058 = -5*a. What is the remainder when a is divided by 47?
20
Calculate the remainder when 10846 is divided by ((-6)/10)/((-1332)/481740).
213
Let b = -11 + 11. Suppose -2*s + 20 = 4*f, -2*s + f + 0 - 5 = b. Suppose 9*a - 4*a + 14 = y, s = y + 4*a + 4. What is the remainder when 11 is divided by y?
3
Let p(x) = 2*x**3 - 105*x**2 + 51*x + 91. Suppose 2*f = 5*z + 235, 117 = f + z - 18. What is the remainder when f is divided by p(52)?
13
What is the remainder when 403 is divided by (6/25)/((-354)/(-13275))?
7
Let m be 0/(-2) + -5 + 1. Let n be (-20)/290 - 33354/(-58). What is the remainder when n/20 + m/(-16) is divided by 16?
13
Suppose -2*y - 2*l = -2, -5*l + 6 = -8*l. Suppose 4*r - 154 = y*z, r - 4*z - 156 = -3*r. Calculate the remainder when 104 is divided by r.
30
Let d = 19484 + -18537. Calculate the remainder when d is divided by 45.
2
Let u(n) = -n**2 - 77*n - 555. Calculate the remainder when u(-61) is divided by 111.
88
Let h(c) be the third derivative of 0 - 1/120*c**6 + 17*c**2 + 0*c - 2/3*c**3 - 7/24*c**4 - 1/12*c**5. What is the remainder when h(-7) is divided by 29?
27
Calculate the remainder when ((81865/10)/7)/((-11)/(-22)) is divided by 52.
51
Calculate the remainder when 213 is divided by (-3 + 2)/((-22)/1870) - -1.
41
Let v = -776 + 797. What is the remainder when 1047 is divided by v?
18
Let n(m) = m**3 + 12*m**2 + 19*m + 13. Calculate the remainder when 7150 is divided by n(-10).
20
Let t be (-4)/(-22) + (-150)/(-22). Suppose 484 + 48 = t*w. Let m(x) = x**3 - 8*x**2 + 14*x - 6. Calculate the remainder when w is divided by m(6).
4
Let o = -37 + 41. Let k be 25 + (1 + 0 - o). Let q = k - -23. What is the remainder when 178 is divided by q?
43
Let i(s) = s**2 - 17*s - 44. Calculate the remainder when 2238 is divided by i(-3).
14
Let t = -144 + 144. Suppose -4*r - 20 = t, -2*s - 2*r + 3*r = -59. Calculate the remainder when 75 is divided by s.
21
Let f = 39406 + -39384. Suppose -z + 2*z = 89. Calculate the remainder when z is divided by f.
1
Let i(h) = h**3 - h**2 + 18. Let m(o) be the first derivative of -7*o**2 + 39*o + 14. What is the remainder when m(-6) is divided by i(0)?
15
Suppose -18*k - 295 + 529 = 0. Suppose -3*j = r - 49, k*j - 14*j + 15 = r. Calculate the remainder when 40 - (-1 + -1 + 2) is divided by j.
6
Let z = -2168 + 2243. What is the remainder when z is divided by 53?
22
Let x be (-2937)/11*(1 + 39/(-9)). Suppose -1846 - x = -36*s. Let n(v) = -v**3 + 2*v**2 + 2*v + 1. What is the remainder when s is divided by n(-3)?
36
Let p(w) = 25*w - 12. Let r be p(10). Suppose -r - 245 = -7*c. Calculate the remainder when c is divided by 12.
9
Let m = 750 - 640. Calculate the remainder when 2085 is divided by m.
105
Let w(j) = 23*j - 26. Let g = 9 + -5. What is the remainder when w(g) is divided by 17?
15
Let g be (-11 - -15) + 11*41. Let y = 553 - g. Calculate the remainder when y is divided by 36.
26
Let r(z) = -3*z**3 + 3*z**2 + 3*z. Calculate the remainder when r(-3) is divided by (-131)/(-10) + 483/(-4830).
8
Let j(h) = -2*h - 20. Let s be j(-20). Calculate the remainder when (604/s - -5)*5/2 is divided by 45.
43
Suppose -4*d = 0, -2*m = d - 2*d - 8. Suppose 0 = -9*a + 5*a + 12. What is the remainder when 8 - (1 + -6 + m) is divided by a?
0
Let g be 52/(-24) + 2/12. Let j be 2/((22/55)/(g/(-1))). Suppose j*f - 24 = 6*f. Calculate the remainder when 11 is divided by f.
5
Suppose -120*o - 11124 = -174*o. Calculate the remainder when 630 is divided by o.
12
Let y(c) = 16*c**2 + 856*c + 8. Calculate the remainder when y(-54) is divided by 107.
12
Let z = 34598 - 3871. Calculate the remainder when z is divided by 35.
32
Suppose 0 = 2*i - 2*k - 438, 0*k + 2*k + 884 = 4*i. What is the remainder when i is divided by ((-1000)/1000)/(136/(-45) - (1 - 4))?
43
Let g(a) = 13 + 6*a + 9 + 12*a - 19*a. What is the remainder when 103 is divided by g(1)?
19
Suppose 27*d = 26*d + 12. What is the remainder when 1069/9 + 2/9 is divided by -1 - 3*(-124)/d?
29
Suppose n + 5*t = -209 + 1344, 5*n - 5815 = -5*t. What is the remainder when n is divided by 74?
