when 38 is divided by d(p).
8
Let o(u) = 51*u**3 - 2*u**2 - u + 3. Let v(a) = -25*a**3 + a**2 - 1. Let g(c) = 2*o(c) + 5*v(c). What is the remainder when g(-2) is divided by 50?
43
Let k(u) = -6*u - 49. Let z(h) = h**3 + 18*h**2 + 16*h - 14. Let a be z(-17). Let w be 1*(a + 2) - 16. What is the remainder when k(w) is divided by 2?
1
Suppose -144 = -8*g + 144. What is the remainder when 78 is divided by g?
6
Let j(f) = f**2 - 2*f + 4. Let m = 386 + -367. Suppose m*x - 21*x + 32 = 0. Calculate the remainder when j(6) is divided by x.
12
Suppose 3*a + 3 - 39 = 0. What is the remainder when (15 - 111/(-6)) + 3/(-6) is divided by a?
9
Let q be 9/15 - 1 - (-4)/10. Let l(b) be the first derivative of -b**3/3 + 7*b + 7. What is the remainder when 16 is divided by l(q)?
2
Let q(i) = i**2 - 9*i + 14. Let n be q(7). What is the remainder when 64 is divided by 265/106*(n + 8)?
4
Let g(z) = 328*z - 2411. What is the remainder when g(8) is divided by 141?
72
Suppose 21*l = -4*l + 206 + 394. What is the remainder when 417 is divided by l?
9
Suppose 0*p - 540 = -6*p. Suppose 5*i + p = 310. Let w = -28 + i. Calculate the remainder when w is divided by 6.
4
Let l = 270 - 260. Suppose -3*q - l = -4*r + 49, -4*r = -2*q - 54. What is the remainder when 53 is divided by r?
9
Let x(t) be the third derivative of t**6/120 + t**5/6 + t**4/12 + 3*t**3 - 25*t**2. What is the remainder when x(-9) is divided by (-4140)/(-99) - (-2)/11?
39
Suppose -w + 11 = -21. Suppose 218*n - 260*n = -3444. Calculate the remainder when n is divided by w.
18
Let t(j) = -j**3 - 8*j**2 - 7*j. Let r be t(-7). Let y = -162 + 126. What is the remainder when (-108)/y - -82*(1 + r) is divided by 30?
25
Let r = -3492 + 3510. Let o(f) = -f + 7. Let b be o(7). Suppose 5*k = -3*v + 46, -4*k + 5 + 15 = b. What is the remainder when r is divided by v?
4
Suppose -1426*a = -1439*a + 455. Let s = 831 - 449. Calculate the remainder when s is divided by a.
32
Let t(b) = 5*b**2 - 70*b - 598. What is the remainder when 3972 is divided by t(-7)?
136
Suppose 88*t - 88 = 85*t + 4*s, 3*t - 83 = 5*s. What is the remainder when 57 is divided by t?
21
Let m be ((-3)/2)/(4/(-8)). Suppose -4*u - 47 = -i, 0 = -2*u - m*i - 25 - 2. What is the remainder when ((-3)/u*-11)/((-1)/8) is divided by 7?
1
Let y(b) = -7*b**2 + 293*b - 254. Calculate the remainder when y(36) is divided by 49.
46
Suppose 0 = -46*a + 36*a + 100. Suppose 0 = a*q - 234 - 16. Calculate the remainder when 91 is divided by q.
16
Let p be 2/(-10) + (-418)/10. Let o = 1388 - 1306. Let n = o + p. Calculate the remainder when 115 is divided by n.
35
Suppose t + 15*o - 346 = 19*o, -2*t = 3*o - 659. Calculate the remainder when t is divided by 75.
34
Suppose -g = g - s - 32, 5*g = 5*s + 80. Let b(w) be the second derivative of w**3/6 + 23*w**2/2 - 5*w - 8. Calculate the remainder when g is divided by b(-14).
7
Suppose 5*d = 11 + 9, 3*k = d + 203. Suppose 0 = 4*c - 2*b - 50, c + 3*b - 23 - 7 = 0. Suppose -5 = -t + c. What is the remainder when k is divided by t?
9
Suppose 5*o + 54 = 7*o. Suppose 9*g = 12*g - 12. Suppose -26 = -g*d + d - 2*x, -3*d + 4*x = -38. What is the remainder when o is divided by d?
7
Suppose -2*a - 4*u + 8*u + 20 = 0, a + 14 = -4*u. Suppose -6*c + c = -5*b + 45, 3*b - 12 = -a*c. Calculate the remainder when 14 is divided by b.
2
Let u(v) = -v**3 - v**2 + 16*v - 21. Let o be u(-9). Suppose -2*x - 357 = -5*x + 4*d, -4*x + 3*d + o = 0. What is the remainder when x is divided by 32?
27
Let a(l) = -l + 13. Let q(r) = 35*r + 35. Let k be q(-12). Calculate the remainder when (-3)/((-5)/(k/(-3))) is divided by a(0).
12
Suppose 9*o = 16*o - 49, -o - 549 = -4*d. Calculate the remainder when 19042 is divided by d.
138
Let n = -80 + 72. Let j be (15 - (n - -8))*(2 - -1). Let s = 100 - j. Calculate the remainder when s is divided by 31.
24
Suppose -2*o + 3 = -s, -3*s - 3*o + 27 = -0*o. Let n(f) = -f**2 - 3*f + 12. Let h be n(-5). What is the remainder when s is divided by h + (-2 - -5) - 1?
1
Let i(w) = -w - 40 + 2*w + 3*w + 3*w. Let l(g) = 16*g - 4. Calculate the remainder when l(4) is divided by i(7).
