 when d is divided by 8.
4
Suppose -5*v - 283 = -y - 340, -4*v = 5*y - 5. Calculate the remainder when 2/(-1 - 1) + 20 is divided by v.
9
Let v be -5 + 4/(-4) + 2. Suppose -3*a - 2*k = k - 15, -5*a + k + 49 = 0. Calculate the remainder when a is divided by 6 - (v + 6 - 0).
1
Let f be (-3)/5 - (-246)/(-15). Let v = 8 + f. What is the remainder when (19/(-4))/(v/72) is divided by 10?
8
Suppose 0 = -4*m + 3*j + 41, 7 = m - 3*j - 1. Calculate the remainder when m is divided by 8.
3
Let q be (-217 + -1)*(52/(-8))/13. Suppose 211 = 5*p - q. Calculate the remainder when p is divided by 22.
20
What is the remainder when 194 is divided by 20/15*114/4 - 3?
19
What is the remainder when 2/(-21) + 91/147*257 is divided by 75?
9
Suppose -3*s + 3 = 0, -3*m - 2*s = -6*m - 17. Let v(n) = n**2 + n + 10. Let f(i) = 5*i**2 + i - 1. What is the remainder when f(-5) is divided by v(m)?
29
Let l(z) = 13*z - 1. Suppose s + 8 = 2*s. Suppose 5*k = -2*f + 41 + s, -k + 15 = 3*f. Calculate the remainder when l(2) is divided by k.
7
Let r(t) = t**2 + 47*t + 570. Suppose 0 = y - 4*y + 201. What is the remainder when y is divided by r(-23)?
13
Suppose -a = 3*a - 20. Let q be 3/(-12)*-4*a. Suppose -2*v = -6*i + i + 172, -q*v + 97 = 3*i. Calculate the remainder when i is divided by 9.
7
Let g = 320 + -301. Calculate the remainder when 34 is divided by g.
15
Suppose -18 = 36*o - 39*o - 3*v, 0 = -4*o + 4*v + 56. What is the remainder when 49 is divided by o?
9
Suppose 0 = -5*r + 4*b + 149, 4 = 4*r + 3*b - 140. What is the remainder when 160 is divided by r?
28
Let t be 4 + ((-24)/4 - -83). Suppose 12*i = 15*i - t. What is the remainder when i is divided by ((-14)/8)/((-2)/8)?
6
Let n(q) be the first derivative of -q**2/2 + 17*q - 6. Calculate the remainder when 37 is divided by n(4).
11
Let c = -26 - -11. Let a = c - -28. Calculate the remainder when a is divided by (-2)/2 - (-2)/((-6)/(-27)).
5
Let x be (-26)/(1 + (-12)/8). Suppose -7*z + x = -5*z. What is the remainder when z is divided by 192/14 + 2/7?
12
Let r be (5/10)/((-1)/(-34)). Suppose 0 = -5*l + r + 13. Suppose 39 = 2*m + 17. What is the remainder when m is divided by l?
5
Let s be 34/10 + 6/(-15). Suppose q + 97 = y + s*q, 3*y - q = 263. Suppose -5*x + 111 + y = 0. Calculate the remainder when x is divided by 21.
19
Suppose 0 = 3*r - 8*r - 5*q + 165, 5*r - 169 = -q. Calculate the remainder when 90 is divided by r.
22
Suppose -5*a - s - 1 - 9 = 0, -2*s + 8 = -4*a. Let k = 10 + a. What is the remainder when 4/14 + (-5628)/(-196) is divided by k?
5
Suppose -2*f = -o - 4*f + 67, -5*o + 335 = -f. Calculate the remainder when o is divided by 14.
11
What is the remainder when (3 - 329/105)*245*-3 is divided by 9?
8
Let s(p) = -10*p + 13. Calculate the remainder when 52 is divided by s(0).
0
Suppose -o + 2*v = 7*v - 77, -2*v = -3*o + 163. Suppose 15 = 2*g - o. What is the remainder when 70 is divided by g?
34
Suppose -5*x = -686 + 81. Let h(m) = -4*m + 1. Calculate the remainder when x is divided by h(-6).
21
Let v = -453 + 634. Let l = v - 86. Suppose -3*o - 81 = -4*q, -4*q + l = 5*o + 6. What is the remainder when 62 is divided by q?
20
Let w(g) = -2*g**3 - g**2 + 2*g + 3. Let d(h) = 2*h**3 - 2*h**2 - 2*h - 10. Let b be d(-3). Let r = -35 - b. What is the remainder when r is divided by w(-2)?
8
Let n be 0 - (-10 + (1 - -1)). What is the remainder when 30 is divided by (-2)/((n/(-17))/4)?
13
Let o = 1451 - 1403. Calculate the remainder when 958 is divided by o.
46
Let h(x) = -x**2 - 38*x - 271. Calculate the remainder when h(-25) is divided by 17.
3
Calculate the remainder when 690/20*6/9 is divided by 7.
2
What is the remainder when (-8)/10*-1*390/4 is divided by 17?
10
Calculate the remainder when 135 + -2*1*(-24)/(-16) is divided by 15.
12
Suppose 128 - 416 = -6*i. What is the remainder when i is divided by 35?
13
Let l(u) = 2*u**2 - 48*u - 36. What is the remainder when l(25) is divided by 4?
2
Let l = 0 + 9. Suppose 4*q + 2*n - 168 = 0, -33*n = -2*q - 31*n + 84. Calculate the remainder when q is divided by l.
6
Let r = 22 + -14. What is the remainder when 68 is divided by (92/r)/(-1)*-2?
22
Let z be -1*(-5)/(10/(-6)). What is the remainder when 2 + (-105)/(-2 + z) is divided by 8?
