ate the remainder when 12/((-8)/6 - -2) is divided by u(0).
2
Let w(b) be the second derivative of -3*b**5/2 - b**4/6 - b**3/3 - b**2 - 2*b - 44. What is the remainder when w(-1) is divided by 8?
4
Suppose -593 = -p - 3*i, 5*p - 2*i - 2466 - 601 = 0. What is the remainder when p is divided by 123?
119
Suppose -380 = -5*f - 4*q, -2*f + 22 = -q - 143. Calculate the remainder when 879 is divided by f.
79
Let y(c) = -c**2 + c + 2. Let f be y(2). What is the remainder when 232 is divided by f + 0 + (0 - -47)?
44
Let h be (6 + -2 + (-2 - -3))*1. Suppose 5*a - 2*n - 479 + 157 = 0, 0 = -h*n - 5. What is the remainder when a is divided by 10?
4
Let l(v) = -2*v**3 - 140*v**2 - 145*v + 103. What is the remainder when l(-69) is divided by 19?
16
Suppose 0 = 4*u - u + 900. Let k be ((-5)/((-25)/45))/((-21)/14). What is the remainder when 35 is divided by 2/k*u/10?
5
Suppose b - 2*t - 71 = 0, -2*t - 181 = -3*b - 4*t. Let f(a) = -23*a**3 + a**2 + 2*a + 1. Calculate the remainder when b is divided by f(-1).
17
Suppose -3*g - 3*k = -330, 0 = -39*g + 44*g + k - 546. What is the remainder when 324 is divided by g?
106
Let b(t) = 2*t**2 + 5*t + 15. Let f be b(-4). Suppose 38*g = 39*g - f. Calculate the remainder when g is divided by (-2 + 4)/(8/44).
5
Let m(l) = 2*l + 4. Let z be m(-2). Suppose -c + 23 - 21 = z. Suppose j - 45 = -c. What is the remainder when j is divided by 12?
7
Let b(x) = -107*x - 625. Calculate the remainder when 34 is divided by b(-6).
0
Suppose 3*c - 91 = 10*c. Let b = c - -28. Suppose -4*u = -3*o + 190, 270 = 5*o + 10*u - 5*u. What is the remainder when o is divided by b?
13
Suppose -8*h + 661 = -3*k - 10*h, -202 = k - 3*h. Let z = 261 + k. Calculate the remainder when 109 is divided by z.
21
Suppose -3*f + 4 = -5. Suppose -z - 6 = -4*m, 2*m + 61 = 4*z + f*m. Suppose -r + 24 = z. Calculate the remainder when 38 is divided by r.
8
Suppose -42 + 78 = -6*y. Calculate the remainder when 153 is divided by (5 + -23)*(3 - (-22)/y).
9
Let o(z) = z**2 - 4*z - 6. Let y = -70722 - -71019. What is the remainder when y is divided by o(6)?
3
Let p(t) = t**3 + 22*t**2 - 26*t - 33. What is the remainder when p(-22) is divided by 15?
14
Calculate the remainder when (-1359)/(-10) + 118/1180 is divided by 51.
34
Let u(a) = -2*a**3 + 4*a**2 + 45*a + 81. Calculate the remainder when u(-8) is divided by 90.
11
Let w = -102 + 124. Suppose 0 = 4*a - 2*f - 118, -a = 2*f - f - w. Let z = -15 + a. What is the remainder when 18 is divided by z?
6
Let r(b) = 6*b**2 + 7*b + 5. Let f be r(-5). Let p = f - 116. Suppose d + p*d + 26 = q, 3*q = -d + 94. Calculate the remainder when 151 is divided by q.
27
Let o(c) = c**3 + 144*c**2 + c + 7. Let b = -54 + 76. Suppose -w + b = -9. What is the remainder when w is divided by o(0)?
3
Let q(x) = -x**3 - 5*x**2 + 4*x - 8. Let k be q(-6). Let n(s) = -2*s - 6*s - 1 - 2*s + 0*s + 3*s**2. What is the remainder when 16 is divided by n(k)?
2
Let p be 54/(-15)*20/(-8). Let g be 0 + 2 + p/1. Suppose i - 3*r = 0, 3*i - g - 19 = -r. Calculate the remainder when 33 is divided by i.
6
Let c(k) = -k**3 + 7*k**2 + 23*k - 43. Suppose -2*v - 3*b = -9, -4*v = b - 12 - 21. Calculate the remainder when c(8) is divided by 6/(-4)*(-96)/v.
13
Let l = -501 + 506. Suppose -24 = -2*g - 2*s, l*g + 4*s - 26 = 39. What is the remainder when 44 is divided by g?
10
Suppose 2*x + 5*d = 5076, 39*x - 37*x - 5058 = 4*d. What is the remainder when x is divided by 47?
42
Let y(p) = p**2 + p - 1. Suppose -18 + 21 = -3*c. Let o(j) = 3*j**2 - 3*j - 7. Let w(m) = c*o(m) + 2*y(m). What is the remainder when 22 is divided by w(5)?
2
Let p be (-3)/(-5) + (-1629)/15. Calculate the remainder when (-15)/(-6)*(-3)/6*p is divided by 35.
30
Let o(z) = 552*z - 471. What is the remainder when o(4) is divided by 29?
26
Let w(b) = 2*b**2 + b - 10. Let l be w(-9). Let t be 70 - -22 - (-1 + -4). Let p = l - t. What is the remainder when p is divided by 16?
14
Suppose -m + 9 = -5*p, -2*m + 3*p + 28 = 3. Let v = 270 + -231. Suppose -v*y + 2214 = -21*y. What is the remainder when y is divided by m?
11
Let t(z) = 459*z + 14728. What is the remainder when 3158 is divided by t(-32)?
