t a = 487 + -1123. Let x = a + 647. Calculate the remainder when 12 is divided by x.
1
Calculate the remainder when (11/(484/(-99)))/((-3)/660) is divided by 12.
3
Suppose -2*i - 3*m + 21 = 0, 5*m + 67 = 4*i + 14. Calculate the remainder when 2359 is divided by i.
7
Suppose -3*j = 21, 2*q + 80*j - 78*j = 102. Let t = -1 + 6. Let z(s) = s**3 - 5*s**2 + 3*s + 5. What is the remainder when q is divided by z(t)?
18
Let x(z) = z**2 - 7*z - 21. Suppose 2*a - 3 = -15. Let k(f) = -8*f - 24. What is the remainder when k(a) is divided by x(10)?
6
Suppose -s + 115 = r, -13*r + 17*r - 4*s - 428 = 0. Calculate the remainder when 381 is divided by r.
48
Let c = -1919 + 2010. Let j(m) = 5*m**2 - m + 5. Let s be j(3). Let d = s - 24. What is the remainder when c is divided by d?
22
Suppose a - 4*h - 30 = 0, 3*h - 18 = -3*a + 27. What is the remainder when 7973 is divided by a?
17
Let o = 547822 + -547812. Let l(k) be the third derivative of -k**4/4 - k**3/2 - k**2. Calculate the remainder when l(-5) is divided by o.
7
Suppose -v + 571 = 3*s, 3*v + 347 + 628 = 5*s. What is the remainder when s is divided by 2/10 + 648/10?
62
Suppose -131*s + 101536 = 21*s. Calculate the remainder when s is divided by 111.
2
Let w = -24555 + 24598. What is the remainder when 209 is divided by w?
37
Let t = -188 - -118. Let j = t + 135. Suppose x - 6*x = -j. Calculate the remainder when x is divided by 8.
5
Let j(a) = 5*a**3 + 25*a**2 - 99*a + 21. What is the remainder when j(4) is divided by 6?
3
Suppose 1252*n - 1269*n + 3094 = 0. What is the remainder when n is divided by 62?
58
Calculate the remainder when 2855 is divided by (((-204)/8)/3)/(15/(-240)).
135
Suppose 341*f + 106 = 4*j + 344*f, 4*j = 5*f + 122. Let x(u) = u**3 + 5*u**2 + 2*u + 5. Calculate the remainder when j is divided by x(-4).
2
Let l(i) = 989*i - 9. Let h be l(7). Suppose -h = -16*x - 770. Calculate the remainder when x is divided by 77.
76
Suppose -2*g + 19 + 31 = 0. Suppose u = 6*u - g. Calculate the remainder when (-2009)/(-42) + (7/6 - 1) is divided by u.
3
Let q = -26402 + 26412. What is the remainder when 3447 is divided by q?
7
Let t(y) = y**3 + 14*y**2 + 36*y - 13. Calculate the remainder when t(-10) is divided by (12/(-36))/((-3)/27).
0
Let m = 5896 + 2835. Calculate the remainder when m is divided by 37.
36
Suppose 6*q + x = 255, 2*q + 10*x - 71 = 5*x. What is the remainder when 80 is divided by q?
37
Let c(l) = 9 + l**2 + 6 + 0*l + 60 + 0 - 20*l. What is the remainder when 357 is divided by c(17)?
21
Suppose 49*i - 8*i = 533. Calculate the remainder when 48 is divided by i.
9
Suppose 12130 + 10122 = 56*l - 4572. Calculate the remainder when 1483 is divided by l.
46
Let d = -21652 - -21970. What is the remainder when d is divided by 45?
3
Let r(z) = z**2 - z - 2. Let c be r(0). Let p be (-1)/(-9*(-5)/180). What is the remainder when 14 is divided by (c - p)*(9 + -1 + -5)?
2
Suppose 0 = 260*v - 95*v + 209*v - 35530. Calculate the remainder when 6646 is divided by v.
91
Suppose -61 = -13*r - 22. Suppose 5*f + 187 = 3*m, -m + 40 = r*f + 1. What is the remainder when m is divided by 14?
12
Let g(o) = 3*o - 81. Let h be g(32). Let q(n) = n**2 + 3*n - 131. What is the remainder when q(h) is divided by 13?
9
Suppose -4*l = -5*f - 274, 0*f = f + 3*l + 51. Let a = f - -90. Calculate the remainder when 87 is divided by a.
15
Suppose 148 = 2*c + 2*c. Let t(b) = -7 + 0*b + b + 8. What is the remainder when c is divided by t(7)?
5
Suppose 2*a + 5*n - 48 = -2*a, 4*a - 2*n - 76 = 0. What is the remainder when a is divided by 4?
1
Let i(p) = 35*p - 102. Let k be i(16). Let x = 504 - k. What is the remainder when 275 is divided by x?
45
Calculate the remainder when 3875 is divided by 18/135 - (-6816)/180.
37
Suppose -3*h + 15 = 0, -5*g - 341 = -7*g - 3*h. Let f = g + -96. Calculate the remainder when f is divided by 29.
9
Let b(h) = -2*h**3 + 75*h**2 + 144*h - 4794. Calculate the remainder when b(37) is divided by 172.
11
Let b(f) = -2*f**3 + 6*f**2 - 7*f + 1. Let y be b(5). Let u = y - -171. What is the remainder when 147 is divided by u?
36
Suppose -3*k - 15 = 0, 0 = -4*a + 5*a - 2*k - 12. Suppose a*i = -5*q + 73, -9*q + 7*q = 5*i - 25. Calculate the remainder when 224 is divided by q.
