 b.
21
Let v(g) = g**3 - 5*g**2 + 7*g - 5. Suppose -19*t = -3*t - 80. What is the remainder when v(4) is divided by t?
2
Let d = -71 + 158. Suppose -h - 2*h = -d. What is the remainder when h is divided by 8?
5
Suppose -q + 276 = 2*q. What is the remainder when q is divided by (-3 - (5 + 30/4))*-2?
30
Let v = 1810 + -1778. What is the remainder when 600 is divided by v?
24
Suppose 0 = -71*q + 64*q + 3766. What is the remainder when q is divided by 49?
48
Let b = -139 + 231. Suppose -54 = -5*w - 3*j + 88, 3*j + b = 4*w. What is the remainder when 76 is divided by w?
24
Let m(i) be the first derivative of i**4/4 + 10*i**3/3 - 11*i**2/2 + 4*i + 11. Calculate the remainder when 23 is divided by m(-11).
3
Let f = 0 + -6. Let z be -8 - f - -4*1. What is the remainder when 16 is divided by 12/z*4/4?
4
Suppose 0*d + 5*d - 3998 = -2*u, 5*d = -u + 1989. Suppose 4*v = 11*v - u. What is the remainder when v is divided by 18?
17
Let y = 32 - 1. Suppose 0 = -t - 0*t + y. What is the remainder when t is divided by (-2)/4 - 70/(-4)?
14
Suppose -b + 0*b + 40 = -4*s, 124 = 4*b - 4*s. What is the remainder when 162 is divided by b?
22
Suppose 3*z = -3*v + 30, 5*v - 2*v = 3*z + 60. What is the remainder when 23 is divided by v?
8
Let w be ((-84)/24)/((-1)/2). Suppose -m - 3*x = -8, -4*m + 0*m + x = w. Let n(q) = -7*q**3 - 2*q**2 - q. What is the remainder when n(m) is divided by 4?
2
Suppose 3*i - 4*i - 18 = 0. Let a be 23/(-5) + i/(-30). What is the remainder when 132/15 - a/20 is divided by 4?
1
Suppose i = -i + 30. Suppose -12*l + 16*l - 12 = 0. What is the remainder when (-5)/(i/(-27)) + 1 is divided by l?
1
Let u(f) = f**3 + 11*f**2 + 9*f - 4. What is the remainder when 769 is divided by u(-9)?
76
Suppose -4*j + 2*b + 29 - 57 = 0, 2*j - 2*b + 18 = 0. Let y be (1/2)/(2/(-4)). Calculate the remainder when ((-174)/(-30))/(y/j) is divided by 11.
7
Suppose -2*z - 2*x = -4*z + 258, -2*x = 2*z - 266. Let w = z + -108. What is the remainder when 57 is divided by w?
11
Let m(w) = -w**2 - 12*w - 15. Let z be m(-11). Let p be (-20)/z*(11 + -1). Let a = p + -25. Calculate the remainder when 98 is divided by a.
23
Let c = -20 - 18. Let g be (-3 - (-28)/8)*c. What is the remainder when g/(-4)*(0 - -4) is divided by 11?
8
Let h = -67 + 115. Suppose y + h = 62. Calculate the remainder when 54 is divided by y.
12
Let l(n) be the first derivative of 11*n**4/2 - n**3/3 - n**2/2 + n + 9. Let q be (-3)/2*-2 - 2. Calculate the remainder when l(q) is divided by 11.
10
Let b(h) = -h**3 + 29*h**2 + 7*h + 55. Calculate the remainder when b(29) is divided by 26.
24
Let t = -34 - -72. Suppose t = -a + 93. Calculate the remainder when a is divided by 29.
26
Let r be 35/11 - (-4)/(-22). Suppose j = -r*j + 36. Suppose 0 = 3*a - j, -3*p - 5*a = -2*p - 53. Calculate the remainder when p is divided by 10.
8
Suppose -109*u = -128*u + 684. What is the remainder when 249 is divided by u?
33
Let c(s) = -71*s + 428. What is the remainder when c(6) is divided by (-1 + 2)/(3/3)?
0
Suppose -28 = -3*r + 23. Suppose 18*z - 315 = -17*z. Calculate the remainder when r is divided by z.
8
Let y be -2*5/(-10)*47. Suppose y = x - 34. What is the remainder when x is divided by 28?
25
Suppose -x + 4*u = -0*u - 170, -5*u + 10 = 0. Suppose x + 605 = 9*s. What is the remainder when s is divided by 22?
21
Let q = -51 - -63. Let v(h) = h - 7. Calculate the remainder when 13 is divided by v(q).
3
Suppose 0 = -19*t + 29 - 10. Let c(j) be the third derivative of j**6/24 - j**5/30 + j**4/12 - j**3/6 + j**2. What is the remainder when 5 is divided by c(t)?
1
Let w(h) = 3*h + 2*h - 4*h + 9. Let i(x) = -12*x + 53. What is the remainder when i(4) is divided by w(-7)?
1
Let j = 106 + -11. Suppose -j = -0*y - 5*y. Let i(l) = -l**2 + 4*l + 2. What is the remainder when y is divided by i(3)?
4
Let d(u) = u**3 + 5*u**2 + 3*u + 6. Let r be d(-4). Suppose r*x - 1464 = 4*x. Suppose -4*b + x = -8. What is the remainder when b is divided by 13?
11
Suppose -2*d + 5*d = -4*x + 96, -2*x = -2*d + 64. Calculate the remainder when 478 is divided by d.
30
Suppose 4*w - 50 = -2*j, 0 = 5*j - 2*w - 30 - 59. Suppose 8*x - 25 = 7. Let u = j - x. Calculate the remainder when u is divided by 9.
