 190 = 5*d + 3, b = 3*d - 5*i. Let w(u) = 19*u**2. Calculate the remainder when d is divided by w(1).
18
Let b = -12372 + 49426. What is the remainder when b is divided by 16?
14
What is the remainder when 7/((-70)/(-38855)) - (-12)/(-8) is divided by 81?
77
Calculate the remainder when 6/(-27) + (-3359)/(-9) is divided by 23.
5
Let w(b) = -b**2 - 9*b - 27. Let l be w(-5). What is the remainder when (-3419)/l + 2*18/63 is divided by 49?
48
Calculate the remainder when (-2 + 7/2)*36 is divided by (70/8)/((-3745)/(-2996))*96/14.
6
Suppose 2*k + 5*y - 5 = 6, 4*y - 10 = -2*k. Suppose 79 = f + 3*h, -19*f = -14*f - k*h - 305. Calculate the remainder when f is divided by 11.
9
Let a(t) = -35*t + 794. What is the remainder when 110 is divided by a(21)?
51
Suppose n = p + 548, -6*n - 4*p = -n - 2767. Calculate the remainder when n is divided by 253.
45
Let z(i) = i**2 + i + 3. Suppose -2*c - 5*a + 25 = 0, 0 = 3*c + 4595*a - 4599*a - 141. What is the remainder when c is divided by z(0)?
2
Let y(s) = -5*s. Suppose -8 = -34*h + 33*h. What is the remainder when (-299)/(-11) - h/44 is divided by y(-2)?
7
Let d = -8370 + 8534. What is the remainder when d is divided by 6?
2
Suppose 4*p - 33170 = a, -2*a - 3*a - 33162 = -4*p. Suppose -44*g = -p - 5083. Calculate the remainder when g is divided by 34.
32
Suppose 3 = r - 2. Calculate the remainder when 3105873/(-3987)*2/(-82) is divided by r.
4
Let c = 10 - 10. Suppose -3*o - 2*p - 9358 = -c*o, -p - 15599 = 5*o. Calculate the remainder when 89 is divided by (-1)/5 + (o/25)/(-4).
27
Suppose 0 = -57*o + 3*o - 43*o + 758831. Calculate the remainder when o is divided by 86.
83
Calculate the remainder when 274 is divided by (-2 + (-31)/2)*((-4158)/45)/11.
127
Let s(w) = 36*w + 46. Let q(a) = 35*a + 47. Let f(g) = -4*q(g) + 3*s(g). Calculate the remainder when f(-4) is divided by 109/4 - 2/8.
24
Let a = -2275 - -2529. What is the remainder when 517 is divided by a?
9
Let l(h) = 6*h**3 - 12*h**2 - 5*h + 8. Let j(c) = c**3 + c**2 - c + 139. What is the remainder when j(0) is divided by l(3)?
45
Let k = -51 + 72. Let t be (-12)/(-15)*5/2. Let s(r) = 12*r**3 + 3*r**2 - 3*r + 2. What is the remainder when s(t) is divided by k?
20
Let v(u) = -7*u**3 + 2*u**2 - 23*u - 24. Calculate the remainder when 2614 is divided by v(-1).
6
Suppose -3*x + 6 + 12 = 0. Let h = 26 - 77. Let z = h + 74. What is the remainder when z is divided by x?
5
Let d be (5 + (0 - 7))/2. Calculate the remainder when 44 is divided by (d*8)/(5/(-5)).
4
Let d = -5709 + 5890. What is the remainder when 390 is divided by d?
28
Let s(i) = -15*i - 147. Let f(t) = 26*t + 294. Let n(j) = 3*f(j) + 5*s(j). What is the remainder when n(-23) is divided by 61?
17
Suppose -89*i - 3*d = -86*i - 63, 2*i = -d + 35. Calculate the remainder when 3554 is divided by i.
12
Let m(h) = -7*h**2 + 186*h - 210. Calculate the remainder when 448 is divided by m(25).
58
Suppose 3*m - 3*p - 279 = 0, -4*p + 36 = m - 27. What is the remainder when 1310 is divided by m?
5
Let y(n) = -13*n**2 + 8*n - 24. Let f(z) = 65*z**2 - 41*z + 123. Let g(t) = -2*f(t) - 11*y(t). What is the remainder when g(4) is divided by 51?
49
Let n = 37191 + -37163. Calculate the remainder when 2612 is divided by n.
8
Let v = -9522 - -10056. What is the remainder when v is divided by 141?
111
Calculate the remainder when 5557 is divided by (-61393)/(-292) - (-60)/16.
207
Suppose -g + b + 592 = 0, -6*b - 2392 = -4*g - 10*b. Let n = 610 - g. Calculate the remainder when 72 is divided by n.
12
Let y be (-2)/(-6)*(-4 - (-8)/2). Let s = y + -9. Let h(u) = -5*u + 28. What is the remainder when h(s) is divided by 19?
16
Suppose 0 = -4*w + 2*w + 282. Let y(d) = -d**2 - 8*d - 11. Let v be y(-8). Let f = 0 - v. What is the remainder when w is divided by f?
9
Let l = 5255 + -4837. What is the remainder when l is divided by 85?
78
Let y(m) = 14*m + 1742. Calculate the remainder when y(-100) is divided by 42.
6
Calculate the remainder when 3643 is divided by ((-37 - -38) + 13/(-5))/((-10)/1425).
223
Let k(g) be the third derivative of -g**6/120 + g**5/3 - 17*g**4/24 - 7*g**3/2 - 2*g**2 + 5*g. Calculate the remainder when 99 is divided by k(19).
