 a. Suppose -6*i + 174 + w = 0. What is the remainder when 96 is divided by i?
30
Let s(i) = i**3 - 11*i**2 + 12*i + 8. Let d be 2/(((-10)/(-3))/5). Let p(t) = 18*t. What is the remainder when p(d) is divided by s(10)?
26
Let g = -51 - -56. Suppose -496 = z - g*z. Calculate the remainder when z is divided by 25.
24
Let m = 157 + 27. Calculate the remainder when m is divided by 49.
37
Let b(s) = 43*s**3 - 1. Let l be 2 - (13 + 0 + 1). Let f be 1*-1 + (l - -14). Calculate the remainder when b(f) is divided by 11.
9
Let o(n) = 200*n - 10. Let j be o(4). Suppose 4*q + 3*w = 8*w + 1060, 3*q - j = 5*w. Calculate the remainder when q/12 - 2/(-4) is divided by 7.
2
Suppose s - 6 = -4*p + 10, 0 = -2*s + 4*p + 20. What is the remainder when 394 is divided by s?
10
What is the remainder when -15*(-38 - 0)/(33 - 23) is divided by 29?
28
What is the remainder when 226 is divided by ((-118)/(-4) - 0) + 93/(-186)?
23
Let k(p) = -18*p - 46. Calculate the remainder when k(-5) is divided by 17.
10
Let o(s) = s**2 + 9*s + 10. Let m be o(-8). Suppose -y - p + 21 = 0, m*y = -p - 4*p + 36. What is the remainder when 71 is divided by y?
2
Let d = -409 + 603. What is the remainder when d is divided by 65?
64
Suppose -2*y + i - 4 - 11 = 0, -5*y = 5*i + 30. Let j be -2 + y/(-1) + -3. Suppose -3*n + 290 = j*n. What is the remainder when n is divided by 15?
13
Let q be (-7704)/(-45) - 1/5. Suppose 58 = v - p, -v + 2*p + q = 2*v. What is the remainder when v is divided by 29?
26
Suppose -p + 6 = 2*p. Suppose -h + 44 = p*j + 3*h, -136 = -5*j + 3*h. What is the remainder when 129 is divided by j?
25
Suppose -372 = -10*j + 13*j. Let v = -71 - j. Calculate the remainder when v is divided by 29.
24
Let r(m) = 11*m**3 + m**2 - 8*m + 6. Let c be r(3). Suppose -25*n + 31*n = c. What is the remainder when n is divided by 17?
14
Let c = -66 - -119. Calculate the remainder when c is divided by ((-6)/8)/(-6 - 1290/(-216)).
26
Suppose 0 = 54*r - 44*r - 400. Calculate the remainder when r is divided by 30.
10
Let a be 0 - (3 + -33 - 2). Let y = -6 + a. Let b = -16 - -25. What is the remainder when y is divided by b?
8
What is the remainder when (3*-1)/((-75)/2800) is divided by 40?
32
Let s(o) = -o - 5. Let p be s(-11). Calculate the remainder when 35 is divided by (132/30)/(p/15) - 2.
8
Calculate the remainder when (933/(-2))/(156/(-104)) is divided by 45.
41
Calculate the remainder when 315 is divided by (-23 + -135)*(1/(-2) - 0).
78
Let s = -3 + 8. Let i(u) = 7*u + 1 - s + 2 + 4. What is the remainder when i(7) is divided by 26?
25
Suppose 2*b = 4*b - 8, 5*y - 5*b = 240. Suppose -3*x = -2*g - 6*x + 34, -4*g - 3*x + 62 = 0. What is the remainder when y is divided by g?
10
Let b(i) = i**2 - 17*i + 31. What is the remainder when 102 is divided by b(16)?
12
Suppose -10*k = -15*k + 1760. Suppose 0 = -10*m + k + 18. Calculate the remainder when 117 is divided by m.
6
Let h(p) = -9*p + 102. What is the remainder when 283 is divided by h(10)?
7
Let w(p) = 28*p - 222. Let f(t) = -15*t - 1. What is the remainder when w(11) is divided by f(-2)?
28
Let j(x) = 27*x**2 - x. Let q be 58*(-3 + (-14)/(-4)). Suppose 0 = -2*r - q + 27. What is the remainder when j(r) is divided by 11?
6
Let f(a) = -4*a**3 - 4*a**2 - 2. Suppose 28*l = 27*l + 96. Let r = -72 + l. Calculate the remainder when f(-3) is divided by r.
22
Suppose -5*s - 4*a + 221 = 0, 20*a = 3*s + 25*a - 130. Suppose 0 = 5*y - 66 + 16. Calculate the remainder when s is divided by y.
5
Let d = -9 - -6. Let u be (-498)/d*2/4. Suppose 5*z + y - 73 = 0, 5*z + 2*y - 6*y = u. Calculate the remainder when 72 is divided by z.
12
Let v(a) be the third derivative of 1/6*a**3 + 0 + 5*a**2 - 7/12*a**4 + 0*a. What is the remainder when 27 is divided by v(-1)?
12
Suppose -5*o = 23*o - 48580. Calculate the remainder when o is divided by 62.
61
Suppose 48*j = v + 50*j - 277, 4*j = 4*v - 1156. Calculate the remainder when v is divided by 13.
12
Suppose -4*w = -3*x - 480, w + 36*x = 35*x + 113. What is the remainder when w is divided by 58?
1
Let a(w) = -19*w + 1186. What is the remainder when a(60) is divided by 18?
10
Suppose k = 3*k - 118. Suppose 5*g - 609 = -k. Calculate the remainder when g is divided by 28.
