What is the remainder when b(-9) is divided by 3?
0
Let q(r) = -r**3 + 10*r**2 + r + 14. Let b be q(7). Suppose 2*j = 5*l - b, 2*j - 5*j + 3 = 0. Calculate the remainder when 114 is divided by l.
12
Let b(j) = 5*j**2 - 94*j + 63. What is the remainder when b(20) is divided by 28?
15
Suppose 2*w = -4*h + 22, -5*h = w - 5 - 0. Suppose 4*v + 2*z = 40, -2*v + 7*v + 3*z = 49. Calculate the remainder when w is divided by v.
4
Suppose 61*q + 171785 - 21250 = 314*q. Calculate the remainder when q is divided by 84.
7
Calculate the remainder when (-1113)/106*(-264)/21 is divided by 66.
0
Suppose 495 = -5*r - 3*y, -y = -0*r - 4*r - 396. Suppose 0 = n - 75 + 20. What is the remainder when n is divided by -3*456/r + 6/33?
13
Let u = 43975 - 43914. Suppose -59 + 5 = -4*b + 2*q, 2*q = -4*b + 50. Calculate the remainder when u is divided by b.
9
Let a = 17 + -3. Suppose 47*d - 3982 = 436. What is the remainder when d is divided by a?
10
Suppose -119*k = -115*k. Suppose k - 2 = 2*x, -5*t + 356 = 4*x. What is the remainder when t is divided by 9?
0
Let i = 3121 - 3079. Let s = 1298 + -839. Suppose -5*f + 355 = 3*q, -4*q + 49 = -2*f - s. Calculate the remainder when q is divided by i.
41
Suppose -781 + 2725 = 54*r. Calculate the remainder when r is divided by 10.
6
Suppose -3*h + 1182 = -j, 2*h + 0*j - 792 = 2*j. What is the remainder when h is divided by (-10700)/1605*(-4)/(60/81)?
33
Suppose -2*a = 11 - 5. Let i be (a/(-4))/(3 - (-22)/(-8)). Suppose 2*s - 33 = -4*h + 17, -h + 55 = i*s. What is the remainder when s is divided by 4?
1
Let n(o) = 21*o + 8. Let v(r) = -15*r + 31. Let k be v(2). What is the remainder when 346 is divided by n(k)?
27
Let j = 165 - 59. Let k = -38 - -146. Suppose -7*z = -10*z + k. What is the remainder when j is divided by z?
34
Let q = 9 - 9. Suppose -k + 36 + 32 = q. Suppose -7*d + k = -3*d. Calculate the remainder when 60 is divided by d.
9
Suppose -4*x = 2*n + 16, -x - 3 = -2*n + 3*n. Let w be (-8 + 7)/(n/(-110)). Suppose 52*l = w*l - 243. Calculate the remainder when l is divided by 21.
18
Let j(k) = -13*k + 61. Let w be j(19). Suppose -3 = 2*q - 3*q. Calculate the remainder when (1/(-4 - -2))/(q/w) is divided by 6.
1
Suppose 2*q = 3*y + 392, 0 = -4*y + 2*q - 343 - 179. Let g = y + 187. What is the remainder when g is divided by 12?
9
Let k(w) = 45*w**3 - 2*w**2 + w + 1. Suppose -12 - 2 = -2*v. Let o = 19 - v. What is the remainder when k(1) is divided by o?
9
Let d(w) = -w**3 + 4*w**2 + 258*w - 1257. Calculate the remainder when 1706 is divided by d(5).
2
Let n be (-9 + (-12 - -21))*(0 + 1). Suppose -5*d + 145 = 5*j - 55, -5*j + 191 = 2*d. Suppose -w = -n*w - j. Calculate the remainder when 146 is divided by w.
35
Suppose 2*v - 20522 = 4*p, -12*v + 41026 = -8*v + p. What is the remainder when v is divided by 60?
57
Suppose -2*h = 5*c - 2295, -2*c - 2*h + 1121 - 209 = 0. What is the remainder when c is divided by 33?
32
Suppose 5*u + 100 = 2*c, c = 31*u - 35*u + 102. What is the remainder when 598 is divided by c?
38
Let j(o) = 81*o - 2998. Calculate the remainder when j(44) is divided by 46.
14
Let b = 377 + 721. Suppose 0 = 6*s - 894 - b. Suppose 3*r = -2*i - 0*r + 158, 4*i = 2*r + s. Calculate the remainder when i is divided by 28.
26
Let k(t) = 66*t - 562. Calculate the remainder when 745 is divided by k(11).
89
Suppose -5*d - 24 = 3*a - 113, 4*d - 5*a = 49. Calculate the remainder when 59 is divided by d.
11
Let m(p) = 12*p - 4*p**2 + 3*p**2 + 2*p**2 - 2*p**2 - 5. Let j be m(12). Calculate the remainder when (-34)/(-3*j*(-8)/60) is divided by 4.
1
Let n be (252/112)/(1/76). What is the remainder when 606 is divided by (-57)/n - (2 - 128/6)?
17
What is the remainder when 1001 + 7 + (-8 + 0)*-1 is divided by 22?
4
Let q(k) be the first derivative of k**4/2 - 3*k + 9. What is the remainder when 99/2*(-7 + 9) is divided by q(3)?
48
Suppose -34*v = -10*v + 10152. Let p = -239 - v. Calculate the remainder when p is divided by 27.
22
Suppose 12*g - 6217 - 24743 = -3*g. What is the remainder when g is divided by 295?
294
Suppose -2*z = -c + 14, -75*c = -70*c + 2*z - 82. Suppose 3*w = 5*a + 18, -4*w + 2*a = 3*a - 24. Calculate the remainder when c is divided by w.
