23 is divided by 44 + (8 - (-16 + 27)).
36
Suppose -8*s - 2 = -34. Suppose 586 + 34 = s*d. Suppose d + 457 = 9*u. Calculate the remainder when u is divided by 18.
14
Let y = -2906 + 3067. What is the remainder when 164 is divided by y?
3
Let c = 104 + -99. Suppose 142 = c*b + 2. Calculate the remainder when b is divided by 4.
0
Let m(x) = -3*x**3 + 3078*x**2 + 13*x + 33 - 3065*x**2 + 2*x**3. Let w(u) = u**3 - 8*u**2 + 9*u - 6. What is the remainder when m(14) is divided by w(7)?
3
Let v(h) be the first derivative of -h**4/4 - 10*h**3/3 + 7*h**2 - 9*h + 3. Let t be v(-11). Calculate the remainder when 7/t - 1586/(-12) is divided by 27.
24
Let o be 1 + (-1 - (-59 - 1)). Calculate the remainder when 30 is divided by -8*(-18)/o*5.
6
Let y = 4202 + -3783. What is the remainder when y is divided by 17?
11
Let i(d) be the third derivative of 13/3*d**3 + 0*d + 0 - 11/24*d**4 - 36*d**2 + 1/60*d**5. Calculate the remainder when i(14) is divided by 24.
20
Suppose -75*f + 1150 = -123*f + 94*f. Calculate the remainder when 920 is divided by f.
20
Let u(s) = 3*s**3 - 8*s**2 + 2*s - 16. Let t(i) = -42*i - 531. Calculate the remainder when u(6) is divided by t(-13).
11
Let t = 12 + 1. Let d(y) = y**3 - 80*y**2 + 20*y - 1486. Calculate the remainder when d(80) is divided by t.
10
Let v = -3923 - -3959. What is the remainder when v is divided by 4?
0
Suppose 0 = -2*u + 88 + 34. Suppose -5*b - 4*x = -1199, -153*b + 2*x = -155*b + 478. Calculate the remainder when b is divided by u.
60
Suppose 0 = -3*k - 3*l + 522, 5*k - 66 = 3*l + 836. What is the remainder when k is divided by 163?
15
Let b(m) = 157*m**2 + 65*m - 28. What is the remainder when b(-4) is divided by 738?
10
Suppose 3*g = -3*x + 1956, -5*g = -16*x + 15*x + 646. Let t = -610 + x. Suppose 0 = -5*f - 0*f + 815. Calculate the remainder when f is divided by t.
40
Let o(v) = 3*v**2 - 78*v - 394. Calculate the remainder when 149 is divided by o(-5).
7
Let y = 45730 + -5914. What is the remainder when y is divided by 22?
18
Let q(u) = u**3 - 15*u**2 - 11*u + 12. Let p(r) = r + 25. Let y be p(-9). Let z be q(y). Let t = z + -81. What is the remainder when 49 is divided by t?
5
Let i(p) = 9*p**3 - 4*p**2 - 4*p. Let k(h) = h**2 + 46*h + 149. Calculate the remainder when i(4) is divided by k(-43).
16
Let k(v) = 10*v**2 - 2*v - 2. Let q be k(-3). Suppose 3*j + 3*h = -99, -5*j = -5*h + 6*h + 189. Let b = q + j. Calculate the remainder when b is divided by 21.
13
Suppose -901*p + 494 = -5813. Suppose -z + 4*z + 3*h = 507, 499 = 3*z - h. Calculate the remainder when z is divided by p.
6
Suppose -4*g - 2*x - 875 = -15563, -14652 = -4*g + 7*x. Calculate the remainder when g is divided by 14.
2
Suppose -u = h - 192, 5*h + u = 447 + 525. Suppose 2*k - h + 17 = 0. Suppose 3*j - 67 - 26 = 0. Calculate the remainder when k is divided by j.
27
Suppose -5*h = 2*n - 96, -7*n - 2*h + 105 = -355. What is the remainder when n is divided by 37?
31
Suppose -3*i = -18 + 15. What is the remainder when -2 - ((-111)/4 - 1/4) is divided by (-27)/2*i*(-96)/144?
8
Let j be 2 + -2 + -4*2. Let s(c) = c**2 + 6*c + 8. Suppose 55*w - 15*w = -28*w + 1088. Calculate the remainder when s(j) is divided by w.
8
Suppose -12*s - 1 + 37 = 0. Suppose 0 = -5*d + 4*z + 476, 5 = 2*z + s*z. Let m = d + -76. Calculate the remainder when 59 is divided by m.
19
Let f = 377 - 381. Calculate the remainder when (-13376)/(-66) - f/(-6) is divided by 16.
10
Let t be (2/4)/((-5)/(9 + 1)). Calculate the remainder when 299 is divided by 17/(34/(-100))*t.
49
Let s be (-139)/7 - (-4)/(-28). Let w = -1 + s. Calculate the remainder when w/(-35) + (-696)/(-15) is divided by 25.
22
Calculate the remainder when (-22)/((-12 - -11)*(-4)/(-6)) is divided by 3*(-1)/3 + 22.
12
Let f(i) = 8*i**2 + 91*i - 378. Calculate the remainder when f(4) is divided by 31.
21
Suppose 18*q + 857 = -3679. What is the remainder when 195 is divided by 4/9 - 6188/q?
20
Let x be (-228)/(-152) + (331/2)/(-1). Let z = x + 241. What is the remainder when z is divided by 32?
