-17898)/259521. Find n, given that 0 - 88/7*n**2 + 9/7*n**5 + 66/7*n**4 + x*n + 97/7*n**3 = 0.
-4, 0, 1/3
Let i(u) be the first derivative of u**5/5 - 22*u**4 + 263*u**3 - 351*u**2 - 2367. Factor i(z).
z*(z - 78)*(z - 9)*(z - 1)
Factor -87/2*h + 47/2*h**2 - 135/2 - 1/2*h**3.
-(h - 45)*(h - 3)*(h + 1)/2
Suppose 14 = -0*i + 7*i. Let y be (-9 - -6)*-62*i/3. Let k**2 + 4 + 67*k - y*k + 62*k = 0. What is k?
-4, -1
Let j(o) be the second derivative of -o**5/120 - 11*o**4/24 - 121*o**3/12 - 11*o**2/2 + o - 29. Let u(k) be the first derivative of j(k). Factor u(n).
-(n + 11)**2/2
Let r(b) = b**3 - 9*b**2 + 10*b - 11. Let o be r(8). Factor j**4 - 5*j**3 - o*j**4 + 5*j + 9*j**4 - 5*j**2 + 0*j**4.
5*j*(j - 1)**2*(j + 1)
Let l(q) be the first derivative of q**3 + 5/14*q**2 - 3/4*q**4 + 86 - 1/7*q**5 + 0*q. Factor l(k).
-k*(k - 1)*(k + 5)*(5*k + 1)/7
Let m(z) be the third derivative of -z**7/840 + z**6/160 - z**4/24 - 1030*z**2. Solve m(d) = 0 for d.
-1, 0, 2
Determine r, given that 4*r - 3*r**2 + 3/4*r**4 - 1/8*r**5 - 1/2*r**3 + 0 = 0.
-2, 0, 2, 4
Let d(s) be the second derivative of 8*s**7/21 - 46*s**6/5 + 18*s**5 + 1780*s**4/3 + 1804*s**3 + 2178*s**2 + s - 939. Solve d(y) = 0.
-3, -1, -3/4, 11
Let l(y) = -16875*y**2 + 24161*y - 8685. Let w(j) = 56249*j**2 - 80537*j + 28949. Let k(i) = 46*l(i) + 14*w(i). What is p in k(p) = 0?
38/53
Let g(v) = 8*v**4 - 192*v**3 - 188*v**2 - 4*v + 8. Let y(p) = 9*p**4 - 194*p**3 - 188*p**2 - 5*p + 10. Let z(d) = 5*g(d) - 4*y(d). Factor z(m).
4*m**2*(m - 47)*(m + 1)
Determine u so that -4/5*u**5 + 32/5*u**4 - 32/5*u**2 + 4/5*u**3 + 0 + 0*u = 0.
-1, 0, 1, 8
Suppose 0 = -4*a + p + 11, 3*a - 18 = -2*a - 3*p. Factor 31*v**4 + a*v - 40*v**2 - 6*v**4 - 11*v**4 - 29*v**3.
v*(v - 3)*(v + 1)*(14*v - 1)
Let x be (6/9)/((-4)/6)*-4. Suppose -217*k - t - 75 = -222*k, 2*k - t - 27 = 0. Find j, given that 8/3 + 6*j**5 + 38*j**2 + 134/3*j**3 + k*j + 26*j**x = 0.
-1, -2/3
Let d = -1051 + 1053. Suppose 4*c - 24 = -39*v + 43*v, -d*c - v = -6. Find o such that -9/5*o**2 + 0*o**3 + 3/5*o**c + 0 + 6/5*o = 0.
-2, 0, 1
Let g(x) be the first derivative of -220/3*x**2 + 200/3*x - 11/3*x**4 + 94/3*x**3 + 2/15*x**5 + 20. Determine f so that g(f) = 0.
1, 10
Let w(l) = 26*l - 138. Let p be w(6). Factor -p + 0 + 57*o**2 - 9*o - 113*o**2 + 55*o**2.
-(o + 3)*(o + 6)
Let a be ((-66)/(-15))/((-77)/280*-4). Factor a + 4/7*r**2 - 32/7*r.
4*(r - 7)*(r - 1)/7
Let q be (6/35)/(-11 + 27/(270/116)). Let c be (-40)/(-252)*12 + (-4)/(-6). Factor -c + 12/7*l - q*l**2.
-2*(l - 3)**2/7
Let o(m) be the third derivative of m**5/160 + 243*m**4/32 + 59049*m**3/16 - 752*m**2 - 2*m. Factor o(t).
3*(t + 243)**2/8
Let l(h) be the second derivative of -5*h**4/12 + 2455*h**3/12 - 1225*h**2/4 - 2663*h. What is t in l(t) = 0?
