
1
Let c = -469 - -568. Calculate the remainder when c is divided by 10.
9
Let m(q) be the third derivative of 0 + 2*q**2 + 3/2*q**3 + 1/60*q**5 - 5/24*q**4 + 0*q. Calculate the remainder when m(6) is divided by 4.
3
Let a = 649 + -479. What is the remainder when a is divided by 31?
15
Suppose -5*g - 145 + 347 = 3*r, -r = -2*g - 71. Suppose -51 + 3 = -2*o. Calculate the remainder when r is divided by o.
21
Let k(b) = 6*b - 300. Calculate the remainder when k(53) is divided by 1.
0
Calculate the remainder when 233 is divided by (-57)/95 + 1192/20.
56
Suppose -4*h = -2*s - 2, 3*s + 2*h = 8*s - 11. Suppose 6*w - 4*w - 4 = 0. Suppose s*q - 70 = -w*q. What is the remainder when 55 is divided by q?
13
Suppose -7*a + 21 = -21. Calculate the remainder when 14 is divided by a.
2
Let l(p) be the second derivative of -p**3 + 21*p**2/2 + p. Let o be ((-7)/(-2))/(2/(-4)). What is the remainder when l(o) is divided by 11?
8
Let m = 0 + 1. Suppose -7*n - 20 = -17*n. What is the remainder when m/(0 + 1/7) is divided by n?
1
Let g(l) = -l**3 + 5*l**2 + 6*l - 7. Calculate the remainder when (1/((-9)/33))/(1/(-12)) is divided by g(5).
21
Let z(p) = p**3 + p**2 + p + 99. What is the remainder when z(0) is divided by 43?
13
What is the remainder when -4 + (-6616)/(-24) - (-12)/(-18) is divided by 68?
67
Let u be (22 - 1)*4/(-12). What is the remainder when 3 + u + 21 + 1 is divided by 5?
3
Let x be (0 - 6*-8)*(-6)/(-9). Suppose 0 = g + 25 - x. Calculate the remainder when 89 is divided by g.
5
Let r = 80 - 74. Suppose -r*f + 20 = -2*f. Calculate the remainder when 8 is divided by f.
3
Suppose -6*s + 1479 = 11*s. What is the remainder when s is divided by 24?
15
Suppose 26*z - 8722 = 12*z. Calculate the remainder when z is divided by 30.
23
Let u = 40 + -69. Calculate the remainder when (6 - u) + 4 + 0 is divided by 14.
11
Let k(p) = -3 - 10*p**2 - 3 - 2 + 11*p**2. What is the remainder when 111 is divided by k(4)?
7
Let t(f) = f**3 + 5*f**2 - 17*f + 1. What is the remainder when 31 is divided by t(-7)?
9
Calculate the remainder when 323 is divided by 18/(-9)*1*-9.
17
Suppose d - 6 = -2*d. Suppose -3*j + 76 + 45 = l, d*j = l - 101. Calculate the remainder when l is divided by 22.
21
Suppose -255 = -66*x + 49*x. Calculate the remainder when 297 is divided by x.
12
Suppose -3*m + 468 = 6*m. Calculate the remainder when 86 is divided by m.
34
Let g(i) = 5*i - 157. Calculate the remainder when 41 is divided by g(36).
18
Let d(k) = -k**3 + 4*k**2 + 3*k - 2. Let i be d(4). Suppose i*l = 14*l - 120. Suppose -g + 22 = -l. Calculate the remainder when g is divided by 18.
16
Let v(y) = -y**3 - y**2 + 7*y - 2. Calculate the remainder when v(-5) is divided by 32.
31
Let z(c) = -c**3 + 27*c**2 - 27*c + 52. Suppose 529 = 3*y + 154. What is the remainder when y is divided by z(26)?
21
Suppose l - 3*o - 137 = 0, -3*o = 14*l - 16*l + 265. Calculate the remainder when l is divided by 35.
23
Suppose 5 = 2*j - 1. Suppose -5*t = -25, -4*t - 37 = -j*q - 9. Suppose -2*i + 100 = -4*a, a - 45 = -i - 1. Calculate the remainder when i is divided by q.
14
Let x = 96 - -16. Calculate the remainder when x is divided by 36.
4
Let t(w) = 1. Let x(z) = 11*z - 13. Let h(f) = -4*t(f) + x(f). Calculate the remainder when h(6) is divided by 17.
15
Let t = 151 - 94. Let a = t + -9. Calculate the remainder when a is divided by ((-2142)/196 - -10)*-14.
9
Let s(d) = d**2 - 5*d - 6. Let p(c) = c**3 + c**2 - 4*c - 3. Let k be p(-4). Let b be (14/5)/((-14)/k). What is the remainder when 23 is divided by s(b)?
7
Suppose 0 = 60*r + 34 - 874. Calculate the remainder when 2015 is divided by r.
13
Suppose 0 = -g + 5*q + 31, -g - 3*q = -q - 45. Suppose 4*s - 78 = 2*k, g = 5*s + 4*k - 24. Calculate the remainder when 66 is divided by s.
15
Suppose 4*s - 5*s = -14. Suppose 2*m + 5*g + 11 = 5*m, 4*m - 3*g = 33. Suppose 0 = -3*l + m - 0. What is the remainder when s is divided by l?
2
Suppose b = -0*b - 56. Let i = b + 78. Calculate the remainder when 43 is divided by i.
21
Let k(a) = -a**3 + 21*a**2 + 2*a - 18. What is the remainder when 141 is divided by k(21)?
