
5
Suppose 537*q - 519*q - 2538 = 0. Calculate the remainder when 315 is divided by q.
33
Let s = -7985 - -10709. What is the remainder when s is divided by 35?
29
Let h(b) = -2*b**2 - 42*b. Let p be h(-21). Suppose 6*j = 5*y + 7*j - 1940, p = -3*j. Calculate the remainder when y is divided by 17.
14
Let m = -22658 - -22748. Calculate the remainder when m is divided by 43.
4
Let n = 45 + -42. Let i(r) = 2*r**2 - 2*r. Let o be i(n). What is the remainder when 5/(-30)*-253 - 2/o is divided by 11?
9
Let p = -87 + 100. Suppose -p*o + 5*o + 40 = 0. Suppose 3*n - 70 = -5*d, 3*d + o = -7. What is the remainder when 209 is divided by n?
29
Suppose 3*i = -5*u + 72, -27 = -u - 5*i + 5. Suppose 8*p = u*p - 796. Calculate the remainder when p is divided by 51.
46
Suppose 229*w = 27500 - 3455. What is the remainder when w is divided by (4/4)/((-1)/(-31))?
12
Let f = 519 + -182. Suppose 1283 = 22*c + f. What is the remainder when 55 is divided by c?
12
Let t = 7140 - 7010. What is the remainder when 508 is divided by t?
118
Let v(k) be the second derivative of 28*k**3/3 - 21*k**2/2 - 2*k + 4. Calculate the remainder when 63 is divided by v(1).
28
Suppose -m = m - 4*r - 50, m - r = 22. Let s = 381 + -547. Let i = s - -176. What is the remainder when m is divided by i?
9
Suppose -2 - 2 = -4*v. Let x(u) = -4*u + 1. Let c be x(0). What is the remainder when c/(26/(-27) + v) + 0 is divided by 11?
5
Let t(x) = -x**3 + 3*x**2 + 3*x + 6. Suppose 0 = -68*h + 64*h - 12. Let y be t(h). Let z = y + -20. Calculate the remainder when 152 is divided by z.
28
Suppose -4*s - 4*p - 1024 = 0, -4*p + 2*p + 1042 = -4*s. Let o = 275 + s. What is the remainder when 33 is divided by o?
1
Let r = -21511 - -21929. Calculate the remainder when r is divided by 231.
187
Let m = -621 - -629. Calculate the remainder when 122 is divided by m.
2
Calculate the remainder when (-2 + -2578)/(-5)*((-2)/3 + 1) is divided by (54/15)/((-2)/(-10)).
10
Let k(m) = m**3 - 21*m**2 + 22*m - 38. Let w be k(20). Suppose 0 = 2*a - w + 8, 3*t + 9 = 5*a. What is the remainder when 40 is divided by (0 - -7)/(36/t + 5)?
12
Let c be -15*(-12)/36 - (0 - -5). Let g = c - -241. Calculate the remainder when g is divided by 22.
21
Suppose -85*o - 94 + 944 = 0. Calculate the remainder when 4949 is divided by o.
9
Suppose 6*q + 3*p - 327 = 0, -56*p + 54*p - 286 = -5*q. What is the remainder when 341 is divided by q?
5
Suppose -10 - 2 = -3*p, 0 = -2*f + 3*p - 14. Let t be 3*f*155/(-93). Suppose 0*s - t*s = -530. Calculate the remainder when s is divided by 36.
34
Suppose 5*l + 2*g + 0*g - 30 = 0, g = -5. Suppose s - 44 = l. Let r = 61 - s. Calculate the remainder when r is divided by 3.
0
Let b be 46/1 - (-3 + 6 + -6). Let c = b + 15. What is the remainder when c is divided by 17?
13
Let z(w) = 5*w + 61. Let s be z(-10). Suppose -c + s = 4. Calculate the remainder when (-122)/(-5) + (-4)/10 is divided by c.
3
Let z(x) = -26*x**2 + 14 + 9*x + 4*x + 25*x**2. Calculate the remainder when z(10) is divided by 12.
8
Suppose 5*d = 3*z + 25, 25 = -7*z + 3*z + 5*d. Suppose x + 160 = -4*q + 4*x, z = -5*x. Calculate the remainder when 3 + (-4 - q) + -4 is divided by 18.
17
Let j = 481 - -134. Let c = -77 + 264. Calculate the remainder when c is divided by (-15)/(-10) + j/10.
61
Let j be 74/(-10) + -2 + (-2)/(-5). Let b(g) = -g - 14. Let f be b(j). Calculate the remainder when f + (-85)/(-15) + 110/6 is divided by 4.
3
What is the remainder when ((3512916/90)/(-22))/(3/(-5)) is divided by 34?
33
Let z be (-126)/(-10) + 105/(-175). Suppose 0 = -z*s + s + 451. What is the remainder when 49 is divided by s?
8
Let f = 116 - 271. Let n = f + 264. Let g = n - 102. What is the remainder when 13 is divided by g?
6
Suppose 0*v = -5*v, 3*o + v + 156 = 0. What is the remainder when 104 is divided by (-10 - -4)/(2 + o/24)?
32
Suppose 0 = -106*y + 3233 + 8321. Calculate the remainder when y is divided by 15.
4
Let h(i) be the first derivative of i**3/3 + 1. Calculate the remainder when (2 - 1 - (-994)/42)/((-4)/(-18)) is divided by h(4).
15
Let z(g) = -g**3 + 9*g**2 + g + 8. Let o = 69308 - 69273. What is the remainder when z(7) is divided by o?
