*b**2 - 3*b**2.
-(b - 1)*(b + 1)
Solve -2/17 - 2/17*d + 2/17*d**2 + 2/17*d**3 = 0 for d.
-1, 1
Let t(m) be the third derivative of -m**5/420 - m**4/28 - 3*m**2. Factor t(q).
-q*(q + 6)/7
Let l(n) be the third derivative of 4*n**2 - 1/9*n**4 - 7/180*n**6 + 0*n + 0*n**3 - 8/45*n**5 + 0. Factor l(m).
-2*m*(m + 2)*(7*m + 2)/3
Let d(i) be the second derivative of -i**4/4 - 2*i**3 - 6*i**2 + 2*i. Factor d(x).
-3*(x + 2)**2
Let m(o) be the first derivative of 25*o**6/21 - 2*o**5/7 - 8*o**4/7 - 8*o**3/21 - 5. Factor m(h).
2*h**2*(h - 1)*(5*h + 2)**2/7
Let u = 38 - 35. Let q(a) be the first derivative of -2/9*a**u - 1/15*a**5 + 1/4*a**4 + 0*a + 0*a**2 - 3. Determine p so that q(p) = 0.
0, 1, 2
Let a be ((-76)/(-57))/(4/6). Factor 3/7*m**4 + 0 + 12/7*m**3 + 12/7*m**a + 0*m.
3*m**2*(m + 2)**2/7
Let l(i) be the first derivative of -3*i**4/8 + i**3 - 15. Factor l(f).
-3*f**2*(f - 2)/2
Let j(p) be the third derivative of -4*p**7/105 - 7*p**6/30 - 7*p**5/15 - p**4/3 + 7*p**2. Determine c so that j(c) = 0.
-2, -1, -1/2, 0
Suppose -5*j = 4*n - 22, n + j - 9 = -4. Let k be (11/(-2))/((-1)/2). Let 2*q - 3*q**2 + 0*q**3 + k*q**2 - 8*q**4 - 2*q**n = 0. Calculate q.
-1, -1/4, 0, 1
Let m(x) = -20*x**4 - 48*x**3 - 42*x**2 - 18*x. Let g(s) = -s**4 + s**2 - s + 1. Suppose 6 = -4*h - 2. Let w(n) = h*g(n) + m(n). Find u such that w(u) = 0.
-1, -1/3
Let a = 11 - 6. Factor 4*z - a*z**3 + 0*z**2 + 1 - z**2 - 3*z + 4*z**3.
-(z - 1)*(z + 1)**2
Let k = 195/748 + -2/187. Solve -1/4*v + 0 - k*v**3 + 1/2*v**2 = 0 for v.
0, 1
Factor 4/3*p**2 + 8*p + 12.
4*(p + 3)**2/3
Let g(k) be the second derivative of k**4/54 - 4*k**2/9 - 5*k. Factor g(x).
2*(x - 2)*(x + 2)/9
Let d be (-8)/14*35/(-10). Let p(b) be the first derivative of 3 - 1/6*b**3 - 1/2*b**d - 1/2*b. Factor p(r).
-(r + 1)**2/2
Suppose -p = o - 2, 3*p - o + 7 = 29. Let z(l) be the second derivative of 0*l**5 + 1/120*l**p + 0*l**4 + 0*l**2 + 1/168*l**7 - l + 0 + 0*l**3. Factor z(y).
y**4*(y + 1)/4
Factor 2*z + 2*z**2 + 4*z + 0*z**2 - 4*z**2.
-2*z*(z - 3)
What is x in -3*x**4 - 3*x**3 + 3/2*x**5 - 21/2*x + 3 + 12*x**2 = 0?
-2, 1
Let q = -125 + 132. Suppose 2 = -4*r - 2*j + 8, j + 5 = 2*r. Factor 3*t - 3*t**2 + q*t**r + t**2 - 2*t**2.
3*t*(t + 1)
Let w = -47/68 + 40739/3060. Let l = -110/9 + w. Factor -2/5*t**3 + l + 6/5*t**2 - 6/5*t.
-2*(t - 1)**3/5
Let n be (69/(-36) - -2)/(2/2). Let x(u) be the third derivative of -1/60*u**5 + 3*u**2 - 1/6*u**3 - n*u**4 + 0*u + 0. Factor x(r).
-(r + 1)**2
Let l(n) = n**2 + 1. Let j(i) = -6*i**2 - 5*i + 1. Let f(u) = 2*j(u) + 10*l(u). Suppose f(k) = 0. What is k?
-6, 1
Let k(n) be the second derivative of n**5/4 + 5*n**4/12 - 5*n**3/3 - 2*n. Determine w, given that k(w) = 0.
-2, 0, 1
Suppose 42 = 17*u + 8. Factor -2/5*h - 4/5 + 2/5*h**u.
