ppose 10*v - 12*v - 4*k = -412, -4*v = -5*k - 876. What is the remainder when v is divided by 61?
31
Suppose -3*j - 127 = -5*i, 16 = 58*j - 62*j. Calculate the remainder when 573 is divided by i.
21
Let l(d) = -2*d + 7. Let x be l(10). What is the remainder when (-604)/(-2) - (-15 - x) is divided by 52?
44
Suppose 5*g = 3*d + 43, -4*g = -4*d - 32 - 12. Calculate the remainder when 167 is divided by 6/((d - -7) + 1).
2
Suppose 4*m + 57 = 5*h - 73, 3*m - 130 = -5*h. Suppose -57 = -52*n + 671. What is the remainder when h is divided by n?
12
Calculate the remainder when 1032 is divided by 85/(-6 + (-460)/(-60)).
12
Suppose 3*y + 2044 = 5*w, -230*y + 228*y + 1196 = 3*w. Calculate the remainder when w is divided by 25.
4
Suppose 25*u - 30*u = -25. What is the remainder when u - 405/(-9 + 4) is divided by 22?
20
Let d(f) = -f**3 - 22*f**2 - 21*f + 2. Let i be d(-21). What is the remainder when 152 is divided by 36 + 9/i*8/6?
26
Let u = 51 + -33. Let d(h) = -28*h + 2694. Calculate the remainder when u is divided by d(96).
0
Let w = -3336 - -5479. What is the remainder when w is divided by 74?
71
Let i(s) = 13*s - 1. Let m be i(-2). Let v be (m/5)/((-21)/70). Suppose -16*o - 246 = -v*o. What is the remainder when o is divided by 31?
30
Let w = -3 + 12. Suppose 4 - 1 = 3*h - 3*b, -b + w = h. Calculate the remainder when 32 is divided by h.
2
Let g(d) = -3*d**3 + 10*d**2 + 43*d - 3. Suppose 0 = 4*b - 2*b, -2*s = -4*b - 90. What is the remainder when g(-4) is divided by s?
42
Suppose 269 - 25 = 4*q. Let u(m) = -2*m**2 + 121*m + 105. Calculate the remainder when 482 is divided by u(q).
42
Let y(d) = d**3 - 36*d + 365. Calculate the remainder when y(8) is divided by 22.
17
Suppose 2*l = -3*l + 3*h + 615, -h = 2*l - 235. Suppose 4*g = -t - 0*t + l, 4*g - 5*t = 120. Calculate the remainder when 68 is divided by g.
8
Suppose 0*u = -20*u + 3*u + 63631. What is the remainder when u is divided by 13?
12
Suppose -1700 = -33*y + 3646. Let u = y + -71. Let v = -12 + 31. What is the remainder when u is divided by v?
15
Let x(h) = -86*h + 55. Calculate the remainder when x(-4) is divided by 46.
31
Suppose 0 = -49*q + 77*q - 560. What is the remainder when 578 is divided by q?
18
Let x = 23866 + -23843. Calculate the remainder when 3342 is divided by x.
7
Let m = -3755 + 3756. Let t = 0 - -1. What is the remainder when m is divided by t?
0
Let f be 1*((-18)/(-6) - -355). Suppose 5 = 5*a, -3*v - 4*a + f = -v. What is the remainder when v is divided by 63?
51
Calculate the remainder when 4/(-14) - (-549250)/350 is divided by 43.
21
Suppose 3*p + 5*p = -20*p + 756. Suppose 4*z = 6*z - 538. What is the remainder when z is divided by p?
26
Let m be 2 + 19/((-57)/1290). Let t = m + 553. Calculate the remainder when t is divided by 22.
15
Calculate the remainder when 10/((-110)/(-2761)) - 10 is divided by 27.
25
Let o(x) = -16*x**2 + 80*x + 7. Let s be o(3). Let y = 72 + -44. Suppose s = h - y. Calculate the remainder when h is divided by 33.
32
Let s be -14 + ((-128)/60 - (-2)/15). Let c(i) = i**2 + 16*i + 3. Let b be c(s). Let g(d) = 6*d**2 - 1. Calculate the remainder when g(b) is divided by 27.
26
Let k = 6628 + -6442. What is the remainder when 228 is divided by k?
42
Let o = -3154 - -3204. Calculate the remainder when 464 is divided by o.
14
Let f = 195 - 193. Let y(c) be the third derivative of c**4/12 + c**3/2 - 2*c**2. What is the remainder when y(f) is divided by 5?
2
Suppose -1147 + 7825 + 4046 = 28*o. What is the remainder when o is divided by 2?
1
Let c = 171 + -377. Let t = c + 391. What is the remainder when t is divided by 11?
9
Let t(r) = 9*r**2 + 12*r - 27. Let k be t(-5). Suppose -1206 - k = -6*x. What is the remainder when x is divided by 18?
8
Suppose 2*h - 12*n = 6614 + 8576, 3*h - 22739 = -5*n. What is the remainder when h is divided by 23?
16
Suppose 958 + 1873 = 22*h - 227. Calculate the remainder when 201 is divided by h.
62
Let i(z) = 35*z**2 + z + 1. Let f = 213 - 212. Calculate the remainder when 219 is divided by i(f).
34
Suppose 0 = 28*f - 31*f + 6. Suppose 54 - 194 = -f*k. Calculate the remainder when k is divided by 6*6 + 2/2.
33
Suppose -5*g - 174 = 3*g - 10*g. What is the remainder when 4520 is divided by g?
