8)/(-12)). Suppose 5*h + 3*n = 30, -3*h - a*n - 13 = -37. Find q, given that 6/13*q + 4/13 - 2/13*q**4 - 2/13*q**2 - 6/13*q**h = 0.
-2, -1, 1
Let y = 11295/1498 - 30/749. Let k(q) be the second derivative of -5/3*q**3 + y*q**2 - 7*q - 5/12*q**4 + 0. Factor k(i).
-5*(i - 1)*(i + 3)
Let p = 4476 + -4472. Let w(f) be the first derivative of -3/22*f**p + 1/11*f**2 + 0*f**3 - 12 - 4/55*f**5 + 0*f. Factor w(z).
-2*z*(z + 1)**2*(2*z - 1)/11
Let b(o) = 3*o**3 + 23*o**2 - 1564*o - 176. Let x(s) = s**3 + 8*s**2 - 521*s - 64. Let p(q) = 4*b(q) - 11*x(q). Factor p(h).
h*(h - 21)*(h + 25)
Let v(q) be the third derivative of q**6/40 + 7*q**5/4 + 31*q**4/2 + 16*q**2 + 5*q + 20. Let v(k) = 0. What is k?
-31, -4, 0
Let a(s) be the third derivative of -s**5/15 + 109*s**4/3 - 23762*s**3/3 + 5778*s**2. Find d such that a(d) = 0.
109
Let a(r) be the first derivative of -r**4/10 - 1104*r**3/5 - 914112*r**2/5 - 336393216*r/5 + 2434. Factor a(y).
-2*(y + 552)**3/5
Let j = 60298451/2297084 - -1/574271. Find q, given that j*q - 3/4*q**3 + 27/2 + 12*q**2 = 0.
-1, 18
Let b(l) = 105*l**2 - 1679*l + 4. Let q(c) = -183*c**2 + 3359*c - 7. Let u(r) = 7*b(r) + 4*q(r). Solve u(i) = 0 for i.
-561, 0
Let w(p) = -35*p**2 + 336*p + 2367. Let g(s) = 8*s**2 - 84*s - 590. Let h(b) = 18*g(b) + 4*w(b). Determine k, given that h(k) = 0.
-6, 48
Let t = 16828/3 - 5609. Let f(c) be the third derivative of 0*c + t*c**4 + 2/3*c**3 + 0 - 8*c**2 + 1/15*c**5. Solve f(s) = 0 for s.
-1
Let m(r) = r**2 - 109*r + 717. Let w be m(7). Let q be (1 - -1) + 24/3. Suppose 3*x**5 + 2*x**5 - w*x**5 - q*x**4 = 0. Calculate x.
0, 5
Let i be 0 + 5 + -3 - (-2)/1. Suppose 15*k**5 - 45*k**3 + 0*k**3 + 30*k - 35*k**i - 298*k**2 + 333*k**2 = 0. Calculate k.
-1, -2/3, 0, 1, 3
Suppose 2*l + 217 = 3*l. Suppose 675 = 5*b + 5*z, -5*z - l - 172 = -3*b. What is d in 38*d + b + 2 + 4*d - 15*d**2 - 5*d**3 + 3*d = 0?
-3, 3
Let i(k) be the third derivative of k**5/270 + 64*k**4/27 + 85*k**3/9 + 597*k**2. Solve i(v) = 0.
-255, -1
Let v be (-12 + -2)*(-5 - (-165)/35). Suppose 26 = 4*h + 10, 2*p = -v*h + 22. Find j, given that -2/7*j + 10/7 - 10/7*j**2 + 2/7*j**p = 0.
-1, 1, 5
Let u = 238 + -152. Suppose -u*i = -94*i + 16. Factor -1/10*n**3 + 0*n - 1/10*n**i + 0.
-n**2*(n + 1)/10
Let a(p) be the second derivative of p**7/35 + 2*p**6/75 - 33*p**5/50 - 38*p**4/15 - 4*p**3 - 16*p**2/5 - 188*p. Determine x, given that a(x) = 0.
-2, -1, -2/3, 4
Let h(n) = -20*n**2 - 6777*n + 11410891. Let v(a) = 17*a**2 + 6774*a - 11410890. Let f(s) = -6*h(s) - 7*v(s). Factor f(t).
(t - 3378)**2
Let j(y) be the third derivative of -y**5/20 + 163*y**4/8 - 81*y**3 + 305*y**2. Solve j(b) = 0 for b.
1, 162
Let r(s) be the first derivative of -s**4 + 44*s**3/3 + 28*s**2 - 96*s + 1256. Solve r(x) = 0 for x.
