06. Let l = 631 + y. Is 14 a factor of l?
True
Suppose -2*h - 4*g + 160 = 0, g = -3*h - 45 + 295. Let a = h - 79. Suppose a*w = -6*w + 715. Is w a multiple of 13?
True
Let q(k) = 2*k**3 + 28*k**2 + 20*k + 19. Let u be q(-13). Suppose -y + w + u = 0, 421 = 3*y - 2*w + 128. Does 9 divide y?
True
Let h(m) = 48*m**2 + 437 - 8*m + 0*m - 415. Is h(5) a multiple of 22?
False
Let p(c) = -c**3 - 13*c**2 - 16*c - 19. Let f be p(-11). Does 53 divide 14/(-119) + (-18030)/f?
True
Let c(k) = -4*k + 12. Let v be c(4). Let b be 4 - -3*v/(-12). Is 11 a factor of 796/24 - b/30?
True
Is (12738/110)/((-21)/(-140)) a multiple of 6?
False
Let w(z) = -2*z**3 + 87*z**2 + 63*z - 6. Does 17 divide w(38)?
False
Is 33 a factor of (825/12)/(1/12)?
True
Let s(g) be the third derivative of 3*g**6/20 - g**5/10 - g**4/8 - g**2 - 28. Does 46 divide s(2)?
False
Suppose 4*w - 6887 = -4*q + 7*q, 0 = 2*w - q - 3443. Does 14 divide w?
False
Let d = -1656 + 6285. Is d a multiple of 5?
False
Suppose -4*s - 20 = 0, 17 = h - 4*s - 0. Is 53 a factor of 313 - (1 + (h - -2))?
False
Let g be (-6)/(-51) - (-1)/(51/21465). Let h = -119 + g. Is h a multiple of 28?
False
Suppose -165 = -70*t - 25. Let z be 2/(-8) + (-58)/(-8). Suppose t*r + z*r - 360 = 0. Does 4 divide r?
True
Is 1027 + ((-42)/(-24))/(135/(-36) + 4) a multiple of 94?
True
Let b = -1593 - -2239. Does 6 divide b?
False
Let x = -2460 - -3450. Does 6 divide x?
True
Let a = 5795 + -4818. Does 2 divide a?
False
Suppose -97106*p + 97119*p = 12584. Is 2 a factor of p?
True
Let c = 2000 + -1933. Does 2 divide c?
False
Let z(i) = 4*i**2 - i + 2. Let x(h) = -h + 12. Let o be x(9). Suppose -o*b + 5*b = -4. Does 5 divide z(b)?
True
Let x(m) = 15 - 38*m + 70*m + 9 - 4*m. Is x(2) a multiple of 10?
True
Let o be (-2)/26 + (-22105)/(-65). Let x = 640 - o. Is 30 a factor of x?
True
Let a = 26 + -1004. Let c = -323 - a. Is c a multiple of 11?
False
Let t = 16827 - 15325. Does 3 divide t?
False
Let r(j) = 3*j**2 + 6*j + 11. Suppose 3 = 7*x - 11. Suppose -4*t - 2*f = 22, -x*t + 4*f = 3*t + 21. Is r(t) a multiple of 32?
False
Let m = 36 + -192. Suppose -280 = -37*a - 1939 - 1412. Let n = a - m. Does 4 divide n?
False
Let f(b) = 13*b**3 - b**2 + 114. Is f(11) a multiple of 16?
True
Is 16 a factor of ((-6)/(-27) - 284/(-18))/((-17)/(-1904))?
True
Let b(f) = f**3 + 30*f**2 + f - 22. Is 100 a factor of b(-14)?
True
Let h = 67 + -72. Is 47 a factor of 47*h/(20/(-12))?
True
Suppose -22*i = 14*i - 37*i + 579. Does 7 divide i?
False
Suppose 0 = -2*x - s + 11187, 14*s + 16763 = 3*x + 13*s. Is x even?
True
Let f(v) = -12*v - 96. Let w be f(-8). Suppose -3*q - 3*h + 1167 = w, h = 5*q - 0*q - 1915. Does 36 divide q?
False
Suppose -3446 + 16802 = 36*w. Is w a multiple of 39?
