t(z) be the first derivative of -9/2*z**2 + 13 - 3*z. What is the remainder when 27 is divided by t(-1)?
3
Suppose 2*b - 247 + 28 = -5*k, 4*b - 94 = -2*k. What is the remainder when k is divided by (6 + -17)/(1/1 + -2)?
10
Suppose 4*d + 124 - 600 = 4*v, -461 = -4*d + v. Suppose x - 23 = -2*x + c, 12 = 3*c. Calculate the remainder when d is divided by x.
6
Let i be (-13)/(-13) - 8/(-2). Calculate the remainder when 202/i + 6/(-15) is divided by 8.
0
Let v = -60 + 244. Let w be (-12)/18 + v/6. Suppose 0*i = -2*i + w. What is the remainder when i is divided by 6?
3
Let s(p) = -9*p + 12. Let u(v) = -10*v + 13. Let f(t) = -6*s(t) + 5*u(t). What is the remainder when 50 is divided by f(5)?
11
Let w(b) = -4*b**3 + 4 - 2*b + b - 3*b**2 + 2*b**3 + b**3. What is the remainder when 27 is divided by w(-3)?
6
Let t(o) = -64*o + 264. What is the remainder when 453 is divided by t(4)?
5
Suppose -91 + 13 = -6*h. Let v = 36 + h. Calculate the remainder when v is divided by 10.
9
Suppose 28*w = 32*w + 3*d - 61, 12 = 4*d. What is the remainder when 1 - 2*(-52 - -1) is divided by w?
12
Let r = 30 - 33. Let b be -4 - (1 + r + -4). Suppose 0*d + b*d = 4*m, -21 = -2*d - 3*m. Calculate the remainder when d is divided by 2.
0
Let g = 21 + -19. Suppose g*d + 81 = 5*d. What is the remainder when d is divided by 8?
3
Suppose -3*x = 0, -4*a + 0*a - 12 = 3*x. Let c be a*6/(-9) + 32. Suppose 2*f - c = -0*f. Calculate the remainder when 49 is divided by f.
15
Suppose -t + 2*z + 392 = -2*z, 3*t - 1111 = -z. What is the remainder when t is divided by 75?
72
What is the remainder when 2282/4 + 51/34 is divided by 25?
22
Let b = 393 + -384. Suppose t = -0*t + 23. What is the remainder when t is divided by b?
5
Suppose -35*d + 230 = -25*d. Calculate the remainder when 313 is divided by d.
14
Let t(n) = n**2 + 6*n + 22. Let x be t(-11). Let i = 97 - x. Calculate the remainder when 76 is divided by i.
16
Suppose -2*k + 5*x - 7 = 0, -4*k + 16 = 5*x - 45. Let z(w) = 2*w + 9. Suppose 14 = 3*d - d. What is the remainder when z(k) is divided by d?
6
Suppose 0 = -3*h - 2*b - 2*b + 48, 2*b = 2*h - 46. Let q = 1 - -32. Let v = q - h. Calculate the remainder when 25 is divided by v.
12
Let l = -1397 - -1461. What is the remainder when 264 is divided by l?
8
Calculate the remainder when 104 is divided by (8/30)/(20/(-30))*-30.
8
Let z(p) = 2*p**2 + 8*p - 35. Calculate the remainder when z(15) is divided by 67.
66
Let x = 781 - 750. Calculate the remainder when 110 is divided by x.
17
Suppose -9 = q - 55. Calculate the remainder when q is divided by (30/(-9)*48/(-5))/2.
14
Suppose -5*a - 69 + 218 = r, 5*a - 2*r - 137 = 0. Suppose 0 = 6*x - x. What is the remainder when a is divided by (-3 - -11) + x + -2?
5
Let y(p) = -17*p**3 + 2*p**2 - p. Let v = -14 + 15. Let w be y(v). What is the remainder when 69 is divided by w/6*(-27)/4?
15
Let s(h) = 10*h - 17. Calculate the remainder when 19 is divided by s(2).
1
Let j(m) = -2*m. Calculate the remainder when ((-114)/(-8))/((-252)/(-336)) is divided by j(-4).
3
Let w = 49 - 89. What is the remainder when (0 - 12)*6/(-4) is divided by (-50)/(-4)*(-32)/w?
8
Let d be ((-43)/4)/((-7)/28). Suppose 4*t = -4*f + 132, 0 = f - 2*f + 4*t + d. Calculate the remainder when f is divided by 12.
11
Let o(j) = j**3 - 2*j**2 - 7*j - 2. Let i be o(4). Let p(k) = i*k + k - k**3 - k**2 + k - 5*k + 17. What is the remainder when 50 is divided by p(0)?
16
Let b(p) = 12*p - 131. Let d(u) = 4*u - 44. Let s(r) = -6*b(r) + 17*d(r). Calculate the remainder when 35 is divided by s(8).
5
Suppose 0 = 4*l - 2*t - 188, -2*t = -2*l + 2*t + 82. Let g = 56 - l. What is the remainder when 34 is divided by g?
6
Let q be 2/(-9) - (-1337)/63. What is the remainder when (-6)/q - (-64)/28 is divided by 2?
0
Let n(l) = 3*l + 13. Let t be n(-14). Let k = t - -40. Suppose z + 20 = 5*z. What is the remainder when k is divided by z?
1
Let r(t) = t**3 + 6*t**2 - 8. Calculate the remainder when 133 is divided by r(-5).
14
Let o(l) = 2*l**3 - 3*l**2 + l + 7. Let b be -4*(-1)/16*6*2. Suppose 2 + 13 = v - i, -45 = -2*v + 5*i. Calculate the remainder when o(b) is divided by v.
