6 = 0. Let j(t) be the third derivative of 0*t**5 - 1/12*t**4 + 1/60*t**6 + 1/210*t**7 - 2*t**s - 1/6*t**3 + 0 + 0*t. Factor j(m).
(m - 1)*(m + 1)**3
Let p = -17 + 19. Let x(c) be the second derivative of -4/3*c**3 + 0 + 1/6*c**4 + 4*c**p + 2*c. Factor x(g).
2*(g - 2)**2
Determine a so that -3/4*a**3 - 9/4*a + 5/2*a**2 + 1/2 = 0.
1/3, 1, 2
Factor 12/7*a - 2 + 2/7*a**2.
2*(a - 1)*(a + 7)/7
Let v(n) = -2*n**2. Let h(i) = 13*i**2 + 13*i - 12. Let f(w) = 5*h(w) + 35*v(w). Let f(r) = 0. Calculate r.
1, 12
Factor -1/2*c + 7/2*c**5 + 17*c**3 + 8*c**2 + 13*c**4 - 1.
(c + 1)**4*(7*c - 2)/2
Let x(u) be the third derivative of -u**8/1176 - u**7/735 + u**6/210 + u**5/105 - u**4/84 - u**3/21 + 7*u**2. Factor x(h).
-2*(h - 1)**2*(h + 1)**3/7
Let s(n) be the third derivative of -2*n**7/15 + 2*n**6/5 - n**5/5 - n**4/3 - 10*n**2. Factor s(k).
-4*k*(k - 1)**2*(7*k + 2)
Let a be (6/4)/(49/14). Factor -9/7*g**2 - 6/7*g**3 + 0 - a*g.
-3*g*(g + 1)*(2*g + 1)/7
Let c(r) be the first derivative of 0*r + 3/8*r**4 + 0*r**2 - 1/9*r**3 + 3 - 7/30*r**5. Suppose c(n) = 0. Calculate n.
0, 2/7, 1
Let f(c) be the second derivative of c**6/300 + 7*c**5/200 + 11*c**4/120 + c**3/12 - 25*c. Determine v, given that f(v) = 0.
-5, -1, 0
Let u(q) = 14*q**2 - 6*q - 2. Let n be u(-5). Let -54*g + 17 - n*g**3 - 5 + 327*g**2 - 54*g + 147*g**4 = 0. Calculate g.
2/7, 1
Let v(h) = -5*h - 3. Let g be v(3). Let q be 4/(-8) + (-17)/g. Determine m so that -2/9*m + q*m**4 - 4/9*m**2 + 0*m**3 + 0 + 2/9*m**5 = 0.
-1, 0, 1
Let x(a) be the second derivative of -a**7/3780 + a**6/1080 + a**5/90 - a**4/4 + 4*a. Let y(s) be the third derivative of x(s). Factor y(c).
-2*(c - 2)*(c + 1)/3
Let g(o) be the first derivative of -1 - 1/24*o**4 - o - 1/4*o**2 - 1/6*o**3. Let c(i) be the first derivative of g(i). Determine t, given that c(t) = 0.
-1
Let t(v) = 9*v**2 + 4*v - 5. Let l(q) = q**2 - 1. Let j(k) = 5*l(k) - t(k). Find y, given that j(y) = 0.
-1, 0
Let x(g) be the third derivative of g**8/5040 + g**7/2520 - g**6/1080 - g**5/360 - g**3/3 - 3*g**2. Let i(s) be the first derivative of x(s). Factor i(b).
b*(b - 1)*(b + 1)**2/3
Let q be 1/(-3*(-2)/30). Suppose 4*p - 5*p = -q*y + 12, 2*y = 4*p + 12. Let 0 + 2/7*j**y - 2/7*j = 0. What is j?
0, 1
Let w(f) be the third derivative of 0*f**5 + 0*f**4 + 0*f**3 + 0*f**6 + 0 + 0*f + 5*f**2 - 1/525*f**7. Solve w(c) = 0.
0
Solve 1/2*u**2 + 8 - 4*u = 0 for u.
4
Suppose 5*p - 2*p - b = 4, 0 = 2*p + 5*b - 31. Let w be -4 + (-3 - 2 - -11). Determine j so that 2/7*j**4 + 2/7*j**p - 2/7*j - 2/7*j**w + 0 = 0.
-1, 0, 1
Let c(i) = -i**3 + 11*i**2 + i - 7. Let u be c(11). Solve 2*h**3 + h**5 + h**u + h**5 - h**4 + 4*h**4 = 0 for h.
-1, 0
Let b(v) = 7*v**2 - 14*v. Let m(g) = -3*g**2 + 7*g. Let u(o) = 4*b(o) + 9*m(o). Factor u(r).
r*(r + 7)
Factor -6/11*d**2 + 2/11*d**3 - 4/11 + 2/11*d**4 - 10/11*d.
