*s + 48 = b - o*b, b - s = 60. Calculate the remainder when b is divided by 17.
13
Let j = 3809 - 2847. Calculate the remainder when j is divided by 81.
71
Suppose 2*k - 5*b = 336, b + 12 = 3*k - 505. Calculate the remainder when k is divided by 22.
19
Suppose 2*j + 4*j - 77 = -5*j. What is the remainder when 1958 is divided by j?
5
Let k be 12/(-2) - (-104)/13. Suppose 3*d - 72 = 5*a - 8*a, k*a = -6. What is the remainder when d is divided by 5?
2
Suppose w - 4*w = -15, m + 2*w = 34. Suppose -6 = -s + 11. Calculate the remainder when m is divided by s.
7
Suppose -4*w = -2*z + 72, 13 = -w + z - 3. Let g = w + 27. Suppose -115 - 102 = -g*d. Calculate the remainder when d is divided by 11.
9
Suppose -116*d + 107*d + 144 = 0. What is the remainder when 1960 is divided by d?
8
Suppose -17*d + 68*d = -59*d + 84370. Calculate the remainder when d is divided by 761.
6
What is the remainder when 4/(-16)*-20*(-1 - 22/(-2)) is divided by 19?
12
Let a = -281 - -285. Suppose u + y = 70, 8*y = 3*u + 4*y - 245. What is the remainder when u is divided by a?
3
Suppose 0 = 2*a - 12 - 4. Suppose -a = 11*x - 9*x. Calculate the remainder when 4208/88 + x/(-22) is divided by 17.
14
Suppose -q - 5*d + 194 = 0, d - 1 = -0. Let h = 34262 + -34243. Calculate the remainder when q is divided by h.
18
Suppose 14*n - 54*n = -5920. Calculate the remainder when 437 is divided by n.
141
Let p(r) = r**3 - 4*r + 2. Suppose 6*t - 28 = -16. What is the remainder when 7 is divided by p(t)?
1
Suppose 2*f + 7*f - 744 = -15*f. What is the remainder when 2880 is divided by f?
28
Calculate the remainder when (3/(-6))/(3/(-1722)) is divided by ((2997/148)/(-27))/(-1 + 130/136).
15
Suppose -232*l + 103*l + 7049 = -76*l. What is the remainder when l is divided by 57?
19
Let s(v) = 6*v**2 - 17 + 3*v**2 + 16. Let w be s(1). Suppose -g = 3*n - 42, n - g - w = 10. What is the remainder when n is divided by 10?
5
Let m(k) = -39*k + 472. Let u(t) be the third derivative of -t**5/60 + 7*t**4/12 - 7*t**3/3 + 4*t**2. What is the remainder when u(12) is divided by m(12)?
2
Let b = -100821 + 100831. Let d be -1 - (2 + -1*6). Calculate the remainder when b is divided by 50/6 + (-1)/d.
2
Suppose 39 = 2*z + 3*g + 3, -5*g - 18 = -z. Suppose 2*w + 20 = z, -5*p = -4*w - 159. Suppose 0 = 7*m - 3*m - 232. What is the remainder when m is divided by p?
27
Let h(f) = -f**3 + 9*f**2 - 6*f + 4. Calculate the remainder when h(6) is divided by (10/(-4) - -1) + 57/2.
22
Let o(h) = -35*h + 1850. What is the remainder when o(31) is divided by 32?
29
Suppose -2*d - 2102 = 4*p - 2404, -2*p - 2*d + 154 = 0. Calculate the remainder when 5323 is divided by p.
69
Let x = 5828 - 2807. Calculate the remainder when x is divided by 121.
117
Let w be (3 - (-1 + 3))/((-2)/(-6)). Let l(b) = 8*b**2 + 3*b - 22. Calculate the remainder when 231 is divided by l(w).
54
Suppose 4*u - 174 = 2*y, 0 = 2*y - 2. Suppose -3*s + 12 = 3*z, -8*z + 3*z + 3*s + 36 = 0. What is the remainder when (-1 - -2 - z)*-1 + 301 is divided by u?
42
Let q = -12764 + 12904. What is the remainder when q is divided by 80?
60
Suppose 0 = 3*y - 9, -2*n - 3*y - 18 = -3*n. Suppose -3*r + n = -24. Let f(j) = 801*j - 5545. Calculate the remainder when f(7) is divided by r.
11
Let w(z) = -z**3 + 16*z**2 + 16*z - 19. Let l be w(17). Calculate the remainder when 1392/30 + -4 + l/(-10) is divided by 7.
4
Let r(p) = 4*p**2 - 187*p - 15. Calculate the remainder when 72 is divided by r(47).
8
Let x be (-243)/(-2) + 2/4. Suppose 4*u + u + 119 = 2*p, 2*p - x = 2*u. Let y = 18380 + -18344. Calculate the remainder when p is divided by y.
26
Suppose -47*m - 12*m + 118 = 0. Calculate the remainder when 141 is divided by m.
1
Let p be 7 - 16/(-12)*45. Suppose 14*w - 59 = p. What is the remainder when 176 is divided by w?
5
Let h = 29 + -27. Let w be (h - 2)*(-8)/16. What is the remainder when 63 is divided by 0 + w - (-2 - (16 + -1))?
12
Suppose -35*u = -61 - 79. Suppose u*h - 79 = -5*p, h + 31 = 2*p + 2. Calculate the remainder when 103 is divided by p.
13
Let k(s) = -5*s**2 + 549*s + 797. What is the remainder when 2489 is divided by k(111)?