-2, 1, 12
Let l(s) be the third derivative of 25*s**8/336 + 38*s**7/21 - 5*s**6/24 - 19*s**5/3 - 3*s**2 - 3*s + 4. Suppose l(d) = 0. What is d?
-76/5, -1, 0, 1
Let j(u) be the third derivative of 0*u + 37/6*u**4 - 28/3*u**3 + 1/12*u**8 - 88/105*u**7 + 0 + 58/15*u**5 - 22/15*u**6 + 107*u**2. Let j(o) = 0. What is o?
-1, 2/7, 1, 7
Let y(c) be the second derivative of -c**7/189 + 8*c**6/135 + c**5/10 - 4*c**4/3 - 5*c - 772. Solve y(x) = 0 for x.
-3, 0, 3, 8
Let n(h) = 20*h**3 - 42*h**2 + 10*h + 54. Let r(q) = 105*q**3 - 212*q**2 + 51*q + 269. Let m(l) = 22*n(l) - 4*r(l). Factor m(b).
4*(b - 2)*(b + 1)*(5*b - 14)
Let w be (4/6 + 8/24)*2. Find s such that -18 - s**w + 9*s + 52 - 42 + 0*s**2 = 0.
1, 8
Factor 59*s**3 - 8*s**3 - 42 + 65*s**3 - s**5 + 46*s**3 + 167*s - 248*s**2 - 38*s**4.
-(s - 1)**4*(s + 42)
Let v = 817 - 817. Let v*t**2 - 6 + 83*t - 3*t**3 + 9*t**2 - 3*t**2 - 80*t = 0. What is t?
-1, 1, 2
Suppose -3*a + 5*a = 2*u - 2, 0 = 3*u - 4*a + 1. Let j = -2 + u. Factor -10 - 5*x**4 - 5*x**2 - 15*x + 16 + 15*x**j + 4.
-5*(x - 2)*(x - 1)**2*(x + 1)
Let a be -11*(-3)/33*3. Let d(z) be the third derivative of 0*z**4 - 1/20*z**5 + 0*z + 1/2*z**a - 20*z**2 + 0. Suppose d(n) = 0. What is n?
-1, 1
Let r(v) be the first derivative of -2*v**5/15 + 3*v**4/2 - 6*v**3 + 29*v**2/2 - 22. Let x(k) be the second derivative of r(k). Factor x(f).
-4*(f - 3)*(2*f - 3)
Let a(j) = 518*j**2 + 229*j - 102. Let x be (50/(-15))/5*3. Let b(g) = -104*g**2 - 46*g + 20. Let t(u) = x*a(u) - 11*b(u). Factor t(m).
4*(3*m + 2)*(9*m - 2)
Let z be 1 - 10/(-35)*2/(-4). Let p be -1*4 + -15*(-16)/40. Factor 0 + 6/7*l**3 + 2/7*l**4 + z*l**p + 2/7*l.
2*l*(l + 1)**3/7
Factor 25/4*o**3 + 0 + 18*o**4 + 1/2*o**2 + 0*o.
o**2*(8*o + 1)*(9*o + 2)/4
Let n(v) be the first derivative of 2/25*v**5 - 8/5*v**2 - 6/5*v - 4/5*v**3 + 150 + 0*v**4. Factor n(h).
2*(h - 3)*(h + 1)**3/5
Suppose 0 = 3*c + 5*x + 126, 4*x = 5*c - 26 + 236. Let w(s) = 8*s + 339. Let l be w(c). What is i in 2/7*i**l + 4/7 - 2/7*i - 6/7*i**2 + 2/7*i**4 = 0?
-2, -1, 1
Let u(b) be the first derivative of b**5/360 - b**4/72 - 5*b**3/12 + 3*b**2 - 4*b + 56. Let q(c) be the second derivative of u(c). Factor q(p).
(p - 5)*(p + 3)/6
Let q(h) be the second derivative of 166*h - h**2 - 7/12*h**3 + 0 + 1/120*h**6 - 1/16*h**4 + 1/20*h**5. Suppose q(l) = 0. What is l?
-4, -1, 2
Let k(d) = 7*d + 3*d + 8 + 11*d**2 + 10*d**2 - 19*d**2. Let x(v) = -v**2 - v. Let z(f) = 5*k(f) + 5*x(f). Factor z(i).
5*(i + 1)*(i + 8)
Find b such that -160/9*b**5 - 142/9*b - 784/9*b**4 - 122*b**3 - 604/9*b**2 - 4/3 = 0.
-3, -1, -2/5, -1/4
Let s be (-4 - -3)*-5 + (-1834)/21. Let d = s + 85. What is q in -2/3*q**3 - 8/3*q + d*q**2 + 0 = 0?
0, 2
Let o(g) be the first derivative of -4*g**3/15 - 644*g**2/5 - 103684*g/5 - 26. Factor o(l).
