at is the remainder when j is divided by t?
9
Suppose 2*f - 4*c = -3*c - 10, 4*c = -8. Let j be f/12 - 447/(-2). Suppose 4*g - 571 = -j. What is the remainder when g is divided by 22?
21
Suppose 3*u + 78 = -161*m + 162*m, -17*m + 1185 = -4*u. Suppose 0 = -2*o + 34 + 4. Calculate the remainder when m is divided by o.
12
Let p be ((-50)/(-3) - 0)/(14/21). Suppose 6*f + 1 = p. Suppose 3*i - 5*a - 57 = 0, -i - f*a = i - 60. Calculate the remainder when 47 is divided by i.
23
Let a(j) be the third derivative of j**5/60 + j**4/12 - j**3/3 - j**2. Let y = 1921260 - 1921253. What is the remainder when a(-5) is divided by y?
6
Calculate the remainder when 3326 is divided by (-37664)/(-192) - ((-2)/(-10))/(66/55).
190
Let k = 107 - 91. Suppose 4 = 3*m + 5*b, -12 = -m + 5*b + k. Calculate the remainder when 31 is divided by m.
7
Suppose -21 - 19 = -20*q. Suppose y = -o + 37, y - 2*o = -q*y + 126. What is the remainder when (-1570)/(-15)*(-3)/(-2) is divided by y?
37
Let d = 130 - -187. Suppose 1441 = 2*y - 5*t + d, 4*t = 3*y - 1693. Calculate the remainder when y is divided by 15.
12
Let b(a) = a**2 - 18*a - 303. Calculate the remainder when 197 is divided by b(31).
97
Let o be 2/7 - (-3 - 636/28). Let x(q) = -6*q + 23. Let g be x(6). Let w = g + o. Calculate the remainder when 62 is divided by w.
10
Suppose 87*c = 88*c - 146. Let l = 99 + c. Suppose 18*p + l = 23*p. Calculate the remainder when 146 is divided by p.
48
Let y be 9 + 3/(-7 - -4). Suppose 2*d + 5*v - 52 = 0, y*v - 3*v = 2*d - 12. Suppose -11*g = -d*g + 330. Calculate the remainder when g is divided by 8.
2
Let g(u) = u**2 - 33*u - 1217. Calculate the remainder when 1622 is divided by g(-25).
224
Let o = 343 + -451. Let w = o + 667. What is the remainder when w is divided by 70?
69
Let p(i) = -9 - i**2 + 4*i - 2*i + 5*i. Let a be p(5). Let v = 30 - a. What is the remainder when v is divided by 16?
13
Let b(a) = a**3 + 21*a**2 - 20*a + 48. Let k = -735 - -713. Calculate the remainder when 68 is divided by b(k).
0
Let t(q) = -q**2 + 239*q + 2766. Calculate the remainder when 1079 is divided by t(-11).
7
Suppose -5*f + 55 = -0*f. Let y = 406 + -200. What is the remainder when y is divided by f?
8
Let i = -12 + 69. Suppose 4*r + i = 1. Calculate the remainder when 134 is divided by (21/r)/(2/(-36)).
26
Suppose -1445 - 2427 = -11*u - 21*u. What is the remainder when 360 is divided by u?
118
Let p = -10072 - -10088. Suppose -3616 - 1646 = -6*a. What is the remainder when a is divided by p?
13
Suppose -2*o - 4*u = -2238, 217*o - 4*u = 215*o + 2270. What is the remainder when o is divided by 29?
25
Suppose -b - 2*p = -5*b, -3*p + 6 = 0. Calculate the remainder when 180/(30/6) + b is divided by 8.
5
Let x(j) = -82*j - 25. Let g be x(-1). Suppose -62*o + g*o = -235. What is the remainder when 221 is divided by o?
33
Suppose 4244 + 932 = 4*a + 4*i, -5*a = 4*i - 6475. Suppose -14*p + a = -59. What is the remainder when p is divided by 25?
22
Suppose 5*c = -17 + 1382. Suppose -8 = -4*p, u + 4*p - c = 364. Calculate the remainder when u is divided by 90.
89
Let i(m) = -4*m - 20. Let z be i(-8). Let s = 18 + z. Suppose -s = -23*w + 17*w. Calculate the remainder when 11 is divided by w.
1
Let v(y) = 160*y**3 - y**2 - y + 1. Let b be -14 - -20 - (3 - -2). Calculate the remainder when v(b) is divided by (-320)/(-18) + (-2)/(-9).
15
Let u(q) = -q**3 - 12*q**2 - 25*q + 18. Let b be u(-9). Let x be 69 + 1 - 0/(-3). Suppose 5*y - x = -b*y. What is the remainder when 40 is divided by y?
12
Suppose 0 = -1095*c + 1165*c - 9800. Suppose 2*s + 111 = 5*s. Calculate the remainder when c is divided by s.
29
Let l(w) = -w + 213. What is the remainder when 3145 is divided by l(63)?
145
Suppose 0 = 79*z - 78*z - 11. What is the remainder when (15 - (-8)/2) + -2 is divided by z?
6
Let n = 11065 + -7673. Suppose n = 24*f - 8*f. What is the remainder when f is divided by 43?
40
Let l(v) = 3*v**3 + 29*v**2 + 13*v - 43. Suppose 4*z - 12 = g, 0 = -14*g + 9*g - 5*z - 35. Calculate the remainder when l(g) is divided by (1 - -3)*(6 - 2).
13
Let h = 13895 + -13789. What is the remainder when 7948 is divided by h?
