t i(p) = 0. Calculate p.
-1, 0, 1/2, 1
Let o = -161/90 - -17/9. Let h(q) be the second derivative of -1/42*q**7 + 0 + q + 0*q**2 + 0*q**6 + o*q**5 - 1/6*q**3 + 0*q**4. Factor h(u).
-u*(u - 1)**2*(u + 1)**2
Let i(p) be the third derivative of -2/45*p**5 + 0*p**4 + 0 + 0*p + 0*p**3 - 5/112*p**8 + 1/15*p**7 + 1/90*p**6 - p**2. Let i(w) = 0. Calculate w.
-2/5, 0, 2/3
Let d(i) be the first derivative of -i**6/2 + 6*i**5/5 - 2*i**3 + 3*i**2/2 + 6. Factor d(o).
-3*o*(o - 1)**3*(o + 1)
Suppose -12 = -2*g + k, g - 18 = -2*g - k. Let r(j) be the third derivative of 1/24*j**4 + 0*j + 1/60*j**5 - 1/120*j**g + 2*j**2 - 1/6*j**3 + 0. Factor r(l).
-(l - 1)**2*(l + 1)
Find a, given that 6/5*a**3 + 0 + 16/5*a**2 + 8/5*a = 0.
-2, -2/3, 0
Suppose 4*j - 7 = 13. Let u(l) be the third derivative of 1/630*l**7 + 1/18*l**4 + 0*l + 0*l**3 + l**2 + 0*l**j - 1/120*l**6 + 0. Let u(s) = 0. What is s?
-1, 0, 2
Let a = -2 - -9. Let t = a - 5. Factor 7*s**2 - 3*s**2 - 2*s**t + 2*s**3.
2*s**2*(s + 1)
Let k(n) = -2*n + 3. Let l(d) = 3*d - 4. Let x(r) = 7*k(r) + 6*l(r). Let y be x(2). Factor -1/2*b**y + 0 + 0*b**2 - 1/2*b**3 + 0*b + b**4.
-b**3*(b - 1)**2/2
Let w = 80 - 56. Let i = 24 - w. Factor i*z + 2/5 - 2/5*z**2.
-2*(z - 1)*(z + 1)/5
Suppose -4*g - 9 = -2*x + 13, -2*x - 3*g = -57. Let p be -2 - 1 - x/(-6). Factor 0 + 0*c - p*c**2.
-c**2/2
Let x(u) = -u**3 + 5*u**2 - 4*u. Let h be x(4). What is q in -1/5*q**5 + 1/5*q**4 + 0*q**3 + 0*q + 0 + h*q**2 = 0?
0, 1
Let o(p) = p**3 - 8*p**2 + 6*p + 1. Let i be o(7). Let g = i - -10. Factor -2/3*n**g + 0*n + 4/3*n**3 + 0 - 2/3*n**2.
-2*n**2*(n - 1)**2/3
Let r(x) be the second derivative of x**7/294 + 2*x**6/35 + 27*x**5/70 + 9*x**4/7 + 27*x**3/14 + 7*x. Factor r(o).
o*(o + 3)**4/7
Let z(s) = 3*s**2 - 13*s + 2. Let k(h) = 2*h**2 - 14*h + 2. Let q(j) = -5*k(j) + 6*z(j). Factor q(b).
2*(2*b - 1)**2
Suppose 4*x = 4 - 0. Let f(u) = 2*u**3 + u. Let k be f(x). Find h, given that 3*h**3 - 2*h**k - 2*h**2 + h**2 = 0.
0, 1
Let a = 14 + -50. Let n = a - -36. Find g such that n - 1/4*g**2 + 1/4*g**4 - 1/2*g**3 + 1/2*g = 0.
-1, 0, 1, 2
Let w(y) be the first derivative of -y**6/105 + y**4/7 - 8*y**3/21 + 3*y**2/7 - 5*y - 5. Let q(m) be the first derivative of w(m). Factor q(b).
-2*(b - 1)**3*(b + 3)/7
Let c(i) = -5*i**3 + 17*i**2 + 13*i. Let x(t) = t**3 - 4*t**2 - 3*t. Let l = -75 + 45. Let y = 12 + l. Let u(p) = y*x(p) - 4*c(p). Factor u(r).
2*r*(r + 1)**2
Let i(z) be the first derivative of 0*z + 1/12*z**3 + 4 + 1/4*z**2. Find q such that i(q) = 0.
-2, 0
Let a(p) be the first derivative of -p**3/21 - 2*p**2/7 - 8. Factor a(l).
-l*(l + 4)/7
Let l(f) be the third derivative of 0*f**3 - 1/36*f**4 - 7*f**2 + 1/90*f**5 + 0*f + 0. Factor l(y).