1/2, 245
Let u(c) be the first derivative of c**6/12 + 13*c**5/10 - 47*c**4/8 + 19*c**3/6 + 23*c**2/2 - 16*c - 1029. Solve u(l) = 0.
-16, -1, 1, 2
Let o = -35/29 - -221/87. Let y(r) be the first derivative of -o*r - 20 - 2/9*r**3 + r**2. Factor y(w).
-2*(w - 2)*(w - 1)/3
Let w(d) be the first derivative of 4*d**3/3 - 498*d**2 + 992*d - 3473. Find l such that w(l) = 0.
1, 248
Let j(q) be the first derivative of 8*q**6/3 + 312*q**5/5 - 1647*q**4/4 + 1916*q**3/3 - 669*q**2/2 + 72*q + 9689. Determine c, given that j(c) = 0.
-24, 1/4, 1, 3
Let c = -836 - -843. Let p(d) be the third derivative of -1/80*d**5 + 0 + 0*d**3 - 4*d**2 + 0*d**4 + 1/160*d**6 + 1/280*d**c - 1/448*d**8 + 0*d. Factor p(u).
-3*u**2*(u - 1)**2*(u + 1)/4
Factor -1262918498535 - 8704890*b**2 + 5414441580*b - 5/3*b**4 + 6220*b**3.
-5*(b - 933)**4/3
Let g be (689/(-26) + 26)*8/(-12)*1. Factor 5/3 + 7/3*y**2 - 11/3*y - g*y**3.
-(y - 5)*(y - 1)**2/3
Factor 39/4*i**3 + 1/8*i**4 + 19/2*i**2 - 77/8 - 39/4*i.
(i - 1)*(i + 1)**2*(i + 77)/8
Let r(i) be the second derivative of i**7/14 - i**6/10 - 9*i**5/2 + 8*i**4 + 80*i**3 - 214*i. Factor r(n).
3*n*(n - 4)**2*(n + 2)*(n + 5)
What is m in -118*m**3 + 410*m**3 - 57693 + 52080*m - 21507 - 4*m**4 + 509*m**2 - 7317*m**2 = 0?
2, 11, 30
Let j(w) be the first derivative of -7*w**6/39 + 276*w**5/65 - 499*w**4/26 - 1120*w**3/13 - 1276*w**2/13 - 480*w/13 + 8352. Solve j(n) = 0 for n.
-1, -2/7, 10, 12
Factor 19/3*l**2 + 2 + 4/3*l**3 - 29/3*l.
(l - 1)*(l + 6)*(4*l - 1)/3
Let l(d) = -d**3 - 10*d**2 - 6*d + 6. Let j = -333 - -338. Let m(z) = -10*z**2 - 5*z + 5. Let w(k) = j*l(k) - 6*m(k). Factor w(y).
-5*y**2*(y - 2)
Let u = -8058 + 8063. Let q(c) be the first derivative of 0*c**3 + 9/32*c**4 - 1/16*c**6 + 15 + 0*c + 3/20*c**u + 0*c**2. What is w in q(w) = 0?
-1, 0, 3
Let 44/3*s + 2/9*s**5 + 0 - 14/9*s**3 + 22/9*s**4 - 142/9*s**2 = 0. Calculate s.
-11, -3, 0, 1, 2
Let z(w) be the second derivative of 4/39*w**3 - 1/78*w**4 + 13 + w - 3/13*w**2. Solve z(u) = 0.
1, 3
Let s(j) be the second derivative of 1 + 40/21*j**3 - 1/6*j**4 - 100/21*j**2 + 1/210*j**5 + 18*j. Factor s(u).
2*(u - 10)**2*(u - 1)/21
Let y(f) be the second derivative of 0 + 1/36*f**4 + 28*f + 800/3*f**2 + 40/9*f**3. Factor y(z).
(z + 40)**2/3
Let h(k) be the first derivative of 1/6*k**6 + 10 - 5/6*k**4 + 5/2*k**2 + 10*k + 0*k**5 + 0*k**3. Let o(r) be the first derivative of h(r). Factor o(m).
5*(m - 1)**2*(m + 1)**2
Let f be (3 - (-16)/6)*(-20 - -35 - -2). Let -f - 34/3*d - 1/3*d**2 = 0. Calculate d.
-17
Factor 970*a - 91*a**2 - 42*a**2 + 131*a**2.
-2*a*(a - 485)
Factor -3 + 32085*v + 5*v**2 + 3 - 32835*v.
5*v*(v - 150)
Suppose l = -44*z + 48*z - 21, -l = 5*z - 6. Find i, given that 0 + 3*i**4 - z*i**2 - 2/3*i - 11/3*i**5 + 13/3*i**3 = 0.
