3). Suppose -2*r = h*r - 16. What is the remainder when 9 is divided by r?
1
Let m(l) = 3*l**2 + 5*l + 6. Let j = -261 + 454. Let k = -59 + j. What is the remainder when k is divided by m(-4)?
32
Suppose 235 = 5*h - a, -h - 87 = -3*h - a. What is the remainder when 158 is divided by h?
20
Suppose 0 = -5*y + 100 - 0. Calculate the remainder when y/90 + 7/9 is divided by 2/((-4)/(-6)) + -2.
0
Let k(v) = v**3 + 26*v**2 + v + 35. What is the remainder when 116 is divided by k(-26)?
8
Suppose 6 = 2*v + 3*s - 56, -5*v + 4*s + 201 = 0. What is the remainder when v is divided by 6?
1
Suppose 0 = a + 3*a + 216. Let y = -30 - a. Suppose -5*i = 3*h - 193 - 42, 4*i - 160 = -2*h. Calculate the remainder when h is divided by y.
22
Let v(x) be the second derivative of 5*x**3/3 - 2*x**2 + 14*x. Calculate the remainder when v(2) is divided by 9.
7
Let a = 227 + -184. Calculate the remainder when a is divided by 21.
1
Calculate the remainder when (109 - ((-3)/3 - -2))/1 is divided by 22.
20
Let o(l) = -l**2 - 8*l - 11. Let k be o(-3). Suppose 2*f + k*g + 16 = 4*f, -g + 23 = 4*f. Let a = 25 - 12. What is the remainder when a is divided by f?
1
Let n be ((-5)/4)/(1/(-4)). Suppose n*b - d - 26 = 0, 2*b + b - 13 = -2*d. What is the remainder when 11 is divided by (b - 4)/(2/14)?
4
Suppose 6 - 26 = 2*q. Let t(l) = l + 4. Let z be t(q). Calculate the remainder when ((-4)/z)/((-6)/(-351)) is divided by 20.
19
Let k = 330 - 315. Suppose -14 = -4*z + 5*f, -4*z + 2*z = -5*f - 2. Calculate the remainder when k is divided by z.
3
Suppose -7*f - 14*f = -483. What is the remainder when 187 is divided by f?
3
Let z = 9 + -20. Let c(f) = -f**3 - 12*f**2 - 12*f + 8. Calculate the remainder when 37 is divided by c(z).
18
What is the remainder when 182 is divided by (60/(-150))/(0 - (-2)/(-155))?
27
Suppose v - 3*p = 19, 14*p = 13*p - 1. What is the remainder when 124 is divided by v?
12
Let d(z) be the second derivative of z**5/20 - 5*z**4/12 + z**3/3 + z**2 + 2*z. Let f be d(4). What is the remainder when 4*45/f*-2 is divided by 21?
18
Suppose 0*r + r + 2 = 0. Let v = r + 4. Suppose v*x = -q + 3*q + 92, 5*x = -2*q + 237. What is the remainder when x is divided by 16?
15
Suppose -14*k = -242 - 192. Calculate the remainder when 90 is divided by k.
28
Suppose -4842 - 11115 = -81*t. What is the remainder when t is divided by 41?
33
Suppose -4*t + 167 + 201 = 0. What is the remainder when t is divided by 36?
20
Calculate the remainder when 94 is divided by 25/(100/(-24)) - -17.
6
Suppose 2*q = 3*q. Suppose q*j = -3*j + 135. Let b = -12 + 24. What is the remainder when j is divided by b?
9
What is the remainder when 216/(-756) - 191*2/(-14) is divided by 11?
5
Suppose -4*r = -3*c - 860, 430 = 2*r + c + c. Calculate the remainder when r is divided by 36.
35
Let h(c) = -c**3 - 6*c**2 - 10. Let k(f) = -f**2 - 8*f - 7. Suppose -5*o + 7 - 47 = 0. Let l be k(o). What is the remainder when h(l) is divided by 21?
18
Let h be 300/51 - 6/(-51). Suppose 3*b - h*b + 6 = 0. Let j(t) = t - 2. What is the remainder when j(7) is divided by b?
1
Suppose 37 = j - 87. What is the remainder when -2*(-8)/6*465/j is divided by 3?
1
Suppose 0 = 90*j - 783 - 567. Let g(c) = c**3 - 6*c**2. Let w be g(6). Calculate the remainder when (14*-1 + w)*-2 is divided by j.
13
Suppose 2*l + 4 = 0, 0 = 2*s - l - 76 - 2. Suppose -4*z = -14 - s. Calculate the remainder when (-14)/(2 - (-64)/(-28)) is divided by z.
10
Suppose 5*h + 2 = -f + 11, -5*f = 5*h - 5. Let m = 5 - h. Suppose -4*u = -m*u - 23. Calculate the remainder when 89 is divided by u.
20
Suppose v = 2*v. Suppose v = -5*b - 29 - 11. What is the remainder when 45 is divided by (-17 - 1)*b/12?
9
Let u = 25 + -34. Let i(v) = -v**3 - 10*v**2 - 11*v + 4. What is the remainder when 108 is divided by i(u)?
20
Let f = -122 - -48. Let x = 106 + f. Calculate the remainder when x is divided by (-68)/(-6) - 3/9.
10
Let x(u) = 21*u - 104. What is the remainder when 108 is divided by x(6)?
20
Suppose -1455 = -0*j - 5*j. Let f = j - 207. Let b(k) = 3*k**2 - 5*k + 1. Calculate the remainder when f is divided by b(4).
26
Let u(i) = -i**3 - i - 1. Let p(m) = m**2 - 3*m - 1. Let t be p(3). Calculate the remainder when 2/(-12)*(-4 + -2) is divided by u(t).
