e remainder when 179/4 - 2/(-8) is divided by b?
3
Suppose -492 = -0*q - 4*q + 2*a, -2*q + 3*a = -250. What is the remainder when 1229 is divided by q?
9
Suppose -8 = -o - 0. Let g(t) = 3*t**2 + t. Let i be g(3). Suppose 11*x = 10*x + i. Calculate the remainder when x is divided by o.
6
Let s be 1/((2/(-2))/(-8)). Suppose -28 = -s*q + 10*q. Let j = 27 - q. What is the remainder when 81 is divided by j?
40
Let m = 34 - 5. Suppose -3*i - 4*a + 30 = -i, 3*i = -a + 35. Let t(j) = -8*j + 96. Calculate the remainder when m is divided by t(i).
5
Let z = 9306 + -9101. Calculate the remainder when 1842 is divided by z.
202
Suppose -v - 2*i = 2*v - 26, 3*i - 21 = -3*v. Let t = -13803 - -13847. What is the remainder when t is divided by v?
8
Suppose 3*s = -2*s + b + 402, 0 = 4*b + 8. Let r be ((-68)/8)/((-28)/(-168)). Let t = r + s. What is the remainder when t is divided by 16?
13
Suppose -3933*c + 1008 = -3929*c. Calculate the remainder when c is divided by 133.
119
Let w(d) = 618*d + 2497. Calculate the remainder when 1999 is divided by w(-4).
24
Suppose 0 = 10*d - 116 - 424. Suppose -d*h + 49*h - 15 = 0. What is the remainder when 137 + (-1)/(h/(-15)) is divided by 27?
24
Let t(s) = s**2 + 72*s - 1795. What is the remainder when t(24) is divided by 161?
26
Let z(w) = w**2 - 378*w - 6952. Calculate the remainder when z(-18) is divided by 43.
4
Let f(x) be the first derivative of -x**4/4 + 5*x**3/3 - x**2 + 5*x + 165. Let o = 8 + -4. What is the remainder when f(4) is divided by o?
1
Let a = -424 - -490. Suppose k - a = 65. Let v = 43 - 10. Calculate the remainder when k is divided by v.
32
Let b(z) = -4*z + 99. Suppose -5*w - 5*r = -100, 0*w - 45 = -2*w + 3*r. Calculate the remainder when b(3) is divided by w.
3
Suppose b - 45*g + 50*g = 188, 4*b + 4*g = 656. What is the remainder when 3153 is divided by b?
151
Suppose -28*y - 25*y + y = -77948. What is the remainder when y is divided by 310?
259
Suppose 6*z - 68*z + 1119 = 375. Calculate the remainder when 21 is divided by z.
9
Let p be (-108)/(-16) + 1/4. Suppose -15*i + p*i - 80 = 0. Calculate the remainder when 161 is divided by 45*(3/i)/(4/(-8)).
26
Suppose 0 = 5*z + 21*w - 24*w - 2790, 4*z = 4*w + 2232. Calculate the remainder when z is divided by 114.
102
Let v be (0 + -4)*6/8 - 813. Calculate the remainder when (-4 + v)/(-4) + -2 is divided by 23.
19
What is the remainder when (1939/3)/(133/57) is divided by 31?
29
Suppose -4*n + 2*y = -320 - 510, n - 3*y - 205 = 0. Suppose -57 = 4*l + 15. Let z = l - -48. What is the remainder when n is divided by z?
28
Suppose -3*l + 2*v = -8, 3*v - 20 = -v. Calculate the remainder when (-2*l/(-4))/((-6)/(-28)) is divided by 7.
0
Suppose 4*r = -3*s + 312, -5*s + 231 = 4*r - 73. Calculate the remainder when 380 is divided by r.
56
Let y = 537 + -496. Suppose 7*t - 225 = -3*h + 4*t, t - 152 = -2*h. What is the remainder when h is divided by y?
36
Let q = 29151 + -29027. Calculate the remainder when 1111 is divided by q.
119
Suppose -18 = 19*f - 436. What is the remainder when 25 is divided by f?
3
What is the remainder when 1230 is divided by (-12 - 414/(-36))/((-1)/88)?
42
Let x be 6/(-4)*60/(-9). Suppose -2*b = x, -5*m + 4*b + 98 = -2*m. Suppose -34*g + 36*g - 98 = 0. Calculate the remainder when g is divided by m.
23
Suppose y + 2*x + 16 - 21 = 0, -y + 3*x - 15 = 0. Calculate the remainder when 7 is divided by (-5)/((y - 7)*(-4)/(-16)).
1
Suppose 744*n + s + 558 = 754*n, n - 117 = -5*s. What is the remainder when 4/(-6) - (-652)/6 is divided by n?
51
Let l = -229 + 230. Calculate the remainder when -1*(-24)/4 + (12 - l) is divided by 4.
1
Let h = 126 + 27. What is the remainder when 444 is divided by h?
138
Let a(g) = -3*g**2 - 104*g - 486. What is the remainder when a(-15) is divided by 167?
65
Suppose 250*h + 1258 = 287*h. What is the remainder when 216 is divided by h?
12
Let a = 18 + -23. Let n(h) = h**3 + 7*h**2 + 10*h + 7. Let g be n(a). Let t = 22 - g. What is the remainder when t is divided by 8?
7
Let z(l) = 1. Let m(o) = -41*o + 4. Let h(t) = m(t) - 5*z(t). Let x be 12/12 - (0 - -2). What is the remainder when 77 is divided by h(x)?
