- 5)*-38.
18
Let t(g) = -6*g**3 + 6*g**2 + 33*g - 11. Calculate the remainder when t(-4) is divided by 109.
10
Let r(z) = 160*z**2 - 1. Let t be r(-1). Let o(v) = v**2 + 10*v - 8. Let i be o(-11). Suppose 6 = i*h - t. Calculate the remainder when h is divided by 14.
13
Suppose -3*j - 5*k = 40, -3*k = 2*j - 14 + 40. Let r = j + 14. Calculate the remainder when 4 is divided by r + (4 - 1) - 4.
1
Suppose -3*q - 23 = 2*f + 33, 2*q - 5*f = -12. Let t = -28 + -13. Let l = q - t. Calculate the remainder when l is divided by 13.
12
Suppose -b + 3*b + 209 = 3*m, -4*b - 83 = -m. Calculate the remainder when 125 is divided by m.
58
Let a be 18*((-8)/(-6) + 0/2). Let m = -10 + a. Calculate the remainder when 38 is divided by m.
10
Let h = 164 + -27. Let q = -98 + h. Let f = 105 + -95. Calculate the remainder when q is divided by f.
9
Let f(d) = 3*d - 7. Let a be (-5)/1*(-3)/5. Let j = 26 - 23. What is the remainder when j is divided by f(a)?
1
Let k be -5*((-151)/(-5) + -1). Let m be k/(-3) - (-9)/27. Suppose -98 = -3*l + m. What is the remainder when l is divided by 17?
15
Suppose -14*l = -3*s - 15*l + 647, 3*s + 4*l = 635. What is the remainder when s is divided by 37?
32
Let q(s) = -7*s + 193. What is the remainder when 213 is divided by q(23)?
21
Let r(n) = 70*n**2 + n - 2. Let l(p) = p + 24. Calculate the remainder when r(1) is divided by l(0).
21
Let b(h) = -h**3 - 4*h**2 - 2*h - 4. What is the remainder when 4 - -2 - (8 - 61) is divided by b(-5)?
28
Suppose 3*v - 3 = 6*v. Let j = v - -8. Suppose 0 = q + 2 - j. Calculate the remainder when 19 is divided by q.
4
Suppose -4*l = -3*b + 206, -3*l - 3*b = -l + 94. Let y be ((-6)/10)/((-10)/l). Calculate the remainder when 14 is divided by 2 - 1*y/1.
4
Let p be 2*-1*(0 - -1). Let y = 12 + p. Calculate the remainder when y is divided by 7.
3
Let p(j) = 35*j + 332. What is the remainder when 439 is divided by p(-9)?
14
Let o be (-20)/(-170) - 132/(-34). Calculate the remainder when o/((-4)/(-33))*1 is divided by 17.
16
Calculate the remainder when ((-2)/(-4 - -2) - -913) + -5 is divided by 48.
45
Suppose 0 = -3*o + z + 534, 4*z - 204 - 138 = -2*o. Suppose -46*g + 40*g + 360 = 0. What is the remainder when o is divided by g?
57
Let y be 4*3*(-12)/(-16). Suppose -2*m + 43 - y = 4*k, 0 = -3*m + 2*k + 27. Calculate the remainder when (1/(-2))/((-2)/84) is divided by m.
10
Suppose 0*q - 218 = -2*d + 4*q, 2*d - 215 = q. Calculate the remainder when d is divided by 35.
2
Let b(k) = -2*k - 1. Let q be b(-2). Let f be 4 + 12 + 3 + 3. Suppose 59 + f = q*r. Calculate the remainder when 105 is divided by r.
24
Suppose 0 = 20*v - 188 + 48. What is the remainder when 45 is divided by v?
3
Suppose -3*m + 4*c + 30 = -3, 0 = -5*c. Suppose -l - m = -2*l. Calculate the remainder when l is divided by 6.
5
Calculate the remainder when ((-45)/(-1 + 0) - 5)*2 is divided by 19.
4
Let s = -218 - -204. Suppose -58 = -3*d + 3*v - 4*v, -26 = -d + 3*v. What is the remainder when (-564)/s + d/(-70) is divided by 21?
19
Let p(z) = 2*z + 56. What is the remainder when p(13) is divided by 42?
40
Let l = 28 + 30. Suppose -4*j + 10 + l = 0. Let n = -52 - -118. Calculate the remainder when n is divided by j.
15
Suppose -13 = 5*o - 88. Suppose 4*t = -3*y + 1 + 6, 3*t = 5*y + 27. Calculate the remainder when y*(-8)/(-84) - (-415)/7 is divided by o.
14
Suppose 0 = 23*l - 25*l + 2*y + 7862, 0 = -4*l - 4*y + 15756. Calculate the remainder when l is divided by 123.
122
Let i = -16 + 24. Suppose 2*z - 3*h - 12 = 0, -h - 6 = 2*h. Calculate the remainder when i is divided by z.
2
Suppose 0 = -3*c + i - 98, 0*i - 3*i = 4*c + 148. Let l = 51 - c. What is the remainder when l is divided by 22?
19
Let a(p) = -p**3 - 2*p**2 + 69*p + 11. What is the remainder when a(7) is divided by 5?
3
Let w(c) = c**3 + 7*c**2 - 9*c + 5. What is the remainder when w(-4) is divided by 37?
15
Let d(l) = -l**3 + 3*l**2. Let b be d(3). Suppose 0 = 5*m - 110 - b. Let j = 24 - 16. Calculate the remainder when m is divided by j.
6
Let y(n) = -13*n - 8. Calculate the remainder when 67 is divided by y(-1).