6
Let c = 46 + 13. Let z = c - 25. Calculate the remainder when 133 is divided by z.
31
Suppose 5*k - 3*x = -0*x + 5, 2*k = 4*x - 12. Let i be (-22)/77 - 177/(-7). Suppose 4*w - i + 5 = 0. Calculate the remainder when w is divided by k.
1
Suppose -7*l + 542 = 157. Calculate the remainder when l is divided by 36.
19
Suppose 0 = 34*z - 86 - 934. What is the remainder when 110 is divided by z?
20
Let w(q) = q**2 + 32*q + 165. Suppose 0*m + 93 = 2*m + 3*c, -m - 2*c + 48 = 0. What is the remainder when m is divided by w(-26)?
6
Let z = -762 + 770. Let q = 40 + -18. Calculate the remainder when q is divided by z.
6
Suppose -16*x - 85 = -11*x. Let n(i) = -3*i - 38. What is the remainder when 115 is divided by n(x)?
11
Let v(g) = 3*g - 6*g**2 + 5*g + 5*g**2 - 3*g + 3. Let y be v(5). Suppose -4*j + 75 = -j + y*u, -4*u = j - 10. Calculate the remainder when j is divided by 11.
8
Let l(f) = f**2 - 10*f. Let r be l(6). Let w be 3/((-3)/r*6). Suppose -5*m + w*m = -50. What is the remainder when m is divided by 17?
16
Let p(z) = -z**3 + 3*z + 2. Let y be p(-2). Suppose l = y*l - 111. What is the remainder when l is divided by ((-513)/(-54))/(-1*(-2)/4)?
18
Let v = 175 + -157. Calculate the remainder when ((-212)/6)/(2 - 48/v) is divided by 5.
3
Suppose -6*n = -5*n - 21. What is the remainder when 35 is divided by n?
14
Let p be 4 - 2 - (-4 + 2). Suppose 3*f + 2*g = 12, 2 = -3*f - 2*f + p*g. What is the remainder when 9 is divided by f?
1
Suppose j = 2*l - 112, 4*l - 82 - 114 = -5*j. Suppose z = -z + l. Calculate the remainder when z is divided by -6 + (-596)/(-30) - (-4)/30.
13
Suppose -1098 + 202 = -28*y. Calculate the remainder when 128 is divided by y.
0
Let q(m) = -11*m**2 + 6 + 188*m + m**3 - 196*m + 2 - 1. What is the remainder when q(12) is divided by 15?
10
Let q(g) = -12*g**2 - 8*g - 3. Let p(h) = -23*h**2 - 17*h - 7. Let r(k) = 6*p(k) - 13*q(k). What is the remainder when r(2) is divided by 38?
35
Suppose -3*c - 10 = u, 4*u = -c - 3 + 7. Suppose u*b - 6 = -b. Suppose -b*t - 10 = -4*l, 2*l + 0*t = -t + 15. Calculate the remainder when 9 is divided by l.
4
Let v(a) = -a**2 - 33*a - 105. Calculate the remainder when 103 is divided by v(-28).
33
Let f(c) be the first derivative of -c**4/2 - 4*c**3/3 - 2*c**2 + c + 14. What is the remainder when 35 is divided by f(-2)?
8
Suppose -180 = -4*g - 2*j + 628, -5*g - j = -1004. What is the remainder when g is divided by 36?
20
Let r = -41 + 68. Calculate the remainder when (-3)/(-7) + -10 + 1752/28 is divided by r.
26
Suppose 3*n + 160 = 61. Let t = -33 - n. Suppose -14 = -t*l - 2*l. Calculate the remainder when 13 is divided by l.
6
Suppose 554 = 29*l - 432. Calculate the remainder when 164 is divided by l.
28
Let o(g) = -6*g - 1 + 2*g - 6 + 4*g**2 + g**2. What is the remainder when o(-4) is divided by 18?
17
Suppose n = -2*v + 21, -5*v - 4 = -5*n + 71. What is the remainder when n is divided by 8/28 + (-1 - 305/(-35))?
1
Let m be (2 + -1)*(-9 + -2). Let l = 1 - m. What is the remainder when l is divided by 3?
0
Let f(w) = -3*w - 13. What is the remainder when (2 + 1)*31/3 is divided by f(-7)?
7
Let m = -33 - -75. Suppose 5*u - 70 = 2*l, m = 3*u - 2*l + 4. Calculate the remainder when 141 is divided by u.
13
Suppose 4*v = -3*k + 283, -9*k + 6*k - v + 271 = 0. Suppose -3*b - 288 = -5*r, 4*r + b - k - 138 = 0. What is the remainder when r is divided by 30?
27
Calculate the remainder when 357/21 + 2/(-1 + 0) is divided by 4.
3
Let m(r) = -3*r**2 + 3*r + 51. Let o(q) = -4*q**2 + 4*q + 77. Let i(u) = -7*m(u) + 5*o(u). Calculate the remainder when (-3 - 11*-8) + -2 is divided by i(0).
27
Let t(b) = -5*b**3 + b**2 + 3*b + 10. Calculate the remainder when t(-3) is divided by 40.
25
Suppose -2*r + 40 = 3*r. Calculate the remainder when -8 + 30 - (0 + 0) is divided by r.
6
Suppose 2*a - 3*m = -0*m + 99, 5*m - 165 = -4*a. Let s(f) = f**3 + 6*f**2 - 3*f - 2. What is the remainder when a is divided by s(-6)?
13
Suppose -216*f + 418*f = 212*f - 160. Suppose 5*p = i - 30, 2 = -p - 2. What is the remainder when f is divided by i?