2*(d - 2)*(d + 1)**3/11
Let q(w) be the first derivative of -w**4/6 + 3*w**3/7 - 2*w**2/7 + 4*w - 3. Let k(i) be the first derivative of q(i). Find v such that k(v) = 0.
2/7, 1
Let q(u) be the second derivative of -1/30*u**5 + 0*u**3 - 1/90*u**6 + 0 + 0*u**2 - 5*u + 1/126*u**7 + 0*u**4. Factor q(y).
y**3*(y - 2)*(y + 1)/3
Let v be 9 + (-9 - 20/(-90)). Suppose v*h**2 + 0 - 2/9*h**4 - 4/9*h**3 + 4/9*h = 0. What is h?
-2, -1, 0, 1
Suppose 14*k - 9*k = 0. Factor 0*m + k - 4/5*m**2 - 14/5*m**3.
-2*m**2*(7*m + 2)/5
Let y be 2 - (2/(-9))/(2/(-12)). Factor -2/3*r + 1/3 - 1/3*r**4 + 0*r**2 + y*r**3.
-(r - 1)**3*(r + 1)/3
Factor -9*c**3 - 43*c**2 + 6*c**2 + 22*c - 71*c - 5*c**2.
-c*(3*c + 7)**2
Suppose 0 + 4 = 2*g. Determine z, given that 3*z + 6*z**4 + z**4 - 7*z**2 - 3*z + g*z - 2*z**3 = 0.
-1, 0, 2/7, 1
Let n(v) be the first derivative of v**4/42 + v**3/21 - 5*v - 7. Let y(g) be the first derivative of n(g). Determine o so that y(o) = 0.
-1, 0
Factor 2 - 3*c**2 - 15 - 6*c + 10 + 0.
-3*(c + 1)**2
Let l(u) be the first derivative of 0*u**2 - 1/6*u**4 - 1 - 2/9*u**3 + 0*u. Factor l(h).
-2*h**2*(h + 1)/3
Let c(f) = -5*f**2 - 2*f + 13. Let d(g) = -g**2 - 2*g - 1. Let r(k) = c(k) - 3*d(k). Factor r(v).
-2*(v - 4)*(v + 2)
Find g such that g**2 - 22 - g + 13 + 7 = 0.
-1, 2
Suppose 10*v - 80 = 2*v. Let c = v + -10. Solve 1/2*u**3 + c*u**2 + 0 - 1/2*u = 0 for u.
-1, 0, 1
Let h be (-48)/(-26) + 8/52. Factor -2/11*i**3 + 2/11*i**h + 0 + 0*i.
-2*i**2*(i - 1)/11
Let n = 0 + -6. Let w be ((-16)/n)/(8 + -6). Factor -2/3*j**2 - 2/3 - w*j.
-2*(j + 1)**2/3
Let a(w) = -w**3 + 2*w**2 + w. Let k be a(2). Let v be 11 + -10 - (-2 - -1). Determine p, given that -p - k*p**2 + p + p**v + p = 0.
0, 1
Let z(c) be the third derivative of c**9/12096 + c**8/2240 + c**7/1120 + c**6/1440 + c**3/3 - 3*c**2. Let m(k) be the first derivative of z(k). Solve m(h) = 0.
-1, 0
Let m(f) be the third derivative of -f**5/270 + f**4/108 - 15*f**2. Factor m(s).
-2*s*(s - 1)/9
Let x be (3 + 0/3)*13. Let f = x + -193/5. Solve -2/5*d**2 + f*d + 4/5 = 0.
-1, 2
Suppose -6 = -2*w - 0. Factor 4*f - 4*f**4 + 2*f**5 + 8*f**2 + 7*f - 6*f**w - 3*f.
2*f*(f - 2)**2*(f + 1)**2
Suppose -3*t - 2 = -4*t. Let p = 5 - t. Find q such that 1/2*q**p + 0 + 0*q**2 - 1/2*q = 0.
-1, 0, 1
Let z be ((-144)/28 - -5) + 2/14. Let l(k) be the first derivative of z*k**2 + 0*k + 0*k**3 + 1 + 1/14*k**4. Suppose l(v) = 0. Calculate v.
0
Suppose -5*d + 0 = 5. Let u = 3 - d. Find t, given that -5*t**2 + 12 - 27*t**u + 20*t**2 + 19*t**3 + 17*t**3 - 36*t = 0.
-1, 2/3, 1
Let m(w) be the third derivative of 0*w**3 + 0*w**4 + 0*w**5 + 2/525*w**7 + 0*w - 1/280*w**8 + 1/300*w**6 + 0 + 7*w**2. Factor m(j).
