= 24*g + 5*w - 313, 4*g + 4*w - 308 = 0. Suppose g*k = 68*k + 24. Calculate the remainder when 51 is divided by k.
3
Suppose -7*q + 848 = -794 - 17. Calculate the remainder when 451 is divided by q.
214
Suppose 39*j - 16536 = -120*j. Calculate the remainder when j is divided by 91.
13
Suppose 0 = 5*t - 407 - 203. Let c(x) be the second derivative of 5*x**3/6 + 13*x**2 + 18*x. Calculate the remainder when t is divided by c(3).
40
Suppose -2065 = 719*i - 726*i. Calculate the remainder when i is divided by 4.
3
Suppose -b - 2*b + 78 = 0. Suppose 0 = 62*t - 28829 + 20955. What is the remainder when t is divided by b?
23
Let h = 16173 - 16124. Calculate the remainder when 1165 is divided by h.
38
Let d(g) = -g + 33. Suppose 4*f = 12, -f - 4 = 2*x - 61. Let i(z) = z**3 + 6*z**2 - z + 12. What is the remainder when i(-6) is divided by d(x)?
0
Suppose -67 = -3*p + 8. Suppose -5*y = 4*q - 1957, 2*y - 29 = 4*q + 793. What is the remainder when y is divided by p?
22
Suppose 0 = 5*y - m - 18, 3*y + 3*m - 26 = -2*y. Suppose 45 = l - 5*q, y*l + q - 117 = -0*q. What is the remainder when l is divided by 23?
7
Let g(d) = -1 + 11 + 5 - 2*d - 2. Let r be g(5). Suppose r*i = -5*k - i + 44, -2*i = -2*k + 14. What is the remainder when 23 is divided by k?
7
What is the remainder when (-9568)/(-230)*(2 - (0 + 1/(-2))) is divided by 48?
8
Let i(p) be the first derivative of -143*p**2/2 + 50*p + 4. Let j be i(-26). What is the remainder when 154 is divided by (-2)/8 + j/96?
37
Suppose -48*x + 58*x - 30 = 0. Let w(c) = -c**3 + 8*c**2 - 11*c + 13. Calculate the remainder when 299 is divided by w(x).
24
Let c = 5302 - 5282. What is the remainder when 1221 is divided by c?
1
Suppose 4*s - 33 = -45, 7*m = -4*s + 11125. Calculate the remainder when m is divided by 145.
141
Suppose z - 1 - 1 = 2*q, 5*q = z - 5. Let b be 2*-1*((-8)/2)/(-4). Calculate the remainder when -11*1*q/b*-2 is divided by 7.
4
What is the remainder when 4138 is divided by (2/(-3))/(-2) - (-129389)/1443?
88
Let p = 16500 - 16448. What is the remainder when 9045 is divided by p?
49
Let b be -1*1*345/15. Let x = 25 + b. Suppose 0 = 3*s - 5*m + m - 53, -s - x*m + 31 = 0. What is the remainder when s is divided by 5?
3
Let z = 54 - 12. Let h(q) = 2*q**2 - 14*q + 19. Let t be h(8). What is the remainder when z is divided by ((-6)/(-2) + -2)/(t/385)?
9
Let c = 19807 - 19792. Let i(h) = -h**3 - 5*h**2 + 3*h + 6. Let o be i(-5). What is the remainder when (-2 - -1)*o*6 is divided by c?
9
Let l(s) = 11*s**2 - 2*s. Let b = -3114 + 3120. Calculate the remainder when l(2) is divided by b.
4
Let b(s) = -294*s + 6535. Suppose 2*r + 46 = 2*w, -5*r + 52 - 7 = 3*w. Calculate the remainder when b(22) is divided by w.
7
Suppose 4*g = 5*k + 61 + 39, 8*k = -32. Calculate the remainder when 85 is divided by g.
5
Suppose 11 = 2*d - 1. Suppose d*v = -0*v + 750. Suppose -2*c + 5*x + 79 = 0, -3*c + 64 + 29 = x. Calculate the remainder when v is divided by c.
29
Suppose -4*c = 2*k + 186 - 510, 2*k - 329 = c. Calculate the remainder when 962 is divided by k.
142
Suppose -1089*i = -1016*i - 117968. Calculate the remainder when i is divided by 15.
11
Suppose 3*h + 207 = 12*h. Suppose -15*m + 14*m + 168 = 2*j, 3*m - 4*j - 444 = 0. Calculate the remainder when m is divided by h.
18
Suppose -3*c = 9 - 18. Suppose c*a = 8*a - 45. Suppose -a*f = -3*f - 636. What is the remainder when f is divided by 27?
25
Let y = 4095 + -3844. What is the remainder when y is divided by 70?
41
Let n be 3 + 3507/28 - (-1)/(-4). Suppose -n*h = -129*h + 2. Suppose 0 = 3*x - 7*x + 16, -h*z + 96 = 5*x. Calculate the remainder when 188 is divided by z.
36
Let k(c) = -c**2 + 3. Let z be k(2). What is the remainder when (-2664)/(-36)*z*(-1)/2 is divided by 27?
10
Suppose -2*b = 2*q - 0*b - 142, 2*q - 133 = b. Suppose -2*c + 2*n + 22 = -q, -4*c - n = -165. Calculate the remainder when c is divided by (30 - 0)/(3 - 1).
12
Suppose 5*z = -5*m + z - 5, 4*z + 11 = -3*m. Suppose -m*j - 758 = -5*l + 3612, 5*l - 2*j - 4375 = 0. What is the remainder when l is divided by 10?
7
Suppose 41*s + 522 - 1383 = 0. Suppose -82*y = -80*y - 162. What is the remainder when y is divided by s?
