t z(g) = 2*g**2 - 2*g + 339. What is the remainder when z(31) is divided by 71?
69
Let a(r) be the third derivative of 0*r + 1/120*r**6 + 1/12*r**4 + 1/30*r**5 + 8/3*r**3 + 0 - 6*r**2. Calculate the remainder when 46 is divided by a(0).
14
Suppose 38 = 10*y + 8. Suppose y*h - 4*h = -5*o + 57, 4*o - 50 = 3*h. Calculate the remainder when 18 is divided by o.
7
Let h = -312 + 442. Let v = 65 - 21. Suppose -f - v = -2*f. What is the remainder when h is divided by f?
42
Let h be ((-4)/3)/((-25)/(-150)). Let w(t) = 6*t + 9*t**2 + 2 + t**3 + 5*t - 5*t. What is the remainder when 69 is divided by w(h)?
15
Suppose 0 = -578*f + 383*f + 24570. Calculate the remainder when f is divided by 71.
55
Let s = 37508 - 33281. Calculate the remainder when s is divided by 249.
243
Suppose -16 = 4*g - 0*g. Let q(z) be the second derivative of 3*z**4/4 + 5*z**3/6 - z**2/2 + 125*z - 1. What is the remainder when q(g) is divided by 7?
4
Let w = -1137 - -2026. Let x = -775 + w. What is the remainder when 448 is divided by x?
106
Let p = 20336 - 19731. What is the remainder when p is divided by 20?
5
Let m(a) be the second derivative of a**5/20 - 3*a**4/4 + a**3/2 - 2*a**2 - 140*a. Calculate the remainder when 23*3 - 4/2 is divided by m(9).
21
Let v be ((-13)/(-11) + -1)/((-96)/(-1056)). Suppose -f = -v, 2*f - 352 = -2*z - f. What is the remainder when z is divided by 6?
5
Suppose -t - 111 = -4*m - 145, -t + 2*m + 26 = 0. Calculate the remainder when 934 is divided by t.
16
Suppose 2*u - l - 87 = 67, 0 = 3*l + 6. Suppose -3*r - 4*b + u = -177, 5*b = 20. Let v = -20 + r. What is the remainder when v is divided by 31?
28
Let u = 24 + 0. Let h = 14 + u. What is the remainder when h is divided by 10 - ((-2)/(-3) - -2 - (-10)/(-15))?
6
Let t be (-2)/8 + (-5502)/(-24). Suppose 4*u - 3*b = 2*b + t, -4*b - 275 = -5*u. Let v = u - 34. Calculate the remainder when 66 is divided by v.
15
Calculate the remainder when 885 is divided by -11 + -161*2/(-7).
10
What is the remainder when 936 is divided by 7 + (-252)/90*-5?
12
Let s(j) = -3*j**3 - 3*j**2 - j + 16. Let n be s(4). Let u = -79 - n. What is the remainder when u is divided by 38?
35
Let k = -1964 - -2013. What is the remainder when 6320 is divided by k?
48
Suppose 18261*r - 18277*r + 3440 = 0. Calculate the remainder when 1719 is divided by r.
214
Suppose 0 = -b - 5, 0*f = f - 2*b - 12. Suppose 4 = -f*q + 42. Suppose -6*t = -3*t + p - 287, -5*t = 3*p - 485. What is the remainder when t is divided by q?
18
Let r be (-1645)/188 - (-6)/8. Let g = r + 12. Calculate the remainder when 24 is divided by g.
0
Let x(j) = 6*j + 129. Suppose b = 2*b - 7. Suppose b*k = 8*k - 129. What is the remainder when k is divided by x(-16)?
30
Let l = -103 + 102. Let a be -2 + l + (-28)/(2 - 1). Let b = a + 72. What is the remainder when b is divided by 11?
8
Let f(d) = -3*d + 4. Let m(h) = -4*h + 4. Let r(o) = 7*f(o) - 6*m(o). Suppose 29*z - 28*z = 4. What is the remainder when r(z) is divided by 12?
4
Let w be 2 + ((-1)/(-3))/(5/30). Suppose 0 = z - 2*v - 15, -w*z - 8 + 82 = -v. What is the remainder when 75 is divided by z?
18
Suppose 5*s = -4*l - 16, l - 14 + 1 = 3*s. Let x be 2 + 0 + l + 790/10. Suppose -p = p - x. What is the remainder when p is divided by 7?
6
Suppose -3*p - 3*k = 2*p + 588, 5*k = -p - 100. Let w = p - -86. Let y = -22 - w. Calculate the remainder when 141 is divided by y.
9
Let d(i) = -3*i**2 - 18*i - 10. Let s be d(-5). Suppose 9*p - 4*p - 5*u = 5475, u + s = 0. What is the remainder when p is divided by 42?
40
Let b be 1*113 - (36 + -31). Suppose 4*u - 72 = -2*f, 5*u - 10*u + b = -2*f. Calculate the remainder when 58 is divided by u.
18
Let b(y) = -3*y + 27. Let f be b(6). Let m(w) = -2*w + 1. What is the remainder when m(-11) is divided by f/(-9)*(-5 + -1)?
5
Suppose -38*w = -43*w. Suppose -19*j - 128 + 622 = w. What is the remainder when 42 is divided by j?
16
Suppose h = -x + 28 + 49, 3*h - 385 = -5*x. What is the remainder when 6159 is divided by x?
76
Let i = -13486 + 14568. What is the remainder when i is divided by 1081?