-2*j**3*(j - 1)*(3*j + 1)/5
Let g(l) be the third derivative of 0*l + 0 + 1/30*l**5 + 2*l**2 + 0*l**3 + 0*l**4. Let g(t) = 0. What is t?
0
Let w be 6*(-1 - 15/(-6)). Suppose -5*o = -2*k - w - 1, -3*k - 15 = -o. Solve -2/11*v**5 - 4/11*v**4 - 2/11*v**3 + 0*v**2 + o*v + 0 = 0 for v.
-1, 0
Let o = -4 - -6. Factor 4*f**2 - 2*f**o + 4 - 4*f + f**2 - 2*f**2.
(f - 2)**2
Let v be ((-5)/(-2))/((-35)/(-42)). Factor 2*p**v + 2/5*p**5 + 4/5*p**2 + 0 + 0*p + 8/5*p**4.
2*p**2*(p + 1)**2*(p + 2)/5
Let s(m) be the third derivative of -m**9/151200 + m**8/50400 + m**7/12600 - m**6/1800 - m**5/60 + m**2. Let y(a) be the third derivative of s(a). Factor y(z).
-2*(z - 1)**2*(z + 1)/5
Let i = -26 - -36. Suppose -i = -6*v + v. Factor -v*t**2 + 7*t**3 - 5*t**5 - 3*t**5 - t**3.
-2*t**2*(t + 1)*(2*t - 1)**2
Let g = -456/29 + 17455/116. Let a = 136 - g. Let -1/4 - a*h - h**2 = 0. Calculate h.
-1, -1/4
Let -25*h**2 - 39*h + 15*h**3 + 23*h + 21*h**3 + 810*h**4 - 79*h**2 = 0. What is h?
-2/9, 0, 2/5
Determine r so that -6*r**3 + 8*r - 4*r**4 - 3*r**3 + r**3 + 4*r**2 = 0.
-2, -1, 0, 1
Let b = 28/15 + -74/45. Let b*j**2 + 0 + 8/9*j**4 - 10/9*j**3 + 0*j = 0. Calculate j.
0, 1/4, 1
Let h(i) be the third derivative of 11*i**5/270 - i**4/54 - 2*i**2. Factor h(j).
2*j*(11*j - 2)/9
Let o(f) = -12*f**5 + 22*f**3 - 2*f**2 - 6. Let c(v) = 25*v**5 - v**4 - 43*v**3 + 5*v**2 + 11. Let h(z) = 6*c(z) + 11*o(z). Determine k so that h(k) = 0.
-1, 0, 2/3
Let u(x) be the first derivative of x**7/840 - x**5/40 + x**4/12 + x**3 - 7. Let z(i) be the third derivative of u(i). Factor z(k).
(k - 1)**2*(k + 2)
Factor -3*s**3 + 6*s**3 + 16 - 70*s + 47*s**2 + 3*s**3 + s**3.
(s - 1)*(s + 8)*(7*s - 2)
Let l(p) be the second derivative of 3/20*p**5 - 1/2*p**3 - 3/2*p**2 + 3*p + 1/4*p**4 + 0. Find y such that l(y) = 0.
-1, 1
Let 2/5*w**2 - 4/5*w + 2/5 = 0. Calculate w.
1
Let h = 16 - 9. Suppose -h*t + 3*t + 8 = 0. Solve 9/2 + t*q**2 + 6*q = 0 for q.
-3/2
Let r(i) be the third derivative of -i**5/330 + 4*i**3/33 - 15*i**2. Find o, given that r(o) = 0.
-2, 2
Let v(j) = 10*j**2 - 6*j + 14. Let m(d) = 9*d**2 - 7*d + 13. Let x(n) = -6*m(n) + 5*v(n). Factor x(r).
-4*(r - 2)*(r - 1)
Let m(r) be the first derivative of r**8/420 + r**7/105 + r**6/90 - 5*r**3/3 - 4. Let h(v) be the third derivative of m(v). Suppose h(x) = 0. Calculate x.
-1, 0
Suppose v = -3*k + k + 1, 13 = 2*k - 3*v. What is r in -r**3 + 4*r - 6*r**k + 8 + 2*r**2 + 2*r**2 = 0?
-2, 2
What is f in -160/9*f + 100/9 + 8/3*f**2 + 4/9*f**4 + 32/9*f**3 = 0?
-5, 1
Let v(a) = -a**2 - a. Let f(z) = 2*z**2 - 2. Let n(q) = -2*f(q) - 6*v(q). Factor n(b).
2*(b + 1)*(b + 2)
Let j(c) be the third derivative of -c**6/60 + c**5/10 - c**4/6 - 18*c**2. Determine x so that j(x) = 0.
0, 1, 2
Suppose -1