j(-5). Suppose 93 = 2*h - h - u, -v = -u. Calculate the remainder when h is divided by 25.
23
Let h(g) = 6*g**2 + 17*g - 24. Calculate the remainder when 1106 is divided by h(-5).
40
What is the remainder when ((-203)/4)/((-3)/12) - 3 is divided by 29?
26
Suppose s - 2*s + 57 = 0. Let a(o) = -3*o**3 + 25*o**2 + 6*o - 14. Calculate the remainder when a(7) is divided by s.
53
Suppose 0 = -4*g - 16, o + 17 + 5 = -5*g. Calculate the remainder when 172 is divided by (-35)/o + (5 - 13/2).
12
Let s = -61 - -82. Suppose -s = -n - 9. Calculate the remainder when 17 is divided by n.
5
Suppose -a - 4*l = -48, -8*l = -13*l. Calculate the remainder when 189 is divided by a.
45
Let v = -360 + 645. What is the remainder when v is divided by 94?
3
Suppose -2*a = -0*a + 6. Let z(n) = -29*n - 6. Let v be z(a). Let p = v - 48. What is the remainder when p is divided by 12?
9
Suppose -14*n - 12 = -18*n, -d = 3*n - 46. Suppose -8*f + 3*f = -725. Calculate the remainder when f is divided by d.
34
Suppose -2*c - 524 = -838. Calculate the remainder when c is divided by 15.
7
Suppose -5*o = 2*i + i - 15, 4*i = 20. Let m(p) = -p**3 + p**2 - p + 2. Calculate the remainder when m(o) is divided by 2.
0
Calculate the remainder when 137 is divided by (19980/24)/(-9)*4/(-5).
63
Suppose 24*z + 1836 = 51*z. Calculate the remainder when z is divided by 59.
9
Let o(w) = 12*w - 5. Let n be o(1). Let p(y) = 2*y**2 + y - 8. What is the remainder when p(n) is divided by 25?
22
Let s = 60 - 59. What is the remainder when s - -28 - (-114)/(-38) is divided by 8?
2
Calculate the remainder when 11 + -5 + 35 - 5 is divided by 11.
3
Let q be (2 - -1)/(6/(-4)). Let r be (-1582)/(-8) - q/8. Suppose -3*k + 198 = -5*n, -r = -0*k - 3*k - 4*n. What is the remainder when k is divided by 23?
20
Suppose 3*q - 411 = -117. Calculate the remainder when 391 is divided by q.
97
Let b = 15 + -2. What is the remainder when b is divided by 2?
1
Let i(g) = g**2 + 24*g + 75. What is the remainder when i(-23) is divided by 10?
2
Let d = 58 - 5. Calculate the remainder when d is divided by 27.
26
Suppose 30*l = 32*l + 4*g - 12, 4*g = 4. Calculate the remainder when 13 is divided by l.
1
Suppose 0 = -18