remainder when r is divided by 51.
45
Let d(f) be the first derivative of -f**3/3 + 7*f**2/2 + 3*f + 1. Suppose -2 = -2*k, 0*x + 2*k = -3*x + 17. What is the remainder when d(x) is divided by 7?
6
Suppose -4*c = -16 + 4. Let d = -3 - -1. Calculate the remainder when (-3 + 25)*d/(-4) is divided by c.
2
What is the remainder when 59 is divided by 7 + 128/(-20) - (-285)/25?
11
Let d(k) = 2*k**2 - k - 4. Let g be d(5). Let x = g - 18. Suppose 453 = 6*t + 45. What is the remainder when t is divided by x?
22
Suppose 0*z = 4*z + 392. Let x = -62 - -33. Let u = x - z. What is the remainder when u is divided by 24?
21
Let f(q) = q**3 + 9*q**2 + 9*q + 8. Let n be f(-6). Suppose -3 - n = -5*b. Calculate the remainder when b is divided by 3.
1
Let x(o) = -2*o + 98. Calculate the remainder when x(30) is divided by 14.
10
Let i(v) = -v**3 - 12*v**2 - 19*v + 23. Calculate the remainder when i(-12) is divided by 85.
81
Suppose 0 = 4*m - 5*c - 207, -4*m + 53*c = 54*c - 237. What is the remainder when m is divided by 4?
2
Suppose -5*p + 2 = -6*p. What is the remainder when p/4*(3 + -1) - -11 is divided by 1?
0
Suppose 5*s - 172 = 88. Let t(x) = -x**3 + 4*x**2 + 7*x - 1. Let o be t(5). Suppose c - 5 = o. What is the remainder when s is divided by c?
10
Calculate the remainder when 129 is divided by ((-8)/16)/(2/(-272)).
61
Let l(v) = 19*v - 502. What is the remainder when l(71) is divided by 16?
15
Let u = 12 + -6. Suppose -78 = -4*y - o, y - 5*o = u*y - 90. What is the remainder when y is divided by 12?
8
Let a = 2202 + -2198. Let y = 4 + -2. Calculate the remainder when a is divided by y.
0
Let d = -60 + 43. Let j = d - -10. Let b(l) = -l**3 - 6*l**2 + 8*l + 14. What is the remainder when 27 is divided by b(j)?
6
Let d be (-2)/4*780/(-10). Suppose -54 = -3*b + d. What is the remainder when b is divided by 8?
7
Let k(s) = -s**3 + 12*s**2 - 4*s - 10. What is the remainder when k(11) is divided by 34?
33
Let j(r) = r**3 + 16*r**2 + 14*r - 5. What is the remainder when 38 is divided by j(-15)?
8
Suppose 8*x = 6*x + 1528. Calculate the remainder when x is divided by 191.
0
Suppose -13*n = -4*n. Let i(x) = -x**2 + 2*x + 22. What is the remainder when 63 + 2/(-1 - 1) is divided by i(n)?
18
Suppose 3*x - 94 - 17 = 0. Suppose -2*s + 30 = 5*w - x, -5*s = 20. Suppose 3*q - 4 - 8 = 0. What is the remainder when w is divided by q?
3
Let c(o) = -38*o. Let r be c(-1). Suppose -m + i + 7 + 5 = 0, -2*m - 5*i = -r. Calculate the remainder when m is divided by 6.
2
Suppose 0 = -3*k - 8*c + 4*c + 253, k + 2*c = 81. Calculate the remainder when 536 is divided by k.
81
Let g be (-6)/(-14) - (-100)/(-70). Let d be 2/g + 15/3. Suppose -5*v + d*v + 14 = 0. Calculate the remainder when 26 is divided by v.
5
Let j(s) = s**2 + s + 16. Let v = -20 - -161. Suppose -v = -2*n - n. Calculate the remainder when n is divided by j(0).
15
Let v = -1315 - -1368. Calculate the remainder when 113 is divided by v.
7
Suppose r = -12 + 14. Suppose 10 + 8 = r*b. Suppose 4*l - 5*s - 135 = 0, 2*s = -5*l - s + 178. What is the remainder when l is divided by b?
8
Let n = -99 - -109. What is the remainder when (-276)/(-15) - ((-24)/n)/(-6) is divided by 33/9*6/2?
7
Let x(d) be the third derivative of d**6/120 + 2*d**5/15 + d**4/3 + d**3/2 + 28*d**2. Suppose -7 = 3*r + 8. Calculate the remainder when x(r) is divided by 13.
12
Let b = -4 - -10. Suppose -4*t + 96 + 88 = 0. Suppose 2*s - 2*p - t = 0, 0*p + 102 = 4*s - 2*p. What is the remainder when s is divided by b?
4
Let q be (-2)/(-15) + 140/75. Suppose 2*r - 20 = -5*b, -2*b + 6*b = q*r - 2. Suppose b*o = -3*o + 95. What is the remainder when o is divided by 10?
9
Calculate the remainder when (2 - 1)/(1/19) is divided by (-58 + 57)/((1/(-10))/1).
9
What is the remainder when 159 is divided by (-1)/((-22)/(-96) + (-8)/32)?
15
Let b = -17 + 20. Let s be (3 - 8) + b + 0. Calculate the remainder when 12 is divided by s/(-3)*(-42)/(-4).
5
Suppose -8*m + 11 = 11. Let s(c) = -2*c + 22. Calculate the remainder when s(m) is divided by 9.
4
Let g = 53 - 30. Let p = g - 6. What is the remainder when (-93)/(-2)*2/3 is divided by p?
14
Suppose -4*h = 28 - 184. Let k = h - 3. Calculate the remainder when k is divided by 19.