8
Let t be (-39)/2 + 5/(-10). Let x = -16 - t. Let c(q) = q**3 - 3*q**2 - q - 1. Calculate the remainder when c(x) is divided by 3.
2
Suppose -2*x = -2*q - 0*x + 6, 8 = q + 4*x. Suppose 5*j = 2*l + 241, -2*l = -q*j - 0*l + 194. What is the remainder when j is divided by (1 + -8)*(1 + -2)?
5
Suppose -i - 9 = -10*i. Let c(g) = g**3 - 5*g**2 - 9*g - 20. What is the remainder when i/(2/(-2 + 60)) is divided by c(7)?
14
Suppose a + 46 + 36 = m, -52 = -m - 5*a. Let l = -42 + m. Suppose 25*f = 10*f + 195. What is the remainder when l is divided by f?
9
Let s(d) = 79*d - 7641. Calculate the remainder when 514 is divided by s(103).
18
Suppose 6*r + 2*r - 391 - 1729 = 0. Let t = 136 - 47. What is the remainder when r is divided by t?
87
Suppose 27*r = 302 - 221. Let w(i) = -i**3 + 2*i**2 + i - 1. Let o be w(1). Let v = 4 + o. Calculate the remainder when v is divided by r.
2
Let q(u) = 98*u + 20. Calculate the remainder when 217 is divided by q(0).
17
Calculate the remainder when 7450 is divided by 230*(1/3 - (-22)/495*-3).
44
Suppose -8*t + 5227 = 571. Let n = t - 531. Calculate the remainder when (-4)/(-14) + (-1412)/(-7) is divided by n.
49
Suppose -2 = -2*v, -38*v + 42*v = 5*u - 736. What is the remainder when 4291 is divided by u?
147
Let v(l) = l**3 - 40*l**2 + 125*l - 39. What is the remainder when v(37) is divided by 123?
110
Let t(m) = 8*m - 2. Let c be (-1218)/(-145)*10/(-4). Let p = c - -75. What is the remainder when p is divided by t(2)?
12
Let k(s) = 13*s + 98. Let a = 64 - 61. Suppose 38 = -a*q + 89. What is the remainder when k(-5) is divided by q?
16
Suppose l - 4*t + 34 = 0, -29 = 3*l + 2*t + 101. Let x = 114 + l. Suppose 0*h - 25 = -h. Calculate the remainder when x is divided by h.
22
Let c = -26294 + 26560. What is the remainder when 270 is divided by c?
4
Let m(i) = 3*i**2 + i + 9. Let a be (286 + 1)*(-3 - (2 + -6)). Suppose j - 8*j = -a. Calculate the remainder when m(7) is divided by j.
40
What is the remainder when 769 is divided by 6996/180 - (-8)/60?
28
What is the remainder when -18 + 18 + 1954 - -6 is divided by 37?
36
Let l = -5975 - -6231. What is the remainder when l is divided by 220?
36
Let p be (-2 + 34)*(-12)/24. Calculate the remainder when (-1356)/p + 9/4 + -2 is divided by 33.
19
Let r = 26 + -18. Let f(x) = -5*x - 15. Let p be f(-4). Suppose 4*i + 2*n - 41 = 9, 4*n = -p*i + 70. What is the remainder when i is divided by r?
2
Calculate the remainder when -3*(-4866)/24 - (-9)/12 is divided by 34.
31
Suppose -4*r - 16 = 0, -10 = g - 5*r + 7*r. Let n = -15 - -56. What is the remainder when n - (4 + g + -5) is divided by 16?
12
Calculate the remainder when 907 is divided by 5 + (-266)/49 + ((-3960)/21)/(-6).
8
Suppose -3*x = 2*x - 35. Calculate the remainder when x is divided by -2*(-25)/((-125)/(-10)).
3
What is the remainder when (99429/1656 - (-1)/(-24))/(4/26) is divided by 142?
106
Suppose -m + 12 - 10 = 0. Let x be m/(-7) + 4/28*-12. What is the remainder when 136 is divided by -46*(-3)/(-6)*x?
44
Suppose 4*g = 0, -23 = -4*p + 3*g - 11. Suppose i + 1 = -3*r + 20, -4*i + p*r = -1. Calculate the remainder when 5 is divided by i.
1
Suppose -2*m - 15 = 3*m, -2*b - 2*m = 150. Let h(r) = 15*r**3 - r**2 + 2*r + 3. Let j be h(-2). Let p = b - j. Calculate the remainder when p is divided by 19.
15
Let y(c) = -2*c**3 + 30*c**2 + 35*c + 47. What is the remainder when 938 is divided by y(16)?
83
Suppose 7*l = -30 - 26. Let t(m) = -5*m - 29. Let x be t(l). Calculate the remainder when 43 is divided by 25 - (1/(-2))/(x/(-66)).
21
Suppose -54*d + 209 = -35*d. Suppose q = -0*q - 2*z + 55, 3*q - 200 = z. Let k = q - 12. Calculate the remainder when k is divided by d.
9
Let h = -489 - -1543. What is the remainder when h is divided by 59?
51
Let t be (-2 + (-1)/(-1))*-5. Suppose -4*x = -t*x + 4. Suppose -x*f = f - 90. What is the remainder when 70 is divided by f?
16
Let n = -113 + 116. What is the remainder when n*((-1068)/(-9) - 5) is divided by 38?
37
Let c(w) = -w**3 - 17*w**2 - 91*w - 83. Calculate the remainder when c(-9) is divided by 35.
18
Suppose -v = -26*v + 15950. Suppose 9