14
Let x(y) = y**2 + 22*y + 47. Let n be x(-21). Suppose -27 - n = -u - 3*r, 5*u = 2*r + 248. What is the remainder when u is divided by 6?
2
Suppose -14*x + 31*x = 90865. Suppose -x = -32*y + 16479. What is the remainder when y is divided by 9?
7
Let f(g) = 2*g**3 - 50*g**2 + 3*g - 10. What is the remainder when f(25) is divided by 21?
2
Suppose 0 = 9*k - 15*k + 108. Let p be ((-2)/(-3))/(4/k). Suppose 164 = -p*i + 7*i. Calculate the remainder when 162 is divided by i.
39
Let t be (-6)/4 + 85/10. Let d(h) = 24 - 2 + 0 + 3*h - 2*h. What is the remainder when d(t) is divided by 10?
9
Suppose -3 = -v + 2*r + 171, 179 = v + 3*r. Calculate the remainder when (0 - -20)/((v/(-77))/(-8)) is divided by 18.
16
Suppose 5*n - 100 = 4*q, -97 = -3*n - 2*q - 3*q. Suppose y + n - 131 = 0. Suppose 3*s - 66 = -0*s. Calculate the remainder when y is divided by s.
19
Let s(w) = w**3 + 7*w**2 - 8*w - 9. Let k(q) be the third derivative of -q**4/4 - 16*q**3/3 - 15*q**2. Calculate the remainder when s(-7) is divided by k(-8).
15
Suppose 37*i = 44*i - 18*i + 627. Calculate the remainder when 425 is divided by i.
26
Let v = -157 + 254. Let a be (77/(-35))/(-11) - (-122)/(-10). Calculate the remainder when v is divided by (11/(-2))/(-2*(-3)/a).
9
Let k(x) = -41*x**2 + 2*x + 3. Let r be k(1). Calculate the remainder when -2*1 + (-93)/(-1) is divided by (276/r)/(14/(-6) + 2).
22
Let h = -16749 - -17073. Calculate the remainder when h is divided by 172.
152
Let v = 137 - 164. Calculate the remainder when 102 is divided by ((-148)/(-6))/((-18)/v).
28
Let u = -192 - -196. Suppose 2*k + u = 0, -5*z + 2*k - 23 + 197 = 0. What is the remainder when z is divided by 26?
8
Let f(c) = -50*c**3 - 2*c**2 + 1. Let z be f(-1). Suppose -3*y = h - 50 + 7, 34 = 2*y - 2*h. What is the remainder when z + (1 - (6 + 1)) is divided by y?
13
Suppose 2*s + 2*b - 104 = 0, -s + 4*b + 4 = -b. What is the remainder when 4790 is divided by s?
38
Suppose 4*o - o = -6. Let n be 0 - ((-7 - -4) + o). Suppose n*b - i = 360, 2*b + i + 3*i = 122. What is the remainder when b is divided by 37?
34
Let x(b) = 2*b**3 + 22*b**2 + 35*b - 126. Let w be x(-9). Let f(j) = 26*j + 4. Let z be f(-5). Let c = w - z. Calculate the remainder when 17 is divided by c.
8
Suppose l = -2*l + 24. Suppose -2*p + l*p = 12. Suppose 0 = -5*r - p*z + 35, 2 = 4*r + 5*z - 9. Calculate the remainder when 13 is divided by r.
4
Suppose -4*i - 8 = f - 16, 4*f + i = 62. What is the remainder when 2443 is divided by f?
11
Suppose u = -6*o + 50, 56 = -80*o + 84*o - 5*u. What is the remainder when 8960 is divided by o?
5
What is the remainder when 4453 is divided by ((-32)/(-6))/(20/30) - 0?
5
Let i = -33 + 35. Suppose i*h = 114 + 40. Suppose 4*t - 27 = h. Calculate the remainder when t is divided by 7.
5
Suppose -39 = -i - 3*c, 7*c = -5*i + 3*c + 228. Suppose -4*n - 2*k + 58 = 0, -n + 5*n = 4*k + 40. What is the remainder when i is divided by n?
9
Suppose 3*t + 196 = 17*t. Let i = 29 - t. Suppose i*d = 13*d + 48. Calculate the remainder when 44 is divided by d.
20
Suppose 0 = -t - 2*t. Suppose 2*l + l = t. Suppose l = 2*r - 0*r - 10. What is the remainder when 23 is divided by r?
3
Calculate the remainder when 2148 is divided by (7553/(-91))/(2/(-4)).
156
Let c(i) = -i**2 + 8*i - 1. Suppose 1161*g - 110054 = -1085*g. Calculate the remainder when g is divided by c(5).
7
Calculate the remainder when (44/2)/(-110) - 432/(-10) is divided by 40.
3
Suppose 3*m + 2*u - 2 = 0, 2*m + 6*u + 2 = 3*u. Calculate the remainder when ((-297)/12)/3*(m + -14) is divided by 5.
4
Calculate the remainder when 832 is divided by 433/8 - (-11 - (-1068)/96).
22
Suppose 16345 = 67*l - 38327. What is the remainder when l is divided by 193?
44
Let g(r) = 4*r**2 + 236*r - 2873. What is the remainder when g(12) is divided by 139?
118
Let a = 16 - -6. Suppose 10*q = 16 + 14. Suppose -5*u + 0*w - q*w + 67 = 0, 18 = u - 4*w. Calculate the remainder when a is divided by u.
8
Let t(k) = -22*k + 246. Let b(n) = 2*n - 37. Let g be b(24). Suppose 0 = u - 17 - 2. Calculate the remainder when u is divided by t(g).