0
Suppose -5*x - 4*o = -1082, 0 = 4*x + o - 941 + 82. Calculate the remainder when 223 is divided by x.
9
Suppose -15*c + 16*c = 2*j + 283, 1359 = 5*c + 4*j. What is the remainder when 611 is divided by c?
61
Let y = 880 - 508. Suppose 0 = -461*t + 467*t - y. What is the remainder when t is divided by 29?
4
Let z(g) = g**3 + 8*g**2 - 223*g - 1350. Calculate the remainder when 943 is divided by z(-6).
43
Suppose i + 43 = 2*s, 4*s - 3*i + 7*i - 116 = 0. What is the remainder when 25 is divided by s?
1
Suppose -10 = -b - 7. Suppose -3 = 3*h, 4*m + 150 = b*h + 873. What is the remainder when m is divided by 14?
12
Let i = -14008 - -26349. What is the remainder when i is divided by 34?
33
Let q(b) = b**3 - 118*b**2 + 60*b - 542. What is the remainder when q(118) is divided by 109?
107
Let b = 90 + -69. What is the remainder when (b/(-12))/(3/(-216)) is divided by 58?
10
Suppose 3*c - 29 = -2*t, 4*c + 4*t + 146 = 190. Calculate the remainder when 3268 is divided by c.
6
Let a = 286 + -26. Let d = a - 209. Calculate the remainder when 149 is divided by d.
47
Calculate the remainder when (621/(-90)*2)/((-34)/2380) is divided by (-1 - -39)*3/2.
54
Suppose 540 = 160*a - 20*a - 20. What is the remainder when 129 is divided by a?
1
Let i = -22 + 31. Calculate the remainder when -2 + (-120)/(-57) - 38199/(-2261) is divided by i.
8
Suppose 2*c + 5 = 3*c. Suppose -c*x = 5*x - 180. Suppose -2*w + 10 + 10 = -2*z, -4*w + z = -49. Calculate the remainder when x is divided by w.
5
Let p(g) = 61*g**2 - 12*g - 20. What is the remainder when p(-5) is divided by 32?
29
What is the remainder when 500 is divided by -2 + 20/14 - (-21 + 1962/(-126))?
32
Let t = 10109 - 9888. Calculate the remainder when 2650 is divided by t.
219
Suppose -29*j + 13867 = -17801. Suppose 7*q + j = 14*q. What is the remainder when q is divided by 71?
14
Let o = -204 - -324. Suppose 0 = w + 3*w - o. Suppose 6*n + 43 = t - 41, -4*n = 2*t + 8. Calculate the remainder when w is divided by t.
12
Let m be 2/(-6) + 56/6 + -5. Suppose -4*i = m*v - 152, 5*v = 8*v + i - 118. Calculate the remainder when v is divided by 21.
19
Let d = -21087 + 27939. What is the remainder when d is divided by 2283?
3
Suppose -4*n + 24032 = -6*p, 139*p - 24 = 135*p. Calculate the remainder when n is divided by 44.
33
What is the remainder when 689*1 - (-3408)/(-639)*(-9)/8 is divided by 47?
37
Let f(o) be the second derivative of o**5/20 - 7*o**4/6 - 17*o**3/2 + 9*o**2 + 61*o. Calculate the remainder when -1 + 35 + -1 + 0 is divided by f(17).
15
Suppose 0 = -2*y - 4*s + 300, 2*y + 3*s - 530 = -222. Suppose -108 = -2*f - 4*r, f + 0*f - 57 = r. Calculate the remainder when y is divided by f.
54
Let a = -4521 - -16995. Suppose -82*g = -64*g - a. What is the remainder when g is divided by 29?
26
Suppose 1006911 = -371*t + 6141922. Calculate the remainder when t is divided by 65.
61
Suppose -5*u = 2*q - 108, -u - 216 = 59*q - 64*q. Calculate the remainder when 531 is divided by q.
3
What is the remainder when (-7860)/(-54) - 104/(-234) is divided by 57?
32
Suppose 0 = -7*l - 96 + 173. What is the remainder when 306 is divided by l?
9
Let s = -1217 + 2657. What is the remainder when s is divided by 85?
80
Suppose -3*j = -76 + 19. Suppose -4*l = 3 - j. Suppose -s + l*q = 13, 4*q - 9 = s + q. What is the remainder when 17 is divided by s?
2
Suppose -21*z + 35135 = 34001. What is the remainder when 271 is divided by z?
1
Suppose -6*n = -8*n - 3*v + 41, 106 = 4*n - 2*v. Suppose -36*o - n*o = -488. Suppose -26 = -c + 1. What is the remainder when c is divided by o?
3
Let h(b) = -15*b**3 - 4*b**2 - 7*b - 18. What is the remainder when h(-3) is divided by 17?
15
Suppose -4*q + 582 = -2*n, -4*q = 5*n - n - 552. Suppose 7*b + q = -123. Let i = b + 66. Calculate the remainder when i is divided by 9.
1
Let p(t) = -78*t**2 + 6*t + 8. Let o(j) = 39*j**2 - 3*j - 4. Let q(d) = 7*o(d) + 3*p(d). What is the remainder when 227 is divided by q(-1)?
37
Suppose 7*c = -80*c + 3741. Calculate the remainder when 323 is divided by c.
22
Suppose -16*f + 117 = -3*f. Suppose f*t - 112 + 40 = 0. What is the remainder when 13 is divided by t?
5
Le