/7*q + 4/7*q**5 - 8/7*q**2 - 16/7 = 0. Calculate q.
-4, -1, 1
Let 24/13*k + 22/13*k**2 - 2/13*k**3 + 0 = 0. Calculate k.
-1, 0, 12
Let z(s) be the first derivative of -37/5*s**5 - 21/4*s**4 + 2*s**2 + 7*s**6 + 0*s - 9 + 4*s**3. Determine r so that z(r) = 0.
-1/2, -2/7, 0, 2/3, 1
Suppose -4*r - 1 = -5*r. Let a be (-40)/4*1/(-2). Solve r - 5 - g**a + 2*g**4 - g**3 + 4 = 0 for g.
0, 1
Find n, given that 3/8*n**5 - 13/8*n**3 + 0*n + 0 - 1/2*n**4 - 3/4*n**2 = 0.
-1, -2/3, 0, 3
Let j(i) be the third derivative of i**8/504 - i**7/105 - i**6/60 + 11*i**5/90 - i**4/6 - 459*i**2. Find l, given that j(l) = 0.
-2, 0, 1, 3
Let s = -100/209 + 2499/418. Find o such that -s*o - 7*o**3 - 2*o**4 + 5/8 + 111/8*o**2 = 0.
-5, 1/4, 1
Let g = 3146/2605 + -4/521. Let b(q) be the first derivative of -7 - g*q**5 + 0*q**2 - 1/3*q**6 - 3/2*q**4 + 0*q - 2/3*q**3. Suppose b(k) = 0. What is k?
-1, 0
Suppose 0 = -21*a + 24*a - 6*q + 12, -a + 11 = 3*q. Factor 4 - 2/3*z**a + 10/3*z.
-2*(z - 6)*(z + 1)/3
Let z(i) be the first derivative of -i**8/14280 - i**7/1785 - i**6/612 - i**5/510 + 14*i**3/3 - 15. Let h(x) be the third derivative of z(x). Factor h(k).
-2*k*(k + 1)**2*(k + 2)/17
Let a(n) be the third derivative of 15*n**2 + 7/12*n**5 - 5/12*n**4 + 5/42*n**7 + 0*n - 5/336*n**8 - 3/8*n**6 + 0*n**3 + 0. Factor a(o).
-5*o*(o - 2)*(o - 1)**3
Suppose 2*l + 5*s + 2 = 0, -35*s + 30*s + 10 = 5*l. Factor 0 + 0*d - 24/11*d**3 - 2/11*d**5 + 12/11*d**l + 16/11*d**2.
-2*d**2*(d - 2)**3/11
Let i be (26 + -20)/(255/10). Determine t, given that -10/17*t - 2/17*t**3 + 8/17*t**2 + i = 0.
1, 2
Let u be 3 - ((-126)/(-56) + (-6)/(-8)). Let b(l) be the first derivative of 0*l**2 + 1/3*l**3 + 3/8*l**6 - 1/2*l**4 + u*l - 3 - 3/20*l**5. Factor b(h).
h**2*(h + 1)*(3*h - 2)**2/4
Let b(c) be the third derivative of c**7/280 - c**6/60 + 3*c**3/2 - 2*c**2 + 21*c. Let y(d) be the first derivative of b(d). Determine l so that y(l) = 0.
0, 2
Let v be 0 - 16/(-4) - (-1 - (-296)/64). Suppose 1/4*k + 0*k**3 + 0 + v*k**2 - 1/8*k**4 = 0. Calculate k.
-1, 0, 2
Let -153*y**3 - 172*y**2 - 16*y**5 + 49*y**4 - 192 + 608*y - 209*y**4 - 315*y**3 = 0. Calculate y.
-4, -3, 1/2
Let c be 5 + -2 + -2 - -1. Suppose 2*d + 3*t = c*t + 11, 3*d - t = 29. Factor 14*u**2 + 2*u - 24*u**2 + d*u**2.
-2*u*(u - 1)
Let x(f) be the second derivative of 2*f**6/45 + 4*f**5/15 + 2*f**4/3 + 8*f**3/9 + 2*f**2/3 - 82*f. Factor x(a).
4*(a + 1)**4/3
Suppose 0 = -d - d + 3*m + 24, 5*d - 65 = 5*m. Factor -89*h + 89*h - d*h**3 - 5*h**4.
-5*h**3*(h + 3)
Let h(p) be the third derivative of p**7/70 + 3*p**6/20 + 3*p**5/5 + 5*p**4/4 + 3*p**3/2 + 122*p**2. Suppose h(x) = 0. What is x?
-3, -1
Let j = 68 + -63. Factor 33*p**3 + 30*p**2 - j*p - 10*p**2 - 53*p**3.
