ivided by 73.
8
Suppose -3*x + 31 = -v, -5284*v = -x - 5288*v + 45. What is the remainder when 0 + 0 - 0 - -284 is divided by x?
11
Let a = -87745 + 87785. Let c(q) = 4*q. What is the remainder when a is divided by c(2)?
0
Let y be (39/(-6))/(1/(-2)). Suppose 16 - y = i. Suppose -i*r = -2*k + 40, 0 = 5*r - 14 + 4. Calculate the remainder when k is divided by 9.
5
Suppose 117*f - 46947 = -16176. What is the remainder when f is divided by 62?
15
Let n(j) = -j**3 + 8*j**2 - 2*j + 9. Let t be n(8). Let y = -13 + t. Calculate the remainder when 78 is divided by -5*(-4 + y/(-25)).
14
Let m = -138 - -2082. Suppose -6 = -5*j + m. Suppose -4*w + j = 6*w. What is the remainder when w is divided by 14?
11
Let b = -21498 - -23418. What is the remainder when b is divided by 29?
6
Suppose 0 = -3*t - 12. Calculate the remainder when 36738/1413 + (-36)/(-2) is divided by (t/(-10))/((-4)/(-120)).
8
Suppose 138*l + 198 = 4752. Calculate the remainder when 51 is divided by l.
18
Suppose 4*z - 165 - 19 = 0. Suppose -5*u + 34 + 9 = 2*x, -3*u = -3*x + 75. What is the remainder when z is divided by ((-18)/x)/(6/(-40)) - -1?
4
Let t(k) = 69*k**3 - 13*k**2 - 5*k + 45. What is the remainder when t(3) is divided by 127?
125
Suppose 3*m + 1 = 2*h, 3*h - 8 = 7. Suppose 2*f + 31*t - 28*t = 51, 9 = -m*t. What is the remainder when f is divided by 11?
8
Let x(p) = -42*p + 602. What is the remainder when 199 is divided by x(14)?
3
Suppose -119*m - 18 = -120*m. Suppose 4*i - 2*i = 174. Suppose m*r - 19*r = -i. What is the remainder when r is divided by 22?
21
Suppose -4037 + 311 = 124365*j - 124446*j. Suppose -2*f - 957 = -5*f. What is the remainder when f is divided by j?
43
Let q = -1 + 16. Let w = 12 + q. Calculate the remainder when w is divided by ((-2)/(-3))/((-10)/(-150))*(-14)/(-10).
13
Suppose -v + 4*j - 7 + 34 = 0, j + 2 = 0. Calculate the remainder when 1041 is divided by v.
15
Suppose -4*b = 4*m + 2648, -2*m - 3*b = 2*m + 2652. Let t = m + 689. What is the remainder when 107 is divided by t?
15
Suppose 21*d = 236 + 79. What is the remainder when 56 is divided by d?
11
Suppose -14*q + 2736 = 132. Let i = 4 + -2. Suppose 36 - 90 = -i*l. What is the remainder when q is divided by l?
24
Let k = -8 + 9. Let u be 1374/36 - k/6. Suppose -5*w - h = -u, 4*w + h + 25 = 8*w. Calculate the remainder when 10 is divided by w.
3
Suppose 133*s - 135*s + 2*k + 582 = 0, s - 299 = 3*k. What is the remainder when s is divided by 17?
15
Suppose 175 = 4*k - 21. Let i(z) = 7*z**3 - 3*z**2 + z + 1. Let v be i(1). Calculate the remainder when k is divided by 61/v + (-13)/78.
9
Suppose -l = 3*l + 20. Let m(q) be the third derivative of q**5/60 + q**4/12 - 4*q**3/3 - 942*q**2. Calculate the remainder when 12 is divided by m(l).
5
Suppose 2*p - 5*t - 969 = 0, 1467 = 10*p - 7*p - 3*t. Let s = -368 + p. What is the remainder when s is divided by 41?
1
Let p = -29 + 36. Let x = 5536 - 5532. Calculate the remainder when p is divided by x.
3
Calculate the remainder when (-8 + 377 - -3) + -5*4/(-5) is divided by 53.
5
Suppose 0 = -k + 2*k - 17. Let w(z) = 2*z**3 - 2*z**2 - z + 2. Let u be w(1). Calculate the remainder when 4*u/(-6) + (-200)/(-3) is divided by k.
15
Let b = 1477 - 939. Calculate the remainder when b is divided by 168.
34
Suppose -2*k + 2*p + 132 = 0, -81*p + 8 = -83*p. What is the remainder when 2030 is divided by k?
46
Suppose -5*a + 0*o = -3*o + 1404, 1380 = -5*a - 5*o. Let i = -126 - a. Suppose 47 = 8*t - i. What is the remainder when 68 is divided by t?
18
Suppose -s + 20 = -67. Suppose 3*p - 6*a - 12 = 0, 3*p - 26 = 265*a - 261*a. Calculate the remainder when s is divided by p.
15
Let d = 1 + 170. Calculate the remainder when d*(9/3)/9 is divided by 17.
6
Suppose -9 - 7 = -2*b. What is the remainder when (17/((-1360)/288))/(((-1)/(-10))/(-1)) is divided by b?
4
Suppose -s + 461 = -4*f, -4*f - 479 = 3*s + 2*s. Suppose 0 = -5*q + 19*q + 1456. Let h = q - f. What is the remainder when 117 is divided by h?
9
Suppose -2 = -c + 3*j, -5*c + 0*j + 27 = 2*j. Suppose -u - 210 = c*u. What is the remainder when 93 is divided by ((-21)/u)/((-2)/(-80))?