7
Suppose -5*t + 375 = -0*t + 5*g, 211 = 3*t - 4*g. Calculate the remainder when 288 is divided by t.
69
Let q(s) be the second derivative of s**4/12 - s**3/6 + 4*s**2 - 9*s. What is the remainder when 11 is divided by q(0)?
3
Suppose -5*j + 10*j = -5*d + 215, -j - 5*d + 35 = 0. Calculate the remainder when 161 is divided by j.
26
Let p = -519 - -751. Suppose 20 = 5*q, q = 4*i - 2*i - p. Calculate the remainder when i is divided by 40.
38
Let a(t) = t**2 - 3. Let r be a(0). Let z = r + 8. Suppose 2*n - 2*x - 130 = 0, 0 = 3*n - 4*x - 185 - z. Calculate the remainder when n is divided by 24.
22
Suppose -828 = -11*m - 58. Suppose -5*j + 210 = m. Calculate the remainder when j is divided by 9.
1
Suppose 19 = -6*j + 25. Let k = 6 - j. Calculate the remainder when k is divided by 2.
1
Let d = -23 - -47. Let q(n) = n - 11. Let b be q(13). Suppose 3*g - d = b*g. What is the remainder when g is divided by 9?
6
Let a(y) = y**3 - 2*y**2 - 3*y + 3. Suppose -23 = -3*l + d, -l + 7*d + 9 = 8*d. What is the remainder when l is divided by a(3)?
2
Suppose -43*s + 20*s = -1725. What is the remainder when 138 is divided by s?
63
Suppose 2*s = -5*n + 60, 3*s + 3*n - 28 - 53 = 0. What is the remainder when 94 is divided by s?
19
Suppose -5935 - 171 = -71*y. What is the remainder when 276 is divided by y?
18
Calculate the remainder when 4083/27 - (60/27 - 2) is divided by 7.
4
Suppose -6*n - 3*g = -8*n + 299, -753 = -5*n + 2*g. Calculate the remainder when n is divided by 39.
34
Let k = -4 + -8. Let m = k - -12. Suppose m = -y + 19 - 1. What is the remainder when 34 is divided by y?
16
Let y = 1025 - 986. Calculate the remainder when 153 is divided by y.
36
What is the remainder when 700 is divided by ((-9)/(-4))/(-3) + 13135/148?
84
Suppose 0 = 28*o - 15*o - 143. Suppose z - 49 - 38 = 0. Calculate the remainder when z is divided by o.
10
What is the remainder when 98 is divided by 38 + 10/6*-3?
32
Suppose 3*u + 80 = -2*u. Let l = u + 17. What is the remainder when 106/12 - l/(-6) is divided by 5?
4
Let k(a) = -5*a + 12. Let n(c) = -c. Let u(x) = k(x) - 4*n(x). Let y be u(9). Let v(p) = p**2 + 3*p - 1. What is the remainder when 33 is divided by v(y)?
16
Let o = 4 + -1. Calculate the remainder when 59 is divided by (10/25)/(o/90).
11
Let d = -5 + 7. Suppose -4 - 21 = -5*a. Suppose a*l + 2*o - 40 = 0, l + 21 = d*l + 3*o. Calculate the remainder when 17 is divided by l.
5
Let l be (-178 + 2)*(0 - 1). Let z = l + -113. Suppose 3*y - 5*u = 43, 3*y - 37 = -2*u + 13. Calculate the remainder when z is divided by y.
15
Let p(r) = 36*r - 9. Let v(x) = 37*x - 10. Let j(y) = -5*p(y) + 4*v(y). What is the remainder when j(-2) is divided by 18?
15
Let d(k) = -5*k - 112. What is the remainder when 107 is divided by d(-26)?
17
Suppose 2*v + 60 = 6*v. Let j be 25/v + (-2)/3. What is the remainder when 38 - (-2)/(-1) - j is divided by 12?
11
Let p(b) = b**2 - b + 23. What is the remainder when 94 is divided by p(0)?
2
Let x be (-4)/(-16) + (-13)/4. Suppose 3*n - 10 = 5. What is the remainder when (-55)/(-4) - x/12 is divided by n?
4
Let f(q) = -q + 7. Calculate the remainder when 18 is divided by f(-3).
8
Suppose 2*m + 5*i = 553, 3*i = 2*m - 289 - 272. What is the remainder when m is divided by 10?
9
Suppose -307 = -t - 142. Calculate the remainder when t is divided by 17.
12
Suppose 5*s + 2*c = 320, 5*s + 4*c - 292 = 28. What is the remainder when s is divided by 38?
26
Suppose 2*w - 2*u - 20 = 0, 4*u + 38 = 3*w + 4. What is the remainder when 1/1 + (-7 - -6 - -11) is divided by w?
5
Suppose 295*v = 305*v - 3030. What is the remainder when v is divided by 17?
14
Let y = -17 + 17. Suppose -3*c + 5*g + 74 = -14, -c - 4*g + 18 = y. What is the remainder when c is divided by 6?
2
Let z = 161 + -94. Suppose 2*f = -6*k + 10*k + 54, k - 39 = -f. Calculate the remainder when z is divided by f.
32
Suppose -29*o + 102 + 130 = 0. Calculate the remainder when -2*26/(-4) - -1 is divided by o.
6
Let z(f) = f + 27. Suppose 2*x + 3 = -25. Calculate the remainder when 37 is divided by z(x).
11
Let j be 3 + (-6)/(-1 + 3). Suppose v = -j*l - 3*l + 134, 0 = l. Calculate the remaind