- 30. Let i(g) = 16*g + 3. Let q(j) = 16*j + 3. Let f(l) = 6*i(l) - 7*q(l). Calculate the remainder when f(-2) is divided by y.
14
Let m be ((-6)/(-8))/(5/(-20)). Let v = 5 + m. Suppose -v*x - 1 = -5. Calculate the remainder when 4 is divided by x.
0
Let l(x) be the second derivative of x**4/12 - 7*x**3/6 - 6*x**2 - 2*x. Calculate the remainder when 10 is divided by l(9).
4
Suppose -2*x = x. Suppose 0*t - 3*t + 6 = x. Let g(p) = p**3 - 33*p**2 + 32*p + 2. What is the remainder when t is divided by g(32)?
0
Suppose -51 = -5*a + 29. What is the remainder when 45 is divided by a?
13
Calculate the remainder when (95/(-10))/(1/(-6)) is divided by 15.
12
Let o = 9 - 4. Let g(n) = -4*n**3 - n**2 + n + 12. Let t(k) = 5*k**3 - 13. Let a(w) = 6*g(w) + 5*t(w). Calculate the remainder when a(o) is divided by 7.
5
Let o(g) = -g**2 + 2*g - 1. Let r(s) be the first derivative of -s**2 + s + 2. Let z(x) = -3*o(x) - 2*r(x). What is the remainder when z(-3) is divided by 12?
10
Let q(o) = 3*o + 2. Let s be q(-2). Let a(z) = -z**3 - 2*z**2 + z - 5. Calculate the remainder when a(s) is divided by 1/4 - (-62)/8.
7
Let v(m) = m**3 - 8*m**2 + 14*m - 9. Let r be v(6). Let c be ((-28)/(-10))/(2/20). Suppose -r*u + 11 = -c. Calculate the remainder when u is divided by 5.
3
Let k(b) = b**2 - 3. Calculate the remainder when (-94)/(-6) - (-6)/(-9) is divided by k(-3).
3
Calculate the remainder when 7 is divided by 2/(-8)*(-9 - (-4 - 1)).
0
Suppose -3 = -3*i - 0*i, -2*i = 5*t - 57. Suppose -5*x + m = -12, -x + 2*m + 6 = 3*x. What is the remainder when t is divided by ((-16)/12)/((-1)/x)?
3
Suppose -6*h + 23 = -85. Calculate the remainder when 48 is divided by h.
12
Suppose 3*i = -5*p + 12, 4*p + 2*i - 9 = -i. Calculate the remainder when 4 is divided by p.
1
Suppose -4*m + 3*p + 2*p + 659 = 0, -m + 155 = 2*p. Calculate the remainder when m is divided by 33.
29
Let a(d) = d**2 - 1. Let z be a(4). Let c = 38 - z. Calculate the remainder when 45 is divided by c.
22
Suppose 58 = z + b - 4, -2*z + 148 = -4*b. Calculate the remainder when z is divided by 17.
15
Suppose -22 = -3*r + 5*d, r + 3*r - 1 = d. Let l = r + 13. Calculate the remainder when l is divided by 7.
5
Let t be 2 - 3/(-2 + 5). Let q = t - -1. Calculate the remainder when 3 is divided by q.
1
Let w = -1 - 0. Let p be w - 2*(-1 - 0). What is the remainder when (-5)/((-5)/4 + p) is divided by 11?
9
Suppose -4*b + 66 - 14 = -n, 4*n = 3*b - 52. Let v = 14 + -8. What is the remainder when b is divided by (-2)/v + (-44)/(-6)?
5
Let b be 5/(-1 - -2) + -3. Calculate the remainder when (b/3)/((-4)/(-126)) is divided by 11.
10
Let m = -90 + 126. Suppose h - 4*h = -m. Calculate the remainder when 22 is divided by h.
10
Suppose s - 17 = -5. Let l be (-3)/(1 - 4) + 3. Suppose b = a - 24, -8*b + l*b - 50 = -2*a. Calculate the remainder when a is divided by s.
11
Suppose -3*w + w = -3*m - 15, -3*w - 25 = 5*m. Let b = w + 6. Calculate the remainder when 10 is divided by b.
4
Suppose 5*c + 2 = -23. Suppose 0 = i - 54 - 4. Calculate the remainder when i is divided by (6/c)/(9/(-150)).
18
Suppose 5*x + 5*w - 150 = 0, -4*w = 5*x - 5*w - 174. Calculate the remainder when x is divided by 18.
16
Let i = -4 + 8. Let g = i - -19. Let l(s) = 3*s - 4. What is the remainder when g is divided by l(4)?
7
Suppose 0*z - 5*i = 5*z - 355, -3*z - 4*i = -209. What is the remainder when z is divided by 26?
23
Let v = 128 - 45. What is the remainder when v is divided by 28?
27
Suppose 5*a + 0*a - 35 = 0. Suppose 105 = a*z - 2*z. Calculate the remainder when z is divided by 11.
10
Let x(s) = s + 9. Let k be x(-3). Suppose -67 = -k*v + 77. Calculate the remainder when 93 is divided by v.
21
Let p(b) = -b + 2. Let y be p(-4). Let s = 4 - y. Let o = s - -4. Calculate the remainder when 2 is divided by o.
0
Let x = 2 - 5. Suppose 0 = -5*w + 12 + 13. Let t = w + x. What is the remainder when t is divided by 1?
0
Let c(w) = -8*w - 8. Suppose 0 = -3*u + 6 + 135. What is the remainder when u is divided by c(-3)?
15
Suppose -5*q = -2*v + 38, -25 = 3*v - 4*v + 4*q. Suppose i - 80 = -4*i. What is the remainder when i is divided by v?