2
Suppose -3*d + d + 36 = 4*p, -2*d = -2*p - 42. Calculate the remainder when d is divided by 264/(-16)*(-1 + (-2)/(-6)).
9
What is the remainder when (42 - 6)*1/((-3)/(-41)) is divided by 19?
17
Suppose 13*i - 23*i = -170. Calculate the remainder when 46 is divided by i.
12
Let y(w) = -w**3 + 7*w**2 + 81*w - 1. What is the remainder when 218 is divided by y(-7)?
100
Calculate the remainder when 4 is divided by (-3)/(4*18/(-48)).
0
Let a(b) = -b - 5. Calculate the remainder when (16/(-3) - -3)*-3 is divided by a(-7).
1
Let z be (-8)/20 + 7971/15. Suppose -2709 = 4*f + z. What is the remainder when 57 is divided by ((-1)/(-3))/((-18)/f)?
12
Let i(l) = -14*l + 633. What is the remainder when i(17) is divided by 60?
35
Suppose -1 = -2*p + 5*n + 22, -n = p - 22. What is the remainder when 69 is divided by p?
12
Let y(s) be the second derivative of s**5/20 - s**4/6 - 5*s**3/6 + 26*s. What is the remainder when y(4) is divided by 8?
4
Let g = 102 - 42. Calculate the remainder when g is divided by 67/4 - 9/12.
12
Let a be ((-24)/(-20))/((-2)/(-10)). Suppose -p = -1, 2*d - p - 4 = -3*d. What is the remainder when 15 is divided by a + (1 - d)/(-5)?
3
Let x(d) = 2*d + 2. Suppose -4*r + 120 = 2*t, 13*t - 14*t + 42 = -4*r. Calculate the remainder when t is divided by x(3).
6
Let t(l) = -3*l**3 - 4*l**2 - 2*l - 7. Let c be t(-4). Let r = c + -111. What is the remainder when 89 is divided by r?
17
Suppose 4*v = -2*s + 6*s - 44, 0 = 2*v + 2. Calculate the remainder when ((-314)/(-4) - 1) + 5/s is divided by 8.
6
Let n be (0 - 0)*(-2)/4. Suppose 4*g = 19 + 13. What is the remainder when (n/(-2) + 2)*13/2 is divided by g?
5
What is the remainder when 452 is divided by 15/(-10)*1/((-3)/20)?
2
Suppose j + 0*i + i = 30, 4*i = 16. Suppose -j = 3*x - 68. Suppose 5*t - n = 2*t + x, -t + 28 = -5*n. Calculate the remainder when 5 is divided by t.
2
Let c be (-43)/(-3) - 8/(-12). Suppose 0 = -3*o + c, 2*q - 3*o + 4*o - 99 = 0. What is the remainder when q is divided by (-3 + (-14)/2)*(-6)/5?
11
Suppose -t + 32 = a, -5*t = a + 54 - 218. What is the remainder when 140 is divided by t?
8
Let c = -60 + 64. Suppose -c*j + 83 = a, -10*a + 6*a = 4*j - 68. What is the remainder when -1 + (0 - 1 - -44) is divided by j?
20
Let l = -535 - -1619. What is the remainder when 73 is divided by (-7)/(-196)*l + 4/14?
34
What is the remainder when -5 + 31 + 3*1 is divided by (-162)/(-14) + (7 - 318/42)?
7
Let q(v) = -23*v - 98. What is the remainder when q(-16) is divided by 23?
17
Let y = -37 + 46. Suppose 1 = n - 9. Suppose n = 5*d + l - 0*l, 0 = d + 2*l + 7. Calculate the remainder when y is divided by d.
0
Let p be (-15)/6*(-16)/10. Suppose a = 3*x, -5*x + 11 + p = 0. What is the remainder when 25 is divided by a?
7
Let u be (24 + 22)/(2/12). Suppose s - 2*a - 69 = 0, 3*s - 7*s = -5*a - u. What is the remainder when s is divided by 28?
13
Let r(q) = q**2 + 4*q + 1. Let s be r(-16). Suppose -9*d + 167 = -s. What is the remainder when d is divided by 21?
19
Suppose 10*d + 5818 - 18278 = 0. Calculate the remainder when d is divided by 104.
102
Suppose 3*f = f + 4. Suppose 1 = v + f. Let l = 14 - v. Calculate the remainder when l is divided by 9.
6
Suppose 0 = -5*b - 3*d + 150, 145 = -25*b + 30*b + 2*d. What is the remainder when 104 is divided by b?
23
Let v(y) = -2*y**2 - 21*y - 23. Suppose 0 = -10*b + 6*b - 24. What is the remainder when v(b) is divided by -10*(-3)/((-30)/(-16))?
15
Let o = -182 - -214. Let r = -14 + 106. What is the remainder when r is divided by o?
28
Let u = -9 + 22. Let p = u - 13. What is the remainder when 38 - p - 0/6 is divided by 8?
6
Let f(h) = -2*h**3 + 16*h**2 - 24*h + 5. What is the remainder when 68 is divided by f(6)?
3
Suppose 5*v - 135 = -0*v. What is the remainder when v is divided by 60/150*(1 - 26/(-4))?
0
Suppose 2*q = 3*q - 16. Suppose 15*g = 27*g - 732. Calculate the remainder when g is divided by q.
13
Let w(p) = -44*p - 56. Let i be w(-6). Suppose -4*n = 4*n - i. What is the remainder when 152 is divided by n?
22
Let c(n) = -4*n - 7. Let o be c(-3). Suppose -5*u - q + 552 = -2*u, -2*u + o*q + 385 = 0. Suppose -i + u = 4*i. Calculate the remainder when i is divided by 20.
17