2*(h - 2)*(h + 1)/5
Suppose 2*r - r = 2. Let i be -1 - (10/(-3))/r. Solve 0*j**2 + i*j**3 + 0*j + 2/3*j**4 + 0 = 0 for j.
-1, 0
Let l be 4 + -2*1/2 - 3. Let a(w) be the third derivative of -1/30*w**5 + 0*w**3 + l*w + 2*w**2 - 1/60*w**6 + 0 + 1/6*w**4. Factor a(m).
-2*m*(m - 1)*(m + 2)
Suppose 3*f + 2*f = -1010. Let j = f - -1014/5. Solve 2*y - 14/5*y**4 - j - 2*y**3 + 18/5*y**2 = 0.
-1, 2/7, 1
Factor 60*g**2 - 14 - 34 - 63*g**2 - 24*g.
-3*(g + 4)**2
Let h be 3/(-3) + 0 + (2 - -3). Factor -6*j**2 - 2*j**3 - 8*j - 1/4*j**h - 4.
-(j + 2)**4/4
Suppose 10*d**2 + 3*d**4 - 26*d**3 + 11*d**2 + 11*d**3 - 9*d = 0. Calculate d.
0, 1, 3
Let k = 73 + -71. Let p(a) be the second derivative of -1/3*a**3 - 3*a + 2*a**k - 1/6*a**4 + 0. Solve p(n) = 0.
-2, 1
Suppose 5*w = -5*f + 2*w, -2*f = 4*w + 14. Factor -3*g**3 + 4*g**2 + 3*g**4 + g**f - g**4 - 8*g**2.
2*g**2*(g - 2)*(g + 1)
Let u(t) be the first derivative of -t**7/2100 + t**5/300 + t**3 + 4. Let v(l) be the third derivative of u(l). Factor v(s).
-2*s*(s - 1)*(s + 1)/5
Let m(o) be the third derivative of o**8/1512 + o**7/945 - o**6/180 - o**5/54 - o**4/54 + 5*o**2 - 2. Factor m(l).
2*l*(l - 2)*(l + 1)**3/9
Factor -8*q**2 + q**4 + q**4 + 3*q**4 - q**4 + 4.
4*(q - 1)**2*(q + 1)**2
Let u be 25/30*8/5. Find n such that -1/3*n**2 - u*n - 4/3 = 0.
-2
Let y(x) be the first derivative of 4*x**3 - 5*x**3 - 1 + 0*x**3 + 2*x**3. Determine s, given that y(s) = 0.
0
Let d be ((-52)/9 + (-288)/(-48))*6. Factor 2/3*o**2 - d - 2/3*o.
2*(o - 2)*(o + 1)/3
Let m be 15/(-25)*1/(-18). Let j(r) be the third derivative of 0*r + 1/300*r**5 - m*r**3 - 2*r**2 + 0*r**4 + 0. Solve j(t) = 0.
-1, 1
Let q = -5 - -7. Let j(b) be the first derivative of -4*b**q + 2/3*b**3 + 8*b - 2. Factor j(l).
2*(l - 2)**2
Let o(s) be the first derivative of 7*s**6/4 - 18*s**5/5 + 9*s**4/8 + s**3 - 8. Factor o(k).
3*k**2*(k - 1)**2*(7*k + 2)/2
Find a, given that 2/5*a**3 - 14/5*a**2 - 24/5 + 32/5*a = 0.
2, 3
Let f(g) be the third derivative of -g**8/168 - 6*g**2. Solve f(r) = 0.
0
Let d(z) be the third derivative of -3*z**2 + 0*z**3 - 1/24*z**4 + 0 + 0*z - 1/120*z**5. Factor d(n).
-n*(n + 2)/2
Suppose -1/4*i**5 - 1/4*i**4 + 0 + 3*i**3 - 4*i - i**2 = 0. Calculate i.
-4, -1, 0, 2
Let b(y) be the second derivative of -y**5/40 + y**3/3 + 45*y. Determine d, given that b(d) = 0.
-2, 0, 2
Let l be 94/(-4)*8/(-12). Let h = 16 - l. Factor 0*c**2 + 0*c**4 + 0 - 1/3*c**3 + h*c**5 + 0*c.
c**3*(c - 1)*(c + 1)/3
Let j(m) be the first derivative of -8/5*m**5 - 10*m**3 - 4 + 7*m**4 + 13/2*m**2 - 2*m. Suppose j(b) = 0. What is b?
1/2, 2
Suppose -5*r + 13 = -12. Suppose r*z = -2 + 17. What is m in 4*m**3 + 4*m**2 + m - 2*m**z + m = 0?
-1, 0
Let t be (10/(-2) + 4)*-5*1. Let y(z) be the third derivative of 2*z**2 + 1/3*z**3 + 1/12*z**4 + 1/120*z**t + 0 + 0*z. Factor y(p).