7
Let x(t) = t**3 + 9*t**2 + 8*t + 2. What is the remainder when x(-3) is divided by 6?
2
Let r = -16 + 10. Calculate the remainder when (3*9)/((-6)/r) is divided by 15.
12
Suppose -2*q - 13 = -45. Calculate the remainder when 79 is divided by q.
15
Let u(c) = c**3 + 6*c**2 + 2. Let v be u(-6). Suppose 2*q = -5*f + 150, 0 = -v*f - 2*f + q + 133. What is the remainder when f is divided by 17?
15
Let r(k) = k**2 + 3*k - 6. Let c be 3*(2 - 8/3). Let g = -3 + c. What is the remainder when 10 is divided by r(g)?
2
Suppose 0 = 12*g - 63 - 9. Calculate the remainder when (-77)/(-5) + 4/(-10) is divided by g.
3
Let h(d) = 47*d**3 - d**2 - d + 1. Let v be h(1). Suppose 3*t + v = t. Let u = t - -45. Calculate the remainder when u is divided by 12.
10
Let j(n) = 37*n**3 - n**2. Let s(t) = -t + 3. Let c be s(4). Let p be j(c). What is the remainder when 9 is divided by (-4)/(-16) - p/8?
4
Calculate the remainder when 37 is divided by 12 + -1 + (-1 - 2).
5
Let q be 25/10 - (-2)/(-4). What is the remainder when (1 - 1) + 1*14 is divided by 594/77 + q/7?
6
Let q = -32 + 61. Suppose -69 - q = -2*s. Calculate the remainder when s is divided by 25.
24
Let h = -2 + 12. Suppose 0 = 5*g - 0 - h. Suppose -12 = g*z - 4*z. What is the remainder when 10 is divided by z?
4
Let r = -6 + 4. Let b be 3 - (2 - (-6)/r). Suppose 3*j - 41 = 5*w + 27, 0 = b*j + 2*w - 108. What is the remainder when j is divided by 14?
12
Suppose -3*i + 28 = -t, i + 0*t - 6 = 2*t. What is the remainder when 16 is divided by i?
6
Suppose 4*z - 54 - 38 = 0. Calculate the remainder when z is divided by 4*6*2/4.
11
Let g be 18/4 - 3/6. Let d(q) = 2*q + 2. What is the remainder when d(g) is divided by 6?
4
Let h be -2*((-75)/6)/5. Suppose -h*u - 30 = -140. What is the remainder when u is divided by 12?
10
Calculate the remainder when (-2)/(-4) + 86/4 is divided by 6.
4
Suppose 0 = t + 5*u - 11 - 18, 4*t = 4*u + 92. Calculate the remainder when t is divided by 19.
5
Let i(g) = -g**2 - 9*g + 10. What is the remainder when 67 is divided by i(-7)?
19
Let v(t) = -16*t**2 - 19*t + 16. Let f(r) = -3*r**2 - 4*r + 3. Let o(l) = -11*f(l) + 2*v(l). Calculate the remainder when 16 is divided by o(-7).
4
Suppose -29*v + 23*v + 324 = 0. What is the remainder when v is divided by 8?
6
Suppose 4*l = l + 12. Suppose 3*s + 2 = 3*b - 79, -l*b + 113 = -3*s. Calculate the remainder when b is divided by 11.
10
Let f(h) = 7*h**2 - h + 2. Let j be f(2). Let x = -59 - -42. Let t = j + x. Calculate the remainder when 21 is divided by t.
10
Suppose -3 + 11 = 2*i. Suppose 0 = -i*m + 3*m + 9. What is the remainder when 26 is divided by m?
8
Let r(h) = -h**3 - h**2 + 2. Let f be r(-2). Suppose -f*j + j = -95. Let g = -78 - -133. Calculate the remainder when g is divided by j.
17
Let u(d) = -d**2 + d + 4. Let z be u(5). Let m = z + 28. Calculate the remainder when 22 is divided by m.
10
Let y = 10 + 4. Suppose -h - 23 = -j - 4*j, -5*h - 35 = -5*j. Calculate the remainder when y is divided by j.
2
Let m = -3 - 4. Let d = m - -57. Let t(p) = p**3 + 7*p**2 - 2*p + 3. What is the remainder when d is divided by t(-7)?
16
Let s = -5 + 6. Calculate the remainder when s is divided by 1.
0
What is the remainder when 24 is divided by (-3 + -1 + 3)*-9?
6
Suppose 0 = l + 2*g - 51, -42 = -3*l + 2*g + 71. Let h = -25 + l. Calculate the remainder when 31 is divided by h.
15
Let b(l) = 58*l**3 + l**2 - l + 1. What is the remainder when b(1) is divided by 15?
14
Let m = -35 - -66. What is the remainder when m is divided by 11?
9
Let t(j) = 6*j**2 - 1. Calculate the remainder when 18 is divided by t(-1).
3
What is the remainder when 93 is divided by ((-4)/(-8))/((-2)/(-96))?
21
Let d be ((-2)/(-4))/((-12)/(-288)). Suppose -u + d = -18. What is the remainder when u is divided by 8?
6
Suppose -k + x - 13 = -2*x, -3*k = 2*x + 50. Let l = 27 + k. What is the remainder when 28 is divided by l?
6
Let c(x) = x**2 - 4*x - 8. Calculate the remainder when c(-9) is divided by 28.
25
Let w(m) = 3*m**2 + 1. Let k be w(4). Let c = k + -33. What is the remainder when c is divided by 2 + (3 - 2)*7?
7
Suppose 0*k = -2*k - 10, 3*k = -5*f + 150. Let w