2*y*(y - 1)/3
Suppose 15 = 5*c - 20. Let j be c/42*(2 - -1). Factor 0*v + j*v**2 - 1/2.
(v - 1)*(v + 1)/2
Let z(b) = b**2 + 3*b + 8. Let m be z(4). Let i = 110/3 - m. Find a such that i*a + 0 + 2/3*a**3 + 4/3*a**2 = 0.
-1, 0
Let k = -1594/7 + 228. Suppose 0 - k*j**2 + 2/7*j = 0. Calculate j.
0, 1
Let l(z) be the second derivative of -z**8/1120 - z**7/1260 + z**6/180 - 5*z**4/12 + 3*z. Let v(g) be the third derivative of l(g). Factor v(o).
-2*o*(o + 1)*(3*o - 2)
Let p be 12/10 - (-1)/(-1). Let u(c) be the second derivative of -2*c + 1/75*c**6 - 1/15*c**4 + 0*c**3 + 0 + 0*c**5 + p*c**2. Factor u(a).
2*(a - 1)**2*(a + 1)**2/5
Let o(t) be the third derivative of -t**8/12 - 17*t**7/42 - 17*t**6/24 - 5*t**5/12 + 5*t**4/24 + t**3/3 - 7*t**2. Let o(f) = 0. What is f?
-1, -2/7, 1/4
Let t = -75 + 301/4. Let r = -231/4 - -58. Determine l, given that 0*l**2 + t*l + 0 - r*l**3 = 0.
-1, 0, 1
Factor 0 + 3/2*v**3 - 3/2*v**4 + 0*v + 0*v**2.
-3*v**3*(v - 1)/2
Let v(g) be the third derivative of g**11/831600 - g**9/75600 + g**7/12600 + g**5/60 + g**2. Let s(q) be the third derivative of v(q). What is k in s(k) = 0?
-1, 0, 1
Let w(g) be the first derivative of -2*g**5 + 3*g**4 + 8*g**3/3 - 6*g**2 + 2*g - 14. Solve w(l) = 0 for l.
-1, 1/5, 1
Let z(t) be the third derivative of t**8/168 + 2*t**7/105 - t**6/60 - t**5/15 + 6*t**2. What is r in z(r) = 0?
-2, -1, 0, 1
Let x(o) = 29*o**3 + 19*o**2 - 40*o - 8. Let c(l) = 14*l**3 + 10*l**2 - 20*l - 4. Let r(v) = 11*c(v) - 6*x(v). Solve r(m) = 0.
-1, -1/5, 1
Let d = -427 + 430. Determine q, given that 12 - 3/2*q**d + 6*q - 3*q**2 = 0.
-2, 2
Let l(q) = -180*q**3 - 209*q**2 - 51*q + 11. Let t = 3 + -5. Let n(j) = 36*j**3 + 42*j**2 + 10*j - 2. Let f(k) = t*l(k) - 11*n(k). Factor f(h).
-4*h*(h + 1)*(9*h + 2)
Let d(r) be the third derivative of -r**6/60 - r**5/10 + r**4/12 + r**3 - 8*r**2. Factor d(h).
-2*(h - 1)*(h + 1)*(h + 3)
Let p(f) = -f + 10. Let h be p(8). Let b(u) be the third derivative of 0 + 0*u + 1/80*u**6 - 1/105*u**7 + 1/120*u**5 + 0*u**4 - u**h + 0*u**3. Factor b(n).
-n**2*(n - 1)*(4*n + 1)/2
Let k(t) be the second derivative of -7*t**5/60 - t**4/4 + 2*t**3/3 + 2*t**2/3 - 6*t. Solve k(d) = 0 for d.
-2, -2/7, 1
Let t be ((-55)/15 - -4)*6. Let v be t - (0 - 0)/(-1). Factor 1/2*i**3 - 3/2*i**v + i + 0.
i*(i - 2)*(i - 1)/2
Let m(q) = 12*q**2 + 4*q - 10. Let n(l) = -10 + 0*l + 0*l + 9 + l**2. Let d = 0 - 1. Let w(t) = d*m(t) + 10*n(t). Factor w(g).
-2*g*(g + 2)
Suppose 0 = 102*s - 98*s - 12. Let n(v) be the first derivative of 0*v + v**2 + 1/3*v**s - 3. What is l in n(l) = 0?
-2, 0
Let a(r) = -3*r - 4. Let d = -3 + 0. Let j be a(d). Factor j*i**3 + 0*i**2 + 2*i**2 + i - 4*i**3.
i*(i + 1)**2
Factor 0*s - 4/5*s**2 + 0 - 8/5*s**4 - 2*s**3 - 2/5*s**5.
-2*s**2*(s + 1)**2*(s + 2)/5
Solve -11/4*s - 1/4*s**3 - 5/4 - 7/4*s**2 = 0 for s.