14
Suppose -2*p - 2*t = -3*t + 13, 0 = -3*p - 2*t - 9. Let q = p - -40. Calculate the remainder when 278 is divided by q.
33
Suppose -7*w + 25387 = 16889. What is the remainder when w is divided by 26?
18
Let s(u) = -u**2 - 68*u - 395. What is the remainder when s(-23) is divided by 107?
105
What is the remainder when 3310 is divided by ((-1302)/(-1176) + 1/(-4))/(8/112)?
10
Let u(z) = -27*z**3 - 29*z**2 - 30*z - 3. What is the remainder when u(-1) is divided by -1*1*(-17 + 1)?
9
Suppose -2*v - 2*q = -474, 4*v = 11*q - 8*q + 941. Calculate the remainder when v is divided by 18.
2
Suppose 7 = 2*m + 1. Suppose -8*g = -m*g - 275. What is the remainder when g is divided by -15*4/(-16)*4?
10
Suppose -82*w + 225*w - 4264 = -185*w. Calculate the remainder when 108 is divided by w.
4
What is the remainder when 2427 is divided by 1041660/864 - (-3)/8?
15
Let j(f) = -120 + 62 - 2*f - 4*f**2 + 5*f**2 - f. What is the remainder when 125 is divided by j(-7)?
5
Let p(t) = 37*t**3 + 645*t**2 - 27*t + 59. What is the remainder when p(-16) is divided by 37?
36
Suppose 2*o - 6 = 0, -4*o + 16 - 412 = -i. Calculate the remainder when i is divided by 23.
17
Suppose -150*l + 4781 = -590419. What is the remainder when l is divided by 1322?
2
Suppose a - 3*c - 41 = 0, 2*a + 22 = 3*c + 104. Calculate the remainder when (-2)/(-4) - (-1173)/6 is divided by a.
32
Let w(h) = -2*h**3 - 202*h**2 - 203*h + 39. Calculate the remainder when 804 is divided by w(-100).
126
Suppose 4*y = 359 - 27. Suppose 3*c + 295 = 5*b, 4*b = -c - 4*c + 236. Let x = -31 + b. Calculate the remainder when y is divided by x.
27
Let w = -450 + 934. Suppose -22 = 11*m - w. What is the remainder when 121 is divided by m?
37
Suppose 12 = -l + 29. Calculate the remainder when (-86)/129 - 125/(-3) is divided by l.
7
What is the remainder when 111 is divided by (-4)/(0 + 16/(-24))?
3
Suppose 1346*c + 13530 = 1511*c. Suppose -6 = -2*g, -4*g - g - 133 = -2*o. Calculate the remainder when c is divided by o.
8
Let z = -347957 - -348028. What is the remainder when z is divided by (-3)/9 - (-92)/6?
11
Let f = 1 - -1. Let q(j) = 2*j**2 - 33*j + 8. Let s be q(17). Suppose 3*n - s = f*n. Calculate the remainder when 148 is divided by n.
23
Suppose 25634 = 278*f - 79728. What is the remainder when f is divided by 146?
87
Suppose 0 = 87*k - 91*k + 4. Let c be (-335)/20*k/(1/(-4)). Let d = c - 56. What is the remainder when 19 is divided by d?
8
Let u(i) = i**2 + i + 6. Let z be u(0). Suppose -6*g - z = -42. Let h(r) = r**2 - 3*r + 3. What is the remainder when 39 is divided by h(g)?
18
Let n = 214 + -176. Let k be (-3 - 0)/(6/(-10)). Suppose 5*r - k*x + 0*x - 545 = 0, -r + 105 = -5*x. Calculate the remainder when r is divided by n.
34
Suppose 4*a = 28 + 4. Suppose -5*w + a = -2. Suppose 90 = w*i - 2*p - p, -2*p - 90 = -2*i. Calculate the remainder when i is divided by 16.
13
Let p(f) = 27*f**2 + 34*f + 68. What is the remainder when 635 is divided by p(-3)?
8
Let t(k) = -k**3 + 11*k**2 - k + 2. Let c be t(11). Let l = -6 - c. Suppose 0 = 3*v + 420 - 438. What is the remainder when v is divided by l?
0
Suppose -4*z = -l + 36 + 85, 2 = z. Calculate the remainder when l is divided by 12.
9
Let k(g) = g**3 + 12*g**2 + 44*g + 27. Let c be k(-10). Let y = c - -222. Calculate the remainder when (-3)/(-9) + 50/3 is divided by y.
8
Let j(z) = z**3 + 4*z**2 - 8. Let m be j(4). Suppose -9*s - m = -15*s. What is the remainder when 52 is divided by s?
12
Suppose 12 = -3*u - 3*m - m, -2*u = -5*m - 15. Suppose u*y = -4*y + 32. Calculate the remainder when 12 is divided by 2/((-4)/y*-1).
0
Let z(j) = 7*j**2 - 9*j + 5. Let v = -286 + 289. Calculate the remainder when 116 is divided by z(v).
34
Let o be 754/130 - (-2)/10. Suppose f - 8*d + o*d = 288, 2*d = -3*f + 888. What is the remainder when f is divided by 27?
24
Suppose -2*r = -2*d + 40, 3*d - 4*r + 25 - 80 = 0. What is the remainder when 1138 is divided by d?
13
Suppose -5*h + 192 + 28 = 0. Let y = 910 + -1684. Let j = 992 + y. What is the remainder when j is