 1/1260*s**7 + 1/120*s**6 + 0*s + 0 - 1/12*s**3. Solve z(h) = 0 for h.
-1, 1, 3
Let g(k) be the third derivative of k**8/336 - k**7/105 - k**6/120 + k**5/30 + 18*k**2. Factor g(d).
d**2*(d - 2)*(d - 1)*(d + 1)
Suppose r + 5*c - 13 = -r, 4*r = -c + 17. Let x be (-4)/(-32)*r*4. Factor 6/5*g + 2/5 - 6/5*g**4 + 4/5*g**x - 2/5*g**5 - 4/5*g**3.
-2*(g - 1)*(g + 1)**4/5
Let u = 106 + -740/7. Factor 0*v - 4/7*v**3 + 0 - u*v**4 - 2/7*v**2.
-2*v**2*(v + 1)**2/7
Let v(m) be the second derivative of -2*m**2 - 1/270*m**5 + 0*m**3 + 0 + 4*m - 1/108*m**4. Let s(a) be the first derivative of v(a). Factor s(f).
-2*f*(f + 1)/9
Let i(x) be the first derivative of -x**4/2 + 2*x**3/3 + 6*x**2 + 32. Let i(s) = 0. Calculate s.
-2, 0, 3
Suppose 2*t - 5*i + 5 = 0, 3*i - 1 - 2 = -3*t. Factor -9/5*y**4 - 9/5*y**3 + 0*y + t - 3/5*y**5 - 3/5*y**2.
-3*y**2*(y + 1)**3/5
Suppose 7*a - 10*a - 18 = 0. Let p be 3 + -4 - (a - -3). Let -2*t**4 + 8/3*t**p + 0 - 10/3*t**3 + 8/3*t = 0. Calculate t.
-2, -2/3, 0, 1
Factor 1/2*q + 1/6*q**2 - 5/3.
(q - 2)*(q + 5)/6
Let m be 3 + (0 + 34/(-7) - -3). Factor 0 - 2/7*k**3 - 8/7*k + m*k**2.
-2*k*(k - 2)**2/7
Suppose 2*k = k + x + 8, 0 = -2*k - 2*x + 8. Let f be ((-30)/(-40))/(k/32). What is p in 1/4*p**f + 1/4*p**3 - 1/4*p - 1/4*p**2 + 0 = 0?
-1, 0, 1
Let h = -596 + 596. Find n, given that 3/2*n**3 + n**2 - 1/2*n**5 + 0 + h*n + 0*n**4 = 0.
-1, 0, 2
Let f(g) = g**3 + 4*g**2. Let c be f(-4). Let u(o) be the first derivative of 6/35*o**5 + c*o - 5/14*o**4 - 2 + 2/21*o**3 + 1/7*o**2. Solve u(y) = 0.
-1/3, 0, 1
Let p be 4*4/(0 + 4). Factor p - 1 - s**2 + 1 - 3 + s - s**3.
-(s - 1)*(s + 1)**2
Let o(s) be the third derivative of -s**6/240 - s**5/120 + 3*s**2. Solve o(c) = 0.
-1, 0
Let d(r) be the second derivative of 25*r**4/6 + 40*r**3/3 + 16*r**2 - 2*r. Factor d(i).
2*(5*i + 4)**2
Let i = -52/7 + 111/14. Factor -r**3 + 0*r**4 + 1/2*r**5 + 0*r**2 + i*r + 0.
r*(r - 1)**2*(r + 1)**2/2
Let w(u) be the second derivative of -u**6/225 - u**5/150 + u**4/90 + u**3/45 - 10*u. Solve w(n) = 0.
-1, 0, 1
Factor 0*a + 2/3*a**2 - 2/3.
2*(a - 1)*(a + 1)/3
Let i(c) be the third derivative of 0 + 1/20*c**6 + 0*c + 0*c**3 - 1/30*c**5 - c**2 + 1/168*c**8 - 1/35*c**7 + 0*c**4. Factor i(u).
2*u**2*(u - 1)**3
Let j be (-6)/(-15)*(-1 - -19). Let t = -314/45 + j. Determine p so that 0 - 2/9*p**2 - 2/9*p**3 + 2/9*p**5 + t*p**4 + 0*p = 0.
-1, 0, 1
Let z(f) be the first derivative of f**8/5880 + f**7/1470 + f**6/1260 + 4*f**3/3 + 2. Let w(k) be the third derivative of z(k). Factor w(j).
2*j**2*(j + 1)**2/7
Let m(a) = -4*a**2 - 21*a + 18. Let r be m(-6). Factor 2/3*o**2 + r*o + 0.
