pose r - 2*m - 2 - 38 = 0, -4*m = 3*r - 90. What is the remainder when 164 is divided by r?
28
Let t be (6/12 - (-31)/4)*-4. What is the remainder when -8 + (-270)/t - 3010/(-22) is divided by 41?
14
Suppose -14 = -3*t - 2, 0 = -4*i + 3*t + 28. Calculate the remainder when 1345 is divided by i.
5
Let t(d) = -192*d + 5711. What is the remainder when t(29) is divided by 41?
20
Suppose -2*h + 4 = -2*w, 2*h - 3*w = -2*w + 7. Let k = 134 + -116. Calculate the remainder when (-191)/(-9) + k/(-81) is divided by h.
1
Let j = 408 - 666. Let z = -133 - j. What is the remainder when z is divided by 8?
5
Let d = 25 - -7. Let o be (-20)/(-90) + (-1796)/(-18). Let n = -38 + o. What is the remainder when n is divided by d?
30
Suppose i + 1 = -2*k, 2*k - 5*i = -3*k + 5. Suppose k*g + 4*g - 116 = -4*o, 0 = 5*o + 4*g - 150. Let h = o - 26. What is the remainder when 30 is divided by h?
6
Let i(j) = 19*j - 1883. Suppose m = -3*d + 19, m + 3*d - 4*d = 15. What is the remainder when i(101) is divided by m?
4
Suppose 95*x = 123*x - 560. What is the remainder when 412 is divided by x?
12
Suppose 11*i + 15 = -4*i. Let h be (i + -5)/(27/(-4176)*4). Let t = h - 133. What is the remainder when t is divided by 34?
31
Suppose 3*o + 5*x = 247 + 79, -498 = -5*o + 3*x. Calculate the remainder when o is divided by 26.
24
Let n(r) = -r**3 - 4*r**2 - r + 2. Let q be n(-4). Suppose -80 = -3*v + 4*h, v + q*h = 2*h. Calculate the remainder when 37 is divided by v.
17
Let o = -14 - -14. Suppose 4*b + o*b = -12. Let h(t) = 5*t**2 + 6*t + 6. Calculate the remainder when h(b) is divided by 3.
0
Let n = -100 - -159. Suppose -n*d - 18 = -56*d. Calculate the remainder when 15 is divided by d/9 + (1 - (-33)/9).
3
Suppose p + 5*i = 428, -3*i + 2114 = 7*p - 594. What is the remainder when p is divided by 282?
101
What is the remainder when 2148 is divided by (-3)/(18/(-1632)) - (-6 + 9)?
265
Let s be (-5 - (-5 + -1) - -105)/2. Let t = s - -109. Calculate the remainder when t is divided by 34.
26
Let s(g) = -g + 13. Let n be s(-8). Let t be 666/n + (-8)/(-28). What is the remainder when ((-42)/8)/((-6)/t) is divided by 10?
8
Suppose 3*k + 517 = -m, 35*m + 1993 = 31*m + 3*k. Let t = 521 + m. Calculate the remainder when t is divided by 6.
1
Suppose -12288 - 649 - 22828 = -115*y. Calculate the remainder when 27989 is divided by y.
310
Let t(r) be the first derivative of r**3/3 + 3*r**2/2 - r - 5. Calculate the remainder when 161 is divided by t(-7).
26
Suppose 4*v = 8*v + 4. Calculate the remainder when 76 is divided by (v - -5 - 1) + (48 - 11).
36
Let t(z) = z**2 - 6*z - 3. Let d be t(7). Let y(m) = -m**3 + 4*m**2 + 2*m - 2. Let b = -1983 + 2000. What is the remainder when b is divided by y(d)?
5
Let q be ((-1)/(-3))/((-116)/114 - -1). Let o = 60 + q. Suppose -t - 2*m = 3*m - o, -t - 2*m = -53. Calculate the remainder when t is divided by 16.
13
Let l be (2 + -5 + -1)*-1. Suppose -118 = -l*y - 10. Let h = y - 11. Calculate the remainder when 61 is divided by h.
13
Let i(k) = -87*k + 1736. What is the remainder when 10028 is divided by i(18)?
168
Let o(k) = k**3 - 34*k**2 + 53*k + 21. Suppose -5*u - 5*u + 330 = 0. Calculate the remainder when o(u) is divided by 76.
73
Suppose -4*q - q = -1410. Suppose 2*u = -4*u + q. Let n = u + -9. What is the remainder when n is divided by 13?
12
Let v(n) be the third derivative of n**5/30 - 3*n**4/8 + 5*n**3/6 - 18*n**2. Let t be v(4). Calculate the remainder when (t - 11)/(1/(-16)) is divided by 41.
37
Let f = 1634 - 1589. What is the remainder when 14/7 + (-528)/(-2) is divided by f?
41
Suppose 4771*o + 804 = 4783*o. What is the remainder when 187 is divided by o?
53
Let i(l) = 26*l - 600. What is the remainder when i(40) is divided by 143?
11
Let r be 0 + (-1)/1*-190. Suppose 45 + r = 5*a. What is the remainder when (-50460)/(-360) - (-5)/(-30) is divided by a?
46
Suppose -12*d + 4511 = 119. Suppose 198 = f + 4*t, -3*f = -f - 2*t - d. Calculate the remainder when f is divided by 27.
24
Let z = -190 + 202. Suppose 5*w = -z*w + 493. Calculate the remainder when 61 is divided by w.
3
Let h = -108 + 855. Calculate the remainder when h is divided by 7.
5
Let o = -16554 + 16566. Calculate the remainder when 867 is divided by o.