False
Let c = -41 - -45. Suppose 4*a + 0*b - b - 21 = 0, 3*a + c*b = -8. Suppose -4*u + 84 = -a*z, -3*z - 17 + 80 = 4*u. Is 2 a factor of u?
True
Let d(i) = 11*i**2 + 9*i + 6. Let h be (-46)/(-161) + 46/(-14). Is d(h) a multiple of 26?
True
Let q(m) be the first derivative of 7*m**2/2 - 134*m - 73. Is q(24) a multiple of 9?
False
Suppose 28 = -5*g + 2933. Is 7 a factor of g?
True
Let i(g) = -3 - 10 - 10 + 76*g - 71*g. Let s be i(6). Suppose -m + 304 = s*m. Is 5 a factor of m?
False
Let h(m) = 2*m**2 + 16*m + 8. Let q be h(-12). Let f = 308 - 150. Let y = f - q. Does 19 divide y?
False
Let x(w) = w**2 - 2*w - 3. Let g be x(-3). Suppose -9*y - g = -13*y. Does 13 divide 18/(-3)*(y - -10)*-1?
True
Let n be ((-57)/(-12) - 4) + (-1269)/12. Let z be 2*(1*n/1)/2. Is z/(-18) + (-1)/(-6) a multiple of 6?
True
Let w(g) = -4*g + 22. Let d be w(21). Let l = d - -62. Suppose 6*v - 5*v - 105 = l. Is 12 a factor of v?
False
Let c = -70 + 136. Suppose 5*z - c = -246. Let j = 80 + z. Is 11 a factor of j?
True
Let p(o) be the second derivative of o**4/6 - 2*o**3 + 6*o**2 + 14*o. Let j(d) be the first derivative of p(d). Is j(6) a multiple of 3?
True
Suppose 1316 = -8*k + 9*k. Suppose 127*b - k = 123*b. Is 47 a factor of b?
True
Let n(q) = -3*q + 31. Let l be n(9). Let y(o) be the first derivative of o**4/2 + o**3/3 - 2*o**2 - 4*o + 3. Is y(l) a multiple of 23?
False
Suppose -w + 7465 = 2*v, 13*v = -w + 17*v + 7441. Does 51 divide w?
False
Let m(t) = 1025*t**2 - 114*t - 566. Is m(-6) a multiple of 223?
True
Let o be (-1)/(1 + (-4)/3). Suppose l = 4*t + 4*l - 1065, o*t - 807 = -5*l. Is 24 a factor of t?
True
Suppose -325632 = -22933*l + 22901*l. Is l a multiple of 106?
True
Suppose 0 = 4*c + 2*f - 578, -c + 0*f = -3*f - 134. Let t = -25 + c. Suppose -2*a + 2*g = -38, -5*a + t = -g + 39. Is 5 a factor of a?
True
Suppose 311*u + 15642 = 282*u + 226356. Is u a multiple of 14?
True
Suppose 6*g - 2025 = -3*g. Suppose 0*q = -5*q + g. Let u = -21 + q. Is u a multiple of 6?
True
Let r(x) = x**2 + x - 8. Suppose 2*f - 4*o = -28, 2*f + 4*o = 2*o + 2. Let j be r(f). Suppose -k = -1, 3*k - 2*k = j*t - 287. Is 7 a factor of t?
False
Let y = 2259 - 2299. Let c(d) = d - 1. Let o be c(-1). Does 19 divide (-110)/y*(-48)/o?
False
Suppose -211257 = -10*a - 15*a + 55793. Is 221 a factor of a?
False
Suppose 0 = 2*s + 3*k - 766, 0*s - 4*k + 1516 = 4*s. Suppose 0*z - 294 = 4*n - 3*z, -2*z - 284 = 4*n. Let j = n + s. Is 13 a factor of j?
True
Is 82 a factor of ((-1743)/6)/(9/(-108))?
False
Let v(s) = -s - 43. Let a be v(-15). Let m = a - -26. Does 30 divide (150/(-10))/(m/24)?
True
Let g(t) = 2*t**3 - 10*t**2 + 22*t + 16. Let x be g(9). Is -2 + 4/1 + x a multiple of 9?
True
Let q(z) = -7*z**3 + 13*z**2 - 17*z - 10. Let f = 87 - 78. Let n(a) = -4*a**3 + 6*a**2 - 8*a - 5. Let x(d) = f*n(d) - 4*q(d). Is 26 a factor of x(-3)?