-5*p*(2*p - 1)**2
Suppose -a = -t - 2*a + 1, -4*t + 5*a + 31 = 0. Suppose -2*d = t*n - 4*d, -3*n + 2*d = 0. Factor -2/3*z**2 + n + 2/3*z.
-2*z*(z - 1)/3
Let 14/11*c**3 + 0*c + 2/11*c**4 - 16/11*c**2 + 0 = 0. Calculate c.
-8, 0, 1
Suppose 8505*l = 8518*l - 39. Factor -1/3*m**l - 5/3 - m**2 + 3*m.
-(m - 1)**2*(m + 5)/3
Let w be (-9)/12 + 3/(-2*6). Let y be (-2 + (-9)/(-6))*(-4 + w). Factor 5/2*x**2 - 5/2*x + y*x**3 - 5/2*x**4 + 0.
-5*x*(x - 1)**2*(x + 1)/2
Factor -90*f + 93 - 20*f**2 - 25*f**2 + 42*f**2.
-3*(f - 1)*(f + 31)
Suppose 26*z - 31*z + 16 = -2*k, k + 2*z - 10 = 0. Let u(a) be the first derivative of 3/5*a**5 - 4 + 7/3*a**3 + k*a**4 + 0*a + a**2. Factor u(o).
o*(o + 1)**2*(3*o + 2)
Let y(n) be the second derivative of -n**5/70 + n**3/7 - 2*n**2/7 - 5*n - 20. Let y(q) = 0. Calculate q.
-2, 1
Let h be ((-144)/15)/(-8)*(-10)/(-3). Let z = -11 + 15. Factor -6*b**2 - 6*b**3 + 7*b**4 - 2*b**h - 7*b**z - 2*b.
-2*b*(b + 1)**3
Let l(v) be the third derivative of v**5/420 - 5*v**4/42 + 19*v**3/42 + 141*v**2. Suppose l(x) = 0. What is x?
1, 19
Let d = 1 + -1. Let y(t) = t**2 + 11*t + 20. Let i be y(-10). Determine c, given that 11 - c**2 + d*c**2 - i = 0.
-1, 1
Let f(s) be the first derivative of -s**6/90 + s**5/30 + s**4 + 7*s**3/3 - 7. Let b(t) be the third derivative of f(t). Factor b(n).
-4*(n - 3)*(n + 2)
Let v(w) be the second derivative of 1/39*w**4 + 0*w**2 - 2/195*w**6 + 1/13*w**3 + 1/273*w**7 - 2/65*w**5 + 6*w + 0. Suppose v(f) = 0. Calculate f.
-1, 0, 1, 3
Let g(n) be the third derivative of -5*n**8/224 + 7*n**7/60 + 19*n**6/80 - 41*n**5/120 - 7*n**4/8 - 2*n**3/3 + 69*n**2 + 5*n. Find y such that g(y) = 0.
-1, -2/5, -1/3, 1, 4
Let j = -1 + 44. Find q such that 4*q**2 + 1 - 5 + 2*q - 45*q**3 + j*q**3 = 0.
-1, 1, 2
Let s(x) be the first derivative of 3/16*x**4 + 0*x**2 + 0*x**3 - 2 + 0*x**5 + 0*x - 1/8*x**6. Factor s(q).
-3*q**3*(q - 1)*(q + 1)/4
Let u(s) = 10*s**3 + 12*s**2 + 20*s. Let l(h) = 25*h**3 + 23*h**2 + 40*h. Let z(f) = -3*l(f) + 7*u(f). Suppose z(v) = 0. What is v?
-1, 0, 4
Let g(j) be the third derivative of 0*j + 0*j**4 + 1/900*j**6 + 0*j**5 + 0*j**3 + 35*j**2 + 0. Factor g(x).
2*x**3/15
Let i(y) be the third derivative of -y**5/270 - 13*y**4/108 - 86*y**2. Factor i(o).
-2*o*(o + 13)/9
Let m(z) = -20*z**4 + 592*z**3 + 1164*z**2 + 616*z - 16. Let l(s) = -4*s**4 + 118*s**3 + 233*s**2 + 123*s - 3. Let a(w) = -16*l(w) + 3*m(w). Factor a(t).
4*t*(t - 30)*(t + 1)**2
Let y(z) = -4*z**3 - 2*z**2 + 10*z + 10. Let n be y(-1). Let o(c) be the first derivative of -5*c**3 - 6 - 9*c + 21/2*c**n + 3/4*c**4. What is v in o(v) = 0?
1, 3
What is s in -2/5*s**5 + 2/5 - 4*s**3 - 2*s + 2*s**4 + 4*s**2 = 0?
1
Suppose 3*k - 3 + 0 = 0. Let u be (-1 + 0)/(k/(-3)). Factor 2*n**2 + 4*n**4 + 2*n**2 - n**5 - 6*n**u + 5*n - 4*n - 2*n.