21
Let q(w) = 12*w + 1. Let g(s) = 7*s**2 - s + 13. Let a(d) = 13*d**2 + 25. Let h(k) = 4*a(k) - 7*g(k). What is the remainder when h(-5) is divided by q(1)?
10
Let y(f) = -f**3 - 12*f**2 - 20*f - 14. Let v be y(-10). What is the remainder when ((-8)/(-6))/((-4)/(-42)) is divided by -5 + 495/77 + (-8)/v?
0
Let b be (-60)/(-33) - ((-12)/22)/3. Suppose -b*l + 52 = -5*y, l - 47 = 5*y - 11. Let m = 372 - 217. Calculate the remainder when m is divided by l.
11
Suppose 1 = 2*l - w - 45, 0 = -3*l + 4*w + 64. What is the remainder when 428 is divided by l?
20
Suppose 5*n + 2*f - 664 = 891, -636 = -2*n + 2*f. What is the remainder when 955 is divided by n?
16
Let k(z) = z**2 - 17*z - 2. Let p be k(8). Let a = p - -76. Calculate the remainder when 49 is divided by (-136)/(-8)*(2*1)/a.
15
Let u(a) = 10*a - 227. Let l be u(29). Suppose l*s = 60*s + 408. Calculate the remainder when s is divided by 31.
12
Suppose -42*i + 1114 + 902 = 0. What is the remainder when 100 is divided by i?
4
Let u = 142 + -203. Let v = u - -120. Calculate the remainder when v is divided by 20.
19
Suppose 0*w - 10*w = -1920. Calculate the remainder when w is divided by 60 + 3/3 - (1 + -7).
58
Let t(f) = 3*f**2 - 14*f - 93. What is the remainder when 1624 is divided by t(9)?
16
Let d(i) = 876*i - 1547. What is the remainder when d(4) is divided by 123?
112
Suppose -8010 - 18685 = -19*b. Calculate the remainder when b is divided by 699.
7
What is the remainder when 265 is divided by ((164/(-12))/(4 - 3))/((-2)/30)?
60
Let w(m) = 2*m**3 + 43*m**2 + 220*m. What is the remainder when 1193 is divided by w(-13)?
10
Let v = -389 + 412. Let p be (-4 - -6)/(2/4). Suppose -c = p*c - 455. Calculate the remainder when c is divided by v.
22
Suppose -13*u + 413 = -380. Calculate the remainder when u is divided by (-580)/(-15) + 5/(75/(-10)).
23
Suppose -4*z = -5*b - 8*z + 38, 4*b = -4*z + 28. Suppose 2*x - 2*l = 24, 0 = -13*l + b*l + 12. What is the remainder when 92 is divided by x?
12
Suppose 2*a = 6, 0*j + 2*a = -3*j + 12. Suppose 0 = 5*z + l - 273 - 40, -2*z = -j*l - 130. Calculate the remainder when z is divided by 33.
30
Suppose 4*r - 135 = -5*a, -4*a + 6*a = -3*r + 103. Calculate the remainder when 1434 is divided by r.
34
Let d(c) = c**2 - 3*c - 7. Let m be d(3). Let j = m - -28. Calculate the remainder when (162/(-45))/(6/(-135)) is divided by j.
18
Suppose 57*j = 177177 + 5793. Calculate the remainder when j is divided by 146.
144
Suppose 4*v - 1216 = -w, 0 = -3*v - 2*w - 2*w + 899. Let b = v + -293. What is the remainder when 15 is divided by b?
3
Let h be 147/12 - 2/8. Let p be (9/(243/(-45)))/((-2)/6). Suppose -2*d + 0*b = 3*b - 12, -h = -2*d - p*b. Calculate the remainder when 18 is divided by d.
0
What is the remainder when 13628 is divided by (1603 - 1503) + (-4)/14 + 80/(-14)?
92
Let n(m) be the second derivative of 2*m**3/3 + 16*m**2 - 7*m + 1. What is the remainder when 51 is divided by n(1)?
15
Let g(b) = b**2 - 96*b + 1368. Let h be -8*(-3)/(12/2). Suppose 0 = -h*r - 0*r + 16. Calculate the remainder when g(79) is divided by r.
1
Let z(p) = 13*p + 2. Let y be z(4). Suppose 2*d - y = -0*d. Let j = 118 - 103. Calculate the remainder when d is divided by j.
12
Let h(w) = w**3 - 15*w**2 + 2*w - 5. Let o be h(15). Let d(l) = o*l - 2*l**2 + 8 + 5 - 15*l + 3*l**2. What is the remainder when d(-11) is divided by 13?
11
Suppose -203*s + 1474 = -1368. Calculate the remainder when 17793 is divided by s.
13
Let b(q) = -26*q**3 + 7*q**2 - 4*q - 1. Let s be b(2). Calculate the remainder when (-6)/(-1) + (9 - s - -3) is divided by 17.
3
Let y(g) = -g**3 + 9*g**2 - 5*g - 7. Let b be 24/10*(1/3 + 3). Let s be y(b). Suppose -s*r = -16*r - 21. What is the remainder when 82 is divided by r?
19
Suppose -4*l + s + 83 = 0, 5*l + 3*s - 26 = 65. What is the remainder when 2292 is divided by l?
12
Let n = 1466 + -1140. What is the remainder when n is divided by 106?
8
Suppose -14*x - x = -360. Suppose 8*f = 120 - x. Let b = -55 - -77. What is the remainder when b is divided by f?
10
Let w = 62 + -38. Let p = w + -24. Suppose p = -3*i + 6*i - 162. What is the remainder when i is divided by 19?