6
Suppose -k - 1 = -4. Suppose -15 = k*l, 0 = -4*i + 2*l + 116 + 110. Suppose -34*j + 8386 = 7434. Calculate the remainder when i is divided by j.
26
Let p = 69 - 33. Let r be (0 - (0 + -3))/((-9)/(-15)). Calculate the remainder when p is divided by ((-2)/8)/(r/(-260)).
10
Let r(v) = v**2 - 12*v - 79. Suppose -5*u + 2*u = 5*k - 183, -3*u = 4*k - 147. What is the remainder when r(20) is divided by k?
9
Let t = -181 + 205. What is the remainder when 716 is divided by t?
20
Let r = 20764 + -20532. Calculate the remainder when 916 is divided by r.
220
Suppose 4*h + 4 = 148. Suppose -5*n + 11*n - h = 0. Suppose n*y = 3*y + 126. What is the remainder when y is divided by 11?
9
Let b be (-96)/(-40) - (-2)/(-5). Suppose p = -b*a + 49, -2*a - 3*p - 53 = -4*a. What is the remainder when a is divided by 19?
6
Suppose 75*r + 2280 = 3*t + 80*r, 5*r = 3*t - 2310. Calculate the remainder when t is divided by 12.
9
Suppose 31*p - 969 = -8 + 682. Calculate the remainder when 1306 is divided by p.
34
Let o(g) = -6*g**2 + 1. Let s be o(1). Let k = s - -17. Let v = 27 - -20. Calculate the remainder when v is divided by k.
11
Let w(z) = 58*z**3 + 4*z**2 - 15*z + 23. Calculate the remainder when w(2) is divided by 68.
65
Let y(h) = -69*h - 1017. What is the remainder when 58 is divided by y(-15)?
4
Let g be ((-3)/6)/(7 - 166/24). Let j(h) = h**2. Let o(y) = -2*y**2 + 7*y + 8. Let f(l) = 3*j(l) + o(l). What is the remainder when f(g) is divided by 2?
0
Let r be (1 + 10/(-5))*-49. Suppose -33 = -i + 4. Let h = r - i. What is the remainder when 18 is divided by h?
6
Let n = 317 - 213. Calculate the remainder when 1759 is divided by n.
95
Suppose 50 + 43 = 3*o. Suppose -857 = -3*a + 5*b, 5*b = -2*a + 4*a - 573. Let r = a + -131. Calculate the remainder when r is divided by o.
29
Let m = 70 + -35. Let p = 50 + -41. Let r = 18 - p. Calculate the remainder when m is divided by r.
8
Suppose 24*q - 144*q + 12840 = -13*q. Let t(o) = -o**2 + o + 14. Calculate the remainder when q is divided by t(0).
8
Let m(a) = a**2 + 5*a. Let x be m(-6). Suppose x*b - 84 = 2*b. Let k = -141349 + 141410. What is the remainder when k is divided by b?
19
Let j = -693 + 699. Calculate the remainder when ((-2)/8*-2)/(2/68) is divided by j.
5
Let v(o) = 16*o - 1630. Suppose -3*x = -8*x + 20, 2*p - 4*x - 142 = 0. What is the remainder when p is divided by v(105)?
29
Suppose -12*l - 59*l - 29*l = -1533500. Calculate the remainder when l is divided by 118.
113
Let s = -2262 - -2341. Let a = 15 + 0. What is the remainder when 41 is divided by s/5 + 3/a?
9
Suppose 149 = -4*a - 135. Let h = 170 + a. Suppose -80*b - h = -83*b. What is the remainder when 164 is divided by b?
32
Suppose -3*h + h + 30 = 0. Let m = -57 - -77. Suppose -230 = -5*i - m. Calculate the remainder when i is divided by h.
12
Let c(r) = -r**2 - 18*r - 13. Let u be c(-10). Suppose -4*f = 185 + u. Let w = 82 + f. What is the remainder when 32 is divided by w?
13
Let c(x) = -49*x - 1804. What is the remainder when 387 is divided by c(-37)?
0
Let n(r) be the third derivative of -r**6/120 + r**4/12 - 175*r**3/6 + 11*r**2. Let y be n(0). Let v = 276 + y. What is the remainder when v is divided by 26?
23
Suppose -g + 44*k - 40*k = -55, 0 = -2*g - 9*k + 42. Calculate the remainder when 288 is divided by g.
15
Suppose 5*q + 0*v = 3*v - 1162, -2*q + 3*v - 472 = 0. Let x = -217 - q. Calculate the remainder when x is divided by 8.
5
Suppose -10*q + 359 = -1871. Suppose -r - 4*z + q = -227, 0 = 5*r - z - 2187. What is the remainder when r is divided by 21?
18
Let y be (-356)/(-16) + (-3)/12. What is the remainder when (y/55)/(1 + 0)*445 is divided by 20?
18
Suppose -2*b = f + 195, -6*b = -11*b + 5*f - 465. Let z be (-20)/(-4)*102/(-10). Let w = z - b. What is the remainder when 129 is divided by w?
39
Let n = -59 + 63. Suppose l - n*x = -3*l - 20, -5*x = 5*l - 5. Calculate the remainder when 35 is divided by 2 - (l - -5) - -14.
9
Let z = -80 - -109. Suppose 4*s = 4, 4*m + s = z + 12. Calculate the remainder when (m/15)/(1 + (-61)/63) is divided by 8.
5
Suppose 0 = 2*p + 3*v - 347, 11*p - 17*p = -2*v - 1030. What is the remainder when p is divided b