 + 10 + 369*f. Suppose 0*p = 4*p - 48. Calculate the remainder when g(-3) is divided by p.
4
Suppose -5*i - 127 = 3*h, -2*i + 6*h - 66 = 11*h. Calculate the remainder when (52/(-18))/(i/207) is divided by 15.
11
Suppose -u = -2*v + 129, 2*v - 2*u - 133 = 3*u. Suppose v - 149 = -w. What is the remainder when 594 is divided by w?
84
Suppose -4*a = 27*x - 22*x - 669, 0 = 4*a + 3*x - 675. Calculate the remainder when 180 is divided by a.
9
Suppose -6 = -5*z + z - 3*r, 4*z + 5*r = 10. Suppose -12 = -x - z*x. Calculate the remainder when 26 is divided by x.
2
Suppose 1254*f - 99 = 1245*f. What is the remainder when 3177 is divided by f?
9
Let o be 5 - 2 - 2/(-2). Let v(l) = 2*l - o*l + 2*l + 3*l + 17. Calculate the remainder when v(13) is divided by 19.
18
What is the remainder when 114 + (39/(-7) - 9/21) is divided by 4?
0
Let d = 597 + -594. Suppose 2*g - d = -1. What is the remainder when 4 is divided by g?
0
Let f(y) = 206*y + 5592. Calculate the remainder when f(-27) is divided by 3.
0
Suppose 4*p - 5*v - 312 - 222 = 0, 1110 = 8*p - 3*v. What is the remainder when p is divided by 8?
5
Let u be 2/6*(11 + -10)*-66. Suppose p + 3*c - 11 = 67, 2*p - c = 149. Let l = u + p. What is the remainder when l is divided by 14?
11
Suppose 4 = 401*w - 399*w. Suppose w*y - 3*t - 21 = 0, -2*y - 4*t = -t - 51. Calculate the remainder when 83 is divided by y.
11
Let k(n) be the first derivative of -n**4/4 - 7*n + 72. Calculate the remainder when 38 is divided by k(-3).
18
Let z(u) = u**2 + 9*u + 31. Let j be z(-7). Suppose -2*a = -139 + j. Suppose 3*d + a = 4*r, 0*r + d - 49 = -3*r. What is the remainder when 63 is divided by r?
15
Let o(b) = -b**3 + 5*b**2 + 23*b + 40. Calculate the remainder when o(6) is divided by 51.
40
Suppose 19*s + 6*s - 106468 = -18*s. Calculate the remainder when s is divided by 7.
5
Let b(h) = -23*h - 18. What is the remainder when 2707 is divided by b(-40)?
1
Suppose 12*p = 13*p - 5*z - 6, -4*p = -2*z - 78. Calculate the remainder when 18856 is divided by p.
19
Suppose 0 = -k - 9*k + 480. Let y be 8*-1*(-84)/k. Suppose -y*w = -9*w - 85. Calculate the remainder when w is divided by 4.
1
Suppose -2*q - 18*w + 19*w = -43, -2*q + 63 = -5*w. What is the remainder when 3114 is divided by q?
17
Suppose -j - 20 + 26 = 0. Let g(i) = 4*i - 4. Let v(x) = -x**2 - 7*x. Let u be v(-6). Calculate the remainder when g(u) is divided by j.
2
Let d(g) = 11*g + 2. Suppose 3*m - 48 = -3*s, -12*m + 3*s = -8*m - 50. Calculate the remainder when d(4) is divided by m.
4
Let g = -1854 + 4011. What is the remainder when g is divided by 54?
51
Let s(q) = -11*q - 11 - 35 - 8. Suppose 5*b - 69 = 3*l + 100, 0 = 2*b + 5*l - 49. What is the remainder when s(-16) is divided by b?
26
Let r = -401 - -469. Suppose 3*k - r = -3*j - 8, 0 = 4*j + 5*k - 85. Calculate the remainder when j is divided by -2*2*(-7)/4.
1
Let u = -216 + 223. Let r(n) = -n**3 + 6*n**2 + 11*n + 19. Calculate the remainder when r(u) is divided by 27.
20
Let p = 45 - 82. Let f = 99 + p. Let d = f + -8. Calculate the remainder when d is divided by 28.
26
Let q(b) = -34*b + 210. Let d = 592 - 587. Calculate the remainder when 319 is divided by q(d).
39
Suppose -37*f - 1104 + 3176 = 0. What is the remainder when f is divided by 25?
6
Let r(p) be the first derivative of -249*p**4/4 - p**3 - p**2 - 12. Let m be r(-1). Suppose -m = -10*s + 6*s. What is the remainder when s is divided by 21?
20
Calculate the remainder when 1094 is divided by ((-18)/(-30)*21/9)/((-38)/(-190)).
2
Calculate the remainder when 4 + 19*-25*(-14 + 6) is divided by 141.
138
Suppose -42*b + 41*b + 23 = 4*q, -3*b - 2*q = -19. What is the remainder when (b - (-2 - 86)) + -7 is divided by (-2)/6 - (-260)/6?
41
Let s(n) = -21*n**3 - 10*n**2 - 3. Calculate the remainder when s(-2) is divided by 16.
13
Suppose -2500 = -3*j - 7*j. What is the remainder when j is divided by 5?
0
Let l be ((-29)/(-6) + -5)*-30. Suppose 5*s - s - 570 = y, -l*s - 3*y = -704. What is the remainder when s is divided by 8?
6
Let p = 62 + -38. Suppose 12*h + 12 = 14*h, -42 = -3*m + h. Calculate the remainder when p is divided by m.
8
Suppose 19*y = -0*y - 4275. Let k = y - -374. Calculate the remainder when k is divided by 14.
