3. What is the remainder when b is divided by 96?
31
Suppose -2*q = 3*q - 5, 4*q = 2*x. Suppose x*v + 126 = 16*v. What is the remainder when 52 is divided by v?
7
Let u(n) = -5*n + 2. Let y(g) = 3*g**3 - 32*g**2 + 109*g - 33. What is the remainder when y(3) is divided by u(-6)?
23
Let j = -97 + 188. Suppose -18*q = -j - 575. Calculate the remainder when q is divided by 8.
5
Suppose -34 + 7 = -5*r - 2*k, 5*r + 3*k - 28 = 0. Suppose -4*t - y + 129 = 4*y, -r*t + y + 183 = 0. Calculate the remainder when t is divided by 7.
1
Let b(t) = 7*t**2 - 5*t - 2. Let z be 33*(16/12 - 1). Suppose 11 = -z*u - 0. Calculate the remainder when 28 is divided by b(u).
8
Suppose -3*k = -2*s + 81, 39*s - 5*k = 35*s + 163. Suppose f - 13 = 11. Suppose 4*l - f - 12 = 0. What is the remainder when s is divided by l?
6
Let h(d) = 6*d - 80. Let t be h(14). Suppose -i = 5*j - 2090, 7*i - t*i = -3*j + 1254. Calculate the remainder when j is divided by 14.
12
Suppose 5*r = y + 161, r - 2*y = -y + 33. Let h = -37 - -57. Suppose 0 = 6*i - 62 + h. What is the remainder when r is divided by i?
4
Suppose -46*v + 47*v = 0. Calculate the remainder when 18 is divided by v + ((-44)/(-16) - 4/(-16)).
0
What is the remainder when 1421 is divided by (-93 - -88)*(-139 + -2)?
11
Suppose 2*l + 430 = 1882. Suppose l = 13*r + 9*r. What is the remainder when 259 is divided by r?
28
Suppose p - 5*y - 26 = 0, 22*p - 27*p = -4*y - 172. Calculate the remainder when 117 is divided by p.
9
Let n = 276 - 174. Let k(b) = 5*b**2 - 3*b - 40 - 8*b**2 + 4*b**2 + 11*b. What is the remainder when n is divided by k(-12)?
6
Let q = 4212 + -4178. What is the remainder when 95 is divided by q?
27
Calculate the remainder when 681 is divided by (-66)/5*(-1465)/586.
21
Let g(c) = 37*c**2 - 1272*c - 65. What is the remainder when g(36) is divided by 418?
5
Let r = -925 + 1553. What is the remainder when r is divided by 35?
33
Let s = -3083 - -6232. Suppose 3*c - 4758 = -4*p, -c - 5*p = -3*c + s. What is the remainder when 18 is divided by 1/(-8) + c/112?
4
Let x = -2748 + 2818. What is the remainder when 92 is divided by x?
22
Suppose 27*h - 2789 - 90491 = 5*h. Calculate the remainder when h is divided by 202.
200
Let b = -3872 + 3893. What is the remainder when 85 is divided by b?
1
Let h = 569 + -196. Let z = -315 + h. What is the remainder when z is divided by 20/3*(-99)/(-22)?
28
What is the remainder when (-93)/124 - (1189/2*-6)/4 is divided by 78?
33
Suppose 4*j = -16, 17*j - 26 = -m + 20*j. Calculate the remainder when 1296 is divided by m.
8
Let j(m) be the third derivative of 5*m**4/24 + 20*m**3 + 39*m**2. What is the remainder when j(-18) is divided by 4?
2
Let t(p) = p**2 + 2*p - 71. Let j be t(0). Let z = j - -69. Calculate the remainder when 75 is divided by z/12 + 471/18.
23
Suppose 0 = 5*i + 2*b - 821, 3*i + 46*b = 47*b + 475. Calculate the remainder when 7888 is divided by i.
160
Suppose 2*z + 8*z = 150. Suppose -4*d - 505 = -2*n + 77, -3*n - 4*d = -903. Calculate the remainder when n is divided by z.
12
Let s be (-7)/(-168)*9 - (-4287)/24. Suppose 77 = u + 3*n + 29, -4*u + s = -n. Calculate the remainder when 80 is divided by u.
35
Let d(h) = -2*h**2 - 42*h - 9. Let q be d(-20). Let n = 55 - q. What is the remainder when 86 is divided by n?
14
Let o = -207 - -426. Suppose 0 = 3*l + j - 165, 5*j + o = 5*l - 36. What is the remainder when l is divided by -5 + 14/2 + 13?
9
Let r(f) = -240*f + 6. Let v be r(-2). Suppose -5*x - 4*l - v = -10*x, 0 = -3*x + 3*l + 294. What is the remainder when x is divided by 20?
14
Let d = -4362 - -4374. What is the remainder when 380 is divided by d?
8
Suppose -4*x + 158 = 2*c, x + 103 = 27*c - 26*c. Let n = -15 + 48. What is the remainder when c is divided by n?
29
Suppose -x - y = -5*x + 73, 0 = 2*x + 3*y - 47. Let t(q) = 3*q**2 - 45*q + 16. What is the remainder when t(x) is divided by 49?
48
Suppose -39*b = -34*b + 5*t - 905, 5*t = b - 199. What is the remainder when 1107 is divided by b?
3
Suppose -40*f = 4*g - 43*f - 82, 19 = g - f. Calculate the remainder when 909 is divided by g.
9
Suppose -74*i - 47*i + 13530 = 44*i. Calculate the remainder when 266 is divided by i.