18
Let g be (-87)/(-9) + -5 + (-2)/3. Suppose -6*k - 19 = w - g*k, -2*k = 4*w + 58. Let l(a) = 5*a + 67. Calculate the remainder when l(w) is divided by 2.
0
Let s = 830 + -840. Let t(i) = -i**3 - i**2 + 9*i - 6. What is the remainder when t(s) is divided by 13?
11
Suppose -37*l - 1255 + 8211 = 0. Calculate the remainder when l is divided by 12.
8
Calculate the remainder when 1057 is divided by ((-1)/(-2))/(-9 + (-27391)/(-3042)).
4
Let j be (-3796)/(-584)*(29 + 1 - 0). Suppose 13*p - j - 143 = 0. What is the remainder when 307 is divided by p?
21
What is the remainder when 2028 is divided by ((21/(-1))/7)/(15/(-175))?
33
Suppose -283*u - 74*u = -23*u - 57782. Calculate the remainder when 1394 is divided by u.
10
Let u(o) = -5*o**2 + 79*o + 19. Let a be u(15). Suppose 0 = -49*l + 50*l - a. What is the remainder when l is divided by 7?
2
Let n(c) = -72*c - 1643. Calculate the remainder when n(-56) is divided by 104.
101
Let g(n) = -n**2 - 26*n + 33. Let f be g(-27). Suppose 66 - 300 = -f*h. Calculate the remainder when 232 is divided by h.
37
Suppose -35*h + 924 = 7*h. Calculate the remainder when 33 is divided by h.
11
Calculate the remainder when 1697 is divided by -12 + -13 + (199 - 19).
147
Let n(z) = -5*z**3 - 6*z**2 + z + 1. Let t(o) = 9*o**3 + 12*o**2 - 3*o. Let a(x) = 7*n(x) + 4*t(x). Calculate the remainder when 218 is divided by a(-6).
33
Suppose -10*p = -2*p + 12279 - 19543. Calculate the remainder when p is divided by 244.
176
Suppose 5*g - 5 = -2*f, -2*f + 2*g = 2 - 0. Suppose f = 10*h - 6*h - 8. What is the remainder when 4 + -4 + -2 + 73 + h is divided by 25?
23
Suppose 5*h - 10 = 0, -v - 4*h + 4 + 13 = 0. Let k(m) = 2 - 2*m**2 + v*m**2 - 8*m - m**3 + m**2. Calculate the remainder when k(4) is divided by 19.
15
Suppose -624 = 476*j - 500*j. Calculate the remainder when 1347 is divided by j.
21
Let x be (20/110)/(0 - (-3)/33). Suppose 4*z + 15 = -2*t + 59, -x = t - 4*z. What is the remainder when 220 is divided by t?
10
Let m = 9004 - 8935. What is the remainder when 3725 is divided by m?
68
Let z(u) = -u**3 - 14*u**2 - 6*u - 79. Let v be z(-14). Suppose 0 = 3*c + v*y - 8, -14*c = -11*c + 2*y - 23. Calculate the remainder when 32 is divided by c.
10
Suppose 72*c + 5*l - 54 = 75*c, -3*c - 11*l = -186. Let y(p) = 2*p - 2. Let f be y(5). Suppose -q = -f - 26. Calculate the remainder when q is divided by c.
6
Calculate the remainder when 417 is divided by (-35066)/(-178) - -7*2.
206
Suppose 863 = 5*s + 5*g - 647, -938 = -3*s + 5*g. Suppose 0 = 11*f + s - 438. Calculate the remainder when 57 is divided by f.
9
Suppose -39*c + 45*c - 936 = 0. Suppose -150 = -9*q + c. Calculate the remainder when 66 is divided by q.
32
Let w = -90 + 4091. Calculate the remainder when w is divided by 52.
49
Let x be (-15)/(-30)*(7 - (-3 + 0)). Suppose 0 = 19*r - 17*r + 4, 4*n - x*r - 46 = 0. Calculate the remainder when 683 is divided by n.
8
Let u be 6/(-4)*(-8)/4*1. Calculate the remainder when 2 is divided by (-4)/(-30)*u*5.
0
Let q be (-4)/(-6)*-6 - (-30 + 29). Calculate the remainder when 87 is divided by 15 - (-2 + q) - -5.
12
Suppose 2*a - 4*i = 78, -a + 3*a - 78 = 5*i. Let y(z) = -2*z - 12. Let x be y(-8). Calculate the remainder when ((-10)/x)/(3/(-372)*2) is divided by a.
38
Let m(x) = 101*x + 326. Calculate the remainder when 222 is divided by m(-3).
15
Suppose -r = -0*r - 609. Suppose -60 = -15*l + 47 - 17. What is the remainder when r is divided by l?
3
Let g(w) = -2*w**3 + 95*w**2 + 144*w + 471. What is the remainder when g(49) is divided by 247?
77
Let m = 196 - 103. Let b = -561 + 925. What is the remainder when b is divided by m?
85
Let w(r) = -r**3 + 10*r**2 + 11*r + 1. Let m be w(11). Suppose -u = -m + 3. Calculate the remainder when (-2 - -4)*u - -72 is divided by 12.
8
Suppose -2*k - k + 333 = 0. Calculate the remainder when k is divided by 1*(-15)/(-5) + 7/98*14.
3
Let v be (15/(-9) + 2)/(1/183). Let d = -56 + v. Suppose d*w - 3*a - 192 = 2*w, 4*w - 226 = -2*a. What is the remainder when 233 is divided by w?
56
Suppose 0 = -12*d + 10*d - 2*p + 382, -4*d - 2*p + 756 = 0. Let n = d