-n*(n - 1)**4
Let y = -13859 + 55437/4. Let -1/4*z**4 + 1/2*z**3 + 0 - y*z**2 + 0*z = 0. What is z?
0, 1
Let z(p) be the third derivative of p**8/20160 + p**7/2520 - p**6/240 - 31*p**5/60 + 32*p**2. Let b(a) be the third derivative of z(a). Factor b(v).
(v - 1)*(v + 3)
Let g be 16/6 + (-1)/(3/(-1)). Factor -115*j - 69*j**2 + 3*j**g + 2*j**3 - 60 + 19*j**2.
5*(j - 12)*(j + 1)**2
Let i(s) = -3*s**2 + 2*s - 1. Let x(t) = 13*t**2 - 1254*t + 97347. Let z(p) = 3*i(p) + x(p). Find g such that z(g) = 0.
156
Let g be 70/(-4)*(6 - 8). Factor 10*j**2 + 5*j**5 + 20*j**4 - 22*j**3 + g*j**3 + 12*j**3.
5*j**2*(j + 1)**2*(j + 2)
Let r(a) be the second derivative of a**6/900 - a**4/60 + 13*a**3/6 + 15*a. Let l(q) be the second derivative of r(q). Factor l(k).
2*(k - 1)*(k + 1)/5
Factor -8/3*y**2 + 0 + 3*y**3 + 0*y.
y**2*(9*y - 8)/3
Let o(v) be the second derivative of 4*v - 3/100*v**5 + 0*v**2 + 0*v**3 + 0 + 1/10*v**4. Suppose o(t) = 0. What is t?
0, 2
Let u(p) be the second derivative of 2*p**7/21 - 4*p**6/15 - 3*p**5/5 + 8*p**4/3 - 8*p**3/3 - 84*p + 3. Factor u(c).
4*c*(c - 2)*(c - 1)**2*(c + 2)
Find d, given that -240 + 118*d - 9*d + 139*d - 28*d - 40*d**2 - 5*d**3 = 0.
-12, 2
Let n(g) = g**4 + g**3 - g**2 - g. Let d(p) = 2*p**4 - 30*p**3 - 22*p**2 + 138*p + 128. Let z(r) = d(r) - 6*n(r). Find a, given that z(a) = 0.
-8, -2, -1, 2
Suppose 20/7 - 24/7*j**2 + 16/7*j**3 - 16/7*j + 4/7*j**4 = 0. Calculate j.
-5, -1, 1
Let a be (-35)/15 + 2/6 - -4. Let i(z) = -z**2 - z. Let k = -6 - -5. Let r(h) = -h**2 - 2*h - 1. Let o(v) = a*i(v) + k*r(v). Factor o(b).
-(b - 1)*(b + 1)
Let j be (0 + -2)*2/2*-13. Determine p, given that 9*p**5 + j*p**4 - 5*p**5 - 4*p - 8*p**2 - 18*p**4 = 0.
-1, 0, 1
Let n be ((-28)/(-70))/(-1 + 12/10). What is k in -4 - 6*k**n - 5*k**2 + 6*k**2 + 4*k + 4*k**2 = 0?
2
Factor -46 - 24*j + 2*j**2 - 11 + 1.
2*(j - 14)*(j + 2)
Let g(q) be the third derivative of 0 + 1/24*q**4 - 1/6*q**3 - 1/120*q**6 + 0*q + 1/60*q**5 - 22*q**2. Determine m so that g(m) = 0.
-1, 1
Let f(b) be the first derivative of -5*b**6/21 - 12*b**5/35 + 2*b**4/7 + 4*b**3/7 + b**2/7 - 62. What is y in f(y) = 0?
-1, -1/5, 0, 1
Let d(p) = -p - 1. Let k be d(-5). Let w = k - 1. Find l such that -l**w - l**3 + 0*l**3 + 2*l = 0.
-1, 0, 1
Let w = 8037/4 + -2007. Factor -w*a**2 - 5/4*a - 1/4 - 1/2*a**4 - 7/4*a**3.
-(a + 1)**3*(2*a + 1)/4
Factor -4*b**3 + 43578*b**4 + 3 - 2*b - 43579*b**4 + 6*b - 2*b**2.
-(b - 1)*(b + 1)**2*(b + 3)
Factor 14*p**4 - 1356*p + 270*p**2 + 41*p**4 - 285*p**3 + 680*p + 636*p.
5*p*(p - 4)*(p - 1)*(11*p - 2)
Let j(k) be the first derivative of -k**5/20 + k**4/4 - k**3/2 + k**2/2 - k/4 - 21. Factor j(p).
-(p - 1)**4/4
Let a = 90 + -86. Suppose 0*h**5 + 39 + 2*h**4 - 2*h**3 + h - a*h**2 - 37 - 4