2*o**2/3
Let v(g) be the first derivative of g**7/210 - g**6/60 + g**5/60 - g**2 + 1. Let p(m) be the second derivative of v(m). Factor p(f).
f**2*(f - 1)**2
Let y(t) = -t + 9. Let v be y(5). Let c(i) be the third derivative of 0 + 0*i + 2*i**2 - 1/420*i**7 + 1/160*i**6 + 0*i**3 + 0*i**5 - 1/96*i**v. Factor c(p).
-p*(p - 1)**2*(2*p + 1)/4
Let d(l) be the third derivative of -l**7/105 - l**6/15 - l**5/5 - l**4/3 - l**3/3 - 17*l**2. Factor d(c).
-2*(c + 1)**4
Let h(y) be the second derivative of y**6/90 + 13*y**5/150 - y**4/5 - y**3/3 + y. Let c(t) be the second derivative of h(t). Determine q so that c(q) = 0.
-3, 2/5
Let t(w) be the second derivative of w**7/189 + w**6/135 - w**5/45 - w**4/27 + w**3/27 + w**2/9 - 12*w. Factor t(r).
2*(r - 1)**2*(r + 1)**3/9
Let z = 7 + -3. Suppose -a = z*a. Solve -2/11*d**2 + 0*d + 0 + a*d**3 + 2/11*d**4 = 0 for d.
-1, 0, 1
Let x(r) be the third derivative of r**7/420 + r**6/480 - r**5/80 - r**4/96 + r**3/24 + 2*r**2. Factor x(w).
(w - 1)*(w + 1)**2*(2*w - 1)/4
Let t(c) be the first derivative of -c**6/360 - 2*c**3/3 - 1. Let j(l) be the third derivative of t(l). Suppose j(z) = 0. What is z?
0
Let k(d) be the third derivative of d**5/90 - d**4/36 - 2*d**3/9 - 3*d**2. Solve k(u) = 0.
-1, 2
Let s(x) = 15*x**2 - 5*x + 19. Let v be (-1955)/(-153) + 2/9. Let g(j) = 7*j**2 - 2*j + 9. Let m(i) = v*g(i) - 6*s(i). Determine h so that m(h) = 0.
-3, -1
Suppose 0*u + 0 + 0*u**2 - 2/3*u**3 - 1/3*u**4 + 1/3*u**5 = 0. What is u?
-1, 0, 2
Let u(l) be the third derivative of l**6/240 - l**5/40 + l**4/24 + l**2. Let u(f) = 0. Calculate f.
0, 1, 2
Let f(g) be the first derivative of 3 - g + 1/5*g**5 + 0*g**3 - 1/2*g**4 + g**2. Let f(c) = 0. What is c?
-1, 1
Let g(y) be the second derivative of -y**6/40 - 3*y**5/80 + 23*y. Determine n so that g(n) = 0.
-1, 0
Factor -40/3*r - 2/3*r**2 - 200/3.
-2*(r + 10)**2/3
Let l(p) be the first derivative of -2 + 1/5*p**3 - 12/5*p + 0*p**2. Suppose l(w) = 0. Calculate w.
-2, 2
Let k = 20 + -14. Factor -12*m**2 - 14*m + 5*m + 15*m**2 + k.
3*(m - 2)*(m - 1)
Suppose 3*n = a + a + 10, -2*a = 5*n - 6. Solve 6*r**n + 1 - r + 3*r - 5*r**2 = 0 for r.
-1
Let o(g) be the third derivative of -g**6/630 - g**5/210 + g**3/6 - 4*g**2. Let r(w) be the first derivative of o(w). Solve r(u) = 0.
-1, 0
Let d be 2/10 + 484/55. Let h = d + -6. Factor 7/2*f**h + f**2 - 1 - 7/2*f.
(f - 1)*(f + 1)*(7*f + 2)/2
Let l(y) be the first derivative of y**6/3 - 4*y**5/3 + 3*y**4/2 - 4*y**3/9 - 31. Find n such that l(n) = 0.
0, 1/3, 1, 2
Let t(s) be the second derivative of -s**7/28 + s**6/20 + 3*s**5/20 - s**4/4 - s**3/4 + 3*s**2/4 + 3*s. Factor t(r).
-3*(r - 1)**3*(r + 1)**2/2
Suppose -3*s + 9 + 0 = 0. Find g such that g**4 + g - s*g**2 - 6*g + 3*g = 0.
-1, 0, 2
Let b(q) be the first derivative of q**6/39 - 2*q**5/65 + 8. Factor b(j).
2*j**4*(j - 1)/13
Find a, given that 2*a**3 - 12*a**2 - 64 - 13*a - 35*a - 3*a**3 = 0.
-4
Let y(o) = -o**2 - 23*o. Let i(d) = -2*d**2 - 24*d. Let m(v) = -3*i(v) + 4*y(v). Solve m(c) = 0.
