Suppose -49 = -4*i + 19. Calculate the remainder when v is divided by i.
12
Let c = -242 - -249. Let u(p) = 2*p**3 - 12*p**2 + 7*p + 3. Suppose -5*d + 4*o + 79 + 131 = 0, -43 = -d + o. What is the remainder when u(c) is divided by d?
36
Suppose 0 = -3*n + 4*b + 71, -599*b + 601*b + 108 = 4*n. Calculate the remainder when 2172 is divided by n.
26
Suppose 38*h = 37*h. Suppose -s - 18*s + 1577 = h. What is the remainder when s is divided by 34?
15
Suppose o - 5*o = -j - 365, -o + 80 = 2*j. Let v(h) = -5*h + 23. What is the remainder when o is divided by v(2)?
12
Suppose 4*w - 12 = 8, 4*t - 35 = -3*w. Suppose f - 4 = -5*a, 0 = -t*a + 3*a. Calculate the remainder when 14 is divided by f.
2
Let d(a) = -74*a + 9. Let c be d(-3). Let h be 1/((-7)/c)*1/(-3). Suppose 9*v = h*v - 18. What is the remainder when 107 is divided by v?
8
Let a be (8/20)/(1/10). Let v be (-5)/(110/a) - (-1974)/(-33). Let y = -45 - v. What is the remainder when 148 is divided by y?
13
Suppose 85*h = 23*h + 4836. Calculate the remainder when h is divided by 21.
15
Let q = -2123 - -2128. What is the remainder when 58 is divided by q?
3
Suppose -4*k - 5*v - 2799 + 2883 = 0, -k + 5*v = -46. Calculate the remainder when 830 is divided by k.
24
Let r(y) = -1729*y - 5552. Calculate the remainder when r(-4) is divided by 171.
167
Let u = 19 - 6. Suppose -6*s - d = -8*s + 830, 0 = 2*s - 5*d - 838. Let l = -408 + s. What is the remainder when u is divided by l?
1
Let d(l) = 2*l**2 + 32*l + 113. Let k be d(-9). Let r(g) = -6*g + 53. What is the remainder when r(k) is divided by 46?
39
Let k = -5694 - -5986. Calculate the remainder when k is divided by 143.
6
Let m(c) = -c**2 - 19*c - 27. Let i(j) = 2*j + 18. Let y be i(6). Let a = 43 - y. Calculate the remainder when m(-13) is divided by a.
12
Suppose 9*a - 14*a = 5*p - 1255, -3*a + p = -729. Calculate the remainder when 741 is divided by a.
6
Let q(b) = 4*b**2 - b - 194. Let k be q(0). Let h = 211 + k. Calculate the remainder when 117 is divided by h.
15
Suppose -5*w + 5*v = 795, -5*w + 3*v = 8*v + 825. Let m = 168 + w. What is the remainder when 20 is divided by m?
2
Suppose 9 = 4*f + 1. Let r be (790/(-15))/(f/(-18)). Suppose 5*t + r = 11*t. Calculate the remainder when t is divided by 16.
15
Suppose -72*n + 84933 = 28206 - 94545. Calculate the remainder when n is divided by 117.
112
Let a = -48 - -52. Suppose 0 = 17*j - a*j - 221. What is the remainder when 47 is divided by j?
13
Let u = 37 + 2. Suppose 4*n = -5*j + 2*n + u, 2*n = -6. What is the remainder when 16 is divided by j?
7
Suppose -3*y + 54 = 15*y. Suppose -y*p - 7*p = 0. Suppose p*c = -3*c - 3*k + 51, 0 = 5*c - 5*k - 35. Calculate the remainder when c is divided by 5.
2
Let i = 11322 - 10418. What is the remainder when i is divided by 63?
22
Let t(m) = -2*m**3 + 61*m**2 - 26*m - 118. Calculate the remainder when 486 is divided by t(30).
0
What is the remainder when (-25470)/(-10) - (-4 - 0/(2/(-2))) is divided by 29?
28
Let j(r) = -2*r**3 - 35*r**2 + 17*r + 44. Calculate the remainder when 172 is divided by j(-18).
48
Suppose 0 = 2*w - 10*w + 128. Let p be -3*(-1 + 0 + 0). Suppose p*j - 12 = -2*d + 10, 4*j = w. Calculate the remainder when d is divided by 3.
2
Let a be ((-10)/(-3))/(4/6). Let w be a + (0 - 0) + 3. Suppose -3*q = -2*f + 62, 3*f + 5*q + 145 = w*f. What is the remainder when f is divided by 9?
7
Suppose 118*i = -63*i + 793 - 69. Let p be (1*-1)/(-1 - 0). Let u(w) = 6*w**2 - 1. What is the remainder when u(p) is divided by i?
1
Let j be 3 - 1786/22 - 2/(-11). Suppose 2*u - 100 = 4*i, 3*i = 2*i + 3. Calculate the remainder when u is divided by 394/26 + 1 + 12/j.
8
Let z be (-4)/(-80)*-5 - (-529)/4. Let d = z + -59. What is the remainder when d is divided by 15?
13
Let o = 256 + -249. Suppose -o*s + 290 = -39. What is the remainder when s is divided by 29?
18
Let b = -10336 - -12482. What is the remainder when b is divided by 270?
256
Let n(w) = 126*w - 952. Suppose 3*h = 4*s - 658, -3*h = -h - 4. Calculate the remainder when s is divided by n(8).
54
Let p(m) = -m**3 - 3*m**2 - 4*m - 2. Suppose -16*g + 1072 = -0*g. What is the remainder when g is divided by p(-3)?
