mainder when 69 is divided by w?
4
Let r(d) = 185 + 0*d**2 + d**2 - 172 + 11*d. Let x be r(-10). Suppose -x*y + 8*y = 165. Calculate the remainder when y is divided by 18.
15
Let p(t) = 2*t**2 + 2. Calculate the remainder when 28 is divided by p(-2).
8
Let h(d) = -d**2 + 5*d - 1. Let q be h(4). Suppose q*l = l + 102. Calculate the remainder when l is divided by 16/20*45/2.
15
Let z(p) = -p - 4. Let r be z(-6). Let c be r/(6*(-1)/(-9)). Suppose 2*f = -2*n + 86, -c*f + 5*n + 159 = 2*n. Calculate the remainder when f is divided by 17.
14
What is the remainder when (-18)/(-7)*(1 - -6) is divided by (-8)/(-6)*(51/6 + -1)?
8
Suppose -3*b - 67 - 8 = 0. What is the remainder when (68 - 3)*(-15)/b is divided by 21?
18
What is the remainder when 138 is divided by (56/(-6))/((-40)/150)?
33
Let n be (-4 + 1 + 2)/((-3)/144). Let v = 11 + -20. Let y = n - v. Calculate the remainder when y is divided by 20.
17
Suppose 33*c = 13*c + 2400. Calculate the remainder when c is divided by 37.
9
Suppose -44 = -45*x + 43*x. Calculate the remainder when 86 is divided by x.
20
Suppose 2208*g - 2218*g = -2260. Calculate the remainder when g is divided by 47.
38
Suppose -5*h + 213 + 766 = 2*w, -2*h + 386 = -2*w. Let r(o) = 4*o - 42. What is the remainder when h is divided by r(23)?
45
Let x = -7 - -140. What is the remainder when x is divided by 69?
64
Let f(b) = -3*b + 135. What is the remainder when f(-27) is divided by 46?
32
Suppose 0 = -311*w - 333*w + 668*w - 624. What is the remainder when 48/(-10)*(-18 - 2) is divided by w?
18
Let w(m) = 15*m - 8. Let i be (51/9)/(2/12). Let n = i - 23. What is the remainder when w(4) is divided by n?
8
Suppose 3*r - 19 = 74. Let b = 2705 + -2694. Calculate the remainder when r is divided by b.
9
Suppose -7*u = 4*n - 11*u - 28, -2*n + 3*u = -13. What is the remainder when 671 is divided by n?
7
Suppose 2*m + 3 + 2 = -j, 2 = 5*j + m. Let i(b) = -9*b**2 - 39*b - 8. What is the remainder when i(-4) is divided by j?
0
What is the remainder when (-2 - 9) + 10 + 510 is divided by 105?
89
Let p = 262 - 48. Calculate the remainder when p is divided by 3.
1
Let z(n) = -78*n**3 - 3*n - 2. Let d be z(-1). Let m = d - 47. Calculate the remainder when 93 is divided by m.
29
Let n(t) = 2*t**2 - 13*t + 25. What is the remainder when n(5) is divided by 3?
1
Suppose -5*z + 22 + 1492 = -2*x, 2*z - 598 = -3*x. Calculate the remainder when z is divided by 38.
36
Let j = 4 + 0. Suppose -202 = -2*u - 2*t, -2*u - 3*u + j*t = -505. Suppose -2*o + 47 = 5*p, 4*o + 4*p = -25 + u. What is the remainder when o is divided by 6?
4
Let a = -100 + 188. Suppose -2*j + 6*j = a. What is the remainder when (-2 - (-12)/8)/(2/(-172)) is divided by j?
21
Let a(g) = -4*g**3 + g**2 + 16*g + 4. Calculate the remainder when a(-3) is divided by 24.
1
Let q = 454 + -439. Calculate the remainder when q is divided by 6.
3
Suppose 901*v - 235 = 896*v. Calculate the remainder when 179 is divided by v.
38
Let g(v) = 42*v**2 - 2*v - 1. Let a = -536 + 559. What is the remainder when g(-1) is divided by a?
20
Let t be (-8 + -2)/((-2)/1). Suppose 3*v = -x - 8, -t*x + 2*v + v + 50 = 0. Calculate the remainder when (-6)/18 - (-37)/3 is divided by x.
5
Let x(s) be the first derivative of -s**4/4 - 6*s**3 - 3*s**2/2 - 39*s - 20. What is the remainder when 43 is divided by x(-18)?
13
Let z = 362 + -307. Calculate the remainder when z is divided by 12.
7
Suppose 195 = 8*m - 685. What is the remainder when m is divided by 37?
36
Let j = -11 + 28. What is the remainder when j is divided by 1 - 3 - (-15)/3?
2
Suppose 7*d = 2*d + 40. Suppose 2*w + 61 = 5*t, 5*t = t - w + 54. What is the remainder when t is divided by d?
5
Let r be 13/(-13)*(-1 - -14). Let k(y) = -y + 25. What is the remainder when 112 is divided by k(r)?
36
Let c(y) = 12*y + 4. Let d be c(3). Suppose -r + d = 4*r. Let u(s) = -3*s**2 - 143*s - 91. What is the remainder when r is divided by u(-47)?
2
Suppose -11*f + 566 = 16. What is the remainder when f is divided by 3?
2
Let k = -66 - -77. Suppose g + 2*n = -6, -n = 4*g + g + 3. Suppose 4*p = -16, -5*y + g*y + p + 214 = 0. Calculate the remainder when y is divided by k.
