emainder when y is divided by u.
26
Suppose -a + 69 = -2*a. Let s(n) = n**3 + 2*n**2 - 10*n + 27. Let k be s(4). Let m = k + a. What is the remainder when 95 is divided by m?
11
Let b(u) = 40*u - 295. Calculate the remainder when 321 is divided by b(9).
61
Suppose 12 = 14*f - 212. Calculate the remainder when (-3)/15 + (-15060)/(-50) is divided by f.
13
Let f(s) = s**3 - 39*s**2 + 84*s - 322. Suppose -4*w = i - 2*i + 31, -4*i - 3*w = -124. Let z = -21 + i. What is the remainder when f(37) is divided by z?
8
Suppose -j - 108 = -2*j. Suppose -3*b = -6*m - 0 - 111, -5*b + 191 = -4*m. Calculate the remainder when j is divided by b.
30
Let x(j) = -104*j - 1850. What is the remainder when 1135 is divided by x(-18)?
13
Suppose 5*k - 26 = 34. Suppose 2*i + 32 = -f - 21, f = -4*i - 105. Let b = 72 + i. Calculate the remainder when b is divided by k.
10
Suppose -123 = -13*n + 124. Let z(b) = b**3 - 26*b**2 + 139*b - 9. Let a = -37 + 64. Calculate the remainder when z(n) is divided by a.
24
Suppose -183*o + 171*o = -1248. Calculate the remainder when 261 is divided by o.
53
Let p = 4 - -14. Let q be -259*(-3)/(105/10). Suppose 0 = -2*b - 2*w + q, 0*w - 2*w = -6. What is the remainder when b is divided by p?
16
Let y(a) be the first derivative of -a**3/3 + 17*a**2/2 + 3*a - 52. Calculate the remainder when y(6) is divided by 10.
9
Let w(z) = 15*z - 893. Calculate the remainder when 163 is divided by w(67).
51
Let n(s) = 20*s - 409. Suppose 6*f + 3*r = f + 40, -3*f + 38 = -r. Calculate the remainder when n(24) is divided by f.
5
Let h be (-4)/3 + -1 + 19/3. Suppose -2*o + 628 = -3*k + 1594, h*k - 1289 = 3*o. Calculate the remainder when k is divided by 12.
8
Let n(y) = y**3 - 28*y**2 + 50*y + 63. Suppose i - 4*w = 22, -8*i - 2*w + 106 = -4*i. What is the remainder when 40 is divided by n(i)?
7
Suppose -3*q + 3900 = 4*b, -3*q - 1097 = 2*b - 4985. Calculate the remainder when q is divided by 50.
42
What is the remainder when (-6)/13 - 22000/(-572) is divided by -3 + 29 + 2 + -3?
13
Let r = 17822 + -16035. Calculate the remainder when r is divided by 76.
39
Suppose 425 = -6*x + 83. Let c = -41 - x. Suppose c*y + 72 = 18*y. Calculate the remainder when 107 is divided by y.
35
Calculate the remainder when (4 + 30/(-12))/(36/5352) is divided by 68.
19
Suppose 5*a + 3*r = 407, -4*a - 16*r = -13*r - 322. Calculate the remainder when 843 is divided by a.
78
Let k = -55 - -94. Let o = -771 - -1351. What is the remainder when o is divided by k?
34
Calculate the remainder when (-14495520)/(-13650) + (-2)/(-35) is divided by 135.
117
Let n(s) = -21 + 25 - 4*s - 2*s - 27. Let k = -21 - -14. Calculate the remainder when n(k) is divided by 10.
9
What is the remainder when 694 is divided by (-20 + 97 + 22)*(-8)/(-18)?
34
Let o be 0 - (0 + 0/5). Suppose -4*f - 5*g + 37 = o, 4*g + 23 = f + 8*g. What is the remainder when 1*f - (66 + 6)*-2 is divided by 37?
36
Let z(k) = -86*k - 1007. Calculate the remainder when 446 is divided by z(-12).
21
Let u(l) = l + 15. Let o be u(5). Suppose o*y - 16*y + 264 = 0. Let k = y + 78. Calculate the remainder when 25 is divided by k.
1
Let t(y) = -14*y**2 + y + 15. Let i be t(5). Let j be (2/1)/((-5)/i). Let k = -128 + j. What is the remainder when k is divided by 3?
1
Let y(i) = -3*i - 11. Let c be y(-5). Suppose 2*h - v = 35, 58 = c*h + 2*v - 0*v. What is the remainder when 31 is divided by h?
15
Let o be 4/6*3/(-2). Let a be 3 + (-3 - -4) + o. Suppose 0 = t + 2*t + a, 4*z - 418 = 2*t. Calculate the remainder when z is divided by 27.
23
Suppose 11*x = 10*x + 4*n + 157, -4*x + 5*n + 573 = 0. Calculate the remainder when x is divided by 43.
8
Let d = 314 - 311. Suppose -117 - 145 = -2*h. Calculate the remainder when h is divided by 111/d + (-48)/12.
32
Let i be 1 - 2/(-3)*957/22. Suppose 6*c - 4*c - i = 0. Let u(h) = h**3 - 13*h**2 - 27*h - 31. What is the remainder when 27 is divided by u(c)?
13
Suppose 93 = 4*n - 3*n. Suppose 14*p = 5*a + 10*p - 147, 3*a - 4*p - n = 0. What is the remainder when a is divided by 5?
2
Let b be ((-57)/(-6))/(-1)*2. Let m(o) = -6*o**2 - 2*o - 18*o - 4 + 42*o**2 - 37*o**2. What is the remainder when 86 is divided by m(b)?