-5, -1
Let q(j) be the third derivative of -2*j**7/735 + j**6/84 - 2*j**5/105 + j**4/84 - 11*j**2. Factor q(p).
-2*p*(p - 1)**2*(2*p - 1)/7
Let c(k) be the second derivative of -k**7/63 + k**6/18 + k**5/20 - 2*k**4/9 - 2*k**3/9 - 28*k. Determine v, given that c(v) = 0.
-1, -1/2, 0, 2
Let k be (16/350)/((-16)/(-80)). Let b(n) be the second derivative of 2/7*n**2 - n - k*n**5 + 4/7*n**4 + 5/7*n**3 + 0. Factor b(p).
-2*(p - 2)*(4*p + 1)**2/7
Suppose 0 = -7*t + 11*t. Let d(o) be the third derivative of -1/70*o**7 + t*o + 0*o**5 + 0*o**4 + 0*o**3 + o**2 + 1/40*o**6 + 0. Factor d(b).
-3*b**3*(b - 1)
Let i(m) = -m**3 + 2*m - 1. Let p be i(1). Suppose -2*g + 4 = -p*g. Let -12*h**3 + 6*h**4 - 5*h**5 + 8*h**2 - 2*h + g*h**4 + 3*h**5 = 0. What is h?
0, 1
Let y(c) be the third derivative of -c**6/160 - 7*c**5/240 + 3*c**4/16 - c**3/3 - 25*c**2. Factor y(a).
-(a - 1)*(a + 4)*(3*a - 2)/4
Let r(c) = -c**2 + 12*c - 7. Let v be r(11). Let u(h) be the second derivative of -1/18*h**v - 4/9*h**3 - 4/3*h**2 - 3*h + 0. Suppose u(m) = 0. Calculate m.
-2
Let k(q) = -q**3 + 3*q**2 + q - 1. Let c be k(3). Let y(x) be the second derivative of 0*x**2 + c*x - 1/6*x**4 + 0 + 1/3*x**3. Determine t, given that y(t) = 0.
0, 1
Suppose 5*v + 8 = v. Let i be -2*((-21)/6 - v). Find g such that g**2 + 0*g - 4*g**i + 7*g - 3*g - 1 = 0.
-1, 1/4, 1
Let y(n) be the first derivative of -n**5 - 5*n**4/2 + 5*n**3/3 + 5*n**2 + 2. Find v, given that y(v) = 0.
-2, -1, 0, 1
Let h = -8 - -10. Factor h*x - 2*x**5 + x**2 - 41*x**4 + 37*x**4 + 3*x**2.
-2*x*(x - 1)*(x + 1)**3
Let d(g) be the third derivative of -g**7/5 + 13*g**6/30 - 19*g**5/210 - 5*g**4/21 + 4*g**3/21 + 4*g**2. What is q in d(q) = 0?
-1/3, 2/7, 1
Let w be 1*3 + (-8)/4. Factor 2*o**3 + 0 + 2*o**2 - 1 - 2*o - w.
2*(o - 1)*(o + 1)**2
Let l(j) be the first derivative of 2*j**5/15 + j**4/4 - j**3/3 + j**2/2 - 2. Let t(o) be the second derivative of l(o). Suppose t(x) = 0. Calculate x.
-1, 1/4
Let i = -128/35 - -24/5. Let k be (20/14 - 0)*1. Solve -16/7 + 12/7*b**2 - k*b**3 + 2/7*b**4 + i*b = 0 for b.
-1, 2
Solve 23/2*t**2 + 9/4*t**4 + 9/4 - 1/4*t**5 - 33/4*t - 15/2*t**3 = 0 for t.
1, 3
Let g be (12/(-18))/(2/15). Let a be (-2)/(-4)*(-2)/g. Solve a*h**4 + 0*h**2 - 2/5*h**3 + 2/5*h - 1/5 = 0 for h.
-1, 1
Factor -1/2*z**2 + 3/4*z**4 + 0 + 0*z + 1/4*z**3.
z**2*(z + 1)*(3*z - 2)/4
Solve 6/13*m - 2/13*m**3 + 0*m**2 + 4/13 = 0 for m.
-1, 2
Let 15*n**4 + 48*n**3 - 93*n**2 - 190*n + 29*n + 5*n + 6*n**4 - 36 = 0. Calculate n.
-3, -1, -2/7, 2
Let i(j) = -6*j**5 + 3*j**4 - 9*j**2 + 3*j - 3. Let m(l) = -l**5 - l**4 - l**2 - 1. Let v(o) = -i(o) + 3*m(o). Factor v(g).
3*g*(g - 1)**3*(g + 1)
Factor 0*b + 4/11*b**2 + 0 + 2/11*b**3 - 2/11*b**4.
-2*b**2*(b - 2)*(b + 