104
Let g = -578 + 590. Calculate the remainder when 551 is divided by g.
11
Suppose 3*z - 908 = 5*b + 21, b - 615 = -2*z. Calculate the remainder when 2160 is divided by z.
4
Suppose -148*k - 51*k + 14*k + 2405 = 0. Calculate the remainder when 1558/4 + (-12)/8 is divided by k.
11
Let k(p) = -p**3 - 8*p**2 - 7*p + 10. Suppose -2*x = 2*t - 150, -3*t = -5*x - 1524 + 1291. Calculate the remainder when t is divided by k(-7).
6
Suppose 5*z + 3*j + 325 - 583 = 0, 3*j + 252 = 5*z. Suppose -47 = b - 1. Let t = z + b. What is the remainder when 21 is divided by t?
1
Let l = -184 + 1641. What is the remainder when l is divided by 18?
17
Calculate the remainder when (2/7 - 30/7)*(-255476)/2312 is divided by 49.
1
Let r = -2631 - -2671. What is the remainder when r is divided by 6?
4
Let u be -4 + -4 + 14 + -3. Calculate the remainder when ((-1)/(-2) + u)*1104/42 is divided by 33.
26
Suppose -293*u + 748 = -282*u. Suppose -u = 3*i - 86. What is the remainder when 7 is divided by i?
1
Let h = -114 - -129. Suppose -7*c + h*c = 152. What is the remainder when 111 is divided by c?
16
Let t(v) = -2*v**3 + 8*v**2 - v - 3. Let a be t(3). Suppose -a*f = -11*f - 66. What is the remainder when f is divided by 18?
12
Let j = -9765 - -10702. What is the remainder when j is divided by 260?
157
Let c(n) = -8*n**2 + 5*n - 2. Let f be c(-5). Let q = 333 + f. Calculate the remainder when q is divided by 29.
19
Suppose -78*m + 98*m = 7360. What is the remainder when m is divided by 10?
8
Let y(j) = 3*j**2 - 63*j + 45. Suppose 17 = c - 4*p + 3*p, 4*p = -3*c + 79. Calculate the remainder when 154 is divided by y(c).
19
Suppose -84*f + 99*f - 90 = 390. Calculate the remainder when 511 is divided by f.
31
Let m(n) = -36*n - 8. Let h be m(-7). Suppose 375 + 373 = 11*w. Suppose 4*z + w = h. Calculate the remainder when z is divided by 12.
8
Let i be (-48)/(-312) - (-24)/13. Suppose 5*w = -3*q + 118, -i*q + w - 67 = -4*q. What is the remainder when 54 is divided by q?
23
Suppose -214*a - 6009 = -110869. Calculate the remainder when a is divided by 128.
106
Let y = -46 + 108. Let k = y - 58. What is the remainder when k is divided by -57*3/(-63) - 4/(-14)?
1
Let b(k) = -972*k + 95. Calculate the remainder when b(-1) is divided by 67.
62
Calculate the remainder when 1*1075 - (9 + (-13)/((-143)/(-110))) is divided by 11.
9
What is the remainder when 1 - -306 - (-8 + 8/(-24)*-33) is divided by 22?
18
Suppose 0 = 427*x - 401*x - 780. What is the remainder when 2426 is divided by x?
26
Let s = 398 + -393. Suppose -s*q + 972 = -943. Calculate the remainder when q is divided by 43.
39
Let k = 58 - 61. Let y be 18 - ((-32)/(-24) + 4/k). Suppose 56 = 22*b - y*b. Calculate the remainder when 53 is divided by b.
11
Let s be -98*(-1 - 1/2). Let z be -59 - (304/190)/((-4)/(-10)). Calculate the remainder when z/s - (-1 - 48/14) is divided by 3.
1
Suppose -3*a = -5*n + 20, -3*n = -4*a + 1 - 2. Suppose n*d - 63 = 4*d. Calculate the remainder when 39 is divided by d.
18
Suppose -i + 2*d + 14 + 21 = 0, 4*i - 146 = 2*d. Let m(h) = 5*h**3 - 4*h**3 + 0*h + 2*h + 5 - 4*h**2. Calculate the remainder when i is divided by m(4).
11
Let y be 1*(-7 + 1)*(5 - 2). Suppose -3*i = -12*i + 1413. What is the remainder when i is divided by (-4)/(-18) - (572/y - 0)?
29
What is the remainder when (-28030)/(-15) + 399/171 is divided by 77?
23
What is the remainder when 245 is divided by (-4)/((-12)/201) + (21/3 - 10)?
53
Let k = -4608 + 4657. What is the remainder when 67 is divided by k?
18
Let d = 31 + 33. Suppose 0 = -0*c + 4*c + 5*l - 63, 4*c = -4*l + d. Let u = 196 + -130. Calculate the remainder when u is divided by c.
15
Let f(h) = h**3 + 2*h**2 + h + 164. Suppose 2*j = 7*j + v - 167, 4*v - 90 = -3*j. What is the remainder when f(0) is divided by j?
28
Let l(s) = 6*s**2 + 37*s - 143. Calculate the remainder when 74 is divided by l(3).
8
Suppose -29*n - 24*n = -6160 - 16736. Calculate the remainder when n is divided by 39.
3
Suppose 2*a - 182 - 212 = 4*d, -2*a - d = -409. Calculate the remainder when 617 is divided by a.
8
Suppose -2*v + 2*g = -2152, -74*v + 2134 = -72*v + 4*g. What is t