11
What is the remainder when 4368 is divided by 3/48*-8 - 462/(-12)?
36
Let l be (2/(-3))/((-4)/(-39))*2. Let i = -15 - l. What is the remainder when 55 is divided by 1/2*i - -21?
15
Suppose -4*o = -2*i + 482, 2*o + 225 + 251 = 2*i. Let l = 17575 + -17558. Calculate the remainder when i is divided by l.
14
Let l(i) = 181*i**3 - i**2 - 5*i + 5. What is the remainder when l(2) is divided by 206?
203
Let z(f) be the second derivative of -3*f**3/2 - 19*f**2 + 105*f. Calculate the remainder when 405 is divided by z(-8).
31
Let d(i) be the first derivative of -25*i - 11/2*i**2 + 21. What is the remainder when d(-4) is divided by 5?
4
Suppose 0 = -14*p - 26539 + 9879. Calculate the remainder when (5/2)/((-17)/p) is divided by 60.
55
Let o = 5 - 1. Suppose -3*r = -o*t - 30, 35 = 3*r - t + 5. What is the remainder when (5/((-125)/20))/((-6)/135) is divided by r?
8
Let z(h) = 5*h**2 - 46*h - 64. What is the remainder when 350 is divided by z(-3)?
112
Let x(n) = n**3 + 3*n**2 - 63*n + 310. What is the remainder when x(6) is divided by 48?
16
What is the remainder when 202 is divided by 298 + -299 + (-663)/(-5) + 6/15?
70
Let l(o) = -o**3 + o - 1. Let n(w) = -w - 4*w**3 - 295*w**2 + 303*w**2 - 2*w. Let b(p) = 5*l(p) - n(p). What is the remainder when 14 is divided by b(-9)?
2
Let a = 99 + 35. Let z = a - 114. What is the remainder when 136 is divided by z?
16
Let f(t) = -t**3 - 9*t**2 + 14*t - 5. Calculate the remainder when f(-11) is divided by (-86)/(-3) - (-1)/3.
25
Let k(z) = z**3 + 9*z**2 + 2*z + 131. What is the remainder when 15 - 7/((-28)/(-8)) is divided by k(-10)?
2
Suppose -86*l + 282504 + 314963 = -544785. Calculate the remainder when l is divided by 37.
36
Let y(x) = -18*x**2 + 253*x + 1281. Let f = -6 + 12. Calculate the remainder when 1 + -1 + f/2 is divided by y(18).
0
Let f = -16104 + 18115. Calculate the remainder when f is divided by 14.
9
Let n(j) = j**2 - 110*j + 1542. What is the remainder when n(98) is divided by 47?
37
Let a(s) = s**2 - 34*s + 225. Let q be a(7). Suppose 19*d = q*d - 459. Calculate the remainder when 50 is divided by d.
23
Let b = -139 - -230. Calculate the remainder when b is divided by (2 + 2*99/6)*(470 - 469).
21
Let q be ((-6)/(-5) + 2)/(2/(-15)). What is the remainder when 16 is divided by 36/q*3/((-27)/6)?
0
Suppose 16*m - 15*m - 2*b = 2, 0 = -4*m + b + 1. Suppose 4*u + 529 - 617 = m. Calculate the remainder when 49 is divided by u.
5
Let u = -40 + 95. Suppose 37*b - 2237 = -1534. What is the remainder when u is divided by b?
17
Let m = -30745 - -31936. Calculate the remainder when m is divided by 150.
141
Suppose 0 = -62*s + 6313 + 14953. What is the remainder when s is divided by 92?
67
Let t(z) = 3*z**2 - 7*z + 5. Let b be t(2). Suppose -2*k = b*d - 302 + 87, -5*k = -20. Calculate the remainder when d is divided by 32.
5
Let w(x) = x**2 - 7*x + 5. Let i be w(7). Suppose 5*r - 5*p = 80, -i*p = 14*r - 10*r - 37. What is the remainder when 194 is divided by r?
12
Suppose -4*m = -34 - 26. Suppose 5*c + 546 - 164 = -h, 5*h = m. What is the remainder when -2 + ((-4)/1 - c) is divided by 19?
14
Suppose 0 = 62*g - 66*g - 7*h + 819, 0 = -4*g - h + 813. What is the remainder when 216 is divided by g?
13
Suppose -16669 = -44*w + 8983. What is the remainder when w is divided by 88?
55
Let s be 1/((-4 - -5) + -2). Let p(y) = -8*y. Let a be p(s). Suppose -4*r - a = 0, -62 + 20 = -t - 4*r. What is the remainder when t is divided by 28?
22
Let c(j) = -5*j + 46. Let v be c(-24). Suppose 0 = -16*y + 998 - v. Calculate the remainder when 119 is divided by y.
15
Let p(m) = 2*m**2 - 12*m - 31. Let v be p(8). Calculate the remainder when 175 is divided by (v - -44) + (-1 - -1).
40
Suppose 0 = 461*n - 345*n - 783116. What is the remainder when n is divided by 12?
7
Suppose 63 - 55 = x. Let w(f) be the third derivative of -f**5/60 + 3*f**4/8 - 2*f**3/3 - 6*f**2. What is the remainder when 31 is divided by w(x)?
3
Suppose -30*p + 185 = -34 - 171. What is the remainder when 283 is divided by p?
10
Let v(k) = 45*k**2 + 9*k + 7. Let y(p) = -p**2 + p. Let o(a) = -v(a) + 2*y(a). 