60
Suppose -4*s = s - 10. Let r = 21895 + -21796. What is the remainder when r is divided by 66/(2 - -1) - s?
19
Suppose 5448*b + 21882 = 5454*b. What is the remainder when b is divided by 73?
70
Let w be (-740)/5 - (2 + 0). Let g = 222 + w. Suppose 3*s - 81 = -g. What is the remainder when 17 is divided by s?
2
Let h = -5474 - -5485. What is the remainder when 1319 is divided by h?
10
Let m = 365 - 338. Calculate the remainder when 45 is divided by (-1)/(2/18)*(-36)/m.
9
Let i = 2813 - 2784. What is the remainder when 898 is divided by i?
28
Let k = -218 + 586. Let l = -349 + k. What is the remainder when 151 is divided by l?
18
Suppose 5*b = -v + 96, -4*v + 391 + 11 = 2*b. Calculate the remainder when 2317 is divided by v.
95
Let y(z) = -127*z - 4396. Calculate the remainder when y(-46) is divided by 283.
31
Let j = -2270 + 1844. Let u = j + 437. Suppose -96 = k - 2*k. Calculate the remainder when k is divided by u.
8
Suppose 5*m + x - 4823 = 0, 4*m - 17*x + 19*x = 3862. Calculate the remainder when m is divided by 961.
3
Suppose 0 = -4*w + 373 - 305. Calculate the remainder when 950 is divided by w.
15
What is the remainder when 1207 is divided by (1592/(-20))/(6 + 576/(-90))?
13
Suppose -3*m + 7706 = z, -m + 14195 + 24419 = 5*z. What is the remainder when z is divided by 91?
80
Let y(s) = -s - s**2 + 43 + 33 + 3 + 18*s. What is the remainder when 161 is divided by y(19)?
38
What is the remainder when 678 is divided by ((-10)/10)/((-9)/(-93)*(-2)/6)?
27
Let v = 97 - -20. Let s = -86 + v. What is the remainder when 46 is divided by s?
15
Let p(a) = -a**3 - 12*a**2 - 35*a + 2. Let l be p(-7). Suppose -l*v + q + 190 = 3*v, -q = 5. What is the remainder when 106 is divided by v?
32
Let w(n) = 53*n - 65. Let c = 398 + -395. What is the remainder when w(c) is divided by 16?
14
Suppose -74*g + 2999 = 305 - 1302. What is the remainder when 12202 is divided by g?
52
Let w(c) = -5*c + 137. Suppose 0 = 7*v - 10*v + 12. Suppose 4*z + v*x - 44 = 0, -5*z + 29 = 3*x - 36. Calculate the remainder when w(18) is divided by z.
15
Let w = -246213 + 246287. Suppose 4 + 10 = y. Calculate the remainder when w is divided by y.
4
Let r = 732 - 686. Suppose -25*x + 33 = -117. What is the remainder when r is divided by x?
4
Calculate the remainder when -3 - (-106 - 5/(-5)) is divided by 2916/135 - 4/(-10).
14
Suppose -27*x - 12990 = -5*x - 13386. What is the remainder when (-2 + 91/4)*4 is divided by x?
11
Let t = 1867 + -1838. Suppose 2*z - 2 = -6, 2*x - 4*z - 12 = 0. Suppose -x*l + 11 = 1. What is the remainder when t is divided by l?
4
Let b(k) be the third derivative of -k**5/60 + 11*k**4/24 + 41*k**3/3 + k**2 - 21*k. Calculate the remainder when 65 is divided by b(15).
21
Suppose 8*l = 5*j + 7*l - 240, 0 = -l + 5. Let x = 5 - 1. Calculate the remainder when (-1 - -3 - 8) + j is divided by x.
3
Let p(q) = 5*q**3 - 4*q**2 + 7*q + 4. Let v(t) = t**3 + t**2 + 3. Let r(f) = -p(f) - v(f). What is the remainder when r(-4) is divided by 24?
21
Suppose 92*l - 99*l + 497 = 0. Let q(v) = 5*v**2 + 2*v. What is the remainder when l is divided by q(2)?
23
Let g(a) = -15*a - 42. Let h = 122 + -38. Let o = h + -74. What is the remainder when g(-6) is divided by o?
8
Let r(d) = -d**2 - 3*d + 71. What is the remainder when 7 is divided by r(7)?
0
Suppose 5*a = 20 - 35, a = 3*z - 14232. Calculate the remainder when z is divided by 101.
97
Let q(z) = 6*z + 61. Let a be q(-10). Let m(p) = -2*p - 17. Calculate the remainder when 1*(a + 2) + 28 is divided by m(-10).
1
Suppose 3*b = 3*y + 66, 0 = -143*y + 142*y. What is the remainder when 160 is divided by b?
6
Suppose -3*k - 382 + 942 = 4*k. Calculate the remainder when 395 is divided by k.
75
Let b(j) = -10*j + 1. Let r = 623 + -346. Suppose 0 = -5*x + 113 + r. What is the remainder when x is divided by b(-4)?
37
Suppose 0 = -v, 404 = 5*h - h + 4*v. Let p(x) = 2*x**3 - 78*x**2 + x - 4. Calculate the remainder when h is divided by p(39).
31
Suppose -4*v - 2*i + 5*i + 2090 = 0, -v = 5*i - 511. Let o = v + -499. Calculate the remainder when 79 is divided by o.
13
Let l = -195 + 200. Suppose -l*f = -9*f + 4*t + 224, 2*t + 4 = 0. What is the remainder when f is divided by 31?