26
Suppose 4*m - 24 = -4*s, -3*s - 39 + 17 = -5*m. Suppose -4*w = m*u - 15, 13 = 2*w - 0*w - 3*u. What is the remainder when 59 is divided by w/(-3)*(-5 - 7)?
19
Suppose -r - 38 = -124. Calculate the remainder when r is divided by 38.
10
Let j(d) = -8*d**2 - 31*d + 3. Suppose 4*b - 8 - 48 = 0. Calculate the remainder when j(-3) is divided by b.
10
Suppose -9*n = -11*n - 4. Let q(v) = -39*v - 4. What is the remainder when q(n) is divided by 38?
36
Suppose -35 + 146 = 3*g. Let t(z) = 2*z + 41. Let v be t(-23). What is the remainder when g is divided by v/(-20) - -1*39/4?
7
Suppose 0 = -5*o - 5*r + 25, 9*o = 13*o - 5*r - 56. Let k(u) = 15*u + 1. What is the remainder when k(1) is divided by o?
7
Suppose 4*j + 12 = -2*s - 2*s, -j + 3 = -s. Suppose j*y = -5*y + 260. What is the remainder when y is divided by 28?
24
Suppose 34 = p + 89. Let h = p + 78. What is the remainder when h is divided by 12?
11
Suppose -2*d + 192 = 2*d. Let o(k) = -k**2 - 109*k - 525. What is the remainder when o(-102) is divided by d?
45
Suppose 3*k + 266 = 92. Let i = 79 + k. What is the remainder when 81 is divided by i?
18
Suppose 4 = -2*n + f + 8, -2*n - 2*f + 10 = 0. Let a be (-30)/n*-2 + -3. Suppose -2*q + 17 = -a. What is the remainder when q is divided by 6?
5
What is the remainder when -3*(-345)/(-3 - -8) is divided by 63?
18
What is the remainder when 49*7*186/217 is divided by 27?
24
Calculate the remainder when 4*(-1)/(-4)*(383 - 1) is divided by 77.
74
Let d = 32 + -15. Let m = 56 - d. Calculate the remainder when m is divided by 21.
18
Suppose 0 = 3*c - 12 - 3. Suppose z - 25 = -c*i, i + z = -3 + 12. Suppose 0 = -4*s + 28 + 28. Calculate the remainder when s is divided by i.
2
Let p = 17 + -1. Let x = -81 + 140. What is the remainder when x is divided by p?
11
What is the remainder when 222 is divided by (-83)/(-996) - (-335)/12?
26
Suppose 0 = -3*h + 2*m + 19 + 27, 4*h - 4*m = 56. Calculate the remainder when 124 is divided by h.
16
Let y(w) = -w**3 + 11*w**2 + 3*w - 23. Suppose 2*v + 121 = 2*k - 113, 3*k + 4*v - 365 = 0. Let t = -82 + k. Calculate the remainder when t is divided by y(11).
7
Suppose -7*u = -160 + 20. What is the remainder when 35 is divided by u?
15
Let d(x) = x**2 + 33*x - 473. Calculate the remainder when 217*(2 + -2 - -1) is divided by d(-44).
8
Suppose 10*m = 8*m + 4. Suppose 1 = -2*o + 9. What is the remainder when o is divided by m?
0
Suppose 3*w - 44 = -w. Let o(d) = 7*d**2 - 116*d - 357. Calculate the remainder when o(-3) is divided by w.
10
Suppose 9 - 1 = -4*g. Let q(j) = -3*j**3 - 2*j**2 - 2*j. Let m(a) = a**3 - 4*a**2 + 4*a - 7. What is the remainder when m(5) is divided by q(g)?
18
Let l(v) = v**2 + 6*v + 17. Calculate the remainder when 167 is divided by l(-3).
7
Let k(d) = 5*d**2 + 4*d + 2. Let c be k(-1). Suppose -5*y + 143 = c*x + 46, x + 4*y - 44 = 0. Calculate the remainder when 68 is divided by x.
20
Let z(q) = -q + 2. Let l be (0 + 3)*(-21)/9. Let t be (3/(-2))/(l/(-28)). What is the remainder when 13 is divided by z(t)?
5
Let b(m) = -m**2 + 40*m - 298. What is the remainder when 121 is divided by b(29)?
16
Suppose 0 = -5*g + 10. Suppose g*u - 113 = -5*t, 112 = -u + 3*u + 4*t. Let d = 332 - 313. Calculate the remainder when u is divided by d.
16
Suppose -2*x - 1 = 3, 0 = -4*t + 3*x + 46. Calculate the remainder when 86 is divided by t.
6
Let s = -787 - -800. Let f = -8 - -12. What is the remainder when s is divided by f?
1
Suppose 18 + 90 = 4*t + 4*i, i - 49 = -2*t. Let f(m) = 66*m - 1. What is the remainder when f(1) is divided by t?
21
Let v be (-3 - 0) + 162/18. Suppose 568 = v*k + 2*k. What is the remainder when k is divided by 24?
23
Let s(b) = -b**3 - 17*b**2 - 15*b + 74. What is the remainder when s(-16) is divided by 34?
24
What is the remainder when 154/4*13*(-12)/(-78) is divided by 19?
1
Let a be (-2 - 2 - -2) + -2 + 7. Let g(b) = 5*b**2 - b + 2. What is the remainder when g(-2) is divided by a/3 - (-6)/1?
3
Let m = -3045 - -3083. Calculate the remainder when 164 is divided by m.
12
Let x(l) = 2*l**2 + 4*l - 24. 