9
Let p(k) = 23*k - 739. What is the remainder when p(33) is divided by (2 + -1)/((-2)/(-14))?
6
Let z = -187 - -207. What is the remainder when 59 is divided by z?
19
Suppose 0 = -4*d + 16 + 12. Calculate the remainder when 2/(-16) + 1449/72 is divided by d.
6
Let i = 933 + -794. What is the remainder when i is divided by 11?
7
Let d be 2/6 + 24/9. Suppose 4*t - n - 332 = 38, 0 = -t + d*n + 98. Suppose 3*z - 28 = 29. Calculate the remainder when t is divided by z.
16
Let a = 1444 + -1429. Calculate the remainder when 190 is divided by a.
10
Let j = 308 - 198. Calculate the remainder when j is divided by 29.
23
Let f be ((-44)/(-66))/(2/15). Suppose -v + 2*n + 126 = 0, f*n - 378 = -3*v - 0*n. What is the remainder when v is divided by 32?
30
Suppose -12*r + 18 = -11*r. Let t(x) = -2*x - 5. Suppose 0 = 5*j + o + 33, -j + 12 = -2*j - 2*o. Calculate the remainder when r is divided by t(j).
4
Let n(q) = 32*q - 91. Let o be n(3). Let y(a) be the second derivative of 7*a**3/3 - 4*a**2 + a. What is the remainder when y(o) is divided by 21?
20
Suppose 4 - 13 = -3*b. Suppose -b*a = 2*h + 471, -5*h + 174 = 2*a - 3*a. Calculate the remainder when a*(-1 - 4/(-6)) is divided by 14.
11
Let b = 76 - 62. What is the remainder when 43 is divided by (-42)/4*(-40)/b?
13
Let i be -9*1 - (0 - 0). Let j(v) = -53*v - 10. Calculate the remainder when j(-1) is divided by (44/(-6))/(6/i).
10
Let m be (-180)/75*(-2 + 42/(-4)). Let s = 44 - m. What is the remainder when s is divided by 3?
2
Let s(y) = y**3 + 56*y**2 + 107*y - 28. Suppose -3*w + 2*x - 17 = 3, -4*w = 3*x + 4. Calculate the remainder when s(-54) is divided by w*(-2)/12*15.
6
Let t = -838 - -1028. What is the remainder when t is divided by 32?
30
Suppose 194 = -34*v + 36*v. Suppose 4*b + b - 125 = 0. Calculate the remainder when v is divided by b.
22
Suppose 0 = 427*w - 430*w + 96. What is the remainder when w is divided by 28?
4
Suppose -5*n + 130 + 254 = b, b - 230 = -3*n. Calculate the remainder when n is divided by 27.
23
Let p = -61 + 168. Let o = -66 - -84. What is the remainder when p is divided by o?
17
Let g(n) be the third derivative of n**5/30 + n**4/12 - 2*n**3 + 17*n**2. Calculate the remainder when 137 is divided by g(-5).
25
Let t = 38 - 27. Let l(c) = c - 6. What is the remainder when t is divided by l(9)?
2
Let w(z) = -4*z**2 + 51*z + 30. Calculate the remainder when 50 is divided by w(13).
16
Suppose 8*r - 6*r + 92 = 0. Let o = 82 + r. Calculate the remainder when o is divided by 5.
1
Let t(d) = -d**2 - 25*d + 10. Calculate the remainder when (12*4)/(9/12) is divided by t(-24).
30
Let n(i) = -1 - 23*i + 15*i + 5 + 2. What is the remainder when n(-3) is divided by 8?
6
What is the remainder when -5 + (221 - ((-4 - -4) + 1)) is divided by 17?
11
Let v(p) = -p**3 - 8*p**2 - 28*p - 5. What is the remainder when v(-5) is divided by 21?
18
Suppose 0 = 3*n - 127 - 59. Suppose 3*c + 4*f - n = 0, c - 2*f - 60 = -c. What is the remainder when c is divided by 15?
11
Suppose 3*y - 4*q = -2*y + 39, -4*y = 4*q - 60. What is the remainder when 108 is divided by y?
9
Suppose 5*s = s + 16. Suppose -108*n - 21*n + 3283 + 716 = 0. What is the remainder when n is divided by s?
3
Let w be 0*1*(-4 + 3). Suppose 4*k - 189 - 199 = w. Calculate the remainder when k is divided by 10.
7
Let p = -446 - -461. What is the remainder when 74 is divided by p?
14
Suppose -222 = 2*d + 5*n, 4*d + 2*n = -0*n - 460. Let m be d/10 - 10/25. What is the remainder when m/(0 + 4/(-14)) is divided by 15?
12
Suppose -16*u + u = -705. Calculate the remainder when 184 is divided by u.
43
Suppose h - 52 + 32 = 0. Suppose 5*d - 4*k - 393 = 0, -2*d + 2*k = -0*d - 158. Calculate the remainder when d is divided by h.
17
Suppose 4*v + q - 1272 = 5*q, -4*v = 5*q - 1272. Calculate the remainder when v is divided by 40.
38
Let p(a) = 2*a**3 - a + 5 + 4*a**3 - 7*a**3 - a + 7*a**2. Calculate the remainder when p(6) is divided by 8.
5
Let v = 62 + 121. Calculate the remainder when v is divided by 37.
35
Suppose -188*g = -201*g + 3237. Calculate the remainder when g is divided by 71.
36
Suppose 4*r + 3*v - 5*v =