he remainder when t is divided by s.
5
Let y be (0 + 3)*(11 + -14). Let b be (1 + y/(-4))/((-43)/172). Let l(u) = -u - 11. What is the remainder when 10 is divided by l(b)?
0
Suppose y - 2*z + 324 = 6*y, -10 = -5*z. Suppose 208 - 132 = 25*w - 349. What is the remainder when y is divided by w?
13
Let s(g) = -13*g**3 + 2*g**2 - 53*g - 214. What is the remainder when s(-4) is divided by 75?
37
Let r = 131 + -138. Let p(c) = 5*c**2 + 13*c + 13. What is the remainder when p(r) is divided by 24?
23
Let p = -866 + 869. Suppose -y - 56 = -p*h + 124, 0 = h + 2*y - 60. What is the remainder when h is divided by 13?
8
Let f = -37 - -40. Suppose -54 = -a - u, 192 = 4*a - f*u - u. Let j = -46 + a. Calculate the remainder when 7 is divided by j.
2
Let y(s) = s**3 - 4*s**2 - 66*s - 25. Let i(x) = 6*x - 91. Let a be i(17). Calculate the remainder when y(a) is divided by 11.
8
Suppose -154*d + 12081 + 4363 = 4278. Calculate the remainder when 5133 is divided by d.
77
Let c(o) = o**3 + 106*o**2 + 313*o + 702. What is the remainder when c(-103) is divided by 31?
11
Calculate the remainder when 100 is divided by 69/1 + (88 + -11)/(-11).
38
Suppose 302*l - 306*l = 20. Calculate the remainder when (6/(-9))/((-2)/111) is divided by (-1375)/(-100) + l/(-4) + -1.
9
Let x(a) = a**3 - 34*a**2 + 10*a - 196. Calculate the remainder when 279 is divided by x(34).
135
Let p(z) = 2*z**2 - 183*z - 3494. What is the remainder when 1832 is divided by p(108)?
12
Suppose 0 = 26*d - 440 - 80. Let s(g) = 6*g**2 + 4*g - 14. Let t(b) = -4*b + 6. Let h be t(3). What is the remainder when s(h) is divided by d?
18
Suppose c - 214 = -4*g, -3*c = -2*c - 4*g - 174. Suppose -c = -2*m + 4*z, -5*m + 467 = -5*z + 4*z. What is the remainder when m is divided by 49?
44
What is the remainder when (-1953*(-16)/360)/(2/5) is divided by 28?
21
Let q(h) = -2 - 6 - 3 + 4. Let w(i) = i - 14. Let f(u) = 9*q(u) - 4*w(u). Calculate the remainder when 32 is divided by f(-3).
2
What is the remainder when (-5 - (-245)/(-21))/(11/(-231)) is divided by 16?
14
Suppose 16 = -4*u, -592 = -2*r + 2*u + 384. What is the remainder when r is divided by 27?
25
Let x(q) = 37*q + 126. Calculate the remainder when 417 is divided by x(-2).
1
Let p be (0 + 12/10)*(21 - 31). Let g(j) be the third derivative of -j**5/60 - j**4/2 + 19*j**3/6 + 3*j**2. What is the remainder when g(p) is divided by 5?
4
Let k(s) = 8*s + 27. Let m be k(-3). Suppose 5*p = -q + 89, 63 + 28 = q + m*p. Calculate the remainder when q is divided by 16.
14
Let f(b) = -64*b**2 + 396*b + 12. What is the remainder when 241 is divided by f(6)?
73
Let a = 4789 - 3200. Suppose a = 3*p + 491. Suppose 7*r - 5*r - p = 0. Calculate the remainder when r is divided by 31.
28
Let j = 1686 + -1657. What is the remainder when 2232 is divided by j?
28
Let m(x) = -x**3 - 11*x**2 + 33*x + 22. Let a be m(-14). Let h = -111 + a. Calculate the remainder when h is divided by 19.
18
Let a be (-2)/13 - 22/(-429)*549. Suppose 8*u - 180 = -a. What is the remainder when 189 is divided by u?
18
Let m = -446 + 650. What is the remainder when m is divided by 2/10 + ((-4318)/(-85) - 10)?
40
Let u = -12789 - -13083. What is the remainder when u is divided by 57?
9
Let l be (-8)/(-3)*39/52. Let y be 2*-3*(-30)/l. Suppose 6*c - 8*c = -y. Calculate the remainder when c is divided by 13.
6
Calculate the remainder when 6/9 - 109/(-3) is divided by ((-60)/8)/(((-9)/8)/3).
17
What is the remainder when 902 is divided by -2*(-2)/5*1350/40?
11
What is the remainder when 630 is divided by (42/65 + (-40)/(-260))*45?
18
Let n be 5*(111/6 - 3/(-2)). Suppose 0 = -6*p + n + 428. Suppose -91*t + p*t = -24. What is the remainder when 17 is divided by t?
1
Suppose 0 = 4*p - 7 - 1. Suppose 11 + 35 = 2*u - 3*r, 3*u - 69 = -p*r. Suppose 5*h - u = 62. Calculate the remainder when 32 is divided by h.
15
Let c = 18 + -33. Let v be 1*4 + c/(30/4). Suppose -5*m + 20 = 0, -k - 2*m + 41 = v*m. Calculate the remainder when 45 is divided by k.
20
Let f(i) be the second derivative of 13*i**3/6 - 19*i**2/2 - 28*i. Calculate the remainder when 319 is divided by f(5).
43
Let u(w) = w**3 + 12*w**2 - 6*w - 11. Let i be u(-12). Let v = i - 59. Suppose 0 = -0*z - v*z + 74. Calculate the remainder when 145 is divided by z.
