r when m(9) is divided by 5?
1
Suppose -74 = -5*c + b + 47, -4*b = 4. What is the remainder when (-3)/(-4) + 2*375/c is divided by 9?
5
Calculate the remainder when 67 is divided by (-26)/130 - (-512)/10.
16
Let f(j) = 2*j**2 + 20*j - 24. Let h(p) = 4*p + 20. Let k be h(-9). What is the remainder when f(k) is divided by 43?
39
Let s(o) = -o**3 + 5*o**2 + 8*o + 4. Let z be s(6). Suppose -5*v + 4*c + z = -4*v, -4*c = 4*v - 44. What is the remainder when v is divided by 8?
4
Let n = 178 + -124. Suppose -86 = -4*b + n. What is the remainder when b is divided by 6?
5
Suppose 271 = -4*w - 81. Suppose 2*m - 29 + 151 = 0. Let r = m - w. What is the remainder when r is divided by 7?
6
Let z = -20 - -20. Suppose -5*c + c = -a + 64, z = 3*c + 9. Calculate the remainder when a is divided by 18.
16
Let l be 2 - -37 - (-1 + 5). Let b = l + -3. Calculate the remainder when 159 is divided by b.
31
Let l be 1*(2 + 16/(-12))*-18. Calculate the remainder when l/4 - 420/(-4) is divided by 13.
11
Let z(n) = -n - 4*n**2 + 5*n**2 + 6*n**2 - n**2. Suppose -2*d = 0, 2*r + 5*d = -2*r - 4. Calculate the remainder when z(r) is divided by 3.
1
Let k(z) = -2*z + 3. Let r(a) = -1. Let j(n) = -k(n) + 3*r(n). Let p be j(8). What is the remainder when 25/1*6/p is divided by 8?
7
Let y = 736 + -618. Calculate the remainder when y is divided by 41.
36
Suppose 0 = j - 15 - 5. Suppose -2*o = -7*o + j. Suppose 53 = 2*y - 5*u, y - 5*y - 3*u = -67. Calculate the remainder when y is divided by o.
3
Let y(q) = 2*q**3 - 9*q**2 + 13*q - 10. Let h be y(5). Suppose x + h = 2*v, -4*v + 132 = 2*x + 3*x. What is the remainder when 151 is divided by v?
37
Suppose 4*c - 27 - 37 = 0. Let a(o) = -o**2 - 18*o + 28. Let u be a(-20). Let y = u + c. Calculate the remainder when y is divided by 2.
0
Let y = -1298 + 1935. Calculate the remainder when y is divided by 11.
10
Let o = 90 - 45. What is the remainder when 89 is divided by o?
44
Let w = 95 - 93. Suppose -3*p - 4*q + 253 = 0, -p = -0*p - w*q - 71. Calculate the remainder when p is divided by 20.
19
Let b(f) = 10*f**2 + f - 2. Let w be b(-2). Let v be w/(-6) + 0 + -1. Let y = v + 22. Calculate the remainder when 44 is divided by y.
14
Let l(r) = 4*r + 127. Let v(k) = 5*k**3 + 2*k**2 - 1. What is the remainder when l(-26) is divided by v(1)?
5
Let h(x) = x**2 + 2*x - 6. Let b be h(5). Let n = b - 13. What is the remainder when (47/2)/((-21)/(-42)) is divided by n?
15
Let w = 431 - 355. What is the remainder when w is divided by 39?
37
Let m be -2 - -2 - 3 - 3. Calculate the remainder when 1 + 2/m*-69 is divided by 9.
6
Suppose -799 = 419*p - 436*p. What is the remainder when p is divided by 35?
12
Let j(p) = -10*p - 5. Let o(n) = 11*n + 6. Let m(v) = 5*j(v) + 4*o(v). Calculate the remainder when m(-4) is divided by 6.
5
Let y(r) = r + 12. Let m(w) = w**2 - 5*w + 10. Let i be m(4). What is the remainder when 33 is divided by y(i)?
15
Let w = 1039 + -595. What is the remainder when (w/(-18))/(4/(-6)) is divided by 8?
5
Let y(b) = 2*b - 6. Suppose 30 = 4*o - 18. Let i be y(o). Calculate the remainder when 37 is divided by 196/24 + (-3)/i.
5
Let m(o) = 2*o - 24. Let x be m(11). Calculate the remainder when -5 + 161 + (-3)/x*2 is divided by 41.
36
Suppose -o = -5*o + 4. Let l = 25 - o. Calculate the remainder when 95 is divided by l.
23
Let q = 36 + -11. Suppose 5*k - q = 5. What is the remainder when 9 is divided by k?
3
Suppose 0 = -5*k + a + 246, 5*k = 4*a - 5*a + 254. Calculate the remainder when 45 is divided by (8/k)/((-2)/(-40))*5.
13
Let w(d) = d**2 + 23*d + 34. Let y(r) = 2*r**2 + 45*r + 68. Let n(l) = -7*w(l) + 3*y(l). Calculate the remainder when n(-23) is divided by 6.
5
Suppose 0 = -3*v + 4*n + 1 + 1, 0 = 2*v - 3*n - 1. Suppose u - 3 = -5*c, v*c - c - u = 3. Calculate the remainder when (-19)/(-7) - 16/(-56) is divided by c.
0
Let b be ((-30)/24)/((-1)/4). Suppose 20 = 5*t + b. Suppose 6*o + 140 = 4*u + t*o, 0 = -3*u - 2*o + 105. What is the remainder when u is divided by 9?
8
Let q = -3340 - -3400. Let z be ((-4)/6 + 0)*-48. Suppose -t + z = t. What is the remainder when q is divided by t?