0
Let u(v) = v**3 - 16*v**2 + 14*v + 15. Let b be u(15). Suppose b*d - 2*d - 2*q + 6 = 0, -4*q + 4 = 2*d. What is the remainder when 18 is divided by d?
2
Let s be 4/10 + (-184)/(-40). Suppose h = -4*h + s. Calculate the remainder when 45 is divided by (8/20)/(h/30).
9
Let j = 27 - 93. Let s = -42 - j. Let x(r) = -23*r. Calculate the remainder when x(-4) is divided by s.
20
Suppose 0 = -3*i - 10 + 31. Let s be 14/63 + (-4)/18. Suppose s = 5*g + 5*f - 35, -4*g - f = f - 36. Calculate the remainder when g is divided by i.
4
Suppose -85*g + 1894 = -2526. Calculate the remainder when 198 is divided by g.
42
Let m(y) = 0*y - 2*y - 3 - 8*y. Suppose 0 = 60*q - 118 - 242. What is the remainder when m(-2) is divided by q?
5
Let k = 3 + 2. Suppose -k*f + 16 = t, -2*f - 2*t = t - 9. Let h = 5 + f. What is the remainder when 22 is divided by h?
6
Let c(n) = -n**2 - n + 4. Suppose 3*f = f - 6. Let k be c(f). Let l(x) = -4*x**3 - 2*x**2 + 2. Calculate the remainder when l(k) is divided by 9.
8
Suppose -4*z = 13*f - 8*f - 453, 91 = f + z. Calculate the remainder when 354 is divided by f.
87
Suppose w = 2*f - 146, 5*f - 26*w + 23*w - 364 = 0. Calculate the remainder when 84 is divided by f.
10
Let k = -18 + 42. What is the remainder when ((-45)/(-4))/(1/4) is divided by k?
21
Let z(y) = 74*y. Let s be z(1). Let o = 4 + -2. Suppose -o*a - s = -5*k - 6*a, 3*a + 53 = 4*k. What is the remainder when k is divided by 4?
2
Let v = 1436 + -885. Suppose -3*z + 5*i + v = 0, 4*z = z - i + 545. Calculate the remainder when z is divided by 46.
44
Let l = -675 - -714. Calculate the remainder when 661 is divided by l.
37
Let v = 42 - 71. Let y = v + 50. What is the remainder when 39 is divided by y?
18
Let y(m) be the second derivative of m**3 - 11*m**2/2 + 27*m. What is the remainder when y(9) is divided by 16?
11
Suppose -2*h + 0 + 8 = 0. Suppose -3*j + 18 = 2*z + j, h*z + 4*j = 24. Suppose 5 = -z*k + 86. What is the remainder when k is divided by 7?
6
Suppose 2*z + 244 = 4*z - 2*y, z + 4*y = 127. Let u = 134 - z. Let d(m) = 2*m**2 - 6*m - 2. What is the remainder when d(-4) is divided by u?
10
Suppose -z + 2*y + 11 = -84, -y = 1. Suppose 142 = 7*r + 30. Calculate the remainder when z is divided by r.
13
Let f(w) = -w**2 + 13*w + 7. Let x be 1/3 - (-375)/9. Suppose -3*q = 4*l - x, 0*l + 38 = 3*l - q. What is the remainder when 54 is divided by f(l)?
16
Suppose 4882 = 4*p + 4854. Calculate the remainder when 11 is divided by p.
4
Let q = 36 - 25. Suppose 2*n + 0*n = -3*a + 20, n = -4*a + 35. Suppose -78 = -2*k - 2*t, 0 = -5*t - a - 0. Calculate the remainder when k is divided by q.
8
Let n(q) = q**3 - 5*q**2 - 3*q - 1. Let k be n(3). Let x = k - -32. Suppose -x*s - 53 = -3*m, -5*s - 9 = 1. Calculate the remainder when 59 is divided by m.
14
Let g(c) = 7*c - 19. Let p(z) = -3*z + 10. Let m(t) = 2*g(t) + 5*p(t). Calculate the remainder when 11 is divided by m(9).
2
What is the remainder when (-68)/(-952) + (-4646)/(-28) is divided by 6?
4
Let k(l) = -7*l. Let i(h) = 0*h + 12 - 3*h + h. What is the remainder when i(0) is divided by k(-1)?
5
Suppose 0 = 3*q - 11 - 28. Calculate the remainder when 102 is divided by q.
11
Suppose -w + h + 20 = 0, 4*h - 100 = -6*w + w. Let i = 2 + 2. Suppose -5*j - 280 = -5*r - j, -5*r = i*j - 280. What is the remainder when r is divided by w?
16
Let y(k) = 2*k**3 + k**2 - k + 1. Let u(t) = -t**2 + 6*t - 6. Let h be u(4). Suppose -101*w + 8475 = 12*w. What is the remainder when w is divided by y(h)?
18
Let x = 234 - 222. What is the remainder when 58 is divided by x?
10
Let a(v) = -9*v - 5. Let b be a(-1). Suppose x + 4*x - 86 = b*g, -2*g - 34 = -2*x. Calculate the remainder when 123 is divided by x.
15
Let o be (32/12)/(1/(-3)). Let n be 4*1 + o + 7. Suppose -n*m = -2*q + 23, -2*q - 2*q - m = -53. What is the remainder when 38 is divided by q?
12
Suppose -l + 12 = -0*l - 4*k, 3*l - 4*k - 44 = 0. Suppose 3*p - 3*h + 21 = 219, 0 = 4*p - 3*h - 259. Calculate the remainder when p is divided by l.
13
Suppose -t + 173 = -17*w + 1