34
Suppose 0 = 144*s - 1438 - 2154 + 1144. What is the remainder when s is divided by 15/(-9)*(-2 - 1)?
2
Suppose 80*q + 58498 = 82*q + 3*i, 4*i = -3*q + 87746. Calculate the remainder when q is divided by 11.
8
Let g be (-2)/4 - (-2457)/42. Let r = -46 + g. Let i = r - 4. Calculate the remainder when 13 is divided by i.
5
Let p(y) = 2*y**2 + 35*y + 176. Suppose -48 = -4*f - 2*b + 4*b, 2*b = 5*f - 60. What is the remainder when p(-11) is divided by f?
9
Suppose 9 = 32*m - 29*m, m = -4*q + 75. Let a(v) = v**3 + 11*v**2 + 12*v + 9. What is the remainder when a(-8) is divided by q?
15
Suppose -133 = -3*c - 25. Let v = -4 + c. Let f = v + 6. Calculate the remainder when 149 is divided by f.
35
Let s(m) = 43*m**3 + m**2 - 2*m. Let d be s(2). Suppose 2*o - 2*v = d, 6*o + v - 528 = 3*o. What is the remainder when 104 is divided by 8/(-4)*o/(-10)?
34
Suppose 2*y + 3*w + 150 = 0, -2*w + 52 + 37 = -y. Let m = -62 - y. Suppose -12 = -20*b + m*b. What is the remainder when 38 is divided by b?
2
Suppose 109*p = 107*p + 218. Suppose -4*i + 194 - 154 = 0. What is the remainder when p is divided by i?
9
Let v(c) = -c**3 - 28*c**2 - 46*c + 162. What is the remainder when 65 is divided by v(-26)?
5
Suppose 18 = -420*v + 418*v. Let n(x) = -15*x - 109. What is the remainder when 96 is divided by n(v)?
18
What is the remainder when 2044 is divided by 210/10185 - (-12208)/679?
10
Let d be (-10580)/(-69)*27/2. Suppose 8*w - d = -10*w. What is the remainder when w is divided by 27?
7
Let y(q) = 2*q**2 + q + 2. Suppose -3773*n - z = -3776*n + 296, -5*n + 480 = z. What is the remainder when n is divided by y(-4)?
7
Suppose -3 = -g, 3*p = g - 3*g + 72. Suppose p - 6 = 8*m. What is the remainder when 31 is divided by (-265)/(-25) - m/(-5)?
9
What is the remainder when 331 is divided by ((-78)/(-429))/(2/286)?
19
Let t(v) = v**3 + 2*v**2 - 62*v + 27. Let s(o) = 15*o**2 + o. Calculate the remainder when s(3) is divided by t(0).
3
Suppose c = -5*z - 25, 16*c + 2*z + 49 = 13*c. Calculate the remainder when 6 is divided by (-88)/(-55) - (-9)/c.
0
Suppose -524*k = -503*k - 294. Let a = -12 + 9. Calculate the remainder when a - (84/(-2) - 1) is divided by k.
12
Let k(r) = r**3 - 35*r**2 - 3*r + 1311. Suppose -140 = -5*y + 5*q, -3*q = 5*y + q - 131. Calculate the remainder when k(34) is divided by y.
26
Let q(r) = -r**2 - 8*r + 2. Let f be q(-8). Suppose -f*h + g = -152, -3*h + 77 + 165 = 2*g. Let l = h - 61. What is the remainder when 66 is divided by l?
15
Let o(z) = -14*z**2 - 10*z - 17. Let h be o(-6). Let i = h + 481. Calculate the remainder when 418 is divided by i.
18
Suppose 2769 = 2*q - 831. Calculate the remainder when 88 is divided by (1/(-5))/((-24)/q).
13
Let n(z) = z**2 + 9*z. Let m be n(-7). Suppose 2*o - 4*y - 62 = 0, 19*o - 32 = 17*o - 2*y. Calculate the remainder when o is divided by -3 - 1/(2/m).
1
Suppose 0 = -o - o + 3*q + 66, 5*q - 80 = -3*o. Suppose 3*c - 4*c + 1523 = 3*j, 2*j - 4*c - 1006 = 0. Calculate the remainder when j is divided by o.
27
Suppose -5*u = -147*d + 145*d + 30, 2*d - 2*u = 24. What is the remainder when 4449 is divided by d?
9
Suppose -45*s + 96*s = 3978. Calculate the remainder when 2650 is divided by s.
76
Suppose 4*y = -5*i + 42, 3*i = -42*y + 37*y + 72. What is the remainder when 3869 is divided by y?
17
What is the remainder when (-154)/(-7)*1 - (13 + -10) is divided by (2 + 1 - 2) + 13?
5
Suppose 2*p - 6 = -2*b, 993*b = 992*b + 2. Let w(u) = -u - 6. Calculate the remainder when p is divided by w(-7).
0
Let z = 60 + -25. What is the remainder when 3633203/32177 + (-2)/(-23) is divided by z?
8
Suppose 0 = c + 8, m + 11*c + 134 = 837. What is the remainder when m is divided by 165?
131
Let k(b) = -b**3 + b**2 + 3*b - 1. Let q be k(0). What is the remainder when 189/11 + q - 2/11 is divided by -1 + 20/(-3 + 5)?
7
Let g = 77 - 34. Let t be (0/(4/2))/(-2). Suppose 5*w - 75 = -t*w - 2*c, -2*w + 4*c + 30 = 0. What is the remainder when g is divided by w?
13
Let k(d) = -d**2 + 10*d + 3. Let f be (