9
Let q = -23 + 36. Let b be 1192/26 + (-16)/(-104). Suppose -2*l + 92 = 4*v, 5*v + b + 55 = 2*l. What is the remainder when l is divided by q?
9
Let b(j) = j**2 + 6*j - 2. Let f be b(-5). What is the remainder when 1*7*(-66)/f is divided by ((-24)/(-10))/(486/3240)?
2
Suppose -7 = -4*x + 17. Calculate the remainder when 157 is divided by (52 + x - 5)/1.
51
Let n(s) = -3*s - 17 - 304*s**3 - 9*s**2 - 312*s**3 + 617*s**3. What is the remainder when n(10) is divided by -1 - 3*1*-7?
13
Let y(u) = -u**2 + 8*u - 4. Let h be (5 - (-4)/(-1))*3. Let w be y(h). Suppose 63 = -10*r + w*r. What is the remainder when r is divided by 32?
31
Suppose -4*q + 137 = 3*o, 0 = o + 4*q - 2*q - 45. Let f be (3/2)/((-30)/(-160)). Suppose o = f*i - 7*i. What is the remainder when i is divided by 18?
11
Let x = 1147 - 1078. Suppose 9 + 1 = -2*q, 102 = 3*c + 3*q. What is the remainder when x is divided by c?
30
What is the remainder when 85 is divided by 2*(22 - 4) + (0 - (-3)/3)?
11
Suppose 144 = 2*w - 6*g + 3*g, 0 = -5*w - 3*g + 339. What is the remainder when w is divided by (-77)/(-2) - (195/(-26) + 10)?
33
Suppose -8*f = -4*q - 5*f + 11166, 2*f - 4 = 0. What is the remainder when q is divided by 13?
11
Let k be 1/(-3)*(-2 - 13). Suppose -k*j = -j - 156. Calculate the remainder when j is divided by 108/(-27) - -1*18.
11
Suppose 37*l - 45*l + 3750 = 22*l. Calculate the remainder when 281 is divided by l.
31
Let c(q) = 3*q**2 + q + 23. Let h(z) = z**2 - z + 1. Let m(w) = -c(w) + 4*h(w). Let r = -115 + 106. Calculate the remainder when m(r) is divided by 10.
7
Suppose 0 = -16*s - 7*s - 3335. Let f = -112 - s. What is the remainder when f is divided by 14?
5
Let p = 123 + -76. Let o(z) = z**3 - 19*z**2 - 45*z + 94. Let m be o(18). Let r = -1020 - m. What is the remainder when p is divided by r?
7
Let z = 99 + -89. Let c(k) = -k**2 + 5*k + 50. Let r be c(z). Suppose 3*p - 26 - 19 = r. Calculate the remainder when 42 is divided by p.
12
Suppose 49 = 2*d - 6*n + 13, 104 = 4*d + 4*n. Calculate the remainder when 320 is divided by d.
8
Let t be 4/7*(-21)/(-6). Suppose o - 20 = -3*j, -t*o - j = -6*o + 67. Let x(d) = 2*d**2 - 4*d + 31. Calculate the remainder when x(0) is divided by o.
14
Calculate the remainder when 73 is divided by (-7)/((-315)/414) - 16/(-60)*3.
3
Suppose 0 = 5*u - 5*x - 25, 5*x + 0*x - 5 = -u. Suppose 0*a + 105 = u*h - 5*a, 4*h + a = 69. Let w = 33 - h. What is the remainder when 54 is divided by w?
9
Let a(g) = 5*g**3 - 6*g**2 + 6*g + 3. Let x be a(3). Suppose 0 = 6*d - 2*d - 12, -f + 4*d = -x. Calculate the remainder when f is divided by 23.
22
Suppose -5*u - w - 3964 - 4145 = 0, -5*u = 2*w + 8108. Let t be u/(-7) + 4/14. Suppose -754 = -9*d - t. Calculate the remainder when d is divided by 15.
13
Suppose 6*v - 4*h = 9*v - 180, 0 = 2*v - h - 109. Calculate the remainder when 103 is divided by v.
47
Suppose -3*s = -7*s + 36. Suppose -4*c - 10 = -s*c. Suppose 5*w = -5*h + 245, -w - w = -c*h - 110. What is the remainder when w is divided by 14?
10
Suppose 0*r - r = 0, 9*c - 4*r = 6*c + 51. Calculate the remainder when c is divided by 10.
7
Let l = -1021 + 676. Let g = -294 - l. Calculate the remainder when g is divided by 22.
7
Let z(s) = s**3 + 7*s**2 - 45*s - 130. What is the remainder when 32517 is divided by z(-10)?
17
Let r = -137 + 141. Suppose r*i + 3*t = 91, t = -i - 3*t + 39. What is the remainder when 71 is divided by i?
14
Let c = -814 + 1029. Calculate the remainder when c is divided by 112.
103
Suppose -2*g = b - 3*g + 22, 2*b + 3*g + 24 = 0. Suppose 57*r + 47*r - 4482 = -r - 61*r. Calculate the remainder when r is divided by (-65)/(-9) + 4/b.
6
Let x = -1110 - -1140. What is the remainder when 50 is divided by x?
20
Suppose 59*g = 60*g + 2, d = 3*g + 52. What is the remainder when 642 is divided by d?
44
Suppose -v + 51*v - 10900 = 0. Let q = 188 - 131. What is the remainder when v is divided by q?
47
Suppose -4*w - c = -3710, 0*c - 3722 = -4*w + 5*c. What is the remainder when w is divided by 117?
109
Let r = -49 - -58. Let g = r + 40. L