4
Let b(k) = k**3 + 16*k**2 - 26*k + 48. What is the remainder when b(-16) is divided by 207?
50
Let z(r) = -3*r + r**3 - 17 + 3*r**2 - 7*r**2 + 2*r**2. Let x be z(5). Suppose -47*t + 12 = -x*t. Calculate the remainder when 9 is divided by t.
0
Let p = 12119 - 12087. Calculate the remainder when 11992 is divided by p.
24
Suppose -10*h + 3*w - 159 = -13*h, 5 = w. Calculate the remainder when 1287 is divided by h.
39
Suppose 0 = 3*m - m - 3*m. What is the remainder when (m + 1 - 3) + 60 is divided by 20?
18
Suppose 527 = 5*p - 2*l - l, 2*l + 523 = 5*p. What is the remainder when 400 is divided by p?
91
Let f(j) = -28*j - 190. Suppose -3*s + 23 + 37 = w, 3*w - 202 = 2*s. What is the remainder when w is divided by f(-7)?
0
Let c(a) = -126*a + 1062. Suppose -3*m = g - 634, 131 = 3*m - 2*g - 509. Calculate the remainder when m is divided by c(8).
50
Let f(i) = 35*i**3 + 3*i**2 - 2*i. Let g(t) = -t**3 - t**2 + t. Let s(l) = f(l) + 3*g(l). Calculate the remainder when 65 is divided by s(1).
32
Let h = -94 + 164. Let z be 14/10 - (-72)/(-180). What is the remainder when h is divided by (z*(2 + 2))/(16/48)?
10
Suppose 4*q - b = 26, -3*q - 5*b + 31 = -0*q. Let a(l) = 162*l**2 + 12 - 164*l**2 - 38*l**3 - 10. What is the remainder when a(-1) is divided by q?
3
Let l(n) = -4*n**2 + 50*n - 16. Let q be l(12). Calculate the remainder when 229 is divided by (-1305)/(-63) - q/(-28).
19
Let l = -57 - -49. Let i(c) = 3*c**2 + 18*c + 2. Calculate the remainder when i(l) is divided by 26.
24
Let i = -3837 - -5724. What is the remainder when i is divided by 27?
24
Suppose 0 = 4*o + 16, -215 = -3*y - o + 132. What is the remainder when 70 is divided by 2/(-9) - (-4355)/y?
33
Let g = 14959 + -12890. Calculate the remainder when g is divided by 684.
17
Suppose -2*c - 15957 = -5*v, -5*v - 5*c + 12305 = -3680. Let p = v - 2271. Calculate the remainder when p is divided by 77.
75
Suppose 0*h = -5*h. Suppose 6*q + 233 - 773 = h. Calculate the remainder when 49 is divided by (-2)/(-9) + 755/q*2.
15
Let s(z) = -3*z + 2. Let g be s(7). Let j = g + 19. Suppose -m - h + 28 = 0, 5*h = 5*m - j*h - 90. What is the remainder when m is divided by 6?
5
Let b = 2118 + 3098. Calculate the remainder when b is divided by 47.
46
Let c(z) = -6*z**3 - 11*z**2 - 13*z - 53. Let s be c(-5). Let v = s - 457. Let p(y) = y**2 + 4*y + 7. Calculate the remainder when v is divided by p(-6).
11
Let r(y) be the third derivative of 7*y**5/60 - y**4/24 + 5*y**3/3 - y**2 - 5. Let n = 93 + -57. Calculate the remainder when r(3) is divided by n.
34
Let m(d) = 7*d - 74. Let k be m(10). Calculate the remainder when 34 is divided by k - ((-1225)/42 + (-2)/(-12)).
9
Let g(k) = k**3 + 7*k**2 + 5*k - 1. Let m be g(-6). Let a = -54 + 87. Suppose a = w + m. What is the remainder when 110 is divided by w?
26
Let k = -267 + 272. What is the remainder when 79 is divided by k/((14/12)/7)?
19
Let d = 784 - 785. Let m = 3 - 3. What is the remainder when (-1260)/(-15) + (m - 3*d) is divided by 11?
10
Let p(q) = -q**2 + 17*q + 78. Let f be p(11). Let w = f - -64. Calculate the remainder when w is divided by 21.
19
Let r(o) = -5*o - 16. Suppose -a - 40 = 7*a. What is the remainder when 87 is divided by r(a)?
6
Suppose -7*n = 3*t - 292, -n - 180 = -5*n - 5*t. What is the remainder when 12599 is divided by n?
39
Suppose 3 = -3*w - 4*x, x = 2*x. Let g(j) be the first derivative of -3*j**4/4 + j**3/3 - j**2/2 + 11. What is the remainder when 15 is divided by g(w)?
0
Let x(g) = -g**2 + 12*g + 10. Suppose -56*n + 37*n = -912. What is the remainder when n is divided by x(12)?
8
Let r = -1421 - -213. Let f = r + 1230. Let s(i) = i**2 - 7*i + 3. Calculate the remainder when f is divided by s(7).
1
Suppose -9*p - 2*n + 382 = -5*p, 2*n = 2. Suppose 2*k - p = g + 127, k - 125 = -3*g. Calculate the remainder when k is divided by 23.
21
Suppose 5*l + 228 - 848 = 0. Calculate the remainder when l is divided by ((-3857)/28)/29*4*4/(-2).
10
Let c(b) be the first derivative of -b**2/2 + 22*b + 34. What is the remainder when (1/(-3))/((-1)/15) is divided by c(18)?
1
