 is the remainder when 87 is divided by 2 - 3/2*(t + 16)?
2
Suppose 0 = 16*g - 182 - 458. Suppose 4 = 2*a, 4*a = -5*x - 0*a + 128. Suppose 4*t - g = x. What is the remainder when 29 is divided by t?
13
Suppose -3*u = 6, 4*s - 14 = -0*s + 3*u. Suppose -m = r + 2*r - 48, -172 = -5*m + s*r. What is the remainder when m is divided by (13 + -14)*3 - -26?
13
Suppose 0 = -14*d + 2150 - 218. Let v(k) = k**2 - 1. Let u be v(2). Suppose a - t = -2*t + 44, -u*t - d = -3*a. Calculate the remainder when a is divided by 16.
13
Let x be (-3)/12 - (-97)/4. Suppose r + x = 2*r. Suppose -2*h - 101 = -j, -j + 0*h + 5*h = -77. What is the remainder when j is divided by r?
21
Let q = 164 + -104. Let w(n) = 7*n - 32. Let o be w(5). Suppose -s + 0*t + 17 = -5*t, -5*s + o*t + 85 = 0. Calculate the remainder when q is divided by s.
9
Suppose -96*n + 3296 = -1408. Let a(h) = -22*h - 6. What is the remainder when a(-11) is divided by n?
40
Suppose -4*l + 11 = 7, 5*p - 5*l = -40. Let o(z) = 1 - 6 - 6*z - 2. Calculate the remainder when o(p) is divided by 10.
5
Suppose 3*n - 875 = 5*z, -n = 5*z - 36 - 249. Calculate the remainder when n is divided by 44.
26
Let l be (56/98)/(4/(-14)). Let p(k) = -6*k + 1. Calculate the remainder when ((-108)/3*l)/2 is divided by p(-3).
17
Let s(l) = l**3 + 10*l**2 - 14*l - 11. Let i be s(-11). Suppose 1181 = i*x - 1877. What is the remainder when x is divided by 9?
4
What is the remainder when (-9)/2*(208/(-216))/(9/702) is divided by 72?
50
Let j(u) = -58*u**3 + 7*u**2 + 24*u + 15. Let z(a) = 5*a**2 + 2*a - 3. What is the remainder when j(-1) is divided by z(2)?
14
Suppose 2*l - 3*a - 4416 = -3814, 4*a + 602 = 2*l. Calculate the remainder when l is divided by 18.
13
Suppose 2*x - i = 114, 0 = -154*x + 155*x - i - 58. What is the remainder when 413 is divided by x?
21
Let d(s) = 2*s**2 - 3*s + 2. Let p = -20 + 26. Suppose 2*k - p = 0, -5*k = -5*a - 4*k + 82. Calculate the remainder when d(-5) is divided by a.
16
Let b be (0/1)/((-12)/6). Suppose -3*q - 2*p + 62 = b, -4*q = -11*p + 9*p - 64. What is the remainder when 143 is divided by q?
17
Suppose -15 + 3 = -3*u, -5*g - u = 1. What is the remainder when 40 is divided by 9 + 4 + 1 + (g - -1)?
12
Let x = 138 + -135. Suppose 358 = x*z + 5*g, 4*z + g = 3*g + 434. Suppose 34 - z = -11*h. What is the remainder when 18 is divided by h?
4
Suppose -52*m - 11*m = 51*m - 79230. What is the remainder when m is divided by 69?
5
Let m be (8/28)/(8/7 + -1). Suppose -4 - 5 = c + 5*w, 5*c - 47 = -m*w. Suppose 3*z - 195 = -2*z. Calculate the remainder when z is divided by c.
6
Let g(b) = 4*b**2 - 173*b + 779. What is the remainder when g(5) is divided by -3*2*8/(-6)?
6
Suppose 65 = 16*t - 11*t + j, 75 = 5*t - j. What is the remainder when 68 is divided by t?
12
Suppose -737*f + p = -741*f + 2877, 0 = 5*p - 5. What is the remainder when f is divided by 60?
59
Let u be (5 + -3 - 2) + 0. Suppose -5*q - 67 + 1632 = u. What is the remainder when q is divided by 63?
61
Suppose -6 = -x - 2*r, -4*x + 9*x - 3*r + 9 = 0. Suppose x = 5*z + 55 - 130. What is the remainder when 37 is divided by z?
7
Suppose 0 = m + 3*m - 12. Suppose -4 - 185 = -m*d. Calculate the remainder when d is divided by 22 - ((-360)/(-63) - 4/(-14)).
15
Suppose -59 = 2*d - 5*g, 0 = -0*g + 2*g - 6. Let h = d - -26. Suppose -3*v + 3*j + 45 + 51 = 0, 0 = h*v + j - 113. What is the remainder when v is divided by 8?
5
What is the remainder when 2497 is divided by (9945/(-18))/(-13)*(-12)/(-10)?
49
Calculate the remainder when 7344 is divided by 41 - (1/(-12) - (-2783)/276).
28
Suppose 2*l + 264 = 242. Suppose -23 = -k + 12. Let j = l + k. Calculate the remainder when 90 is divided by j.
18
Suppose 4*y + 2*d - d - 429 = 0, -y + 123 = -2*d. What is the remainder when 353 is divided by y?
26
Let g = 92 + -86. Let z be (-2 + g - 77) + (-3)/(-1). Let s = -61 - z. Calculate the remainder when 124 is divided by s.
7
Let c(h) = -2*h + 7. Let g be c(-13). Let x = -30 + g. Suppose -3*m + x*k + 123 = 5*k, 192 = 5*m - k. What is the remainder when m is divided by 21?