21
Suppose 7*a + 763 = 14*a. Calculate the remainder when a is divided by 29.
22
Suppose -c - 810 = -3*c. What is the remainder when c/10 + (2 - 1)/(-2) is divided by (-21)/2*4/(-3)?
12
Suppose -2*a + 3*y + 63 = 0, a + 4*y - 8*y - 44 = 0. Let t be 3/((-1)/(2/(-2))). Suppose -t*l = -108 - 33. Calculate the remainder when l is divided by a.
23
Let a = 14 - -1. Let f(n) = n**3 - 2*n**2 - 9. Let y be f(0). Let z = y - -15. What is the remainder when a is divided by z?
3
Let i(b) = b**2 + 2*b + 16. Calculate the remainder when i(-8) is divided by 13.
12
Let m = 34 - 30. Suppose m*n = 8*n - 160. Calculate the remainder when 317 is divided by n.
37
Let q(l) = 37*l**2 + l. Let g be q(1). Let b = g + -26. Calculate the remainder when (-5 - -2)*-1 + 66 is divided by b.
9
Let y = -26 - 1. What is the remainder when 19 is divided by 2/9*-1 - 303/y?
8
Let v be 596/3 + 1/3. Suppose 4*h = l + v, -5*l + 144 - 404 = -5*h. Calculate the remainder when (84/h)/((-2)/(-42)) is divided by 13.
10
Suppose 14*n = 19*n - 120. Calculate the remainder when 58 is divided by n.
10
Suppose -32 - 33 = -5*y + 2*x, -3*y + 13 = 4*x. Calculate the remainder when 29 is divided by y.
7
Let w = -20 - -33. Suppose -150*o = -147*o + 12. Calculate the remainder when w is divided by o/12 + (16/(-3))/(-1).
3
Let v(z) = 2*z + 387. Calculate the remainder when v(19) is divided by 107.
104
Let z(i) = 14*i - 207. Calculate the remainder when z(25) is divided by 24.
23
Let a(d) be the first derivative of d**4/2 - 4*d**3/3 - d**2/2 - 34. Suppose -2*r = -3*r + 3. Calculate the remainder when a(r) is divided by 4.
3
Suppose -4092 = -90*q + 24*q. Calculate the remainder when 367 is divided by q.
57
Suppose -31*y + 77*y = 4830. What is the remainder when y is divided by 15?
0
Suppose -3*u = -2*c + 38, 3*c - 92 = -c + 2*u. What is the remainder when (((-6)/(-5))/(-2))/(-3 - (-5497)/1840) is divided by c?
23
Suppose -8*z + 9*z - 3*r - 30 = 0, 2*r = 5*z - 163. What is the remainder when 132 is divided by z?
0
Calculate the remainder when 158 is divided by 150/(-5)*12/(-18).
18
What is the remainder when 116 is divided by 18/1 + 5*(7 + -8)?
12
Suppose -3*a + 7*a - 52 = -d, -2*d + 152 = -4*a. What is the remainder when d is divided by 30/(2/1) - (9 + -12)?
14
Suppose 0 = 5*z + 2*a + 3*a - 295, -3*z - 2*a + 180 = 0. Suppose 2 - z = -6*s. What is the remainder when s is divided by 4?
2
Let f = 270 - -231. Calculate the remainder when f is divided by 14.
11
Suppose -19 + 6 = -t. Suppose 3*o = -4*m + 40, 3 = -4*o - t. Calculate the remainder when 23 is divided by m.
10
What is the remainder when (-414)/3*4/(-4) is divided by 16?
10
Let q = -9 + 17. Suppose 0 = 17*l - 19*l + 90. What is the remainder when l is divided by q?
5
Suppose 5*d + 2*q + 100 = 0, -3*q - 47 = d - 8*q. Let j = d + 24. Suppose -j*o + 65 = -63. What is the remainder when o is divided by 11?
9
Calculate the remainder when 230 is divided by 41 - 35 - (-2 - -4 - 58).
44
Let x be (-6)/14 + (-51)/(-21) + -6. Let p(r) = -r**3 - 2*r**2 + r + 2. Let z be p(-3). What is the remainder when 11 is divided by -6*x/z*2?
5
Let m be 2 - 9/((-36)/8). What is the remainder when ((-1788)/9)/(-4) + m/(-6) is divided by 26?
23
Let t = 15 + -32. Let d = 22 + t. Calculate the remainder when 19 is divided by d.
4
Let m = 847 + -813. Calculate the remainder when 62 is divided by m.
28
Suppose 4*o - 108 = -3*t, 4*o + 5*t - 110 - 6 = 0. Suppose 20 = 188*w - 184*w. What is the remainder when o is divided by w?
4
Let t = -23 + 97. Suppose 2*i = t + 82. Suppose 4*r = -3*u + i, u - 40 = -r - r. Calculate the remainder when r is divided by 11.
10
Let f = -361 - -390. What is the remainder when 130 is divided by f?
14
Let j = 3 - 2. What is the remainder when 132 is divided by (9*j)/((-7)/(-21))?
24
Let z(h) = h**3 + 5*h**2 - 2*h. Let k be z(-5). Let q(v) = 5*v - 1. Let t = -319 + 332. What is the remainder when q(k) is divided by t?
10
Calculate the remainder when 67 is divided by (-84 + 39)/(3/(-2) + 0).
7
Suppose 0 = -8*h + 5*h + 12. Suppose h*z - 2*z = 24. What is the remainder when 22 is divided by z?
10
Let b be ((-4)/2 - -3)*-3. Let v(u) = 4*u**2 + u. Let o = 4028 + -4021