0, 10
Let t be 0 - -3*4/3. Suppose -t*s - w = s - 6, -4*s + 4*w = -24. Factor 2*v - 9*v**2 + 3*v**s - 2*v**3 + 6*v**2.
-2*v*(v - 1)*(v + 1)
Factor 4/3*v**2 - 5/3*v + 2/3 - 1/3*v**3.
-(v - 2)*(v - 1)**2/3
Let d = -568/5 - -114. Let t(o) be the second derivative of -o + 0 + d*o**2 - 1/15*o**3 - 1/30*o**4. Let t(w) = 0. What is w?
-2, 1
Let o be (-3)/(-18) - 2/(-4). Let a(k) be the second derivative of -o*k**2 - 3*k + 0 - 1/18*k**4 + 1/3*k**3. Factor a(x).
-2*(x - 2)*(x - 1)/3
Let r(x) = -9*x**3 + 9*x**2 + 9*x - 9. Let w(o) = -5*o**3 + 5*o**2 + 5*o - 5. Let g(n) = 4*r(n) - 7*w(n). Solve g(l) = 0.
-1, 1
Let w be (-1)/2*(-3)/(-2)*-4. Let m(y) be the second derivative of w*y + 0 - 1/3*y**3 + 0*y**4 - 1/2*y**2 + 1/10*y**5 + 1/30*y**6. Solve m(f) = 0 for f.
-1, 1
Let r be (-55)/22*(-1 - 1). Suppose -r*q - 2 = -6*q. Factor -2*b**q - 1/2 + 2*b.
-(2*b - 1)**2/2
Suppose -2*u - 46 + 50 = 0. Let p(f) be the first derivative of -9/16*f**4 - 3/4*f**3 + 4 - 3/20*f**5 + 0*f - 3/8*f**u. Suppose p(c) = 0. Calculate c.
-1, 0
Let p(n) be the first derivative of -2/3*n + 0*n**3 - 2/3*n**2 + 2/15*n**5 + 1/3*n**4 + 3. Factor p(j).
2*(j - 1)*(j + 1)**3/3
Suppose 4*c - u - 9 = 0, c - 5*u = 4 + 3. Let v(n) be the second derivative of -25/48*n**4 + 5/6*n**3 - 3*n + 0 - 1/2*n**c. Factor v(r).
-(5*r - 2)**2/4
Factor -7/2*y**3 + 0*y + 0 + 2*y**4 - y**2.
y**2*(y - 2)*(4*y + 1)/2
Suppose 6*n = 7*n. Factor 0*r**3 + n*r + 2/7*r**4 + 2/7 - 4/7*r**2.
2*(r - 1)**2*(r + 1)**2/7
Factor 7*j**3 - 5*j**3 - 8*j + 4 - 4.
2*j*(j - 2)*(j + 2)
Let p(t) be the third derivative of -1/12*t**4 + 3/70*t**5 - 4*t**2 + 0*t + 2/21*t**3 + 1/735*t**7 + 0 - 1/84*t**6. Suppose p(j) = 0. Calculate j.
1, 2
Let g(o) = -o**3 + 6*o**2 + o - 2. Let j be g(6). What is k in j - k - 5*k**2 + 2 + 2*k**2 - 2*k = 0?
-2, 1
Let k(a) = -a**4 + a**3 + a - 1. Let w(d) = 7*d**4 - 5*d**3 - 6*d + 6. Let f(m) = -3*m. Let v be f(2). Let u(j) = v*k(j) - w(j). Factor u(y).
-y**3*(y + 1)
Let i = 3 - 1. Let 11*a**3 - a**3 - 6*a**i - 8*a - 10*a**2 = 0. Calculate a.
-2/5, 0, 2
Let j(c) be the second derivative of -c**6/24 + c**5/9 - 5*c**4/72 - 3*c**2/2 + 2*c. Let m(b) be the first derivative of j(b). Find n such that m(n) = 0.
0, 1/3, 1
Let p = 9 + -7. Let o = p - 2. Let 7/3*j**2 - 2/3*j - j**3 + o = 0. What is j?
0, 1/3, 2
Let t(i) be the second derivative of -3*i**5/4 + 3*i**4/4 - 2*i. Let t(x) = 0. What is x?
0, 3/5
Let k = 0 + 2. Let s(f) = -5*f**4 + 31*f**3 - 14*f**2 + 21*f + 11. Let a(g) = g**4 - 6*g**3 + 3*g**2 - 4*g - 2. Let y(i) = k*s(i) + 11*a(i). Factor y(n).
n*(n - 2)*(n - 1)**2
Let k(u) = -u - 1. Let j be k(-1). Let q = 2 - j. Solve -1/5