1
Suppose 2*y = 5*p - 336, -p - 120 = -3*p - 4*y. Let u be (-66)/33*(-2 - 122/4). Suppose p*i = u*i + 16. Calculate the remainder when 46 is divided by i.
14
Let c = -7350 + 7582. What is the remainder when 464 is divided by c?
0
Let r = 72 + 8. Let u = -14282 - -14296. Calculate the remainder when r is divided by u.
10
Let c be 0/((-1 - 1)*1). Suppose c = -4*n + 21 + 31. Suppose 3*x + o = 12, -7 = -2*x - 5*o + 4*o. What is the remainder when n is divided by x?
3
Suppose 0*t - t + 90 = 0. Suppose 33*c + 65*c + 103*c = 804. What is the remainder when t is divided by c?
2
Let j(g) = 9*g**3 - 7*g - 4. Let y be j(-3). Let r = y - -238. What is the remainder when r is divided by 4?
0
Suppose -5*m + 1162 = -5*n - 48, -2*n - 729 = -3*m. Let y = -116 + 129. What is the remainder when m is divided by y?
11
Let z be 132 - (0 - (11 - 7)). Let n = z - 9. What is the remainder when n is divided by 30?
7
Let s = -326 - -329. Let q(u) = -72*u. Let v be q(-2). Suppose 5*d + s*m = v, -3*d - m + 138 = 2*d. What is the remainder when d is divided by 7?
6
Let n = -95 - -90. Let t be n/(-25) - (-224)/5. Suppose -4*h = -19 - t. Calculate the remainder when 93 is divided by h.
13
Let h be 9 - ((-2)/2)/1. Suppose 71*j = 72*j - h. Calculate the remainder when (51/2)/((-5)/120*-9) is divided by j.
8
What is the remainder when 2397 is divided by (-5)/(-10)*-1 + 270/12?
21
Suppose -9*m + 2*m = -63. Let z(r) = 2*r**2 - 13*r + 2. Let s be z(m). Let j = 66 - s. What is the remainder when 36 is divided by j?
17
Suppose -346*j - 112 = -174*j - 188*j. Let r(d) be the first derivative of 2*d**2 - 6*d - 2. What is the remainder when 79 is divided by r(j)?
13
Suppose 10719 = 57*i - 6894. Let l = -273 + i. Calculate the remainder when l is divided by 14.
8
Suppose 0 = u + 2*h - 12, -3*u + 54 - 3 = 3*h. What is the remainder when 188 is divided by u?
12
Let v = 19020 - 18994. What is the remainder when 15128 is divided by v?
22
Suppose -40*k + 24 = 26 - 122. Suppose 0 = -t - 0*t. Calculate the remainder when 13 - (t + -2 + 1) is divided by k.
2
Suppose 0 = -4*m + 29 + 183. What is the remainder when ((-153)/(-34))/(21/490) is divided by m?
52
Let w be 6/(-10)*375/(-45). Suppose -205 = 5*p + 2*q - 1200, 4*q = w*p - 995. Calculate the remainder when p is divided by 100.
99
Let p = 5230 - 5185. Calculate the remainder when 196 is divided by p.
16
Suppose 3*i = -4*m + 127, 0*m = 3*m + 2*i - 94. Suppose -38 = p + m. What is the remainder when 5/(2*(-3)/p) is divided by 15?
10
What is the remainder when 274 is divided by 8 + -4*((-15)/6 + 5/(-5))?
10
Let x = -194 - -312. Let b be 2 - 9/6 - (-878)/(-4). Let j = 239 + b. Calculate the remainder when x is divided by j.
18
Let j(s) = -s**3 - 59*s**2 + 7*s + 449. What is the remainder when 166 is divided by j(-59)?
22
Suppose 0 = 4*j - 24, 2*a = -14*j + 7*j + 122. Calculate the remainder when 171 is divided by a.
11
Suppose 0 = -7*b + 536 + 780. Suppose 149*f - 153*f + b = 0. What is the remainder when f is divided by 12?
11
Let s be (-1256)/(-12)*(-3 + (-18)/(-4)). Suppose 12*d - s = -13. Calculate the remainder when d is divided by 3.
0
Suppose -5*x + 4*n + 2381 = 0, 194*x - 192*x = -n + 968. What is the remainder when 3855 is divided by x?
7
Let d be 8*4/(40/(-5)). Let c(f) = -f**2. Let a(j) = -5*j**2 + 14*j + 3. Let m(z) = d*c(z) + a(z). What is the remainder when m(7) is divided by 18?
16
Suppose -3*r - 34 - 2 = 0. Let a be 4/6 + (r/(-9) - 2). Suppose -6*g + 366 = -a*g. Calculate the remainder when g is divided by 16.
13
Let c be 2414/8 - (-3)/12. Suppose -12*x + 1430 = c. Let s = -87 + x. What is the remainder when s is divided by 5?
2
Let f = -765 - -765. Let o(j) = -5*j - 3. What is the remainder when o(-5) is divided by f/(3 - 0) + 4/1?
2
Suppose -4*t = 4*a + 15 - 63, t + 4 = 3*a. Suppose 4*r - t = 0, v - 8 - 5 = -2*r. Calculate the remainder when 44 is divided by v.
8
Suppose 26143 = 27*t - 128729. What is the remainder when t is divided by 35?
31
Let m(d) = -11*d + 779. What is the remainder when 211 is divided by m(69)?
11
Let l(h) = 18*h + 3. Let f be l(1). Let t = f + -21. Suppose t*o = -4*o + 4. Calculate the remainder when 1 is divided by o.
0
Suppose 40*p - 3225 - 11475 = -30*