13
Suppose 7 = 2*n - 175. Let l = -40 - -57. Let a = -1 + l. What is the remainder when n is divided by a?
11
Let i(g) = 170*g - 74. Suppose 19*b = -72 + 129. What is the remainder when i(b) is divided by 19?
18
Let n(i) = 2*i - 16. Let q be n(10). Let w = 7 + 5. What is the remainder when w is divided by 4 + q/(-6) + (-4)/(-6)?
0
Let i = 39 - 22. Let l be 2 + (60/(-105) - (-1768)/7). Suppose -l = -8*c - 14. Calculate the remainder when c is divided by i.
13
Suppose 5*g - o + 3 = 244, 5*o = -5. Suppose -g = -r - 51. Let y = r - -26. Calculate the remainder when y is divided by 14.
9
Let z(m) be the first derivative of 10*m**3/3 + m**2 - 3*m + 3. Calculate the remainder when z(3) is divided by (-671 + 647)/(0 + 6/(-4)).
13
Suppose a - 330 = -13*k + 9*k, 1800 = 5*a - 5*k. Calculate the remainder when a is divided by 227.
127
Let j = 2 - -12. Suppose -j*p = -9*p - 30. Let l(c) = -4*c + 1. What is the remainder when l(-2) is divided by p?
3
Let f(r) = r**2 + 377*r + 1874. What is the remainder when 6563 is divided by f(-5)?
11
Let q = -42 - -40. Let h be (3/q)/(8/32). Let b = h + 11. Calculate the remainder when 28 is divided by b.
3
Let t(w) = w**2 - 8*w + 16. Let z be t(10). Let i be 5*(z/20 - 2 - -3). Let x = i + 2. Calculate the remainder when 30 is divided by x.
14
Let b = 3 + -3. Suppose 3*f + 2*f - 40 = b. What is the remainder when -2 + (17 - (-5 - 2)) is divided by f?
6
Calculate the remainder when 255 is divided by (-7)/(-14)*179*(-12 - -14).
76
Let l = 2956 - 2926. Calculate the remainder when l is divided by 19.
11
Suppose -l - 4*l = 3*i + 1795, -2 = l. Let q = i + 1062. Calculate the remainder when q is divided by 47.
44
What is the remainder when (-4038)/(-16) - 22/(1760/30) is divided by 99?
54
Suppose 72 - 302 = 10*m. Suppose 4*s + 3*x = 2*s + 87, -x = 5*s - 185. Let k = s + m. What is the remainder when 62 is divided by k?
10
Suppose 3851 = 122*a + 744 + 57. Calculate the remainder when 196 is divided by a.
21
Let k be 7/(31 + -3)*0. Suppose 2*q - 37*q + 2870 = k. Calculate the remainder when 161 is divided by q.
79
Let f(a) = 67*a - 20. Let b be f(-2). Calculate the remainder when 75 is divided by (20/14)/((11/b)/(-1)).
15
What is the remainder when 130/1 - (-8 - 13 - -22) is divided by (-30)/(2 + 4) - -78?
56
Let k = 1714 - 1695. Let j = 97 + -79. What is the remainder when k is divided by j?
1
Let a = -13216 - -13323. What is the remainder when 234 is divided by a?
20
Calculate the remainder when 134 is divided by 15 + 48 + -11 + -14.
20
Let v(d) = 4*d**2 + 45*d + 149. Let j(h) = 2*h - 9. Let k be j(3). What is the remainder when v(-9) is divided by k + 4 - -15 - 2?
12
Let j = 1492 - 1423. What is the remainder when j is divided by 33?
3
Let v(t) = -t**2 + 26. What is the remainder when 487 is divided by v(-4)?
7
Let a(t) = -23*t - 1702. Calculate the remainder when a(-95) is divided by 159.
6
Let f be 64/(-32) + 180/(-1 - -3). Suppose f*n - 609 = 81*n. What is the remainder when n is divided by 22?
21
Let t be (-3)/27*-47 + 4/(-18). Suppose 5*r - 10*r + 153 = -3*y, -5 = t*y. What is the remainder when 58 is divided by r?
28
Let r = 187 - -106. What is the remainder when r is divided by (-1799)/(-49) + (-8)/(-28)?
34
Suppose -55 = -18*m - m + 1047. What is the remainder when 580 is divided by m?
0
Let f(l) = 165*l - 337*l + 43*l**3 + 165*l + 5 + 2*l**2. What is the remainder when f(1) is divided by 13?
4
Let t(l) = l**3 + 2*l**2 - 4*l. Let m be t(-3). Let u(s) = 107 - 3*s + 9*s + 2*s - 94. What is the remainder when u(m) is divided by 14?
9
Let x = 711 + -690. Suppose 2*g + 2*o - 100 = 0, 2*g + 2*g = 4*o + 208. What is the remainder when g is divided by x?
9
Suppose -3*s + 6*l + 8340 = s, 5*l = -2*s + 4186. What is the remainder when s is divided by 10?
8
Suppose 641 = 7*i + 18*i + 41. What is the remainder when 827 is divided by i?
11
Let h(r) = -112*r - 462. Let n be h(-5). Let a be (-4)/(-14) + (-1564)/(-14). Let d = a - n. What is the remainder when d is divided by 4?
2
Suppose 107 - 85 = 2*l. What is the remainder when 1572 is divided by l?
10
Suppose -332*t + 322*t = -1100. What is the remainder when 524 is divided by t?
84
Suppose 6*u = 9*u - 129. Suppose -u = -3*n + 20. Calculate the remainder when 2