7
Let u(f) = f**3 + 85*f**2 + 170*f + 841. What is the remainder when u(-83) is divided by 129?
122
Let y(o) = 3*o**2 + 58*o + 24. Let f be y(-19). Suppose -f*m = n - 24, -2*n + 5*m = 3*n - 90. What is the remainder when 75 is divided by n?
18
Suppose 5*f - f - 292 = 0. Suppose 0 = -2*c + 9*x - 11*x + 216, 2*c = -3*x + 212. Let p = c - 87. What is the remainder when f is divided by p?
23
Let g(i) = i**3 + 4*i**2 - 2*i - 4. Let x(y) = -y**2 + 141*y - 1588. Calculate the remainder when x(13) is divided by g(-3).
10
Suppose 18400 = 169*w - 281*w + 144*w. What is the remainder when w is divided by 172?
59
Suppose -235 = -f - 2*m, 0 = 3*f - 5*f + m + 455. Suppose 2*k = x + f, -x - 4*x = 5*k - 610. What is the remainder when k is divided by 30?
27
Let v(j) = 110*j - 427. Calculate the remainder when 212 is divided by v(4).
4
Let m(l) = -l - 2. Let o be m(-6). Let i(n) = n**3 - 4*n**2 + 3*n - 3. Let c be i(o). Calculate the remainder when 12/c - 1 - 640/(-15) is divided by 24.
19
Suppose -5*y + 3656 = 3*u - 2*u, 1444 = 2*y + 5*u. Calculate the remainder when y is divided by 21.
18
Let u = 12207 - 11082. Calculate the remainder when u is divided by 232.
197
Let w be 498 - (4 + 4 + -5). Suppose -3*y + 1602 = w. What is the remainder when y is divided by 53?
51
Let o(u) = u**2 + 3*u - 5. Let f be o(-5). Suppose -f*l + 4 - 14 = 0. What is the remainder when 20 is divided by (-1)/(-3) + (l - (-23)/3)?
2
Let v(x) be the third derivative of -x**6/120 + x**5/60 - 13*x**4/24 - 4*x**3/3 + 219*x**2. Calculate the remainder when v(-3) is divided by 1/(-3) - 31/(-3).
7
Calculate the remainder when 369 is divided by ((2 - 62)/4)/(58/(-58)).
9
Suppose -22*p - 168 = -26*p. Let y(g) = -g**2 + g + 3. Let z be y(-5). Let l = z + p. Calculate the remainder when l is divided by 8.
7
Suppose 9*l + 47 = -7. Let r(g) = -g**3 - 8*g**2 - 12*g + 10. Let d = 113 + -25. What is the remainder when d is divided by r(l)?
8
Let d(s) = 97*s + 988. Calculate the remainder when d(-9) is divided by 35.
10
Suppose 48*o - 834 = 270. What is the remainder when 780 is divided by o?
21
Let w(k) = -k**3 - k**2 - k + 36. What is the remainder when w(0) is divided by ((-30)/24)/((-56)/448)?
6
Let o(a) = -14*a**2 + 189*a - 61. Suppose 5*z - 5*k = -15, 0*z - 2*k = 5*z - 20. Suppose -z*y + 45 = 3. Calculate the remainder when o(13) is divided by y.
9
What is the remainder when 21 - ((-13 - 14) + -64) is divided by 4/2 - 1 - -29?
22
Let x = -3 + 13. Suppose x*s - 8*s = 42. Let v = 26 - s. What is the remainder when 13 is divided by v?
3
Let r(k) = -k**2 - 16*k + 28. Let m be ((-24)/20)/(9/(-60)). Suppose -m*s = -13 - 35. Calculate the remainder when r(-10) is divided by s.
4
Suppose -3*x - x = 2*o + 2, -5*o - 3*x = -16. Suppose -n = -o*v + 170, -9*v - 4*n + 195 = -4*v. Calculate the remainder when 136 is divided by v.
31
Let b(o) = o**3 + 27*o**2 - 5*o + 122. What is the remainder when b(-26) is divided by 15?
13
Suppose r + 6 = 4*j, -3*r - 3*j = 2*j + 103. Calculate the remainder when 100 is divided by 368/14 - r/(-91).
22
Let q(u) = u**2 + 115*u - 1755. What is the remainder when 577 is divided by q(15)?
187
Let w(c) = 16*c**2 - 70*c - 69. Suppose 3*t + 17 = 2*a, 3*t = -2*a - 7 - 6. Let d = 6 - t. What is the remainder when w(-1) is divided by d?
6
Let p(a) = -23*a + 170. Let y be p(7). Let v = y + 9. Calculate the remainder when 67 is divided by v.
13
Suppose 11*z = 233 + 119. Let x = 350 + -289. Calculate the remainder when x is divided by z.
29
Suppose 53 - 57 = -x. Suppose r = -x*s + 276, -s + 557 = 4*r - 472. Calculate the remainder when (9/(-4))/(760/r + -3) is divided by 26.
20
Let z = -83 + 93. Suppose -8*f + 900 = z*f. Calculate the remainder when f is divided by 13.
11
Let x(z) = -14*z - 8. Let t be x(-24). Suppose 822 + t = 23*n. Calculate the remainder when n is divided by 3.
2
Let c = 16 + 23. Suppose 0 = 347*h - 316*h + 31713. Let g = h + 1040. Calculate the remainder when c is divided by g.
5
Let i(b) = 3*b**2 - 6*b + 7. Let g be i(7). Let r = -106 + g. Let h(y) = -2*y**3 + 15*y**2 - 8. What is the remainder when h(r) is divided by 35?
