 u(h) be the third derivative of h**7/315 + h**6/60 - h**5/90 - h**4/12 + 7*h**2. Solve u(l) = 0.
-3, -1, 0, 1
Let t be 6 + 2 + 186/(-30). Factor 3/5*b**4 - 6/5 - 3/5*b**3 + 3*b - t*b**2.
3*(b - 1)**3*(b + 2)/5
Let o(r) be the first derivative of r**7/1260 - r**6/216 + r**5/90 - r**4/72 + 4*r**3/3 - 4. Let u(s) be the third derivative of o(s). Factor u(b).
(b - 1)**2*(2*b - 1)/3
Let r(h) be the third derivative of 3*h**5/20 - 5*h**4/8 + h**3 + 13*h**2. Solve r(a) = 0 for a.
2/3, 1
Let p = 403/268 - 1/268. Factor 9/4*g - 3/2 + 0*g**4 + p*g**2 + 3/4*g**5 - 3*g**3.
3*(g - 1)**3*(g + 1)*(g + 2)/4
Let q(c) = 3*c**4 - 2*c**2. Let j be -2*(-1 - (-11)/2). Let t be 42/9 + -2 - (-4)/(-6). Let w(f) = 13*f**4 - 9*f**2. Let l(k) = j*q(k) + t*w(k). Factor l(m).
-m**4
Let u = 29 + -26. Factor 5 + 1 - u + 75*g**2 + 30*g.
3*(5*g + 1)**2
Let b(w) be the second derivative of w**5/80 + w**4/24 + 2*w. Factor b(t).
t**2*(t + 2)/4
Suppose -3 = -3*k + 3. Suppose k*f - 4*f = -4. Factor -1 + v + 3*v**3 - f*v**2 + 2*v - v**2 - 2*v**3.
(v - 1)**3
Suppose -6 = 2*m - 5*m. Factor -d + m*d**2 + d - d - 3*d.
2*d*(d - 2)
Let s(o) be the second derivative of -1/42*o**4 + o + 1/21*o**3 + 0 + 0*o**2. Factor s(p).
-2*p*(p - 1)/7
Let l(t) be the first derivative of t**6/1080 + t**5/360 - t**4/36 + t**3/3 + 2. Let f(s) be the third derivative of l(s). What is y in f(y) = 0?
-2, 1
Suppose -8*s = -21*s + 52. Suppose 1/5*m**3 + 0 - 1/5*m**s + 0*m + 1/5*m**2 - 1/5*m**5 = 0. What is m?
-1, 0, 1
Suppose -3*p = -d, -3*d + 8*d = 15. Suppose -5*w - p + 21 = 0. Suppose -1 - 2*k**2 - w*k**4 - 3*k + 7*k**4 + 2*k**3 + k**5 + 0*k**4 = 0. What is k?
-1, 1
Let c(b) be the first derivative of -b**5/45 - b**4/9 + 8*b**2/9 + 16*b/9 + 23. Factor c(s).
-(s - 2)*(s + 2)**3/9
Let c = -4 - -6. Let -d**4 + d**2 + 3*d - 2*d**c - 2*d**3 + 2 - d**3 = 0. What is d?
-2, -1, 1
Suppose -s - 16 = -5*s. Let m be 112/63 + s/18. Factor -r**3 - 2/3 + 1/3*r**m + r + 1/3*r**4.
(r - 2)*(r - 1)**2*(r + 1)/3
Suppose -3*l + 15 = 3*i, l + 4*l - 5*i = -5. Factor -2*s**l - 2/9*s**4 - 10/9*s**3 - 4/9 - 14/9*s.
-2*(s + 1)**3*(s + 2)/9
Let g(z) be the second derivative of -z**5/10 + z**4/6 + z**3/3 - z**2 - 5*z. Solve g(v) = 0.
-1, 1
Factor -2/3 - 2/3*q + 1/3*q**3 - 1/6*q**4 + 1/2*q**2.
-(q - 2)**2*(q + 1)**2/6
Let r(t) be the third derivative of 0*t - 1/9*t**3 + 0 - 1/15*t**5 - 1/315*t**7 + 1/45*t**6 + 1/9*t**4 - t**2. Factor r(q).
-2*(q - 1)**4/3
Let q = -18/5 + 77/20. Find a, given that q*a + 1/4*a**2 - 1/2 = 0.
-2, 1
Let d be (10/4)/(6/12). Factor c**4 + c**d - c**2 - 2*c**5 - 3*c**4 - 3*c**3 - c**4.
-c**2*(c + 1)**3
Let i(d) be the third derivative of 6*d**2 - 1/20*d**5 - 1/40*d**6 + 0 + 1/8*d**4 + 0*d**3 + 1/70*d**7 + 0*d. Factor i(a).
