cond derivative of 9*y**4/2 + y**3/2 - 2*y**2 + 31*y. Let b be c(-2). Calculate the remainder when 48/(-9) + 5 - b/(-6) is divided by 10.
4
Let f(c) = 2*c**2 + 34*c + 307. What is the remainder when f(-18) is divided by 36?
19
Let r(h) = -2*h**2 - 57*h - 160. Suppose 4*w - 274 = 158. What is the remainder when w is divided by r(-24)?
52
Suppose 0 = -m - 4*y - 6, 4*m - 108 = 3*y - 18. Suppose -5*j + 258 = -2*j. Calculate the remainder when j is divided by m.
14
Let w be (-1 + 4 + -4)/((-1)/221). Suppose w - 1394 = -3*r. Calculate the remainder when r is divided by 99.
94
Suppose -405 - 498 - 82 = -5*g. What is the remainder when 765 is divided by g?
174
Suppose -2*j = 5*a + 22, 2*a = -0*j - 3*j - 11. Let l(p) = -3*p + 84. What is the remainder when 573 is divided by l(a)?
93
Let b be 22/(-5) - 4/(-10). Let n = 57758 - 57716. Calculate the remainder when n is divided by (0 - -2)*(-22)/b.
9
What is the remainder when (5 + 1 - 9700/(-12))*6/7 is divided by 32?
26
Let y = -56 + 92. Suppose -63*t + 35*t + 27*t + 179 = 0. Calculate the remainder when t is divided by y.
35
Suppose -6*v = -9*v + 5*x + 1248, 5*x + 827 = 2*v. What is the remainder when v is divided by 50?
21
Let q = 75 + -75. Suppose q*l - 8 = -4*l. Suppose 20 = 5*u, -4*u - 11 = l*o - 149. Calculate the remainder when o is divided by 22.
17
Let b(j) = j**2 + 3*j - 2. Calculate the remainder when (1 + 87)/((67 - -1)/34) is divided by b(2).
4
Let o be -168 - ((-2)/(-6) + (-12)/9). Let q = o + 181. Let h = 41 - 15. What is the remainder when h is divided by q?
12
Let i = 3991 - -2598. Calculate the remainder when i is divided by 97.
90
Let s = 4693 + -4652. Calculate the remainder when 194 is divided by s.
30
Let f = 10060 - 9795. Calculate the remainder when f is divided by 194.
71
Suppose -2*d + 5*y + 60 = -13, -4*y = -3*d + 120. Calculate the remainder when d is divided by (3/(-1))/((-11)/33).
8
Let d(k) = k**2 + 4*k - 39. Let b be (-224)/140*((-15)/(-2))/1. Calculate the remainder when d(b) is divided by (1 + (-4)/28)*35.
27
Suppose 0 = 13*a - 4*a - 27. Let c(t) = 96*t + 4. What is the remainder when c(a) is divided by 49?
47
Let i(d) = -18*d + 67. Let q be i(14). Let c = 190 + q. What is the remainder when c is divided by 1?
0
Let b = 4756 + -4717. Suppose -4*c - 4*n = -1244, 0 = -0*c + 4*c - n - 1239. What is the remainder when c is divided by b?
37
Let q be 48/(-36) - (-134)/6. Calculate the remainder when (q - 12)*(-38)/(-3) is divided by 41.
32
Suppose -5*o + 3241 = 2*b, -23*o - 2591 = -27*o - b. What is the remainder when o is divided by 20?
7
Let d(i) = -21*i - 807. Suppose 2*n = 3*a + 11 + 18, -3*a + 103 = 4*n. Calculate the remainder when d(-42) is divided by n.
9
Suppose -18*j = -y + 48 + 98, 2*j = -3*y - 10. Calculate the remainder when 556 is divided by y.
0
Let d(h) = h - 15. Let f be d(7). Let q = 31 + f. Suppose c - 198 = -2*c. What is the remainder when c is divided by q?
20
Let i(p) = -p**3 + 50*p**2 - 396*p + 43. Let m(q) = 12*q**2 + 3*q - 3. What is the remainder when i(40) is divided by m(2)?
50
Calculate the remainder when 1*-5925*(-10)/30 is divided by 152.
151
Let i(o) = 1. Let c(f) = 2*f - 4*f - 183 + 196 - 3*f. Let j(t) = c(t) - 2*i(t). What is the remainder when 59 is divided by j(0)?
4
Let y(r) = -r**3 + 8*r**2 - 8*r + 3. Let s(w) = -2*w**2 - 294*w + 2175. Calculate the remainder when y(6) is divided by s(7).
8
Let t be 2/13 - (-486)/(-117). What is the remainder when 90 is divided by t/(-22) + 0 + (-5916)/(-374)?
10
Let q(l) = 10*l - 81. Suppose 3*k = -3*f + 3, -2*k + 2*f = k - 28. Let z = 47 + k. What is the remainder when z is divided by q(10)?
15
Suppose 4*m - 3*s - 8 = -147, 4*m - 2*s + 134 = 0. Suppose 0 = 6*p - 3*p, 55 = -u + 3*p. Let i = m - u. Calculate the remainder when i is divided by 13.
11
Let b = 306 - 309. Let v(n) = -8*n + 23. What is the remainder when 133 is divided by v(b)?
39
Let b(u) = -17*u + 105. Suppose -4*w + 8 = 0, -4*w = 4*n - w - 154. Calculate the remainder when b(2) is divided by n.
34
Let l(d) = -25*d**3 + 4*d - 3. Let r be l(1). What is the remainder when 46 is divided by ((-40)/16)/(5/r)?
