lculate the remainder when k is divided by w.
9
Let b = 69 - 64. Suppose -33 - 82 = -b*k. What is the remainder when k is divided by 1?
0
Let l(z) = z**3 + 7*z**2 + 7*z + 2. Let m be l(-6). Calculate the remainder when 363 + (m - -7 - 8) is divided by 40.
38
Let c = 14002 + -13893. What is the remainder when 171 is divided by c?
62
Let s = -3269 + 4125. What is the remainder when s is divided by 171?
1
Let u = 7489 - 6959. What is the remainder when u is divided by 27?
17
Let h = -1813 + 2356. What is the remainder when h is divided by 76?
11
Suppose -88*s + 80*s = -2336. Calculate the remainder when s is divided by 99.
94
Let o(s) = 12*s**2 - 7*s + 3*s**3 + 2*s**3 + 203 + 2*s - 5*s - 6*s**3. What is the remainder when o(11) is divided by 36?
34
Suppose 0 = 4*r + 3*q - 363, -4*q = -3*r - 7*q + 273. Calculate the remainder when r is divided by 75.
15
Suppose -4*s = -3*x - 10 - 32, x + 5*s = 5. Calculate the remainder when 0 - -1 - x/1 is divided by (-4)/7 - (-2301)/413.
1
Suppose 57 = 5*i - 168. Suppose -i*q - 75 = -48*q. What is the remainder when 93 is divided by q?
18
Let r(m) = 131*m**2 + 4*m - 2. Suppose 0 = -3*n - n. Suppose n*z - 64 = -2*z. Calculate the remainder when r(-1) is divided by z.
29
Let u = -37 - -33. Let h(s) = 9*s. Let b be h(u). What is the remainder when (-4)/12*3 - b is divided by 9?
8
Suppose 5*a = -352 + 1262. Calculate the remainder when a is divided by 5928/130 + (-24)/90*(-6)/4.
44
Let w(p) = -p**3 + 33*p**2 - 121*p + 446. What is the remainder when 1163 is divided by w(29)?
260
What is the remainder when 7842 is divided by 51*44/30 - (-44)/(-55)?
72
Let m = 73 - 71. Suppose -4*n + 5*c = -11, -3*n + 5*c + m = -0*n. What is the remainder when 134 is divided by n?
8
Let f = -588 - -592. Suppose -13*g + 11*g - 162 = -f*w, w = -5*g + 57. Calculate the remainder when w is divided by 15.
12
Let t = 55350 + -55298. Suppose r + 469 = 3*y, r + 1 + 3 = 0. What is the remainder when y is divided by t?
51
Let z(r) be the third derivative of -r**4/8 + 7*r**3/6 - 2*r**2. Let w be z(5). Calculate the remainder when w/6*846/(-12) is divided by 16.
14
Let l be -22*2*(-4)/8. Suppose -o + 2*o = l. What is the remainder when (1*68/(-6))/(o/(-33)) is divided by 9?
8
Let y(r) be the first derivative of -r**4/4 + 8*r**3/3 - 4*r**2 - 2*r - 6. Let k be 8/(-20) - (-96)/15. Calculate the remainder when y(k) is divided by 5.
2
Let j = 35689 + -35649. Let v(h) = -h**3 - 11*h**2. Let u be v(-11). Suppose u = 6*o - 2*o - 472. Calculate the remainder when o is divided by j.
38
Suppose -18429 + 2149 = 40*m. Let w = m - -568. What is the remainder when w is divided by 84?
77
Let j(m) = -189*m**3 - 149*m**2 - 299*m - 5. What is the remainder when j(-2) is divided by 492?
33
Suppose -34*u - 37*u + 141 = -68*u. Calculate the remainder when 2865 is divided by u.
45
Let j(f) = 7*f + 316. What is the remainder when 278 is divided by j(-38)?
28
Suppose 0 = 19*h - 22*h + 111. Suppose -h*d = -32*d - 390. Calculate the remainder when d is divided by 41.
37
Suppose -8*l = -28 - 20. Let g(k) = 2*k**2 - 7*k + 12. What is the remainder when 165 is divided by g(l)?
39
What is the remainder when (1329/(-4))/((342/380)/(390/(-25))) is divided by 32?
31
Suppose -5*x + 22 = 4*k, 18*k - x - 7 = 15*k. Suppose 64 = 4*b + 3*z, 2*z - k*z - 23 = -b. Calculate the remainder when 75 is divided by b.
18
Let k = 570 - 407. Calculate the remainder when 314 is divided by k.
151
Let j(v) = -v**3 + 3*v - 3. Let w = -9 - -11. Let k be j(w). Let u(s) = -18*s - 16. What is the remainder when u(k) is divided by 19?
17
Suppose 6*q + 0*q + 1992 = 2298. What is the remainder when q is divided by -2 - 1/(2/(-30))?
12
Let m(h) = -211*h + 934. What is the remainder when 434 is divided by m(4)?
74
Let q(c) = 123*c - 310. What is the remainder when q(6) is divided by 64?
44
Suppose -3*w + 7*v + 4293 = -2587, v - 2320 = -w. Calculate the remainder when w is divided by 1.
0
Suppose 59*q = 11*q + 816. What is the remainder when q is divided by (-90)/12*(-4)/6?
2
Let o(z) = 43*z + 1. Let c(l) = -l**2 + 327*l - 16968. Calculate the remainder when c(66) is divided by o(1).
38
Suppose -8*b - 1552 = -5624. Calculate the remainder when b is divided by 164.