3
Suppose -h - 21*i + 18*i - 525 = 0, 3*h + 4*i + 1560 = 0. Let g = -505 - h. Calculate the remainder when 15 is divided by g.
4
Let i be (-6)/(-21) + (-88)/14. Let w(o) be the first derivative of -3*o**2/2 - 13*o - 1093. Calculate the remainder when 13 is divided by w(i).
3
Let v = -135 - -137. Suppose -x = -2*h - 10, -x - v + 0 = 4*h. Suppose 0 = 2*z + 5*t - 47, 2*z + 0*z + 4*t = 46. What is the remainder when z is divided by x?
3
Let i(m) = m**3 + 4*m**2 - 2*m + 11. Let p be i(-5). Let j(g) = g**3 + 2*g**2 - 10*g - 1. What is the remainder when 8 is divided by j(p)?
1
Let u(s) = -58*s - 3137. What is the remainder when u(-57) is divided by 52?
13
Let y = 6 - 6. Suppose y = 2*o - 5*p - 38, -10 = -o + 5*p - 1. Let g = 289 + -175. Calculate the remainder when g is divided by o.
27
Let y be (-3 - -10) + (1 - -2). Calculate the remainder when ((-156)/y)/(16/(-40)) is divided by 14.
11
Let o(v) = 16*v**2 - 201*v - 73. Calculate the remainder when o(28) is divided by 33.
12
Suppose 2*i - 32 = 4*r, 5*i + 59 = 10*i - 3*r. Suppose 108 = i*x + 8*x. What is the remainder when 27 is divided by x?
3
Let n = 232 - 238. Suppose 4*p + 2 = p - 5*t, 4*t + 40 = 4*p. What is the remainder when (48/32)/((-1)/n) is divided by p?
3
Let l = -197 - -202. Suppose -l*x + 3*c + 650 - 192 = 0, -2*c + 384 = 4*x. Calculate the remainder when x is divided by 25.
19
Suppose -93*t + 68*t + 10400 = 0. What is the remainder when t is divided by 104?
0
Let b = -3 - -7. Let s(h) be the third derivative of h**5/60 - 5*h**4/24 + 4*h**3/3 - 36*h**2. What is the remainder when 5 is divided by s(b)?
1
Let h(v) = 2*v**2 + 4*v + 15. Let j = 64 + -66. Calculate the remainder when h(j) is divided by 12.
3
Let q(t) be the first derivative of t**3/3 + 15*t**2/2 + 134*t - 231. Calculate the remainder when q(-8) is divided by 0 + 1/(2/40).
18
Suppose 0 = -4*z + 2*j + 182, -3*j - 26 + 23 = 0. Suppose 3*c + 8 = 2*b, -7 = 4*c - 0*c + b. Calculate the remainder when z is divided by (-75)/(-3) + c*1.
22
Let t(o) = 10*o + 105. Let p = -88 + 390. Suppose -3*k = -4*z + p, z + 362 = 6*z + 4*k. Calculate the remainder when z is divided by t(-9).
14
Let r(x) = -2*x**2 - 4*x - 8. Let j(i) = -4*i**2 - 7*i - 15. Let l(g) = -3*j(g) + 5*r(g). Let b(f) = f + 5. What is the remainder when l(0) is divided by b(-3)?
1
Suppose -109*y + 1955 = 2*j - 108*y, 0 = -y - 1. Calculate the remainder when j is divided by 2.
0
Suppose 0 = -23*h + 15*h - 2*a + 5164, 0 = -4*h + 3*a + 2558. Calculate the remainder when h is divided by 195.
59
Let i be (-256)/112 - (-4)/14. Suppose 5*j + 10 = 0, -u - 4*u = 2*j - 246. Calculate the remainder when u is divided by 14 - (-5 - (i - -1)).
14
Suppose 0 = -2*h + 4*d + 34, -3*h - h + 2*d = -80. Suppose -338 = -34*s + h*s. What is the remainder when 75 is divided by s?
23
Let p = 16 + -11. Let o(b) = 5*b**2 + 33*b + 85. What is the remainder when o(-8) is divided by ((-26)/1)/(3 - p)?
11
Suppose -4*f = 2*b - 2854, -4*f + 316 = 3*b - 2531. What is the remainder when 2152 is divided by f?
1
Suppose 3*b = b + 32. Suppose 57 = a + 3*l, 5*a - 5*l - 45 = 240. Calculate the remainder when a is divided by b.
9
Suppose 2*r + 3*z = 23, -r + 4*z - 26 = -3*r. Suppose -202 = r*x - 601. Suppose v - 188 = -x. What is the remainder when v is divided by 33?
32
Let x(p) be the third derivative of p**4/24 + 11*p**3/6 - 5*p**2 + p. Let w be 8/(-2)*(-3)/(-4). Calculate the remainder when 12 is divided by x(w).
4
Suppose 4*q - 1044 = -4*t, 0 = -2*q + 2*t + 415 + 107. What is the remainder when 16437 is divided by q?
255
Suppose -m + 5*m = 208. Let z = 52 - m. Suppose -6*c + 10*c - 240 = z. What is the remainder when c is divided by 16?
12
Let k = -42 - -158. Calculate the remainder when k is divided by 1*(7*1 - (-132 - -102)).
5
Suppose -5*y - 5*q + 440 = 0, -3*y = -5*q - 142 - 58. What is the remainder when 763 is divided by y?
43
Let v(z) = 2*z**3 + 17*z**2 + 4*z - 2. Let y be v(-8). Let h = y + -15. Suppose 16*f - h*f - 20 = 0. Calculate the remainder when 119 is divided by f.
19
Let z(q) = 3*