 2*q - 2 + q.
(q - 1)*(q + 1)*(q + 2)
Let c(j) be the second derivative of 3*j**7/28 + j**6/5 - 3*j**5/20 - j**4/2 - j**3/4 + 37*j. Determine r, given that c(r) = 0.
-1, -1/3, 0, 1
Let h(r) be the third derivative of -3*r**5/80 + 5*r**4/24 - r**3/6 + 12*r**2. What is d in h(d) = 0?
2/9, 2
Suppose 0 = 33*y - 38*y. Factor 0*f + 1/3*f**2 + y + 1/3*f**3.
f**2*(f + 1)/3
Let x(s) be the first derivative of -2/3*s**3 - 2 + 0*s**2 + s + 0*s**4 + 1/5*s**5. Let x(w) = 0. Calculate w.
-1, 1
Let c(k) be the third derivative of 1/840*k**7 + 0*k**3 + 0 - 1/96*k**4 - 3*k**2 + 0*k + 1/80*k**5 - 1/160*k**6. Factor c(p).
p*(p - 1)**3/4
Let r(j) be the third derivative of j**8/336 + j**7/210 - j**6/30 - j**5/15 - 27*j**2. Factor r(m).
m**2*(m - 2)*(m + 1)*(m + 2)
Suppose -3*i + 2*i = -2. Let s(n) be the first derivative of 1/9*n**6 + 0*n**2 - 2/9*n**3 + 0*n - 1/6*n**4 + i + 2/15*n**5. Find z such that s(z) = 0.
-1, 0, 1
Let k(x) = x + 9. Let c be k(9). Let p be ((-40)/c)/(-5) - 0. Determine m, given that -2/9*m**5 - 4/9*m**3 + 2/9 + p*m**2 - 2/3*m**4 + 2/3*m = 0.
-1, 1
Let u(r) be the second derivative of 1/21*r**7 - 1/15*r**6 + 0*r**2 + 0*r**3 + 0 + 2*r + 0*r**5 + 0*r**4. Find c such that u(c) = 0.
0, 1
Let h(z) = -z + 8. Let q be h(6). Let t(w) = w**2 - 2. Let j(f) = 3. Let l(a) = q*j(a) + 3*t(a). Factor l(n).
3*n**2
Let q(y) be the second derivative of y**8/2800 - y**6/600 + y**3/6 + y. Let m(n) be the second derivative of q(n). Factor m(h).
3*h**2*(h - 1)*(h + 1)/5
Let l(s) be the second derivative of -1/5*s**6 + 0*s**4 + 3/20*s**5 + 0*s**2 + 0 + 0*s**3 + 1/14*s**7 - s. Factor l(u).
3*u**3*(u - 1)**2
Let u(i) = -2*i**2 - 11*i - 6. Let n be u(-10). Let y be n/(-42) + (-4)/14. Suppose -3*m**2 - 5*m**3 - 4*m + 9*m**y + 2*m**2 + m**4 = 0. What is m?
0, 1, 2
Let f(q) be the third derivative of -q**5/100 - 2*q**4/5 + 43*q**2. Factor f(s).
-3*s*(s + 16)/5
Let o = 131/840 + -4/35. Let m(q) be the second derivative of 1/4*q**2 - o*q**4 + 1/40*q**5 + 0 - q - 1/12*q**3. Factor m(f).
(f - 1)**2*(f + 1)/2
Factor 2 + 1/2*u**2 - 2*u.
(u - 2)**2/2
Factor -6*t + 10*t + 10*t**2 + 4 - 4.
2*t*(5*t + 2)
Let t = 0 + 0. Suppose 0 = 5*w + 5*r + 5, t = 5*w + 4*r + 2. Factor 2*y**3 - 2*y + 2*y**3 - w*y**3.
2*y*(y - 1)*(y + 1)
Let a(h) be the third derivative of h**7/1365 - h**6/195 + h**5/78 - h**4/78 - 13*h**2. Find s such that a(s) = 0.
0, 1, 2
Suppose -9*g = -13 - 23. Factor 2/3*l**3 + 1/6*l**g + 1/6 + 2/3*l + l**2.
(l + 1)**4/6
Suppose -2*w + 2*h = h - 3, 2*w + 4*h - 18 = 0. Let g(t) be the first derivative of -t**2 + 2/5*t**5 + 0*t + 1/2*t**4 - 2/3*t**w - 4. Factor g(x).
2*x*(x - 1)*(x + 1)**2
Let b(q) = -5*q**4 + q**3 + q**2 + 3*q + 3. Let k(u) = -4*u**4 + 2*u**3 + 2*u + 2. Let p(l) = -2*b(l) + 3*k(l). What is h in p(h) = 0?