17
Suppose 2*c - 30 = 50. Let h(l) = 29*l**2 + 2*l + 7. Calculate the remainder when h(-2) is divided by c.
39
Suppose 15*y = 17*y + 2. Calculate the remainder when 50 is divided by 12 + (0 - -2) + y.
11
Let d be (-18)/81 - (-580)/18. Suppose d = 5*k - 3*k. Suppose -4*t = -4*b + 108, -6*t + 3*t + 99 = 3*b. What is the remainder when b is divided by k?
14
Let d = 75 - 50. Let c = 34 - d. Calculate the remainder when 32 is divided by c.
5
Let u = 70 - 44. Suppose 0 = -5*p - 4*i + 72, 6*p - 3*p - 52 = 2*i. Let l = u - p. What is the remainder when 18 is divided by l?
8
Let q = 21 - 12. Suppose 5*u = -0*u + 10. Suppose -161 = -5*f - 2*k, 0 = -6*k + u*k - 8. Calculate the remainder when f is divided by q.
6
Let t = 45 + -20. What is the remainder when 10 - (3 - -10) - -99 is divided by t?
21
Let p = 61 - 56. Suppose -5*i - p*y = -905, 3*y = -4*i + 2*y + 721. Calculate the remainder when i is divided by 61.
58
Let y be (27/(-45) - -1) + 28/5. What is the remainder when 11 is divided by (5 - (-6)/8) + y/(-8)?
1
Let m(q) = q**3 + 13*q**2 - 2*q - 14. Let i be m(-13). Suppose 0 = -4*p - 32 - i. Let r = -10 - p. Calculate the remainder when 1 is divided by r.
0
Let l(x) = 3*x**3 - x**2 - x + 1. Let b be l(1). Calculate the remainder when b/7 - 3664/(-112) is divided by 10/2*36/10.
15
Let v = -91 + 119. Let k = 29 - 14. Let n = k + -5. What is the remainder when v is divided by n?
8
Suppose 2*m = -1 + 5. Suppose m*h + 8 = -12. Let i(o) = -2*o - 7. What is the remainder when i(h) is divided by 7?
6
Let u = 7 + 3. Suppose c - 10 = -2*y, 3*c = 2*c + 2*y + u. Suppose 3*i - 73 = 8. What is the remainder when i is divided by c?
7
Calculate the remainder when 75 is divided by ((-14)/(-6))/7 + 89/3.
15
Suppose -2*z + 21 = 7. Let u(v) = 2*v**2 - 10*v - 8. Calculate the remainder when 57 is divided by u(z).
17
Let a = -431 + 439. Calculate the remainder when 199 is divided by a.
7
Let d = 792 + -688. Calculate the remainder when 305 is divided by d.
97
Let n(f) = 2*f**2 - 2*f. Let v be n(2). Suppose -v*x = 5*r - 251, 0*x - 4*x - 78 = -2*r. Calculate the remainder when 139 is divided by r.
45
Let d = 75 - 46. Suppose -3*g - 3 = -0. What is the remainder when g/(-3 - 510/(-171)) is divided by d?
28
Let f(b) = -b**3 - 8*b**2 - 5*b - 7. What is the remainder when f(-8) is divided by (2/6)/((-1)/(-36))?
9
Calculate the remainder when -10*(-13 - 15 - 6) is divided by 82.
12
Suppose 26*q - 2508 = -40*q. Calculate the remainder when q is divided by 9 - 2/2 - -2.
8
Let j = 1913 - 1853. What is the remainder when 207 is divided by j?
27
Suppose -7*m + 2*m = -25. Suppose -12 + 0 = -4*w. Suppose 2*l + 14 = 4, l + 56 = w*v. What is the remainder when v is divided by m?
2
Let h(m) = 2*m - 32. Let y(g) = g - 16. Let v(w) = -6*h(w) + 11*y(w). Suppose s + 6 - 27 = 0. What is the remainder when s is divided by v(8)?
5
Suppose -3*t = 51*t - 1134. What is the remainder when 81 is divided by t?
18
Let c(r) = -2*r**2 - 20*r + 11. Calculate the remainder when 42 is divided by c(-10).
9
Suppose -5*d + 2236 = -4*j - 3459, 4*j = 3*d - 3417. Calculate the remainder when d is divided by 76.
75
Suppose 3*f = 5*f - o + 5, f + 2*o - 10 = 0. Suppose -2*k - 2 = -4*s + 36, -4*s + k + 35 = f. What is the remainder when s/16 - (-9)/2 is divided by 2?
1
Let p(o) = 5*o - 2. Let l = 3 - 0. Suppose -7 = v - 2*v. Calculate the remainder when p(l) is divided by v.
6
Let f(j) = -59*j**2 - j - 2. Let v be f(-1). Calculate the remainder when 34 is divided by v/(-5)*1 - 3.
7
Suppose -90*v + 23609 + 24631 = 0. What is the remainder when v is divided by 15?
11
Suppose -3*v = -5*r + 14, 2*v + v = 4*r - 13. Suppose 0 = -p - r, -2*t + 25 = 5*p. What is the remainder when 147 is divided by t?
12
Suppose 0*i + 5*t = -3*i + 544, -4*i = -3*t - 764. What is the remainder when i is divided by 8?
4
Suppose -k = -2, -k + 28 = a - 67. Suppose 2*x + 4*d - 86 = 0, -66 = 5*x - d - 226. Calculate the remainder when a is divided by x.
27
Let d(h) = 34 - 2*h + 0*h + 3*h - 2*h. What is the remainder when 84 is divided by d(12)?
18
Let