3563 + -3507. What is the remainder when 9965 is divided by z?
53
Suppose 0 = 66*n - 3990 - 1686. What is the remainder when 1287 is divided by n?
83
Let f = 3836 + -3828. Calculate the remainder when 161 is divided by f.
1
Suppose 15*t - 17*t = -3*t + 136. What is the remainder when 569 is divided by t?
25
Let a(i) be the third derivative of 3/2*i**3 - 1/30*i**5 - 1/24*i**4 - 1/120*i**6 + 0 + 12*i**2 + 0*i. What is the remainder when a(-5) is divided by 30?
29
Let j(f) = -f**3 + 15*f**2 - 9*f - 18. Let h be j(14). Suppose h*u - 30 = 57*u. Calculate the remainder when 37 is divided by (-10)/(-25)*u*-10.
13
Let c = -4372 + 4387. What is the remainder when 640 is divided by c?
10
Let t(u) = -3*u**2 + 30*u + 5. Let q be t(10). Suppose -4*h + 28 = 3*f, -15*h + 20*h - 50 = -q*f. What is the remainder when 45 is divided by f?
9
Let z(d) = 225*d**3 - 4*d**2 + 26*d - 42. Calculate the remainder when z(2) is divided by 5.
4
Let v = 230 - -34. Suppose 786*l = 792*l - v. What is the remainder when 131 is divided by l?
43
Let a = 695 - 1109. Let f = 429 + a. What is the remainder when 72 is divided by f?
12
Let l(r) be the third derivative of r**5/30 - r**4/24 - 2*r**3 - 14*r**2. What is the remainder when l(-4) is divided by 22?
2
Let i(k) = -300*k - 13211. What is the remainder when i(-45) is divided by 132?
25
Let a = -2398 + 2448. Calculate the remainder when a is divided by 3/((4 + -1)/9).
5
Let j be ((-91)/(-1))/((5/5)/6). Suppose 4*p = 18*p - j. Calculate the remainder when 146 is divided by p.
29
Let d = 2 + 2. Suppose 3*c + 137 = d*h, -6*c - 66 = -2*h - 4*c. Calculate the remainder when h is divided by (-134)/(-10) + 4/(-10).
12
Suppose 0 = 4*v - c - 99, -4*v = 25*c - 22*c - 87. Let a = 7 + 7. What is the remainder when v is divided by a?
10
Suppose 5*q - 285 = 4*j, 0 = -q + 4*j - 18 + 59. Let b = 112 + -90. What is the remainder when q is divided by b?
17
Let t(r) = 2*r**2 + 26*r - 265. Calculate the remainder when 7808 is divided by t(8).
69
Suppose 5*y + 11*q = 13*q + 613, 5*y = -2*q + 597. Calculate the remainder when y is divided by 97/3 + 2/3.
22
Let y(t) = t**3 + 5*t**2 + 16*t - 74. Calculate the remainder when 844 is divided by y(6).
8
Suppose 17*w + 178 = -26. Suppose 1 + 62 = 3*y. Calculate the remainder when (-976)/(-12) + (-8)/w is divided by y.
19
Suppose -4*f - f = w - 49, 2*f - 16 = -4*w. Suppose 62 - 192 = -f*o. Suppose -5*m + 445 = -0*m. What is the remainder when m is divided by o?
11
Suppose -3735 = -13*o - 2747. Calculate the remainder when 211 is divided by o.
59
Calculate the remainder when 8 + 4/(-5)*6640/(-32) is divided by 11.
9
Suppose -2*w - 2083 = -17*w + 437. Calculate the remainder when 453 is divided by w.
117
Let p = 1406 - -443. What is the remainder when p is divided by 39?
16
Suppose -250*t - 10632 = -680132. Calculate the remainder when t is divided by 40.
38
Suppose 0 = -2*p - 4*a + 428, -p + 5*a = -227 - 8. What is the remainder when p is divided by 13?
12
Let s(q) = 7*q**2 - 3*q**2 + 0*q**2 - 14*q + q**3 - 8. Let a be s(-6). Suppose 34 = a*b - 3*b. Calculate the remainder when b is divided by 8.
2
Let h be -2*-3*5/30*6. Suppose -h*f - 56 = -140. Calculate the remainder when f is divided by 6.
2
Suppose 0 = 5*m - 330 - 315. Let k = -106 + m. What is the remainder when 205 is divided by k?
21
Suppose -4*i - 5*l + 7 = -40, l = 3*i - 40. Let d = -31435 + 31575. Calculate the remainder when d is divided by i.
10
Let r(y) = y**3 + 11*y**2 - 2*y - 108. What is the remainder when 3056 is divided by r(-7)?
98
Let s = -42 + 4. Let x = s + 71. What is the remainder when (6/8)/(5/860 - 0) is divided by x?
30
Let a(v) = 2*v - 10. Let z be a(6). Suppose -10 + z = j. What is the remainder when 70 is divided by 7/(-56) + (-145)/j?
16
What is the remainder when 4858 is divided by (-150)/(-21) + 192/(-168)?
4
Let z(i) = 66*i - 449. Let y = 150 + -48. What is the remainder when y is divided by z(7)?
11
Suppose -10*s = 5*s - 345. Let u be -8 + 15 + -5 + 2/2. Suppose -5*m + 39 = -r - s, -2*m = u*r - 18. Calculate the remainder when m is divided by 2.
0
Calculate the remainder when 8 + (1 - 3) + 657 + -4 is divided by 21.