-4*(l + 161)**2/5
Let l be 5 + (-1 - 5) + 33/(-12) - -4. Let j(y) be the second derivative of l*y**4 + 0*y**2 + y**3 + 0 - 3/20*y**5 + 16*y. Factor j(f).
-3*f*(f - 2)*(f + 1)
Suppose -4335*y = -4348*y + 39. Let k(h) be the second derivative of -1/21*h**4 + 0*h**2 - 17*h + 0 + 0*h**y + 1/70*h**5. Factor k(u).
2*u**2*(u - 2)/7
Let x(r) be the first derivative of r**4/12 - 88*r**3/9 + 2021*r**2/6 - 3698*r/3 - 1583. Factor x(o).
(o - 43)**2*(o - 2)/3
Let q(v) be the first derivative of -2/7*v**2 - 1/21*v**3 + 2 + 0*v. Factor q(t).
-t*(t + 4)/7
Let i(w) be the first derivative of 2*w**3/9 - 9*w**2 - 116*w/3 - 1586. Factor i(z).
2*(z - 29)*(z + 2)/3
What is w in 29/2*w**4 + 401/2*w**2 - 15 - 477/2*w**3 + 49/2*w + 14*w**5 = 0?
-5, -2/7, 1/4, 1, 3
Determine z, given that 320/3 + 3356/9*z - 14/9*z**2 = 0.
-2/7, 240
Let y be ((-3)/(-2) + 1)/(6470/1941). Suppose -24*s - 96 + 21/2*s**2 - y*s**3 = 0. What is s?
-2, 8
Let x(p) = -2*p**3 - 3*p**2 - 3*p + 4. Let b be x(-2). Let -2*z**2 - 10*z**3 - 2*z**2 - b*z**4 + 36*z**3 - 44*z**5 = 0. Calculate z.
-1, 0, 2/11, 1/2
Let j(t) be the third derivative of t**6/120 - 4*t**5/15 + 61*t**4/24 - 11*t**3 - 3475*t**2. Determine z, given that j(z) = 0.
2, 3, 11
Let u be 5 + (135837/(-1008))/27. Let z(f) be the second derivative of 0*f**3 + 5*f + 1/120*f**6 + 0*f**5 - u*f**7 + 0*f**2 + 0 + 0*f**4. Factor z(l).
-l**4*(3*l - 2)/8
Let y(h) be the third derivative of 20 - 1/180*h**5 + 0*h + 5/144*h**4 + 5/6*h**3 - h**2 - 1/2160*h**6. Let p(q) be the first derivative of y(q). Factor p(l).
-(l - 1)*(l + 5)/6
Factor -4/7*y + 0*y**3 + 1/7*y**4 - 9/7*y**2 + 12/7.
(y - 3)*(y - 1)*(y + 2)**2/7
Let y = 76570 + -76565. Factor j**3 - 3/4*j + 0*j**4 - 1/4*j**y + 1/2 - 1/2*j**2.
-(j - 1)**3*(j + 1)*(j + 2)/4
Let d(k) = -2*k + 21. Let h be d(3). Factor 7*f + 11*f - 6*f**4 + f**5 + 12*f**3 + 0*f**4 - 10*f**2 - h*f.
f*(f - 3)*(f - 1)**3
Let -19360/3 - 9730/3*q**2 - 160/3*q**4 - 22880/3*q - 1865/3*q**3 - 5/3*q**5 = 0. What is q?
-11, -4, -2
Let m(o) be the second derivative of -o**5/20 + o**4/6 + 14*o**3 - 180*o**2 + 672*o. Factor m(i).
-(i - 6)**2*(i + 10)
Let x = 7527011/19 + -396145. Let 422/19*a**2 - 234/19*a + 36/19 - x*a**3 + 32/19*a**4 = 0. Calculate a.
1/4, 3/4, 1, 6
Let i be ((-160)/(-480))/(1/32). Suppose -16/3*x**3 - 16*x**2 - i - 64/3*x - 2/3*x**4 = 0. What is x?
-2
Let o(a) = -a**3 + 12*a**2 + 16*a + 45. Let i be o(13). Let f be 4*(18/56)/(i/98). Factor -2*d + 2*d**3 + 3/2*d**2 - f.
(d - 1)*(d + 1)*(4*d + 3)/2
Let d(b) = b**2 - 23*b - 4. Let f(w) = w**2 + w - 1. Suppose 0 = -2*v + 9*v + 28. Let r(i) = v*f(i) + d(i). Factor r(z).
-3*z*(z + 9)
Let z(d) = -2*d**3 + 21*d**2 + 182*d - 91. Let n be z(-6). Determine k so that 2