18
Suppose 1 = i - r, -5*i + 3 = 2*r - 9. Let j(h) = -h**2 + 9*h - 11. What is the remainder when -1*(-6 - 4/i) is divided by j(2)?
2
Let g be -3*(2 + -1) + 8. Suppose 3*f + 46 = 5*f + 4*o, g*o = f - 2. Let u(j) = -j**3 + 33*j**2 - 30*j - 54. What is the remainder when f is divided by u(32)?
7
Let h(f) = 30*f + 4560. What is the remainder when h(-134) is divided by 133?
8
Let p(b) = -b**2 - 22*b - 89. What is the remainder when 3159 is divided by p(-12)?
28
Let m(l) be the second derivative of l**5/20 - l**4/6 - l**3/3 + 2*l**2 + 14*l - 2. Calculate the remainder when m(4) is divided by 17.
11
Suppose -5*m - 15 = 0, -7*m + 8*m - 25 = -4*r. Suppose -3*l + 209 + r = 0. Calculate the remainder when l is divided by 16.
8
Let m = 722 - 607. Let k(h) = -h**3 - 2*h**2 - 2*h. Calculate the remainder when m is divided by k(-4).
35
What is the remainder when (-130)/(-520) - 22422/(-8) is divided by 349?
11
Let m(t) = -t**3 + 23*t**2 + t. Let s(b) = -b**3 + 13*b**2 + 4*b - 38. What is the remainder when m(23) is divided by s(13)?
9
Let o = -160 + 166. Suppose -76 + o = -14*v. What is the remainder when 32 is divided by v?
2
Suppose -52*h + 249 = -15091. What is the remainder when h is divided by 187?
108
Suppose 23*z = -66*z + 3827. Calculate the remainder when z is divided by (-3)/18 - 628/(-24).
17
Let z = 3705 + -3634. Let s(b) = -2*b - 3. Calculate the remainder when z is divided by s(-9).
11
Let d(w) = 2*w - 102. Let i be d(-29). Let n = -136 - i. What is the remainder when 28 is divided by n?
4
Suppose 11*o + 124 = -20*o. Let c(u) = -u**3 - 2*u**2 - 8*u - 3. What is the remainder when c(o) is divided by 23?
15
Let h be 4/(-34) + ((-18)/(-51))/3. Suppose h = -c - 5 + 16. What is the remainder when 117 is divided by c?
7
Let o be (-15)/(-5) + (-2)/(-1). Suppose -3*g - 18 + 102 = -o*f, -f = -g + 28. Let k(q) = -q**2 + q + 8. What is the remainder when g is divided by k(0)?
4
Calculate the remainder when 993 is divided by (-13 - -1)/(374/(-9537)).
75
Let t(x) = -331*x - 3905. What is the remainder when 2879 is divided by t(-12)?
65
Let s(z) be the third derivative of 7*z**4/24 - 14*z**3 + 79*z**2. What is the remainder when 69 is divided by s(15)?
6
Suppose 0 = -l + g + 25, -3*l + 90 = -4*g + 16. What is the remainder when 8993 is divided by l?
23
Let u = 957 + -924. Suppose -5*p = -2*d - 1478, -p - 3*d + 168 = -131. Calculate the remainder when p is divided by u.
32
Let p be (-3 - -1) + -2 - -9. Suppose -5*y - p*q + 275 = 0, -2*q = -3*y + 7*y - 222. Let u = y + -48. What is the remainder when 22 is divided by u?
6
Let o = -1061 + 1503. Let m = -440 + o. Calculate the remainder when m is divided by 1.
0
Suppose 0 = -27*k - 339*k + 397476. Calculate the remainder when k is divided by 13.
7
Let v(y) be the first derivative of y**4/2 - 11*y**3/3 - 3*y**2/2 + 11*y - 73. What is the remainder when 112 is divided by v(6)?
25
Let l(f) = f**2 - 6*f - 12. Suppose -5*a + 5*u - 53 - 27 = 0, -18 = a - 3*u. Let y be (12/(-10))/((-3)/a). Calculate the remainder when l(y) is divided by 7.
4
Let h(s) = -s**2 + 16*s + 5664. What is the remainder when h(0) is divided by 11?
10
Let d be (-1 + -6)/(-14) - 1614/(-4). Let z = d + -328. What is the remainder when z is divided by 13?
11
Let a be 1 - (6 + 0) - -4. Let n(p) = 10*p**2 + 2*p + 2. What is the remainder when n(-1) is divided by (8/(-20)*a)/((-1)/(-5))?
0
Calculate the remainder when 179 is divided by (117 - -7) + (-2)/2*6.
61
Suppose 2*s - k = -s - 1029, -3 = -k. Suppose -5*c - 3*a + 152 = 0, 2*a - 11411 + 11403 = 0. What is the remainder when c is divided by 2/(-7) - s/21?
12
Let c = 6700 - 6679. What is the remainder when c is divided by (-1)/(-4) - 189/(-12)?
5
Let l = -881 + 893. What is the remainder when 14578 is divided by l?
10
What is the remainder when (-53212)/(-265) - (-1)/5 is divided by 68?
65
Let r(u) = 33*u**3 + u**2 + 225*u - 694. What is the remainder when r(3) is divided by 70?
41
Let k(r) = r**3 - 20*r**2 - 332*r - 67. Calculate the remainder when 647 is divided by k(31).
11
Suppose 0 = -x - 10, -5*h = 1375*x - 1370*x - 150. Let l = 153 - 74. Calculate the remainder when l is divided by h.
39
Let l(h) = 3*h**2 - 3*h - 4. Let c be ((-9)/(252/(-16