20
Let l(m) = 4*m + 2. Let k = -170673 + 171286. What is the remainder when k is divided by l(5)?
19
Calculate the remainder when 2159 is divided by (265/106)/(15/432).
71
Let b = 72 + 68. Suppose 4*i - 4*l = -24 - b, 5*l - 97 = 2*i. Calculate the remainder when 258/8 - (-45)/i is divided by 16.
15
Let c(o) = o**3 - o**2 - o + 123. Suppose 11489*z - 11487*z = 4*k + 34, 2*k - 4 = 0. What is the remainder when c(0) is divided by z?
18
What is the remainder when (0 + -358)/(26/(-20) + (-1736)/(-2170)) is divided by 111?
50
Let g(k) = -42*k + 1547. Let x(t) = 2*t - 2. What is the remainder when g(35) is divided by x(4)?
5
Let t(d) = -13*d**2 + 366*d - 27. What is the remainder when 31 is divided by t(28)?
2
Let k be (0 - 2)*4/8. Let l(m) = 3*m**2 + 6*m**2 + 1 + 4*m + 1. Calculate the remainder when 9 is divided by l(k).
2
Suppose -n = -28*n + 5103. What is the remainder when 349 is divided by n?
160
Let z(m) = -108*m + 2. Let n be z(-2). Let g(d) = n + 2*d - 215 - 10*d. Calculate the remainder when 65 is divided by g(-1).
10
Let j(x) = -2*x**2 - 48*x + 13. What is the remainder when 145 is divided by j(-24)?
2
Suppose -13652 = -14*d + 22524 + 4172. Calculate the remainder when d is divided by 31.
30
Suppose -3*p - 2*i - 7 = -25, p - 3*i = 17. Suppose -102 = -10*s + p*s + o, 5*s + 2*o - 246 = 0. What is the remainder when 147 is divided by s?
47
Let a(w) = w**3 - 38*w**2 - 110*w + 19. Let x be a(41). Let s = x - 525. Calculate the remainder when 131 is divided by s.
23
Let k = 24991 + -24976. Calculate the remainder when 3834 is divided by k.
9
Let q = 12994 - 12316. Calculate the remainder when q is divided by 167.
10
Suppose -1279 - 193 = -8*b. Let i = b - 162. What is the remainder when 108 is divided by i?
20
Suppose 3*t + 181 = g, -4*g - 431*t + 428*t = -769. What is the remainder when g is divided by 69?
52
Let j(k) = -k**2 - 20*k + 43. Calculate the remainder when 1/(-2)*-1 + 3913/26 is divided by j(-21).
19
Let j = -38 - -70. Suppose 0 = 27*y - j - 22. What is the remainder when 16 is divided by y?
0
Suppose 4*p - 42 = p. Suppose -18 - p = 2*f. What is the remainder when 46 is divided by (-4)/((-60)/f + -4)?
14
Let w be ((-10)/(-30))/(2/(-636)). Let y be (6 + -7)*(158 - 1). Let h = w - y. What is the remainder when h is divided by 13?
12
Let o(p) be the third derivative of p**6/120 + p**5/4 - 19*p**4/24 - 5*p**3/2 + 28*p**2 - p. What is the remainder when o(-16) is divided by 8?
1
Suppose 2*a = 8*a - 12. Let l be (0 + -3 + a)/((-9)/18). Suppose -5*v + 120 = 2*k, -l*v + 16 = 4*k - 16. Calculate the remainder when 103 is divided by v.
25
Suppose 190*c - 53989 = 140761. Calculate the remainder when 3089 is divided by c.
14
Suppose -3*w + j - 6 = 0, w + 3 - 14 = -4*j. Suppose -3*x - x - 20 = 0, 0 = 5*n + 4*x - 175. What is the remainder when n is divided by 0 - 3 - 23/w?
19
Suppose 445 = 48*f - 131. What is the remainder when 47 is divided by f?
11
Suppose 2025 - 8979 = -3*h - 58*h. Calculate the remainder when 390 is divided by h.
48
Suppose 0*q + 4 = -5*q + 4*t, 3*q - 3*t + 3 = 0. Suppose -2*b + 5*d = -q*b - 61, d = -5*b + 85. Let j = b + 1. Calculate the remainder when 73 is divided by j.
16
Let j(x) = 13*x - 25. Let i be j(2). Calculate the remainder when 1/(9/(-18)) + i*67 is divided by (-11)/(((-6)/4)/3).
21
Let t(l) = 5 + 5 + 10*l + 15 + l**2 - 4. Let i be t(-11). Suppose -3*u + 22 = -i. Calculate the remainder when u is divided by 4.
2
Let l = -7351 + 7585. What is the remainder when l is divided by 61?
51
What is the remainder when 3/5 - -28*(-11358)/(-360) is divided by 31?
16
Let b(w) = -92*w - 2880. Calculate the remainder when 1630 is divided by b(-34).
142
Let d = -5585 + 5602. Calculate the remainder when 150 is divided by d.
14
Let l be (-8)/(-6)*(-495)/22. Let w = l + 68. Let z = 376 + -226. What is the remainder when z is divided by w?
36
Let v(j) = 4*j**2 - 216*j - 215. Calculate the remainder when 755 is divided by v(56).
56
Let d = -424 - -410. Calculate the remainder when -3 - (847/d - 1/(-2)) is divided by 13.
5
Let u(n) = -5*n + 89. Let q(c) = 3*c - 44. Suppose 0 + 8 =