False
Let m = -15 - -23. Let n be m/6 - 414/27. Does 4 divide n/(-21) - (-232)/12?
True
Let f(z) = -21*z + 923. Is f(-42) a multiple of 95?
True
Suppose 0 = 4*n + 36, -71*o + 75*o - 25524 = 4*n. Is 27 a factor of o?
True
Let p be ((-3 - 0)*(-6 + 3))/1. Let x = p - 6. Suppose t + 2*o = 30, -3*o = -x*t + o + 80. Is t a multiple of 14?
True
Let n(b) = -29*b - 76. Let t be n(11). Let g = -106 - t. Is g a multiple of 17?
True
Let t(y) = y**3 - 9*y**2 + 9*y + 6. Let q = 33 - 39. Let g be -4*((-5)/(-30) + 13/q). Does 3 divide t(g)?
False
Is 8 a factor of 18/2 - (-104 + 109)/((-1)/6619)?
True
Let a be 20 - ((-36)/3)/(-4). Let r = 674 + -660. Suppose -a*v + 504 = -r*v. Is v a multiple of 28?
True
Suppose 3*j = 2*a + 50, 2*a + a = -2*j + 29. Suppose j = 5*r + s, -5*s = -2*s - 3. Suppose 5*k - x + r*x = 255, -5*x + 204 = 4*k. Does 17 divide k?
True
Let d be 6/9 + (-3)/((-18)/314). Suppose -d*y + 44*y = -72. Is y a multiple of 7?
False
Let s = 75 + 1332. Is 67 a factor of s?
True
Let o = -658 + 1023. Is o a multiple of 7?
False
Is 58*((-28)/(-3))/(248/3534) a multiple of 102?
False
Suppose -8*t - 60 = -10*t. Suppose 5*b - 170 = -t. Suppose 23*o = 19*o + b. Is o a multiple of 5?
False
Let l = 242 + -250. Is 3 a factor of (-20)/l*(-246)/(-15)?
False
Is 180 a factor of (378/(-24))/((-78)/7384)?
False
Does 42 divide ((-660)/77 + 6)/((-12)/105882)?
False
Suppose -5*j + 13 = 103. Let t = 20 + j. Suppose -t*h + 3*y + 123 = 0, 4*h + y = 6*y + 245. Does 10 divide h?
True
Let i be (-1744)/(-64) - 1/4. Let d(q) = -2*q**2 + 65*q - 33. Is d(i) a multiple of 33?
True
Suppose -3501*l + 3522*l = 393120. Is 104 a factor of l?
True
Suppose 272*a - 5*l - 398 = 270*a, 0 = 3*a + 3*l - 555. Is 6 a factor of a?
False
Let p = -676 + 1900. Is p a multiple of 6?
True
Let s(t) = -56*t - 330. Is s(-122) a multiple of 2?
True
Let o(v) = 14*v - 1. Let h be -5 + -1 + 27/9. Let a be ((-2)/h + -1)/(7/(-21)). Is o(a) a multiple of 5?
False
Let s(a) = 3*a**2 + 119*a - 243. Is s(-56) a multiple of 61?
True
Suppose 0 = -24*l + 26*l + 3*y - 8294, 3*l = -5*y + 12440. Is l a multiple of 2?
True
Let i be 18/36*(-8)/(-1). Suppose 20 = -i*l + 4*w, -4*w = -7*l + 4*l - 11. Does 2 divide (l/27)/(((-1)/(-1))/(-123))?
False
Suppose 12*u - 13*u = -32. Suppose 37*j - u*j = 720. Is 24 a factor of j?
True
Suppose -4*p - 3*i = -16838, -4*p + 24*i - 26*i = -16840. Is p a multiple of 67?
False
Let g be (-14)/(-77) - 14778/(-33). Suppose -r = g - 484. Does 4 divide r?
True
Let o(n) = 350*n + 349. Is 8 a factor of o(10)?
False
Let k(o) = 10*o**3 - 4*o**2 + 21*o - 23. Does 76 divide k(6)?
False
Let l = -1332 - -2612. Is 20 a factor of l?
True
Suppose -10*w - 2281 - 239 = 0. Is ((-