0, 1
Let v be (-2)/(-6)*-2 - 288/(-108). Let x(q) be the second derivative of -1/36*q**3 + 0 - 1/120*q**5 + 4*q - 1/36*q**4 + 0*q**v. Factor x(n).
-n*(n + 1)**2/6
Find f such that -8*f**4 - 4*f**4 - 4*f**4 + 4*f**3 + 4*f**5 - 8*f**2 + 16*f**3 = 0.
0, 1, 2
Let y be 9/42 - (-10)/35. Factor 1/4 + 1/4*u**2 + y*u.
(u + 1)**2/4
Determine i, given that i**2 + 3*i**2 + 8*i - 11*i - 9*i = 0.
0, 3
Let r = 0 + 3. Let c(n) = 4*n**5 + 2*n**4 - 3*n**3 + 3*n**2 + 3*n. Let s(m) = -m**5 - m**4 + m**3 - m**2 - m. Let u(q) = r*s(q) + c(q). Factor u(i).
i**4*(i - 1)
Let n(r) = -190*r**3 - 540*r**2 + 55*r + 55. Let z(m) = 7*m**3 + 20*m**2 - 2*m - 2. Let g(w) = 2*n(w) + 55*z(w). Determine x, given that g(x) = 0.
-4, 0
Let k(r) be the second derivative of 2*r**6/135 - 2*r**4/27 + 2*r**2/9 + 25*r. Solve k(c) = 0 for c.
-1, 1
Let x be (-2)/6*15/(-1). Factor 2/5*h**x + 0*h**2 - 4/5*h**3 + 2/5*h + 0*h**4 + 0.
2*h*(h - 1)**2*(h + 1)**2/5
What is j in 7/2*j**4 - 3/2*j**3 - j - 7/2*j**2 + 5/2*j**5 + 0 = 0?
-1, -2/5, 0, 1
Let s = -17 + 17. Let y(w) be the second derivative of -1/21*w**3 + 0 - 2*w - 1/70*w**5 + 1/21*w**4 + s*w**2. Factor y(t).
-2*t*(t - 1)**2/7
Let 10/3*k + 56/9*k**2 - 4*k**3 + 4/9 - 12*k**4 + 6*k**5 = 0. Calculate k.
-1/3, 1, 2
Let x(m) = 5*m**2. Let k be x(-1). Let h = 1 + 2. Determine t so that -2*t**2 - 4*t**5 + 2*t**2 + k*t**3 - t - h*t**4 + 3*t**2 = 0.
-1, 0, 1/4, 1
Factor 6*w - 10*w**3 + 4*w**5 - 2*w + 2*w**3.
4*w*(w - 1)**2*(w + 1)**2
Let p(d) be the third derivative of d**6/600 - d**5/75 + d**4/120 + d**3/5 + 19*d**2. Factor p(y).
(y - 3)*(y - 2)*(y + 1)/5
Let l(t) be the first derivative of t**6/300 + t**5/75 - t**2/2 + 2. Let f(h) be the second derivative of l(h). Factor f(g).
2*g**2*(g + 2)/5
Suppose -75*b + 15*b**4 + 4*b**5 - 156*b**2 - 66*b**3 + 5*b**5 + 3*b = 0. What is b?
-2, -2/3, 0, 3
Let f(t) = t**3 - 11*t**2 - 10*t - 6. Let l be f(12). Suppose l*p = 16*p. Factor 0 + p*v - 2/7*v**2 - 2/7*v**3.
-2*v**2*(v + 1)/7
Let m(w) be the third derivative of -1/18*w**4 + 0 + 0*w**3 + 0*w + 8*w**2 + 0*w**5 + 1/360*w**6. Factor m(q).
q*(q - 2)*(q + 2)/3
Let u be 7*2/245 - 8/(-10). Factor -u*x**2 - 4/7 - 18/7*x + 8/7*x**3.
2*(x - 2)*(x + 1)*(4*x + 1)/7
Let k(z) be the third derivative of z**6/360 - z**5/180 - 9*z**2. What is x in k(x) = 0?
0, 1
Factor 2/3*n**5 - 2/3*n + 4/3*n**4 + 0 - 4/3*n**2 + 0*n**3.
2*n*(n - 1)*(n + 1)**3/3
Let s(t) be the third derivative of 7*t**6/72 + t**5/4 - 5*t**4/6 - 10*t**3/9 - 22*t**2 + t. Factor s(p).
5*(p - 1)*(p + 2)*(7*p + 2)/3
Let 12/5 - 24/5*n**4 + 14/5*n + 106/5*n**3 - 108/5*n**2 = 0. What is n?
-1/4, 2/3, 1, 3
Let l(i) be the second derivative of -i**4/6 - 4*i**3/3 - 4*i**2 + i. What is k in l(k) = 0?
-2
Factor -1/4*o**3 - 1/2*o**4 + 1/2*o**2 + 0 + 1/4*o.