10
Let g = 17543 - 14752. What is the remainder when g is divided by 80?
71
Let b(x) = -406*x - 4909. Calculate the remainder when b(-33) is divided by 44.
41
Let w = -51 - -56. Let u be (4/w)/(10/(-325)*-1). Let m = 30 - u. Calculate the remainder when 34 is divided by m.
2
Suppose 3*r = -g + 43, 2*r + 4*g - 30 = 3*g. Suppose -6*z + 9*z = 2*n + 141, z = 5*n + 47. What is the remainder when z is divided by r?
8
What is the remainder when 3 + (-4)/(-2)*(5652/24 - 7) is divided by 20?
0
Let r be 828/48 + (6/8 - 0). Calculate the remainder when 69 is divided by 0 - ((-112)/(-12))/((-12)/r).
13
Let d(u) = -106*u + 519. Let k(y) = 37*y - 173. Let v(p) = 4*d(p) + 11*k(p). Calculate the remainder when v(7) is divided by 23.
8
Let y be (-1)/(-3 + (-18790)/(-6260)). Let z = y - -637. What is the remainder when z is divided by 3?
2
Suppose -898 = -2*u - 5*r - 339, 2*u - 5*r - 589 = 0. What is the remainder when 511 is divided by u?
224
Let c be (-37296)/(-270) - 2/15. Suppose c = 2*m + 3*i, -i + 27 + 43 = m. What is the remainder when m is divided by 16?
8
Let z be 6 + -1 - 2400/16. Let j = z + 151. Calculate the remainder when 4/(-14) + 268/7 is divided by j.
2
Suppose 0 = 2*z + 2*z - 2*v - 4, 0 = 4*z - 4*v. Suppose 3*b + z*b = 50. Let o(n) = n**2 + 48*n + 466. Calculate the remainder when o(-36) is divided by b.
4
Suppose 1943 = 48*n - 1657. Calculate the remainder when 913 is divided by n.
13
Let x = 40 + -28. Suppose 48 = 6*w + x. Suppose 50 = k - w. What is the remainder when k is divided by 20?
16
Let p(q) be the second derivative of q**4/12 - q**3/2 - 23*q**2 - 116*q. What is the remainder when 119 is divided by p(-6)?
7
Let n = -130 + 197. Calculate the remainder when (14/10)/(3*-3 + (-15672)/(-1740)) is divided by n.
2
Let i(f) = f**3 - 15*f**2 - 140*f - 52. Calculate the remainder when 1628 is divided by i(-6).
28
Let a = -78315 + 78524. What is the remainder when a is divided by (70/(-8))/((-2)/8)?
34
Let r be (-6)/45 + (-128)/(-60). Suppose r*t - 5*t - 106 = -2*z, -4 = 2*t. Let l = -656 - -669. What is the remainder when z is divided by l?
11
Calculate the remainder when (-99)/2*(-2)/(-12)*14624/(-24) is divided by 17.
12
Let f = -95 + 127. Suppose 0 = -5*t + 48 + 17. What is the remainder when f is divided by t?
6
Let a = -22473 + 24180. Calculate the remainder when a is divided by 16.
11
Suppose -46*b + 57*b - 4389 = 0. Suppose b = 182*q - 175*q. What is the remainder when q is divided by 16?
9
Suppose 4*q = 2*y - 0*q - 326, q = -2*y + 346. Let r = -89 + y. Suppose -r + 310 = 2*z. Calculate the remainder when z is divided by 39.
36
Let g be (-1 - (-2)/4) + (-4)/(-8). Suppose -4*z - 3*s = -131 + 43, -3*z + 5*s + 66 = g. Calculate the remainder when 151 is divided by z/(-11) - -12*2.
19
Calculate the remainder when 138 is divided by 2/(-8)*-24*(-169)/(-26).
21
Suppose -a = 61*h - 63*h - 10, 25 = 2*a - 3*h. Calculate the remainder when 1288 is divided by a.
8
Suppose 19*m = 389 - 161. What is the remainder when 6617 is divided by m?
5
Let o(n) = 7*n - 26. Let b(q) = 11*q - 39. Let a(l) = 5*b(l) - 8*o(l). Let j be a(7). Calculate the remainder when 30 is divided by ((-4)/j)/((-8)/84).
2
Suppose 1430 = -5*g + f, -2*g - 412 = f + 153. Let a = 424 + g. What is the remainder when a is divided by 16?
11
Let b = 154 - 155. What is the remainder when b*(5 - (-712)/(-8)) is divided by 29?
26
Let r(h) = 162*h**2 + 1 - 15*h - 17*h + 28*h. What is the remainder when r(1) is divided by 40?
39
Let h(o) = 8*o**2 - 11*o - 22. Let n be h(-8). Suppose 9*q - 26*q = -n. Calculate the remainder when q is divided by 23.
11
Let a = -784 - -986. Calculate the remainder when (505/a)/(1/22) is divided by 31 + (-1 - -2 - 3).
26
Suppose 0 = -11*v - 6519 - 5669. What is the remainder when 54/(-378) + v/(-14) is divided by 10?
9
What is the remainder when 3188*((-116)/(-16) - 7) is divided by 25?
22
Let f(r) = r**3 - 14*r**2 + 4*r - 1. Suppose -6*l + 17*l = 154. Suppose -2*z + 66 + 0 = 5*c, -3*c = 3*z - 36. Calculate the remainder when f(l) is divided by c.
13
Let g(v) = -3*v**3 + 3*v**2 + 6*v - 17. Let x(w) = 7*w**3 - 5*w**2 - 10*w + 35. Let b(j) = 5*g(j) + 2*x(j).