83
Suppose 8*z - 197 = 6*z - r, 2*r + 382 = 4*z. Let j = z + -93. Suppose -j*g - 199 = -3*h, 4*h - 4*g + 2*g = 252. What is the remainder when h is divided by 17?
10
Let n(o) = o**3 + 60*o + 1024. Calculate the remainder when n(0) is divided by 19.
17
Suppose -23 = -o - x, -5*x - 25 = 56*o - 58*o. Calculate the remainder when 219 is divided by o.
19
Let u(f) = 19*f**3 - 20*f**3 - 6*f**2 + 3 - 9. What is the remainder when u(-7) is divided by 2?
1
Let l = 19806 - 19671. Calculate the remainder when 5394 is divided by l.
129
Suppose -3*s + 4*f + 6920 = -0*s, 0 = -5*s - 3*f + 11572. Calculate the remainder when s is divided by 145.
137
Let p(a) = a**2 + 11710*a + 70253. Let s(y) = -82*y - 7. Calculate the remainder when s(-5) is divided by p(-6).
26
Let j be 8*((-6)/(-15) - 2841/(-60)). Calculate the remainder when 10/(-35) - 1/(-14)*j is divided by 3.
0
Suppose -6*n + 6 = -3*n. Let k(f) = -n + 7 - f**2 - 11*f - 14*f. What is the remainder when 17 is divided by k(-25)?
2
Let j(p) = -102*p - 125. What is the remainder when 209 is divided by j(-3)?
28
Suppose -4*d + 165348 = 388*m - 384*m, -d - 3*m = -41335. What is the remainder when d is divided by 260?
258
Let w be (-38 - -37)/(1/(-3)). Suppose -2*o - 2*n + 44 = 0, o + 0*o + w*n - 28 = 0. What is the remainder when 96 is divided by o?
1
What is the remainder when 270 is divided by (5964/105)/(6/15)?
128
Suppose -2*p = -2*l - 118, 3*l = p + 4*p - 185. Let u = 15 - l. Let s(q) = q**2 + 3*q - 4. What is the remainder when u is divided by s(-7)?
22
Let i be (-1)/(6 - 124/20). Calculate the remainder when (-2)/i - (-928)/145 is divided by 2.
0
Let s(v) = v**3 - 18*v**2 + 19*v + 6. Let x be 2*(-2 - 42/(-4)). Let y be s(x). Let p = y + -9. What is the remainder when p is divided by 17?
14
Let a = 4310 - 4015. What is the remainder when 609 is divided by a?
19
Let o(u) = -u**3 - 3*u**2 + 22*u. Let n be o(6). Let q = n + 263. What is the remainder when q is divided by 23?
2
Suppose 0 = -4*o - 87 + 11. Calculate the remainder when 1 + 0 + -1 - -63 is divided by (1 - 2)*(-3 + o).
19
Suppose 4*n - 3141 = 2*h - 229, -3*n - 15 = 0. Let s = -921 - h. What is the remainder when s is divided by 42?
41
Suppose -39 = -2*v - 29, 2*v - 118 = -4*k. Suppose -54 = -o + 55. Calculate the remainder when o is divided by k.
1
Let a(f) = f**2 - 45*f + 187. What is the remainder when a(4) is divided by 15?
8
Calculate the remainder when 2059 is divided by 51/(-1)*1*(-11 - 5 - -15).
19
Let l(x) = 5*x**2 - 224*x - 5768. Calculate the remainder when l(-29) is divided by 1232.
5
Suppose -17*f = -12*f - 3*r - 234, 23 = f - 4*r. Calculate the remainder when 247 is divided by f.
43
Suppose 35 = 5*r - 0*r. What is the remainder when 3 + (4 - -14) - 1 is divided by r?
6
Let v(q) = -364*q - 986. Calculate the remainder when 277 is divided by v(-3).
65
Let w be (-40)/8*(-51)/(-5). Let t = w + 54. Suppose 0 = -8*s - 133 + 493. Calculate the remainder when s is divided by t.
0
Let c = -1835 - -2434. What is the remainder when c is divided by 20?
19
Suppose -33*c - 25*c + 699 + 229 = 0. What is the remainder when 45 is divided by c?
13
Suppose -5*y - p - 3*p = 0, 3*y - 3*p - 27 = 0. Suppose i + 0*h = 2*h + 20, -16 = -y*h. What is the remainder when i is divided by 20?
8
Suppose 9*v - 4*v = 0. Suppose v = -a + 32 - 0. Calculate the remainder when 27576/226 + (-3414)/192891 is divided by a.
26
Suppose -5*m + 2342 = 257. Suppose -5*t + 4*z + 64 = 0, -10 = -t + 25*z - 27*z. Calculate the remainder when m is divided by t.
9
Calculate the remainder when 353 is divided by ((-16206)/292)/(36/16 + -3).
57
Suppose 5*j - 1287 = -2*o, -5*o = 35*j - 36*j - 3258. Calculate the remainder when o is divided by 20.
11
Let x(k) = -6*k**3 + 64*k**2 + 20*k + 78. What is the remainder when 144 is divided by x(11)?
32
Suppose x - 5*s - 41 + 9 = 0, -3*x = -s - 110. Suppose 3*n + 12 = 0, 3*n + 5 = -4*l + 69. What is the remainder when x is divided by l?
18
Suppose -h = 2*m - 1755, -24*m - 5*h = -25*m + 850. Suppose -28*y = -53*y + m. Suppose -2 = -w +