3*a*(a - 1)**2*(a + 1)
Let v(s) be the third derivative of -s**8/672 + s**6/240 + 16*s**2. Solve v(n) = 0 for n.
-1, 0, 1
Let n(r) be the first derivative of r**5/60 + r**4/24 + r**2/2 - 4. Let q(w) be the second derivative of n(w). Find b, given that q(b) = 0.
-1, 0
Let k(t) be the first derivative of -t**5/20 - t**4/4 - 5*t**2/2 - 1. Let i(m) be the second derivative of k(m). Factor i(x).
-3*x*(x + 2)
Solve -9/4*t**5 - 3*t**2 + 15/4*t**4 + 7/2*t**3 + 0 - 2*t = 0.
-2/3, 0, 1, 2
Let j(s) = 2*s**5 - 10*s**4 + 14*s**3 - 13*s**2 + 7. Let t(v) = v**5 - 5*v**4 + 7*v**3 - 6*v**2 + 3. Let u(d) = 3*j(d) - 7*t(d). Factor u(z).
-z**2*(z - 3)*(z - 1)**2
Let k(l) = 2*l**2 - 17*l - 63. Let r(u) = -5*u**2 + 50*u + 190. Let q(f) = -10*k(f) - 3*r(f). Factor q(p).
-5*(p - 6)*(p + 2)
Find c, given that -71*c**4 + 0*c + 73*c**4 - 6*c**2 - 4*c = 0.
-1, 0, 2
Let x(v) be the second derivative of -v**4/54 + 5*v**3/27 - 11*v. Suppose x(w) = 0. Calculate w.
0, 5
Let w(j) be the third derivative of j**5/60 - j**4/3 - j**3 + j**2. Let y be w(9). Find a, given that 3 + 2*a**y - 3 + 2*a**4 - 4*a**2 = 0.
-2, 0, 1
Let p(s) = 3*s**3 - 3*s**2 - 3*s - 1. Let h be 1/(-3*(-2)/18). Let c(x) = -3*x**3 + 2*x**2 + 3*x + 1. Let a(t) = h*p(t) + 4*c(t). Factor a(v).
-(v - 1)*(v + 1)*(3*v + 1)
Let z(x) be the third derivative of -x**10/201600 + x**8/26880 + x**5/30 - 4*x**2. Let u(a) be the third derivative of z(a). Factor u(f).
-3*f**2*(f - 1)*(f + 1)/4
Suppose 3*m = 9 + 3. Suppose -8/3*p**3 - 6*p**5 + 0*p**2 + 0*p - 8*p**m + 0 = 0. Calculate p.
-2/3, 0
Let q(u) be the third derivative of 0 + 0*u**3 + 3*u**2 + 1/360*u**5 - 1/144*u**4 + 0*u. Factor q(h).
h*(h - 1)/6
Let q be (-57)/(-21) + 4/14. Factor -3 - 5*w**2 + 3*w**3 - 4*w**2 - 6*w - 6*w**3 - q*w.
-3*(w + 1)**3
Let l(i) be the third derivative of -i**6/12 - i**5/30 + 5*i**2 + i. What is r in l(r) = 0?
-1/5, 0
Let h be 1/(5*(-2)/(-50)). Suppose 0 = -h*x, -2*q = -4*q + 2*x. What is c in q + 1/3*c**2 - 1/3*c = 0?
0, 1
Let z(k) be the first derivative of 3/2*k**2 + 1/6*k**3 + 9/2*k + 1. Suppose z(j) = 0. What is j?
-3
Let d(c) = 6*c + 68. Let v be d(-11). Solve 2/7 + 4/7*u**3 - 2/7*u**4 + 0*u**v - 4/7*u = 0 for u.
-1, 1
Determine r, given that 32 - r**2 - 16*r - 2*r**2 + 5*r**2 = 0.
4
Let n(h) be the first derivative of 1/25*h**5 + 0*h - 1 - 1/15*h**3 + 0*h**2 + 0*h**4. Solve n(y) = 0 for y.
-1, 0, 1
Let f be 1/((-9)/(-6))*6. Suppose -2*a = -10 + f. Determine h, given that 2*h**3 + h - h**2 + 3*h**2 - h**a = 0.
-1, 0
Suppose 11*q + 18*q**3 + 9*q - 3*q**4 - 3*q**5 - 20*q = 0. What is q?
-3, 0, 2
Let r be ((-486)/(-32))/(12/16). Solve -117/4*f**4 + 10*f**3 - f**2 + 0*f + 0 + r*f**5 = 0 for f.
0, 2/9, 1
Let x(q) = 2*q**5 - 5*q**4 - 3*q**3 + 17*q**2 - 13*q + 4. Let w(m) = -m**4 + m**3 + m**2 + m. Let k(c) = -w(c) + x(c). Factor k(u).
2*(u - 1)**4*(u + 2)
Factor -2/3*g + 0 - 2/9*g**3 - 2/9*g**4 + 10/9*g**2.