-1, -2/11, 0, 1
Let s(k) be the second derivative of k**6/900 + k**5/300 - k**4/30 - k**3/6 + 3*k**2 - 29*k. Let f(b) be the second derivative of s(b). Solve f(t) = 0.
-2, 1
Let l(c) be the third derivative of 9*c**6/160 - 33*c**5/5 + 242*c**4 - 6*c**2 + 49. Suppose l(p) = 0. Calculate p.
0, 88/3
Let l(w) = -w**2 - 25*w + 780. Let y(f) = -7*f. Let v(c) = -2*l(c) + 6*y(c). Solve v(n) = 0 for n.
-30, 26
Suppose v - 3 + 6 = 2*d, -5*v - 4*d = -27. Let i(r) be the third derivative of 10*r**2 - 2*r**4 + 0*r - 24*r**v + 0 - 1/15*r**5. Solve i(f) = 0.
-6
Let n(i) be the third derivative of -i**8/2352 + 2*i**7/735 + 5*i**2 - 17*i. Factor n(g).
-g**4*(g - 4)/7
Factor -632*g**2 - 5920*g**3 + 7*g**5 - 314*g**4 - 11*g**5 + 9430*g**2 + 802*g**2.
-2*g**2*(g + 40)**2*(2*g - 3)
Let s(b) = -50*b**2 - 31*b + 100. Let l be s(6). Let c be l/(-138) - 2*6. Find u such that 0 + 0*u + 5/3*u**2 + c*u**3 = 0.
-1, 0
Let d(s) be the first derivative of -s**3/3 - 71*s**2/2 - 68*s - 459. Let a be d(-1). Factor -32/3*q + 134/3*q**3 - 8/3 + 46/3*q**a + 98/3*q**5 - 238/3*q**4.
2*(q - 1)**3*(7*q + 2)**2/3
Let b be 5 + -6 - (-8 - 3)*1*5/35. Factor -b*y**2 + 96/7 + 92/7*y.
-4*(y - 24)*(y + 1)/7
Let h = 111/8432 - -943/8432. Factor 15/2*a + h*a**3 - 9 - 7/4*a**2.
(a - 6)**2*(a - 2)/8
Suppose -16*i + 88 = -8*i. Factor 5*b + i*b - b**2 - 5*b + 12*b - 6*b + 18.
-(b - 18)*(b + 1)
Let h be 3/12 - 3/(-12)*-1. Let t(s) be the third derivative of -1/9*s**4 + 0*s**3 + h + 0*s - 1/90*s**5 + 6*s**2. Factor t(g).
-2*g*(g + 4)/3
Let o be -4 - (7/4 + -6). Let m(z) be the first derivative of o*z**6 + 1/8*z**4 + 14 + 0*z - 2/5*z**5 + 0*z**3 + 0*z**2. Factor m(u).
u**3*(u - 1)*(3*u - 1)/2
Suppose 5*d + 3*r - 1 = 0, -21*d + 23*d - 2*r = 10. Let o(u) be the first derivative of -8 - 10/7*u - 5/21*u**3 - 27/14*u**d. Factor o(l).
-(l + 5)*(5*l + 2)/7
Suppose 5*h = -2*j - 19 + 208, -5*h + 183 = -j. Suppose -81 = 10*y - h*y. Factor 8/7*o**2 - 20/7*o**y + 20/7*o - 8/7.
-4*(o - 1)*(o + 1)*(5*o - 2)/7
Let d = 34 - 32. Suppose -18 - 4 = -d*k. What is t in 9*t**2 - 11*t + 13*t - 3*t**3 + 3 - k*t = 0?
1
Let y = -1121 - -1123. Let s(q) be the second derivative of -3/100*q**5 + 1/5*q**4 - 3*q + 0*q**y - 3/10*q**3 + 0. Suppose s(x) = 0. Calculate x.
0, 1, 3
Let l = -3548 + 3551. Let y(k) be the second derivative of 0*k**2 + 1/180*k**5 - 2*k + 1/108*k**4 + 0*k**l + 0. Determine j, given that y(j) = 0.
-1, 0
Let i = -30322037/207 + 146482. Let d = -19/23 - i. Solve 2/3*l**4 - 2/3*l - 2/9 + 4/9*l**3 + 2/9*l**5 - d*l**2 = 0 for l.
-1, 1
Let f(u) be the second derivative of u**8/560 - 9*u**7/280 + 8*u**3/3 - 2*u**2 - 190*u. Let k(i) be the second derivative of f(i). Find j such that k(j) = 0.
0, 9
Let f = 3095 + -3093. Let g(m) be the first 