37
Let f = -20045 + 20084. Let p = 66 - 46. Calculate the remainder when f is divided by p.
19
Let s(y) = -y**3 + 5*y**2 - y + 2. Suppose 2*k = q - 325 + 175, -3*q + 5*k + 442 = 0. Calculate the remainder when q is divided by s(3).
15
Let x(f) = -f**2 - 94*f - 1347. Let h be 6/(-5) + (-11)/(-55). Calculate the remainder when ((-195)/(-25))/(h/(-5)) is divided by x(-76).
18
Suppose -2*s - 171 = -3*f + 56, -3*f = 5*s - 220. Calculate the remainder when f is divided by (-575)/920 - 634/(-16).
36
Let n(g) = -2*g**2 + 24*g - 35. Let c be n(20). Let l = 365 + c. Let i(v) = 9*v**3 - 3*v**2 + 2*v + 1. Calculate the remainder when i(2) is divided by l.
5
Suppose 67*l = -118*l + 156510. Calculate the remainder when l is divided by 841.
5
Let q(z) = 61*z - 231. Suppose 4*x + 5*n - 16 = 0, 5*n = 8*n. Calculate the remainder when 109 is divided by q(x).
5
Suppose 2*w - 16 = 6*w. Let g(h) = 2*h**2. Let j be g(w). Suppose 2*u = 20 + j. What is the remainder when 50 is divided by u?
24
Let g(j) = 2*j + 12. Let r be g(2). Let h be -1 + 72/r*(-2)/(-3). Suppose 2*d = -h*l + 24, 3*d + l - 49 + 5 = 0. What is the remainder when 42 is divided by d?
10
Let u(q) = q**3 - 76*q**2 + 719*q - 255. What is the remainder when 83 is divided by u(65)?
3
Let x(k) = k**2 + 6*k + 12. Let s be ((-37)/(-7) - -2) + 6/(-21). Suppose 11 - s = 2*v. Calculate the remainder when x(-7) is divided by v.
1
Let r(z) = z + 6. Let i be r(9). Suppose 3*d - i = -6. Suppose d*q - 250 = q. Calculate the remainder when q is divided by 42.
41
Suppose 0 = -g + h + 3*h + 632, 0 = -2*g - 4*h + 1204. Suppose -g = -11*p - 23*p. What is the remainder when 321 is divided by p?
15
Suppose -w + 19 = -5*x, 7 = w + 89*x - 97*x. What is the remainder when 248 is divided by w?
14
Let s(v) be the second derivative of v**4 - 2*v**3/3 + 2*v**2 - 17*v. Suppose 4*b - b = 9. Calculate the remainder when s(b) is divided by 26.
22
Suppose -1227*h - 1161 = -1254*h. Let r = 493 + -238. Calculate the remainder when r is divided by h.
40
Let h be 44/11 - (0 + 47)*-1. Suppose -165 = -h*r + 56*r. What is the remainder when 237 is divided by (-6)/r + (-372)/(-11)?
33
Suppose -50*p + 6080 = 140*p. What is the remainder when 413 is divided by p?
29
Let y be 126/15 + ((-3)/(-5) - 1). Suppose -5*z + 4*z + 3*d + y = 0, -44 = -3*z - d. Calculate the remainder when 23 is divided by z.
9
Let a(p) = 31*p**2 - 18*p - 32. What is the remainder when a(6) is divided by 163?
161
Suppose 416*x - 415*x + i + 52 = 0, -5*x + 5*i = 260. Suppose l + 57 = 4. Let j = x - l. Calculate the remainder when 3 is divided by j.
0
Let h(i) be the second derivative of i**5/20 + 5*i**4/12 - 10*i**3/3 - 95*i**2/2 - 46*i. Calculate the remainder when 156 is divided by h(-5).
1
Suppose 0*w - 135 = -5*w. Let l be (-6)/10 + (-1929)/(-15). Let j = -118 + l. What is the remainder when w is divided by j?
7
Suppose 2*f - 103 = 159. Let o = 140 - f. What is the remainder when 77 is divided by o?
5
Suppose 5*l = 3*o - 7607, -51*l - 7537 = -3*o - 56*l. What is the remainder when o is divided by 180?
4
Let i(u) = 38*u + 1471. Calculate the remainder when 447 is divided by i(-34).
89
Suppose 114 + 255 = 9*b. What is the remainder when b is divided by (-2)/(4*1/(-22))?
8
Let m = -5829 - -5899. What is the remainder when m is divided by 28?
14
Let d(g) = 1 + 2 - g**2 - 6*g - 5 - 5. Let n be d(-4). What is the remainder when 29 is divided by n/(78/38 + -2) - 3?
13
Let y be 9963/82 - 3/2. Suppose 0 = -11*l - 4*l + y. What is the remainder when 42 is divided by l?
2
Suppose 4*w - m = m + 1612, -2*m - 397 = -w. Calculate the remainder when w is divided by (-6)/(-9 - -1*297/36).
5
Let j = -142 - -147. Suppose -215 = -j*s + 5*i, 4*i + i - 58 = -2*s. Calculate the remainder when s is divided by 5.
4
Let i(u) = u**2 + 24*u + 46. Let v be (4 + 0 - -2)*1. Suppose 7 = v*l - 65. What is the remainder when i(-24) is divided by l?
10
What is the remainder when (-6)/9*((-2 - -5) + (-38088)/16) is divided by 122?
121
Suppose -3*f + 5*i + 574 = 0, -3*f = 5*i - 750 + 136. Let m = 13 - 8. Suppose 327 = m*w + 77. Calculate the remainder when f is divided by w.
4