12
Let u = 123 + -121. Suppose -2*z + 31 = -x, -z + u*x + 8 = -12. Calculate the remainder when 37 is divided by z.
9
Let h(q) = 2*q + 10. Let p = 7 - -14. Suppose -5*w + 15 = 2*o, 4*w = -5*o + p + 8. Calculate the remainder when h(o) is divided by 8.
4
Let m(w) = -2*w + 25. Let y be m(5). Suppose 4*f + 5*n - 81 = 70, 0 = -5*n + y. Calculate the remainder when 99 is divided by f.
31
Let a = 145 + 11. Calculate the remainder when a is divided by 53.
50
Suppose 0 = c + 56*o - 61*o - 176, 0 = 2*c - 5*o - 332. Calculate the remainder when c is divided by 42.
30
Suppose 5*h + 4 = 3*h + 4*q, 2*h - q = 5. Let v(t) = -10*t - 15 + 0*t + 8*t - h. Calculate the remainder when v(-14) is divided by 5.
4
Let n(t) = t**3 - 8*t**2 - 12*t + 4. Let l be n(9). Let k = 33 + l. Let a = 47 + -20. What is the remainder when a is divided by k?
7
Let c(x) = -4*x**3 + 3*x**2 - 2. Let g(d) = 33*d - 945. What is the remainder when c(-2) is divided by g(29)?
6
Let w = 76 + -53. Suppose -l + 5*g + 123 = 0, -48 = 3*l + 4*g - 379. What is the remainder when l is divided by w?
21
Let b = 0 + 3. Suppose 5*d + 5*j = b*j + 15, 5*d - 35 = 2*j. Let u(s) = 13*s - 79. What is the remainder when u(7) is divided by d?
2
Let o be -2 - -13*3/3. Suppose -5*a = 3*k + o, -4*k + 0*a = -4*a - 28. Suppose -k*u - u = -64. What is the remainder when 31 is divided by u?
15
Let f = 55 - 13. Let i = f - 26. Suppose -11*d - 120 = -i*d. Calculate the remainder when 71 is divided by d.
23
Let d(c) = -5*c**3 - 19*c**2 - 5*c - 8. What is the remainder when 169 is divided by d(-5)?
2
Suppose -2*f = -5*s - f + 24, -2*f + 32 = 6*s. Let p = 13 + -9. Suppose 49 = p*n - s*k, -n + 4*k + 14 = k. Calculate the remainder when 20 is divided by n.
9
Let f = 1978 + -1879. Calculate the remainder when f is divided by (2 + (-46)/6)*-6.
31
Suppose 5*b = -2*f + 2, 3*f - 27 = 2*f + 4*b. Calculate the remainder when 26 is divided by f.
4
Let q be 2*-3*(-20)/8. Suppose 3*u - 5*p = 166, 0*p + q = -3*p. What is the remainder when u is divided by 6?
5
Let u = 109 - -310. Calculate the remainder when u is divided by 15.
14
What is the remainder when 1141/(-63)*3*(-7 - -4) is divided by 29?
18
Suppose 0*l + 3 = l. Let b be -2*(-1 - -3 - l). Suppose 0 = 5*g, -g + 24 = b*y + 2*g. What is the remainder when y is divided by 7?
5
Suppose 2*n = -v + 1, 3*v = n - v - 5. Let r = n - -1. Calculate the remainder when 46 is divided by 18/(21/6 - r).
10
Suppose 22*v = 18*v + 396. Let p = 4 + v. What is the remainder when p is divided by (22 - -3) + 1 - 0?
25
Suppose -5*j - 4*w + 153 = -7*w, -34 = -j + 4*w. Suppose -25*p - 785 = -j*p. Calculate the remainder when p is divided by 40.
37
Let k(q) be the second derivative of q**4/6 + 5*q**3/6 - 2*q**2 - 4*q - 3. What is the remainder when 67 is divided by k(2)?
11
Let o(f) be the third derivative of 5/6*f**3 + 4*f**2 + 0 + 0*f**4 + 1/60*f**5 + 0*f. What is the remainder when o(-4) is divided by 11?
10
Suppose 7*f + t = 10*f - 72, 3*f - 4*t = 63. What is the remainder when 103 is divided by f?
3
Suppose 0 = -2*j + g + g - 10, -4*j = -2*g + 16. Calculate the remainder when (j/36*-69)/(2/16) is divided by 26.
20
Let k = 83 - 77. Let i(q) = 2*q**3 - 11*q**2 + 2*q + 9. What is the remainder when i(k) is divided by 20?
17
Let w(p) = 3*p**3 + 4*p**2 - p - 1. What is the remainder when 562 is divided by w(3)?
110
Let c = 671 + -625. What is the remainder when 505 is divided by c?
45
Let j = -22 + 40. Suppose 5*b = 5*s - 5, 2*b - s - 2 - 1 = 0. Suppose -b*n - 5*m = -157, 0 = -n - 4*m - 6 + 59. What is the remainder when n is divided by j?
15
Suppose -5*d = -r - 171, -3*d + 5*r + 141 = d. Calculate the remainder when d is divided by 13.
8
Suppose -5*i + 5 = 4*u, 0 = -4*i + i + 2*u + 25. Suppose 297 = i*l - 2*l. Calculate the remainder when l is divided by 25.
24
Let m = 10 + 5. Suppose 2*b - 21 + 7 = 0. Calculate the remainder when m is divided by -5 + b - (0 - 2).
3
Let f = 18 + -12. What is the remainder when 36 is divided by (-168)/(-9) - f/(-18)?
17
Calculate the remainder when 8 is divided by (-82)/(-20) + (-91)/910.
0
Suppose 0*h + h + 12 = 0. Let t be h/(-48) + (-39)/(-4). Suppose j = -j + t. Calcu