er when 2795 is divided by x.
0
Let c(x) = -691*x**2 - 7*x + 5*x**3 + 687*x**2 + 0 + 39 - 10*x. Calculate the remainder when 82 is divided by c(2).
24
Let i(r) be the first derivative of 15*r - 42 + 9/2*r**2 + 2/3*r**3. What is the remainder when 96 is divided by i(-5)?
16
What is the remainder when ((-3)/18*-3)/((-110)/(-660)) + 473 is divided by 179?
118
Let k be 12 + 43 + 1*2. Let o = k - 14. Calculate the remainder when o is divided by 24.
19
Suppose -4*g + 296 = 3*u, 358*u + 2*g - 310 = 355*u. What is the remainder when u is divided by 44?
20
Let r = 3704 - 3659. Let p be (-15)/(-10) + 6/4. Suppose -p*o + 14 = -2*w + 1, 12 = 3*w. Calculate the remainder when r is divided by o.
3
Suppose -m - 9 = -2*b + 101, -b + 2*m = -52. Let c(n) = 15*n - 245. Calculate the remainder when b is divided by c(17).
6
Calculate the remainder when 122 is divided by (-38)/((-2)/8 - (-51)/(-68)).
8
Let o(p) = -p + 16. Let b = -249 + 329. Suppose -69*d = -74*d + b. What is the remainder when o(-11) is divided by d?
11
Suppose -558*b + 559*b = 3*r - 4103, 0 = -3*r - 3*b + 4095. What is the remainder when r is divided by 38?
37
Let s(x) = -x**2 + 23*x + 6. Let f be s(18). Suppose -322 = 89*q - f*q. Let m(a) = a**3 + a**2 - a + 91. What is the remainder when m(0) is divided by q?
45
Let r = 4 + 15. Let w = -679 - -214. Let m = -372 - w. What is the remainder when m is divided by r?
17
Let b(i) = 4*i - 16. Let a be b(5). Suppose -r + 96 = 3*d - a*r, -d + 12 = 3*r. What is the remainder when (-105)/(-6)*(-6)/(-1) is divided by d?
24
Let t = 2308 - 2301. What is the remainder when 214 is divided by t?
4
What is the remainder when 647 is divided by 1/(-3)*(-98)/(-7)*-3?
3
Suppose 5*f = -5*b + 835, -342 = -2*f - 8*b + 10*b. Calculate the remainder when f is divided by 28.
1
Suppose 2*r - 34 = 20. Suppose 0 = -94*a + 99*a + 35. Calculate the remainder when r is divided by (-1)/a + (-3 - 62/(-7)).
3
Let b(z) = -4*z + 156. Calculate the remainder when b(-64) is divided by 102.
4
Let s(k) = -3*k + 8. Calculate the remainder when s(-7) is divided by 21 + (-2 - 0) - (29 + -32).
7
What is the remainder when (-3)/2*1 + (-13660)/(-40) is divided by 50?
40
What is the remainder when (-12)/(-2)*(15 - 2404/(-8)) is divided by 158?
155
Suppose w - 2 - 6 = 0. Let j be w + ((-30)/(-5))/(2/(-1)). Suppose 3*i + i = 3*z + 25, -z = -j*i + 45. What is the remainder when 23 is divided by i?
3
Let i = -138 - -174. Suppose 0 = -x - 4*y + 2*y - 1, 26 = 4*x + 2*y. Calculate the remainder when i is divided by x.
0
Let b(q) be the second derivative of q**5/20 + 5*q**4/4 + 2*q**3 - q**2 + 132*q. Suppose 7 = -0*y + y. What is the remainder when b(-14) is divided by y?
5
Suppose 3*l = 5*g + 1512, -189*l + 194*l - 2551 = -2*g. What is the remainder when l is divided by 123?
17
Calculate the remainder when ((-45)/20)/9 - (-11451)/44 is divided by 139.
121
Suppose -3*z = -3*n + 24, 5*n - 3*z = -0*z + 46. Let r = -1219 - -1213. What is the remainder when (99/r + 1)*(-13 + n) is divided by 11?
9
Suppose -48*a - 96 = -3194 - 118. What is the remainder when 16212 is divided by a?
65
Let q(g) = -3*g + 4. Let x be -24 + -1 + -11 + 2 + 5. What is the remainder when q(x) is divided by 23?
22
What is the remainder when 98 is divided by 11/(12*12/1152)?
10
Suppose -44*a + 154 + 154 = 0. Suppose -61 - 373 = -a*z. Calculate the remainder when 180 is divided by z.
56
Let s(y) = 139 + 141 + 9*y - y**2 - 271. What is the remainder when s(7) is divided by 4/(-18) + 168/27?
5
Suppose 0 = 146*s + 293 - 2191. Calculate the remainder when 183 is divided by s.
1
Let y(w) = w**3 + 13*w**2 + 8*w - 1. Let o be y(-11). Let i = 89 + o. Calculate the remainder when i is divided by 27.
26
Suppose p + 4*s - 852 + 181 = 0, -3*p + 3*s + 1983 = 0. Let v = 730 - p. What is the remainder when v is divided by 38?
29
Suppose 0 = 4*z + 2*u - 1926, -z + 489 = -5*u + 7*u. What is the remainder when z is divided by 126?
101
Suppose 161*m - 18619 - 12298 = 118*m. What is the remainder when m is divided by 80?
79
Suppose 27*z = 21*z - 5*q + 2166, 3*z - q - 1062 = 0. Calculate the remainder when z is divided by 119.