17
Let h be ((-8)/(-6))/(-4)*-8*3. Suppose -10*r = -h*r - 10. Suppose -2*i - 3*p = -139 - 156, -743 = -r*i - 2*p. Calculate the remainder when i is divided by 30.
29
Suppose 2*d - 45 = 27. Suppose d = -24*b + 26*b. Calculate the remainder when 60 is divided by b.
6
Let f = 50 + -20. Suppose 698*k - 70964 = 70*k. What is the remainder when k is divided by f?
23
Suppose 2*b + 5*h - 6*h - 11 = 0, 3*b - 3*h = 18. Suppose 3*l = -b*m + 764, -3*m - 4*l - 196 = -661. Calculate the remainder when m is divided by 22.
19
Let l(y) = -y + 25. Let u be (32/5)/((-12)/(-30)). What is the remainder when (7 + -11 + -1)/((-2)/6) is divided by l(u)?
6
Let t(d) = 0*d**2 + d - 10*d - d**2 + 20. Let v(x) = -94*x - 949. Let p be v(-10). Calculate the remainder when t(p) is divided by 8.
4
Suppose 2*c + 24 = 3*c. Let y(s) = -109*s + 57*s + 53*s + 41. Calculate the remainder when y(5) is divided by c.
22
Let s be (-4 + 3 + 0)*-13. Suppose -870 = 7*p - s*p. Suppose 0 = 2*b - 4*m - 54, -3*b - 2*b + 5*m + p = 0. What is the remainder when b is divided by 12?
7
Suppose 5*s - u = 1560, -10*u + 1560 = 5*s - 5*u. Calculate the remainder when s is divided by 140.
32
Let b(h) = 2*h**2 - 24*h - 9. Suppose -23 = 8*a - 127. Suppose 3*p - 7 = -3*t + 8, -20 = -t + 4*p. What is the remainder when b(a) is divided by t?
1
Let q = -44 - 96. Let p = -228 - q. Let t = -64 - p. Calculate the remainder when t is divided by 5.
4
Suppose 120 = -2*h - 3*n, -h - h + 5*n = 152. Let l = 378 + -375. Let u = l - h. Calculate the remainder when u is divided by 10.
9
Let p = -24 - -35. Let c = -7 + p. Suppose 104 = c*k - 0*k + 4*s, 108 = 4*k + 3*s. What is the remainder when k is divided by 16?
14
Let g be (50/4 + -4)/((-2)/(-36)). Let p = g - 130. What is the remainder when p is divided by 16?
7
Let h = 33 - -1. Suppose 6*i + 24 = 8*i - 4*j, -3*i + 5*j = -40. Calculate the remainder when h + (1 - (0 + -1)) is divided by i.
16
Let q = -108 + 136. Let j(l) = 53*l - 44. Calculate the remainder when j(6) is divided by q.
22
Let b = -138257 - -138304. Suppose 3*o = -1 + 13. Let j = o + 8. What is the remainder when b is divided by j?
11
Suppose 12*t - 6*t = 12. Suppose -14 = -2*g + 5*b, 4 = 3*g + g + t*b. What is the remainder when (-162)/(-10) + (70/25 - g) is divided by 5?
2
Let k = 87 - 84. Suppose -k*j + j = -142. What is the remainder when j is divided by 12?
11
Suppose -2*v + 20 = -5*n - 4, 0 = -4*n - v - 14. Let i(a) = 2*a**2 - 9*a - 19. What is the remainder when 180 is divided by i(n)?
33
What is the remainder when (1652/(-6))/((-3)/45) + (212 - 216) is divided by 48?
46
Let j = -3483 - -3604. What is the remainder when 123 is divided by j?
2
Suppose 0 = -3*u + j + 2975, -15*j = 5*u - 16*j - 4961. Calculate the remainder when u is divided by 5.
3
Let r = -27 + 41. Suppose 11 = j - r. Suppose 90 = j*c - 20*c. Calculate the remainder when 64 is divided by c.
10
Suppose 123*a - 42 = 126*a. Let p be (-3*(-1)/6)/((-7)/a). What is the remainder when (p - 4)*(-455)/21 is divided by 34?
31
Let j be (63/2 - -3) + (-1)/(-2). Suppose 5*z - 3*k = k + 95, 4*z - j = -5*k. What is the remainder when 37 is divided by (-3 - -4) + -2 + z?
9
Let z(a) = 4*a**2 + 45*a - 16. Let p be z(-12). Suppose p*b - 901 - 359 = 0. Calculate the remainder when 187 is divided by b.
61
Let r = 305 + -291. Suppose 4*d + 5*p - 472 = 0, -5*d - 2*p + 620 = 13. Calculate the remainder when d is divided by r.
11
Suppose -1 = -8*o - 17. Let l be ((-35)/(-10) - 4)*o. Let s(r) = 69*r**3 - r. Calculate the remainder when s(l) is divided by 18.
14
Suppose 5*p - 7 = 4*s + 314, s = -5*p - 74. Let l = 136 + s. What is the remainder when l is divided by (-14 - 1)*(-8)/10?
9
Suppose 2*q = 43 + 59. Suppose -b + 67 = 2*x, -9*x = -10*x + b + 32. Calculate the remainder when q is divided by x.
18
What is the remainder when (1916/(-3))/(6/(-10)) - (-8)/(-18) is divided by 69?
29
Suppose 8*x = -336 + 1160. What is the remainder when x is divided by 98?
5
Suppose -78*i - 38*i + 8*i + 15336 = 0. What is the remainder when 489 is divided by i?
63
Let k = 39