8
Suppose 0 = 3*g + g + 1116. Calculate the remainder when 143 is divided by (g/18 + -3)*(-2 - 0).
32
Calculate the remainder when -1 - 2 - -3478 - (8 - (22 - 6)) is divided by 870.
3
Suppose 28*x = -639 + 3106 + 3833. What is the remainder when x is divided by 93?
39
Calculate the remainder when 4782 is divided by (-15)/6*3300/(-150).
52
Suppose 0 = 5*r - 1098 - 472. Suppose -17*b + 3*n - 96 = -21*b, -4*n = -16. Calculate the remainder when r is divided by b.
20
What is the remainder when (-234206782)/(-15821) - 6/(-13) is divided by 35?
34
Suppose -9*m + 4*m + 5*c = -3145, -3*m + 22*c + 1887 = 0. What is the remainder when m is divided by 64?
53
Suppose -136*g + 1969 = 43*g. Calculate the remainder when 927 is divided by g.
3
Let v(z) = 16*z + 39 + 37 + 33. Calculate the remainder when 36 is divided by v(-6).
10
Let m be -7 + (-2 - (5 - 18)). Suppose -m*o + 34 = -294. Suppose -3*h = a - 27, -73 = -5*a - h + 132. What is the remainder when o is divided by a?
40
Suppose 4*l - 192 = -64. Suppose -242 = -43*g + l*g. Calculate the remainder when g is divided by 8.
6
Suppose 1072*x - 947 + 6892 = 1113*x. What is the remainder when 458 is divided by x?
23
Let d(u) = -1058*u - 317. Calculate the remainder when d(-3) is divided by 220.
217
Let k(z) = 2*z - 71. Let s be k(-16). Let l = s - -194. Calculate the remainder when l is divided by 24.
19
Suppose -5*d + 66 = 6. Suppose 9*h - d*h = -15. Suppose 272*a + 25 = 277*a. What is the remainder when h is divided by a?
0
Let r be (-2280)/(-100)*(-5)/(-3). Suppose -30*f - 304 = -r*f. Let q(i) = i**2 - 5. Calculate the remainder when f is divided by q(-5).
18
Let i(f) = -34*f - 11. Suppose 5*c - 27 + 18 = 41. Calculate the remainder when i(-5) is divided by c.
9
Suppose 10*n + 79*n = -288*n + 10556. What is the remainder when 160 is divided by n?
20
What is the remainder when 22260 is divided by 1/((-1)/4*68/(-1921))?
112
Let n(i) = 37*i**2 + 0 + 1 - 34*i**2 - 5. Suppose 0 = -2*u - 4 - 4. What is the remainder when 130 is divided by n(u)?
42
What is the remainder when 1761 is divided by (-8)/(-10)*1995/76?
18
Suppose -3137 + 2273 = -6*i. Calculate the remainder when i is divided by 37.
33
Let k(o) = 3*o**3 - 68*o**2 + 49*o + 3. What is the remainder when 1020 is divided by k(22)?
3
Let b be 300/(-55) + 6 - 6/11. Suppose -51*o + 21*o + 2100 = b. Calculate the remainder when 247 is divided by o.
37
Suppose 32*x - 2029 - 3763 = 0. What is the remainder when 13392 is divided by x?
179
Suppose 0 = 4*p + 3*a + 366, 4*p + 2*a = -0*a - 368. Let w = p + 50. Let o = 50 - w. What is the remainder when o is divided by 16?
13
Suppose 61 = 5*x - x - d, 0 = -5*d - 5. Suppose -11*s + 2*z = -14*s + 92, 16*s + 5*z = 468. Calculate the remainder when s is divided by x.
13
Let m be 26*(-12 - 300/(-24)). Let r(z) = 13*z**2 - 10 - z**3 - 7*z**2 + z + 7*z**2. What is the remainder when 5 is divided by r(m)?
2
What is the remainder when 373/(4/8 - 1 - -1) is divided by 148?
6
Suppose 5*v + 384*w = 383*w + 120, 0 = 5*w + 25. Let n = 171 - 11. Calculate the remainder when n is divided by v.
10
Suppose 0 = -3*i + 12, h - 3*i + 2 - 13 = 0. What is the remainder when 118 is divided by -1 + 6 + -16 + h?
10
Suppose 115*p = 109*p. Suppose -3*k - 4*w + 51 = p, -k + w = -4*w - 36. Let m(a) = a**3 - 3*a**2 + 3*a - 1. Calculate the remainder when k is divided by m(3).
5
Let l be ((-770)/4)/(-1) - 9/18. Let f = -28 + l. Calculate the remainder when f is divided by 51.
11
Suppose -3*y + 11 + 1 = 0. Suppose -y*m = m - 550. Suppose -2*d + 5*h + 56 = 0, -5*h + 111 + 29 = 5*d. Calculate the remainder when m is divided by d.
26
Let g = 344787 + -344772. What is the remainder when 82/3 + 2/(-6) is divided by g?
12
Suppose -2*p = -3*g - 4 + 13, 2*p - 4*g = -12. Suppose 0 = 7*n - 180 - 576. Suppose -3*q - q + n = p. What is the remainder when q is divided by 15?
12
Suppose -j = -4 + 10, 2*m - 844 = -3*j. What is the remainder when m is divided by 34?
23
Suppose -2*b = 3*o - 130 + 39, 5*o = b + 156. Let d be (11/22)/(2/(-84)). Let g = -13 - d. What is the remainder when o is divided by g?
7
Suppose 66*c + 4*p = 72*c