38
Let j(z) = -z**2 + 12*z - 8. Let i be j(9). Suppose -21*n = -i*n + k - 139, -3*k = n - 77. Calculate the remainder when n is divided by 15.
8
Suppose -4*x = h - 15, -x - 3*h = 3 - 4. What is the remainder when 104 is divided by (-29)/(-6)*(4/x + 5)?
17
Calculate the remainder when (-14)/6 - -2 - ((-130000)/48)/25 is divided by 50.
8
Let r(h) = 9*h**2 + 4*h + 20. Let k be r(6). Let z = k + -262. Suppose 2*q - 12 = -5*m + 22, -4*m = -2*q + 70. Calculate the remainder when z is divided by q.
25
Let v(f) be the first derivative of 2*f**3/3 - 3*f**2 + 4*f - 51. What is the remainder when 66 is divided by v(6)?
26
Suppose 0 = o + 4*w + 187, -5*o + 2*w = -0*w + 869. Let y = o - -288. What is the remainder when y is divided by 48?
17
Let v = 13 - -20. Let n = 6 - 3. Suppose a = n*a - 18. What is the remainder when v is divided by a?
6
Let v = -280 + 320. Suppose -39*u = -v*u + 5*x + 9, 4*u - 5*x = 111. What is the remainder when 64 is divided by u?
30
Let l(a) = -a**2 + 40*a + 10. Suppose -y = 5*n - 28, 5*n + 2*y - 40 = -3*y. Calculate the remainder when l(36) is divided by -4*(130/(-4))/n.
24
Let f = -8732 + 9211. Calculate the remainder when f is divided by 117.
11
Suppose -2*v - 4*h + 54 = 0, 0 = -3*h + 4 - 1. What is the remainder when (((-27)/270)/((-1)/(-4)))/(8/(-2380)) is divided by v?
19
Suppose -20 = 5*d - 3*d. Let p(c) = -2*c**2 - 23*c + 13. Let a = 75 - -10. Calculate the remainder when a is divided by p(d).
42
Suppose 2*d = -466 + 472. Suppose -a - 2*c = -20 - 22, d*c + 3 = 0. What is the remainder when a is divided by 26?
18
Let r = -16 - -20. Suppose 240 = -4*c + r*z, 0 = 4*c + 2*z + 143 + 103. Let y = c - -68. Calculate the remainder when 26 is divided by y.
5
Let k(a) = a**2 - 6*a + 34. Let v(c) = 3*c**2 - 12*c + 68. Let o(m) = -9*k(m) + 4*v(m). What is the remainder when o(6) is divided by 24?
14
Suppose 1459*n - 1471*n + 96 = 0. Let w be 75/12 + 2/(-8). Suppose -w*o - n = -7*o. Calculate the remainder when 28 is divided by o.
4
Suppose 2*p = 326 - 114. Calculate the remainder when p is divided by 79.
27
Let j = -38211 + 38292. Let k(a) = 20*a**3 + a**2 - a + 1. What is the remainder when j is divided by k(1)?
18
Let g(m) = -5*m - 10. Let i be g(-2). Suppose i = -45*r + 44*r. Suppose 0*l - 9*l + 108 = r. Calculate the remainder when 15 is divided by l.
3
Suppose -61 + 586 = -15*g. Calculate the remainder when 25 is divided by g/7 - (46/(-2) + 2).
9
Suppose 5*x = -5*z + 165, 4*z - 16*x = -19*x + 131. What is the remainder when z is divided by -3 - 1/(1/(-14))?
10
Let w be (-362)/8 - (-4)/16. Let h = 46 + w. What is the remainder when (0 + 4 + 42)*h is divided by 16?
14
Suppose 2*i - g = 2*g + 55, 0 = -i + g + 26. What is the remainder when 75 + (-18)/3 + -3 is divided by i?
20
Let d = 4 + 1. Suppose -2*b - 4*r = 18, 3*r + 2*r = d*b - 30. What is the remainder when 4 + (-4 - -5)/b is divided by 4?
1
Suppose 77 = 3*c + i, -2*c - 31*i + 46 = -33*i. What is the remainder when 3670 is divided by c?
20
Let q(f) = -4*f**2 + 49*f + 20. Suppose 4*a + 44 = 5*b, 11*a - 9*a + 4 = b. Calculate the remainder when 148 is divided by q(b).
20
Suppose -105*w = -100*w - 4310. What is the remainder when w is divided by 28?
22
Suppose -6*j + 58 = l - j, 3*j + 12 = 0. Let h = 133 - l. Suppose 0 = 9*m - 121 - 5. Calculate the remainder when h is divided by m.
13
Let z(o) = 40*o**2 + 198*o + 193. Calculate the remainder when z(-14) is divided by 16.
13
Suppose -25 = 150*f - 155*f. Let m = 104 - 53. Suppose 0 = 3*o + 2*v + 3*v - 1, f*o - 4*v = m. What is the remainder when 31 is divided by o?
3
Let j = 14 - 4. Let p be 1 - (-295 - (-5 - -9)). Let c = 345 - p. What is the remainder when c is divided by j?
5
Suppose 2*m + 0 = -2*a - 26, -3*a - 7 = -5*m. Let q = -1 - a. Suppose 8 = g - 21. Calculate the remainder when g is divided by q.
5
Suppose 0 = 124*u - 2840 - 3112. What is the remainder when 92 is divided by u?
44
Let i be (-1 + -14 + 4)*(1 - -1). Let a be 18/(-4)*i/33. Suppose -53 = -4*c + 5*y, 3*c - 45 = -a*y + 5*y. Calculate the remainder when c is divided by 5.
2
Let u(m) be the second derivative of m**5/20 + 2*