(p + 2)**2/2
Let h be ((-808)/(-84))/(1/3). Let x = h + -28. Factor 0 + 4/7*u - x*u**2.
-2*u*(3*u - 2)/7
Let r(y) be the first derivative of -1/3*y**3 + 0*y**2 + 0*y - 1/240*y**5 + 1/96*y**4 - 2 + 1/1440*y**6. Let f(c) be the third derivative of r(c). Factor f(h).
(h - 1)**2/4
Let h(y) = -5*y**4 - 2*y**3 + 12*y**2 + 2*y - 3. Let b(i) = 35*i**4 + 15*i**3 - 85*i**2 - 15*i + 20. Let r(v) = -2*b(v) - 15*h(v). Factor r(w).
5*(w - 1)**2*(w + 1)**2
Let w(b) = -14*b - 70. Let s be w(-5). Factor 1/3 + s*z - 1/3*z**2.
-(z - 1)*(z + 1)/3
Factor -1 + 11/3*f + 2*f**3 - 14/3*f**2 + 1/3*f**4 - 1/3*f**5.
-(f - 1)**4*(f + 3)/3
Suppose 0*c = 3*c - 9. Suppose -6 = -c*d + d. Find q, given that -d*q - 3*q**4 + q**4 + 3*q**4 - q**2 + q**3 + 2*q = 0.
-1, 0, 1
Let j be ((-3)/2)/((-6)/12). Let 6/7*v + 0 + 9/7*v**2 - j*v**4 - 9/7*v**5 - 9/7*v**3 = 0. What is v?
-1, 0, 2/3
Let a(k) be the first derivative of -4/3*k + 2/15*k**5 - 5/3*k**2 + 1/6*k**4 - 5 - 2/3*k**3. Find m, given that a(m) = 0.
-1, 2
Let m = 9 - 7. Solve o**2 - o**m + 0*o**2 + o - o**2 = 0.
0, 1
Determine t so that 24 + 10*t**2 + 27*t**2 + 44*t - 4*t**3 - 21*t**2 = 0.
-1, 6
Let i(q) be the second derivative of q**7/21 - q**5/5 + q**3/3 + 10*q. Factor i(n).
2*n*(n - 1)**2*(n + 1)**2
Let p(d) be the first derivative of d**3/15 - 3*d**2/10 + 2*d/5 - 8. Solve p(s) = 0 for s.
1, 2
Let u be 4/((3/(-18))/1). Let z be 16/42 + u/(-84). Factor -8/3 + 8/3*c - z*c**2.
-2*(c - 2)**2/3
Let w(s) = -4*s**2 - 2. Let v = -7 + 10. Let a(x) = 5*x**2 - x + 3. Let f(o) = v*w(o) + 2*a(o). Find y such that f(y) = 0.
-1, 0
Let w(m) be the third derivative of -m**5/60 - m**4/24 + 5*m**3/3 + m**2. Let j be w(0). Factor -2 - 25/2*o**2 - j*o.
-(5*o + 2)**2/2
Let r(a) be the third derivative of 7*a**8/120 + 17*a**7/75 - 23*a**6/25 + 62*a**5/75 - 4*a**4/15 - 8*a**2. Solve r(b) = 0 for b.
-4, 0, 2/7, 1
Let t(n) = -2*n - 6. Let z(v) = v**2 - 2*v - 7. Let l(u) = -7*t(u) + 6*z(u). Let p(f) = 11*f**2 + 3*f. Let d(b) = -7*l(b) + 4*p(b). Factor d(m).
2*m*(m - 1)
Let q(g) be the first derivative of -2*g**3/33 + 7*g**2/11 + 41. Factor q(z).
-2*z*(z - 7)/11
Let x(s) = -7*s**4 - 9*s**3 + 8*s**2 + 21*s - 5. Let d(i) = -3*i**4 - 4*i**3 + 4*i**2 + 10*i - 2. Let y(r) = 5*d(r) - 2*x(r). Factor y(o).
-o*(o - 2)*(o + 2)**2
Find s such that -s**3 - 8*s**3 - 2*s - 2*s + 4*s**2 + 8*s**3 = 0.
0, 2
Let k(l) = 5*l**2 + l. Let n(x) = 2*x**2 - 9*x + 7*x - 8*x**2. Let m(i) = 4*k(i) + 3*n(i). Determine o so that m(o) = 0.
0, 1
Suppose b - 3*g - 2 = 0, 4*g = 4*b + g - 17. Let -2 - 2*u**b - 4*u**5 - 5*u + 3*u**4 + 11*u**4 - 4*u**3 + 15*u - 12*u**2 = 0. Calculate u.
-1, 1/3, 1
Let v(r) = 11*r**4 - r**3 - 6*r**2 + 6*r. Let d(x) = 9*x**4 - x