7
Let z(g) = 2*g**3 + 18*g**2 + g + 7. Let i be z(-9). Let t(f) = -3*f**3 - 3*f**2 - 3*f - 2. What is the remainder when 56 is divided by t(i)?
8
Suppose -605*s + 156 = -593*s. Suppose -115 = -2*n - 3*n. What is the remainder when n is divided by s?
10
Let p(y) = 50*y**2 - y. Suppose 7*z - 13 = -20. Calculate the remainder when p(z) is divided by 27.
24
Suppose -2*w - 5*b + 116 = 0, -w + 6*w + 2*b = 290. What is the remainder when w is divided by (-13 - (-20 - -7)) + 12?
10
Suppose 5*f = 3*c - 16 - 19, -3 = -3*c - 3*f. Suppose 0 = -c*m - 2*p + 95, -4*m + 59 + 4 = -p. What is the remainder when m is divided by 3?
2
Let q(t) = -2*t**3 + 25*t**2 - 6*t + 57. What is the remainder when q(12) is divided by 36?
21
Let s(u) = u**2 - 5*u - 2*u**3 + u**3 - 18 + 8*u**2. Let q be s(8). Suppose 72 = q*j - 3*j. What is the remainder when 93 is divided by j?
21
Suppose 3*o - o = 3*m + 27, 4*o = -5*m - 1. Calculate the remainder when (-1)/7 + (-106)/(-7) is divided by o.
3
Suppose 8*c - 132 = -2*b + 10*c, -4*b - c = -279. What is the remainder when b is divided by 18?
15
Let d be (-138)/4 + (-21)/42. Let b = -30 - d. Let h = 17 - -2. What is the remainder when h is divided by b?
4
Let b(u) = 3*u**2 - 4. Let s be b(-3). Suppose -2*g = -3*d - 2, -7*g + 3*d = -2*g - s. Calculate the remainder when 41 is divided by g.
6
Suppose 137*y - 644 = 130*y. Calculate the remainder when y is divided by (1/(-1))/((-6)/114).
16
Suppose -8*h + 96 = -6*h. Suppose 0 = 4*d - 2*u - 46 - 54, -2*d + h = -2*u. Calculate the remainder when d is divided by 7.
5
Let q = 6 + 7. Calculate the remainder when 139 is divided by q.
9
Suppose -u + 1051 = r, 2*r - 5*u - 976 = 1126. What is the remainder when r is divided by 132?
127
Suppose -2*f + k + 4 = 0, 3*k = 6*k. Suppose 61 = 5*h + b, -4*h = f*b - 10 - 34. Calculate the remainder when 63 is divided by h.
11
Suppose -30 = -2*y - y. Let u(x) = -2*x**3 - 6*x + 3. Let b be u(2). What is the remainder when y is divided by 6*b/20*(-4)/5?
4
Suppose -a - 5 = -10. Suppose 2*b + 126 + 72 = a*n, -b = 2*n - 81. Suppose -2*g - 4 + n = 0. What is the remainder when 69 is divided by g?
15
Let o = 260 - 190. What is the remainder when o is divided by 15?
10
Suppose 34 = -18*d + 394. Calculate the remainder when d is divided by 3.
2
Suppose f = -5*j - 3249 + 284, 0 = j + f + 589. Let c be j/30 - (-2)/(-10). Let a = c - -64. What is the remainder when a is divided by 15?
14
Let u(n) = -n**3 - 5*n**2 + 15*n - 6. Let k be u(-8). Let f = k + -42. What is the remainder when f is divided by 5?
4
Suppose -24*y - 195 = -675. Calculate the remainder when 57 is divided by y.
17
Suppose 3*n - 2 = 1, 0 = d + n - 33. Let m(j) = 3*j + 16. Let s be m(-7). Calculate the remainder when d is divided by s - (128/2)/(-4).
10
Suppose -3*x + 61 = n, 2*x - 48 = -2*n - 14. Let u = -19 + x. What is the remainder when 3 is divided by u?
0
Let c be (-14)/1*((-8 - -4) + 2). Suppose -33*l = -c*l - 30. Calculate the remainder when l is divided by 4.
2
Let m = -79 + 75. Let j(c) = -16*c + 2. What is the remainder when j(-2) is divided by (-16)/m - (4 + -7)?
6
Let s = 36 + -32. Suppose g - 11 = a, -3*a = 4*g - 81 + 2. Let v = g + -11. Calculate the remainder when v is divided by s.
1
Let q(p) = -2*p + 11. Let i(m) = 2*m - 2. Let o be i(2). Let c = o + -9. What is the remainder when q(c) is divided by 13?
12
Suppose 4*q = 15 + 29. Let w be (-6 - -5)*(-4 - 1). Suppose l = 5*x - 102, 76 = 5*x - w*l - 34. Calculate the remainder when x is divided by q.
9
Let j be 4/6 - (-110)/15. Let z(k) = k**2 - 3*k - 8. What is the remainder when z(j) is divided by 1/((-99)/51 - -2)?
15
Suppose -3*v + v + 54 = 0. Calculate the remainder when 4466/(-87)*12/(-14) is divided by v.
17
Let v(a) = -a**3 - 7*a**2 - 8*a - 1. Let z = 57 + -50. Let i(k) = 5*k - 21. Calculate the remainder when v(-7) is divided by i(z).
13
Suppose 0 = 9*f - 8*f - 6. Let l = f - -5. Suppose 0 = -4*d + l + 1. What is the remainder when 3 is divided by d?
0
Let x(j) = j**3 - 8*j**2 - 6*j - 18. Let k be x(9). Suppose -3*t + 3 =