-o*(o - 1)*(o + 1)*(2*o + 1)/4
Let m = -76 - -76. Let o(q) be the third derivative of 0*q**3 + m - 2*q**2 + 0*q + 0*q**4 + 1/120*q**5. Solve o(x) = 0 for x.
0
Factor 2/13*t + 0*t**4 + 2/13*t**5 - 4/13*t**3 + 0 + 0*t**2.
2*t*(t - 1)**2*(t + 1)**2/13
Let v(m) be the first derivative of m**7/840 + m**6/216 + m**5/180 - m**3 - 9. Let d(o) be the third derivative of v(o). What is y in d(y) = 0?
-1, -2/3, 0
Suppose -10 = -h + 14. Suppose 0 = -2*z - z + 4*q + 1, -2*z - 2*q = -h. Factor z*l**2 + l - 2*l - 5*l**3 - l.
-l*(l - 1)*(5*l - 2)
Let u(d) = -9*d**4 - 24*d**3 - 72*d**2 - 72*d - 27. Let v(z) = z**4 + z**2. Let p(t) = u(t) + 6*v(t). Suppose p(s) = 0. Calculate s.
-3, -1
Let f(j) be the first derivative of -1/5*j**5 + 2 + 1/3*j**3 + 0*j - 1/2*j**2 + 1/4*j**4. Suppose f(n) = 0. What is n?
-1, 0, 1
Let p(m) be the third derivative of -m**5/20 - m**4/8 - 4*m**2. Factor p(n).
-3*n*(n + 1)
Let v(m) be the first derivative of -6*m**2 - 2*m + m**3 + 8*m - 2*m + 9 + 5*m. Let v(i) = 0. Calculate i.
1, 3
Factor 2 + 0*b**3 + 0 + 3*b**2 - 4*b**4 + b**3 - 5*b + 3*b**4.
-(b - 1)**3*(b + 2)
Let z(t) = 11*t**2 - 13*t - 4. Let s(r) = -5*r**2 - 1 - 14*r - 4 + 13*r**2 + 4*r**2. Let b(v) = -6*s(v) + 7*z(v). Determine l, given that b(l) = 0.
2/5, 1
Let d be (-2)/11 - (-114)/264. Let b(c) be the first derivative of -3 + 0*c + 1/10*c**5 - 1/8*c**4 - 1/6*c**3 + d*c**2. Determine h, given that b(h) = 0.
-1, 0, 1
Suppose 5 = 5*r - 5. Let i(l) be the third derivative of -1/12*l**6 + 1/10*l**5 + 1/6*l**4 + 0*l**3 + 0 + 0*l + l**r. Factor i(x).
-2*x*(x - 1)*(5*x + 2)
Suppose 0 = 3*i + 5*n + 5, 3*i - 4*n - 11 = 4*i. Find p such that -i*p - 7 - 9 - 3*p - p**2 = 0.
-4
Let u(h) = -2*h**2 + 14*h - 2. Let s(p) = 2*p**2 - 15*p + 1. Let g(d) = -6*s(d) - 7*u(d). Factor g(x).
2*(x - 2)**2
Let j(v) be the second derivative of -2*v + 0 - 1/12*v**3 + 1/2*v**2 - 1/12*v**4 + 1/40*v**5. Determine o so that j(o) = 0.
-1, 1, 2
Suppose -6*i = 18*i + 2*i. What is l in 3/2*l + i - 3/4*l**2 - 3/4*l**3 = 0?
-2, 0, 1
Let i be 20/(-21)*14/(-12). Let d be (-6)/(-27) - 24/(-27). Factor d*h + 2/9 + 2/9*h**5 + 20/9*h**3 + 20/9*h**2 + i*h**4.
2*(h + 1)**5/9
Let i = 13 + -11. Find y such that -7*y**2 + 4*y**2 + 5*y**2 - y**2 - 3 + i*y = 0.
-3, 1
Let u be 2 - 5/((-50)/(-18)). Let p = 9/20 - u. Find y, given that 1/2*y + 1/4*y**2 + p = 0.
-1
Let l(v) be the third derivative of 1/900*v**6 - 2*v**2 - 1/150*v**5 - 1/6*v**3 + 1/60*v**4 + 0*v + 0. Let j(h) be the first derivative of l(h). Factor j(r).
2*(r - 1)**2/5
Let y(i) be the second derivative of 2*i**6/105 - 8*i**5/35 + 22*i**4/21 - 16*i**3/7 + 18*i**2/7 + 15*i. Factor y(x).
4*(x - 3)**2*(x - 1)**2/7
Let n(b) = -b + 35. Let t be n(30). Factor -1/2*p - 6*p**3 + 0 - 3*p**2 - t*p**4 - 3/2*p