-2*g*(g - 1)**2*(g + 3)/9
Let t be 42/10 - ((-18)/10 - -2). Factor 2/5 - 4/5*p + 0*p**2 - 2/5*p**t + 4/5*p**3.
-2*(p - 1)**3*(p + 1)/5
Let b be 1 - -1609*2/(-1374). Let d = -2/229 - b. Factor -d*n**2 + 0 + 0*n + 2*n**3 - 2/3*n**4.
-2*n**2*(n - 2)*(n - 1)/3
Let i(h) be the third derivative of 1/5*h**4 + 2*h**2 + 1/100*h**6 - 4/15*h**3 + 0*h - 11/150*h**5 + 0. Let i(b) = 0. Calculate b.
2/3, 1, 2
Let v(f) = f**2 - 6*f + 3. Let x be v(6). Factor 2/9 - 2/9*s**2 - 2/9*s**x + 2/9*s.
-2*(s - 1)*(s + 1)**2/9
Let t(d) be the first derivative of -1 + 1/18*d**4 + 0*d**3 + 0*d**2 - d. Let y(r) be the first derivative of t(r). What is v in y(v) = 0?
0
Let s be ((-12)/(-15) - 0)*5. Suppose -v + s*r - 6 = 2*r, 5*v - 35 = -3*r. Factor -2*n**4 - n**3 + 14*n - v + 5*n**3 + 0*n**4 - 18*n**2 + 6*n**3.
-2*(n - 2)*(n - 1)**3
Let j(y) = 4*y**3 + y**2 + 5. Let l(r) = r**3 + 1. Let p be (0 - 1)/((-1)/(-5)). Let n be p*3*(-3)/(-9). Let f(b) = n*l(b) + j(b). Find a, given that f(a) = 0.
0, 1
Let h be 2*(-57)/30 + 4. Let k(s) be the first derivative of 0*s - 1/25*s**5 - h*s**4 + 1 - 1/5*s**2 - 1/3*s**3. Factor k(c).
-c*(c + 1)**2*(c + 2)/5
Suppose 0 = 4*t - 3*f - 17, -t - 6*f + 4*f = 4. Factor 0 - 2/3*w**t + 1/6*w.
-w*(4*w - 1)/6
Let n be 2/(-18) - 171/(-81). Let d(w) be the third derivative of -3*w**n + 1/5*w**5 + 1/60*w**6 + 8/3*w**3 + w**4 + 0 + 0*w. Find l such that d(l) = 0.
-2
Suppose 4*h**3 + 15*h**3 + 126*h**2 + 10*h**4 + 324*h + 4*h**4 - 13*h**4 + 216 = 0. Calculate h.
-6, -1
Let a(b) = 9*b + 94. Let v be a(-10). Factor 8/3*y**3 + 0 - 32/3*y**v + 14/3*y**5 + 0*y**2 + 0*y.
2*y**3*(y - 2)*(7*y - 2)/3
Solve 0*u**4 - 4*u**2 + 30*u**3 - 4*u**5 + 4*u**4 - 26*u**3 = 0.
-1, 0, 1
Let y(x) be the second derivative of -1/3*x**4 + 1/10*x**5 - 4*x - 1/3*x**3 + 2*x**2 + 0. Factor y(c).
2*(c - 2)*(c - 1)*(c + 1)
Let g(d) be the first derivative of -2 + 1/3*d**3 + 1/4*d**2 - 1/8*d**4 - d. Factor g(z).
-(z - 2)*(z - 1)*(z + 1)/2
Solve -2*b**2 - b - 14 - 15*b + 0*b**2 = 0 for b.
-7, -1
Let c(k) be the second derivative of k**6/30 - k**5/5 + k**4/4 + 2*k**3/3 - 2*k**2 - 10*k. Suppose c(f) = 0. What is f?
-1, 1, 2
Suppose -36/7 - 6/7*l + 6/7*l**2 = 0. Calculate l.
-2, 3
Let m(i) = i**2 - 9*i + 5. Let d be m(4). Let s be ((d/6)/5)/(-1). Solve 0 - s*g + 1/2*g**3 + 0*g**2 = 0.
-1, 0, 1
Let n = -133 - -135. Factor 1/3*z**n + 2/3*z + 1/3.
(z + 1)**2/3
Let x(c) = -c - 1. Let n be x(12). Let b be n/(-3) - (-4)/(-12). Determine z so that 0 + 1/4*z**b + 1/4*z**3 - 1/4*z**2 + 0*z - 1/4*z**5 = 0.
-1, 0, 1
Let f(x) = -7*x**3 - 4*x**2 + 34*x - 20. Let p(v) = -8*v**3 - 4*v**2 + 35*v - 18. Let m(k) = -7*f(k) + 6*p(k). Find y, given tha