118
Let i(a) be the third derivative of 43*a**6/120 + 3*a**5/20 - 11*a**4/24 + a**3/6 + 35*a**2 - 3*a. What is the remainder when i(1) is divided by 13?
3
Calculate the remainder when 4264/104 - -1*2 is divided by 8.
3
Suppose -5*a - b + 1356 = 0, -24*a = -19*a - 2*b - 1368. What is the remainder when a is divided by 87?
11
Suppose 0 = 2*k + 10, 7*v - 4*k - 277 - 163 = 0. Calculate the remainder when 238 is divided by v.
58
Suppose 134*x - 135*x = 64. Let m be (-16)/x - (-1 - 22/8). What is the remainder when 2 - -25 - 4*m/16 is divided by 10?
6
Let o be -6 + 2 - (2 + -143). Let i = o + -89. What is the remainder when i is divided by 10?
8
Let k(i) = -462*i - 1837. Calculate the remainder when ((-1)/2)/((-1)/50) is divided by k(-4).
3
Suppose -3*k = -167 - 256. Suppose 0 = 3*b + 5*x - 24, 62*x - 66*x = -3*b + 78. What is the remainder when k is divided by b?
15
Let l(v) = -11*v**2 - 26*v + 61. Let q(d) = 10*d**2 + 25*d - 61. Let n(a) = -3*l(a) - 2*q(a). Calculate the remainder when 186 is divided by n(2).
45
Let z(b) = 12*b - 1278. What is the remainder when 446 is divided by z(110)?
26
Calculate the remainder when 3580 is divided by ((-256)/(-10))/((-264)/(-660)).
60
Let i = -116 - -113. Let h be (1/(i/2))/((-46)/207). Suppose 2*u - h*g = -0*g + 117, 41 = u + 2*g. Calculate the remainder when u is divided by 24.
3
Suppose -3*u = 3*v - 291, -2*u + 4*v = v - 219. Suppose 24*r = 30*r - u. Calculate the remainder when r is divided by 5.
2
Let l be (1 + -4)/(8/(4592/(-21))). Let a = l - -7. Calculate the remainder when a is divided by 39.
11
Let x = -14851 + 15234. Calculate the remainder when 1159 is divided by x.
10
Let g = 973 - 791. Suppose -2*f + 117 = 379. Let s = g + f. What is the remainder when s is divided by 30?
21
Let t = -151 - -405. Calculate the remainder when t is divided by 65.
59
Let s(l) be the second derivative of -38*l + 0 - 2/3*l**3 - 15*l**2. Calculate the remainder when 26 is divided by s(-11).
12
Suppose 18*h - 15*h = -5*w - 114, -h + 18 = -w. Calculate the remainder when 116 is divided by 29 + 2 - (-14 - w).
20
Let s(b) = -3*b**2 + 23*b + 3. Let c be s(10). Let o = c - -71. Suppose 148 = 4*a + 4*y, 3*a - 122 = -o*y - 16. Calculate the remainder when a is divided by 15.
12
Suppose 0 = -3*f + 128 - 14. Suppose 2*d = -5*t + 117, 3 = 113*t - 114*t. Suppose 0 = -0*y - d*y + 858. Calculate the remainder when f is divided by y.
12
Let p be -3 + (1 - -2 - -4). Suppose 5*a = h + 1091, 0 = -4*a - p*h + 868. What is the remainder when a is divided by 13?
10
Let t(m) = m**3 + 10*m + 2*m + 22*m**2 - 187 + 7*m + 189. Let w = -65 - -44. What is the remainder when t(w) is divided by 12?
8
Let d = -14926 - -16017. What is the remainder when d is divided by 40?
11
Let y(n) = 4*n - 81. Let g = 13 - 13. Let t(r) = r**3 + r**2 - r + 51. What is the remainder when t(g) is divided by y(23)?
7
Let u = -965 + 1012. Let s = -16 + 26. Suppose s = 3*b - 38. Calculate the remainder when u is divided by b.
15
Let m be 0 - -24 - (2 + -5). Suppose 4*x = 5*d - m, x = -5*d + 6*x + 25. Let a(w) = 24*w + 1. Calculate the remainder when a(d) is divided by 43.
40
Suppose -4 = 4*r, 5*m + 3 = 4*m - 3*r. Suppose m = -6*s + 66 + 198. Calculate the remainder when (-1090)/4*16/(-20) is divided by s.
42
Let c(d) be the second derivative of d**4/2 - 22*d**3/3 + 18*d**2 + 3*d + 15. Calculate the remainder when 190 is divided by c(8).
54
Let c = -6930 - -6960. Calculate the remainder when 3659 is divided by c.
29
Suppose -p = 9*m - 8*m + 243, -4*p = 12. What is the remainder when 106 is divided by (-12)/18 + (m/(-18))/5?
0
Suppose -6899 + 2049 = -5*o + 3*s, 4*o = -4*s + 3912. Let i = -121 + 196. Calculate the remainder when o is divided by i.
73
Let y(u) = -u**3 - 18*u**2 - 19*u - 9. Calculate the remainder when y(-19) is divided by (-59 + 74)*(22/6 - 0).
53
Let s(u) = u**2 - 7*u + 6. Let x be s(6). Let m be (-9)/9*((-2 - x) + 0). Suppose -m*g = g - 30. What is the remainder when 16 is divided by g?
6
Let g(b) = 27*b + 135. Let s be g(-5). Suppose s = i + o - 17, i + 6*o = 10*o + 42. What is the remainder when 191 is divided by i?
15
Let v = -15877 - -1